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3 years ago

HELP PLEASE!!! I need to find the radius, diameter, circumference, and the area of 10in

Mathematics

2 answers:

Trava [24]3 years ago

8 0

Answer:

Radius = 10 in

Diameter = 2×10 = 20 in

Circumference = 2πr = 2×3.14×10 = 62.80 in

Area = πr² = 3.14×10×10 = 314 sq. in

kotegsom [21]3 years ago

5 0

Answer:

the radius is 10

the diameter is 20

the circumfrence is 62.8

the area is 314

Hope this helps.

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The variables xx and yy vary directly. use the values to find the constant of proportionality, kk. then write an equation that r

Sergeu [11.5K]

Direct variation means that changes in x will result to changes in y. If x increase, y also increases and vice versa.

y = kx
k = y / x

y = 45 ; x = 40

k = 45/40
k = 1.125

y = 1.125x

y will increase by 1.125 interval of x.

5 0

3 years ago

Read 2 more answers

You roll a fair 6-sided die.what is P(roll a 2)?

Anton [14]

Answer:

it would be 1/6 there are a possible of 6 outcomes

Step-by-step explanation:

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3 years ago

The mean of a population is 74 and the standard deviation is 15. The shape of the population is unknown. Determine the probabili

Lena [83]

Answer:

a) 0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

b) 0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.

c) 0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2

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 $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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 $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

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

The mean of a population is 74 and the standard deviation is 15.

This means that $\mu = 74, \sigma = 15$

Question a:

Sample of 36 means that $n = 36, s = \frac{15}{\sqrt{36}} = 2.5$

This probability is 1 subtracted by the pvalue of Z when X = 78. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{78 - 74}{2.5}$

$Z = 1.6$

$Z = 1.6$ has a pvalue of 0.9452

1 - 0.9452 = 0.0548

0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

Question b:

Sample of 150 means that $n = 150, s = \frac{15}{\sqrt{150}} = 1.2247$

This probability is the pvalue of Z when X = 77 subtracted by the pvalue of Z when X = 71. So

X = 77

$Z = \frac{X - \mu}{s}$

$Z = \frac{77 - 74}{1.2274}$

$Z = 2.45$

$Z = 2.45$ has a pvalue of 0.9929

X = 71

$Z = \frac{X - \mu}{s}$

$Z = \frac{71 - 74}{1.2274}$

$Z = -2.45$

$Z = -2.45$ has a pvalue of 0.0071

0.9929 - 0.0071 = 0.9858

0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.

c. A random sample of size 219 yielding a sample mean of less than 74.2

Sample size of 219 means that $n = 219, s = \frac{15}{\sqrt{219}} = 1.0136$

This probability is the pvalue of Z when X = 74.2. So

$Z = \frac{X - \mu}{s}$

$Z = \frac{74.2 - 74}{1.0136}$

$Z = 0.2$

$Z = 0.2$ has a pvalue of 0.5793

0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2

5 0

3 years ago

A cookie factory uses 7/10 of a barrel of oatmeal in each batch of cookies. The factory used 4 9/10 barrels of oatmeal yesterday

melamori03 [73]

Answer: 7 BATCHES

Step-by-step explanation: to produce one batch it takes 7/10 of oatmeal

Now the factory uses 4 9/10 batch of oatmeal

1=7/10 OATMEAL

X=4 9/10 OATMEAL

X=(7/10*1)/4 9/10

=4 9/10*10/7

=490/70

5 0

2 years ago

13. What is the result of adding 5.4a + 7.1 and -1.28 - 6.3?

den301095 [7]

Answer:

C. 4.2a + 0.8

Step-by-step explanation:

Given:

The two binomials given for addition are:

$5.4a+7.1$ and $-1.2a-6.3$

Now, adding both the binomials, we get:

$5.4a+7.1+(-1.2a-6.3)$

Distributing the positive sign inside the second binomial, we get:

$5.4a+7.1-1.2a-6.3$

Now, combining like terms using the commutative property of addition, we get:

$(5.4a-1.2a)+(7.1-6.3)$

Simplifying the above expression, we get:

$(5.4-1.2)a+0.8\\4.2a+0.8$

Therefore, the resulting addition of the given binomials is $4.2a+0.8$

Hence, option C is the correct answer.

8 0

3 years ago