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3 years ago

Please help me guys

Mathematics

1 answer:

vladimir2022 [97]3 years ago

4 0

Answer:

Step-by-step explanation:

2x + 6 < 10

2x + 6 - 6 < 10 - 6

2x < 4

2x ÷ 2 < 4 ÷ 2

x < 2

-2x + 22 < 18

-2x + 22 - 22 < 18 - 22

-2x < - 4

-2x ÷ (-2) > -4 ÷ (-2)

x > 2

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Suppose △PKN≅△BGH△PKN≅△BGH. Which other congruency statements are correct? Select each correct answer. △NKP≅△HBG△NKP≅△HBG △KPN≅△

NeTakaya

Answer:

△NPK≅△HBG; and △KNP≅△GHB

Explanation:

Using the given congruence statement, we can determine corresponding pieces of the triangles:

P corresponds to B; K corresponds to G; and N corresponds to H.

This means that △NKP≅△HGB, not HBG.

△KPN≅△GBH, not BHG.

△NPK≅△HBG; this is correct.

△KNP≅△GHB; this is correct.

8 0

3 years ago

3 Solve for x. 9(x + 1) = 25 + x Ο x=2 x=3 0 x=4 0 0 0 0 Ο 0 x=5

muminat

Answer:

x= 2

Step-by-step explanation:

so expand the left side of the equation

9x+9= 25+x

and then group like terms( subtract 9 from both sides and also do same with x.

9x-x= 25-9

8x= 16

divide by 8 on both sides.

x=2

7 0

1 year ago

How is adding 0.267 to 50.9 different from adding 0.26 to 50.9

Brut [27]

Answer:

Step-by-step explanation:

They are different numbers:

0.269 + 50.9 = 51.169

0.26 + 50.9 = 51.16

8 0

3 years ago

A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper claims

dedylja [7]

Answer:

The correct solution is "0.127128".

Step-by-step explanation:

The given values are:

p = 0.31

n = 20

Now,

$p(8$

$=20C_{9}(0.31)^9\times (0.69)^{11}+20C_{10}(0.31)^{10}\times (0.69)^{10}+20C_{11}\times (0.31)^{11}\times (0.69)^{9}$

$=0.074955+0.037043+0.015130$

$=0.127128$

5 0

3 years ago

An elementary school class ran 1 mile in an average of 11 minutes with a standard deviation of 3 minutes. Rachel, a student in t

Natali5045456 [20]

Answer:

a) Kenji's time had a lower z-score, which means that he is better compared to other runners on his level, and better to his peers compared to Nedda.

b) Rachel, because her time had the lowest z-score.

Step-by-step explanation:

Z-score:

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 question:

The lower the time, the better the runner is. So whoever's time has a lower z-score is a better runner. So initially, we find the z-score of each student's time.

An elementary school class ran 1 mile in an average of 11 minutes with a standard deviation of 3 minutes. Rachel, a student in the class, ran 1 mile in 8 minutes.

This means that for Rachel's time, we have that $X = 8, \mu = 11, \sigma = 3$ . So

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

$Z = \frac{8 - 11}{3}$

$Z = -1$

A junior high school class ran 1 mile in an average of 9 minutes, with a standard deviation of 2 minutes. Kenji, a student in the class, ran 1 mile in 8.5 minutes.

This means that for Kenji's time, we have that $X = 8.5, \mu = 9, \sigma = 2$ . So

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

$Z = \frac{8.5 - 9}{2}$

$Z = -0.25$

A high school class ran 1 mile in an average of 7 minutes with a standard deviation of 4 minutes. Nedda, a student in the class, ran 1 mile in 8 minutes.

This means that for Nedda's time, we have that $X = 8, \mu = 7, \sigma = 4$ . So