The ratio of strawberries to bananas in a smoothie recipe are shown in the graph below.

Which table shows the same data?

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:

19

Step-by-step explanation:

9 + 10 = 19

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.

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:

6=101°{alternet exterior angle}

hope it helps.

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:

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:

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:

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:

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:

(C)

Step-by-step explanation:

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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:

Accrued Amount: 10955.51, Total Interest: 2455.51

Step-by-step explanation:

A = P(1+r/n)nt

CI = A-P

Where,

CI = Compounded interest

A = Final amount

P = Principal

t = Time period in years

n = Number of compounding periods per year

r = Interest rate

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°

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:

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:4

Step-by-step explanation:

Just did this question

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:

1/4

Step-by-step explanation:

.

Answer:

wth is this

show the pic of the question

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]

Answer:

C

Step-by-step explanation:

Answer:

7 :ans is 10

8: ans is 25

9: ans is 46

Answer:

When you are graphing inequalities you know if it's an open circle or closed circle because when the dot is closed it means that the inequality includes the number and when it's open it does not include the number in the inequality.

Step-by-step explanation:

I'm sorry if this isn't the best answer I tried my best:))

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:

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

Step-by-step explanation: