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Orlov [11]
3 years ago
12

Alberto feeds his fish the same amount of food each day. A 2 ounce jar of fish food flakes has enough food for Alberto to feed h

is fish for 100 days. how many ounces of food will alberto need for 110 days?
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
6 0

If the 2-ounce jar of fish food is enough for 100 days, then for 110 days you can say: 2/100= 0.02 ounces of fish food per day in 100 days. So, because there are 10 more days, 10 x 0.02= 0.2 So, add 2.0 + 0.2= 2.2. The answer is 2.2 ounces of food.

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Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Constr
Aleonysh [2.5K]

Answer:

Step-by-step explanation:

Hello!

<em>Full text:</em>

<em>Listed below are amounts of court income and salaries paid to the town justice. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P value using  α  = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? </em>

<em> Court Income: 65.0, 402.0, 1567.0, 1132.0, 273.0, 251.0, 112.0, 156.0, 34.0 </em>

<em> Justice Salary: 31, 46, 91, 56, 47, 60, 26, 27, 18 </em>

<em>a. What are the null and alternative hypotheses? </em>

To test if there is a linear correlation between the court income and the justice salary, you have to use the following hypotheses:

H₀: ρ = 0

H₁: ρ ≠ 0

<em>b. Construct a scatterplot.  </em>See attachment.

<em>c. The linear correlation coefficient r is: _____. </em>

r= \frac{sumX_1X_2-\frac{(sumX_1)(sumX_2)}{n} }{\sqrt{[sumX_1^2-\frac{(sumX_1)^2}{n} ][sumX_2^2-\frac{(sumX_2)^2}{n} ]} }

n= 9; ∑X₁= 3992; ∑X₁²= 4078308; ∑X₂= 409; ∑X₂²= 2232; ∑X₁X₂= 262123

r= 0.86

<em>d. The P value is: _____. </em>

This test is two-tailed and so is its p-value. I've calculated it using a statistics software:

p-value: 0.0027

<em>e. Based on the results, does it appear that justices might profit by levying larger fines?</em>

Using the p-value approach, the decision rule is:

If the p-value ≤ α, reject the null hypothesis.

If the p-value > α, do not reject the null hypothesis.

The calculated p-value is less than the significance level, then the decision is to reject the null hypothesis.

At a 5% significance level you can conclude that there is a linear correlation between the "court income" and the "Justice salary"

I hope this helps!

6 0
3 years ago
Evie and Sophia are planning a cement patio by their swimming pool. A contractor says the cement will weigh 61⁄3 tons. How many
Marat540 [252]

Answer:

       It will take them 28 loads

Step-by-step explanation:

In this question, we are basically asked to divide both quantities and report the result

We divide

(61/3) / (3/4) = 244/9 = 27.11

It will take them 28 loads to haul all the cement in their pick up truck, which can carry 0.75 ton.

The options are incorrect.

8 0
2 years ago
Karli's shadow is 60 inches long. A nearby fire hydrant casts a shadow 40 inches long. If Karli is 48 inches tall, what is the h
Mademuasel [1]
The answer is twenty eight
8 0
3 years ago
I really need help with this​
Andreyy89

Answer:

x = 67

Step-by-step explanation:

If the measure of the entire chord is 166°, then if you add the two angles that form it together, it will equal 166.

So,

x + 15 + x + 17 = 166

Simplify.

2x + 32 = 166

Subtract 32 from both sides.

2x = 134

Divide both sides by 2.

x = 67

I hope this helps! Feel free to ask any questions!

3 0
2 years ago
The following table is a function.<br> х -1 5 7 2 6 3 8 4 1 y -3 3 7 -4 5 9 7 1 0
Kruka [31]

Answer:false

Step-by-step explanation:

8 0
2 years ago
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