Three more than four times the difference of x and 2 is 36

Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then

P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)

… = P(-0.32 < Z < 0.32)

… = P(Z < 0.32) - P(Z < -0.32)

… ≈ 0.6255 - 0.3745

… ≈ 0.2510

where Z is normally distributed with mean 0 and s.d. 1.

• • •

Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,

[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]

Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.

The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have

P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))

… = P(-1.6 < Z < 1.6)

… = P(Z < 1.6) - P(Z < -1.6)

… ≈ 0.9452 - 0.0548

… ≈ 0.8904

Answer:

Maybe write a quick story on a group of adventurers who met at a mansion party to wait for an ancient map to arrive.

I can’t believe this is where I would end up: pretending to be a dog in an improv club. I glanced at Arnold. “You’re doing great. She’s gotta recognize you now!” he whispered, kneeling next to me. I sneak a glance towards the top of the staircase. “Such a lovely sight. A woman in red.” I thought. “Thomas! Thomas, come here!” I hear my name called from above. I smiled to myself, “Success.”

It’s probably a little bit more than 8 sentences and is not the greatest but is something

Answer:

15.36mm

Step-by-step explanation:

The area of a triangle can be defined as B x H or L x H,

In your case, I'm assuming you meant base as length, so just plug into the equation:

L x H = 420.92mm2

27.4 x H = 420.92

H = 15.36

If you want to be exact, it is 15.3620438

The required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.

The base of a rectangle is 27.4 mm.
The area is 420.92 mm2.
What is the height of the rectangle is to be determined.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°. Beside of square its pair of opposide sides are named as length and width sometimes base and height according to the mentions.

The area of a rectangle is a product of is two adjacent sides i.e. length * width

Area of the rectangle = height * base
420.92 = 27.4 * height
height = 420.92/27.4
height = 15.36

Thus, the required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.

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Answer:

C

Step-by-step explanation:

it is -25x    X= each time he goes rock climbing

Answer:

10 - 15%

Step-by-step explanation:

Just guessing

Answer:

207,314

Step-by-step explanation:

V = πr2h =π  · 52·3 ≈ 235.61945 m^3

because 1m^3 = 1000 L, (27,535 / 1000) = the amount of added water in m^3. As this is equal to 27.535, we can substract this from 235.62.

235.62 - 27.535  is about 208.085, or 207.314 because of rounding. As this is in m^3, we multiply by liters to arrive at the answer of 207,314, or option D.

Answer:

He is 9.9 miles far from his starting point.

Answer: $6.96

Step-by-step explanation:

To find out what 8% of $87 is, you have to convert the 8% into decimal form which is 0.08. Then you have to multiply  that by $87

87*0.08 = 6.96

Now, we know $6.96 is 8% of $87 which is how much she will be paying in tax

Answer:

The vehicle can drive 450 miles.

Step-by-step explanation:

You must find how many miles the car goes on one gallon, so since 300÷20= 15, you then know that the car can travel 15 miles per gallon. Therefore, you must do 15 x 30 to get 450 miles.

Answer:

450 miles

Step-by-step explanation:

By 20 gallons,the car travels 300 miles

by 1 gallon, car travels 300÷ 20 miles

By 30 Gallons, car travels: (300÷20 )×30

450miles

Answer:

3/2

Step-by-step explanation:

MNOP to ABCD: The answer has to be greater than one because ABCD increases in size from MNOP.

To get the scale factor you have to compare the sides.

Line AD = 6 in.

Line MP = 4 in.

6/4 = 3/2

Answer:

20%

Step-by-step explanation:

You do 3 divided by 15 which is 0.2, or 20 percent.

Answer:

Step-by-step explanation:

distributive property

Answer: f(-3)=(-3)^2

f(-3)=9

the answer is C

Step-by-step explanation:

Answer:

x = 36

Step-by-step explanation:

x/4 = 9

multiply both sides by 4

x/4 (4) = 9(4)

x = 36

The answer is x = 36

We can check by plugging in x = 36 to the original equation:

x/4 = 9

(36)/4 = 9

9 = 9

Correct

:

The percent increase is found by finding the difference between the two prices and then dividing that different by the beginning price.

For this example it would be 65-39= $26. So $26/$39(the starting price) is 0.666... This is equivalent to about 66.67%. So, the price of the card increased by about 66.67%

Answer:

66.7%

Step-by-step explanation:

the value increased by 26

percentage increase =increase /initial value ×100

=26/39×100=66.7%

Answer:

Trinomial

Step-by-step explanation:

Traditionally, an expression consisting of 3 terms is called a Trinomial. For example : 3x + 4y -z, 5xy + 4yz + 4 ,a + b –c. And an expression consisting of more than 3 terms is called Polynomial.

hope this helps:)

Answer:  An algebraic expression that contains three terms is called trinomial

Hope this helps!

Answer:

809 km²

Step-by-step explanation:

I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)

(25 * 17) + (24 * 13) + (6 * 12) {17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}

425 + (24 * 13) + (6 * 12) {24 by 13 is 312.}

425 + 312 + (6 * 12) {6 by 12 is 72.}

425 + 312 + 72 {From left to right, add 425, 312, and 72 to get 809}

737 + 72

809 km²

The area of this figure is 809 km².

Answer:

13

Step-by-step explanation:

Since -5 is less than zero, we use the second equation, and substitute the -5 in for the x.

-2(-5)+3=13

Answer:

4,391

Step-by-step explanation:

next time use a caculator luv <3

Answer:

4,391

Step-by-step explanation:

You can start of by multiply 100's by 2 and keep going until you get close to 8,782 then start going down some numbers till you get 8,782.

The experimental probability that Jason will roll a 2 is 3/14.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, Jason rolls the die 14 times.

From the given table,

Number of favorable outcomes = 3

Total number of outcomes = 14

So, the probability = 3/14

Therefore, the experimental probability that Jason will roll a 2 is 3/14.

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Answer:

If I did my math correctly, I'm pretty sure the answer is 3 1/36 yards.

Step-by-step explanation:

1. First, you have to turn them all into an improper fraction.

1 7/18 becomes 25/18

1 2/9 becomes 11/9

5/12 remains the same as it's already an improper fraction.

2. Find a common denominator, which is 36

25/18 becomes 50/36

11/9 becomes 44/36

5/12 becomes 15/36

3. Add them all together and you get 109/36

4. Turn it into a mixed number, and in this case, is 3 1/36

Solution is 3 1/36

Answer:

3 1/36

Step-by-step explanation:

Answer:

18cm^2

Step-by-step explanation:

The computation of the area of the shaded region is shown below:

But before that the x value is

x ÷ 8 = (x+2) ÷ 10

10x = 8x + 16

10x - 8x = 16

2x = 16

x = 8

Now as we know that

Area = base ×  height

= 2cm × 8cm

= 16cm²

Now for small triangle

Area  = 1 ÷  2(base)(height)

= 1 ÷ 2 × (2)(2)

=4 ÷ 2

A = 2cm²

Now the total area of the shaded region is

= 16cm^2 + 2cm^2

= 18cm^2

Answer:

uh

Step-by-step explanation:

bubuoin ba ng salita yan