Find the scale factor of trapezoid QRST

Answer:

c

Step-by-step explanation:

edge

\(8m {}^{3} - 128m \\ 8m( {m}^{2} - 16)\)

By taking common

8+6x=380

-8        -8

6x=372

divide by 6 on both sides

x=300/6+72/6

x=50+12

x=62

ANSWER: 62 days

Answer:

To solve this problem, we can use the equations of motion for a vertically launched object. First, we need to find the initial velocity of the snowball when it is kicked off the ground. We know that its speed is 24 feet per second, but we also need to take into account the angle at which it is kicked. Let's assume that Max kicks the snowball at a 45-degree angle. Using trigonometry, we can find that the horizontal velocity of the snowball is also 24 feet per second, and the vertical velocity is 24 feet per second times the sine of 45 degrees, which is approximately 16.97 feet per second. Now we can use the following equation to find the time it takes for the snowball to hit the ground: h = vi*t + 0.5*a*t^2 where h is the maximum height, vi

Answer:

Eh, I think zero apples

Step-by-step explanation:

This is because if you eat 3 apples a day for 30 days you get,
3x30=90

Answer:218 degrees

Step-by-step explanation:c

The Mean of the dispersion of z-scores will be 0, and the standard deviation will be 1. 

On the off chance that all of the scores within the populace are changed into z-scores, at that point the coming about the conveyance of z-scores will have a cruel (mean) of and a standard deviation of 1.

Usually, since the change of a crude score x to a z-score is given by:

z = (x - μ) / σ

where μ is the populace Mean.

and σ is the populace standard deviation.

When all scores within the populace are changed to z-scores, the Mean of the coming about dispersion of z-scores will be:

( Mean of z-scores)

= [(Mean  of crude scores) - μ] / σ

= (μ - μ) / σ =

So also, the standard deviation of the dissemination of z-scores will be:

(standard deviation of z-scores) = (standard deviation of crude scores) / σ = σ / σ = 1

In this manner,

The cruel of the dispersion of z-scores will be 0, and the standard deviation will be 1. 

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If all of the scores in the population are transformed into z-scores, the values for the mean and standard deviation for the complete set of z-scores will be a mean of 0 and a standard deviation of 1.

This is because the process of transforming scores into z-scores involves subtracting the mean of the population and dividing by the standard deviation, which effectively standardizes the data to have a mean of 0 and a standard deviation of 1. When all the scores in a population are transformed into z-scores, the mean of the complete set of z-scores will be 0 and the standard deviation will be 1. This is because z-scores represent the number of standard deviations a value is from the mean, and the transformation standardizes the distribution.

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Answer:

The Answers are down below

Step-by-step explanation:

1) y=MX+B

y=-1/2X+B

(-6,-8)

-8=-1/2(-6)+b

-8=6/2+b

-8=3+b

b=-8-3

b=-11

\(y = - \frac{1}{2} x - 11\)

2)y=mx+b

y=-4/3x+b

(30,24)

24=-4/3(30)+b

24=-40+b

b=24+40

b=64

\(y = - \frac{4}{3} x + 64\)

The p-value for the given test is approximately 0.067, rounded to two significant digits. This was calculated by finding the area to the right of z=1.5 under the standard normal distribution.

It is given that Null hypothesis: H0: μ ≤ 0, Alternative hypothesis: H1: μ > 0, Population standard deviation: σ = 1, Test statistic: z = 1.5

To find the p-value, we need to calculate the probability of observing a z-value of 1.5 or greater under the null hypothesis. Since the population follows the standard normal distribution, we can use a standard normal table or a calculator to find this probability.

Using calculator, we can find that the area to the right of z = 1.5 is approximately 0.0668 (rounded to four decimal places).

Since this is a one-tailed test with the alternative hypothesis in the right tail, the p-value is equal to the area in the right tail beyond the observed z-value. Therefore, the p-value for the test is approximately 0.067 (rounded to two significant digits).

So, the p-value for the given test is 0.067 (rounded to two significant digits).

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The expression representing the number of points Avery scored in terms of the number of points Jim scored is 2j - 10.

Let's assume that Jim scored 'j' points during the game. According to the given information, when Jim doubles his number of points and subtracts 10 from that number, the result is the same as the number of points Avery scored. Therefore, we can write an equation as follows:

2j - 10 = number of points scored by Avery

To find the expression representing the number of points Avery scored in terms of the number of points Jim scored, we simply solve the above equation for Avery's points:

number of points scored by Avery = 2j - 10

Therefore, the expression representing the number of points Avery scored in terms of the number of points Jim scored is 2j - 10.

In summary, Jim scored 'j' points during the game and when he doubles his number of points and subtracts 10 from that number, he gets the same result as the number of points Avery scored.

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Answer: x=-9

Step-by-step explanation: First, combine like terms. 3x+4-2x=-5

Then x+4 = -5

x=-9

Explanation

Given the function

We can find the value of p when f(-2 )=10 below;

Therefore, we will have;

Answer: p = -3

Answer:

it would be c

Step-by-step explanation:

Let L be the average number of customers in the system (i.e., the length of the line), λ be the arrival rate, W be the average time each customer spends in the system (i.e., the total time in the line plus the service time), and μ be the service rate. Then:

L = λW

We know that the arrival rate is λ = 7/hour and the service rate is μ = 16/hour. We also know that the average waiting time in the line is 19 minutes, or W = 19/60 hours. We can calculate W as follows:

W = Wq + 1/μ

where Wq is the average time a customer spends waiting in the line. Since we don't know the distribution of the arrival and service times, we cannot directly calculate Wq. However, we can use Little's Law again to relate the average number of customers in the waiting line to the average waiting time in the line:

Lq = λWq

where Lq is the average number of customers waiting in the line. We can then substitute this expression for Lq into the equation for W:

W = Lq/λ + 1/μ

W = (λWq)/λ + 1/μ

W = Wq + 1/μ

Solving for Wq, we get:

Wq = W - 1/μ

Wq = 19/60 - 1/16

Wq = 0.2667 hours

Now we can use Little's Law to calculate the length of the line:

L = λW

L = 7/hour x 0.2667 hours

L = 1.8667

Therefore, the length of the line is approximately 1.87 customers. Note that this is an average value, and the actual length of the line can fluctuate above or below this value due to random arrivals and service times.

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Answer: Rs 1469

Step-by-step explanation:

Coat of item = RS 1300

Value added tax = 13%

The price of the item will then be calculated as:

= 1300 + (1300 × 13%)

= 1300 + (1300 × 0.13)

= 1300 + 169

= Rs 1469

According to the question he gave 222 cookies to each student who showed up for class. Jacob gave cookies to approximately 3415 students on the first day of school.

To solve the problem, we can divide the total number of cookies Jacob made (757575) by the number of cookies given to each student (222).

Number of students = Total number of cookies / Cookies given to each student

Number of students = 757575 / 222

Number of students ≈ 3415

Therefore, Jacob gave cookies to approximately 3415 students on the first day of school.

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Answer:

(x+5)²=0

Step-by-step explanation:

I don't know how to explain this.. I'm sorry. It's an algebraic identity. If that helps..

The equation of the line that is perpendicular to given line is y = -x -2

From the question, we are to determine the equation of the line

From the given information,

We have that the two lines are perpendicular

If two lines are perpendicular, the product of their slopes is -1

That is,

m₁m₂ = -1

Where m₁ is the slope of the first equation

and m₂ is the slope of the second equation

In the given equation,

y = x - 2

Compare to the general form of the equation of a line

y = mx + b

Where m is the slope

and b is the y-intercept

Thus,

In the equation, y = x - 2

Slope = 1

Therefore,

The slope of the equation we are to determine is -1

Also, from the given information,

The line passes through the point (-12, 10)

Using the point-slope form of a line

y - y₁ = m(x - x₁)

x₁ = -12

y₁ = 10

Thus,

y - y₁ = m(x - x₁)

y - 10 = -1(x - -12)

y - 10 = -1(x + 12)

y - 10 = -x -12

y = -x -12 + 10

y = -x -2

Hence, the equation of the line that is perpendicular to given line is y = -x -2

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Answer:

Step-by-step explanation:

did u get the answer?//

Answer:

3,000,000,000

Step-by-step explanation:

Answer: D. -1.58

Explanation: The Z-score is calculated by taking the raw score, subtracting the mean, and then dividing by the standard deviation. This gives us (-85.2-89)/2.4 = -1.58

Answer:

C. (0, 4)

Step-by-step explanation:

Your vertex is going to be (h, k).

Alternatively you can graph the equation to find that your vertex is at (0, 4)

Answer:

yo lol

Step-by-step explanation: meow

Latrell would need to pay 105 to replace the felt on his pool table.

Latrell has a pool table that is 3 feet wide and 7 feet long.

The pool table's felt needs to be replaced, and the cost of the felt per square foot is $5.00.

Let's find out how much it would cost Latrell to replace the pool table's felt.

What is the surface area of the pool table.

To determine the surface area of the pool table,

we need to multiply the length by the width, as shown below:

Surface area = length × width

Surface area = 7 ft × 3 ft

Surface area = 21 square feet

Now that we know the surface area of the pool table, we can determine the cost of the felt.

Latrell will need 21 square feet of felt, and it costs $5.00 per square foot.

We can use the following formula to determine the total cost of the felt:

Total cost of felt = cost per square foot × surface area.

Total cost of felt = $5.00 × 21 square feet.

Total cost of felt = $105

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Answer:

because we want to learn with there meaning. so first we want to study about what that picture is tell about and what is the shape, why it is use. so only they uses the properties. we not magup the maths. we want learn and write.

Step-by-step explanation:

please mark me as a brainlist..

Option D)  Total percent that is between the mean plus and minus 1.96 standard deviations is 0.8413 - 0.1587 = .6826 = 68.26%

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution, or z-distribution. By transforming the values of any normal distribution into z scores, it is possible to standardize it. Z scores provide the number of standard deviations from the mean that each value falls within.

In the problem standard Deviation (SD) is 1.96.

Let the mean of the distribution be \(\alpha\).

And , The standard Distribution is z .

Therefore The value of Random Variable X are \(\alpha\) -1.96 and \(\alpha\) + 1.96.

Standard Distribution for X = \(\alpha\) -1.96 we get ,

z = \(\frac{X - mean}{SD} = \frac{\alpha -1.96 -\alpha }{1.96} = -1\)

For Z = -1 ,

Normal Distribution is \(\phi(z) = \phi(-1) = 1 - \phi(1) = 1 - 0.8413 = .1587\)

Similarly for X = \(\alpha\) + 1.96

z = 1

\(\phi(z) = \phi(1) = 0.8413\)

Total probability that is between the mean plus and minus 1.96 standard deviations is 0.8413 - 0.1587 = .6826 = 68.26%

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In this scenario, the replacement times for DVD players produced by Company XYZ are normally distributed with a mean of 6.9 years and a standard deviation of 1.5 years.

To find the probability that a randomly selected DVD player will have a replacement time less than 2.1 years, we need to calculate the z-score and use the standard normal distribution. The z-score is calculated as (X - μ) / σ, where X is the given value, μ is the mean, and σ is the standard deviation. Plugging in the values, we have (2.1 - 6.9) / 1.5 = -3.26. We then use the z-score table or a calculator to find the corresponding cumulative probability, which is 0.0005. Therefore, P(X < 2.1 years) = 0.0005.

To determine the time length of the warranty, we need to find the value of X such that only 0.6% of the DVD players have replacement times less than X. This is equivalent to finding the z-score corresponding to a cumulative probability of 0.006 (0.6%). Using the z-score table or a calculator, we find the z-score to be approximately -2.577. We can then use the formula z = (X - μ) / σ and solve for X by plugging in the values of z, μ, and σ. Rearranging the formula, we have X = z * σ + μ. Substituting the values, we have X = -2.577 * 1.5 + 6.9 = 2.635. Therefore, the time length of the warranty should be approximately 2.635 years.

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After solving an equation as per given relation of Lan, Lisa and Jim height ,now Lan's height is 174centimeters.

As given ,

Let h be Lan's height today in centimeters.

As per the relation between  Lan, Lisa and Jim height we have,

Lan=h cm

Lisa=h + 4

Jim=h -8

After 4 months, every month their heights increase by 2 cm

Lan=h + 8

Lisa=h + 4 +8

Jim=h -8 +8

Required equation for given condition:

Lan + Jim=170 +Lisa

⇒h +8 + h -8 + 8=170 + h + 4+8

⇒2h+8=h+182

⇒h=174cm

Therefore, after solving an equation as per given relation of Lan, Lisa and Jim height ,now Lan's height is 174centimeters.

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The required rate of return for DAK Corporation is 12.34%.

What is the required rate?

The minimal profit (return) an investor will seek or expect in exchange for taking on the risk of investing in a stock or other type of security is known as the required rate of return (RRR). RRR can also be used to determine a project's potential profitability in relation to its funding costs.

Here, we have

Given Information

Beta =   1.25

The yield on 30-year T bonds (rf)=     5.65%

Return on S&P (rM) =    11%

Required Return for DAK = rf + Beta*(rM - rf)

= 5.65% + 1.25*(11% - 5.65%)

=  12.34%

Hence,  the required rate of return for DAK Corporation is 12.34%.

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