Solve the equation.
-8y-8=7y +22

Answer:

The value is -3

Step-by-step explanation:

Here in this question, we are interested in making the expressions on both sides of the equation equal. But we seek a particular value or number which when placed in front of the quadratic expression on the right hand side makes the equations equal.

To get this done with, we will need to factorize the expression on the left hand side of the equation.

Thus, we can write;

-27x^2 + 9x + 12 as 3(-9x^2 + 3x + 4)

What do we notice? we can see that the now factored quadratic expression resembles what we have on the right hand side asides there fact that we are not there yet in terms of sign.

Thus, we can finally write ;

-27x^2 + 9x + 12 as -3(9x^2 -3x -4)

This exactly gives the expression on the right hand side

Thus the value to place in the blank is -3

Answer: 7^3/7^6= 1/343

Step-by-step explanation: We move 7^-6 to a denominator because we cannot have a negative exponent in the numerator.

So it would be 7^3/7^6

Which then would be 7*7*7/7*7*7*7*7*7

Which would equal 343/117649

Simplify and you get 1/343

The Great Depression and the memories of the catastrophic losses in World War I combined in the 1930s to push American public opinion and policy in the direction of isolationism. Isolationists favored staying out of international affairs and staying out of conflicts in Europe and Asia.

The devastation and expense of World War One had left their imprint on America, and the majority of people there just wanted to be left alone to focus on fostering prosperity in their country rather than be involved in any further politics in Europe.

Because they did not want the US to be drawn into another conflict the way they (perceived) it had been into World War I, many Americans in the 1930s backed an isolationist stance.

Because when he first became office, he felt at ease reaching out to the globe in a variety of ways. However, after realizing that his neighbors did not get along, he decided it would not be best for the US to become involved.

Therefore,

The Great Depression and the memories of the catastrophic losses in World War I combined in the 1930s to push American public opinion and policy in the direction of isolationism. Isolationists favored staying out of international affairs and staying out of conflicts in Europe and Asia.

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Answer:

-5.4

Step-by-step explanation:

Answer:

46/10 or 23/5

Step-by-step explanation:

Answer:

46/10

Step-by-step explanation:

I got it right on imagine math

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

\(2x = 8\)

Step-by-step explanation:

We first need to find the value of 'x'.

This means that we need to solve for 'x' in the equation that is given.

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

\(5x - 3 = 17\\\rule{150}{0.5}\\5x - 3 + 3 = 17 + 3\\\\5x = 20\\\\\frac{5x = 20}{5}\\\\\boxed{x = 4}\)

The value of 'x' is 4.

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

We then need to find the value of '2x' by replacing x with '4' and then evaluating.

\(2x; x= 4\\\rule{150}{0.5}\\2 \times 4\\\\\boxed{8}\)

The value of '2x' is 8.

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

Hope this helps!

The correct test statistic is approximately -2.11.

The negative sign indicates that the sample mean is lower than the hypothesized mean.

The correct test statistic in this case is the t-statistic.

We can use the t-statistic to compare the mean of the sample to the hypothesized mean of the standard painkiller (μ = 3.5 minutes).

The formula for calculating the t-statistic is:

t = (sample mean - hypothesized mean) / (sample standard deviation / √sample size)

Plugging in the given values:

sample mean = 2.8 minutes,
hypothesized mean (μ) = 3.5 minutes,
sample standard deviation = 1.1 minutes,
sample size = 40.

Calculating the t-statistic:

\(t = (2.8 - 3.5) / (1.1 / \sqrt{40} \approx-2.11\) (rounded to four decimal places).

Therefore, the correct test statistic is approximately -2.11.

The negative sign indicates that the sample mean is lower than the hypothesized mean.

The t-statistic allows us to determine the likelihood of observing the given sample mean if the hypothesized mean were true.

By comparing the t-statistic to critical values from the t-distribution, we can assess the statistical significance of the difference between the means.

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Answer:

37

Step-by-step explanation:

5 x 6 = 30

30+7=37

Answer:

37

Step-by-step explanation:

5x + 7

x = 6

All you need to do is substitute the "x" with "6" since that has been given....

5(6) + 7

30 + 7

37

Hope this helped!

Have a supercalifragilisticexpialidocious day!

SOLUTION

From this question, we can see that the Provost randomly selected 3 members from each department, which means the entire people in the faculty were grouped in a homogenous group which is "the departments" and 3 were then randomly selected from each homogenous group. Such type of sampling in which an entire population is divided into homogeneous groups and random samples are then taken from each group is know as Stratified random sampling.

Hence, the 4th option (Stratified sampling) is the correct answer.

Answer:

Domain: [-10, 0]

Range: [-3, 2]

Answer:

Step-by-step explanation:

Volume = l * b *h

1) Volume = 8 * 6 * 3

                  =  144 ft³

2) Volume = 5 * 2 * 10

                 = 100 cm³

3) Volume = 7*  4 * 15

                  = 420 in³

A triangle is a shape used to represent the components of total health. True

The kinetic energy will the ball acquire from the bat is 2× 10² J

According to the question

Bat stays in contact for 5.0 X 10⁻³ and the ball travels at a speed of 2.0 X 10⁴.

An object's kinetic energy is the power it has as a result of motion. It is explained as the amount of effort required to move a mass-based body from rest to the indicated velocity.

The body keeps its kinetic energy, which it acquired during acceleration, unless its speed changes.

A mass m object moving at a speed v has kinetic energy 1/2 mv² according to classical mechanics.

Favg= -1/2 MV²

K= -1 2 ( 5.0 x 10⁻³)²

K = - 1/2 ×25 × 10⁻⁶

K = 2× 10² J

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Answer:

“I should not have to turn the water off while I brush my teeth.”

Step-by-step explanation:

A claim is a statement that expresses the main idea or position of an argument. A claim is usually supported by reasons and evidence to persuade the audience to accept it. A claim can also be challenged or refuted by counterclaims and counterarguments.

To find the claim in the passage, you need to look for the statement that expresses the author’s main idea or position on the topic of turning off the water while brushing teeth. The claim is usually found at the beginning or the end of the passage, but it can also be implied or repeated throughout. In this case, the claim is found at the beginning of the passage:

“I should not have to turn the water off while I brush my teeth.”

This is the claim because it expresses the author’s main idea or position on the topic. The rest of the passage provides reasons and evidence to support this claim, such as hating to brush teeth, finding it annoying to turn off the water, and being only one person who cannot waste much water. These reasons and evidence may not be very convincing or valid, but they still serve to support the claim.

So, the claim in the passage is I should not have to turn the water off while I brush my teeth.

Option (A): "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed" is a false statement.

Now, amongst the considered options, "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed." (Option A) is not true, because:

As the degrees of freedom increases, the shape of the Chi-Square Distribution approaches a normal distribution and the graph of the Chi-Square Distribution looks more symmetrical.

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Answer:

Every day, Sally saves 1 penny, 10 cents, and 25 cents.

In total, she saves 1 + 0.1 + 0.25 = $0.35 every day.

So, in order for her to save an amount equal to an integral number of dollars, we need to find the least number of days it would take for the total savings to be greater than or equal to $1.

To do this, we can divide $1 by $0.35, which will give us the least number of days it would take for Sally to save $1.

1 / 0.35 = 2.857142857142857

The least number of days required for her to save an amount equal to an integral number of dollars is 3.

Sally would need to save for at least 3 days to have an amount equal to an integral number of dollars.

Step-by-step explanation:

Answer:

-45

Step-by-step explanation:

-100 + -80 = 6x + -2x

-180 = 4x

-180/4 = -45

Answer:

x= -45

Step-by-step explanation:

-100 + 2x =  80 + 6x

-80  - 2x  =  -80 -2x

------------------------------

-180 + 0   =    0 + 4x

-180/4 = x

-45 = x

Answer:

86.4

Step-by-step explanation:

12% of 240 * 3 = 86.4

The statistic used to determine the percentage variation in height is the coefficient of variation (CV).

In statistics, the coefficient of variation (CV) is a normalized measure of the dispersion of a probability distribution. The coefficient of variation is used to measure the relative variability of data with respect to the mean, and is calculated as the ratio of the standard deviation to the mean.

It is often expressed as a percentage, and is useful in comparing the variability of two or more sets of data measured in different units. Therefore, the coefficient of variation is used to determine the percentage variation in height.

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Probability that the mean diamter of the sample shaftes would differ from the population mean by less than 0.1 inches is 0.4778.

What do you mean by standard deviation?

The standard deviation is a statistical indicator of how widely distributed a set of values are. A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.

Here, it is given that

Standard deviation , σ = 1.3

Mean diamter, μ = 202

Number of shafts , n = 70

σ\(_{x}\) = σ/\(\sqrt{n}\) = 1.3/\(\sqrt{70}\) = 0.1554

Difference less than 0.1 = 202 - 0.1 = 201.9 , 202 + 0.1 = 202.1

P(\(\overline{x}\) < 0.1) = P(201.9 < x < 202.1)

P ( 201.9 - 202 /  0.1554 ) < \(( \bar x - \mu\bar x /\sigma\bar x)\) < ( 202.1 - 202 /  0.1554 )

P ( - 0.1 / 0.1554 < z < 0.1 /  0.1554 )

P (-0.64 < z < 0.64 )

P ( z < 0.64) - p ( z < -0.64 )

Using z table

= 0.7389 - 0.2611

= 0.4778

Probability =0.4778

Therefore, Probability that the mean diamter of the sample shaftes would differ from the population mean by less than 0.1 inches is 0.4778.

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Answer:

-33

Step-by-step explanation:

2/3(x+6)=18

Multiply by 3/2 on each side

3/2 *2/3(x+6)= -18*3/2

x+6=-27

subtract from each side

x+6-6=-27-6

x=-33

Answer:

B. -33

Step-by-step explanation:

Answer: 439.2 miles

Step-by-step explanation:

213.5/3.5=61

61*7.2=439.2 miles in total

The density function of √u, where u is uniformly distributed on [0,1], is f(v) = 2√v for 0 ≤ v ≤ 1.

To find the density function of √u, where u is uniformly distributed on the interval [0,1], we can use the transformation method.

Let's denote the random variable √u as v = √u. We want to find the probability density function (PDF) of v.

First, we find the cumulative distribution function (CDF) of v:

F(v) = P(v ≤ x) = P(√u ≤ x) = P(u ≤ x²) = x², for 0 ≤ x ≤ 1.

Next, we differentiate the CDF to obtain the PDF of v:

\(\begin{equation}f(v) = \frac{d}{dv} F(v) = \frac{d}{dv} (x^2) = 2x, \quad 0 \leq x \leq 1\)

However, we need to express the PDF in terms of v, not x. Since v = √u, we can substitute x = √v into the PDF:

f(v) = 2√v, for 0 ≤ v ≤ 1.

Therefore, the density function of √u is f(v) = 2√v, for 0 ≤ v ≤ 1.

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Answer:

\(60\)

Step-by-step explanation:

Using the exterior angle theorem, \(y=35^{\circ}+25^{\circ}\).

Answer:

7

Step-by-step explanation:

49(waterballoons) divided by 7=7groups

Answer:

The answer is 36

Step-by-step explanation:

=16-4(-5)

=16-(-20)

=36