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3 years ago

2. χΣ -4 Please help

Mathematics

1 answer:

PolarNik [594]3 years ago

5 0

Step-by-step explanation:

1)x is less than 7

2)x is greater than and equal to -4

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In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th

marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

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

Where:

$\hat{p}$ is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

$z_{\alpha /2}$ is the critical value needed to find the tails of distribution related to the confidence level,

$n$ is the sample's size.

First we compute the $\hat{p}$ value:

$\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625$

Next we find the z-score at any z-distribution table or app (in this case i've used StatKey):

$z_{\alpha /2}=2.576$

Now we can replace in the formula with the obtained values to compute the confidence interval:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)$

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3 years ago

The amount of $100 is divided into two first prizes of equal value and three second prizes of equal

ahrayia [7]

Answer:

first prizes = $34

second prizes = $8

Step-by-step explanation:

8 × 3 = 24 100 - 24 = 76

76 ÷ 2 = 38

that was the best I could explain it sorry

5 0

2 years ago

Choose Yes or No to tell whether the expressions are equivalent. 1. 4(5c + 3) and 9c + 7 yes or no 2. 10f – 10 and 2(8f – 5) yes

Juli2301 [7.4K]

Answer:

1) No

2) No

3)Yes

4)No

Step-by-step explanation:

Distributive property: a(b + c) =a*b + a*c

1) 4(5c + 3) = (4*5c) + 4*3

= 20c + 12

2) 2(8f - 5) = (2*8f) - (2*5)

= 16f - 10

3) 3(4g + 7) = (3*4g) + (3*7)

= 12g + 21

YES

4) 6(4j - 6) =(6 * 4j) - (6*6)

= 24j - 36

5 0

3 years ago

Elementary Algebra Skill

mr_godi [17]

The answer is a = $\frac{4}{-3}$

Step-by-step explanation:

1. Convert the mixed fraction to an improper fraction

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2 $\frac{2}{3}$ will be $\frac{8}{3}$

2. Now the equation is,

$\frac{3}{2}$ a - $\frac{4}{3}$ a = $\frac{10}{3}$ + $\frac{8}{3}$ a

3. Take LCM on both sides.

For the left side, multiply the first fraction by $\frac{3}{3}$ and multiply the second fraction by $\frac{2}{2}$

$\frac{3*3}{2*3}$ a - $\frac{4*3}{3*3}$ a = $\frac{10+8a}{3}$

4. Solve by making a the subject

$\frac{9a-8a}{6}$ = $\frac{10+8a}{3}$

$\frac{a}{6}$ = $\frac{10+8a}{3}$

$\frac{3a}{6}$ =10+8a

$\frac{a}{2}$ = 10 + 8a

a = 2(10 + 8a)

a = 20 + 16a

a-16a = 20

-15a = 20

a = $\frac{20}{-15}$

a = $\frac{4}{-3}$

Therefore, the answer is a = $\frac{4}{-3}$

Keyword: Equations

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3 years ago

12 to the third power?

ser-zykov [4K]

Answer:

1728

Step-by-step explanation:

12*12*12

4 0

3 years ago

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