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3 years ago

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Match the equation with its graph

x + 8y = - 3" alt="6x + 8y = - 3" align="absmiddle" class="latex-formula">
i need help with graph asap

1 answer:

Veseljchak [2.6K]3 years ago

5 0

Here's the answer to the question in picture form

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A sample of 47 observations is selected from a normal population. The sample mean is 30, and the population standard deviation i

erma4kov [3.2K]

Answer:

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 29

Sample mean, $\bar{x}$ = 30

Sample size, n = 47

Alpha, α = 0.05

Population standard deviation, σ = 5

First, we design the null and the alternate hypothesis

$H_{0}: \mu \leq 29\\H_A: \mu > 29$

a) This is a one-tailed test because the alternate hypothesis is in greater than direction.

We use One-tailed z test to perform this hypothesis.

b) $z_{stat} > z_{critical}$ , we reject the null hypothesis and accept the alternate hypothesis and if $z_{stat} < z_{critical}$ , we accept the null hypothesis and reject the alternate hypothesis.

c) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{30 - 29}{\frac{5}{\sqrt{47}} } = 1.37$

d) Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} < z_{critical}$

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

e) P-value is 0.0853

On the basis of p value we again accept the null hypothesis.

5 0

3 years ago

Below are two linear equations . 1: y - 2 = 4/5 * (x + 4) 2: 5x + 4y = - 20 a) Are the lines 1 and 2 parallel , perpendicular or

Olenka [21]

Perpendicular and 2 I think that’s right

5 0

3 years ago

A farmer has a feed trough in the shape of rectangular prism with a height of 40 cm and a base that is 30 cm wide by 200 cm long

inysia [295]

Answer:

Step-by-step explanation:

You're welcome :)

5 0

3 years ago

Linda owns 4 shares of a certain stock. Yesterday the total value of her shares went down by 32 dollars. What was the change in

Annette [7]

Answer:

The value of each share decreased by $8.

Step-by-step explanation:

Number of shares of a certain stock Linda owned = 4

Total value of shares went down by = $32

So find the change in value of each share.

Solution:

Let the total value of each share in dollars be = $x$

Value of 4 shares in dollars will be = $4x$

The total value of shares went down by $32

So, new value of 4 shares = $4x-32$

New value of each share = $\frac{New\ value\ of\ total\ shares}{4}$

⇒ $\frac{4x-32}{4}$

Splitting the denominators.

⇒ $\frac{4x{{4}-\frac{32}}{4}$

⇒ $x-8$

Original value of each share in dollars was = $x$

New value of each share in dollars = $x-8$

Thus, we can see that the value of each share decreased by $8.

6 0

3 years ago

B' (-3,-4) is the image of B after a reflection in the y-axis,What are the coordinates of B?

gladu [14]

Answer:

The coordinates of B will be (3,-4).

Step-by-step explanation:

If a point on the coordinate plane reflects across the y-axis then its y-coordinate will not alter but the x-coordinate will change by its sign only.

Now, if B'(-3,-4) is the image of B after a reflection in the y-axis then we can say B is the image point when the original point is B'(-3,-4) after reflection in the y-axis.

Therefore, the coordinates of B will be (3,-4). (Answer)

3 0

3 years ago