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3 years ago

The number A is about 8 times greater than B . Find the correct value of a and b.

Mathematics

2 answers:

egoroff_w [7]3 years ago

8 0

The awnser is a or c I hope I helped you with your question

Step2247 [10]3 years ago

7 0

Answer:

Step-by-step explanation:

the answer is a.

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A car owner buys diesel at rs 7.50, rs 8, rs 8.50 per litre for three successive years. what approximately is the average cost p

alex41 [277]

Answer:

Average cost per litre of diesel = rs 8.00

Step-by-step explanation:

Amount spent on diesel each year = rs 4000

Price of a litre of diesel in the first year = rs 7.50

Price of a litre of diesel in the second year = rs 8.00

Price of a litre of diesel in the third year = rs 8.50

Average cost per litre of diesel = $\frac{p_{1} + p_{2} + p_{3} }{n}$

where n is the number of years.

Average cost per litre of diesel = $\frac{7.5 + 8.00 + 8.50}{3}$

= $\frac{24}{3}$

= 8

Average cost per litre of diesel is rs 8.00

So that he buys an average of 500 (i.e $\frac{4000}{8}$ ) litres every year.

5 0

3 years ago

The price of grapes at the grocery store is $1.44 per pound. There are approximately 0.45 kilometers in a pound. To the nearest

Nadusha1986 [10]

0.45 * 2 is 0.9
$1.44 * 2 is $2.88
$1.44/9 is $0.16
$0.16 * 2 is $0.32
$2.88+$0.32 is $3.20

The answer is $3.20

5 0

3 years ago

In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time coll

ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use $\pi = 0.5$ , which is when we are going to need the largest sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 2.575*0.5$

$(\sqrt{n}) = \frac{2.575*0.5}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}$

$n = 1036.03$

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

$\pi = 0.55$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}$

$0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}$

$(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}$

$n = 1025.7$

Rounding up

n = 1026.

6 0

3 years ago

Linda has 60 marbles. of which 30% are blue. How many blue marbles does linda have?

Elena-2011 [213]

30 because half of 30 is 60and 60 is like 100 cuz it is the whole so half of 60 is 30

6 0

3 years ago

Read 2 more answers

37. Two numbers are such that their

omeli [17]

Answer:

8 and 6

Step-by-step explanation:

Two numbers are such that their difference, their sum, and their product are to

each other as 1:7:24. Their product must equal what number?

Two numbers a & b

Let x = the multiplier

a - b = 1x

a + b = 7x

a * b = 24x

Add the 1st two equations

a - b = x

a + b = 7x

2a = 8x

a = 4x

x = .25a

a * b = 24x

Replace 24x; a = 4x therefore:

a * b = 6a

b = 6

;

Using the 1st equation

a - b = 1x

Replace b with 6 and x with .25a

a - 6 = .25a

a - .25a = 6

.75a = 6

a =

a = 8

Find the multiplier

a - b = x

8 - 6 = 2

Check this

a - b = 2 (1*2)

a + b = 14; (7*2)

a * b = 48: (24*2)

The numbers are 8 and 6; their products = 48

4 0

3 years ago