I’ll give you Brainliest

A group of friends wants to go to the amusement park. They have no more than $235 to spend on parking and admission. Parking is

STALIN [3.7K]

228/28.50= 8 that should be right!

3 0

3 years ago

Bonus question ! <br> If you answer something dumb I'll report you .

Liono4ka [1.6K]

Hello,
We know that
1/Angle 1= Angle 6= Angle 9= Angle 14=Angle 3= Angle 8= Angle 11= Angle 16

2/Angle 2= Angle 5= Angle 10= Angle 13= Angle 4=Angle 7=Angle 12= Angle 15

Check:
Option A:
Angle 2= Angle 7
Parallel
Option B:
Angle 3= Angle 11
Parallel

Option C:
Angle 1= Angle 12
None

Option D:
Angle 13= Angle 12
Parallel

Option E:
Angle 6 angle 7 are supplementary; supplementary means that both angles add up together to get 180°. To help you understand clearly, you see that when the two angle on the same line like angle 5 and 6, angle 1 and 5. However, for this one it will be False because both angle are obtuse which more than 90°. Hope it help!

4 0

3 years ago

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SAT scores are normed so that, in any year, the mean of the verbal or math test should be 500 and the standard deviation 100. as

vovangra [49]

Answer:

a) $P(X>625)=P(\frac{X-\mu}{\sigma}>\frac{625-\mu}{\sigma})=P(Z>\frac{625-500}{100})=P(Z>1.25)$

$P(Z>1.25)=1-P(Z$

b) $P(400$

$P(-1$

c) $z=-0.842$

And if we solve for a we got

$a=500 -0.842*100=415.8$

So the value of height that separates the bottom 20% of data from the top 80% is 415.8.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the SAT scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(500,100)$

Where $\mu=500$ and $\sigma=100$

We are interested on this probability

$P(X>625)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(X>625)=P(\frac{X-\mu}{\sigma}>\frac{625-\mu}{\sigma})=P(Z>\frac{625-500}{100})=P(Z>1.25)$

And we can find this probability using the complement rule and with the normal standard table or excel:

$P(Z>1.25)=1-P(Z$

Part b

We are interested on this probability

$P(400$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(400$

And we can find this probability with this difference:

$P(-1$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-1$

Part c

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.8$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.2 of the area on the left and 0.8 of the area on the right it's z=-0.842. On this case P(Z<-0.842)=0.2 and P(Z>-0.842)=0.8

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-0.842$

And if we solve for a we got

$a=500 -0.842*100=415.8$

So the value of height that separates the bottom 20% of data from the top 80% is 415.8.

8 0

3 years ago

Water flows through a pipe at a rate of 710 pints per day. Express this rate of flow in cubic feet per month. Round your answer

Snowcat [4.5K]

Answer:

356 ft³ per month.

Step-by-step explanation:

From the question,

Water flows at a rate of 710 pints per day.

We shall convert 710 pints to cubic feet (ft³).

This can be obtained as follow:

1 pint = 0.0167 ft³

Therefore,

710 pints = 710 × 0.0167 = 11.857 ft³

From the calculations made above, 710 pints is equivalent to 11.857 ft³.

Thus, we can say that water flows at a rate of 11.857 ft³ per day.

Finally, we shall determine the rate of flow of water in cubic feet per month.

Note: there are 30 days in a month.

Water flow at a rate of 11.857 ft³ per day.

Therefore, the rate of flow of water in 30 days will be = 30 × 11.857 ft³ = 356 ft³

Thus, the flow rate of water is 356 ft³ per month.

3 0

3 years ago

Lara and Tim took different routes to travel from Point A to Point C. Lara took the route along A, B, and C. Tim took the route

GalinKa [24]

Answer:

Tim is a shorter route lara is greater!

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers