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3 years ago

HELP............Graph. y+1=1/3(x−3) (it has to have 2 points)

1 answer:

5 0

The intercept method of graphing is quick and easy.

Find the x-intercept by setting y = 0 and solving for x:

y+1=1/3(x−3) => 0+1=1/3(x−3)
Multiply both sides by 3: 3 = x - 3. Then x = 6, and the x-int. is (6, 0).

Find the y-int by setting x = 0 and solving for y:

y+1=1/3(0−3)
Mult both sides by 3: 3y+3 = -3, so that 3y = -6, and y = -2.
Then the y-intercept is (0,-2).

Plot these 2 points. Then draw a line thru them.

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Hom many times can the customer drive around the track for $8

wlad13 [49]

...more information is clearly needed

3 0

3 years ago

Suppose 232subjects are treated with a drug that is used to treat pain and 50of them developed nausea. Use a 0.01significance le

Margarita [4]

Answer:

The correct option is B

$t = 0.6093$

$p-value = 0.27116$

The correct option is D

Step-by-step explanation:

From the question we are told that

The sample size is $n = 232$

The number that developed nausea is X = 50

The population proportion is p = 0.20

The null hypothesis is $H_o : p = 0.20$

The alternative hypothesis is $H_a : p > 0.20$

Generally the sample proportion is mathematically represented as

$\r p = \frac{50}{232}$

$\r p = 0.216$

Generally the test statistics is mathematically represented as

=> $t = \frac{\r p - p }{ \sqrt{ \frac{p(1- p )}{n} } }$

=> $t = \frac{ 0.216 - 0.20 }{ \sqrt{ \frac{ 0.20 (1- 0.20 )}{ 232} } }$

=> $t = 0.6093$

The p-value obtained from the z-table is

$p-value = P(Z > 0.6093) = 0.27116$

Given that the $p-value > \alpha$ then we fail to reject the null hypothesis

5 0

3 years ago

Solve for y. 6 x + 2y = z

vaieri [72.5K]

The answer to this question is 7

5 0

3 years ago

Read 2 more answers

Given: ∠A and ∠B are complementary angles.

Eddi Din [679]

Answer:

- For the statement $-3x=24$ , the reason is: Subtraction property of Equality

- For the statement $x=-8$ , the reason is: Division property of Equality.

- For the statement $m\angle B=-6(-8)-39$ , the reason is: Substitution property of Equality.

Step-by-step explanation:

The missing pictures are attached.

We must remember that:

- The Subtraction property of Equality states that:

$If\ a=b,\ then\ a+c=b+c$

- The Division property of Equality states that:

$If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}$

- The Substitution property of Equality states that:

$If\ a=b,\ then\ b\ can\ replace\ a$

Knowing this properties we can identify the missing reasons that correctly complete the proof.

- For the statement $-3x=24$ , the reason is:

Subtraction property of Equality

(Because it is obtained by subtracting 66 from both sides of $-3x+66=90$ )

- For the statement $x=-8$ , the reason is:

Division property of Equality

(Because it is obtained by dividing both sides of $-3x=24$ by -3)

- For the statement $m\angle B=-6(-8)-39$ , the reason is:

Substitution property of Equality

(Because it is obtained by substituting the value of "x" into $m\angle B=-6x-39$ )

7 0

4 years ago

Solve by completing the square: x^2+15=8x

Nataly_w [17]

x^2+15=8x
x^2-8x=-15
x^2 - 2 (x)(4) =-15
adding 16 on both sides
x^2 - 2 (x)(4) +16=-15+16
x^2 - 2 (x)(4) + 4^2= 1

(x-4)^2=1

taking square root on bothsides x-4 = +-1
so x-4=1 or x-4=-1
x-5 or x=3

3 0

3 years ago