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3 years ago

What is the equation of the line that passes through the points (15, 9) and (Negative 2, 9)? y =

Mathematics

1 answer:

Alja [10]3 years ago

7 0

Answer:

Y=9

Step-by-step explanation:

Because it passes through two points in a straight line, it must have no coefficient for x, just a Y-Intercept equal to the Y of the two points.

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Point A lies on the circle and has an x-coordinate of –3. Which value could be the y-coordinate for point A? 2.5 2.8

vodka [1.7K]

Answer:

the other point could be 2.8

Step-by-step explanation:

in circle values of both x and are almost equal in magnitude

since 2.8 is closest to 3 i magnitude

hence 2.8 will be correct option

this point will lie in third coordinate

as third coordinate has points

(-x,y)

and coordinates of points lie on the circle are

(-3,2.8)

8 0

3 years ago

Read 2 more answers

Find 20 hours is 30 minutes

Tom [10]

Answer:

24×20×30=14,400 minutes

4 0

2 years ago

Can someone solve number 22 step by step?

Nana76 [90]

Answer:

2/3

Step-by -step explanation:

5 0

3 years ago

Find the fourth-degree polynomial function with zeros 4, -4, 4i , and -4i . Write the function in factored form.

Iteru [2.4K]

Given:

A fourth-degree polynomial function has zeros 4, -4, 4i , and -4i .

To find:

The fourth-degree polynomial function in factored form.

Solution:

The factor for of nth degree polynomial is:

$P(x)=(x-a_1)(x-a_2)...(x-a_n)$

Where, $a_1,a_2,...,a_n$ are n zeros of the polynomial.

It is given that a fourth-degree polynomial function has zeros 4, -4, 4i , and -4i. So, the factor form of given polynomial is:

$P(x)=(x-4)(x-(-4))(x-4i)(x-(-4i))$

$P(x)=(x-4)(x+4)(x-4i)(x+4i)$

$P(x)=(x-4)(x+4)(x^2-(4i)^2)$ $[\because a^2-b^2=(a-b)(a+b)]$

On further simplification, we get

$P(x)=(x-4)(x+4)(x^2-4^2i^2)$

$P(x)=(x-4)(x+4)(x^2+16)$ $[\because i^2=-1]$

Therefore, the required fourth degree polynomial is $P(x)=(x-4)(x+4)(x^2+16)$ .

6 0

3 years ago

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

Olegator [25]

Answer:

Reject H₀. There is a significant difference in drug resistance between the two states.

Step-by-step explanation:

In this case we need to determine whether the data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states.

The significance level of the test is, α = 0.02.

(1)

The hypothesis can be defined as follows:

H₀: There is no difference between the proportions of drug-resistant cases in the two states, i.e. $p_{1} - p_{2}= 0$ .

Hₐ: There is a statistically significant difference between the proportions of drug-resistant cases in the two states, i.e. $p_{1} - p_{2}\neq 0$ .

(2)

Compute the sample proportions and total proportion as follows:

$\hat p_{1}=\frac{12}{189}=0.063\\\\\hat p_{2}=\frac{8}{429}=0.019\\\\\hat p=\frac{12+8}{189+429}=0.032\\$

Compute the test statistic value as follows:

$Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}$

$=\frac{0.063-0.019}{\sqrt{0.032(1-0.032)\times [\frac{1}{189}+\frac{1}{429}]}}\\\\=2.86$

The test statistic value is 2.86.

(3)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

$p-value=2\cdot P(Z>2.86)=2\times 0.00212=0.00424$

p-value = 0.00424 < α = 0.02.

The null hypothesis will be rejected at 0.02 significance level.

Reject H₀. There is a significant difference in drug resistance between the two states.

7 0

3 years ago