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kifflom [539]
3 years ago
15

PLEASE HELP! Choose the expression that is NOT equivalent to the following expression:

Mathematics
1 answer:
bija089 [108]3 years ago
3 0

Answer:

D. 4(11y + 22)

Step-by-step explanation:

4 times 11 is not 45 so D is the answer

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The ratio of men to women working for a company is 5 to  8 . If there are 364 employees total, how many men work for the company
uysha [10]
5 'parts' of the total company staff are men, and 8 'parts' are women.
That's 13 'parts' all together, comprising 364 people.
So each 'part' is 364/13 = 28 people.

Men = 5 'parts' = 5 x 28 = <u>140 men</u>

Women = 8 'parts' = 8 x 28 = <u>224 women</u>

<em><u>Check:</u></em>

140/224 = 70/112 = 35/56 =<em> </em><em>5/8</em>

140 + 224 = <em>364</em>

yay !
3 0
3 years ago
According to the "January theory," if the stock market is up for the month of January, it will be up for the year. If it is down
PSYCHO15rus [73]

Answer:

The required probability is 0.031918.

Step-by-step explanation:

Consider the provided information.

It is given that According to an article in The Wall Street Journal, this theory held for 22 out of the last 34 years.

Therefore n=34

The probability it is either up or down is 0.5.

Thus the value of p =0.5 and q = 0.5

Now calculate the probability

Let X is the number of years that theory held.

X has a binomial distribution with n=34 and p=0.5

P(X=22)=\binom{34}{22}(0.5)^{22}(0.5)^{12}\\P(X=22)=\frac{34!}{22!\times 12!}(0.5)^{22}(0.5)^{12}\\P(X=22)=548354040\times 5.8207660913\times 10^{11}\\P(X=22)=0.0319184060208\\P(X=22)\approx0.031918

Hence, the required probability is 0.031918.

8 0
3 years ago
Sebastian earned $250 dollars from helping his dad at the store. He has plans to spend one fifth of his earnings. How much money
Akimi4 [234]

Answer:

50

Step-by-step explanation:

you multiply 1/5 and 250/1 to get 250/5 then simplify to get 50

3 0
3 years ago
Read 2 more answers
Morgan made a mistake when subtracting the rational expressions below 3t^2-4t+1/t+3-t^2+2t+2/t+3=2t^2-2t+3/t+3. What was Morgan'
marusya05 [52]
<h3>Answer: Choice D. </h3>

Morgan forgot to distribute the negative sign to two of the terms in the second expression.

=============================================================

Explanation:

Focus on the numerators.

We have (3t^2-4t+1) as the first numerator and we subtract off (t^2+2t+2) as the second numerator.

Morgan needs to simplify (3t^2-4t+1)-(t^2+2t+2) for the numerator.

Mistakenly, she had these steps

(3t^2-4t+1)-(t^2+2t+2)

3t^2-4t+1-t^2+2t+2 .... her mistake made here

(3t^2-t^2)+(-4t+2t)+(1+2)

2t^2-2t+3

All of this applies to the numerator. The denominator stays at t+3 the entire time. So effectively we can ignore it on a temporary basis.

Here's what Morgan should have for her steps when simplifying the numerator.

(3t^2-4t+1)-(t^2+2t+2)

3t^2-4t+1-t^2-2t-2 ..... distribute the negative

(3t^2-t^2)+(-4t-2t)+(1-2)

2t^2-6t-1

Note in the second step, the negative outside flips the sign of each term in the second parenthesis.

Therefore,

\frac{3t^2-4t+1}{t+3}-\frac{t^2+2t+2}{t+3}\\\\\frac{(3t^2-4t+1)-(t^2+2t+2)}{t+3}\\\\\frac{3t^2-4t+1-t^2-2t-2}{t+3}\\\\\frac{2t^2-6t-1}{t+3}\\\\

which means \frac{3t^2-4t+1}{t+3}-\frac{t^2+2t+2}{t+3}=\frac{2t^2-6t-1}{t+3}, \ \ \text{ where } t \ne -3\\\\

Side notes:

  • The fractions can only be subtracted since the denominators are the same.
  • We have t \ne -3 to avoid a division by zero error.
  • Rational expressions are a fraction, or ratio, of two polynomials.
5 0
2 years ago
Earths mass into scientific notation, (5,980,000,000,000,000,000,000,000kg)
LiRa [457]
5.98 * 10^24kg because the amount of zeros is 24 and the exponent will be 24 and you have the decimal point between the 5 and then 9
5 0
3 years ago
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