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Strike441 [17]
3 years ago
14

8 biscuits cost 24p altogether.How much do 5 biscuits cost?

Mathematics
2 answers:
WARRIOR [948]3 years ago
5 0
24 divided by 8 = 3 so 3 divided by 5 = 0.6
Mandarinka [93]3 years ago
3 0
5 biscuits- 15 pounds.
Because if you divide 24 by 8 it equals out to 3, so 1 biscuit=3pounds so to find the answer I multiplied 5 by3 and got 15.
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2.A production process manufactures items with weights that are normally distributed with mean 10 pounds and standard deviation
Vesna [10]

Answer:

Step-by-step explanation:

Given that:

population mean = 10

standard deviation = 0.1

sample mean = 9.8 < x > 10.2

The z score can be computed as:

z = \dfrac{\bar x - \mu}{\sigma}

if x > 10.2

z = \dfrac{10.2- 10}{0.1}

z = \dfrac{0.2}{0.1}

z = 2

If x < 9.8

z = \dfrac{9.8- 10}{0.1}

z = \dfrac{-0.2}{0.1}

z = -2

The p-value = P (z ≤ 2) + P (z ≥ 2)

The p-value = P (z ≤ 2) + ( 1 -  P (z ≥ 2)

p-value = 0.022750 +(1 -   0.97725)

p-value = 0.022750 +  0.022750

p-value = 0.0455

Therefore; the probability of defectives  = 4.55%

the probability of acceptable = 1 - the probability of defectives

the probability of acceptable = 1 - 0.0455

the probability of acceptable = 0.9545

the probability of acceptable = 95.45%

4.55% are defective or 95.45% is acceptable.

sampling distribution of proportions:

sample size n=1000

p = 0.0455

The z - score for this distribution at most 5% of the items is;

z = \dfrac{0.05 - 0.0455}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{0.0045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = \dfrac{0.0045}{\sqrt{4.342975 \times 10^{-5}}}

z = 0.6828

The p-value = P(z ≤ 0.6828)

From the z tables

p-value = 0.7526

Thus, the probability that at most 5% of the items in a given batch will be defective = 0.7526

The z - score for this distribution for at least 85% of the items is;

z = \dfrac{0.85 - 0.9545}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{-0.1045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = −15.86

p-value = P(z ≥  -15.86)

p-value = 1 - P(z <  -15.86)

p-value = 1 - 0

p-value = 1

Thus, the probability that at least 85% of these items in a given batch will be acceptable = 1

6 0
3 years ago
Can someone help me with this please
pochemuha

Answer: No

Step-by-step explanation:

What we have to do is to substitute the values of x and y that we are given into the inequality:

x = 8

y = 7

y > 4x - 6

7 > 4(8) - 6

7 > 32 - 6

7 > 26

This is not true so it isn't a solution

3 0
3 years ago
Read 2 more answers
Solve the equation: 4x - 9x + 11 = -24. When you guys solve this, be sure to show your work.
jolli1 [7]

Answer:

4x - 9x + 11 = -24

-5x + 11 = - 24

-5x = -24 - 11

-5x = -35

-5x/-5 = -35/-5

x = 7

4 0
3 years ago
Read 2 more answers
Will someone please help me solve this !!
Cerrena [4.2K]

360=95+120+120+125+x+84+x

360=544+2x

-184=2x

x= -92

7 0
3 years ago
Marion is 3 years more than 5 times as old as Paula. if p represents Paula's age, which expression represents Marion's age?
Alborosie
5p + 3

because its 5 times Paula's age with the additional 3 years tacked on to it
8 0
3 years ago
Read 2 more answers
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