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IrinaK [193]
3 years ago
13

Write the word sentence as an equation. Then solve.

Mathematics
1 answer:
natima [27]3 years ago
5 0

Answer:25x=320=12.8

Step-by-step explanation:

a number=x

x*25=25x

25x=320

320/25=12.8

x=12.8

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Describe the sampling distribution of p(hat). Assume the size of the population is 30,000.
Naya [18.7K]

Answer:

a) \mathbf{\mu_ \hat p = 0.6}

b) \mathbf{\sigma_p =0.01732}

Step-by-step explanation:

Given that:

population mean \mu = 30,000

sample size n = 800

population proportion p = 0.6

a)

The mean of the the sampling distribution is equal to the population proportion.

\mu_ \hat p =  p

\mathbf{\mu_ \hat p = 0.6}

b)

The standard deviation of the sampling distribution can be estimated by using the formula:

\sigma_p = \sqrt{\dfrac{p(1-p)}{n}}

\sigma_p = \sqrt{\dfrac{0.6(1-0.6)}{800}}

\sigma_p = \sqrt{\dfrac{0.6(0.4)}{800}}

\sigma_p = \sqrt{\dfrac{0.24}{800}}

\sigma_p = \sqrt{3 \times 10^{-4}}

\mathbf{\sigma_p =0.01732}

7 0
3 years ago
Find the measure of the exterior angle shown​
RUDIKE [14]

Answer:

• exterior angle of a triangle is equal to sum of opposite interior angle

(6x-7) = (103-x) + 2x

6x-7 = 103 - x + 2x

6x-7 = 103 + x

6x - 7 - x -103 = 0

6x - x - 110 = 0

5x - 110 = 0

5x = 110

x = 110/5

x = 22

as exterior angle is (6x-7)

= 6 × 22 - 7

= 125

-> Exterior angle is 125°

pls do mark as brainliest. . . ☺

5 0
4 years ago
The sum of one third of a number and five is equal to six less than the number
abruzzese [7]

Call the number : x

(1/3)x + 5 = x-6

=> (1/3)x + 5 - (x-6) = 0
=> (1/3)x + 5 - x + 6 = 0
Group (1/3)x with -x, 5 with 6

=> [(1/3)x - x] + (5+6) = 0
=> (-2/3)x + 11 = 0
=> (-2/3)x = -11
=> x = -11 : (-2/3) = 33/2.

Recheck : 1/3 x 33/2 + 5 = 33/6 + 5 = 63/6 = 21/2

33/2 - 21/2 = 12/2 = 6 (21/2 is 6 less than 33/2, satisfied.)

4 0
2 years ago
If h(x) = −2x − 10, find h(−4). −2 −18 −3 −16
Anuta_ua [19.1K]
If h(x) = -2x - 10 you should put the -4, -2. -18, -3 or/and -16 in the place of the x in the formula.
So for example:

h(-4) = -2 * (-4) - 10 = 8 - 10 = -2

Or at least, that's what I think the answer should be.

Good luck!
8 0
3 years ago
Read 2 more answers
Find the value of each variable in the diagram given that a ∥ b.
Alika [10]

The values are as follows:

z=50

v= 150

x= 100

y=15

w= 50

<h3>What is parallel lines?</h3>

Parallel lines are lines in a plane that are always the same distance apart.

z+130= 180   (Linear pair)

z=50

v+ 30 = 180  (Linear pair)

v= 150

x= 180- 30 - 50  (angle sum property)

x= 100

2y=30   (alternate interior angle)

y=15

w+x+2y=180  (Linear pair)

w+ 100 + 30 = 180

w= 50

Learn more parallel lines here:

brainly.com/question/16701300

#SPJ1

4 0
2 years ago
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