Is the following number irrational?
-8.7

The temperature after the door of the freezer is left open is 10.7°C.

The degree or intensity of heat present in a substance or object is called temperature.

It is given that the temperature in a freezer is -25.8 °C. The door is left open, and the temperature increases 36.5 degrees.

The final temperature after the door of the freezer is left open is -

{x} = - 25.8 + 36.5

{x} = 10.7°C

Therefore, the final temperature after the door of the freezer is left open is 10.7°C.

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Answer:

y = 25 degrees

Step-by-step explanation:

straight line has 180 degrees

so 180 - 115 = x which is 65 degrees

traingle has 180 also

65 + 90 = 155          180 - 155 = y which is 25 degrees

The triangle on the other side is the equivalent.

Answer:

y = 25°

Step-by-step explanation:

x = 180° - 115° (115° and x are supplementary angles)

x = 65°

In the triangle,

x + y + 90° = 180°

65° + 90° + y = 180°

155° + y = 180°

Subtract 155 from both sides,

y = 180° - 155° = 25°

Based on the given scatterplot, the trend appears to be a negative association between age and GPA. As age increases, GPA tends to decrease.

In a scatterplot, the trend represents the general pattern or direction of the relationship between two variables. In this case, the variables are age and GPA. The scatterplot shows that as age increases, there is a general tendency for GPA to decrease. This suggests a negative association between the two variables.

There could be several reasons for this negative association. It could be that older students have more responsibilities and less time to devote to their studies, leading to lower GPAs. Alternatively, it could be that older students are more likely to have completed more difficult courses earlier in their college careers, leading to lower GPAs in subsequent courses.

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Answer:

-3

The y-intercept is the final number and whether it is a negative or not.

Step-by-step explanation:

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Answer:

-3 is y intercept

Explanation:

                                 where m is the slope and b is the y-intercept

comparing with the formula. we can say that -5 is the slope and -3 is the y intercept.

B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

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Step-by-step explanation:

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The amount paid for the 5 pound of almond by Nachelle is $27.75.

Let 'p' be the number of pounds of almonds purchased by Nachelle.

Let 'c' be the total cost paid.

The cost of per pound of the almonds is $6.50 per pound.

The amount of the coupon is $4.75.

Thus, the equation will be ;

c = 6.50p - 4.75   ......equation.

For number of pounds p = 5.

c = 6.50×5 - 4.75

c = $27.75

Thus, the amount paid for the 5 pound of almond by Nachelle is $27.75.

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SOLUTION:

From the diagram, we can see that velocity in component form is;

To test the hypothesis of mean differences in artificially sweetened drink consumption among BMI groups, assuming a normal distribution, the researcher might use a one-way ANOVA.

The one-way ANOVA compares the means of three or more independent groups and determines if there are statistically significant differences among them. In this case, the BMI groups (normal weight, overweight, and obese) represent the independent groups, and the number of artificially sweetened drinks consumed is the dependent variable. By conducting a one-way ANOVA, the researcher can assess if there are significant differences in mean consumption among the BMI groups and draw conclusions regarding their hypothesis.

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Answer:

The three consecutive square numbers that added together give 149 are 6, 7 and 8.

Step-by-step explanation:

To determine which are the three square consecutive numbers that added together add up to 149, the following calculation must be performed:

1 x 1 = 1

2 x 2 = 4

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25

6 x 6 = 36

7 x 7 = 49

8 x 8 = 64

9 x 9 = 81

10 x 10 = 100

Thus, we can see that 36 + 49 + 64 gives the result 149. Therefore, the three consecutive square numbers that added together give 149 are 6, 7 and 8.

Answer:

(If solving for x) X = 2y-1

Step-by-step explanation:

Y-2 = 1/2(x-3)

Distributive property

Y-2 = 1/2x - 1.5

Addition property of equality

Y-0.5=1/2x

Multiplication property

2Y-1=X

Symmetric property

X = 2y-1

To translate an entire triangle, find the coordinates of each of the triangle's vertices, add the horizontal translation then plot the three translated points.

Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

There are some steps of translating the triangle:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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Answer:

1/4 is the answer for this because the slope is 1 and 4 so this means it is going up at a 1/4 slope.

Answer:

The slope = 1/4

According to the information from the fragment of the constitution, it can be established that the statement that best relates this issue to the Tenth Amendment is It reserves to the states any powers not granted to the federal government (option C).

The fragment focuses on the fact that this section of Article I provides congress with certain rights such as creating new laws, minting a currency, establishing post offices, among others.

The tenth amendment of the states is a part of the bill of rights. In this it was established that the powers that the Constitution does not delegate to the United States or prohibit to the States, are reserved to the States respectively or to the people.

The sentence that best explains the relationship of section 8 of Article I of the constitution with the Tenth Amendment is "It reserves to the states any powers not granted to the federal government" (option C).

Note: This question is incomplete because there is some information missing. Here is the complete information:

A It expands the list of specific powers granted to Congress.

B It allows the states to have the same powers granted to Congress.

C It reserves to the states any powers not granted to the federal government.

D It applies the "necessary and proper" clause to other branches of government.

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Answer:

2.45

Step-by-step explanation:

11x-2=25

11x=25+2

11x=27

11x/11=27/11

x= 2.45.

To check:

11x-2=25

11 × 2.45 - 2 = 24.95.

Round 24.95 to nearest whole number and you will get 25.

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

11

Step-by-step explanation:

12-5+4=12-1=11

Answer: 50,735

Step-by-step explanation:

The 90% confidence interval for the mean amount of syrup mixed with each drink is (1.10, 1.20) fluid ounces.

The 90% confidence interval for the mean amount of syrup mixed with each drink is calculated using the sample mean, sample standard deviation and the t-distribution. The lower bound of the confidence interval is calculated by subtracting the t-statistic multiplied by the standard error of the mean from the sample mean. The upper bound is calculated by adding the t-statistic multiplied by the standard error of the mean to the sample mean. The t-statistic is determined using the degrees of freedom, which is equal to the sample size minus 1. In this case, the confidence interval is (1.10, 1.20) fluid ounces. This means that we are 90% confident that the true mean amount of syrup mixed with each drink is between 1.10 and 1.20 fluid ounces.

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Answer:

Step-by-step explanation:

The line which 3x represents is twice as big as the 48. That's because both sides other than the base are bisected.

3x = 2 * 48

3x = 96            Divide by 3

3x/3 = 96/3     Combine

x = 32

\(p=mv=450\mathrm{kg}\cdot15\mathrm{\frac{m}{s}}=6750\mathrm{\frac{kgm}{s}}\).

Hope this helps.

Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

3100 = 600x + 4x^2

Divide through by 4

775 = 150x + x^2

x^2 + 150x - 775 = 0

Factorize

(x + 155)(x-5) = 0

x = 5 ft

The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

Answer:

C (-6,-8) → C' (6,8)

D (-2,-8) → D' (2,8)

E (-2,-4) → E' (2,4)

F (-6,-4) → F' (6,4)

Step-by-step explanation:

When you rotate a point 180° counterclockwise about the origin, the point A (x,y) becomes A' (-x,-y). So, if the points are positive, they will become negative.

Because all the points are negative, rotating them 180° counterclockwise will make them positive.

Hope that helps.

Answer:

80 square feet

Step-by-step explanation:

You can split it into a rectangle and a triangle. The area of the rectangle would be 2 * 16 = 32 square feet.

Next, you need to find the height of the triangle. To do this, you can split the triangle into two right triangles and use the pythagorean theorem to find the height. The dimensions of one of the right triangle is 8 for one of the legs and 10 for the hypotenuse. Using the pythagorean theorem, 8^2 + b^2 = 10^2, which is 64 + b^2 = 100, so b^2 = 36 and b = 6. This means that the height is 6. Now, you find the area of the triangle and you get 16 * 6 / 2 = 48.

Adding the area of the rectangle and the triangle: 32 + 48 = 80

Not sure why that's not an answer choice, I'm fairly confident it's right.

Answer:

1.6

Step-by-step explanation:

12.8/8 = 1.6

15.2/9.5 = 1.6

Scale factor = 1.6

If the resulting F-statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the variances are significantly different.

The F-test is a statistical test used to compare the variances of two groups.

In this problem, we will use it to compare the variance of the value added by the manufacturer and the variance of the cost of materials in manufacturing. The F-test is performed by dividing the larger variance by the smaller variance. The resulting F-statistic is then compared to the critical value of an F-distribution with degrees of freedom equal to the sample size minus one for each group.

Before we can perform the F-test, we need to determine which variable will be group 1. Typically, the variable with the smaller mean is designated as group 1. This is because we want to minimize the chance of making a type II error, which is failing to reject the null hypothesis when it is false. If we designated the variable with the larger mean as group 1, we might not detect a significant difference between the groups, even if one exists.

Once we have designated which variable will be group 1, we can perform the F-test. If the resulting F-statistic is greater than the critical value of the F-distribution, we reject the null hypothesis and conclude that the variances are significantly different.

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The standard normal distribution has a mean of 0 and a standard deviation of 1. M ≈ 30.935. The median of the distribution is also 25.

(a) To find M, we first need to convert the given values of mean and standard deviation to the standard normal distribution. This can be done by using the formula Z = (X - μ) / σ, where Z is the Z-score, X is the value of interest, μ is the mean, and σ is the standard deviation. In this case, we have X ~ N(25, 9). Substituting the values into the formula, we get Z = (X - 25) / 3. Now we need to find the Z-score that corresponds to the desired probability of 0.95. Using a standard normal distribution table or a calculator, we find that the Z-score corresponding to a cumulative probability of 0.95 is approximately 1.645. Setting Z equal to 1.645, we can solve for X: (X - 25) / 3 = 1.645. Solving for X, we get X ≈ 30.935. Therefore, M ≈ 30.935.

(b) The median is the value that divides the distribution into two equal halves. In a normal distribution, the median is equal to the mean. In this case, the mean is given as 25. Therefore, the median of the distribution is also 25.

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Answer:

second answer

Step-by-step explanation:

yards is commonly used for large sparse area measurements