The measure of the angle is 81 degrees, and the measure of its supplementary angle is 99 degrees.
Let x be the measure of the angle in question, and let y be the measure of its supplementary angle.
By definition, supplementary angles add up to 180 degrees, so we have:
x + y = 180
We also know from the problem statement that:
x = y - 18
We can substitute the second equation into the first equation to eliminate y, giving:
(y - 18) + y = 180
Simplifying this equation, we get:
2y - 18 = 180
Adding 18 to both sides, we get:
2y = 198
Dividing both sides by 2, we get:
y = 99
Finally, we can use the equation x = y - 18 to find the measure of the angle in question:
x = 99 - 18 = 81
Therefore, the measure of the angle is 81 degrees, and the measure of its supplementary angle is 99 degrees.
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Use the information below to work out the closest distance that a cinema can
put seats to the screen.
Give your answer to 1 d.p.
Safety rules say that the angle of elevation from a customer's eyes to the top of
the screen must be no more than 31°.
The top of the cinema screen is 7.3 m above the floor.
Customers' eyes are 1.2 m above the floor when they are sat on a seat.
The closest distance that a cinema can put seats to the screen is approximately 3.2 meters.
What is the trigonometric ratio?the trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.
According to the given information:We can use trigonometry to find the closest distance that a cinema can put seats to the screen.
Let "d" be the closest distance between the screen and the seats. Then, we can form a right triangle with the distance "d" as the adjacent side, the height of the screen (7.3 m) as the opposite side, and the height of the customer's eyes above the floor (1.2 m) plus the height of the seat above the floor (which we can assume is 0.5 m) as the hypotenuse.
Using the tangent function, we can write:
tan(31°) = (7.3)/(d + 1.7)
Solving for "d", we get:
d = (7.3)/(tan(31°)) - 1.7 ≈ 3.2 m
Therefore, the closest distance that a cinema can put seats to the screen is approximately 3.2 meters.
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Please someone help me!!
I’m so confused
1.) Circle A has been transformed to Circle B. What is the translation rule for these circles?
A.) (x-2),(y+3)
B.) (x+2),(y+3)
C.) (x-1),(y+4)
D.) (x+4),(y+3)
*Please Show All Work***
2.) Circle A has been transformed to Circle B. What is the scale factor of Circle A to Circle B?
Answer:
(x, y ) → (x + 2, y + 3 )
Step-by-step explanation:
consider the coordinates of the centres of circles A and B
A (- 1, - 1 ) and B (1, 2 )
- 1 → 1 in the x- direction is + 2
- 1 → 2 in the y- direction is + 3
then translation rule is
(x, y ) → (x + 2, y + 3 )
Hind drove for 258km in 2 days. on the first day she drove 135km, write an equation that can be used to find the distance she drove on the second day.
Answer: 135 + x = 258; x = distance driven on second day (in km).
Step-by-step explanation: Another alternative way to write the equation could be "258 - 135 = x" where x = distance driven on second day (in km).
"x" itself in the case of these equations would be 123km.
Class A has 20 students, Class B has 15 students, if the average weight of the students of 2 classes is 34.2 kg and the ratio of the total weight of the students of class A to that of class B is 11:8, find the average weight of the students of class A
Answer:
the average weight of the students in Class A is 25.92 kg.
A rectangular prism has whole-number dimensions. It has a height of 26 inches, a square base, and a surface area of 216 in2. What are the dimensions of the base of the prism?
Using the surface area of the rectangular prism we know that the dimensions of the base are 2in x 2in.
A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism.
A rectangular prism also refers to a cuboid.
A cuboid and a rectangular prism have the same cross-section.
The surface area of the rectangular prism: A=2(wl+hl+hw)
Insert values: A=2(wl+l+hw)
232=2(wl+28l+28w)
232 = 2wl + 56l + 56w
We know that w and l are equal as: w = l as the base is square:
So, we can write:
232 = 2wl + 56l + 56w
232 = 2w² + 56w + 56w
232 = 2w² + 112w
2w² + 112w - 232 = 0
2w² + w(116 - 4) -232
2w² + 116w - 4w - 232
2w(w+58) -4(w+58)
Then, we have:
w+58 = 0 ⇒ w = -58
2w-4 = 0 ⇒ w = 2
Since the base measurements cannot be negative.
Then, the dimensions of the base are: 2in x 2 in
Therefore, using the surface area of the rectangular prism we know that the dimensions of the base are 2in x 2in.
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A machine fills 16 ounce coke bottles. It places coke in the bottles.
Not all bottles hold exactly 16 ounces. The volume of the coke is
normally distributed with a mean of 16.2 ounces and a standard
deviation of 0.3 ounces.
Make a curve to represent the distribution to help you answer the
following:
a. If you purchase a coke filled by the dispenser what is the
percentage it has less than 16.5 ounces?
b. If you purchase a coke filled by the dispenser what is the
percentage it has less than 15.9 ounces?
c. If you purchase a coke what is the percentage it has more than
15.3 ounces?
d. If you purchase a bag what is the percentage it has between 15.9
and 16.8 ounces?
Option B is best represents for the answer. A. 84.13%. B. 15.87%. 99.87%. D. 81.86%. To create the distribution curve, we can use the normal distribution formula: [tex]f(x) = (1/σ√(2π)) * e^(-0.5((x-μ)/σ)^2)[/tex]
where:
f(x) = probability density function at value x
μ = mean = 16.2
σ = standard deviation = 0.3
Using this formula, we can calculate the probabilities for the given scenarios:
a. Probability of a coke having less than 16.5 ounces:
We need to find P(X < 16.5), where X is the volume of the coke in ounces.
Using the z-score formula, we can standardize the value of 16.5:
z = (16.5 - 16.2) / 0.3 = 1
P(Z < 1) = 0.8413
Therefore, the probability of a coke having less than 16.5 ounces is 84.13%.
b. Probability of a coke having less than 15.9 ounces:
We need to find P(X < 15.9), where X is the volume of the coke in ounces.
Using the z-score formula, we can standardize the value of 15.9:
z = (15.9 - 16.2) / 0.3 = -1
P(Z < -1) = 0.1587
Therefore, the probability of a coke having less than 15.9 ounces is 15.87%.
c. Probability of a coke having more than 15.3 ounces:
We need to find P(X > 15.3), where X is the volume of the coke in ounces.
Using the z-score formula, we can standardize the value of 15.3:
z = (15.3 - 16.2) / 0.3 = -3
P(Z > -3) = 0.9987
Therefore, the probability of a coke having more than 15.3 ounces is 99.87%.
d. Probability of a bag having between 15.9 and 16.8 ounces:
We need to find P(15.9 < X < 16.8), where X is the volume of the coke in ounces.
Using the z-score formula, we can standardize the values of 15.9 and 16.8:
z1 = (15.9 - 16.2) / 0.3 = -1
z2 = (16.8 - 16.2) / 0.3 = 2
P(-1 < Z < 2) = 0.8186
Therefore, the probability of a coke having a volume between 15.9 and 16.8 ounces is 81.86%.
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Lines BC and DE are both vertical.
What is the length of AD?
Answer:
The answer is 6
Megan decides to research the relationship between the length in inches and the weight of a certain species of catfish. He measures the length and weight of a number of specimens he catches then throws back into the water. After plotting all his data, he draws a line of best fit. What does the slope of the line represent
Based on the line of best fit, the length of this catfish can be predicted to be 38 inches.
Given the following data:
Weight of catfish, x = 40 pounds.What is a line of best fit?A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.
From the graph of the data, we have the following linear equation:
[tex]y=\dfrac{1}{2}x+18[/tex]
Substituting the value of x, we have:
[tex]y=(\dfrac{1}{2}\times40)+18[/tex]
[tex]y=20+18[/tex]
[tex]\bold{y = 38 \ inches.}[/tex]
At a home goods store, Advik buys a bird bath for $24.50 and several bags of mulch that cost $2.79 each. The total for his purchase is $66.35 before tax.
Find how many bags
Answer:
Step-by-step explanation:
Advik spends $24.50 at the home goods store on a bird bath and $2.79 a bag for multiple mulch bags. His total before tax for the purchase is $66.35. 15 sacks of mulch were bought by Advik.
Let's start by first finding the total cost of the bird bath and the mulch bags.
The cost of the bird bath is $24.50.
Let's use "x" to represent the number of bags of mulch that Advik purchased. Each bag costs $2.79, so the total cost of the mulch bags is 2.79x.
The total cost of the purchase before tax is $66.35. So we can write an equation:
24.50 + 2.79x = 66.35
To solve for x, we can first subtract 24.50 from both sides:
2.79x = 41.85
Then we can divide both sides by 2.79:
x = 15
So Advik purchased 15 bags of mulch.
The complete question is:-
At a home goods store, Advik buys a bird bath for $24.50 and several bags of mulch that cost $2.79 each. The total for his purchase is $66.35 before tax.
Find how many bags he purchased.
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I need help 100 points for correct answer please only correct answer
Answer: Yes, they are similar
Step-by-step explanation: HAVE AN AMAZING DAY AND GOOD GRADES!!!!! :D
help my math please help
Answer:
Step-by-step explanation:
Strap in man I can only do so much with 5000 characters:
1) 8 outcomes
2) Fried rice - chicken adobo - pineapple juice
Fried rice - pinakbet - pineapple juice
Steamed rice - chicken adobo - pineapple juice
Steamed rice - pinakbet - pineapple juice
3) 4
4) 2
5) 2
6) 2
7) 4/8 or 1/2 or 50%
8) 2/8 or 1/4 or 25%
9) 2/8 or 1/4 or 25%
10)2/8 or 1/4 or 25%
That's it! I hope this helps you out. Got any questions. I'll uh...be here :)
Select the zeroes of the following
3(x − 4)² +6
6
2
3
4
Notes:
Hi,
I don't really know what you're asking, so if you could clarify, that would be great. Thanks!
(Do you want me to simplify the equation? Find out what x is?)
- 201600823
Answer:
none of the above
Step-by-step explanation:
3(x − 4)² +6 = 0
3(x − 4)² = -6 / : 3
(x − 4)² = -2
x² - 8x + 16 = -2
x² - 8x + 16 + 2 = 0
x² - 8x + 18 = 0
D = b² - 4ac = (-8)² - 4 * 1 * 18 = 64 - 72 = -8 < 0
Since the discriminant is less than zero, this quadratic equation has no solutions, the graph would not cross the x-axis and therefore have no zeros.
a) Write the missing numbers.
50% of 60 =
5% of 60 =
1% of 60 =
b) Work out 56% of 60
You can use part (a) to help you.
38
3
0.6
The missing numbers 50% of 60 = 30
What are numbers?A number is a numerical unit of measurement and labeling in mathematics.
The natural numbers 1, 2, 3, 4, and so on are the first examples.
Number words are a linguistic way to express numbers.
Most commonly, specific numbers can be represented using symbols known as numerals; for instance, the numeral "5" stands in for the number five.
Basic numerals are frequently grouped in a numeral system, which is an ordered manner to represent any number, because only a small number of symbols can be learned.
The most widely used number system is the Hindu-Arabic number system, which enables the depiction of any number using a combination of 10 basic numerical symbols, or "digits."
50*60/100
30
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What is the quotient of 1.888×10 and 5.9×10 6 expressed in scientific notation?
The required quotient of 1.888 x 10 and [tex]5.9 x 10^6[/tex] expressed in scientific notation is [tex]$3.1966 \times 10^{-6}$[/tex].
How to find quotient in scientific notation?To express the quotient of 1.888 x 10 and [tex]5.9 x 10^6[/tex] in scientific notation, we can write:
[tex]$\frac{1.888 \times 10}{5.9 \times 10^6}$[/tex]
We can simplify the numerator by moving the decimal point one place to the left:
[tex]$\frac{0.1888 \times 10^1}{5.9 \times 10^6}$[/tex]
Now, we can divide the coefficients and subtract the exponents:
[tex]$\frac{0.1888}{5.9} \times 10^{2-6}$[/tex]
[tex]$= 0.031966 \times 10^{-4}$[/tex]
Finally, we can express the result in proper scientific notation by moving the decimal point one place to the right:
[tex]$= 3.1966 \times 10^{-6}$[/tex]
Therefore, the quotient of 1.888 x 10 and [tex]5.9 x 10^6[/tex] expressed in scientific notation is [tex]$3.1966 \times 10^{-6}$[/tex].
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1 ptSome plants rely on hummingbirds for pollination. If a deadly disease infected the hummingbird population, what would MOST likely happen to the plants? They would die within hours.They would become endangered.They would need to migrate.They would grow at a slower rate.
If a deadly disease infected the hummingbird population, what would most likely happen to the plants option (b) They would become endangered
If a deadly disease infected the hummingbird population, it would most likely lead to a decrease in the pollination of plants that rely on hummingbirds for pollination. Without the hummingbirds to transfer pollen between flowers, these plants would have a reduced rate of successful pollination, which would result in a decrease in their ability to reproduce.
However, it is unlikely that the plants would die within hours or become endangered immediately, nor would they need to migrate. The effect of the loss of hummingbird pollinators on the plants would depend on the specific plant species, their pollination requirements, and the availability of alternative pollinators. Some plants may be more adaptable to using alternative pollinators, while others may suffer more severe consequences. It is also possible that the loss of hummingbirds could lead to a decline in the populations of other animals that depend on the plants, creating a ripple effect in the ecosystem.
Therefore, the correct option is (d) They would become endangered
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what is the minimum number of randomly chosen people needed in order to be sure that at least four of them were born in the same month
Answer: Well, there are 12 months in a year, so that's 12 people at least, and if we wanted to make sure that we had at least 4 people of the same month, we'd want 4 times 12, so 48 people is my guess
sorry if it's wrong. Hope this helps!
Step-by-step explanation:
A plan of a school compound is drawn to a scale of 1cm represent 5m. 1 find its length and breadth of the drawing. If the football field is 50m by 30m. 2 if the scale drawing of the hall is 7cm by 32cm rectangle, find its length and breadth
the length of the hall is 35 m and the breadth of the hall is 160 m.
To find the length and breadth of the drawing, we need to use the scale given. We know that 1 cm represents 5 m, so we can use this proportion to find the actual dimensions of the school compound:
1 cm : 5 m = x cm : y m
To find the length of the drawing, we can use the given dimensions of the football field, which are 50 m by 30 m:
Length of the drawing = 50 m / 5 m per cm = 10 cm
Breadth of the drawing = 30 m / 5 m per cm = 6 cm
Therefore, the length of the drawing is 10 cm and the breadth of the drawing is 6 cm.
To find the actual length and breadth of the hall, we need to use the scale given. We know that 7 cm represents the length and 32 cm represents the breadth:
Length of the hall = 7 cm x 5 m per cm = 35 m
Breadth of the hall = 32 cm x 5 m per cm = 160 m
Therefore, the length of the hall is 35 m and the breadth of the hall is 160 m.
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The ratio of the interior angles of a triangle is 1 : 1 : 4. What are the angle measures? Write the angle measures from least to greatest.
Answer:
The angle measures from least to greatest are 30°, 30° and 120°.
Step-by-step explanation:
The interior angles of a triangle sum to 180°.
Given the ratio of the interior angles of a triangle is 1 : 1 : 4 then:
x + x + 4x = 180°
Solve the equation for x:
⇒ 6x = 180°
⇒ x = 30°
Therefore, the angle measures are:
x = 30°x = 30°4x = 4 × 30° = 120°So the angle measures from least to greatest are 30°, 30° and 120°.
Answer:
30 , 30 , 120 .
Step-by-step explanation:
Given :
The ratio of interior angles of a triangle are in ratio of 1:1:4 .To find :
The angles from least to greatest .Solution :
As we know that the angle sum property is 180° , that is the sum of all the interior angles is 180° .
Let us take the given ratio to be 1x:1x:4x .
Sum of these= 1x + 1x + 4x = 6x .
So we can create a equation as ,
==> 6x = 180°
==> x = 180°/6
==> x = 30°
Now we can find the angles as ,
two smaller angles = 1x = 30° .one larger angle = 4x = 4(30°) = 120° .Hence the angles of the triangle are 30° , 30° and 120° .
The circumference of the inner circle is 66ft. The distance between the inner circle and the outer circle is 3ft. By how many feet is the circumference of outer circle greater than the circumference of the inner circle? Use 22/7 for pie. Question content area bottom Part 1 The circumference of outer circle is about enter your response here ft greater than the circumference of the inner circle. (Round to the nearest tenth as needed.)
The circumference of the outer circle is 72 and circumference of the inner circle is 66.Therefore, the circumference of the outer circle is 6ft greater than the circumference of the inner circle.
We know that the circumference of a circle is given by the formula C = 2πr, where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.
Given that the circumference of the inner circle is 66ft, we can find its radius by dividing the circumference by 2π:
r = C/2π = 66/(2π) ≈ 10.52ft
The distance between the inner and outer circles is 3ft, so the radius of the outer circle is 3ft greater than the radius of the inner circle:
r_outer = r_inner + 3ft = 10.52ft + 3ft = 13.52ft
Now, we can find the circumference of the outer circle using the same formula as before:
C_outer = 2πr_outer ≈ 72ft
Finally, to find the difference between the circumference of the outer circle and the circumference of the inner circle, we subtract the circumference of the inner circle from the circumference of the outer circle:
C_difference = C_outer - C_inner ≈ 72ft - 66ft = 6ft
Therefore, the circumference of the outer circle is 6ft greater than the circumference of the inner circle.
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Can someone help me with my practice test?
Answer:
9. (x +3)² +4x = x² +10x +9
10. (5 +3m)/15
11. x = (-1±i√14)/3
Step-by-step explanation:
You want help with practice test questions involving quadratics and rational numbers.
9. EquivalenceFor this, it is perhaps easiest to show equivalence by multiplying out the second form of the quadratic:
(x +3)² +4x
= (x +3)(x +3) +4x
= x(x +3) +3(x +3) +4x
= x² +3x +3x +9 +4x
= x² +(3 +3 +4)x +9
= x² +10x +9 . . . . . . . . equivalent form
10. Adding rationalsAs you know, fractions can be added by adding their numerators when they have a common denominator. Here, the denominators of 3 and 5 have no common factors, so the least common denominator is their product, 3·5 = 15. Writing equivalent fractions with denominators of 15, we have ...
[tex]\dfrac{1}{3}+\dfrac{m}{5}=\dfrac{5}{5}\cdot\dfrac{1}{3}+\dfrac{3}{3}\cdot\dfrac{m}{5}\\\\=\dfrac{5}{15}+\dfrac{3m}{15}=\boxed{\dfrac{5+3m}{15}}[/tex]
It can be worthwhile to remember that you can always add fractions with the formula ...
[tex]\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}[/tex]
11. Quadratic formulaThe solution to 3x² +2x +5 = 0 is found using the quadratic formula with ...
a = 3b = 2c = 5[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-2\pm\sqrt{2^2-4\cdot3\cdot5}}{2\cdot3}\\\\=\dfrac{-2\pm\sqrt{-56}}{6}=\dfrac{-2\pm2i\sqrt{14}}{6}\\\\\boxed{x=\dfrac{-1\pm i\sqrt{14}}{3}}[/tex]
__
Additional comment
It can be useful to remember ...
(a ±b)² = a² ±2ab +b²
where the sign of the middle term matches the sign in the binomial. This is also used for "completing the square" where the b² term is the square of the middle term after it is divided by 2a.
Four hockey coaches from the school district use a list of all 4,000 students in the district to generate four random samples of 30 students. Then each coach contacts the students in one sample to find out if the student is interested in playing hockey. The number of students from each sample who said yes are 4, 5, 5, and 3. How many students from the whole district can the coaches expect to be interested in playing hockey?
We can estimate that approximately 14.17% of students in the district are interested in playing hockey.
Total interested students = 0.1417 x 4,000 = 567.
What is an average proportion?An average proportion is the sum of a set of proportions divided by the number of proportions.
It represents the average or typical value of the proportions in the set, and can be used to estimate the overall proportion or percentage of a larger population
To estimate the total number of students in the district who are interested in playing hockey, we can first find the proportion of students in each sample who said yes, and then use the average proportion across all four samples to estimate the proportion of students in the district who are interested.
Finally, we can multiply this proportion by the total number of students in the district to estimate the total number of interested students.
The proportion of students in each sample who said yes is:
Sample 1: 4/30 = 0.1333
Sample 2: 5/30 = 0.1667
Sample 3: 5/30 = 0.1667
Sample 4: 3/30 = 0.1000
The average proportion across all four samples is:
(0.1333 + 0.1667 + 0.1667 + 0.1000) / 4 = 0.1417
To estimate the total number of interested students, we can multiply this proportion by the total number of students in the district: Total interested students = 0.1417 x 4,000 = 567.
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A. Create a net to represent a 3 cm x 5 cm x 6 cm rectangular prism
The total unpainted surface area of these cubes is: 12cm
What is the formula to rectangular prism?Therefore, the formula for the volume of a rectangular prism is, volume of a rectangular prism (V) = l × w × h, where. To find the volume of the rectangular prism, we multiply the length, width, and height, that is the area of the base is multiplied by the height.
The unpainted ones will be the ones in the middle of the prism
Let 3 be the height
There will be 2 × 6 × 5 = 60 painted cubes on the top and bottom
There will 2 × 6 + 2 × 3 = 18 more painted cubes "sandwiched" between the top and bottom surfaces
So...the total unpainted cubes is 90 - 78 = 12
So their total surface area is just [12 × 6 ] cm^2 = 72 cm^2
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The given question is incomplete, complete question is:
A rectangular prism 3cm by 5cm by 6cm is painted mauve and is then cut into 1 cm cubes what is the total unpainted surface area of these cubes
A) 56% of what number is $21.84?
Percent Proportion -
Percent Equation-
B) $495 is 55% of what number?
Percent Proportion -
Percent Equation-
C) 144 is what percent of 240?
Percent Proportion -
Percent Equation-
Answer:
A) 39
B) 900
C) 60%
A) proportion:
21.84 is 56% of x number
x number = 100%
If you want to calculate x you can use proportion. First of all make this kind of system..
x - 100%
21.84 - 56%
Then multiply numbers diagonally.
56x = 2184
Finally solve x
x = 2184/56
x = 39
What is the LCM of 78 and 92?
Answer:
3588
Step-by-step explanation: prime factorize and find common factors, only count those once, take the rest and the common factors and multiply
What is 71% written as a fraction?
You are looking for a way to improve reading glasses by adding mineral to the glass. It is known that without additives, people who use glasses, on average, read 25 pages per day
with a standard deviation of 2.4 pages per day. Now you are wondering if the addition of the mineral increases the number of pages read. You select 30 people for research and give them glasses with a mineral supplement. As you go through your research, you find that these thirty people read an average of 25.5 pages per day. Using z-test for a mean, with a 5% significance level, is it possible to conclude from
this result that the addition of the mineral is effective?Justify your answer by stating what is
(a) the null hypothesis and alternative hypothesis. Explain what test (left-tailed, right-tailed or two-tailed)
you are using. Also find
(b) critical z-value (not the p-value!)
(c) test value
According to the given information, We will use a right-tailed test. The critical [tex]$z$[/tex]-value is [tex]$z_\alpha = 1.645$[/tex] and the test value is 1.77.
What is right-tailed test?
A right-tailed test, also known as a one-tailed test, is a statistical hypothesis test where the alternative hypothesis is directional and is expressed as an inequality with the greater-than symbol (>), indicating that the parameter being tested is expected to be larger than a specified value.
(a) The null hypothesis [tex]($H_0$)[/tex] and alternative hypothesis [tex]($H_a$)[/tex] are:
[tex]$H_0: \mu = 25$[/tex] (the addition of the mineral does not increase the number of pages read per day)
[tex]$H_a: \mu > 25$[/tex] (the addition of the mineral increases the number of pages read per day)
We will use a right-tailed test because the alternative hypothesis is one-sided (i.e., [tex]$\mu$[/tex] is greater than the hypothesized value).
(b) The critical [tex]$z$[/tex]-value for a one-tailed test with a 5% significance level and 29 degrees of freedom ([tex]df=n-1$, where $n=30$[/tex]) is:
[tex]$z_\alpha = 1.645$[/tex] (from the standard normal distribution table or calculator)
(c) The test value ([tex]$z$[/tex]-value) can be calculated as:
[tex]$z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$$[/tex]
where [tex]$\bar{x}$[/tex] is the sample mean, [tex]$\mu$[/tex] is the hypothesized population mean, [tex]$\sigma$[/tex] is the population standard deviation, and [tex]$n$[/tex] is the sample size.
Plugging in the values, we get:
[tex]$z = \frac{25.5 - 25}{\frac{2.4}{\sqrt{30}}} \approx 1.77$$[/tex]
The test value (1.77) is greater than the critical [tex]$z$[/tex]-value (1.645), so we reject the null hypothesis and conclude that the addition of the mineral is effective in increasing the number of pages read per day.
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Evaluate 2x^-4y for x = 2 and y = 4.
1. -64
2. 1/8
3. 1/2
2x^-4y=2(2)^-4.4
2\2^16
1\2^15
The answer is not in the options
HELPPPP DUE TONIGHT!!!!!!!
SOMEONE PLEASE HELP ME WITH THIS QUESTION
What are the coefficients?
Answer: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (4 in 4xy)
Step-by-step explanation: the coefficient is the number or digit that is being multiplied and it is placed before a constant quantity