For the following right triangle find the side length x round your answer to the nearest hundredth

Which of these equations, when solved, gives a different value of x than the other three? 9.1 = -0.2x + 10 10 = 9.1 + 0.2x 10 –

Rzqust [24]

1) 9.1 = -0.2x + 10 | - 10

9.1 - 10 = -0,2x + 10 - 10

-0.9 = -0.2x | × 10

-0.9 × 10 = -0.2x × 10

-9 = -2x | ÷ (-2)

-9 ÷ (-2) = -2x ÷ (-2)

9/2 = x

x = 4.5

2) 10 = 9.1 + 0.2x | - 9.1

10 - 9.1 = 9.1 + 0.2x - 0.9

0.9 = 0.2x | × 10

0.9 × 10 = 0.2x × 10

9 = 2x | ÷ 2

9 ÷ 2 = 2x ÷ 2

9/2 = x

x = 4.5

3) 10 - 0.2x = 9.1 | - 10

-0.2x = -0.9 | × 10

-2x = -9 | ÷ (-2)

x = 9/2

x = 4.5

4) 9.1 - 10 = 0.2x

-0.9 = 0.2x | × 10

-9 = 2x | ÷ 2

-9/2 = x

x = -4.5

Answer: The last one equation gives a different value of x.

7 0

4 years ago

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What are the solutions to the quadratic equation 0=(x−4)(x+2)?

Alex777 [14]

Answer:

x = 4,

x = -2

Step-by-step explanation:

( x - 4 ) ( x + 2 ) = 0

Find out when the equation is 0,

When x = 4,

substitute in 4 for x,

( 4 - 4 ) ( 4 + 2 ) = 0

(0) ( 6) = 0 (any number multiplied by 0 is 0).

When x = -2

Substitue in -2 for x,

( -2 - 4 ) ( -2 + 2 ) = 0

(-6) (0) = 0 (again, any number multiplied by 0 is 0).

4 0

3 years ago

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Which equation shows the relationship between x and y?

atroni [7]

Answer:

d

Step-by-step explanation:

4 0

3 years ago

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The manager of a local nightclub has recently surveyed a random sample of 280 customers of the club. She would now like to deter

Lunna [17]

Answer:

$z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007$

$p_v = P(z>2.007) = 0.0224$

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

Step-by-step explanation:

We have the following info given:

$\bar X = 35.6$ represent the sampel mean for the age of customers

$\sigma = 5$ represent the population standard deviation

$n = 280$ represent the sample size selected

We want to test if the mean age of her customers is over 35 so then the system of hypothesis for this case are:

Null hypothesis: $\mu \leq 35$

Alternative hypothesis $\mu >35$

The statistic for this case is given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing the data given we got:

$z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007$

We can calculate the p value since we are conducting a right tailed test like this:

$p_v = P(z>2.007) = 0.0224$

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

5 0

3 years ago

Click here What is the average rate of change for this exponential function for the interval from x=2 to x = 4? 15 10 -5 5 10 O

Triss [41]

Answer:

c. 6

Step-by-step explanation:

Given

See attachment for graph

Required

Average rate of change