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IrinaVladis [17]
3 years ago
9

What is the y-intercept of the line whose equation is y = 1/2x - 3? A. -3 B. 1/2 C. 3

Mathematics
2 answers:
Ratling [72]3 years ago
8 0
A) y=-3. you add each side 1/2x to each side and that leaves you with -3
nevsk [136]3 years ago
4 0
The answer is A. -3...........
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A photocopy machine can print 405 copies in 9 minutes. what is the unit rate the machine can produce in 1 minute
Zolol [24]

Answer:45

Step-by-step explanation: divide 405 by 9

3 0
3 years ago
1. if the bearing of p from y is 048° what is the bearing of y from p .
Helen [10]

Answer:

See below and image

Step-by-step explanation:

180 + 48 = 228

180 + 55 = 235

5 0
1 year ago
A bookstore had 64 copies of a magazine. Yesterday, it sold 1/4 of them. Today, it sold 1/8 of what remained. How many copies do
just olya [345]

Answer: 42

Step-by-step explanation:

if the bookstore has 64 copies,

yesterday it was sold 1/4 , so it was sold 64/4=16

today it was sold 1/8 from what remained, which is 6(see below)

64-16=48

48/8=6

the store has left 48-6=42

6 0
3 years ago
In the Salk vaccine field trial, 400,000 children were part of a randomized controlled double-blind experiment. Just about half
EastWind [94]

Answer:

Step-by-step explanation:

From the given information:

The number of children that were randomly allocated to each vaccination group; n₁ = 200,000

No of polio cases X₁ = 57

Now, in the vaccine group:

the proportion of polio cases is:

\hat p_1 = \dfrac{57}{200000}

=  0.000285

The number of children that were randomly allocated to the placebo group, n₂ = 200,000

No of polio cases X₂ = 142

In the placebo group

the proportion of polio cases is:

\hat p_2 = \dfrac{142}{200000}

Null and alternative hypothesis is computed as follows:

H₀: There is no difference in the proportions of polio cases between both groups.  

H₁: There is a difference in the proportions of polio cases between both groups.

Let assume that the level of significance ∝ = 0.05

The test statistic  can be computed as:

Z = \dfrac{\hat p_1-\hat p_2}{\sqrt{\dfrac{\hat p_1 \hat q_1}{n_1}+ \dfrac{\hat p_2 \hat q_2}{n_2}}}

Z = \dfrac{0.000285-0.000710}{\sqrt{\dfrac{0.000285(1-0.000285)}{200000}+ \dfrac{0.000710(1-0.000710)}{200000}}}

Z = \dfrac{-4.25\times 10^{-4}}{\sqrt{\dfrac{0.000285(0.999715)}{200000}+ \dfrac{0.000710(0.99929)}{200000}}}

Z = - 6.03

P-value =  2P(Z < -6.03)

From the Z - tables

P-value =  2 × 0.0000

= 0.000

We reject the H₀ provided that P-value is very less.

Therefore, we may conclude that there is a difference in the proportions of polio cases between the vaccine group and placebo group not due to chance.

7 0
2 years ago
Negative 9 plus 2 over 3 plus open parentheses 1 plus 1 close parenthesis squared
Alik [6]

Answer:

⁻ \frac{19}{3}

Step-by-step explanation:

⁻9 + \frac{2}{3} (1+1)^{2}

⁻9 + \frac{2}{3} × 2^{2}

⁻9 + \frac{2}{3} × 4

⁻9 + \frac{2 x 4}{3}

⁻9 + \frac{8}{3}

⁻ \frac{19}{3}

8 0
3 years ago
Read 2 more answers
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