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3 years ago

PLISS ANSWER :C DONT ANSWER IF YDK THAnKSSS also pls look at both images :)

Mathematics

1 answer:

Iteru [2.4K]3 years ago

7 0

Answer:

First image: (6, -1)

2nd image: y = 63

Explanation:

2x + y = 11

1/2x - 5y = 8

y = -2x + 11

1/2x - 5(-2x + 11) = 8

1/2x + 10x - 55 = 8

10.5x - 55 = 8

10.5x = 63

x = 6

2x + y = 11

2(6) + y = 11

12 + y = 11

y = -1

(x , y) = (6, -1)

1/4(8y - 4.8) = 2 (0.9y + 5.4) + 3/5

2y - 1.2 = 1.8y + 10.8 + 0.6

0.2y - 1.2 = 11.4

0.2y = 12.6

y = 63

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3 years ago

Given a two-digit number, make a three digit number by putting a 6 as the rightmost digit. Then, add 6 to the resulting three di

VladimirAG [237]

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3 years ago

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2 years ago

Norma had 3/8 left over from her party .She ate 3/4 of the leftover cake at lunch how much of the cake did Norma have at lunch

sergejj [24]

Answer:

Norma ate $\frac{9}{32}$ of the leftover cake at her lunch.

Step-by-step explanation:

Norma had a leftover cake from her party = $\frac{3}{8}$

She ate $\frac{3}{4}$ th of the leftover cake at the lunch.

Therefore, amount of cake she had at lunch = $\frac{3}{8}\times \frac{3}{4}$

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3 years ago

An engineer travels daily from home tothelaboratory each morning with an average commutetime of 24.6 minutes with a standard dev

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Answer:

1.74% probability that the commute takes more than 32 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be 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.

In this problem, we have that:

$\mu = 24.6, \sigma = 3.5$

a.What is the probability that the commute takes more than 32 minutes?

This is 1 subtracted by the pvalue of Z when X = 32. So:

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

$Z = \frac{32 - 24.6}{3.5}$

$Z = 2.11$

$Z = 2.11$ has a pvalue of 0.9826.

So there is a 1-0.9826 = 0.0174 = 1.74% probability that the commute takes more than 32 minutes.

7 0

3 years ago

PLISS ANSWER :C DONT ANSWER IF YDK THAnKSSS *also pls look at both images :)*

PLISS ANSWER :C DONT ANSWER IF YDK THAnKSSS also pls look at both images :)