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2 years ago

Solve for x. − 15 x + 60 ≤ 105 AND 14 x + 11 ≤ − 31

Mathematics

2 answers:

statuscvo [17]2 years ago

8 0

Answer:

x= -3

Step-by-step explanation:

-15 x + 60 ≤ 105 ⇒ -15x ≤ 45 ⇒ x≥ -3

14 x + 11 ≤ − 31 ⇒ 14x ≤ -42 ⇒ x ≤ -3

x ≤ -3 and x≥ -3

x= -3 is the solution

Guest

1 year ago

thanks

Nana76 [90]2 years ago

3 0

Answer:

We know −15x+60≤105 and 14x+11≤−31

−15x+60≤105(Condition 1)

−15x+60−60≤105−60(Subtract 60 from both sides)

−15x≤45

−15x /−15 ≤ 45 /−15 (Divide both sides by -15)

x≥−3

14x+11≤−31(Condition 2)

14x+11−11≤−31−11(Subtract 11 from both sides)

14x≤−42

14x /14 ≤ −42 /14 (Divide both sides by 14)

x≤−3

Answer:

x≥−3 and x≤−3

I hope this help.Please give me the brainliest

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Nataly_w [17]

Answer:

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Step-by-step explanation:

1) Data given and notation n

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X=96 represent the laptop's arrived with fully charged batteries.

$\hat p=\frac{96}{100}=0.96$ estimated proportion of laptop's arrived with fully charged batteries.

$p_o=0.85$ is the value that we want to test

$\alpha=0.05$ represent the significance level

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2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the new model’s rate is at least as high as the previous model.:

Null hypothesis: $p \leq 0.85$

Alternative hypothesis: $p > 0.85$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

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4) Statistical decision

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Since is a one side test the p value would be:

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Natali5045456 [20]

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yan [13]

Answer:

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Step-by-step explanation:

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