What is the approximate area of the circle shown below

Answer:

0.9955

Step-by-step explanation:

Given :

Mean weight increase , μ = 14

Sample mean weight increase , xbar = 16.3

Standard deviation, s = 5.9

Sample size, n = 45

Hypothesis :

H0 : μ = 14

H1 : μ > 14

The test statistic : (xbar - μ) ÷ (s/sqrt(n))

Test statistic = (16.3 - 14) ÷ (5.9/sqrt(45))

Test statistic = 2.3 / 0.8795200

Test statistic = 2.615

The Pvalue :

P(Z < 2.615) = 0.99554

Hence, pvalue = 0.9955 (4 decimal places).

Answer:

18 11/15

Step-by-step explanation:

This is the answer because:

1) First, find the common denominator: 12 1/3 = 12 5/15 and 6 2/5 = 6 6/15

2) Then add the fractions: 12 5/15 + 6 6/15 = 18 11/15

3) 18 11/15 is reduced to the lowest terms because 11 is a prime number.

Therefore, 18 11/15 is the answer.

Hope this helps! :)

Answer:

52.7

Step-by-step explanation:

121/3= 40.33

62/5= 12.4

40.3+12.4=52.7

plz mark me as brainliest.

Answer:

volume= 186ft

Step-by-step explanation:

Answer:

4:25:6 would be the simplest form

Answer:

You would have spent $4.50

Step-by-step explanation: Divide 100 by 30 and multiply to 15. So it will look like: 30/100*15= $4.50. I hope this helps

Answer:

The answer is 16% I just took the test

Step-by-step explanation:

Answer:

The solution is [tex]x = \frac{1}{2}[/tex]

Step-by-step explanation:

To solve this exponential equation, we must write both sides as powers of 3.

The equation given is:

[tex]3^{7x + 4} = (\frac{1}{27})^{x-3}[/tex]

Since [tex]3^3 = 27[/tex], we have that [tex]3^{-3} = \frac{1}{3^3} = \frac{1}{27}[/tex], so[tex]\frac{1}{27} = 3^{-3}[/tex]

Then

[tex]3^{7x + 4} = (\frac{1}{27})^{x-3}[/tex]

[tex]3^{7x + 4} = (3^{-3})^{x-3}[/tex]

[tex]3^{7x + 4} = 3^{-3(x-3)}[/tex]

[tex]3^{7x + 4} = 3^{-3x + 9}[/tex]

Since both sides are now powers of 3, we can equal them:

[tex]7x + 4 = -3x + 9[/tex]

[tex]10x = 5[/tex]

[tex]x = \frac{5}{10}[/tex]

[tex]x = \frac{1}{2}[/tex]

The solution is [tex]x = \frac{1}{2}[/tex]

Answer:

when you calculate the value of w is z= 5

Step-by-step explanation:

Answer:

from 10 - 15 bikes

Step-by-step explanation:

Answer:

i can only say that you should use this forumla, the sins law

sin(a)/A = sin(b)/B = sin(c)/C

Step-by-step explanation:

Answer:

Arithmetic

Step-by-step explanation:

Arithmetic is additive and geometric is multiplicative, and the numbers aren''t multiplying, they're adding.

Answer:

H ≤ 125

Step-by-step explanation:

The coach can order 12 hats

Solution :

Class           Frequency  Class boundaries     Mid        Relative       Cumulative

                                                                         point      frequency    frequency

1132-1191          5              1131.5-1191.5           1161.5       0.2381          5

1192-1251         3               1191.5-1251.5          1221.5      0.1428          8

1252-1311         2               1251.5-1311.5          1281.5      0.0952         10

1312-1371         5               1311.5-1371.5          1341.5       0.2381          15

1371-1431         4                1371.5-1431.5         1401.5      0.1905           19

1432-1491        2               1431.5-1491.5          1416.5      0.0952         21

Total               21

Therefore, the lower class boundary for the sixth class is 1431.5

Answer:

21

Step-by-step explanation:

1132-1191          5              1131.5-1191.5           1161.5       0.2381          5

1192-1251         3               1191.5-1251.5          1221.5      0.1428          8

1252-1311         2               1251.5-1311.5          1281.5      0.0952         10

1312-1371         5               1311.5-1371.5          1341.5       0.2381          15

1371-1431         4                1371.5-1431.5         1401.5      0.1905           19

1432-1491        2               1431.5-1491.5          1416.5      0.0952         21

please say i'm right

Answer:

Step-by-step explanation:

Remark

I don't think you need the quadratic formula for this equation. It just factors into (b - 2)(b - 2), but I'll do it because you requested it.

Formula

[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}[/tex]

Givens

a = 1

b = - 4

c = 4

Solution

x = - - 4 +/- sqrt((-4^2) - 4*1*4)

       ====================

                   2*1

x = 4 +/- sqrt (16 - 16)

          ==========

              2

x = 4/2

x = 2

There are 2 roots but both of them are the same. Some teachers say there is only 1 root. I'm in that group.

Polygon: "a plane figure with at least three straight sides and angles, and typically five or more."

1. P

2. NP

3. P

4. NP

5. P

"A planar polygon is convex if it contains all the line segments connecting any pair of its points."

1. C

2. NC

3. NC

4. C

5. NC

Answer:

A- point A

Step-by-step explanation:

Absolute value doesnt care about the sign so a negative is a positive.

PLease Brainliest

Answer:

26

Step-by-step explanation:

Answer:

500 feet below sea level

Step-by-step explanation:

You would take 2,500 and subtract 3,000 feet giving you an answer of -500 feet. Which means it is 500 feet below sea level

Answer:

0.5188 = 51.88% probability of obtaining a difference between sample means of 110 mg or more

Step-by-step explanation:

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

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.

Subtraction of normal sample means:

When we subtract two distribution of the sample means, which are normal, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of standard errors squared.

Sample size of 55 men with mean 785 and standard deviation 489

This means that:

[tex]\mu_A = 785[/tex]

[tex]s_A = \frac{489}{\sqrt{55}} = 65.9367[/tex]

Sample size of 40 women with mean 670 and standard deviation of 419

This means that:

[tex]\mu_B = 670[/tex]

[tex]s_B = \frac{419}{\sqrt{40}} = 66.2497[/tex]

Difference between sample means:

The mean and the standard deviation are, respectively:

[tex]\mu = \mu_A - \mu_B = 785 - 670 = 115[/tex]

[tex]\sigma = \sqrt{s_A^2+s_B^2} = \sqrt{65.9367^2+66.2497^2} = 93.47[/tex]

What is the probability of obtaining a difference between sample means of 110 mg or more?

This is 1 subtracted by the pvalue of Z when X = 110. So

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

[tex]Z = \frac{110 - 115}{93.47}[/tex]

[tex]Z = -0.053[/tex]

[tex]Z = -0.053[/tex] has a pvalue of 0.4812.

1 - 0.4812 = 0.5188

0.5188 = 51.88% probability of obtaining a difference between sample means of 110 mg or more

Answer:

26 and 126

Step-by-step explanation:

hope this helps:))))

Answer:

Step-by-step explanation:

vbh th78g its a

Option C is correct. The law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

For a triangle, ABC with sides a, b, and c respectively, the law of cosines is used on such a triangle if there is a presence of an angle between any two sides.

[tex]c^2 = a^2 + b^2 + 2ab cos C[/tex]

Hence the law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

Learn more here: https://brainly.com/question/20880990

Answer:

A four one quarter

Step-by-step explanation:

Answer:

c. PROPOSITION ONE is false and PROPOSITION TWO is true

Step-by-step explanation:

In this question, we have that:

pvalue of 0.058

Significance level of 0.05

The pvalue is larger than the significance level, which means that there is no statistically significant association(Propostion One is false), and the null hypothesis is not rejected, that is, it is proved, so Proposition Two is true.

This means that the correct answer is given by option C.

Answer: 90 degrees to 120

Step-by-step explanation:

The probability of a temperature from 90 degrees to 120 degrees.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Experiment: A trial or an operation conducted to produce an outcome is called an experiment.

Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.

Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).

Trial: A trial denotes doing a random experiment.

Given:

Temperatures from 60 degrees to 160 degrees.

As, per the situation the probability will lie between 60 degree to 160 degree.

Hence, The probability of a temperature from 90 degrees to 120 degrees.

Learn more about probability here:

https://brainly.com/question/11234923

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Answer:

y = 470 - 50x

Step-by-step explanation:

Total distance minus the distance covered in n number of hours if the speed is 50 mph.

Answer:

He needs 92 on his last test.

Step-by-step explanation:

Mean score:

The mean is the sum of all scores divided by the number of tests.

In this question:

Scores of 85, 89, 85, 89 and x(the last one).

5 tests.

We want a mean of 88. So we find x for a mean of 88.

[tex]\frac{85 + 89 + 85 + 89 + x}{5} = 88[/tex]

[tex]348 + x = 440[/tex]

[tex]x = 440 - 348 = 92[/tex]

He needs 92 on his last test.