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Anestetic [448]
3 years ago
10

Mr castle shares out 64 marbles between emily and asif in the ratio 7:1 how many marbles does each child get

Mathematics
1 answer:
Novay_Z [31]3 years ago
7 0

Answer:

<h2>Emily: 72 marbles</h2><h2>Asif: 8 marbles</h2>

<em>Step-by-step explanation:</em>

first lets find in how many shares is the total amount of marbles divided into:

7+1=8

now, lets find how many marbles are in each share:

64/8=8

now that we know that each share of marbles contains 8 marbles, we can find how many each child got:

Emily got 7 shares: 8*7= 72 marbles

Asif got 1 share: 8*1= 8 marbles

Hence,

<h3><em>Emily got 72 marbles, while Asif got 8 marbles</em></h3>
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An opinion poll surveyed 900 people and reported that 36% believe a certain governor broke campaign financing laws in his electi
Anuta_ua [19.1K]

Answer:

The confidence Interval = (0.329, 0.391)

Step-by-step explanation:

Formula for the Confidence Interval for proportion =

p ± z × √p(1 - p)/n

where

p = x/n

From the question

n = 900 people

x = 36% of 900 people

= 36/100 × 900

= 324

z = z score of 95% confidence Interval

z = 1.98

p = x/n

= 324/900

= 0.36

Confidence Interval = p ± z × √p(1 - p)/n

= 0.36 ± 1.96 × √0.36 (1 - 0.36)/900

= 0.36 ± 1.96 ×√0.36 (0.64)/900

= 0.36 ± 1.96 × √0.000256

= 0.36 ± 1.96 × 0.016

= 0.36 ± 0.03136

Confidence Interval = 0.36 ± 0.03136

= 0.36 - 0.03136

= 0.32864

Approximately to 3 decimal places = 0.329

= 0.36 + 0.03136

= 0.39136

Approximately to 3 decimal places = 0.391

Therefore, the 95% confidence interval for the population proportion of people who believe the governor broke campaign financing laws = (0.329, 0.391)

7 0
3 years ago
A company that manufactures hair ribbons knows that the number of ribbons it can sell each week, x, is related to the price p pe
mel-nik [20]

Given:

The number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation:

x=1000-100p

To find:

The selling price if the company wants the weekly revenue to be $1,600.

Solution:

We know that the revenue is the product of quantity and price.

R=xp

R=(1000-100p)p

R=1000p-100p^2

We need to find the value of p when the value of R is $1600.

1600=1000p-100p^2

1600-1000p+100p^2=0

100(16-10p+p^2)=0

Divide both sides by 100.

p^2-10p+16=0

Splitting the middle term, we get

p^2-8p-2p+16=0

p(p-8)-2(p-8)=0

(p-8)(p-2)=0

Using zero product property, we get

p-8=0 or p-2=0

p=8 or p=2

Therefore, the smaller value of p is $2 and the larger value of p is $8.

5 0
3 years ago
Rewrite these expressions using words. 2 1/4 +8/3
ElenaW [278]

Answer:

two and one fourths plus eight thirds

Step-by-step explanation:

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Answer:

64cm

Step-by-step explanation:

A squared + B squared = C squared this is the formula, c is the hypotenuse, so A+B=128

64+64+128

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3 years ago
Five adult tickets and three child tickets for a movie cost £58.
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Answer:

Step-by-step explanation:

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