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Andrei [34K]
3 years ago
12

Find the slope of the line that passes through the points (-2, 4) and (-5, -6).

Mathematics
1 answer:
zaharov [31]3 years ago
6 0

Answer:

10/3

Step-by-step explanation:

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

= (4 + 6)/(-2 + 5)

= 10/3

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Nine voltage measurements in a circuit have produced the following values: 12.09, 12.05, 11.94, 11.99, 12.12, 12.05, 12.02, 11.9
Debora [2.8K]

Answer:

we can not reject any value

Step-by-step explanation: From data we can test the highest and the lowest value to evaluate if one of these values are out of certain confidence Interval

If we established CI = 95 % then  α = 5 % and  α/2 = 0,025

From data we find the mean of the values

μ₀  = 12,03   and σ = 0,07

From z table we find z score for 0,025 is  z(c) = ± 1,96

So limits of our CI are:

12,03 + 1,96 =  13,99

12,03 - 1,96 = 10,07

And all our values are within  ( 10,07 , 13,99)

So we can not reject any value

4 0
3 years ago
10.5% of the population is 65 or older. Find the probability that the following number of persons selected at random from 25 peo
julia-pushkina [17]

Given:

The sample size n=25

Probability of population is 65 or older is 10.5%.

This date follows the binomial distribution,

\begin{gathered} n=25,p=0.105 \\ X\rightarrow B(n=25,p=0.105) \end{gathered}

To find the probability that at most 2 are 65 or older,

\begin{gathered} P(X=x)=^nC_x(p)^x(1-p)^{n-x} \\ P(0\leq X\leq2)=P(X=0)+P(X=1)+P(X=2) \\ =^{25}C_0(0.105)^0(1-0.105)^{25-0}+^{25}C_1(0.105)^1(1-0.105)^{25-1}+^{25}C_2(0.105)^2(1-0.105)^{25-2} \\ =0.0625+0.1832+0.2579 \\ =0.5036 \\ \approx0.504 \end{gathered}

Answer: Probability is 0.504 .

8 0
1 year ago
A rectangle is 3 feet long by 4 feet wide
egoroff_w [7]

Answer:

20ft^2

Step-by-step explanation:

The length is currently three feet, if you add two feet to three that makes five feet. Five times four is twenty.

I hope this helps!

7 0
2 years ago
Read 2 more answers
Select the correct answer.
Tpy6a [65]

Answer:

your answer is D.

Step-by-step explanation:

Using sine will give you 3*square root of 3

3 0
3 years ago
Read 2 more answers
Find the 60th term of the arithmetic sequence <br> −29,−49,−69,...
andreev551 [17]

Answer:

89

Step-by-step explanation:

it is basically counting by 2s but rather by 20s.

20, 40,60,80

all you do is add a 9 at the end.

6 0
3 years ago
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