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Lubov Fominskaja [6]
4 years ago
11

Select the correct answer.

Mathematics
2 answers:
DIA [1.3K]4 years ago
8 0

Answer:

<A=<G

so <CAB=<EGF

Step-by-step explanation:

qaws [65]4 years ago
6 0

Answer:

B.  

∠CAB and ∠GEF

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A cognitive psychologist wants to know whether memory performance is changed by old age. She randomly selects 7 elderly individu
defon

Answer:

z = \frac{418.7-465.6}{\frac{53.6}{\sqrt{7}}}= -2.340

Now we can calculate the p value with the following probability

p_v =2*P(z

If we use the commonly significance level of 0.05 we see that the p value is lower than these values we can conclude that the true mean is different from the value of 465.6 at 5% of significance

Step-by-step explanation:

Data provided

\bar X=418.7 represent the mean score on the standardized memory test

\sigma=53.6 represent the population standard deviation

n=7 sample size    

\mu_o =465.6 represent the value that we want to verify

z would represent the statistic

p_v represent the p value

System of hypothesis

We are interested to check if the memory performance for elderly individuals differs from that of the general population (mean different from 465.6), the system of hypothesis are then:

Null hypothesis:\mu = 465.6    

Alternative hypothesis:\mu \neq 465.6    

Since we know the population deviation we can use the z statistic from the z test for the true mean:

z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}} (1)    

Replacing the info given we got:

z = \frac{418.7-465.6}{\frac{53.6}{\sqrt{7}}}= -2.340

Now we can calculate the p value with the following probability

p_v =2*P(z

If we use the commonly significance level of 0.05 we see that the p value is lower than these values we can conclude that the true mean is different from the value of 465.6 at 5% of significance

6 0
4 years ago
PLEASE HELP ME PLEASE I NEED TO PASS. WILL MARK BRAINLIEST!!!! WILL REPORT IF COMMENTED AS AN ANSWER TO GET POINTS. I FR NEED HE
Bumek [7]

Answer:

1. 29.44 feet.

2. 2/3.

3. 10/9.

4. 39/5.

Step-by-step explanation:

1. 34-foot ladder makes a 60 degree angle with the ground. If you visualize a 30-60-90 triangle with the ladder and the building and the ground, you can see that the hypotenuse of the triangle is 34 feet.

With 30-60-90 triangles, the short side is x, the hypotenuse is 2x, and the long side is x and the square root of 3.

If the hypotenuse is 34 feet, that must mean that the short side is 34 / 2 = 17 feet. The long side will be 17 * sqrt(3) = 17 * 1.732050808 = 29.44486373. So, the height above the ground will be about 29.44 feet.

2. Tangent of A! For this, we will use SOH CAH TOA... TOA stands for tangent: opposite over adjacent.

According to the diagram, angle A has an adjacent side of 15 units and an opposite side of 10 units. That means that tanA = 10 / 15 = 2/3.

If you want to find the measure of angle A, you can easily find the cotangent of 2/3. That is 33.69006753, or about 34 degrees.

3. The ratio should be 5 feet to 54 inches. There are 12 inches in 1 foot, so 5 feet is the same thing as 60 inches. 60 / 54 = 30 / 27 = 10/9.

4. (p + 9) / 7 = 12 / 5

5(p + 9) = 12 * 7

5p + 45 = 84

5p = 39

p = 7.8

That is the same thing as 7 and 4/5, or (35 + 4)/5 = 39/5

Really hope this helps!!

8 0
3 years ago
Read 2 more answers
15 points Need ASAP- Use the table to write a proportion ~ (table on pic)
mario62 [17]

Answer:

m=24

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Stells [14]
Angles will add up to 180.
49+62+x=180
111+x=180
subtract 111 both sides
x= 69°

Hope this helps!
5 0
2 years ago
[Trigonometric Graphs]
8_murik_8 [283]

Answer: 7. y = 2 sin (2x) - 3

              \bold{8.\quad y=sin\bigg(8x + \dfrac{8}{\pi}\bigg)}

<u>Step-by-step explanation:</u>

The general form of a sine equation is: y = A sin (Bx - C) + D    where

  • Amplitude = |A|
  • Period (P) = \dfrac{2\pi}{B}
  • Phase Shift = \dfrac{C}{B}
  • Vertical Shift = D (positive is up, negative is down)

7. Given:

  • A = 2
  • P = π = \dfrac{2\pi}{B}  → B = 2
  • C = 0 (none)
  • D = -3

--> y = 2 sin (2x) - 3

8. Given:

  • A = 1
  • P = \dfrac{\pi}{4} = \dfrac{2\pi}{B}  → B = 8
  • \text{Phase Shift = }-\pi = \dfrac{C}{8}\implies C = -8\pi
  • D = 0 (none)

\implies y=sin\bigg(8x + \dfrac{8}{\pi}\bigg)

3 0
3 years ago
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