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2 years ago

10

What is 4/5+1/3 as a mixed number

1 answer:

Alona [7]2 years ago

3 0

Answer:

1 and 2/15

Step-by-step explanation:

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The sample mean is x = 12.8%. let x be a random variable that represents the percentage of wheat crop in that county lost to hai

katen-ka-za [31]

Given that $\bar{x}=12.8\%$ and $\sigma=5.0\%$ , given that the population mean is $\mu=11\%$ and the sample size is n = 16, the test statistic is given by

$z= \frac{\bar{x}-\mu}{\sigma/\sqrt{n}} \\ \\ = \frac{12.8-11}{5/\sqrt{16}} \\ \\ = \frac{1.8}{5/4} = \frac{1.8}{1.25} \\ \\ =1.44 \\ \\ \Rightarrow p-value=p(z\ \textgreater \ 1.44) \\ \\ =1-P(z\ \textless \ 1.44)=1-0.92507 \\ \\ =0.07493$

Since the test is a two tailed test, the p-value is 2(0.07493) = 0.14986

Since the p-value is greater the significant level of α = 0.01, thus, we fail to reject the null hypothesis and conclude that there is no sufficient evidence that <span>the percentage of wheat crop lost to hail in that county is different from the national mean of 11%</span>.

8 0

2 years ago

Need help on this question please

aliina [53]

Answer:

lines are perpendicular

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

Where c is the value of the x- coordinates the line passes through

x = - 1 ← is the equation of a vertical line

The equation of a horizontal line parallel to the x- axis is

y = c

Where c is the value of the y- coordinates the line passes through

y = - 1 ← is a horizontal line

Since lines are vertical and horizontal they are perpendicular to each other.

4 0

3 years ago

Read 2 more answers

Adam is a field goal kicker. If he made 30 field goals out of his last 32 attempts, what percent of the attempts did he make?

hodyreva [135]

Did it show a picture too?

8 0

2 years ago

Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm

VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

<u>Factored form of a parabola</u>

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

Therefore, the equation of the parabola in factored form is:

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

$\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)$

$\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)$

$\implies y=2(x^2-2x-4)$

$\implies y=2x^2-4x-8$

6 0

1 year ago

Jane’s backyard is shaped like a parallelogram. The base of the parallelogram is 90 feet, and the height is 25 feet. What is the

Travka [436]

Answer:

2,250

Step-by-step explanation:

For area you have to multiply the base and width. So 90 times 25 and then you get the answer of 2,250.

4 0

3 years ago

Read 2 more answers