Answer:
3.14
Step-by-step explanation:
Given that:
Mean weight (m) = 79 ounces
Population standard deviation (s) = 13.1
Sample size = 47
Maximal margin of error associated with 90% confidence interval.
The margin of error is given by:
Zcritical * (standard deviation / sqrt(sample size)
Z critical at 90% confidence interval = 1.645
Hence,
Zcritical * (standard deviation / sqrt(sample size)
1.645 * 13.1 / sqrt(47)
1.645 * (13.1 / 6.8556546)
1.645 * 1.9108313
Hence, the margin of error is :
3.1433174885
= 3.14
A mural measures 145 feet long by 190 feet high. Find the ratio of the height to the perimeter of this mural.
The ratio of height to perimeter of mural is 19:67.
The perimeter of mural will be calculated by the formula -
Perimeter = 2 × (length + breadth)
So, finding the perimeter using the mentioned formula. Keep the values of length and breadth in formula to calculate the perimeter of mural.
Perimeter = 2 × (145 + 190)
Performing addition of values in bracket
Perimeter = 2 × 335
Performing multiplication
Perimeter = 670 feet
Ratio = Height : Perimeter
Ratio = 190 : 670
Cancelling zero to find the ratio
Ratio = 19 : 67
Hence, the ratio of the height to the perimeter of this mural is 19:67.
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What is the value of 8 in each number? 389
Answer:80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
its just 80
NEED HELP ASAP
Which ordered pairs are solutions to the system of inequalities?
{x−3y≥1
{2x+y≤4
Select each correct answer.
(0, 3)
(−1, 1)
(3, −2)
(4, 0)
(2, 3)
(1, −1)
Solve the Question Provided by the picture.
(Im trying to correct my answer)
Will give Brainliest!
Alejandro can wash 4 cars in an hour.
How much time would it take Alejandro to wash: 8 cars? 20 cars?
There are 2 variables. Name each one with a letter.
# of hours he washes cars:
# of cars he washes:
Represent this situation as an equation with the 2 variables:
Answer: Alejandro will wash 8 cars in 2 hours and 20 cars in 5 hours
Step-by-step explanation:You would just need to divide 4 by 8 and 20.8 divided by 4 is 2 and 20 divided by 4 is 5
If Fran were to paint her living room alone, it would take her 5 hours. Her sister Wanda could do the job in 8 hours. How many hours would it take them working together
It would take 3.43 hours to paint living room working together.
In this question, we have been given Fran were to paint her living room alone, it would take her 5 hours. Her sister Wanda could do the job in 8 hours.
We need to find the amount of time required them working together.
Let they need 'x' hours to paint living room together.
So, we get an equation,
1/6 + 1/8 = 1/x
We need to find the value of x.
1/x = (8 + 6) / 48
1/x = 14/48
x = 48 / 14
x = 3.43 hours
Therefore, it would take 3.43 hours to paint living room working together.
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can someone help me with this domain and function question :)
Answer: (-∞, ∞)
Step-by-step explanation:
|2x+5|+3 can't equal 0. The denominator can't equal 0.
|2x+5|+3[tex]\neq[/tex]0
|2x+5|[tex]\neq[/tex]-3 ==> Absolute value functions can't be negative, so the denominator will never equal 0.
Hence, domain is x equals all real numbers: (-∞, ∞)
Use the formula for the area of a trapezoid A = h (bi+b²), 2 where A is area, b₁ and b₂ are the length of the bases, and h is the height, to answer the question. How many square feet of grass are there on a trapezoidal field with a height of 75 ft and bases of 125 ft and 81 ft?
Answer:
7725 ft³===================
Use the given numbers and formula to calculate the area:
[tex]A = h(b_1+b_2)/2[/tex][tex]A = 75(125+81)/2=75(206)/2=75(103)=7725[/tex]Between what two integers does square root of -19 lies
Answer:
4 and 5
Step-by-step explanation:
4^2=4xx4=16,
5^2=5xx5=25, and 19 is between those two squares
Eighty meters of fencing is available to enclose the rectangular garden of Mang
Gustin. Give a function A that can represent the area that can be enclosed in
terms of x.
A function that can represent the area that can be enclosed in terms of x is 40x-x².
Given that Eighty meters of fencing is available to enclose the rectangular garden of Mang Gustin.
Area is defined as the amount of space that can be used within a flat surface or the surface of a solid. Perimeter is defined as a continuous line that forms a boundary to define a two-dimensional shape.
Let the length of garden, l=x
and the given perimeter, p=80
As we know, perimeter of rectangle is P=2(l+b).
Now, we will substitute the values and find the value of b, we get
80=2(x+b)
Now, we will divide both sides by 2, we get
80/2=2(x+b)/2
40=x+b
Further, subtract x from both sides, we get
40-x=x+b-x
40-x=b
Now, we will find the area of rectangle by using the formula A=lb.
Substitute the values in above formula, we get
A=x(40-x)
A=40x-x²
Hence, the area that can be enclosed in terms of x is 40x-x².
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The graph of f(x) is shown.
On a coordinate plane, a parabola opens up. It goes through (negative 1.75, 4), has a vertex of (negative 0.25, negative 3), and goes through (1.4, 4). Solid circles appear on the parabola at (negative 1.6, 3.1), (negative 1.2, 0), (negative 0.25, negative 3), (0.8, 0), (1.2, 3.1).
Over which interval on the x-axis is there a negative rate of change in the function?
–2 to –1
–1.5 to 0.5
0 to 1
0.5 to 1.5
Answer:
The answer is A. –2 to –1
Step-by-step explanation:
Answer: A on edge
Step-by-step explanation:
Please solve this, thank you
Answer:
2.62 x 10^16
Step-by-step explanation:
Let look at the numerator:
(3.1 x 10^6)(6.97 x 10^4)
= (3.1 x 6.97) x 10^(6+4)
= 21.607 x 10^10
So 21.607 x 10^10
_______________
8.245 x 10^-6
= (21.607/8.245) x 10^(10 - -6)
= 2.62 x 10^(10 + 6)
= 2.62 x 10^16
I hope this helps
write an equation in slope-intercept form of the line that bisects the angle formed by ED and EF.
Answer:
ok
Step-by-step explanation:
the answer is (2,4)
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The vertices of Figure A are located at (-9,4), (-3,6), (-2,3) and (-8,1) on a coordinate plane. Figure A is transformed to Figure B by rotating the figure 90º clockwise about the origin, translating it 8 units left and 4 units down, and then dilating from the origin by a scale factor of 2. Which ordered pair will be a vertex in Figure B?
A. (-8,10)
B. (−2, 5/2)
C. (-9/2 −6)
D. (-22,-12)
Answer:
a
Step-by-step explanation:
.............................
Answer: yes i get it
Step-by-step explanation:
Help please it’s geometry
Answer:
RA = RB because the base angels of isosceles are equal and their measurement are equal too
Step-by-step explanation:
angle RAB=180(sum of angels of a triangle)
180/2=90
90/3=30
Angle R= 90
Angle A=30
Angle B= 30
So,It is proved that RA=RB
I tried my best to answer hope it is accurate.
ASAP, yk the pain too, help me out!!! begging
2x+p/q=2x+q/p, p DOESNt equal to 0, q doesn’t equal to 0
Answer: If p=q, ______. If p doesn’t equal q, _______.
The equation, [tex] \frac{2 \cdot x + p}{q} = \frac{2 \cdot x + q}{p} [/tex], gives;
When p = q, the number of solutions is infinite.
When p ≠ q, the equation has no solution
How can the given equation be evaluated?The given equation is presented as follows;
[tex] \frac{2 \cdot x + p}{q} = \frac{2 \cdot x + q}{p} [/tex]
If p = q, we have;
[tex] \frac{2 \cdot x + q}{q} = \frac{2 \cdot x + q}{q} [/tex]
[tex] \frac{2 \cdot x + p}{p} = \frac{2 \cdot x + p}{p} [/tex]
Therefore, the equation has an infinite number of solutions when p = Q
If p ≠ q, and x = 3, we have;
[tex] \frac{2 \cdot x + p}{q} = \frac{2 \times 3 + p}{q} = \frac{6 + p}{q} [/tex]
[tex] \frac{2 \cdot x + q}{p} = \frac{6 + q}{p} [/tex]
[tex] \frac{6 + p}{q} [/tex] = \frac{6 + q}{p} [/tex]
6•p + p² = 6•q + q²
However;
p ≠ q
Therefore;
6•p ≠ 6•q
p² ≠ q²
6•p + p² ≠ 6•q + q²
Which gives;
[tex] \frac{6 + p}{q} \neq \frac{6 + q}{p} [/tex]
The equation is not defined when p ≠ q
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Write the slope-intercept equation of the function f whose graph satisfies the given conditions.
The graph of f passes through (-9,-8) and is perpendicular to the line whose equation is x = 8.
The equation of the function is
Answer:
y = -8
Step-by-step explanation:
line x = 8 is a vertical line so the line perpendicular has slope of 0
Using m = 0, x = -9, y = -8
y = mx + b
-8 = 0(-9) + b
b = -8
so y = -8
Step-by-step explanation:
y = 8, the one above is correct, we both are.
Simplify the complex fraction below.
Answer: 6
:)
___________________________________
Answer:
[tex] \sf \large \: \frac{2}{27} [/tex]
Step-by-step explanation:
Let's solve this equation step by step
2/3/1/9
= 2/3/9/1
= 2/27
what does a sqiggley equal sign mean.
Answer:
Approximately ≈
Step-by-step explanation:
Answer:
approximately equal to
or
Approximate equality
Please help me solve this problems.
Answer:
[tex] \sqrt{54 {x}^{5}yw {}^{8} } \\ \sqrt{7 \times 8 {x}^{5}yw {}^{8} } \\ = 2x {}^{2} {w}^{4} \sqrt{14xy} [/tex]
:
Uncle Choo sold 580 reams of printing paper in January and 755
reams of printing paper in February.
He sold 2100 reams of printing paper from January to March.
How many reams of printing paper did he sell in March?
Step-by-step explanation:
2100-(580+755)
2100-1335
=835
Answer=
January=580
February=755
January+February=
580+755=1335
March=2100-1335
=765
so March is 765 reams
January+February+March
580+755+765=2100reams
A spinner has 6 equal sized slices numbered from 1 to 6. Some are grey and some are white, as shown below.
Answer the following questions, write each answer as a fraction.
The wheel will be spun and will stop on a slice at random.
a) what is the probability that the wheel stops on number 2?
b) what is the probability that the wheel stops on number 2, given that the wheel stops on a white slice?
-2x-y=1 in slope intercept form
a bouquet has 10 flowers.among them,3 are red. at the same ratio, how many red flowers are needed to prepare two bouquets
Answer:
in one bouquet there are 3 red so in two bouquets there must be 6
A rectangular room is 15 ft long and 10 ft wide. A scale drawing of the room had a width of 5 inches.What is the length of the room in the drawing?
Answer:
7.5 inches
Step-by-step explanation:
15 ft long and 10 ft wide becomes 3/2 when converted into a ratio
we now have 3/2 and five inches
3 is 1.5*2
5*1.5 is 7.5
Answer:
7.5in
Step-by-step explanation:
If the original room's dimensions are (15ft x 10ft). Then the new scaled-down version is (?ft x 5in) we can set up a ratio of 10/5 = 2 to find that the scale from the room to the drawing is being shrunk by a factor of 2. So if you take 15/2 you will get your final answer of the new length of 7.5in!
Is this true
4. When you subtract two numbers, if you reduce the first number in the subtraction by one, the result is one less. For example, 12 – 4 is 8 and 11 – 4 is 7
Answer:
The answer is True
Step-by-step explanation:
In the substraction, if you reduce or increase the substrahend by a number, the result is the same number less or more
Find a solution to the linear equation 13x +y =26 by filling in the bows with a valid value of x and y.
The solution to the linear equation are x = 2 - y/13 and y = 26 - 13x.
It is required to find the solution to the linear equation.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
The equation is
13x + y = 26
We have to find the value of x and y .
According to given question we have
13x + y = 26
Subtract 13x from both sides we get,
y = 26 - 13x
Subtract y from both sides
13x = 26 - y
Divide through by 13
x = 2 - y/13
Therefore, the solution to the linear equation are x = 2 - y/13 and y = 26 - 13x.
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he definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requires the undefined terms of line and point. What characteristics of these geometric figures create the different requirements?
Answer:
Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.
Step-by-step explanation:
The owners of an apartment building bought it new and then 5 years later sold it for $165000. They calculated that the building appreciated $2000 per year
while they owned it.
ind a linear function that describes the value of the building over time, if a is the age of the apartment building.
f(a)= 2000a +155000 is a linear function that describes the value of the building over time, if a is the age of the apartment building
The owners of an apartment building bought it new and then 5 years later sold it for $165000. They calculated that the building appreciated $2000 per year while they owned it.
we have to find a linear function that describes the value of the building over time, if a is the age of the apartment building
write a linear function is in slope-intercept form:
y= mx+b
Here, x is the independent variable, and y is the dependent variable. Also, the slope of the line, m, represents some kind of constant rate. Finally, b, the y-intercept represents some sort of starting value for our dependent variable.
165000= $2000*5+b
$165000= $10000+b
$155000=b
f(a)=2000a+155000
therefore f(a)= 2000a +155000 is a linear function that describes the value of the building over time, if a is the age of the apartment building
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