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2 years ago

Six years ago annabelle was twice as old as jason was. now, annabelle is four years older than jason. how old is jason now?

1 answer:

4 0

Now: a=j+4
6 years ago: Anabelle: a-6; Jason: j-6

$a-6=2(j-6) \\ a=2j-12+6 \\ a=2j-6 \\ \\ j+4=2j-6 \\ 4+6=2j-j \\ j=10 \\ \\ a=2(10)-6 \\ a=14$

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Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca

timurjin [86]

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the Mean for sample of taste of pizza in California:

μ₁ = $\frac{34+39+40+46+33+31+34+14+15+45}{10}$ = 33.1

Calculating the Mean for the sample in Iowa:

μ₂ = $\frac{28+25+35+16+25+29+24+26+17+20}{10}$ = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The Variance for the sample in California is

σ² = $\frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}$ σ² = 120.50

The Variance for the sample in Iowa is

σ² = 32.73

Range is the difference between the highest and the lowest number of the set: range = highest - lowest

For the sample in California, the Range is

range = 46 - 14 = 32

For the sample in Iowa:

range = 35 - 16 = 19

For California:

Mean = 33.1;
Variance = 120.50;
Range = 32;

For Iowa:

Mean = 24.5;
Variance = 32.73;
Range = 19;

6 0

3 years ago

Find the value of X, I need help solving this.

laiz [17]

Answer:

The answer is 21

Step-by-step explanation:

21x4+2=86

8 0

2 years ago

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4.06 Question 6

polet [3.4K]

Answer:

If we are to make x small rugs, each of which takes 2 hours to dye, then the total time taken to dye the small rugs is 2x. Similarly for the y large rugs which each take 3 hours to dye, the total time for dyeing the large rugs is 3y. Therefore the total for all sizes of rugs is 2x + 3y. Finally, we have a maximum of 60 available hours for the dyeing, so the total time cannot exceed 60, and the final inequality is

2x + 3y < 60

Step-by-step explanation:

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write an expression for add 2 and 4 and multiply the sum by 3 next add 5 to that product in double the results

Rzqust [24]

So let's start from the beginning.

Add 2 and 4:

(2 + 4)

Multiply the sum by 3:

3(2 + 4)

Then add 5 to that product:

3(2 + 4) + 5

Then double the results:

2[3(2 + 4) + 5]

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2 years ago

If you place the north pole of a magnet near the north pole of another magnet, what do you except to happen

slavikrds [6]

They will repel each other

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