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2 years ago

Eugene's grandmother is teaching him how to make her salsa recipe. Each batch of salsa requires 1

Mathematics

1 answer:

melisa1 [442]2 years ago

3 0

22 batches. 10/2 cups of red onions is 20 batches. 1/2 cups of red onions is 2 batches. 20 + 2 = 22.

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An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample

valentina_108 [34]

Answer:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

Step-by-step explanation:

Information given

60, 56, 60, 55, 70, 55, 60, and 55.

We can calculate the mean and deviation with these formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

Replacing we got:

$\bar X=58.875$ represent the mean

$s=5.083$ represent the sample standard deviation for the sample

$n=8$ sample size

$\mu_o =60$ represent the value that we want to test

$\alpha=0.1$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is less than 60, the system of hypothesis would be:

Null hypothesis: $\mu \geq 60$

Alternative hypothesis: $\mu < 60$

The statistic would be given by:

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

Replacing the info we got:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

3 0

2 years ago

Plz help MATH HW<br>explain/answer

Misha Larkins [42]

No because the sum could also be irrational number which for example it could be square root of 9 or 49

Hope this helps answer your question

6 0

3 years ago

Find the center of the circle (x-2)^2+(y-8)^2=33

enyata [817]

Answer:

The center is (2,8)

Step-by-step explanation:

The equation of a circle is written as

(x-h)^2+ (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-2)^2+(y-8)^2=33

The center is (2,8) and the radius is sqrt(33)

6 0

3 years ago

A cylinder has a radius of 8 meters and a height of 4 meters. .

Novay_Z [31]

<h2><u>Solution</u> :-</h2>

Given : Radius of cylinder = 8 m

Height = 4 m

Volume of cylinder = πr²h cu. units

= 22/7 × 8 × 8 × 4 m³

= 804.57 m³ (approx.)

Curved surface area = 2πrh sq. units

= 2 × 22/7 × 8 × 4 m²

= 201.14 m² (approx.)

Total surface area = 2πr(r + h) sq. units

= 2 × 22/7 × 8 (8 + 4) m²

= 2 × 22/7 × 8 × 12 m²

= 603.43 (approx.)

4 0

3 years ago

Fido wants to buy a new car. He will need to get a car loan. Fido decides to wait for a few months until his credit history

Marta_Voda [28]

Answer:

Fido's decision is sensible because the cost of the car loan should be less this credit history improves

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers