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melisa1 [442]
3 years ago
15

A line that has a slope of 1/2 and passes through the point (-4,7)

Mathematics
1 answer:
Doss [256]3 years ago
7 0

Answer:

y= ½x+9

Step-by-step explanation:

Use desmos makes it easier

You might be interested in
The percentages of voters classed as Liberals in three different election districts are divided as follows: in the first distric
ASHA 777 [7]

Answer:

47%

Step-by-step explanation:

Chance of liberal in first district = 21%

Chance of liberal in second district = 45%

Chance of liberal in third district = 75%

Assuming that all districts are equally likely to be selected, the probability that a randomly selected voter is a liberal is given by the average of the probability of a voter being a liberal in each district:

P = \frac{0.21+0.45+0.75}{3}= 47\%

The probability that she will be a Liberal is 47%.

8 0
3 years ago
Two lines, C and D, are represented by the equations given below:
defon
Substitue y=3x+2 to the y in y=x+10.
3x+2= x+10

Subtract 2 to both sides.
3x=x+8

Subtract x to both sides.
2x=8

Divide both sides by 2
2x/2 = 8/2

You are left with x = 4

Choose one equation and replace x by 4.
y = (4) + 10
y= 14

Now, you have x = 4 and y= 14. So, your ordered pair is (4,14) because both lines pass through that point.

If you do not want to do this solution, I suggest you graph it using the slope.
8 0
3 years ago
The life spans of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard
german

The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is 32.22%

Given here,

Mean (μ) = 3 years 6 months

= (3×12)+6 = 42 months

Standard deviation (σ) = 9 months

We will find the z-score using the formula: z = (X - μ)/σ

Here X₁ = 2 years 3 months

= (2×12)+3 = 27 months

and X₂ = 3 years 3 months

= (3×12)+3 = 39 months

So, z (X₁ =27) = \frac{27-42}{9} = \frac{-15}{9}= \frac{-5}{3}=-1.666...

and z (X₂ =39) = \frac{39-42}{9}  = \frac{-3}{9}= \frac{-1}{3}= -0.333...

According to the standard normal table,

P(z> -1.666...) = 0.0485 and P(z< -0.333...) = 0.3707

So, P(27 < X < 39)

= 0.3707 - 0.0485

= 0.3222

= 32.22 % [Multiplying by 100 for getting percentage]

So, the probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is 32.22%

4 0
3 years ago
Read 2 more answers
A home pregnancy test is not always accurate. suppose the probability that the test indicates that a woman is pregnant when she
Gnom [1K]
Set Events:
T=tests positive~T=tests negativeP=subject is pregnant~P=subject is not pregnant
We are givenP(T n ~P)=0.02P(~T n P)=0.03P(P)=0.7
recall by definition of conditional probabilityP(A|B)=P(A n B)/P(B)

Need to find P(P|~T)
First step: make a contingency diagram of probabilities (intersection, n)
          P       ~P       sum 
T       0.67   0.02     0.69=P(T) 
~T     0.03   0.28     0.31=P(~T) 
sum   0.70  0.30     1.00
      =P(P)  =P(~P)

therefore
P(P|~T)=P(P n ~T)/P(~T)=0.03/0.31   [ both read off the contingency table ]
=0.0968

4 0
3 years ago
If a graph shows the function y=3x what are the coordinates of the intercepts
vladimir2022 [97]

Answer:

graph{3x+5 [-10, 10, -5, 5]}

x

intercept:  

x

=

−

5

3

 

y

intercept:  

y

=

5

Explanation:

For a linear graph, the quickest way to sketch the function is to determine the  

x

and  

y

intercepts and draw a line between the two: this line is our graph.

Let's calculate the  

y

intercept first:

With any function,  

y

intercepts where  

x

=

0

.

Therefore, substituting  

x

=

0

into the equation, we get:

y

=

3

⋅

0

+

5

y

=

5

Therefore, the  

y

intercept cuts through the point (0,5)

Let's calculate the  

x

intercept next:

Recall that with any function:  

y

intercepts where  

x

=

0

.

The opposite is also true: with any function  

x

intercepts where  

y

=

0

.

If we substitute  

y

=

0

, we get:

0

=

3

x

+

5

Let's now rearrange and solve for  

x

to calculate the  

x

intercept.

−

5

=

3

x

 

−

5

3

=

x

Therefore, the  

x

intercept cuts through the point  

(

−

5

3

,

0

)

.

Now we have both the  

x

and  

y

intercepts, all we have to do is essentially plot both intercepts on a set of axis and draw a line between them

The graph of the function  

y

=

3

x

+

5

:

graph{3x+5 [-10, 10, -5, 5]}



3 0
3 years ago
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