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d1i1m1o1n [39]
3 years ago
13

If you know this answer plz help me out asap​

Mathematics
2 answers:
Svetach [21]3 years ago
8 0

Answer:

the answer is D.

Step-by-step explanation:

(2s-5+4s-13)*2=108

(6s-18)*2=108

12s-36=108

12s=108+18

s=12

2*12-5=24-5=19 mi

4*12-13=48-13=35 mi

tatyana61 [14]3 years ago
5 0

Answer:

D

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

P=2(l+w)

From our figure, our length is (2s-5) and our width is (4s-13). So, let's substitute (2s-5) for l and (4s-13) for w. This yields:

P=2((2s-5)+(4s-13))

We also know that the perimeter is 108. So, substitute that for P:

108=2(2s-5+4s-13)

Solve for s. We can first divide everything by 2:

54=2s-5+4s-13

Combine like terms:

54=(2s+4s)+(-5-13)

Add or subtract:

54=6s-18

Add 18 to both sides:

72=6s

Divide both sides by 6:

s=12

So, the value of s is 12.

Now, substitute this back in to find our length and width:

l=2s-5

Substitute 12 for s:

l=12(2)-5

Multiply and subtract:

l=24-5=19

Now, let's find the width:

w=4s-13

Substitute 12 for s:

w=4(12)-13

Multiply and subtract:

w=48-13=35

So, our length is 19 and our width is 35.

The choice that reflects this is D.

And we're done!

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The time a randomly selected individual waits for an elevator in an office building has a uniform distribution with a mean of 0.
Amiraneli [1.4K]

Answer:

The mean of the sampling distribution of means for SRS of size 50 is \mu = 0.5 and the standard deviation is s = 0.0409

By the Central Limit Theorem, since we have of sample of 50, which is larger than 30, it does not matter that the underlying population distribution is not normal.

0% probability a sample of 50 people will wait longer than 45 seconds for an elevator.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size, of at least 30, can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 0.5, \sigma = 0.289

What are the mean and standard deviation of the sampling distribution of means for SRS of size 50?

By the Central Limit Theorem

\mu = 0.5, s = \frac{0.289}{\sqrt{50}} = 0.0409

The mean of the sampling distribution of means for SRS of size 50 is \mu = 0.5 and the standard deviation is s = 0.0409

Does it matter that the underlying population distribution is not normal?

By the Central Limit Theorem, since we have of sample of 50, which is larger than 30, it does not matter that the underlying population distribution is not normal.

What is the probability a sample of 50 people will wait longer than 45 seconds for an elevator?

We have to use 45 seconds as minutes, since the mean and the standard deviation are in minutes.

Each minute has 60 seconds.

So 45 seconds is 45/60 = 0.75 min.

This probability is 1 subtracted by the pvalue of Z when X = 0.75. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.75 - 0.5}{0.0409}

Z = 6.11

Z = 6.11 has a pvalue of 1

1-1 = 0

0% probability a sample of 50 people will wait longer than 45 seconds for an elevator.

8 0
3 years ago
A line passes through the points (2,-4) and (6,10). What is the equation of the line?
deff fn [24]

Answer:

y = \frac{7}{2} x - 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (6, 10)

m = \frac{10+4}{6-2} = \frac{14}{4} = \frac{7}{2} , thus

y = \frac{7}{2} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, - 4) , then

- 4 = 7 + c ⇒ c = - 4 - 7 = - 11

y = \frac{7}{2} x - 11 ← equation of line

7 0
3 years ago
If f and g are functions, then (fog)(x) is always equal to (gof)(x)<br><br> true or false
valentina_108 [34]

Answer:

False

Step-by-step explanation:

Here is a counter example:

● f(x) = x^2

● g(x) = 3x

● (f○g)(x) = (3x)^2 = 9x^2 (1)

● (g○f)(x) = 3(x^2) = 3x^2 (2)

We can see that (1) and (2) aren't equal to each others.

4 0
3 years ago
Solve this system of linear equations. Separate the x- and y-values with a comma.
vodomira [7]

Answer:

x = \frac{5}{2}, y = \frac{5}{4}

Step-by-step explanation:

1. Isolate for x in one of the equations:

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

2. Substitute 2y in for x in the second equation:

9(2y) = 40 - 14y

3. Simplify:

18y = 40 - 14y

4. Isolate for y:

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = \frac{5}{4}

5. Substitute the new y-value into the simplified expression x = 2y:

x = 2(5/4)

x = \frac{5}{2}

hope this helps!

7 0
2 years ago
A cellular phone is in the shape of rectangular prism. The height of the phone is 6 millimeters, and the width is 50 millimeters
Bas_tet [7]

Answer: 75ml

Step-by-step explanation:

The volume of a rectangular prism is:

= Length × width × height

where,

Volume = 22500ml³

Length = Unknown

Width = 50ml

Height = 6ml

We then slot the values into the formula.

Volume = Length × width × height

22500 = Length × 50 × 6

22500 = Length × 300

Length = 22500/300

Length = 75ml

The length of the cellular phone is 75ml.

5 0
3 years ago
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