which expression is equivalent to - 3(m+5) ?
A m - 15
B - 3m + 5
C -3m - 15
D - 15m

Answer:

yes

Step-by-step explanation:

Yes it is, assuming we decide to use the Pythagorean Theorem to find the hypotenuse (10) it'll be possible considering the formula is c²=√a²+b²

(c being the longest side of the triangle)

a= 6 and b= 8

Answer:

±8√2

Step-by-step explanation:

Answer:

212.5

Step-by-step explanation:

a=b*h/2

b=25

h=17

25*17 =425

425/2=212.5

a=212.5

Answer:

The standard deviation of the comparison distribution is 0.5657.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question:

Standard deviation of the population is 8, sample of 200. So

[tex]s = \frac{8}{\sqrt{200}} = 0.5657[/tex]

The standard deviation of the comparison distribution is 0.5657.

Answer:

The area of the rectangle? If so it's 240.

Answer:

339.24

Step-by-step explanation:

To find the surface area, you will need to the the area of the base of the cylinder. To do that, use the formula A=pi (r)^2

The radius is half the diameter do r=3

3.14(3)^2 should give you about 28.27.

This is the area of the top and bottom of the cylinder.

Now, do 28.27x10=282.7 to find the height surface area.

282.7+28.27+28.27=Surface area.

SA= about 339.24

Answer:

$49.8225

Step-by-step explanation:

9.5%=0.095

45.50*0.095=4.3225

45.50+4.3225=49.8225

9514 1404 393

Answer:

Step-by-step explanation:

Angles BGC and FGE share vertex G and are composed of opposite rays. This makes them vertical angles.

Angle BGC and CGD make up a right angle, so they are complementary. That makes angle BGC equal to 90° -40° = 50°.

Vertical angles have the same measure, so ∠FGE = 50°.

Answer:

x^(4/21)

Step-by-step explanation:

2(lb+bh+hl)

2(6×3+3×4+4×6)

2(18+12+24)

2(54)

108cm^2

Answer:

108cm2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

for every input there's one output

Answer: 4/15

Step-by-step explanation:

1/3+2/5 change it to 5/15+6/15=11/15 4/15 left of the lawn

9514 1404 393

Answer:

  360°

Step-by-step explanation:

The sum of exterior angles of any convex polygon is 360°.

__

You can see this if you draw each external angle, then reduce the side lengths of the polygon to zero. You will see that the angles add up to one full turn, or 360°.

Answer:1/400

Step-by-step explanation:

because you have to add

Answer:

x = 7

Step-by-step explanation:

Distribute the 2 on the right and the -1 on the left: 13 - 2x - 2 = 2x + 4 + 3x

Combine like terms on each side of the equation: 11 - 2x = 5x + 4

Add 2x to both sides, and subtract 4 from each side: 7 = 7x

Divide both sides by 7: x = 7

Answer:

7.5

Step-by-step explanation:

5/(2/3) = 7.5

The answer could be either

C or B

Answer:

D) 5

Step-by-step explanation:

-12 + 8 + 9 = 5

Answer:

x = 25°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°

The given triangle is a right triangle which means one of its angle has a measure of 90°

since thd other angle is given as 65 to calculate x we just add the given measures and subtract it from 180

90° + 65 + x = 180

155 + x = 180 subtract 155 from both sides

x = 25°

Answer:

0.2333 = 23.33% probability this student's score will be at least 2100.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, and conditional probability.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

SAT scores (out of 2400) are distributed normally with a mean of 1490 and a standard deviation of 295.

This means that [tex]\mu = 1490, \sigma = 295[/tex]

In this question:

Event A: Student was recognized.

Event B: Student scored at least 2100.

Probability of a student being recognized:

Probability of scoring at least 1900, which is 1 subtracted by the pvalue of Z when X = 1900. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1900 - 1490}{295}[/tex]

[tex]Z = 1.39[/tex]

[tex]Z = 1.39[/tex] has a pvalue of 0.9177

1 - 0.9177 = 0.0823

This means that [tex]P(A) = 0.0823[/tex]

Probability of a student being recognized and scoring at least 2100:

Intersection between at least 1900 and at least 2100 is at least 2100, so this is 1 subtracted by the pvalue of Z when X = 2100.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2100 - 1490}{295}[/tex]

[tex]Z = 2.07[/tex]

[tex]Z = 2.07[/tex] has a pvalue of 0.9808

This means that [tex]P(A \cap B) = 1 - 0.9808 = 0.0192[/tex]

What is the probability this student's score will be at least 2100?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0192}{0.0823} = 0.2333[/tex]

0.2333 = 23.33% probability this student's score will be at least 2100.

10 miles in feet is 52800ft.

1 mile in feet is 5280 and when multiplying by 10, you usually just add a zero at the end of the number which makes 5280 turn into 52800!

If this is incorrect please don't refrain to tell me and I'll correct my answer. Thank you.

Answer:

i dont know im so sorry

Step-by-step explanation:

i hope u find ur answer

Answer:

Step-by-step explanation:

65

Answer:  60

Step-by-step explanation: you have to do the base X height which is 12 x 10 and that gets you 120. Then you have to divide that by 2 and it will get you 60 :)

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You multiply each number, so: 10 x 12 x 13

Which gives you the conclusion of 1560.

Hope this helped, love! ☆ ☆ ☆

Answer:

5,270

Step-by-step explanation:

155,000 x 3.4%

Answer:

5270

Step-by-step explanation:

multiply 155,000 by 3.4 and then divide it by 100

155,000 x 3.4=527,000

527,00 divided by 100 = 5270

Answer: D. Park B showed faster growth between 2009 and 2014, at an average rate of 120 swallows per year.

Step-by-step explanation:

I did the math

The Park B showed faster growth between 2009 and 2014, at an average rate of 100 swallows per year i.e. option A.

The average rate is defined as a measure of how much the function changed per unit, on average, over that interval.

We have,

x is time, in years, since 2005,

and,

f(c) is population in hundreds.

Now,

For Park A,

at x = 4 ,

Swallows Population = 2370

and,

at x = 9,

Swallows Population = 2870

So,

Average Rate [tex]=\frac{2870 - 2370}{10} = 50[/tex]

Now,

For Park B,

at x = 4,

Swallows Population = 2200

and,

at x = 9,

Swallows Population = 2800

So,

Average Rate [tex]=\frac{2800- 2200}{10} = 60[/tex]

So,

Difference in average rate = 60 - 50 = 10

From the average rate of of both park A and Park B,

We can see that,

Park B has faster growth rate of 100 per year.

Hence, we can say that the Park B showed faster growth between 2009 and 2014, at an average rate of 100 swallows per year i.e. option A.

To know more about average rate click here

https://brainly.com/question/23715190

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Answer:

Step-by-step explan

21

Answer: Half the students weighed less than 7 pounds, 5 ounces, and half the students weighed more.

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.68hr(28.9mi/hr)=19.652mi

Answer:

3725 infected people in 10 days

Step-by-step explanation:

that is the answer