Select all possible solutions for 2x+7 is less than or equal to 3x-5

Rapid____in Southeast Asia puts too much burden on infrastructure and services in cities. This leads to increasing_____among ric

Igoryamba

Answer:

urbanization

disparities

overpopulated

just trust me mate

7 0

3 years ago

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Suppose that insurance companies did a survey. They randomly surveyed 400 drivers and found that 320 claimed they always buckle

nirvana33 [79]

Answer:

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

And replacing we got:

$ME= 1.96*\sqrt{\frac{0.8 (1-0.8)}{400}} =0.0392$

ii) $Lower = 0.8-0.0392= 0.7608$

$Upper = 0.8 +0.0392= 0.8392$

Step-by-step explanation:

Notation and definitions

$X=320$ number of people that claimed always buckle up.

$n=400$ random sample taken

$\hat p=\frac{320}{400}=0.8$ estimated proportion of people that claimed always buckle up

$p$ true population proportion of people that claimed always buckle up

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

Part i

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

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

The margin of error is given by:

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

And replacing we got:

$ME= 1.96*\sqrt{\frac{0.8 (1-0.8)}{400}} =0.0392$

Part ii

And the confidence interval would be given by:

$Lower = 0.8-0.0392= 0.7608$

$Upper = 0.8 +0.0392= 0.8392$

6 0

2 years ago

An after-school care facility tries to maintain a 2-to-1 ratio of children to adults. If the facility hired five adults, what is

astra-53 [7]

Answer:

10 children

Step-by-step explanation:

If we have a ratio of 2:1 children:adults, then we can find out how many children max can enroll if there are 5 adults.

Our original ratio was 2:1 and now it's x:5, assuming x is the number of children enrolled. We multiply 1 by 5 to get to 5, so we need to multiply 2 by 5 to get the total number of chlidren.

2 × 5 = 10

Hope this helped!

3 0

2 years ago

Solve the quadratic equation. <br><br> 3x^2 - 5= 70<br><br> (Please explain steps)

Svet_ta [14]

Simplifying
3x2 + -5 = 70

Reorder the terms:
-5 + 3x2 = 70
Solving
-5 + 3x2 = 70

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + 3x2 = 70 + 5

Combine like terms: -5 + 5 = 0
0 + 3x2 = 70 + 5
3x2 = 70 + 5

Combine like terms: 70 + 5 = 75
3x2 = 75

Divide each side by '3'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5} and that’s it.

5 0

2 years ago

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WILL GIVE BRAINLIEST!

expeople1 [14]

Answer:

$Average\:Rate\:Change=-59.4$