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4 years ago

Write 1,386 as the product of it prim fa

1 answer:

8 0

I like to start by dividing the given number by 2, unless a larger factor is evident.

1386 = 2(693). It's pretty obvious that we can divide 693 by 3: 693=3(231).

Then we have 1386 = (2)(3)(231). Try the same procedure. Does 231 have any integer, prime factors? See how far you can take this factoring.

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Please help!!!!! I will give brainliest!!!! Find the area

avanturin [10]

Answer:

30 m

Step-by-step explanation:

7 0

3 years ago

The circumference of a circle is 16Pi ft. The radius is ft.

mafiozo [28]

8pi ft

Just divide 16 by 2 because it’s half of the diameter

6 0

3 years ago

At a new exhibit in the Museum of Science, people are asked to choose between 94 or 220 random draws from a machine. The machine

Tresset [83]

Answer:

0.0869 = 8.69% probability of getting more than 61% green balls.

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

The machine is known to have 99 green balls and 78 red balls.

This means that $p = \frac{99}{99+78} = 0.5593$

Mean and standard deviation:

$\mu = p = 0.5593$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373$

a. Calculate the probability of getting more than 61% green balls.

This is 1 subtracted by the pvalue of Z when X = 0.61. So

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

By the Central Limit Theorem

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

$Z = \frac{0.61 - 0.5593}{0.0373}$

$Z = 1.36$

$Z = 1.36$ has a pvalue of 0.9131

1 - 0.9131 = 0.0869

0.0869 = 8.69% probability of getting more than 61% green balls.

8 0

3 years ago

PLASS HELPPP WILL GIVE BRAINLISTTT DUE RN

scoray [572]

Answer:

The area of the rectangle is 0.0875 sq ft.

Step-by-step explanation:

Given that,

The length of the rectangle, L = 0.35 feet

The breadth of the rectangle, B = 1/4 feet

We need to find the area of the rectangle. The formula for the area of a rectangle is given by :

A = LB

Put all the values,

$A=\dfrac{1}{4}\times 0.35\\\\A=0.0875\ ft^2$

So, the area of the rectangle is 0.0875 sq feet.

4 0

3 years ago

Suppose you invest $10,410 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and sells for $20.

leva [86]

Let x= number of board games
20x=10410+2.65x 
-2.65 -2.65 
17.35x=10410 
/17.35 /17.35 
x=600 
You would need to sell at least 600 board games to break even

3 0

3 years ago