You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the amount a family has spent on food during a year has been approximately $1000. If you want to be 99% sure that you have estimated average family food expenditures within (error) $50, how many families do you need to survey? Round your answer to a whole number

Answer:

29.00

Step-by-step explanation:

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

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

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Mrs. Barton should use 2 cups of peanut butter in her huge batch with 1 cup of oil.

What is fraction?

Fractions are a way of representing part of a whole. They are written as two numbers separated by a slash. The top number is called the numerator, and the bottom number is called the denominator. For example, in the fraction 1/2, 1 is the numerator and 2 is the denominator. This fraction represents one part of a total of two parts.

Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil.

From the above question:

1/2 cup of oil = 1 cup of peanut butter

1 cup of oil = x

Cross Multiply

1/2x = 1 × 1

x = 1 ÷ 1/2

x = 1 × 2/1

x = 2 cups of peanut butter.

Therefore, for huge batch with 1 cup of oil, she should use 2 cups of peanut butter.

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Answer:

Step-by-step explanation:

First, you divide 20 by 30

and whatever you get is your awnser.

I got .66, which is 66%

\(\\ \sf\longmapsto a_1=3(1)-9=3-9=-6\)

And

\(\\ \sf\longmapsto a_5=3(5)-9=15-9=6\)

Answer:

\( \sqrt{2} + 3\)

Step-by-step explanation:

SIMPLIFY the radical expression...

SO IT'S

\( \frac{4}{2 \sqrt{2} } + 3\)

Reduce the fraction with 2

Now it's

\( \frac{2}{ \sqrt{2} } + 3\)

Rationalize the denominator...

SO IT WILL BE

\( \sqrt{2} + 3\)

EASY EXPLANATION...

GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...

Sᴋ᭄Sᴀᴍɪʀᴮᴼˢˢ

Answer:

its 9

Step-by-step explanation:

Answer:

A would be correct

Step-by-step explanation:

the answer is A.

Answer:

4kg=4m/s

8kg=?

3m/s

Step-by-step explanation:

12kgm/s/4kg

Answer:

C). 8/9n - 1 1/3

Step-by-step explanation:

Answer:

\(\frac{8}{9} n - 1\frac{1}{3}\)

Step-by-step explanation:

Using the distributive property \(\frac{4}{9}\) times 2 equals \(\frac{8}{9}\) and \(\frac{4}{9}\) times 3 equals \(\frac{4}{3}\) which simplifies to \(1\frac{1}{3}\)

Answer:

\(x = \frac{1}{28} y^{2}\)

Step-by-step explanation:

parabola equation with vertex (0 , 0) and focus length |f| = 7

4*f*(x - h) = (y - k)²

4*7*(x-0)=(y-0)²

28x = y²

\(x = \frac{1}{28} y^{2}\)

Answer:

The width is 64.3 inches

Step-by-step explanation:

Given

\(d = 90\) --- diagonal

\(h = 63\) --- height

Required

Determine the width (w) of the TV

To do this, we make use of Pythagoras theorem which is illustrated as:

\(d^2 = h^2 + w^2\)

So, we have:

\(90^2 = 63^2 + w^2\)

Evaluate all squares

\(8100 = 3969 + w^2\)

Collect like terms

\(w^2 = 8100 - 3969\)

\(w^2 = 4131\)

Take positive square roots of both sides

\(w = \sqrt{4131\)

\(w = 64.3\) -- approximated

The range of the function, y = 16x, is 60, where y is 960.

The range of the function, y = 16x, are the possible values that x can assume to meet the value of y.

Usually, the range of a function is the output value.

Since the value of y = 960, the range of the function will be 60 (960/16).

The capacity of the dispenser = 960 ounces

The capacity of the juice containers = 16 ounces

The function that models the situation is y = 16x

Where y = 960

x = 60 (960/16)

Thus, the implication is that the range of the function or the number of 16-ounce containers that can fill the dispenser with a capacity of 960 ounces is 60.

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Each coordinate was multiplied by 2 instead of divided by 2

the correct coordinates are

preimage                                image

A (2, 5)   → (2 * 1/2, 5 * 1/2) →   A' (1, 2.5)

B (2, 0)  → (2 * 1/2, 0 * 1/2) →    B' (1, 0)  

C (4, 0)  → (4 * 1/2, 0 * 1/2) →    C' (2, 0)

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

following similar procedure for the given problem we solve with scale factor of 1/2

preimage                                 image

A (2, 5)   → (2 * 1/2, 5 * 1/2) →   A' (1, 2.5)

B (2, 0)  → (2 * 1/2, 0 * 1/2) →    B' (1, 0)  

C (4, 0)  → (4 * 1/2, 0 * 1/2) →    C' (2, 0)

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Answer:

x=4y+24/5

Step-by-step explanation:

add 4y

Divide by 5

The area of the smaller rectangle (KLMN) is 16.

Since rectangles ABCD and KLMN are similar, their corresponding sides are proportional.

Let's assume the length of side AB in rectangle ABCD is x, and the length of side KL in rectangle KLMN is y.

We can set up the proportion:

(x/y) = (20/16)

To find the area of the smaller rectangle, we need to determine the ratio of their areas.

Since the area of a rectangle is given by the product of its length and width, the ratio of the areas will be equal to the square of the ratio of their sides:

(Area of ABCD)/(Area of KLMN) = (x²)/(y²)

We are given that the area of ABCD is 25, so we have:

25/(Area of KLMN) = (x²)/(y²)

To find the area of KLMN, we need to substitute the values of x and y from the proportion:

25/(Area of KLMN) = (20/16)²

Simplifying the right side:

25/(Area of KLMN) = (5/4)²

25/(Area of KLMN) = 25/16

Cross-multiplying:

25 × 16 = 25 × (Area of KLMN)

400 = 25 × (Area of KLMN)

Dividing both sides by 25:

16 = Area of KLMN

Therefore, the area of the smaller rectangle (KLMN) is 16.

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Answer:

Step-by-step explanation:

Answer:

upper diagram

12

Step-by-step explanation:

Diagram:

The upper diagram shows 4 penalty kicks made and 1 missed.

That is a ratio of 4 to 1 of penalty kicks made to penalty kicks missed.

Answer: upper diagram

Number of penalty goals made and missed:

We can guess the numbers until the numbers work.

For each number of missed kicks we guess, we guess 4 times as many kicks he made.

For example, we guess 1 missed kick and 4 kicks he made.

First guess:

Maybe he made 4 and missed 1.

4 - 1 = 3, not 9, so this is not the answer.

Second guess:

Maybe he made 8 and missed 2.

8 - 2 = 6, not 9, so this is not the answer.

Third guess:

Maybe he made 12 and missed 3.

12 - 3 = 9, which is what we need, so this is the answer.

He made 12 and missed 3

Answer: 12

The calculated value of x at g(x) = 2 is x = 2.5

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

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

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Answer:

y = 12x - 45

Step-by-step explanation:

y = 12(x + 4)

y = 12x + 4      Slope = 12.  Two lines are parallel if their slopes are the same.

Use the slope and the given point (4,3) and substitute into the slope-intercept form and solve for b

y = mx + b

3 = 12(4) + b

3 = 48 + b

-45 = b

y = 12x - 45

Answer:

Step-by-step explanation:

        y = 12(x+4)

can be re written as

(y - 0) = 12(x + 4)

Which now is in the slope-point form where slope is 12 and the point is (-4, 0)

To get an equation for a parallel line through a different point. Just change the point to (4, 3)

(y - 3) = 12(x - 4)

This equation can be converted to the slope intercept form by expanding and combining terms

y - 3 = 12x - 48

y = 12x - 45

The long leg and the hypotenuse of the isosceles right triangle will be 7.07 units.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The short leg of a 90-45-45 triangle is 5.

The right triangle is an isosceles right triangle. Then the two side will be same.

Then the long leg and the hypotenuse will be

H² = 5² + 5²

H² = 25 + 25

H² = 50

H = 7.07 units

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The value of z is 8633/137 or 63.01, approximately.

\(\frac{x}{y} =\frac{z}{100}\)

\(\frac{x}{y}*100 =\frac{z}{100}*100\\ \\100\frac{x}{y} =z\\ \\z=100\frac{x}{y}\)

\(z=100\frac{(86.33)}{(137)}\\ \\z=\frac{8633}{137}=63.01\)

If the calculated value of "z" is correct, then the original equation should return the same value on both sides of the equal symbol (=) when substiting all the variables by their respective value.

\(\frac{86.33}{137} =\frac{\frac{8633}{137}}{100}\\ \\0.63=0.63\)

That's correct!

Hence, the value of z is 8633/137 or 63.01.

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Answer:

Uhhhhhh

Step-by-step explanation:

ABUNDA LA CACA BDHDHENSNGAGVD

Answer:

hard

Step-by-step explanation:

Answer: Exact form: 107/12

              Decimal form: 8.916

              Mixed form: 8 11/12

Step-by-step explanation:

Step-by-step explanation:

=81 +3

6. 4

= 81×4+3×6

24

= 324+18

24

= 342

24

= 14.25 ans

Answer:

See below ~

Step-by-step explanation:

Question 1

⇒ The given angles are supplementary (add up to 180°)

⇒ 6x + 6 + 8x - 22 = 180

⇒ 14x - 16 = 180

⇒ 14x = 196

⇒ x = 14

============================================================

Question 2

⇒ The given angles are complementary (Add up to 90°)

⇒ 3x + 5 + 40 = 90

⇒ 3x + 45 = 90

⇒ 3x = 45

⇒ x = 15

Answer:

1/3

Step-by-step explanation:

Using linear programing and graphical method, the solutions are (0, 4), (3, 0) and (6, 4)

To solve the system of inequalities using linear programming, we need to graph the feasible region and find the optimal solution.

First, we will graph the boundary lines of the inequalities. To do this, we will find the x and y intercepts of each line and plot the points. Then we will draw the lines that connect the points.

For the first inequality, 6x - 4y ≤ 18, we can find the x intercept by setting y = 0:

6x - 4(0) = 18

6x = 18

x = 3

For the y intercept, we set x = 0:

6(0) - 4y = 18

-4y = 18

y = -4.5

So the x and y intercepts are (3, 0) and (0, -4.5), respectively.

For the second inequality, -2x + 7y ≤ 28, we can find the x intercept by setting y = 0:

-2x + 7(0) = 28

-2x = 28

x = -14

For the y intercept, we set x = 0:

-2(0) + 7y = 28

7y = 28

y = 4

So the x and y intercepts are (-14, 0) and (0, 4), respectively.

Next, we need to shade the feasible region that satisfies all the inequalities. The feasible region is the region that is below the first line (6x - 4y = 18) and to the left of the second line (-2x + 7y = 28), and in the first quadrant where x and y are both non-negative.

The optimal solution is the point within the feasible region that maximizes the objective function. Since we don't have an objective function to maximize or minimize, we can simply find the corner points of the feasible region and evaluate them to see which one satisfies the original inequalities. The corner points of the feasible region are the intersection points of the boundary lines. In this case, the corner points are (0, 4), (3, 0), and (6, 4).

Evaluating each corner point in the original inequalities, we get:

1. (0, 4):

6(0) - 4(4) = -16 ≤ 18 (satisfies the first inequality)

-2(0) + 7(4) = 28 ≤ 28 (satisfies the second inequality)

2. (3, 0):

6(3) - 4(0) = 18 ≤ 18 (satisfies the first inequality)

-2(3) + 7(0) = -6 ≤ 28 (satisfies the second inequality)

3. (6, 4):

6(6) - 4(4) = 20

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Using system of linear equation, the store sold 240 chemistry books and 189 biology books

A system of equations is a set or collection of equations that you deal with all together at once. The general representation of linear equations are given as y = mx + c

Let set our variables as;

x + y = 429 ...eq(i)

x = 51 + y ...eq(ii)

Put eq(ii) into (i)

(51 + y) + y = 429

51 + 2y = 429

2y = 429

y = 189

x = 51 + 189

x = 240

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Answer:

Take a look at the attachment...

Hope this helps! :)