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uysha [10]
2 years ago
9

Arrange the steps from start to finish to factor this expression using the grouping method x^2-5x-24 drag the tiles to the corre

ct boxes not all tiles will be used step by step
Mathematics
1 answer:
rosijanka [135]2 years ago
7 0

Answer:

(x - 8)(x + 3)

Step-by-step explanation:

x² - 5x - 24

Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)

The factors are - 8 and + 3 , since

- 8 × + 3 = - 24 and - 8 + 3 = - 5

Use these factors to split the x- term

x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )

= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term

= (x - 8)(x + 3) ← in factored form

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Paul owns a mobile wood-fired pizza oven operation. A couple of his clients complained about his dough at a recent catering, so
Makovka662 [10]

Answer: B. Do not reject H0, we cannot conclude the proportion of customer complaints is more for the old dough

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the old and the new dough players. The population proportions of customer complaints with the old and new dough would be p1 and p2

P1 - P2 = difference in the proportion of customer complaints with the old and new dough.

The null hypothesis is

H0 : p1 ≥ p2

pm - pw ≥ 0

The alternative hypothesis is

Ha : p1 < p2

p1 - p2 < 0

it is a left tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For old dough

x1 = 6

n1 = 385

P1 = 6/385 = 0.016

For new dough,

x2 = 16

n2 = 340

P2 = 16/340 = 0.047

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (6 + 16)/(385 + 340) = 0.03

1 - pc = 1 - 0.03 = 0.97

z = (Pm - Pw)/√pc(1 - pc)(1/nm + 1/nw)

z = (0.016 - 0.047)/√(0.03)(0.97)(1/385 + 1/340) = - 0.031/√0.00553857907

z = - 0.42

Since it is a left tailed test, we would find the p value for the area to the left of the z score. From the normal distribution table,

p value = 0.337

For a 95% confidence level, the significant level, alpha is

1 - 0.95 = 0.05

Since 0.05 < 0.337, we would accept the null hypothesis

Therefore, Do not reject H0, we cannot conclude the proportion of customer complaints is more for the old dough

7 0
3 years ago
You have 3/6 cup of brown sugar in your cupboard. The recipe for a dessert
Dmitry_Shevchenko [17]
Already have: 3/6 cups
need : 1/5
3/6 - 1/5=
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so you wil have 3/10 of brown sugar left
3 0
3 years ago
Slope of (-2,5)and(7,8)
grigory [225]

Answer:

The slope is 1/3

Step-by-step explanation:

8 – 5 = 3

_____________

7 – -2 = 9

3/9=1/3

4 0
3 years ago
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The number of lines of reflection about which the combined figure can reflect onto itself is ____
Fiesta28 [93]
A square(hope it helps)
7 0
3 years ago
The segments shown below could form a triangle. 4,3,6 PLZ HELP ASAP
Rzqust [24]

Answer:

Option A. True

Step-by-step explanation:

we know that

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we have

4,3 and 6

Applying the triangle inequality theorem

case 1) 4+3 > 6 -----> is true

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therefore

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