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dedylja [7]
2 years ago
15

Mixing two kinds of candy the price of which was $2 and $4 per pound, Ella got a 10-lb mix of candy, which cost $2.90 per pound.

How many pounds of each kind of candy were used for the mix?
Mathematics
1 answer:
topjm [15]2 years ago
8 0
1. You have the following information given in the problem above:

 - Ella mixed<span> two kinds of candy the price of which was $2 and $4 per pound.
 - Ella got a 10-lb mix of candy, which cost $2.90 per pound. 
</span>
 2. Therefore, let's call:

 x: pounds of the first kind of candy.
 y: pounds of the second kind of candy.

 3. Then, you have:

 2x+4(10-x)=(2.90)(10)

 4. When you clear x, you obtain:

 2x+40-4x=29
 -2x=29-40
 x=-11/-2
 x=5.5 pounds

 x+y=10
 y=10-x
 y=10-5.5
 y=4.5 pounds
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Answer:

Thirty-two percent of fish in a large lake are bass. Imagine scooping out a simple random sample of 15 fish from the lake and observing the sample proportion of bass. What is the standard deviation of the sampling distribution? Determine whether the 10% condition is met.

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B. The standard deviation is 0.8795. The 10% condition is not met because there are less than 150 bass in the lake.

C. The standard deviation is 0.1204. The 10% condition is met because it is very likely there are more than 150 bass in the lake.

D. The standard deviation is 0.1204. The 10% condition is not met because there are less than 150 bass in the lake.

E. We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 150 bass in the lake

The answer is E.

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2 years ago
Which is a y-intercept of the continuous function in the table? (0, –6) (–2, 0) (–6, 0) (0, –2)
photoshop1234 [79]

Y- intercept is a point where any graph crosses the y- axis.

X- intercept is a point where any graph crosses the x- axis.

This means the coordinate of the point of intersection will always have the x point as 0. So any point of the form ( 0, y) is the y- intercept. Any point of the form (x,0) is the x- intercept.

Given point are :

(0,-6) : y intercept

(-2,0) : x intercept

(-6,0): x- intercept

(0,-2): y- intercept

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1 year ago
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Every day a student randomly chooses a sandwich for lunch from a pile of wrapped sandwiches. If there are six kinds of sandwiche
balu736 [363]

Answer:

279,936 ways

Step-by-step explanation:

Every day the student has to chose a sandwich from the pile of 6 sandwiches.  So this means the student has to make a choice from the 6 sandwiches for the 7 days. Since the order matters, this is a problem of permutations.

Daily the student has the option to chose from 6 sandwiches. So this means, for 7 days, he has to make a choice out of 6 options. Or in other words we can say, the student has to make selection from 6 objects 7 times.

So, the total number of ways to chose the sandwiches will be 6 x 6 x 6 x 6 x 6 x 6 x 6 = 6^{7}

Alternate Method:

Since the repetition can occur in this case, i.e. a sandwich chosen on one day can also be chosen on other day, the following formula of permutations ca be used:

Number of ways =  n^{r}

where n is the total number of choices available which is 6 in this case and r is the number of times the selection is to be made which 7 in this case. So,

The number of ways to chose a sandwich will be = 6^{7} = 279936 ways

5 0
1 year ago
A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certai
bonufazy [111]

Answer:

C. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.

Step-by-step explanation:

From the given information;

A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate.

A random sample is usually an outcome of any experiment that cannot be predicted before the result.

SO;

One plan is to select 400 voters, another plan is to select 1,600 voters

If the study were conducted repeatedly (selecting different samples of people each time);

Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.  This is because a sample proportion deals with random experiments that cannot be predicted in advance and they  are  quite known to be centered about the population proportion.

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2 years ago
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maw [93]

Answer:

The age of Sue could be 7 years

Step-by-step explanation:

Jenny is 8 years older than twice her cousin Sue's age.

The first equation will be :

J = 8 + 2S ---------(1)

The sum of their ages is less than 32.

The second equation will be :

J + S < 32  ----------------(2)

Now rearrange both equations :

8 + 2S + S < 32

3S < 32 - 8

3S < 24

S < 24/3

S < 8

S = 7

The age of Sue could be 7 years.

3 0
1 year ago
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