A jet travels 5192 miles against a jetstream in 8 hours and 6072 miles with the jetstream in the same amount of time. What
is the rate of the jet in still air and what is the rate of the jetstream?

Answer:

a. 0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. 0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. 0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean:

[tex]\mu = 47[/tex]

(95% of data) range from 19 to 75 beats per minute.

This means that between 19 and 75, by the Empirical Rule, there are 4 standard deviations. So

[tex]4\sigma = 75 - 19[/tex]

[tex]4\sigma = 56[/tex]

[tex]\sigma = \frac{56}{4} = 14[/tex]

a. What is the probability that the heart rate is less than 25 beats per minute?

This is the p-value of Z when X = 25. So

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

[tex]Z = \frac{25 - 47}{14}[/tex]

[tex]Z = -1.57[/tex]

[tex]Z = -1.57[/tex] has a p-value of 0.0582.

0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. What is the probability that the heart rate is greater than 60 beats per minute?

This is 1 subtracted by the p-value of Z when X = 60. So

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

[tex]Z = \frac{60 - 47}{14}[/tex]

[tex]Z = 0.93[/tex]

[tex]Z = 0.93[/tex] has a p-value of 0.8238.

1 - 0.8238 = 0.1762

0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. What is the probability that the heart rate is between 25 and 60 beats per minute?

This is the p-value of Z when X = 60 subtracted by the p-value of Z when X = 25. From the previous two items, we have these two p-values. So

0.8238 - 0.0582 = 0.7656

0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Answer: $5,769.43

Step-by-step explanation:

For us to get the value of the total deposit, we have to add all the deposits together whether they're cash deposits or check deposit. This will be:

= $104.00 + $7.64 + $83.29 + $257.77, $1,332.68 + $3,984.05

= $5,769.43

Therefore, the total deposit is $5,769.43

Answer:

b, c, a

Step-by-step explanation:

In a triangle, the largest angle is opposite the longest side. The smallest angle is opposite the shortest side.

This triangle has 2 given angles, 50° and 60°.

We can find the measure of the third angle, x.

50 + 60 + x = 180

x + 110 = 180

x = 70

The three angles have measures 50°, 60°, and 70°.

The shortest side is opposite the smallest angle. That is side a.

The longest side is opposite the largest angle. That is side b.

The order from longest to shortest is

b, c, a

Answer:

D is your answer.

Step-by-step explanation:

hope you get  it right.

⭐❤

Answer:

B-100 If the price of tacos is $1.75, th consumers will buy 100 tacos

Answer:

D) y-4=3/4(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-4)/(-6-2)

m=-6/-8

simplify

m=3/4

y-y1=m(x-x1)

y-4=3/4(x-2)

ANSWER:-

(x²+7)(x+2)

hope it helps

have a nice day

Answer:

2.04 miles per hour

Step-by-step explanation:

Given

Noel

[tex]n_1 =6miles[/tex]

[tex]r_1 = 2mph[/tex]

Casey

[tex]c_1 = 8miles[/tex]

[tex]r_2 =1mph[/tex]

Required

The rate at which the distance increases

Their movement forms a right triangle and the distance between them is the hypotenuse.

At [tex]n_1 =6miles[/tex] and [tex]c_1 = 8miles[/tex]

The distance between them is:

[tex]d_1 = \sqrt{n_1^2 + c_1^2}[/tex]

[tex]d_1 = \sqrt{6^2 + 8^2}[/tex]

[tex]d_1 = \sqrt{100}[/tex]

[tex]d_1 = 10miles[/tex]

After 1 hour, their new position is:

New = Old + Rate * Time

[tex]n_2 = n_1 + r_1 * 1[/tex]

[tex]n_2 = 6 + 2 * 1 = 8[/tex]

And:

[tex]c_2 = c_1 + r_2 * 1[/tex]

[tex]c_2 = 8 + 1 * 1 = 9[/tex]

So, the distance between them is now:

[tex]d_2 = \sqrt{n_2^2 + c_2^2}[/tex]

[tex]d_2 = \sqrt{8^2 + 9^2}[/tex]

[tex]d_2 = \sqrt{145}[/tex]

[tex]d_2 = 12.04[/tex]

The rate of change is:

[tex]\triangle d = d_2 -d_1[/tex]

[tex]\triangle d = 12.04 -10[/tex]

[tex]\triangle d = 2.04[/tex]

Answer:

50

Step-by-step explanation:

Complementary angles mean that the sum of the angles given is 90°. Therefore, as G and H are complementary, this means that G+H=90

G+H=90

(2x+10) + (x+20) = 90

Add values on left side

3x+30=90

Subtract 30 from both sides

3x=60

Divide both sides by 3

x=20

Since we now know the value of x, we can plug that in to G (2x+10) to get 2(20)+10 = 50 = G

Step-by-step explanation:

[tex] \frac{2}{3} \times \frac{99}{1} = 66 \: kg[/tex]

Answer:

x =42

Step-by-step explanation:

x and 138 are same side interior angles.  Same side interior angles are supplementary when the lines are parallel

x+138 = 180

x = 180-138

x =42

Answer:

42°

Step-by-step explanation:

138° + x = 180°

180° - 138° = 42°

Answer:

6 * 5 * 4 * 3 * 2 * 1, i.e. 6! or 720. Of course, since both sets have the same number of elements, you can't have one-to-one without being onto, aka a surjection, so “one to one correspondence” is the right term (or bijection—merci, M.

Step-by-step explanation:

mark me as BRAINLIEST

follow me

carry on learning

100%sure

Answer: 2 and 3

Step-by-step explanation:

its numbers

Answer:

20/4

Step-by-step explanation:

Because that would mean 20 divided by 4 which wouldn't accumulate to 80

Answer:

R^2

Step-by-step explanation:

The domain for z =x^2-y^2 is R^2 ,where is the set of all real numbers.

Answer:

step 4 I believe

Step-by-step explanation:

Answer:

The campsites can be chosen in 5,765,760 different ways.

Step-by-step explanation:

Given that a group of campers is going to occupy 6 campsites at a campground, and there are 16 campsites from which to choose, to determine in how many ways the campsites can be chosen, the following calculation must be performed:

16 x 15 x 14 x 13 x 12 x 11 = X

240 x 182 x 132 = X

240 x 24,024 = X

5,765,760 = X

Therefore, the campsites can be chosen in 5,765,760 different ways.

Total cost of the pencils is the number of pencils x the price per pencil:

4 x 0.30 = $1.20

Now add what you got back for change:

1.20 + 0.80 = 2.00

You gave the cashier $2.00

Answer:

b

Step-by-step explanation:

From the characteristics of a density curve, option (A), (C), (D) are the correct answers.

A density curve is a graph that shows probability. It is an idealized representation of a distribution in which the area under the curve is defined to be 1.The area under the curve is equal to 100 percent of all probabilities.

For the given situation,

Properties of density curves

• A density curve is always on or above the horizontal axis.

• The area underneath a density curve is exactly 1.

• The area under a density curve and above any range of values is the

relative frequency of all observations that fall in that range.

Hence we can conclude that from the characteristics of a density curve, option (A), (C), (D) are the correct answers.

Learn more about density curve here

https://brainly.com/question/18345488

#SPJ2

Answer:

2.5

Step-by-step explanation:

5/8 ÷ 1/4

Division sign changes to multiplication and the reciprocal of the divisior is used to multiply instead :

5/8 * 4/1

= (5*4) / (8*1)

= 20 / 8

= 2.5

Answer:

80%

Step-by-step explanation:

Because Shirly spelled 12 out 15 correctly, she got a 12/15, which is equal to 4/5 or 80%

Answer:

3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because every rose bush costs $65 and it's charged with a $15 delivery fee.

Answer:

The height is 8 cm

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

72 = 1/2 (18)h

72 = 9h

Divide each side by 9

72/9 = 9h/9

8 = h

The height is 8 cm

Answer:

8cm

Step-by-step explanation:

let y represent height

Area of a triangle=½base×height=72cm²

72cm²=½×18cm×y

72cm²=9cmy

72cm²/9cm=9cmy/9cm

8cm=y

Answer:

A) 84°

Step-by-step explanation:

Since ED=EF=5

then F=D=48°

Then E=180°-48°-48°=84°

Answer:

A. (1-2)

Step-by-step explanation:

I got it right on the exam

-10

thats it, thats what i know