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2 years ago

What is the expanded form for 128,045

Mathematics

2 answers:

Basile [38]2 years ago

8 0

That is when you write out the value of each digit, which would be 100,000+20,000+8,000+40+5.

Anna11 [10]2 years ago

5 0

Expanded form of 128,045: 100,000+20,000+8,000+40+5

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When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probabili

svlad2 [7]

Critical probability is the essentially cut-off value. The critical probability when the confidence level of 58% is 0.79.

<h3>What is the critical probability?</h3>

Critical probability is the essentially cut-off value that defines the region where the test statistic is unlikely to lie.

As it is given that the confidence level is 58%. therefore, in order to calculate the critical probability, we need to calculate the margin of error within a set of data, and it is given by the formula

$\rm Critical\ Probability, (P*) = 1-\dfrac{\alpha }{2}$

where the value of the α is expressed as,

$\alpha= 1 -\dfrac{\rm Confidence\ interval}{100}$

Now, as the confidence interval is given to us, therefore, the value of the alpha can be written as,

$\alpha= 1 -\dfrac{\rm 58\%}{100} = 0.42$

Further, the critical probability, assuming a confidence level of 58% is,

$\rm Critical\ Probability, (P*) = 1-\dfrac{\alpha }{2}\\\\\rm Critical\ Probability, (P*) = 1-\dfrac{0.42}{2} = 0.79$

Hence, the critical probability is 0.79.

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6 0

1 year ago

Can someone help me with system of equations?

umka21 [38]

#1)

Answer:

x=1 and y=12

Explanation:

y=5x+7

y=2x+10

This system should use substitution because the value of y is given in terms if x.

Substitution:

5x+7=2x+10

Solve:

3x=3

x=1

Substitute x to solve for y by plugging x into one if the original equations(doesn’t matter which one is used).

y=5x+7

y=5(1)+7

y=5+7

y=12

#2)

Answer:

x=-8 and y=2

Explanation:

y=2x+18

9y=-2x+2

This system also uses substitution. The value of y us already given in terms if c in the first equations, so we will substitute in the second equation.

Substitute:

9(2x+18)=-2x+2

Solve:

18x+162=-2x+2

20x=-160

x=-8

Now that we have the value if x, plug it into one of the original equations(doesn’t matter which equation) and substitute to find y.

y=2x+18

Substitute:

y=2(-8)+18

Solve:

y=-16+18

y=2

7 0

2 years ago

Read 2 more answers

Items produced by a manufacturing process are supposed to weigh 90 grams. The manufacturing procon

Annette [7]

Using the normal distribution, it is found that 0.26% of the items will either weigh less than 87 grams or more than 93 grams.

In a <em>normal distribution</em> with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

In this problem:

The mean is of 90 grams, hence $\mu = 90$ .

The standard deviation is of 1 gram, hence $\sigma = 1$ .

We want to find the probability of an item <u>differing more than 3 grams from the mean</u>, hence:

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

$Z = \frac{3}{1}$

$Z = 3$

The probability is P(|Z| > 3), which is 2 multiplied by the p-value of Z = -3.

Looking at the z-table, Z = -3 has a p-value of 0.0013.

2 x 0.0013 = 0.0026

0.0026 x 100% = 0.26%

0.26% of the items will either weigh less than 87 grams or more than 93 grams.

For more on the normal distribution, you can check brainly.com/question/24663213

4 0

2 years ago

If 70 mL of solution contains 280 mg of drug, how many milligrams of drug are in 50 mL of solution?

Ierofanga [76]

280 mg = 70 Ml
280/70 = 4
50 mL x 4 = 200 mg

200 mg

8 0

1 year ago

Orlando has a loan with an effective interest rate of 7. 918%, compounded annually. Which of the following must be true? I. In t

svetlana [45]

The correct option is B, II. only.

Given to us,

I. In the effective rate formula, n is equal to one.

Effective interest rate formula,

$r = (1 + \dfrac{i}{n} )^n - 1.$

where,

r is the effective interest rate,

i is the stated interest rate,

n is the number of compounding periods per year.

According to the question the compounding periods per year is not given to us. Also, loans are taken for a longer period of time.

Thus, we can conclude that statement is false.

II. The nominal rate is 7. 918%.

nominal rate = real interest rate + inflation rate,

but as it is not mentioned in the question about the inflation rate. the statement is true to us. Assuming the inflation rate is 0%.

Thus, we can conclude that statement is true.

III. The Federal Funds Rate is static.

This statement is false, as the no information is given about this statement also this can not be concluded through assumption.

Thus, we can conclude that statement is false.

Hence, The correct option is B, II. only.

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4 0

2 years ago