Find the volume of a pyramid with a height of 3 inches and square base with side lengths of 4 inches

Answer:

The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Step-by-step explanation:

Answer:

1048

Step-by-step explanation:

53(20)- 12

1060 - 12

1048

hope this helps

Answer: a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The appropriate test is a t-test for slope. The test statistic is t = 2.68 and the p-value is 0.005. Because the p-value, 0.005, is less than α=0.05 we have convincing evidence that there is a positive linear relationship between the amount of water received and how tall the sunflower plants grew.

Answer:

slope = 0  

Step-by-step explanation:

To find the slope of a line that passes between a pair of points, use the slope formula, \(m = \frac{y_2-y_1}{x_2-x_1}\). Substitute the x and y values of the points (3,2) and (-1,2) into the formula and simplify:

\(m = \frac{(2)-(2)}{(-1)-(3)} \\m = \frac{2-2}{1-3} \\m = \frac{0}{-2} \\m=0\)

So, the slope is 0.

The t-value such that the area under the t distribution to the right of the t-value is 0.10, assuming 15 degrees of freedom (df) is 1.753050356.

We have to determine the t-value.

The area in the right tail is 0.10 with 32 degrees of freedom(df).

The t-test is a test that is used as an alternative to the z-test in statistics. If the data are normally distributed but the sample size is small and the population standard deviation is unknown, the t-test is utilized.

A value that appears on the t distribution is the critical t value. The area under the curve and the degrees of freedom can be used to determine the t statistic value.

Using Excel Formula,

The t-value = (=TINV(0.1,15))  

The t-value = 1.753050356

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a. The function m = 200 - 50v is interpreted as

m = amount left

200 = amount available for buying video games

50 = cost per video game

v = number of video games

b. The domain of the function is 0 < v ≤ 4

the domain is discrete

c. explanation of the graph is below

In the graph, the input values is the number of video games, v while the output value is amount, m(in dollars) left for buying games.

The domain is controlled by the input values. considering the amount set out for games which is 200 we solve for v at zero amount

0 = 200 - 50v

50v = 500

v = 4

The maximum number of video games the amount can buy is 4. For the minimum we can not buy 0 video game but the graph can show amount available before buying the game.

The domain starts from 0, with 0 not inclusive to 4 with 4 included

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Answer:

There Is A 90% Chance That The Population Mean Is Between 70.9 And 73.1 Beats Per Minute. There Is A 90% Chance That The Population Mean Is Between 62 And 82 Beats Per Minute. There Is A 10% Chance That The Population Mean Is Less Than 72 Beats Per Minute

Hope it helps

The Fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.

The container is made up of two substances: water and oil. We know that the container has 1/4 water and 1/3 oil. This means that the remaining space in the container is made up of neither water nor oil, i.e., empty space.

To find the fraction of empty space, we need to add the fractions of water and oil together and subtract them from 1. This is because the sum of the fractions of water, oil, and empty space must equal 1, which represents the total volume of the container.

The fraction of water in the container is 1/4, and the fraction of oil is 1/3. Therefore, the fraction of the container that is not empty is:

1/4 + 1/3 = 3/12 + 4/12 = 7/12

To find the fraction of empty space, we subtract this fraction from 1:1 - 7/12 = 5/12

Therefore, the fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.

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Answer:

180 minutes

Step-by-step explanation:

Because this is a Proportional Relationship, you can set up a proportion to solve for the unknown value. Change the 4.5 hours to minutes first.

\(\frac{2}{t}=\frac{3}{270}\)  ⇒  2×270 = 3t  ⇒  3t = 540  ⇒  t = 180

Probability = # of desired options / # of total options

Our desired option is blue and there are 9 blue marbles in the bag.

There are 32 total marbles (options) in the bag.

P(blue) = 9 / 32 = 0.28125 = 28.125%

Hope this helps!

Answer:

Hello! Thank you a lot! My nice thing would have to be keep going even when things get hard. We all have something unique about us and were all on a journey to figure out what that is. Don't let anyone take away what makes you unique.

Step-by-step explanation:

The area of the triangle is 96.1

STEP- BY - STEP EXPLANATION

What to find?

Area of the triangle ABC.

Given:

a = 13, b = 17, c = 26

To find the area of triangle ABC, follow the steps below:

Step 1

Since, the height of the triangle is not given, we will need to use Heron's formula.

Recall the Heron's formula below;

Where P is half of the perimeter of the triangle.

a, b and c are the sides of the triangle.

Step 2

Find the value of P.

From the definition of p,

Step 3

Substitute the values into the Heron's formula.

Step 4

Simplify the resultant in step 3.

Therefore, the area of the traingle is 96.1

Answer: No

15.09 is greater than 12.63

(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment

Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.

The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:

D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63

Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)

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Answer: It’s -1,-3

Step-by-step explanation:

got 100 on the test

The maximum area is 12.25 square feet

From the question, we have the following parameters that can be used in our computation:

Perimeter = 14 feet

This means that

P = 2(l + w)

So, we have

2(l + w) = 14

Divide by 2

l + w = 7

Make l the subject

l = 7 - w

The area is calculated as

A = lw

So, we have

A = (7 - w)w

Expand

A = 7w - w²

Differentiate and set to 0

7 - 2w = 0

So, we have

w = 3.5

Substitute w = 3.5 in A = (7 - w)w

A = (7 - 3.5) * 3.5

Evaluate

A = 12.25

Hence, the area is 12.25 square feet

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Complete question

There is 14 feet of fencing available to enclose a rectangular region. For what value of area is the area maximum

The element of A n B is { 7, 8}

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind.

For example, if the element of P is even numbers from 1 to 20 and element of Q is factor of 6 from 1 to 20 then we can say that set Q is a subset of set P.

The sign 'n' means intersection and this means what is common to two or more set.

If set A = { 1,2,5,7,8}

set B = { 6,7,8,9}

then we can see that 7 and 8 are common to both sides, then

A n B = { 7,8}

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Answer:

A is the answer

Step-by-step explanation:

if its wrong than its C

Answer:

But the 2lbs.

Step-by-step explanation:

Divide $9.19 by 2 and you get 4.595 which would be the cheapest option out of the 3 because the 1lb is $7.05 and the 3lb is $5.13.

You're welcome.

The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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the answer is 4/5 this is know to be hard

The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960

We are told that  two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity

The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.

Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;

x + y ≤ 9

x ≥ 2

y ≥ 3

Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;

20x + 50y ≤ 360

Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;

Z = 80x + 120y  maximize

The solution from the graph attached is;

x = 3, y = 6

Thus, the maximum profit is;

Z = 80(3) + 120(6)

Z = 960

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Answer:

67.49

Step-by-step explanation:

Let the number of HCF be x.

Let the cost be y.

You are given 2 points of a line: (15, 32.84) and (43, 79.04).

Now we find the equation of the line that passes through those points.

y - y1 = m(x - x1)

y - 32.84 = [(79.04 - 32.84)/(43 - 15)](x - 15)

y - 32.84 = (46.2/28)(x - 15)

y - 32.84 = 1.65(x - 15)

y = 1.65x - 24.75 + 32.84

y = 1.65x + 8.09

Now we let x = 36 and solve for y.

y = 1.65(36) + 8.09

y = 67.49

Answer:

Step-by-step explanation:

75             42

vanilla    choco

\(\left[\begin{array}{ccc}Answr:\\=&=&=\\1&6&.\end{array}\right]\)

Step-by-step explanation & Answer

In order to find chau’s height we would only need to subtract:

40 - 24 = ?

? = 16

But it determines what you are putting it in as well.

You can put it in, feet, meters, or inches.

So I do not know but looking at the question it seems like I do not need to know. ( Saying thing because you might actually have the measurements but I do not know / I cannot see. )

Thus the answer to your problem is, 16

Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

The required expression is (x / 5) + 9

Given that we have to build an equation for the statement "9 more than the quotient of x and 5,

So,

This expression represents the quotient of x divided by 5, and then adding 9 to the result.

Therefore,

"9 more than the quotient of x and 5" can be written mathematically as:

(x / 5) + 9

Hence the required expression is (x / 5) + 9

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Answer:

H(t) = 43in + (2in/year)*t.

Step-by-step explanation:

im right

2)

Given:

The diameter of larger circle, D=8.

Hence, in the given figure, the diameter of the smaller semicircle, D=8.

The diameter of smaller circle, d=4.

Hence, the diameter of the two smaller semicirlces, d=4.

The radius of the smaller semicircle is,

Now, the area of the smaller semicircle can be calculated as,

The radius of the larger semicircle is half its diameter. So, the radius of the larger semicircle is R=4.

Now, the area of the large semicircle is,

The two smaller semicircles are darkly shaded.

Hence, the area of the lightly shaded region can be found as,

Therefore, the area of the lightly shaded region is 4π square units or 12.56 square units.

3)

Given:

The central angle is, θ=73 °.

From part (2), the radius of larger circle, R=4.

The area of the sector with radius R=4 and central angle, θ=73° is,

From part 2, the radius of the smaller circle is, r=2.

The area of the sector with radius r=2 and central angle, θ=73° is,

Now, the area of the lightly shaded region is,

Therefore, the area of the lightly shaded region is 7.65 square units.

If she uses  a previous estimate of 0.58, n = 733

If she does not use any prior estimates, n = 752

Here, E is given as 0.03

For 90% confidence level, Z* = 1.645

Using formula for margin of error we have

0.03 = 1.645 x (√0.58(1 - 0.58) / n)

n = 733

without prior estimates the value of p = 0.5

Then we have

0.03 = 1.645 x (√0.5(1 - 0.5) / n)

n = 752

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