X 6.4.5-T
Qu
Assume that females have puhe rates that are normally distributed with a mean of 76.0 beats per minute and a standard deviation of a 12.5beato per minuto Complete parts (a) through (c) below
att hittemate is randamg selected to the probability that her pulse rate is less than 79 beats per minute
The pobavity
(Round to four decimal places as needed)

Answer:

7 :ans is 10

8: ans is 25

9: ans is 46

Answer:

No  If it would be 10 percent of the total would be the price tag without tax

Step-by-step explanation:

Answer:

B. [tex] \frac{9}{20}\pi [/tex]

Step-by-step explanation:

Central angle [tex] \theta = 81\degree [/tex]

Radius (r) = 1 unit

[tex] l(\widehat {HJ}) = \frac{\theta}{360\degree} \times 2\pi r[/tex]

[tex] l(\widehat {HJ}) = \frac{81\degree}{360\degree} \times 2\pi r[/tex]

[tex] l(\widehat {HJ}) = \frac{81}{360} \times 2\pi (1)[/tex]

[tex] l(\widehat {HJ}) = \frac{9}{40} \times 2\pi [/tex]

[tex] l(\widehat {HJ}) = \frac{9}{20}\pi [/tex]

Answer:

1) r = 32

2) symbol is '÷'

3) h = 15/19

Step-by-step explanation:

Answer:

The mean until the supplement is published is 140 months, while the standard deviation is of 11.8 months.

Step-by-step explanation:

The Poisson distribution is used to solve this question, as we have only the mean. In this distribution, the standard deviation is the square root of the mean.

In this question, we have that:

Species are discovered at a rate of once every 7 months.

A supplement to a guide is planned to be published after 20 new species have been discovered.

a) What are the expected value and standard deviation of the number of months (treated as a continuous measure of time) until the supplement is published?

Mean is: 7*20 = 140 months.

Standard deviation is [tex]\sqrt{140}[/tex] = 11.8 months.

The mean until the supplement is published is 140 months, while the standard deviation is of 11.8 months.

Answer:

68.75 feet tall

Step-by-step explanation:

Create a proportion where x is the height of the flagpole

[tex]\frac{x}{50}[/tex] = [tex]\frac{5.5}{4}[/tex]

Cross multiply and solve for x

4x = 275

x = 68.75

So, the flagpole is 68.75 feet tall

Answer:

M = number of markers in a pack

8M = 54 + 10

solution:

8M = 64

M = 8 markers per pack

Answer:

wth is this

show the pic of the question

Answer:

3. m<4=101°

4. sum of angle on a straight line

5. m<8= 101°

6.m<3=180-101°

=79°

7.sum =180°

8. alternate angles

9. and m<8

10. 180°

Answer:

3.

m<1=79°

m<4=180-79°=101°(linear pair)

4.

<7+<8=180°(straight line)

5.

m<6=101

m<8=101°[vertically opposite angle]

6.

m<3=180-101=79°

7.

180°

8.

alternate angle

9.

and <8

10.

180°

Answer:

C

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

.

Answer:

19

Step-by-step explanation:

9 + 10 = 19

Answer:

The circumference is 45.2yd

Step-by-step explanation:

Given

[tex]d = 14.4[/tex] --- diameter

Required

Determine the circumference

The circumference is calculated as:

[tex]C =\pi d[/tex]

So, we have:

[tex]C =\pi * 14.4[/tex]

Take pi a 3.14

[tex]C =3.14 * 14.4[/tex]

[tex]C =45.216[/tex]

Approximate

[tex]C =45.2yd[/tex]

The dot plot is missing, so i have attached it.

Answer:

B: there are about 2 more students in each class at Oak Middle School than at Poplar Middle School.

Step-by-step explanation:

From the dot plot attached, we can find the average number of students per class for each school.

For Poplar Middle School;

Total number of students = (20 × 3) + (21 × 5) + (22 × 7) + (23 × 4) + (24 × 1) = 435 students.

There are 20 classes.

Thus;

average number of students per class = 435/20 = 21.75

For Oak Middle School;

Total number of students = (20 × 1) + (21 × 2) + (22 × 2) + (23 × 4) + (24 × 3) + (25 × 2) + (26 × 2) + (27 × 2) + (28 × 1) + (29 × 1) = 483

Average number of students per class ; 483/20 = 24.15

Difference in average = 24.15 - 21.75 = 2.40

This implies that there are about 2 more students in each class at Oak Middle School than at Poplar Middle School.

Answer:

da answer is B lesss goooo

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

The side opposite angle E is side e (DF)

The side adjacent to angle E is side d (EF)

The hypotenuse is side f (ED)

Answer:

All I got is this I'm sorry

Step-by-step explanation:

Exact form -13/3

Decimal form -4.3

Mixed -4 1/3

Answer:

72.2566311

Step-by-step explanation:

Circumference = 2πr

We don't have the radius, but we do know that half of the diameter is the radius, so 23/2 = 11.5. r = 11.5

Now, plug the radius into the equation:

2π(11.5)

Solve:

2π(11.5) = 72.2566311

Answer:

Yes, but a diagonal of the rectangle must be a diameter of the circle.

This is because a rectangle is made up of two right triangles.

Answer:

Monday=275

Tuesday=330

thursday=360

Friday=440

Step-by-step explanation:

Add the entire number to itself since its above 100%

then figure out 10% of the number for  monday is 12.5 thats only ten so we gotta figure out 20% so 12.5x2=25

Hence its 125+125+25

250+25

275

This is for monday but this applies on all of them

Answer:

The 95% confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt is (45%, 51%). This means that we are 95% sure that the true proportion of all registered voters  who are in favor of raising income taxes to pay down the national debt is between these two values, of 45% and 51%.

Step-by-step explanation:

A confidence interval is the sample proportion plus/minus the margin of error.

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

Sample proportion of 48%.

Suppose the agency states the margin of error for 95​% confidence is 3.0​%. Determine and interpret the confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

48% - 3% = 45%

48% + 3% = 51%

The 95% confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt is (45%, 51%). This means that we are 95% sure that the true proportion of all registered voters  who are in favor of raising income taxes to pay down the national debt is between these two values, of 45% and 51%.

Answer:

The ratio of 8:5 = 160%

Step-by-step explanation:

1. Divide the first number by the second number

2. Multiply by 100 to convert to a percentage

Answer:

+/- 2 both work.

Step-by-step explanation:

Remark

To make sure they are even, you need to use 2x and 2x + 2

Equation

2x (2x + 2) = 2x + 2x + 2 + 14      Combine like terms on the right

Solution

2x(2x + 2) = 4x  + 16                    Remove the brackets

4x^2 + 4x  = 4x + 16                    Subtract 4x from both sides.

          -4x    -4x

4x^2  = 16                                   Divide by 4

x^2 = 16/4

x^2 = 4                                        Take the square root of both sides

x = +/- 2

Question

Does - 2 work?

2(-2)(-2*2 + 2) = 4(-2)+2 + 14

-4(-4 + 2) = - 8 +2+ 14

-4( - 2) = - 8 + 2+ 14

8 = 8

Yes it does

I'm no math braniac, however, I believe the answers are 2 cups; 2/3 cups, 15/2 cups; 2 1/2 cups, and 2/12 cups; 5/6 cups.

I really hope its correct and good luck on your test!

Answer:

0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

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].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Suppose the mean fill for the shipment is actually 50 gallons. Standard deviation of 0.6 gallons.

This means that [tex]\mu = 50, \sigma = 0.6[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{0.6}{\sqrt{100}} = 0.06[/tex]

What is the probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons?

This is the pvalue of Z when X = 50.12 subtracted by the pvalue of Z when X = 49.88. So

X = 50.12

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

By the Central Limit Theorem

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

[tex]Z = \frac{50.12 - 50}{0.06}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

X = 49.88

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

[tex]Z = \frac{49.88 - 50}{0.06}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.

Answer:

(C)

Step-by-step explanation:

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Answer:

The researcher needs 20 milliliters of 11 percent concentrated acid and 10 milliliters of 2 percent concentrated acid.

Step-by-step explanation:

Given that a researcher wants a 30 milliliter acid solution with a concentration of 8%, and she has concentrations of 2% and 11%, to determine how much of each solution must she use to get the desired concentration, the following calculation must be performed:

100 x 0.11 + 0 x 0.02 = 11

90 x 0.11 + 10 x 0.02 = 10.1

80 x 0.11 + 20 x 0.02 = 9.2

70 x 0.11 + 30 x 0.02 = 8.3

66.666 x 0.11 + 33.333 x 0.02 = 8

30 x 0.6666 = 20

Therefore, the researcher needs 20 milliliters of 11 percent concentrated acid and 10 milliliters of 2 percent concentrated acid.