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Pavel [41]
3 years ago
10

The wind speed changed negative 5 mph every hour for w hour's. the total change was negative 30 mph. How many hours did the chan

ge take?
Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0
6 hrs it took to change
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Write an equation for the line perpendicular to 4x - 12y = 2 and passing through point (10, -1)
MrMuchimi

Answer:

3x+y=-31

Step-by-step explanation:

4x - 12y = 2\\12y = 4x-2\\y=\frac{x}{3}-\frac{1}{6}

Slope of perpendicular line is -3.

y=-3x+b

Sub in the point (10, -1)

-1=-3(10)+b\\-1=30+b\\b=-31\\y=-3x-31\\3x+y=-31

8 0
3 years ago
PLEASE HELP THIS IS DUE!!!
Rashid [163]

Answer:

432

Step-by-step explanation:

b x h (base x height)

the base is 27 yards and the height is 16.

27 x 16 = 432

5 0
3 years ago
What is the circumference of the circle?
VashaNatasha [74]
What is the circumference of the circle?

answer: D) 69.08

explanation:
7 0
3 years ago
Read 2 more answers
A quality analyst of a tennis racquet manufacturing plant investigates if the length of a junior's tennis racquet conforms to th
Burka [1]

Answer:

Confidence interval : 21.506 to 24.493

Step-by-step explanation:

A quality analyst selects twenty racquets and obtains the following lengths:

21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

So, sample size = n =20

Now we are supposed to find Construct a 99.9% confidence interval for the mean length of all the junior's tennis racquets manufactured at this plant.

Since n < 30

So we will use t-distribution

Confidence level = 99.9%

Significance level = α = 0.001

Now calculate the sample mean

X=21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

Sample mean = \bar{x}=\frac{\sum x}{n}

Sample mean = \bar{x}=\frac{21+25+23+22+24+21+25+21+23+ 26+ 21+24+22+ 24+23+21+ 21+ 26+23+ 24}{20}

Sample mean = \bar{x}=23

Sample standard deviation = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}

Sample standard deviation = \sqrt{\frac{(21-23)^2+(25-23)^2+(23-23)^2+(22-23)^2+(24-23)^2+(21-23)^2+(25-23)^2+(21-23)^2+(23-23)^2+(26-23)^2+(21-23)^2+(24-23)^2+(22-23)^2+(24-23)^2+(23-23)^2+(21-23)^2+(21-23)^2+(26-23)^2+(23-23)^2+(24-23)^2}{20-1}}

Sample standard deviation= s = 1.72

Degree of freedom = n-1 = 20-1 -19

Critical value of t using the t-distribution table t_{\frac{\alpha}{2} = 3.883

Formula of confidence interval : \bar{x} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}}

Substitute the values in the formula

Confidence interval : 23 \pm 1.73 \times \frac{1.72}{\sqrt{20}}

Confidence interval : 23 -3.883 \times \frac{1.72}{\sqrt{20}} to 23 + 3.883 \times \frac{1.72}{\sqrt{20}}

Confidence interval : 21.506 to 24.493

Hence Confidence interval : 21.506 to 24.493

3 0
3 years ago
Read 2 more answers
A store is instructed by corporate headquarters to put a markup of 25​% on all items. An item costing ​$16 is displayed by the s
tigry1 [53]

Answer:

$20

Step-by-step explanation:

the manager's error could likely be putting the percentage mark up rather than the markup price added to the original price

25%×16

= $4

mark up price= (16+4)$

= $20

7 0
3 years ago
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