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bogdanovich [222]
3 years ago
13

Connie has to solve the following problem.

Mathematics
1 answer:
Sever21 [200]3 years ago
8 0

Answer:

\$45

Step-by-step explanation:

we know that

5 boxes of cereal costs $12.50

so

Using proportion

Find how much will 18 boxes cost

Let

x -----> the cost of 18 boxes

\frac{12.5}{5}\frac{\$}{boxes}=\frac{x}{18}\frac{\$}{boxes}\\ \\x=12.5*18/5\\ \\x=\$45

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NEED HELP. WILL MARK BRAINLIST. DO NOT SPAM
Tcecarenko [31]

Answer:

  a) x = {-2, 1, 3} are the zeros

  b) y = (x +2)(x -1)(x -3)

  c) y = x^3 -2x^2 -5x +6

Step-by-step explanation:

a) The zeros are the values of x where the graph crosses y=0. Those values are x = -2, x = 1, x = 3.

__

b) If "a" is a zero, then (x-a) is a factor. The factored polynomial is ...

  y = (x +2)(x -1)(x -3)

__

c) This can be multiplied out using the distributive property several times.

  y = (x +2)(x(x -3) -1(x -3))

  = (x +2)(x^2 -3x -x +3)

  = (x +2)(x^2 -4x +3)

  = x(x^2 -4x +3) +2(x^2 -4x +3)

  = x^3 -4x^2 +3x +2x^2 -8x +6

  y = x^3 -2x^2 -5x +6

_____

The supplied graph apparently scales this vertically by a factor of 1/2, since its y-intercept is at (0, 3), not (0, 6).

5 0
3 years ago
As a centerpiece for her design, Hevesh build a tower 72 inches tall made of dominoes that are 2 2/5 inches tall. How many rows
kondor19780726 [428]

Answer:

72 divided by 2 2/5 (or 2.4) = 30 in a row

6 0
2 years ago
Read 2 more answers
A sample of 114 mortgages approved during the current year showed that 36 were issued to a single-earner family or individual. T
kodGreya [7K]

Answer:

a-1) Reject H0 if zcalc > 1.645

a-2) z=\frac{0.316 -0.28}{\sqrt{\frac{0.28(1-0.28)}{114}}}=0.8561  

a-3) ii. False

b) ii. No

c) iii. n π > 10 and n(1 − π ) > 10

Step-by-step explanation:

1) Data given and notation

n=114 represent the random sample taken

X=36 represent the people that were issued to a single-earner family or individual

\hat p=\frac{36}{114}=0.316 estimated proportion of people that were issued to a single-earner family or individual

p_o=0.28 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

(a-1) H0: π ≤ .28 versus H1: π > .28. Choose the right option. Reject H0 if zcalc > 1.645 Reject H0 if zcalc < 1.645 a b

We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.28.:  

Null hypothesis:p\geq 0.28  

Alternative hypothesis:p < 0.28  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

The rejection zone would be on this case :

Reject H0 if zcalc > 1.645

Since is a right tailed test

(a-2) Calculate the test statistic. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.) Test statistic

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.316 -0.28}{\sqrt{\frac{0.28(1-0.28)}{114}}}=0.8561  

(a-3) The null hypothesis should be rejected.

False, since our calculated value is less than our critical value we Fails to reject the null hypothesis

(b) Is this a close decision?

False the calculated value is significantly less than the critical value so we FAIL to reject the null hypothesis with enough confidence.

(c) State any assumptions that are required.

In order to satisfy the conditions we need the following two requirements:

iii. n π > 10 and n(1 − π ) > 10

And are satisfied:

114*0.28=31.92>10

114(1-0.28)=82,08>10

7 0
3 years ago
How do I solve the linear equation of 27=6(x)+4(y) over 20=2(x)+5(y)
larisa86 [58]
<u>27 = 6x + 4y </u>= 1 7/20 = 3 4/5<u>
</u>20 = 2x + 5y<u>
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3 years ago
Can someone help lol
djverab [1.8K]

Answer:

p=30 q=150

Step-by-step explanation:

7 0
2 years ago
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