Sketch the graph of each linear inequality

Select Stat >Basic Statistics >1-Sample Z to run a hypothesis test for the population mean when the population standard deviation is provided.

If your data is already organized in a column, type its name into the Samples in columns: box. Alternatively, if you are familiar with the summary statistics, click the arrow next to Summarized data and type the values for the Sample size and Mean into the appropriate fields. In all situations, fill out the Standard deviation box with the population standard deviation value. In the box labelled "Test mean:," type the value from the null hypothesis. Then, from the Alternative box, click the Options button and choose the relevant alternate theory. In each window, press OK. The output, which contains the p-value for the test, will show up in the Session window. You can decide something based on this p-value.

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The area of the composite shape in this problem is given as follows:

22 square units.

The figure in the context of this problem is a composite figure, hence we obtain the area of the figure adding the areas of all the parts of the figure.

The figure for this problem is composed as follows:

Hence the area of the figure is given as follows:

A = 3 x 4 + 0.5 x 5 x 4

A = 22 square units.

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Answer: 8:10, 7:54, 26 minutes

Step-by-step explanation:

a) Go to the row labeled Church Street, start in the column with time 7:59, read down until you get to the row labeled Bus Station.

b) Go to the High Street row. The latest arrival time that is still before 8:30 is 8:10. Starting in the column with 8:10, read UP to the Hope Street row. The bus leaves there at 7:54

c) Pick any column in the row for School Road. In that column, read down to the Bus Station row. The difference between the two times is 26 minutes no matter which column is selected.

The correct is (C) μ = -0.05 and σ = 0.15. The investigator is using the sample proportion p to estimate the true proportion of red blossoms in his hybrid plants.

The sample proportion p is expected to be normally distributed with a mean of μ = 0.15 and a standard deviation of σ = sqrt(p(1-p)/n), where n is the sample size. Substituting the values given, we get σ = sqrt(0.15(1-0.15)/50) = 0.05. However, since the investigator anticipates that the proportion of red blossoms is 0.15, he expects the sample proportion to be close to this value. Therefore, the mean of the sample proportion distribution should be close to the anticipated proportion, which is 0.15 - p = 0.15 - 0.15 = -0.05. Therefore, the correct answer is (C) μ = -0.05 and σ = 0.15. The investigator's anticipated proportion of red blossoms in his hybrid plants is 0.15. With a random sample of 50 plants, the sample proportion (p) follows a normal distribution. To determine the mean (μ) and standard deviation (σ), we can use the given information:
μ = p = 0.15 (anticipated proportion)
n = 50 (sample size)
We can calculate the standard deviation using the formula for binomial distribution:
σ = √(p(1-p)/n) = √(0.15(1-0.15)/50) = √(0.15*0.85/50) ≈ 0.05
Thus, the correct answer is (B) μ = 0.15 and σ ≈ 0.05.

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The original claim was based on 12 parts, the fraction of the pizza you ate is 10/12= 5/6. Therefore, you ate 5/6 of a large pizza.

If you initially claimed that you could eat 12 of a large pizza, it means that the whole pizza can be divided into 12 equal parts, and you thought you could consume all of them. However, you ended up eating only 5/6 of what you believed you could eat.

To determine the fraction of the pizza you actually consumed, we need to compare the amount you ate with the total amount of the pizza.

The amount you ate is given as 5/6 of what you claimed you could eat, which means you ate (5/6) ×12 = 60/6 = 10 parts of the pizza.

Since the original claim was based on 12 parts, the fraction of the pizza you ate is 10/12. To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2:

10/2 divided by 12/2 equals 5/6.

Therefore, you ate 5/6 of a large pizza. This means you consumed five out of six equal parts of the pizza you initially claimed you could eat.

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Hi! Based on the information provided, using homework 10 data with a significance level (α) of 0.05 and a p-value of 0.038, your conclusion is that you would reject the null hypothesis.

This is because the p-value (0.038) is less than the significance level (0.05), indicating that there is significant evidence to suggest that the alternative hypothesis is true. Therefore, the conclusion is made based on the evidence to suggest that there is a statistically significant difference between the groups being compared in the study analyzed in homework 10.

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Answer:

51:135

common factor is 3

51/3 = 17

135/3 = 45

17:45

A two-step experiment consists of tossing a six-sided die and flipping a coin. The sample space for this experiment consists of all possible outcomes that could result from both steps. To find the number of elements in the sample space, we need to multiply the number of possible outcomes for each step.

The first step involves rolling a six-sided die, which has six possible outcomes. The second step involves flipping a coin, which has two possible outcomes. To find the total number of elements in the sample space, we need to multiply these two numbers together:

6 x 2 = 12

Therefore, the sample space for this two-step experiment consists of 12 elements, each representing a unique outcome that could result from rolling the die and flipping the coin. This could be represented in a tree diagram, where each branch represents a possible outcome at each step, and the endpoints of the branches represent the final outcomes in the sample space.

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Answer:

x=5

sqrt of 5-4=1

then 1 +x(5)=6

The solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.

To solve the equation (√x - 4) + x = 6 algebraically, we can follow these steps:

Start with the given equation: (√x - 4) + x = 6.

Begin by isolating the square root term on one side of the equation. Subtract x from both sides:

(√x - 4) + x - x = 6 - x

√x - 4 = 6 - x

Move the constant term to the right side by adding 4 to both sides:

√x - 4 + 4 = 6 - x + 4

√x = 10 - x

Square both sides of the equation to eliminate the square root:

(√x)² = (10 - x)²

x = (10 - x)²

x = (10 - x)(10 - x)

x = 100 - 10x - 10x + x²

x = 100 - 20x + x²

Rearrange the equation to form a quadratic equation:

x² - 21x + 100 = 0

Solve the quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, we can factor the quadratic equation:

(x - 4)(x - 25) = 0

Set each factor equal to zero and solve for x:

x - 4 = 0 or x - 25 = 0

Solving for x in each case:

x = 4 or x = 25

Therefore, the solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.

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The percentage of the given values would be given below;

a.) 27.9%

27.9%b.) 75.4%

The percentage of a value is the representation of that value by dividing it through the total value and multiplying it by 100.

To change 12 out of 43 to a percentage ;

= 12/43 × 100/1

= 1200/43

= 27.9% (to the nearest decimal place)

To change 43 out if 57 to percentage;

= 43/57×100/1

= 4300/57

= 75.4% (to the nearest decimal place).

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To find the surface area of the solid obtained by rotating the curve y = 1/4\(x^2\) - 1/2ln(x) about the y-axis, we can use the formula for the surface area of revolution:

A = 2π ∫[a,b] y ds

Where a and b are the limits of integration, y is the function representing the curve, and ds is the differential arc length element.

First, let's find ds:

ds = √(1 + (dy/dx)^2) dx

Taking the derivative of y with respect to x:

dy/dx = 1/2x - 1/(2x)

Now, we can substitute this into the ds equation:

ds = √(1 + (1/2x - 1/(\(2x))^2\)) dx

  = √(1 + 1/4\(x^2\) - 1/x + 1/(4\(x^2\))) dx

  = √(5/4\(x^2\) - 1/x) dx

The limits of integration are 2 ≤ x ≤ 4.

Now, we can calculate the surface area using the formula:

A = 2π ∫[2,4] y ds

  = 2π ∫[2,4] (1/4\(x^2\) - 1/2ln(x)) √(5/4\(x^2\)- 1/x) dx

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Answer:

OOF thats pretty bad

Step-by-step explanation:

Answer:

146.6 yd².

Step-by-step explanation:

The total surface area

= area of rectangular base + area of the 4 side triangles ( 2 pairs of congruent triangles)

= 7*8 + 2 * 1/2 * 6.2 * 7 + 2 * 1/2 * 8 * 5.9

= 56 + 6.2*7 + 8*5.9

= 146.6.

The probability that more than 6 out of 9 packages arrive on time can be calculated using the binomial distribution.

In this case, we have a success probability of 70% (0.7) and we want to find the probability of getting more than 6 successes out of 9 trials.

Using the binomial probability formula, we can calculate the probability as follows: P(X > 6) = 1 - P(X ≤ 6)

To calculate P(X ≤ 6), we can sum the probabilities of getting 0, 1, 2, 3, 4, 5, and 6 successes.

The calculation involves evaluating individual probabilities and summing them up. The final result will determine the probability that more than 6 out of 9 packages arrive on time.

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Answer:

4x+1

Step-by-step explanation:

3x+x+1=4x+1

The inequality for the possible values of x is 5 < x < 6.5

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

The town's public square.

First, 2(x - 1) must be greater than 8

So, we have

2(x - 1) > 8

This gives

x - 1 > 4

So, we have

x > 5

Next, 4x + 3 must be greater than 6x - 10

So, we have

4x + 3 > 6x - 10

This gives

-2x > -13

So, we have

x < 6.5

When combined, we have

5 < x < 6.5

Hence, the inequality for the possible values of x is 5 < x < 6.5

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Answer:

This is a triangular pyramid so 6 egdes

Step-by-step explanation:

Answer:

185%

Step-by-step explanation:

Answer:

A) horizontal shift right 6

i) reflection over the x axis

E) vertical strech by 1/2

D) vertical shift up 5

Step-by-step explanation:

f (x) = -1/2 . 4 ^ (x - 6) +5

fx=−1/24^(x−6)+5

y=−1/2 4^(x−6)+5

ok

the negative makes a reflection over x-axis

vertical stretch by 1/2

+5= up 5 vertically

(x-6) makes it go right 6

uploaded image for extra help

Same as before I did it all and I got the same anwser

Answer:

7cm.by6cm sana makatulong

Answer:

The correct answer would be...

B. 7 cm by 6 cm by 18 cm

Step-by-step explanation:

Answer:

1st Option

Step-by-step explanation:

All angles in a triangle must add up to 180°.

Step 1: Set up equation

40° + 60° + 16x = 180°

Step 2: Rewrite

60° + 16x + 40° = 180°

Answer:

Option: A.

Step-by-step explanation:

Hey there!

In the given triangle;

60° +16x° + 40° = 180° { Sum of interior angle of a triangle}

100° + 16x= 180°

16x = 180° - 100°

\(x = \frac{80}{16} \)

Therefore, X= 5°.

So, Option A (equation) is used for solving the value of"X".

Hope it helps...

Answer:

a

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

1 -----> 3

?------>36

By make Cross

36*1/3 =12

The value of x found using the angle addition postulate is; x = 35°

The angle addition postulate states that the measure of the angle formed by the non-common sides (rays) of two adjacent angles that have a common side is the sum of the two adjacent angles.

The measures of the angles in the document are;

The measure of angle STV is 75°

The measure of angle WTV is 40°

The measure of angle STW is x°

Please find attached a possible drawing representing the angles, obtained from the drawing in a similar question, and created with MS Word.

The angle addition postulate indicates that we get;

m∠STV = m∠STW + m∠WTV

Whereby angle ∠x is the same as the angle ∠STW, therefore, wse get;

m∠STV = x° + m∠WTV

Plugging in the values for the angles defined by the letters, we get the angles

75° = x° + 40°

x° = 75° - 40° = 35°

The measure of angle x is 35°

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32% of the same people spend their time listening.

The total number of mentioned  people will be 100% or 1. Now, in the total people, the remaining ones who are not stated in the question, must be the listeners. Thus, calculating the remaining percentage of people, we will get the percentage of listeners in same people.

So, number of people who spend time speaking = 26%

Number of people who spend time speaking = \(\frac{26}{100}\)

Number of people who spend time speaking = 0.26

Number of people who spend time writing =  23%

Number of people who spend time writing = \(\frac{23}{100}\)

Number of people who spend time writing = 0.23

Number of people who spend time reading =  19%

Number of people who spend time reading = \(\frac{19}{100}\)

Number of people who spend time reading = 0.19

Total number of people involved in activities other than listening = 0.26 + 0.23 + 0.19

Total number of people involved in activities other than listening = 0.68

People who spend time listening = 1 - 0.68

People who spend time listening = 0.32

Percentage of people who spend time listening = 0.32 × 100

Percentage of people who spend time listening = 32%

Hence, 32% of the same people spend their time listening.

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Answer:

The highlighted part is the answer

Step-by-step explanation:

Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.

3x – 2y = 7

3x – 2(x + 2) = 7

3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).

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If A=18 cm, N=23.5 ft, R=2.6 in, K=34.5 m and H=9 mm, The volume of cube H using the side length is 729 cubic millimeters.

The side length of each cube is as follows:

A=18 cm

N=23.5 ft

R=2.6 in

K=34.5 m

H=9 mm

The formula to find the volume of a cube is given as:

Volume of cube = side³

Let's substitute the given side length in the formula to find the volume of each cube.

1. For cube A with side length of 18 cmVolume of cube A = side³= 18³= 5832 cubic cm

Therefore, the volume of cube A is 5832 cubic cm.

2. For cube N with side length of 23.5 ft

Volume of cube N = side³= (23.5)³= 12812.375 cubic feet

Therefore, the volume of cube N is 12812.375 cubic feet.

3. For cube R with side length of 2.6 in

Volume of cube R = side³= (2.6)³= 17.576 cubic inches

Therefore, the volume of cube R is 17.576 cubic inches.

4. For cube K with side length of 34.5 m

Volume of cube K = side³= (34.5)³= 420175.125 cubic meters

Therefore, the volume of cube K is 420175.125 cubic meters.

5. For cube H with side length of 9 mm

Volume of cube H = side³= (9)³= 729 cubic millimeters

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Answer:

5,386,830

Step-by-step explanation:

Answer:

y= 2/3x + 2

Step-by-step explanation: