Linear factors of f(x)

Find the slope of the ordered pairs below. Explain how you found the slope. (6,-3) and (6,-2)

slega [8]

Answer:

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Step-by-step explanation:

We can find the slope of a line using two by using the following

m = (y2-y1)/(x2-x1)

= (-2 - -3)/(6-6)

= (-2+3)/( 6-6)

=1/0

We cannot divide by 0 so the slope is undefined

5 0

3 years ago

Read 2 more answers

a refreshment jug for the baseball team holds 20 gallons of water to make an energy drink one cup of mix is used for every 2 gal

Elis [28]

10 cups of mix - you divide 20 by 2

5 0

3 years ago

Read 2 more answers

Ahmad just bought a used sailboat with two sails that need replacing. How much sail fabric will Ahmad need if he replaces sail A

ValentinkaMS [17]

Answer:

sail a = 81ft²

sail b base = 12ft

Step-by-step explanation:

question 5:

the measurements for sail A are 18ft(height) and 9ft (base)

the formula to find the the area of a triangle is (b · h) 1/2

(9 · 18) 1/2 = (162) 1/2 = 81

so ahmad will need 81ft² of fabric for sail a

question 6:

we know that the formula to find the area of a triangle is (b · h) 1/2 = a, since we know the height and the area of the triangle we plug them into the equation to find the measurement of the base.

(b · 18) 1/2 = 108

$\frac{(b . 18) 1/2}{1/2}$ = 108/ 1/2

(b · 18) = 216

18b = 216

18b/18 = 216/18

b= 12

check your work:

(12 · 18) 1/2 = 108

(216) 1/2 = 108

108 = 108 true!

the base measurement for sail b is 12ft

hope this helps and have a great day!!

8 0

3 years ago

For each shipment of parts a manufacturer wants to accept only those shipments with at most 10% defective parts. A large shipmen

Stella [2.4K]

Answer:

(a) The p-value of the test statistic should be 0.33.

(b) No, there is not sufficient evidence to reject the entire shipment.

Step-by-step explanation:

We are given that for each shipment of parts a manufacturer wants to accept only those shipments with at most 10% defective parts.

A quality control manager randomly selects 50 of the parts from the shipment and finds that 6 parts are defective.

Let p = proportion of defective parts among the current shipment.

So, Null Hypothesis, $H_0$ : p $\leq$ 10% {means that the defective parts in the shipment is at most 10%}

Alternate Hypothesis, $H_A$ : p > 10% {means that the defective parts in the shipment is greater 10%}

The test statistics that would be used here One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of parts that are defective among the current shipment = $\frac{6}{50}$ = 12%

n = sample of parts from the shipment = 50

So, test statistics = $\frac{0.12-0.10}{\sqrt{\frac{0.12(1-0.12)}{50} } }$

= 0.44

The value of z test statistics is 0.44.

(a) Now, P-value of the test statistics is given by the following formula;

P-value = P(Z > 0.44) = 1 - P(Z $\leq$ 0.44)

= 1 - 0.67003 = 0.3299 ≈ 0.33

(b) Since, the P-value of test statistics is more than the level of significance as 0.33 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the defective parts in the shipment is at most 10%.

4 0

3 years ago

A women bought some large frames for $14 each and some small frames $5 each at a closeout sale. if she bought 24 frames for $183

TEA [102]

Let the no of large frames bought be X

Then the no of smaller frames bought will be (17 - X )

Cost incurred = 14X + 5( 17 - X) = 130

14X + 85 - 5X = 130

9X = 45

X = 5
Answer 5 large frames and 12 small frames

Check

5X14 = 70
12X5 = 60
ADD = 130$

7 0

3 years ago