One-fourth of a number is 22. Find the number.

The 28th percentile for the number of chocolate chips in the bag is 1192.206.

To determine the 28th percentile for the number of chocolate chips in the bag, we find the z-score for the 28th percentile.

Found using a z-table or z-calculator, the z-score for the 28th percentile is -0.583

The formula for finding X (the number of items in a given percentile) is:

X = M + Z(S.D.)

Where M is the mean, Z is the specific z-score of the sought percentile and S.D. is the standard deviation.

So for the 28th percentile,

X = 1261 + (-0.583)(118)

X = 1261 - 68.79 = 1192.206

Hence the 28th percentile is 1192.206

the number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1261 chips and a standard deviation of 118 chips. determine the 28th percentile

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Step-by-step explanation:

(5x⁵-5x³+5x)-(3x-3x³-3x⁵)

5x⁵-5x³+5x-3x+3x³+3x5

8x⁵-2x³+2x

2x(4x⁴-x²+1).

this is your answer.

Step-by-step explanation:

^ means power

hope it helps

The x-intercept is the x value at which the graph intercects the x-axis. This happens when y = 0, so, to find it without graphing, we just need to input y = 0 and solve for x:

So, the x-intercept is at x = 0.75 and y = 0, that is, at point:

The y-intercept is similar but is the y value at which the graph intercepts the y-axis, that is, when x = 0.

So, we can input x = 0 and solve for y:

Thus, the y-intercept is at x = 0 and y = -1.5, that is, at point:

Answer:a

Step-by-step explanation:yes

Answer: 2nd option

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of a trapezoid is the height times the average of its parallel bases.

A=h(b1+b2)/2, in this case

A=14(4.6+8.7)/2

A=7(4.6+8.7)

A=7(13.3)

A=93.1 km^2

To find the inverse of a function, switch the x's and y's, then solve for y again.

y = 2/3x - 17

SWITCH

x = 2/3y - 17

2/3y = x + 17

y = 3(x + 17) / 2

y = x - 10

SWITCH

x = y - 10

y = x + 10

y = cuberoot(2x)

SWITCH

x = cuberoot(2y)

x^3 = 2y

y = x^3 / 2

y = x/5

SWITCH

x = y/5

y = 5x

Hope this helps!

The synthetic division is expressed as 9x³ - 24x² + 49x - 100/x + 2

To carry out synthetic division, we take the following steps;

From the information given, we have;

9x³ - 6x² + x - 2/x + 2

Then, we have the set up as;

         9      -6       1   - 2

-2               -18     48   -98

          9      -24   49   -100

9x³ - 24x² + 49x - 100/x + 2

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\( \large \bf \implies{32 {m}^{15} {n}^{10} }\)

\(\bf \longrightarrow{(2m^{3}n^{2})^{5} } \\ \\ \bf \longrightarrow {2}^{5} \times ( {m}^{3})^{5} \times ( {n}^{2})^{5} \\ \\ \bf \longrightarrow32( {m}^{3})^{5}( {n}^{2})^{5} \\ \\ \bf \longrightarrow32 {m}^{15} {n}^{10} \)

Note : We have used the two exponent rules:

\((1) \: \: \large \bf \boxed{ \bf \green{(ab)^{n} = {a}^{n} \times {b}^{n} }}\)

\((2) \: \: \large \bf \boxed{ \bf \green{(a^{n})^{m} = {a}^{nm} }}\)

Answer:

Step-by-step explanation:

AO = CO = radius

AO = CO  ⇒  AB = BC  and  m∠AOB = m∠BOC = ¹/₂m∠AOC

From BDOE:

m∠EOB + m∠OBC + m∠CDE + m∠DEO = 360°

(65° + 75°) + 90° + x + 90° = 360°

140° + 180° + x = 360°

x = 40°

We are asked to determine the p-values for a proportion that is greater than 0.51. Since we are asked about the hypothesis being greater then the p-value is given by:

This is a right-tailed test. To determine this probability we need to use the fact that:

replacing we get:

Now, from the tables for z-scores in the normal distribution we get:

Therefore, the p-value is 0.0011

Answer:

2

Step-by-step explanation:

i say 2 because you need a controlled variable and then the one subject to change (sorry if not)

The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

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False. In a simple regression analysis, the response variable y does not necessarily have to be the business outcome that we wish to understand better.

In regression analysis, the response variable (dependent variable) represents the outcome or variable of interest that we want to explain or predict. It is the variable that we seek to model or understand based on the values of one or more predictor variables (independent variables).

While the response variable in a regression analysis can indeed be a business outcome, such as sales revenue or customer satisfaction, it can also be any other measurable variable that we want to study or analyze, such as temperature, time, or test scores. The choice of the response variable depends on the research question and objectives of the analysis.

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After solving the integral the arc length is ∫[1,8e] √(5x² + 2) / (2x) dx.

A function is an association between inputs in which each input has a unique link to one or more outputs.

To calculate the arc length of the curve defined by y = (1/4)x² - (1/2)ln(x) over the interval [1, 8e], we can use the formula for arc length:

L = ∫[a,b] √(1 + (f'(x))²) dx,

where f'(x) represents the derivative of the function f(x) with respect to x.

First, let's find the derivative of y = (1/4)x² - (1/2)ln(x):

y' = (1/4)(2x) - (1/2)(1/x)

  = (1/2)x - (1/2x)

  = (x² - 1) / (2x).

Next, we can calculate the square root of the derivative squared plus 1:

√(1 + (f'(x))²)

= √(1 + [(x² - 1) / (2x)]²)

= √(1 + (x⁴ - 2x² + 1) / (4x²))

= √((5x⁴ - 2x² + 4x²) / (4x²))

= √((5x⁴ + 2x²) / (4x²))

= √(5x² + 2) / (2x).

Now, we can set up the integral to calculate the arc length:

L = ∫[a,b] √(1 + (f'(x))²) dx

 = ∫[1,8e] √(5x² + 2) / (2x) dx.

Therefore, after solving the integral the arc length is ∫[1,8e] √(5x² + 2) / (2x) dx.

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Answer:

More than 1 (2.5 is the answer)

Step-by-step explanation:

more than 1.

Step-by-step explanation:

5/8 ÷ 2/8 is 40/16. when simplified, you get 5/2. change it to decimals and you get your answer

Answer:

65.45 feet

Step-by-step explanation:

According to the Question,

Given, Abby went camping with her family. She left her campsite to look for firewood. She walked 54 feet east and then walked 37 feet north .

(Please find Diagram in Attachment)

So, By Phythagoras Theorem,

AC² = BC² + AB²

X² = 37² + 54²

X² = 4285 ⇔ √4285 ⇒ 65.45 feet

Answer:

70 miles per hour

Step-by-step explanation:

The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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Answer:

1 sample

Step-by-step explanation:

There is only one sample given for 20%

Answer:

the answer would be

b) 1 sample

Answer:

0.707

Step-by-step explanation:

Answer: 27 cubic units

Step-by-step explanation:

3 * 3 * 3 = 27 cubic units

Answer:

a. The start-up cost for the teenagers company is $50

b. The number of mugs the teenager must sell to break even are 5 mugs or 25 mugs

c. The number of mugs that will give maximum profit is 15 mugs

d. The profit if she sells 10 mugs is $30

Step-by-step explanation:

The given profit function for selling x number of mugs is presented as follows;

f(x) = -0.4·x² + 12·x - 50

a. The start-up cost in dollars is given by the value of the profit function at the start, where, x = 0, as follows;

Start-up cost = f(0) = -0.4×0² + 12×0 - 50 = -50

The negative sign represents amount put in the business

The start-up cost = (The initial) $50 put into the business.

b. The break even point is the point where, the revenue and costs are equal

At break even point; Revenue = Cost

∴ Profit, at break even point, f(x) = Revenue - Cost = 0

From the profit function, we get;

At the break even point, f(x) = 0 = -0.4·x² + 12·x - 50

Dividing by -0.4 gives;

0/(-0.4) = 0 = (-0.4·x² + 12·x - 50)/(-0.4) = x² - 30 + 125

0 = x² - 30 + 125

∴ (x - 25)·(x - 5) = 0

The number of mugs the teenager must sell before she breaks even, x = 5 mugs or x = 25 mugs.

c. From the general form of a quadratic equation,  which is; y = a··x² + b·x + c, the formula for the x-values at the maximum point is; x = -b/(2·a)

Comparing the profit function to the general form of the quadratic equation we have at the maximum point;

x = -12/(2×(-0.4)) = 15

Therefore, the number of mugs that will give maximum profit, x = 15 mugs.

d. The profit from selling 10 mugs, f(10) is given as follows;

f(10) = -0.4 × 10² + 12 × 10 - 50 = 30

The profit from selling 10 mugs, f(10) = $30

Alex has $15.78 and Rick has $12.15 money.

According to the question,

We have the following information:

Alex had $3.63 more than Rick. Together they had $27.93.

Let's take the money Rick has to be $x.

Now, we have the following expression for the money Alex has:

3.63+x

Now, we have:

x+3.63+x = 27.93

2x+3.63 = 27.93

Subtracting 3.63 from both the sides:

2x = 27.93-3.63

2x = 24.3

Dividing by 2 on both the sides:

x = 24.3/2

x = $12.15

So, Rick has $12.15.

Now, the money Alex has:

3.63+12.15

$15.78

Hence, Alex has $15.78 and Rick has $12.15 money.

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To measure the height of a stack of 1,000 ponies:
1. Decide on the unit of measurement (meters, feet, etc.).
2. Prepare a suitable measuring tool.
3. Arrange the ponies in a stable stack.
4. Position the measuring tool vertically alongside the stack and measure from the base to the highest point.
5. Record the measurement in the chosen unit.

To measure the height of a stack of 1,000 ponies, you can use the following steps:
1. Determine the unit of measurement: Before measuring the height, it is important to decide on the unit of measurement that you will be using. Common units for measuring height include meters, feet, or centimeters.
2. Prepare a measuring tool: Depending on the unit of measurement you have chosen, you will need a suitable measuring tool. For example, if you are using meters, you can use a measuring tape or a ruler marked in meters. If you are using feet, a yardstick or measuring tape marked in feet would be appropriate.
3. Arrange the ponies: Make sure the stack of ponies is stable and secure. You can align them in a straight line or stack them on top of each other.
4. Measure the height: Position your measuring tool vertically alongside the stack of ponies. Start from the base of the stack and measure up to the highest point. Ensure that your tool is perpendicular to the ground and the stack of ponies for accurate measurement.
5. Record the measurement: Once you have determined the height, write down the measurement in the chosen unit. For example, if the stack of ponies measures 3 meters, record it as 3m.
It is important to note that the accuracy of your measurement may depend on factors such as the alignment and stability of the ponies in the stack. Also, consider rounding your measurement to an appropriate level of precision based on the measuring tool you are using.

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The null and alternative hypotheses are H_0: p ≥ 0.5 H_a: p < 0.5. So, the correct answer is option D.

Given that a study based on responses from 1, 024 randomly selected teenagers, concluded that 42% of teenagers cite grades as their greatest source of pressure. We have to test the claim that fewer than half of all teenagers in the population feel that grades are their greatest source of pressure. We need to formulate the null and alternative hypotheses.

For a 0.05 significance level, we have to consider the rejection region as less than 0.5. Since we need to test whether fewer than half of all teenagers in the population feel that grades are their greatest source of pressure, we should consider the null hypothesis as H0: p ≥ 0.5 (more than or equal to 50% of teenagers cite grades as their greatest source of pressure) and the alternative hypothesis as Ha: p < 0.5 (less than 50% of teenagers cite grades as their greatest source of pressure).

Therefore, the correct option is D. H0: p = 0.5 and Ha: p < 0.5.

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Answer:

see explanation

Step-by-step explanation:

The following statements are true

The domain of f(x) is all real numbers

The range of f(x) is all real numbers

f(2) = 4

locate x = 2 on the x- axis, go vertically up to meet the line at (2, 4 ) , then

f(2) = 4