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3 years ago

The graph shows two lines, A and B.

Mathematics

2 answers:

scoundrel [369]3 years ago

8 0

Answer:

second option: (4, 4) is the solution to both lines A and B.

Step-by-step explanation:

You know that the equation of line A is:

$y=-3x+15$

and the equation of line B is:

$y=\frac{1}{2}x+2$

The point in which the line A intersects with the line B is the solution of the sytstem of equations.

You can observe in given graph that the point of intersection of Line A and Line B is: (4,4)

Therefore (4, 4) is the solution to both lines A and B.

Svetach [21]3 years ago

6 0

Answer:

(4, 4) is the solution to both lines A and B.

Step-by-step explanation:

Given graph shows two lines, A and B.

Based on the graph, we need to find about which statement is correct about the solution to the system of equations for lines A and B. Where give choices are:

(4, 4) is the solution to line A but not to line B.

(4, 4) is the solution to both lines A and B.

(5, 1) is the solution to line B but not to line A.

(0, 2) is the solution to both lines A and B.

From graph we can see that both lines intersect at point (4,4). Since solution lies on both lines so the correct choice is:

(4, 4) is the solution to both lines A and B.

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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

2 years ago

PLEASE HELP!!!!! 15 PTS

zvonat [6]

Quoteint of powers
(x^m)/(x^n)=x^(m-n)

we know that 8=x^3

so
(2^5)/8=2^2 can be rewritten as
(2^5)/(2^3)=2^2
and 5-3=2 so it's true

answer is
third one
by simplifieng 8 to 2^3 to make both powers base two, and subtraction the exponents

7 0

3 years ago

Read 2 more answers

Książka w raz z płyta kosztuje 37zl. Płyta jest o 5zl droższa od książki. Ile kosztuje ksiazka a ile płyta

Radda [10]

Answer:

can't understand

Step-by-step explanation:

pls try your best

3 0

3 years ago

At 6:00 p.m. the temperature was –5°F outside. By midnight the temperature had dropped 12 degrees. What was the temperature at m