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3 years ago

L= 7 cm W=7 cm what is P= and A=

1 answer:

6 0

Assuming these are dimensions of a rectangle, and you are interested in the perimeter and area, you can use the appropriate formulas.

P = 2(L +W)
P = 2(7 cm +7 cm) = 28 cm

A = L*W
A = (7 cm)*(7 cm) = 49 cm²

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I need help on unit rates

rjkz [21]

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5 0

3 years ago

A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.

yawa3891 [41]

Answer:

The probability is 0.003

Step-by-step explanation:

We know that the average $\mu$ is:

$\mu=500$

The standard deviation $\sigma$ is:

$\sigma=100$

The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

We seek to find

$P(x800)$

For P(x>800) The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

$Z=\frac{800-500}{100}$

$Z=3$

The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x>800)=0.15\%$

For P(x<200) The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

$Z=\frac{200-500}{100}$

$Z=-3$

The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x$

Therefore

$P(x800)=P(x800)$

$P(x800)=0.0015 + 0.0015$

$P(x800)=0.003$

6 0

3 years ago

You are biking to the park. After six minutes 40% of the distance still need to be traveled. How long does it take to bike to th

nikklg [1K]

Answer:

$y = (100-10x)\%$

It takes <em>10 minutes</em> to the park.

Step-by-step explanation:

Given that:

Time taken = 6 minutes

Distance left to be traveled = 40%

To find:

The equation to represent the distance $y$ , that still needs to be traveled after $x$ minutes.

Solution:

As per given statement, distance traveled in 6 minutes = 60%

We can say that:

Distance traveled each minute = $\frac{60\%}{6}$ = 10%

After 1 minute, distance traveled = 10%

Distance left = 100 - 10 = 90%

After 2 minutes, distance traveled = 20%

Distance left = 100 - 20 = 80%

After $x$ minutes, distance traveled = 10 $x$ %

Distance left, $y$ = (100 - 10 $x$ )%

Therefore, the equation is:

$y = (100-10x)\%$

Time taken by the bike to reach to the park can be found by putting $y$ = 0 (i.e. distance left to be traveled = 0)

$0 = 100 -10x\\\Rightarrow 10x = 100\\\Rightarrow x = \bold{10\ minutes}$

8 0

3 years ago

Alisha has a $15,000 car loan with a 6 percent interest rate that is compounded annually. How much will she have paid at the end

Harlamova29_29 [7]

6 percent intrest per year for 5 years I think is the same as 30 percent for 5 years
so $15,000 x .3 is $4500
$15,000 + $4500 = $19,500
not 100 percent sure if this is correct but I think its right.
Sorry if I am wrong not 100% sure.

8 0

3 years ago

If y varies inversely with x, and y=8 when x=10 find x when y=4

lana66690 [7]

Answer:

x = 4

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition y = 8 when x = 10

k = yx = 8 × 10 = 80

y = $\frac{80}{x}$ ← equation of variation

When y = 4, then

4 = $\frac{80}{x}$ ( multiply both sides by x )

4x = 80 ( divide both sides by 4 )

x = 20

7 0

4 years ago