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madreJ [45]
3 years ago
12

Ashley is ordering 6 bags of cat food from Canada. Each bag has a mass of 7.5kg . To determine the shipping costs, Ashley needs

to know the total weight in pounds. What is the weight of the cat food in pounds?
Use 1kg = 2.2lb and do not round any computations.
Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0

Answer: 99 lbs

Step-by-step explanation: First, you need to know how much the cat food weighs in total: 6*7.5=45kg

Next, you need to convert the kg into lbs: 45* 2.2=99 lbs

(note 1 kg=2.2 lbs is already rounded)

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A College Alcohol Study has interviewed random samples of students at four-year colleges. In the most recent study, 494 of 1000
Vinil7 [7]

Answer:

The 95% confidence interval for the difference between the proportion of women who drink alcohol and the proportion of men who drink alcohol is (-0.102, -0.014) or (-10.2%, -1.4%).

Step-by-step explanation:

We want to calculate the bounds of a 95% confidence interval of the difference between proportions.

For a 95% CI, the critical value for z is z=1.96.

The sample 1 (women), of size n1=1000 has a proportion of p1=0.494.

p_1=X_1/n_1=494/1000=0.494

The sample 2 (men), of size n2=1000 has a proportion of p2=0.552.

p_2=X_2/n_2=552/1000=0.552

The difference between proportions is (p1-p2)=-0.058.

p_d=p_1-p_2=0.494-0.552=-0.058

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{494+552}{1000+1000}=\dfrac{1046}{2000}=0.523

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.523*0.477}{1000}+\dfrac{0.523*0.477}{1000}}\\\\\\s_{p1-p2}=\sqrt{0.000249+0.000249}=\sqrt{0.000499}=0.022

Then, the margin of error is:

MOE=z \cdot s_{p1-p2}=1.96\cdot 0.022=0.0438

Then, the lower and upper bounds of the confidence interval are:

LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.058-0.0438=-0.102\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.058+0.0438=-0.014

The 95% confidence interval for the difference between proportions is (-0.102, -0.014).

7 0
2 years ago
Write the equition of the line that passes through the pair of points (8,-8) and (9,-4)
ANTONII [103]

Answer: More Info

Step-by-step explanation:

8 0
3 years ago
Graph the system. Tell whether the system has one solution, no solution, or infinitely many solutions. y = –2x + 1 y = –2x – 3
Alchen [17]
Let's try the actual solution of the system

<span>y = –2x + 1
y = –2x – 3

Note that the slopes of the graphs of these two lines are the same:  -2.

That means that the lines are parallel to one another.

Only the y-intercepts (1 and -3) are different.

Since the 2 lines never intersect, the system has no solution.

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3 years ago
What is a synthetic division used for
Ksivusya [100]

Answer:

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5 0
2 years ago
A triangle has angles in the ratio 3:10:2 what is the size of the largest angle x?
Annette [7]

Answer:

B

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let the angles be 3k,10k,2k

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x=10k=10×12=120°

5 0
3 years ago
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