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Verizon [17]
2 years ago
10

Find the equation of the line below?

Mathematics
2 answers:
castortr0y [4]2 years ago
8 0

Answer:

y = 1/2x + 1/2

Step-by-step explanation:

first list a few points to find the slope

(1,1) (3, 2)

y2 - y1/x2 - x1

2 - 1/3 - 1

1/2

y = 1/2x + b

to find the slope use a point you didnt use yet (since its tricky to find the intercept looking at the graph)

(-1, 0)

0 = 1/2(-1) + b

0 = -1/2 + b

b = 1/ 2

lets check:

point: (-3, -1)

y = 1/2x + 1/2

-1 = 1/2(-3) + 1/2 ?

-1 = -3/2 + 1/2 ?

-1 = -1

kirill115 [55]2 years ago
4 0

Answer:

Slope intercept form;

y = mx + b

If we look at the graph, we can see the line intercepts with y axis at around 0.5, so <u>0.5 is our y - intercept.</u>

If we look at the slope it rises 1/2

Though we can double check by using two points of the line:-

Δy     y2 - y1

___= ______

Δx      x2 - x1

One point of the line, (1,1)

Second point of the line, (3,2)

Plug it into the formula:

2 - 1          1

____ =  ____, <u>1/2 is the slope</u>

3 - 1          2

Now we use it in our equation;

y = 1/2x + 0.5

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A school ice hockey game has three 20-minute periods. Collin plays 12 minutes each period. Which ratio represents Collin's playi
Korvikt [17]

Answer: 36:60


Step-by-step explanation:

3x20=60,3x12=36

3 0
3 years ago
Drew has more than 4 times as many baseball cards as mark. Katie has fewer than half as many cards as mark. Mark has m baseball
Sphinxa [80]

Answer:

Cards with Mark = 30

Cards with Drew  = 120

Cards with Katie = 12

Step-by-step explanation:

The complete question is

Drew has 4 times as many baseball cards as Mark. Katie has 3 fewer than than half as many cards  as Mark. In all they have 162 baseball cards. How many does each have?

Solution -

Let the number of cards with Mark be "X"

Number of cards with Drew = 4 *X = 4X

Number of Cards with Katies = 0.5 X -3

Sum of all the cards is equal to 162

X+4X + 0.5 X -3 = 162

5.5 X = 165

X = 30

Cards with Mark = 30

Cards with Drew = 4 * 30 = 120

Cards with Katei = 15-3 = 12

5 0
2 years ago
Using traditional methods, it takes 10.1 hours to receive a basic driving license. A new license training method using Computer
Law Incorporation [45]

Answer:

We need to conduct a hypothesis in order to check if the technique performs differently than the traditional method, the system of hypothesis would be:  

Null hypothesis:\mu =10.1  

Alternative hypothesis:\mu \neq 10.1

t=\frac{10.5-10.1}{\frac{1.4}{\sqrt{12}}}=0.990    

p_v =2*P(t_{(11)}>0.990)=0.343    

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL  reject the null hypothesis, so we can't conclude that the technique performs differently than the traditional method at 10% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=10.5 represent the sample mean

s=1.4 represent the sample standard deviation

n=12 sample size  

\mu_o =10.1 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the technique performs differently than the traditional method, the system of hypothesis would be:  

Null hypothesis:\mu =10.1  

Alternative hypothesis:\mu \neq 10.1  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{10.5-10.1}{\frac{1.4}{\sqrt{12}}}=0.990    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=12-1=11  

Since is a two sided test the p value would be:  

p_v =2*P(t_{(11)}>0.990)=0.343  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL  reject the null hypothesis, so we can't conclude that the technique performs differently than the traditional method at 10% of signficance.  

7 0
3 years ago
Kendra sold 200 shares through her broker on June 8. The price per share was $22.10. The broker charged her a 0.5% commission on
KiRa [710]

<u><em>Answer:</em></u>

A. $4397.9

<u><em>Explanation:</em></u>

We are given that Kendra sold 200 shares and that the price per share was $22.1

<u>This means that:</u>

Total value = 200 * 22.1 = $4420

Now, we know that the broker charged 0.5% commission on the total value

<u>This means that:</u>

Broker's charge = 0.5% * 4420 = 0.005 * 4420 = $22.1

<u>Therefore,</u>

Kendra's return = Total value - broker's charge

Kendra's return = 4420 - 22.1 = $4397.9

Hope this helps :)

7 0
3 years ago
The product lies between
Ede4ka [16]
Were is the question for I help u
7 0
3 years ago
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