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3 years ago

8

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the n

ext value. Round your final answer to the nearest tenth. Please show all work.

1 answer:

nevsk [136]3 years ago

5 0

Answer:

15.7. Hope this helps.

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There is a bag of tiles where 8 are red, 5 are blue, 4 are orange, and 3 are green. If one is picked at random, replaced, and an

sesenic [268]

Answer:

i think it is 1/100

Step-by-step explanation:

4/20^2 add all the marbles number together than put the amount of orange marbles on top of it so it is 4/20 than square it

8 0

3 years ago

Is 226.08cm to the third power the correct response?

drek231 [11]

Surface Area of a cylinder 2(π•r²)+(2π•r)•h

So

If the diameter is 8 then the radius is 4. the height is 5.

so you have, 2(3.14•4²)+(2•3.14•4)•5

solve. PEMDAS
Parentheses & Exponents first.
2(3.14•16)+(2•3.14•4)•5
2(50.24)+(6.28•4)•5
2(50.24)+(25.12)•5
Multiplication & Division second (left to right)
100.48+125.6
Add & Subtract (left to right)
226.08cm

5 0

3 years ago

Use elimination to solve the system.

julia-pushkina [17]

Answer:

the answer to your question is (9,3)

4 0

3 years ago

An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiveness of the new meth

Anna35 [415]

Answer:

With 89.9% we can say that the mean improvement is between 583.1 and 728.1 vehicles per hour.

Step-by-step explanation:

We are given that the effectiveness of the new method was evaluated in a simulation study. In 50 simulations, the mean improvement in traffic flow in a particular intersection was 655.6 vehicles per hour, with a standard deviation of 311.7 vehicles per hour.

A traffic engineer states that the mean improvement is between 583.1 and 728.1 vehicles per hour.

<em>Let </em> $\bar X$ <em> = sample mean improvement</em>

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = mean improvement = 655.6 vehicles per hour

$\sigma$ = standard deviation = 311.7 vehicles per hour

n = sample of simulations = 50

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, Probability that the mean improvement is between 583.1 and 728.1 vehicles per hour is given by = P(583.1 < $\bar X$ < 728.1) = P( $\bar X$ < 728.1) - P( $\bar X$ $\leq$ 583.1)

P( $\bar X$ < 728.1) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{728.1-655.6}{\frac{311.7}{\sqrt{50} } }$ ) = P(Z < 1.64) = 0.9495

P( $\bar X$ $\leq$ 583.1) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{583.1-655.6}{\frac{311.7}{\sqrt{50} } }$ ) = P(Z $\leq$ -1.64) = 1 - P(Z < 1.64)

= 1 - 0.9495 = 0.0505

<em />

<em>So, in the z table the P(Z </em> $\leq$ <em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.64 in the z table which has an area of 0.9495.</em>

Therefore, P(583.1 < $\bar X$ < 728.1) = 0.9495 - 0.0505 = 0.899 or 89.9%

Hence, with 89.9% we can say that the mean improvement is between 583.1 and 728.1 vehicles per hour.

6 0

3 years ago

Which value of a in the exponential function below would cause the function to shrink? f(x) = a(three-halves) Superscript x Four

Natalka [10]

Answer:

Four-fifths

Step-by-step explanation:

As we know that

By multiplying the function by a constant, we may expand or shrink the function in the y-direction.

Now we have

$y=a(b^{x})$

if $a> 1$ > the function would enlarge

if $0< a < 1$ > the function would shrinks

Now

For case A

$a = \frac{4}{5}$

$0 < (\frac{4}{5} )< 1$ ....... > the function would shrinks

For case B

$a = \frac{5}{4}$

$(\frac{5}{4} )>1$ .......> the function would enlarge

For case C

$a = \frac{3}{2}$

$(\frac{3}{2} )>1$ .........> the function would enlarge

For case D

$a = \frac{7}{4}$

$(\frac{7}{4} )>1$ .........> the function would enlarge

Therefore the second option is correct

5 0

3 years ago

Read 2 more answers