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bagirrra123 [75]
3 years ago
15

TUV = 9x + 1 TUW = 7x-9 WUV 5x-11

Mathematics
2 answers:
bazaltina [42]3 years ago
6 0
9x + 1 + 7x - 9 = 5x - 11
16x - 8 = 5x - 11
11x - 8 = -11
11x = -3
-3/11 = x
enot [183]3 years ago
6 0

Answer:

7

Step-by-step explanation:

9x + 1 = 7x - 9 + 5x - 11

9x + 1 = 12x - 20

9x + 1 - 1 = 12x - 20 - 1

9x = 12x - 21

9x - 12x = 12x - 12x -21

-3x = -21

-3x/3 = -21/-3

x = 7

Hope that helps!

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AlekseyPX

Answer:

C

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

The graph of g(x) is the graph of f(x) shifted 6 units left , then

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7 0
2 years ago
The quadratic function d= -4x+1,100 models a snowboarder's distance, in feet, from the bottom of a hill x seconds after the snow
Fynjy0 [20]

Answer:

16 seconds (Approximately)

Step-by-step explanation:

Given:

The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:

d=-4x^2+1100

Final position of the snowboarder is d=100\ ft

Now, plugging in 100 for 'd' and solving for 'x', we get:

100=-4x^2+1100

Adding -1100 both sides, we get:

100-1100=-4x^2+1100-1100\\-1000=-4x^2

Dividing both sides by -4, we get:

\frac{4x^2}{4}=\frac{1000}{4}\\x^2=250

Taking square root and neglecting the negative root as time can't be negative. So,

\sqrt{x^2}=\sqrt{250}\\x=5\sqrt{10}=15.8\ s\approx 16\ s

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7 0
3 years ago
Explain how can 9×1/4=2 1/2
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2 years ago
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2 years ago
A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical​ trials, 200,0
CaHeK987 [17]

Answer:

1) No, there is  not  enough evidence to support the claim that the vaccine was effective (P-value=0.104) .

The null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0

being the subindex 1 for the experimental group and subindex 2 for the control group.

2) Test statistic z=-1.26

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the vaccine was effective.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0

The significance level is 0.01.

The sample 1 (experimental group), of size n1=100000 has a proportion of p1=0.0002.

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The sample 2 (control group), of size n2=100000 has a proportion of p2=0.0003.

p_2=X_2/n_2=30/100000=0.0003

The difference between proportions is (p1-p2)=-0.0001.

p_d=p_1-p_2=0.0002-0.0003=-0.0001

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{21+30}{100000+100000}=\dfrac{51}{200000}=0.00026

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.00026*0.99974}{100000}+\dfrac{0.00026*0.99974}{100000}}\\\\\\s_{p1-p2}=\sqrt{0+0.0000000025}=\sqrt{0.0000000051}=0.000071

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.00009-0}{0.000071}=\dfrac{-0.00009}{0.000071}=-1.26

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=P(z

As the P-value (0.104) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is  not  enough evidence to support the claim that the vaccine was effective.

6 0
2 years ago
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