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3 years ago

I’ll give brainiest if right :) ASAP !!!!!! Please

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

4 0

I’m pretty sure it’s the one with -2 because it’s doubling each time and is every other with negative signs!

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Write the relation below as a set of ordered pairs and state if it is a function. If it is not a function, explain why.

AleksAgata [21]

This is a linear function. Let diameter (inches) be x, circumference (inches) be y, observe that the value of y/x is always 3.14. For example, 15.7/5=31.4/10=...=3.14. Therefore, this is not only a function (one to one correspondence from x to y), it's also a linear function that can be represented as y=3.14x.

7 0

3 years ago

The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with mean of 1262 and a s

Andrew [12]

Answer:

a) 1186

b) Between 1031 and 1493.

c) 160

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with mean of 1262 and a standard deviation of 118.

This means that $\mu = 1262, \sigma = 118$

a) Determine the 26th percentile for the number of chocolate chips in a bag. 

This is X when Z has a p-value of 0.26, so X when Z = -0.643.

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

$-0.643 = \frac{X - 1262}{118}$

$X - 1262 = -0.643*118$

$X = 1186$

(b) Determine the number of chocolate chips in a bag that make up the middle 95% of bags.

Between the 50 - (95/2) = 2.5th percentile and the 50 + (95/2) = 97.5th percentile.

2.5th percentile:

X when Z has a p-value of 0.025, so X when Z = -1.96.

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

$-1.96 = \frac{X - 1262}{118}$

$X - 1262 = -1.96*118$

$X = 1031$

97.5th percentile:

X when Z has a p-value of 0.975, so X when Z = 1.96.

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

$1.96 = \frac{X - 1262}{118}$

$X - 1262 = 1.96*118$

$X = 1493$

Between 1031 and 1493.

(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?

Difference between the 75th percentile and the 25th percentile.

25th percentile:

X when Z has a p-value of 0.25, so X when Z = -0.675.

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

$-0.675 = \frac{X - 1262}{118}$

$X - 1262 = -0.675*118$

$X = 1182$

75th percentile:

X when Z has a p-value of 0.75, so X when Z = 0.675.

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

$0.675 = \frac{X - 1262}{118}$

$X - 1262 = 0.675*118$

$X = 1342$

IQR:

1342 - 1182 = 160

7 0

3 years ago

Write in radical form

Studentka2010 [4]

Step-by-step explanation:

I'll do one for you.

Using the formula for turning exponents into radicals

$(b) {}^{ \frac{x}{y} } = \sqrt[y]{b} {}^{x}$

where b is the base

This means that the numerator in the exponet form becomes the power under the radical in radical form and

the denominator in exponet form becomes the nth root in radical form.

For example 5,

$(5) {}^{ \frac{ - 3}{5} }$

That becomes in radical form

$\sqrt[5]{5 {}^{ - 3} }$

or if you want to write it using positive exponents

$\frac{1}{ \sqrt[5]{5 {}^{3} } }$

I'll do one more for you

For example 6,

$11 {}^{ \frac{4}{3} }$

That becomes in radical form

$\sqrt[3]{11 {}^{4} }$

4 0

3 years ago

P divided by 8.2 = 9.3<br> who is smart

Svet_ta [14]

P=1886/25 or 75 11/25

Hope this helps :)

8 0

2 years ago

Read 2 more answers

What is the HCF of 48 & 72

Masja [62]

Step-by-step explanation:

Factors of 72

= 2 x 36

= 2 x 2 x 18

= 2 x 2 x 2 x 9

= 2 x 2 x 2 x 3 x 3

Factors of 48

= 2 x 24

= 2 x 2 x 12

= 2 x 2 x 2 x 6

= 2 x 2 x 2 x 2 x 3

Common Factors = 2 x 2 x 2 x 3

HCF = 24

Ans : 24

I hope It's helpful!!

4 0

2 years ago

Read 2 more answers