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3 years ago

Whar is the y-intercept of a line that has a slope of 1/4 and passes through point (8, 3)

Mathematics

1 answer:

sashaice [31]3 years ago

4 0

Answer:

y = a*x + b

a is the slope and b is the y-intercept (at x=0)

is the general formula.

let's plug in the x and y information of the point, and slope.

3 = 1/4 * 8 + b

that seems like we can solve for b

3 = 2 + b

1 = b

the y-intercept is at (0,1)

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50 points for answer.

noname [10]

Answer:

Point C: (4, 0)

Step-by-step explanation:

Parallelograms are quadrilaterals with two pairs of parallel sides, this means they will have the same slope between two line segments.

point slope form between two points: y - y1 = m (x - x1)

point A (2, 6) and D (4,4):

slope: point form, 6 - 4 = m(2 - 4)

2 = -2m

m (slope) = $\frac {2}{-2}$ = $\frac {Change in X position}{ Change in Y position}$

now that you know the change in position, apply this to vertice B to get the position of the final vertice.

B(2, 2)

C (2 +2, 2-2) = C(4, 0)

The final position of C vertice for parrallelogram A(2,6), B(2,2), D(4,4) will be C(4,0)

5 0

2 years ago

Read 2 more answers

Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In p

Bingel [31]

Answer:

Null hypothesis:H₀:- There is no significant difference between in drug resistance between the two states

Alternative Hypothesis :H₁:

There is significant difference between in drug resistance between the two states

B)

The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance

Rejected H₀

There is a significant difference in drug resistance between the two states.

P - value = 0.0066

P - value = 0.0066 < 0.02

D)

1) Reject H₀

There is a significant difference in drug resistance between the two states.

Step-by-step explanation:

Step(i):-

Given first sample size n₁ = 174

Suppose that, of 174 cases tested in a certain state, 11 were found to be drug-resistant.

First sample proportion

$p_{1} = \frac{x_{1} }{n_{1} } = \frac{11}{174} = 0.0632$

Given second sample size n₂ = 375

Given data Suppose also that, of 375 cases tested in another state, 7 were found to be drug-resistant

Second sample proportion

$p_{2} = \frac{x_{2} }{n_{2} } = \frac{7}{375} = 0.0186$

Step(ii):-

Null hypothesis:H₀:- There is no significant difference between in drug resistance between the two states

Alternative Hypothesis :H₁:

There is significant difference between in drug resistance between the two states

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

Where

$P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }$

$P = \frac{174 (0.0632) + 375 (0.0186) }{174+375 } = \frac{17.9718}{549} = 0.0327$

Q = 1 - P = 1 - 0.0327 = 0.9673

Step(iii):-

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

$Z = \frac{0.0632-0.0186 }{\sqrt{0.0327 X 0.9673(\frac{1}{174 }+\frac{1}{375 } ) } }$

Z = 2.7261

Level of significance = 0.02 or 0.98

The z-value = 2.054

The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance

Reject H₀

There is a significant difference in drug resistance between the two states.

P- value

P( Z > 2.7261) = 1 - P( Z < 2.726)

= 1 - ( 0.5 + A (2.72))

= 0.5 - 0.4967

= 0.0033

we will use two tailed test

2 P( Z > 2.7261) = 2 × 0.0033

= 0.0066

P - value = 0.0066 < 0.02

Reject H₀

There is a significant difference in drug resistance between the two states.

8 0

3 years ago

A bag of trail mix weighs 2 pounds. By weight, 18% is oats. Write a percent proportion to find weight of oats in mix

inysia [295]

2 pounds ---- 100%
x pounds -----18%
x=(2*18)/100=36/100=0.36 pounds

8 0

3 years ago

Read 2 more answers

Simplify the following: x^4 - 5x⁴ + x² - 6x²

lys-0071 [83]

Answer:

I think − 4 ⁴ − 5 ²

Step-by-step explanation:

I might be wrong.

3 0

2 years ago

Determine the domain and range of the relation {(3, 8), (3, 2), (5, 2), (6, 1), (9,1)} I don't understood domain and range. Help

Cerrena [4.2K]

Answer:

Domain:{3,5,6,9}Range:{8,2,1}

Step-by-step explanation:

The domain is the set of all the values of x . The range is the set of all the values of y

5 0

2 years ago

Whar is the y-intercept of a line that has a slope of 1/4 and passes through point (8, 3)​

Whar is the y-intercept of a line that has a slope of 1/4 and passes through point (8, 3)