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3 years ago

Are the triangles similar

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

6 0

Answer:

C. similar by SAS

Step-by-step explanation:

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An economist wishes to conduct a survey in two different cities in the same county to determine the difference in the proportion

slamgirl [31]

Answer:

The minimum sample size needed for each city = 922

Step-by-step explanation:

From the information given:

the objective is to find the minimum sample size needed for each city so that the margin of error not to exceed 6%.

If we take a look at the question very well:

we are only given the confidence interval of 99% and the margin of error of 6%

we were not informed or given the value or estimate of any proportions>

so we assume that:

$p_1 =q_ 1= p_2 = q_2 = 0.5$

At confidence interval of 0.99 , the level of significance = 1 - 0.99 = 0.01

The critical value for $z_{\alpha/2} = z_{0.01 /2}$

= $z_{0.005}$ = 2.576

The minimum sample size needed can be calculated by using the formula :

$n = \dfrac{z^2_{\alpha/2}}{E^2}(p_1q_1+p_2q_2)$

$n = \dfrac{2.576^2}{0.06^2}((0.5 \times 0.5)+(0.5 \times 0.5))$

$n = \dfrac{6.635776}{0.0036}(0.25+0.25)$

$n =1843.271 \times (0.5)$

n = 921.63

n $\simeq$ 922

∴ The minimum sample size needed for each city = 922

4 0

3 years ago

The expression -3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been

Rina8888 [55]

Answer:

Step-by-step explanation:

g(m) = 0

2-4m=0

2=4m

2/4=m

1/2=m------(1

p(1/2)= -3(1/2) - { 2(1/2) + (5- 1/2) } +7

= -3/2 - { 1 + 9/2} +7

= -3/2 - ( 11/2) +7

=-14/2 +7

= -14 + 14 /2

= 0/2

= 0...

since p(m)= 0,

we can say that g(m) is a factor of p(m)

hence, it has been simplified correctly...

3 0

3 years ago

NEED HELP WILL MARK BRAINLIEST

Nitella [24]

Answer:

$73,564,723.80

Step-by-step explanation:

"x is the number of years after the expansion in 2005"

This year is 2021.

2021 - 2005 = 16

x = 16

$f(x) = 12(1.12)^{x}$

$f(16) = 12(1.12)^{16}$

$f(16) = 73.56$

Answer: $73,564,723.80

8 0

3 years ago

PLEASE HELP ME ASAP I'M HORRIBLE AT MATH

boyakko [2]

Answer:

Simple, 2.4

Step-by-step explanation:

anything with N or X on the side of a number means to multiply, and 2.4*15= 36, all you need to use is the opposite of it, aka, division. 15*__=36

If possible; brainliest?

7 0

3 years ago

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Evaluate -6-(-5) x (-9)

Rom4ik [11]

9.
That’s the answer

3 0

3 years ago

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