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3 years ago

How can I find the slope to this I need help

Mathematics

1 answer:

Dmitrij [34]3 years ago

7 0

Answer:

Your slope is -1

Step-by-step explanation:

Find the change in x and the change in y and put it in change in y over change in x.

Δx = -1 - -2 = 1

Δy = -1 - 0 = -1

Slope = rise over run = Change in y over change in x = Δy/Δx = -1/1

Therefore the slope is -1/1 which is written as just -1

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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

Can someone help me with this question?

charle [14.2K]

Finding the sol'n to f(x) - g(x) = 0 is the same as finding the solution of f(x)=g(x). You could do this analytically by setting the actual function f(x) = g(x) and solving for x (and then for y), or you could estimate the solution from the given graph. The two lines intersect at approx. x=-3.75, y=2.5.

6 0

3 years ago

Help plsss A sign in a bakery gives these options: 12 cupcakes for $29, 24 cupcakes for $56, and 50 cupcakes for $129 a) Find ea

xxTIMURxx [149]

Answer:

A) $2.42, $2.33, $2.58

B) The best deal is 24 cupcakes for $56

Step-by-step explanation:

5 0

2 years ago

Determine the explicit formula of the following sequence -3,-18,-108...

kvv77 [185]

Answer:

$a_{n}$ = - 3 $(6)^{n-1}$

Step-by-step explanation:

Note the common ratio r between consecutive terms, that is

r = - 18 ÷ - 3 = - 108 ÷ - 18 = 6

This indicates the sequence is geometric with n th term ( explicit formula )

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

Here a = - 3 and r = 6, thus

$a_{n}$ = - 3 $(6)^{n-1}$

3 0

2 years ago

On the first day it was posted online, a music video got 250 views. The number of views that the video got each day increased by

Evgen [1.6K]

You can use a function to solve this.

Since we are talking about percents, this will be an exponential function.

The general form of exponential function is $f(x) = a(b)^x$ where a is the y intercept and b is the rate of change.

For this question, we have a percentage thingamajig here. The first thing we need to do is convert the percentage to a decimal. So if it is a 16% increase, we will convert that to 1.16. 1.16 will be the variable b

The video got 250 views on the first day. So that means the variable a will equal 250.

The final function will be: $f(x) = 250(1.16)^x$

To finally solve this, we need to replace f(x) with f(12) and the other x in the formula with 12 as well. This is because the question is asking for the number of views in 12 days.

So after solving the function, we get 1484.0067... but since we can't have a fraction of a view, we will round that down to 1484 views.

Hope this helps!

3 0

2 years ago

How can I find the slope to this I need help​

How can I find the slope to this I need help