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artcher [175]
2 years ago
10

3) Last year Kerry’s take home pay was £15 000 She spent 40% of her take home pay on rent. She used the rest of her take home pa

y for living expenses, clothes and entertainment in the ratio 3 : 1 : 2 How much did Kerry spend on entertainment last year?
Mathematics
1 answer:
gregori [183]2 years ago
4 0
3,000. You take 15,000 and multiply by .4 to get how much she spent on rent (6,000). They you subtract the rent money from her total pay to get her money that she spent on living expenses, clothes and entertainment in total (9,000). Since she spent her money in six parts (3+2+1), you divide 9,000 by 6 to get 1,500 to get each part. Since for entertainment she has two parts you multiply 1,500 by 2 to get 3,000.
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In general, after a group makes a reservation at a restaurant, they do not show up 20% of the time. If a restaurant has 8 reserv
sashaice [31]

Answer:

P(more than 2 don't show up)=0.2031

Step-by-step explanation:

Multiplication rule for independent events:

If two events A and B are independent then the multiplication rule state that:

P(A and B)= P(A) x P(B)

Find the probability that more than two do not show up:

The probability that the reservations at the restaurant do not show up is 0.20 (=20%) and there were 8 reservations.

P(more than 2 don't show up)= 1- P(less than or equal to 2 don't show up)

= 1-( P(none show up) +P(one don't show up)+P(two don't show up)

=1- ((0.8⁸) +₈ C₁ (0.2¹)x(0.8⁷)  +₈ C₂ (0.2²)x(0.8⁶)

=1- (0.1678 +0.3355+0.2936)= 1-0.7969

P(more than 2 don't show up)=0.2031

5 0
2 years ago
For every $10 Glen earns, his parents
irga5000 [103]

10-2 = 8

He can spend $8

$8/$10 = 0.80

0.80 x 100 = 80 %

He can spend 80%

8 0
1 year ago
Read 2 more answers
There are five boys and five girls in a class. The teacher randomly selects three different students to answer questions. The fi
Damm [24]
The probability that the first student is a girl is 5/10.

The probability of the second selection being a boy is 5/9.

(since the first selection was a girl, there are 9 students left) 

The probability that the third student is a girl is 4/8

(there are 4 girls left after one was selected, and 8 students left in total, after the second selection.

The probability is (5/10)(5/9)(4/8)=0.139


Answer: 0.139

3 0
2 years ago
PLEASE HELP! For a concert 5,000 tickets were sold, and the proceeds were $72,000. Tickets for children 16 and younger were $10,
patriot [66]
A: the first answer is the best option

if there is a total of 5000 tickets, and we know there were adults, children, and seniors, then the equation:
c + a + s = 5000 is correct

if we are using c, a, and s as variables for how many children, adults, and seniors were in attendance, then by matching the corresponding price, we should have the equation:
$72000= 10c + 20a + 15s

lastly, if we know the amnt of children in attendance was 3x more than the amnt of seniors, the equation:
3s = c is best because by multiplying the number of seniors in attendance by 3, you will get 3x more children than seniors

hope this helps, and is correct :)!
5 0
2 years ago
A cylinder has a base radius of 6m and a height of 16m. What is its volume in cubic m,
SpyIntel [72]

Answer:

To the nearest tenth place, V = 1,810.3 m^3

Step-by-step explanation:

In this question, we are tasked with calculating the volume of a cylinder given its base radius and height.

Mathematically, the Volume can be calculated using the formula

V = pi * r^2 * h

where pi = 22/7 , r = 6m and h = 16m

Plugging these values, we have

V = 22/7 * 6^2 * 16

V = 22/7 * 36 * 16

V = 1,810.286 m^3

To the nearest tenth place, V = 1,810.3 m^3

8 0
2 years ago
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