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3 years ago

Which expression is equivalent to -3.5(4x – 3)?

Mathematics

1 answer:

Masja [62]3 years ago

3 0

First, you need to solve the equation.

-3.5 * 4x = -14x
-3.5 * -3 = 10.5

C) -14x + 10.5

Hope this helps!

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(a food ball team has four chances with the ball keep going to try to make a touchdown. a team gained 7 yards,lost 2, gained 4,a

Hoochie [10]

Gained in total = 10.

Moved Backwards in total = 3.

But if you keep them all together with the amount taken away, they've only gained 8 yards.

4 0

4 years ago

andrezito [222]

Answer:

a) 0.27% probability that the mean is less than 1995 milliliters.

b) 2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.

Step-by-step explanation:

To solve this problem, it is important 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 random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 2000, \sigma = 18$

A) If the manufacturer samples 100 bottles, what is the probability that the mean is less than 1995 milliliters?

So $n = 100, s = \frac{18}{\sqrt{100}} = 1.8$

This probability is the pvalue of Z when X = 1995. So

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

By the Central Limit Theorem

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

$Z = \frac{1995 - 2000}{1.8}$

$Z = -2.78$

$Z = -2.78$ has a pvalue of 0.0027

So 0.27% probability that the mean is less than 1995 milliliters.

B) What mean overfill or more will occur only 10% of the time for the sample of 100 bottles?

This is the value of X when Z has a pvalue of 1-0.1 = 0.9.

So it is X when $Z = 1.28$

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

$1.28 = \frac{X - 2000}{1.8}$

$X - 2000 = 1.8*1.28$

$X = 2002.3$

2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.

3 0

3 years ago

Xiao bought 4310 gallons of gas that cost $2.50 per gallon.

Vikentia [17]

Answer:

$10775

Step-by-step explanation:

If 1 gallon of gas is $2.50, then the cost of 4310 gallons of gas will be:

4310 * 2.50

= $10775

Hope this answer was helpful!!

8 0

3 years ago

Read 2 more answers

The ticket to a ballet cost either $25 or $50. A total of 1,250 tickets , worth $50,000, were sold. If x represents the number o

Butoxors [25]

Let's assume

x represents the number of $25 tickets

y represents the number of $50 tickets

A total of 1,250 tickets

so, we get

$x+y=1250$

So, cost of $25 tickets is 25x

So, cost of $50 tickets is 50y

Total cost of tickets =(cost of $25 tickets)+(cost of $50 tickets)

Total cost of tickets =25x+50y

we are given

worth $50,000, were sold

so, we get equation as

$25x+50y=50000$

we get system of equations as

$x+y=1250$

$25x+50y=50000$ ..............Answer

3 0

3 years ago

Find the probability of at least 2 girls in births. Assume that male and female births are equally likely and that the births ar

tiny-mole [99]

We assume that male and female births are equally likely, it means that the probability of birth of male= probability of birth of female = 100%/2=50% or 0.5We have 2 independent events. So what will be the variants:
Male and FemaleMale and Male Female and Male Female and Female
All four variants are equally likely.Probability of each one is 1/4 = 0.25.So, Result "Female and Female"
are probability = 0.250 --- if round to three decimal places.

6 0

3 years ago