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2 years ago

Complete the following statement. Write your answer as a decimal or whole number.

Mathematics

1 answer:

natima [27]2 years ago

6 0

$18 is 30% or 0.3 of 60 dollars

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Ethan writes 2/3 of a page in 5/12 of a minute. How much time does it take him to write one page

Nataliya [291]

2/3 of a page in 5/12 of a minute

Multiply both fractions by 3/2

$\frac{2}{3} \times \frac{3}{2} = 1$

$\frac{5}{12} \times \frac{3}{2} = \frac{5}{4} \times \frac{1}{2}=\frac{5}{8}$

So, Ethan can read 1 page in 5/8 of a minute.

8 0

3 years ago

If (x, y) = (3, 4) is a solution of the simultaneous equations.

Vinvika [58]

The first thing you want to do is plug in x and y into both equations:

a(3) + b(4) = 4

b(3) + a(4) = 8

rearrange to line up a’s and b’s

3a + 4b = 4

4a + 3b = 8

now you want to choose a or b and multiply each equation by a number to make them have the same amount of a’s or b’s.

4(3a + 4b = 4) = 12a + 16b = 16

3(4a + 3b = 8) = 12a + 9b = 24

Now we subtract the bottom equation from the top and solve for b:

12a + 16b - (12a + 9b) = 16 - 24

7b = -8

b = -8/7

Now we plug back in for b to one of the original equations:

3a + 4(-8/7) = 4

3a + (-32/7) = 4

3a - (32/7) = 4

3a = 4 + (32/7)

3a = (28/7) + (32/7)

3a = 60/7

a = (60/7)/3 = 20/7.

Finally, plug a and b in together to double check using the second equation.

4a + 3b = 8

4(20/7) + 3(-8/7) = ?

(80/7) - (24/7) = ?

56/7 = 8.

4 0

3 years ago

Help me solve this paper mathematical

Murrr4er [49]

I wish i can help you

7 0

3 years ago

Use the graph below to fill in the blank with the correct number:

astraxan [27]

Answer: f(0) should fit on the graph under 2.5

Step-by-step explanation:

6 0

3 years ago

Suppose a random sample of n = 16 observations is selected from a population that is normally distributed with mean equal to 101

stepan [7]

Answer:

101, 3, 0.025, 0.7416

Step-by-step explanation:

Given that a random sample of n = 16 observations is selected from a population that is normally distributed with mean equal to 101 and standard deviation equal to 12.

As per central limit theorem we have

a) Mean of sample mean = $E(\bar x) =\\ \mu =101$

Std deviation of sample mean = $\frac{\sigma}{\sqrt{n} } =3$

Mean = 101

Std dev =3.00

b) $P(\bar x >107) = P(Z>\frac{107-101}{3} )\\= P(Z>2) = 0.025$

c) the probability that the sample mean deviates from the population mean μ = 101 by no more than 4.

= $P(|\bar x-101|) \leq 4\\= P(|z|\leq 1.13)\\= 2(0.3708)\\=0.7416$

6 0

3 years ago