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3 years ago

7n-1>-169 does anyone know this answer?

Mathematics

2 answers:

Charra [1.4K]3 years ago

4 0

7n-1>-169
+1 both sides
7n>-168
÷7 both sides
n>-24

earnstyle [38]3 years ago

3 0

Let's look at this inequality.
7n-1>-169.
To solve this, we need to isolate the variable. Let's start by adding 1 to both sides.
7n-1+1>-169+1
7n>-168
Divide both sides by 7.
7n/7>-168/7
n>-24

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3 years ago

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Neko [114]

Answer:

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Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let $\hat p$ = sample proportion of people who prefer to start their own business

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( $\hat p$ $\leq$ 70%)

P( $\hat p$ $\leq$ 70%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }$ ) = P(Z $\leq$ -1.07) = 1 - P(Z < 1.07)

= 1 - 0.8577 = 0.1423

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

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