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2 years ago

The quotient of 15 and n is 5

Mathematics

1 answer:

Anna35 [415]2 years ago

7 0

My English is not that great but if I got it right the answer is 3

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Molly uses 9.5 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is

Vilka [71]

Answer:

2.375 pints

Step-by-step explanation:

Since 3/4 of the paint is blue, the remaining 1/4 of the paint is white. 1/4 of the total amount is ...

(1/4)(9.5 pints) = 2.375 pints . . . . of white paint

5 0

4 years ago

Can you please help me out?

larisa86 [58]

Answer:

- 3.5229

Step-by-step explanation:

Using the rules of logarithms

logx + logy = log(xy)

$log_{10}$ $10^{n}$ = n

Given

$log_{10}$ 3 ≈ 0.4771, then

$log_{10}$ 0.0003

= $log_{10}$ (3 × $10^{-4}$ )

= $log_{10}$ 3 + $log_{10}$ $10^{-4}$

≈ 0.4771 - 4

≈ - 3.5229 ( to 4 dec. places )

8 0

3 years ago

Suppose a three-seat city council election. For each seat, one progressive and one conservative is running, and voters must choo

Kitty [74]

Answer:

The probability that conservative party wins all 3 seats is 0.216

The probability that conservative party wins exactly two seats is 0.432

Step-by-step explanation:

Consider the provided information.

The probability of a conservative candidate winning is p=0.6.

The probability of one progressive candidate will win is: 1-0.6=0.4

Part (a) What is the probability that the conservative party wins all three seats?

According to binomial distribution: $b(x; n, p) =^nC_xp^x(1- p)^{n-x}$

$P(x=3) =^3C_3(0.6)^3 (0.4)^{3-3}$

$P(x=3) =(0.6)^3$

$P(x=3)=0.216$

P(conservative party wins all 3 seats) = 0.216

Hence, the probability that conservative party wins all 3 seats is 0.216

Part (a) What is the probability that the conservative party wins exactly two seats?

$P(x=2) =^3C_2(0.6)^2 (0.4)^{3-2}$

$P(x=2) =3(0.36)(0.4)$

$P(x=2) =0.432$

Hence, the probability that conservative party wins exactly two seats is 0.432

5 0

3 years ago

Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?

Murrr4er [49]

The answer to this is: Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at -24.
This is because when you want to represent division in a number line you must always start from the zero count divisor until you reach the dividend.

8 0

2 years ago

Read 2 more answers

Sam and Mary collect marbles. “If you give me 5 marbles I’ll have twice as many as you.” said Sam to Mary.

ivann1987 [24]

Answer:

54 marbles

Step-by-step explanation:

The question is a word problem leading to a simultaneous equation

Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,

If Mary gives Sam 5 marbles, we have;

x + 5 = 2 × (y - 5)...(1)

If Sam gives Mary 4 marbles, we get;

x - 4 = y + 4...(2)

From equation (1), we get;

x + 5 = 2 × (y - 5) = 2·y - 10

x = 2·y - 10 - 5 = 2·y - 15

x = 2·y - 15...(3)

From equation (2), we have;

x - 4 = y + 4

∴ x = y + 4 + 4 = y + 8

x = y + 8...(4)

Equating the two values of 'x' in equation (3), and equation (4), we get;

2·y - 15 = y + 8

2·y - y = 8 + 15 = 23

∴ y = 23

From equation (4), we get;

x = y + 8 = 23 + 8 = 31

x = 31

The total number of marbles they have altogether = x + y

However, x + y = 23 + 31 = 54

Therefore;

The total number of marbles they have altogether = 54 marbles.

7 0

3 years ago