Answer: d. 0.0047
Step-by-step explanation: The p-value is the calculated value used to compare to the significance level to determine if you reject or fail to reject the null hypothesis.
To find p-value, first find the z-score:
z = [tex]\frac{x-\mu}{SE}[/tex]
x is sample mean
μ is population mean
SE is standard error calculated by [tex]\frac{s}{\sqrt{n} }[/tex]
SE = [tex]\frac{10}{\sqrt{50} }[/tex]
SE = 1.414
z = [tex]\frac{24-28}{1.414}[/tex]
z = - 2.83
The hypotheses ([tex]H_{0}, H_{a}[/tex]) are if sample mean is equal or different from the average given, so, p-value will be the value of z from z-table multiplied by 2:
p-value = 0.00233*2
p-value = 0.0047
The p-value for this test is 0.0047
(05.02 LC)What is the area, in square inches, of the figure shown here? A parallelogram with a height of 4inches is shown. The height of the parallelogram is used to divide the side of the parallelogram into 5 inches, which is the length (or side) of the rectangle, and into 4 inches, which is the base of the triangle formed by the division. 20 in2 24 in2 32 in2 36 in2
Answer:
36 in²
Step-by-step explanation:
The figure that is been described is a Parallelogram.
The area of a Parallelogram is = Base × Height
From the question, the Height of the Parallelogram = 4 inches
The Base of the Parallelogram is calculated as the Length or base of the rectangle + base of the triangle
= 5 inches + 4 inches
= 9 inches
Area of the Parallelogram = 9 inches × 4 inches
= 36 square inches or 36 in²
Answer:
20 INCHES SQUARED
Step-by-step explanation:
Dora bought a bottle of nail polish that was marked down by 20 percent from its original price of $4.50. Including a 9 percent sales tax, what is the final cost of the bottle of nail polish?
Answer:
3.92$
Step-by-step explanation:
The first step is to deduct 20% of 4.50 from 4.50.
20% of 4.50 is 0.2 x 4.50 = .90
4.50 - 0.90 = 3.60
That's the new price without the sales tax.
Now we need to add 9% of 3.60 to 3.60 to get the final cost.
9% of 3.60 is .09 x 3.60 = 0.32
3.60 + .32 = $3.92
Hope it helps.. If yes mark me BRAINLIEST
Tysm!
Answer:
$3.92
Step-by-step explanation:
Hello! For this question we need to gather up all the facts before we could answer it!
The original nail polish cost was $4.50
But the bottle was marked down by 20%
Then has a sales tax of 9%
So let's multiply 4.50 x 0.2 = 0.9
With that we need to subtract off of the original price because it is decreasing.
4.50 - 0.9 = 3.60
But that is not the final price because the bottle has a sales tax! We need to multiply the price after the 20% mark down, so, 3.60 x 0.09 = 0.324
And Then because we are dealing with money, we are going to make sure that we are only adding a decimal that goes up to the hundredths place.
Add: 3.60 + 0.32 = 3.92
The Final price of the nail polish that Dora bought would be $3.92. Which is actually a 0.58 cents drop!
I hope this helped!
Does point A on the graph represent a pair of possible values of m and w?
Yes or no because 20 is or is not equal to 2.5 times 1.
Answer:
No, because 30 is not equal to 2.5 times 6
Step-by-step explanation:
2.5 times 6 = 15
Previous problem : From Andy's house to Billy's hometown you can travel by 3 roads. And to get from Billy's hometown to Willie's house you can travel by 5 roads. How many possible ways are there to travel from Andy's house to Willie's house? From Dan's ranch one road is built to get to Andy's house and two roads are built to get to Willie's house (see previous problem). How many way are there now to get from Andy's house to Willie's house?
Answer:
Andy's house to Billy's hometown 15 ways
Andy's house to Willie's hometown 2 ways.
Step-by-step explanation:
Andy's house to Billy's hometown there are 3 roads. There 5 road from billy's hometown to Willie's house . In total there will be 15 ways to travel which is calculated by 3 * 5. For traveling to Willie's hometown there will be two ways. There are two roads that are built to get to Willie's house.
The graph below shows the distance traveled by a person biking at a rate of 6
miles per hour
The equation is d = 6, where t is the number of hours and d is the distance traveled.
Write an equation that represents the distance traveled by a person who can bike
at a rate of 8 miles per hour
Answer:
[tex]d = 8t[/tex]
Step-by-step explanation:
If you travel at 8 miles per hour, where t is the number of hours, then, using the formula [tex]d=rt[/tex] (r being the rate, in this case 8), the equation becomes [tex]d = 8t[/tex].
Hope this helped!
Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1 2 start fraction, 1, divided by, 2, end fraction and labeled it Polygon DDD. What is the area of Polygon DDD?
Answer:
Area of polygon D = 10 square units
Step-by-step explanation:
Given:
Polygon C has an area of 40 square units.
It is scaled with a scale factor of [tex]\frac{1}2[/tex] to form a new polygon D.
To find:
The area of polygon D = ?
Solution:
When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.
And the area becomes one-fourth of the original polygon.
Let us consider this by taking examples:
First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.Area of a right angled triangle is given by:
[tex]A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units[/tex]
If scaled with a factor [tex]\frac{1}{2}[/tex], the sides will be 3, 4 and 5.
New area, A':
[tex]A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A[/tex]
i.e. Area becomes one fourth.
Let us consider a rectangle now.Sides be 8 and 10 units.
Area of a rectangle, A = [tex]Length \times Width[/tex] = 8 [tex]\times[/tex] 10 = 80 sq units.
Now after scaling, the sides will be 4 and 5 units.
New Area, A' = 4 [tex]\times[/tex] 5 =20 sq units
So, [tex]\bold{A' = \frac{1}4 \times A}[/tex]
Now, we can apply the same in the given question.
[tex]\therefore[/tex] Area of polygon D = [tex]\bold{\frac{1}{4}}[/tex][tex]\times[/tex] Area of polygon C
Area of polygon D = [tex]\bold{\frac{1}{4}}[/tex][tex]\times[/tex] 40 = 10 sq units
Answer:
Step-by-step explanation:
10
Emma opens a savings account with $100. She saves $60 per month. The equation T(n) = 60n + 100 can be used to represent this problem, where T(n) is Emma's total savings in dollars and n, represents the number of months. Question 1 (2 points) Which term in the equation is fixed? What does the fixed term represent in the context of the problem?
Answer:
The fixed term is the y-intercept. In this case the y-intercept would be 100.
Step-by-step explanation:
This is because the 100 dollars cannot be changed. You can always change the amount you save per month and the amount of months you save.
2 + 2 Which of the following expressions can be used to find the area of a square with a side length of fraction 1 over 3 m?
Maths Problem. I can't quite explain it, could you help please? Thanks for every good answer. All shown on the picture :)
This is something you would do through trial and error. At least, that's the approach I took. I'm not sure if there is any algorithm to solve. The solution I got is shown in the attached image below. There are probably other solutions possible. The trick is to keep each number separate but not too far away so that the other numbers to be filled in later don't get too crowded to their neighbor.
Side note: any mirror copy of what I posted would work as well since you can flip the page around and it's effectively the same solution.
I'm marking answers as brainliest. When solving this system using elimination you should _______________. 6x - 9y = 21, 3x + y = 5 Multiply the second equation by 2. Solve the second equation for y. Set the equations equal to each other. Multiply the second equation by 9.
Answer:
Multiply the second equation by 9.
Step-by-step explanation:
To use the elimination method, you need to be able to add the equations and have one variable add to zero. That way you eliminate that variable.
The first equation has -9y. The second equation has y. If you multiply the second equation by 9, you will have 9y in the second equation. Then when you add equations, you will add -9y and 9y and will eliminate y.
Answer: Multiply the second equation by 9.
Answer:
Step-by-step explanation:
6x - 9y = 21
-6x -2y = -10
-11y = 11
y = -1
3x - 1 = 5
3x = 6
x = 2
(2, -1)
HELP!! ⚠️ In the diagram below, the two vertical segments are parallel. What is the total number of degrees in angles a, b, c, d?
Answer:
360°
Step-by-step explanation:
According to the properties of parallel lines, the following deductions can be made:
<a and <c are exterior angles of same side, therefore they are supplementary.
Thus,
m<a + m<c = 180°
<b and <d, are alternate interior angles, therefore, they are supplementary.
Thus, m<b + m<d = 180°.
The total numbers of degrees of a, b, c, d will all sum up to give 360°.
Miguel is calculating the slope of a line of best-fit in the scatterplot below.
Which pair of points would be best for Miguel to use?
P and W
Q and v
R and U
(hurry)
Answer:
The correct option is;
Q and v
Step-by-step explanation:
The line of best fit can be found by the dividing area method through the following steps;
1) The dots in the plot are divided into equal number of dots on both sides of a dotted line through S
2) By eye judgement, mark the center of the data dots on each side of the dotted line for example points Q and V
3) Draw a line through the graph passing through point Q and V to get the best fir line.
Answer:
Q V
Step-by-step explanation:
If wrong please tell me so I can fix my answer for you guys.
:)))
I need help!!! As fast as possible!!!!
Answer:
x = 44º
Step-by-step explanation:
∡P = 360 - 112*2 = 136º
∡A = x = 180 - 136º = 44º
Answer:
x=44 degrees
Step-by-step explanation:
first find angle P ( interior)
the sum of angle of circle=360
angle p=360-(112+112)= 136
angle P and x add up to 180
P+x=180
x=180-136=44 degrees
Where is the function decreasing?
Answer:
the function is decreasing at the domain values: (-∞,1)
Step-by-step explanation:
the function is decreasing in the domain values from -∞ until 1, the lowest point with no increase or decrease:
which in interval notation can be written as: (-∞,1)
I hope this helps, but if I didn't answer the question or answered wrongly I will try again.
The cost, in cents, to produce x cups of Mountain Thunder Lemonade at Junior's Lemonade Stand is C(x)=18x+240,x≥0 and the price-demand function, in cents per cup, is p(x)=90-3x,0≤x≤30. Find the maximum profit.
Answer:
$192
Step-by-step explanation:
The cost function is given as:
C(x)=18x+240
The price function is given as:
p(x)= 90 - 3x
The revenue R(x) is the product of the price and the number of products. It is given by:
R(x) = xp(x) = x(90 - 3x) = 90x - 3x²
The profit P(x) is the difference between the revenue and the cost of production. Therefore:
P(x) = R(x) - C(x) = 90x - 3x² - (18x + 240) = 90x - 3x² - 18x - 240
P(x) = -3x² + 72x - 240
The standard equation of a quadratic equation is ax² + bx + c. The function has a maximum value at x = -b/2a
Since P(x) = -3x² + 72x - 240, the maximum profit is at:
x = -72/2(-3) = 12
at x = 12, the profit is:
P(12) = -3(12)² + 72(12) - 240 = -432 + 864 - 240 = $192
A number is doubled, then decreased by 13.7. The result is greater than 125.28. What is the smallest integer that satisfies this condition?
Answer:
x > 69.49
Step-by-step explanation:
Step 1: Write out equation
2x - 13.7 > 125.28
Step 2: Add 13.7 to both sides
2x > 138.98
Step 3: Isolate x by dividing both sides by 2
x > 69.49
So x has to be greater than 70 in order to fit into the question context.
Answer:
70
Step-by-step explanation:
Let x be the desired integer. Then 2x-13.7>125.28. Adding 13.7 to both sides gives 2x>138.98, and dividing both sides by 2 gives x>69.49. The smallest integer that is greater than 69.49 is [tex]$\boxed{70}$[/tex].
Hope this helped! :)
what is a continent To eliminate the terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 9x + 3y = -18 Second equation: 8x + 7y = 10
Answer:
To eliminate solve for y, we need to eliminate x and we will do that by multiplying the first equation by 8 and multiply the second equation by 9.
y=6
Step-by-step explanation:
In the equations:
9x + 3y = -18 -----------------------------------------------------------------(1)
8x + 7y = 10 --------------------------------------------------------------------(2)
To solve for y, we will have to eliminate x
To eliminate x, we will follow the steps below;
multiply equation (1) through by 8 and multiply equation (2) through by 9
The resulting equations are
72x + 24y = -144 ----------------------------------------------------------(3)
72x + 63y = 90 -----------------------------------------------------------(4)
Then we will go ahead and subtract equation (4) from equation (3)
39y =234
divide both-side of the equation by 39
39y /39=234/39
y=6
the pairs of figures is similar.find x.round to the nearest tenth if necessary.from gradpoint plss help me if you have the diagram please solve for me
Answer:
4.1 feet
Step-by-step explanation:
Two shapes are said to be similar if they have the same shape and their sides are in the same proportion, i.e. the ratio of their sides are equal.
Given the two figures attached, the height of the first figure is 11 ft, while its width is 8 ft. For the second figure, its height is x feet and its length is 3 ft. Since the two figure are similar therefore the ratio of their sides are equal. Therefore:
[tex]\frac{x}{11} =\frac{3}{8}\\ \\x=\frac{3*11}{8}=4.125\\ \\x=4.1\ feet(to\ nearest\ tenth)[/tex]
Marj needs to round 345.67, and she wants the result to be as large as possible. She has to round to the nearest thousand, the nearest hundred, the nearest ten, the nearest integer, the nearest tenth, or the nearest hundredth. What is the largest possible rounded value she can attain?
Answer:
Nearest ten
Step-by-step explanation:
Here, we want to know the highest value that can be attained if this number is rounded up to the decimal places given in the question.
The best way to go about this is rounding this number to each of the decimal places and see the one that has the largest value.
We proceed as follows;
Nearest hundred = 300
Nearest ten = 350
Nearest integer = 346
Nearest tenth = 345.7
Nearest hundredth = 345.67
It can be seen from all the above values that the highest value we have is the nearest ten
Please answer this question now
Answer:
66 degrees
Step-by-step explanation:
WV is the radius and WX is a tangent, so angle W is 90 degrees. So, 90+24=114 and 180-114 is 66.
Hope this is helpful! :)
Linda throws a dart that hits the square shown below: What is the probability that the dart hits a point in the circle?
18%
21.5%
78.5%
81%
Answer:
78.5
Step-by-step explanation:
Find the perimeter of parallelogram AFCB.
A. 14
B. 12
C. 28
D. 24
Answer:
C.28
Step-by-step explanation:
It gives you 2 sides.
One of them is 8.
The other one is 12 but the 12 is divided by 2 which is 6.
Since it is a parallelogram there is the same measurements on the opposite sides.
So finally you get 6+6+8+8= 28
The perimeter of parallelogram AFCB is C. 28
How do you calculate a perimeter?
With the purpose to discover the perimeter or distance around the rectangle, we want to add up all four side lengths. this can be performed efficiently by using truly including the duration and the width, after which multiplying this sum by means of when you consider that there are of every facet length.
What is perimeter for instance?The Perimeter is the gap around the item. for instance, your own home has a fenced backyard. the perimeter is the length of the fence. If the yard is 50 toes × 50 feet your fence is 2 hundred feet long.
Learn more about Perimeter here https://brainly.com/question/397857
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A farmer has a rectangular piece of land measuring 840 meters by 396 meters. He divides it into equal square plots of equal size. What is the maximum area of one square plot?.......PLLLZZZ HELP
Answer:
The maximum area of one square plot is 144 [tex]m^2[/tex]
Step-by-step explanation:
Start by looking at what are the greater common factor of both provided dimensions (840 and 396) to find what the numbers are they both can be divided by evenly:
[tex]840=2^3\,*\,3\,*\.5\,*\,7\\396=2^2\,*\,3^2\,*\,11[/tex]
therefore, both numbers can be divided by [tex]2^2\,*\,3=12[/tex]
Which then gives:
[tex]\frac{840}{12} =70\\\frac{396}{12} =33[/tex]
Then, one can divide the longest side (840 m) into 70 sections of 12 meters each, and the shortest side of the piece of land (396 m) into 33 sections of 12 meters each.
Then we can have a total of 33 * 70 = 2310 smaller lots of 12 m by 12 m
That is smaller plots of a total area 144 square meters
Identify the x-intercepts of the function graphed below.
Answer:
-2 and 3 along the horizontal line
Step-by-step explanation:
There are two axes, plural for axis; the two main lines. The one that runs vertically is the y axis and the one that runs horizontally is the x axis. Now when you see the parabola which is the curve, it meets at three points. The points are -2 , 6, and 3. the ones we are focusing on are the -2 and 3 since they are the numbers/points on the x axis
Identify the continuous data.
A. the time you take your dog for a walk each day
B. the temperature of the water in the local river during the day
C. how long it takes to run a lap around the track
D. the number of croutons in your daily salad
Answer:
A. The time you take your dog for a walk each day
B. The temperature of the water in the local river during the day
C. How long it takes to run a lap around the track
Step-by-step explanation:
Continuous data is quantitative data that you can measure. It can have an infinite number of possible values within a given range.
For example, you can measure times and temperatures to any number of decimal places if you have the appropriate equipment.
D is wrong. You can't measure the number of croutons in a salad. You must count them.
Help me please!!!!!!!!!!
Answer:
Option (4)
Step-by-step explanation:
In the picture attached,
m∠NLM = m∠LKN = 90°
In two similar triangles ΔLKN and ΔMKL,
By the property of similar triangles,
"Ratio of the corresponding sides of the similar triangles are proportional".
[tex]\frac{\text{LK}}{\text{KN}}=\frac{\text{KM}}{\text{LK}}[/tex]
By substituting the values given,
[tex]\frac{h}{3}=\frac{2}{h}[/tex]
[tex]\frac{2}{h}=\frac{h}{3}[/tex]
Therefore, Option (4) will be the answer.
For a hypothesis test of H0: p = 0.40 against the alternative Ha: p > 0.40, the z test statistic is found to be 2.25. What can be said about this finding?
a. The finding is significant at both α = 0.05 and α = 0.01.
b. The finding is significant at α = 0.05 but not at α = 0.01.
c. The finding is significant at α = 0.01 but not at α = 0.05.
d. The finding is not significant at α = 0.05 and α = 0.01.
e. The finding is inconclusive because we don't know the value of p-hat.
Answer:
B
Step-by-step explanation:
The first thing we need to do here is to find the probability value that corresponds to z-score of 2.25
While this is traceable using the normal distribution table, we can easily find it using the Normal distribution function in excel
By using this, we get the probability P value of the z score 2.25 to be 0.012224
Now, before we can accept or reject H0, we need to compare the value of P to the significance level alpha
If P ≤ alpha, we reject the null hypothesis H0
At alpha = 0.05, p value is lesser , we reject the null hypothesis.
At alpha P 0.01, p value is greater so we accept null hypothesis
This shows that the finding is significant at alpha = 0.05 (since we rejected null hypothesis) but not at alpha = 0.01(since we accepted null hypothesis)
the The finding should be option b. The finding is significant at α = 0.05 but not at α = 0.01.
Calculation of the probability value:Since the z test statistic is found to be 2.25.
Now the P value of the z score 2.25 to be 0.012224
In the case when P ≤ alpha, we reject the null hypothesis H0
Now
At alpha = 0.05, the p-value is lesser, we reject the null hypothesis.
At alpha P 0.01, p value is more so we accept null hypothesis
Therefore, the option b is correct.
Learn more about hypothesis here: https://brainly.com/question/18831983
The slope of the function ƒ (x) = 8 - 2x is _____. 2 - 2 8 -8
Answer:
-2
Step-by-step explanation:
your equation is
f(x) = -2x+8
-2x
-2 is the slope
Answer:
The slope is -2
Step-by-step explanation:
Rewriting f(s) as y
y = -2x+8
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -2x+8
The slope is -2
Which situation can be represented by 80x > 150 + 50x?
Answer:
All numbers greater than 5, i.e., [tex]x>5[/tex] .
Step-by-step explanation:
The given inequality is
[tex]80x>150+50x[/tex]
Isolate variable terms on one side to find the solution.
Subtract 50x from both sides.
[tex]80x-50x>150+50x-50x[/tex]
[tex]30x>150[/tex]
Divide both sides by 30.
[tex]\dfrac{30x}{30}>\dfrac{150}{30}[/tex]
[tex]x>5[/tex]
It means, all the numbers which are greater than 5, are the solutions of the given inequality and 5 is not included in the solution set.
An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 15,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. A right triangle B N O is shown with angle B marked 55 degrees, side B N marked x and side B O marked 15000 feet.
Answer:
x = 18311.61 m
Step-by-step explanation:
It is given that, An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. The distance from the observer (O) to the bird (B) is 15,000 ft. We need to find the distance between the bird and the nest. It is based on trigonometry. So,
[tex]\sin (35)=\dfrac{\text{opposite}}{\text{hypotenuse}}[/tex]
Let x is the distance between the bird and the nest
So,
[tex]\sin (55)=\dfrac{15000}{x}\\\\x=\dfrac{15000}{ \sin(55)} \\\\x=18311.61\ m[/tex]
So, the distance between the bird and the nest is 18311.61 m.
Answer:
8,604
Step-by-step explanation: