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Brilliant_brown [7]
4 years ago
13

ASAP 40 PTS + BRAINLIEST

Mathematics
2 answers:
Nina [5.8K]4 years ago
7 0

Answer:

5) a) S :   3    4      5    6      7       8

        P :   5    30   55   80   105    130

b) If Sandy win no sets, he will lose $70.

c) Sandy has to win atleast 3 sets to winning money rather than losing money.


6) a) When the base length increases by 1, the perimeter increase by 2 units this is because when the base increase, the figure expands by perimeter by 2 units.

b) Find the perimeter when the base length is

i) Plug in L = 4 in the given rule.

P = 2(4) + 3

P = 8 + 3

P = 11

ii) Plug in L = 5 in the given rule.

P = 2(5) + 3

P = 10 + 3

P = 13

iii) Plug in L = 10.

P = 2(10) + 3

P = 23

iv) Plug in L = 100

P = 2(100) + 3

P = 203

v) Plug in L = 68

P = 2(68) + 3

P = 136+ 3

P = 139

c) The base length can be zero. If there is no base the figure start from a point.

In this case, perimeter of figure is 3.


Step-by-step explanation:

5) a) Here the rule is P = 25s - 70

S :   3    4      5    6      7       8

P :   5    30   55   80   105    130

b) What happens to P if no sets are won?

In this case, s =0. Now plug s = 0 in the given rule

P = 25(0) - 70

P = -70

If Sandy win no sets, he will lose $70.

c) How many sets must Sandy win to be sure of winning money rather than losing money overall?

Sandy has to win atleast 3 sets to winning money rather than losing money.

Plug in s = 3 in the given rule.

P = 25(3) - 70

P = 75 - 70

P = $5

6) Explain why the rule works.

When the base length increases by 1, the perimeter increase by 2 units this is because when the base increase, the figure expands by perimeter by 2 units.

b) Find the perimeter when the base length is

i) Plug in L = 4 in the given rule.

P = 2(4) + 3

P = 8 + 3

P = 11

ii) Plug in L = 5 in the given rule.

P = 2(5) + 3

P = 10 + 3

P = 13

iii) Plug in L = 10.

P = 2(10) + 3

P = 23

iv) Plug in L = 100

P = 2(100) + 3

P = 203

v) Plug in L = 68

P = 2(68) + 3

P = 136+ 3

P = 139

c) Can the base length ever be zero? Explain your answer.

The base length can be zero. If there is no base the figure start from a point.

In this case, perimeter of figure is 3.

Let's plug in L =0 in the given rule.

P = 2(0) + 3

P = 3

Hope this will help you.

Thank you.

MatroZZZ [7]4 years ago
6 0

Answer:

Step-by-step explanation:

3    4      5    6      7       8

        P :   5    30   55   80   105    130

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HELP!! Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are add
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Read 2 more answers
A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa
Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributied random variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 220, \sigma = 13, n = 35, s = \frac{13}{\sqrt{35}} = 2.1974

Find the interval containing the middle-most 48% of sample means:

50 - 48/2 = 26th percentile to 50 + 48/2 = 74th percentile. So

74th percentile

value of X when Z has a pvalue of 0.74. So X when Z = 0.643.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

0.643 = \frac{X - 220}{2.1974}

X - 220 = 0.643*2.1974

X = 221.41

26th percentile

Value of X when Z has a pvalue of 0.26. So X when Z = -0.643

Z = \frac{X - \mu}{s}

-0.643 = \frac{X - 220}{2.1974}

X - 220 = -0.643*2.1974

X = 218.59

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

5 0
4 years ago
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