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7 months ago

Which of the following is equivalent to −2(4x + 8y) − 5(3q + 6p)?

Mathematics

2 answers:

Kisachek [45]7 months ago

7 0

Answer: -8x - 16y - 15q - 30p Is the correct answer

I hope this helps!

Nadusha1986 [10]7 months ago

6 0

Answer:

-8x + 16y -15q - 30p

Step-by-step explanation:

your just expanding brackets here

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Factor the polynomial by its greatest common monomial factor. 9m3 – 27m=

jek_recluse [69]

Step-by-step explanation:

9m out of 9m³h−27m

9m(m²h−3)

8 0

2 years ago

Read 2 more answers

Let f be an exponential function and g be a logarithmic function.

love history [14]

Good evening ,

______

Answer:

1) (f+g)(1) = e

2) (fg)(1) = 0

3) (3f)(1) = 3e

___________________

Step-by-step explanation:

1) (f+g)(1) = f(1) + g(1) = e¹ + log1 = e + 0 = e.

2) (fg)(1) = f(1) × g(1) = e¹ × log(1) = e¹ × 0 = e × 0 = 0.

3) (3f)(1) = 3×f(1) = 3×e¹ = 3e.

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3 years ago

The Baker Family spent $28 on 5 tickets.

White raven [17]

Answer:

I cannot not give the correct solution, need more context. How many children are there, how many adults are in the family? So I will explain in my explanation.

Step-by-step explanation:

If more context were given, for example: 2 adults and 2 children.

Then the bakers would have bought 2 adult tickets for ___ each

Then the bakers would have bought 3 children's tickets for ___ each

So using what we know we can create an equation:

2A+3C=28,

meaning 2 adult tickets plus 3 children's tickets costs a total of $28.

So we divide 28 by 5, which is the total amount of tickets.

28/5=5.6

So to figure the cost of children's tickets multiply the cost by amount.

3*$5.6=$16.8, C=16.8

To figure out the cost of the adults tickets multiple the cost by the amount.

2*$5.6=$11.2, A=11.2

a) the bakers would have bought 2 adult tickets for 5.6 each.

b) the bakers would have bought 3 children's tickets for 5.6 each.

8 0

3 years ago

PrettPlease plsssss I beg of you sor

Naya [18.7K]

9514 1404 393

Answer:

The percentage of total votes received by Molly
58%

Step-by-step explanation:

a) We don't know what your menu choices are. The question is asking for the percentage of total votes received by Molly.

b) The total number of votes is 21 +29 = 50. Molly's fraction is 29/50. Expressed as a percentage, that is ...

29/50 × 100% = 58%

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2 years ago

In college basketball, a shot made from beyond a designated arc radiating about 20 ft from the basket is worth three points ins

denis-greek [22]

Answer:

a) By the Central Limit Theorem, the distribution would be approximately normal, with mean $\mu = 0.45$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.45*0.55}{100}} = 0.0497$

b) 4.02 standard deviations below the mean.

c) Making 25 or less shots has a pvalue of -4.02. Z-scores lower than -2 are considered surprising, so yes, it would be surprising for him to make only 25 of these shots.

Step-by-step explanation:

To solve this question, we are going to need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, 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 proportions, we have that the mean is $\mu = p$ and the standard deviation is $s = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$p = 0.45, n = 100$

a)By the Central Limit Theorem, the distribution would be approximately normal, with mean $\mu = 0.45$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.45*0.55}{100}} = 0.0497$

b)This is Z when X = 0.25.

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

By the Central Limit Theorem

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

$Z = \frac{0.25 – 0.45}{0.0497}$

$Z = -4.02$

4.02 standard deviations below the mean.

c) Making 25 or less shots has a pvalue of -4.02. Z-scores lower than -2 are considered

surprising, so yes, it would be surprising for him to make only 25 of these shots.

3 0

2 years ago