I need help my question is -2 less than or equal to 3x-2 <10

BARSIC [14]

8.3% is ur answer hope this helps

3 0

2 years ago

What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8 < r < 12.5)=

melisa1 [442]

Answer:

0.8185 or 81.85%

Step-by-step explanation:

The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.

The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean the z sore is negative. It is given by:

$z=\frac{x-\mu}{\sigma}$

To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.

For 8 inches:

$z=\frac{x-\mu}{\sigma}=\frac{8-11}{1.5}=-2$

For 12.5 inches:

$z=\frac{x-\mu}{\sigma}=\frac{12.5-11}{1.5}=1$

From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%

4 0

3 years ago

Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval for a

Vikki [24]

Answer:

$0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730$

$0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890$

And the confidence interval would be:

$0.730 \leq \p \leq 0.890$

Step-by-step explanation:

Information given:

$n=131$ represent the sample size

$\hat p=0.81$ represent the estimated proportion

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 98% confidence interval the value of $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.326$

And replacing into the confidence interval formula we got:

$0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730$

$0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890$

And the confidence interval would be:

$0.730 \leq \p \leq 0.890$

6 0

3 years ago

A line goes through the point (6,–2) and has a slope of –3. What is the value of a if the point (a,7) lies on the line? A =

Sati [7]

Answer:

Step-by-step explanation:

Y = mx + b

slope(m) = 3/4

(3,7)...x = 3 and y = 7

now we sub...we r looking for b, the y int

7 = 3/4(3) + b

7 = 9/4 + b

7 - 9/4 = b

28/4 - 9/4 = b

19/4 = b

equation is : y = 3/4x + 19/4...lets put this in standard form

y = 3/4x + 19/4

-3/4x + y = 19/4...multiply by -4

3x - 4y = -19 <== standard form

if (x,5) is on the line

3x - 4y = -19.....sub in 5 for y

3x - 4(5) = -19

3x - 20 = -19

3x = -19 + 20

3x = 1

x = 1/3 <====so point a = (1/3,5)

4 0

3 years ago

Read 2 more answers

Which graph is a function of x?

aleksklad [387]

Answer:

the answer is the 2nd one the one with the v shape

Step-by-step explanation:

if you do the vertical line test which is just drawing a vertical line through the line and it intersect the line twice than it is NOT functional

6 0

2 years ago

Read 2 more answers