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zheka24 [161]
2 years ago
5

Solve for m: -3(1 – 5m) = — 38 + 8m

Mathematics
2 answers:
sashaice [31]2 years ago
6 0

Answer:

-5

Step-by-step explanation:

Solnce55 [7]2 years ago
3 0

Answer:

m = - 5

Step-by-step Explanation:

-3(1-5m)=-38+8m \\  \\  - 3 + 15m =  - 38 + 8m \\  \\ 15m - 8m = 3 - 38 \\  \\ 7m =  - 35 \\  \\ m =  \frac{ - 35}{7}  \\  \\  \huge \purple{ \boxed{m =  - 5}}

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The mean amount purchased by a typical customer at Churchill's Grocery Store is $26.00 with a standard deviation of $6.00. Assum
Vadim26 [7]

Answer:

a) 0.0951

b) 0.8098

c) Between $24.75 and $27.25.

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 distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 26, \sigma = 6, n = 62, s = \frac{6}{\sqrt{62}} = 0.762

(a)

What is the likelihood the sample mean is at least $27.00?

This is 1 subtracted by the pvalue of Z when X = 27. So

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

By the Central Limit Theorem

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

Z = \frac{27 - 26}{0.762}

Z = 1.31

Z = 1.31 has a pvalue of 0.9049

1 - 0.9049 = 0.0951

(b)

What is the likelihood the sample mean is greater than $25.00 but less than $27.00?

This is the pvalue of Z when X = 27 subtracted by the pvalue of Z when X = 25. So

X = 27

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

Z = \frac{27 - 26}{0.762}

Z = 1.31

Z = 1.31 has a pvalue of 0.9049

X = 25

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

Z = \frac{25 - 26}{0.762}

Z = -1.31

Z = -1.31 has a pvalue of 0.0951

0.9049 - 0.0951 = 0.8098

c)Within what limits will 90 percent of the sample means occur?

50 - 90/2 = 5

50 + 90/2 = 95

Between the 5th and the 95th percentile.

5th percentile

X when Z has a pvalue of 0.05. So X when Z = -1.645

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

-1.645 = \frac{X - 26}{0.762}

X - 26 = -1.645*0.762

X = 24.75

95th percentile

X when Z has a pvalue of 0.95. So X when Z = 1.645

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

1.645 = \frac{X - 26}{0.762}

X - 26 = 1.645*0.762

X = 27.25

Between $24.75 and $27.25.

3 0
3 years ago
Help! I need somebody
oee [108]

Answer:

t to the sixth power equals 9

t=1.5

Step-by-step explanation:

6 0
3 years ago
Betty has some hair ribbons that are blue. She has 19 blue ribbons. Three times the number of blue ribbons decreased by 5 is gre
likoan [24]

Answer:

3x-5> 6x- 14

Step-by-step explanation:

Let the blue ribbons be denoted by the letter x.

Then according to the given condition

3 times the blue ribbons = 3x

Decreased by 5 = 3x-5

is greater than

6 times the blue ribbons = 6x

decreased by 14 = 6x-14

Putting in one line

3x-5> 6x- 14

Solving the inequality

3x-5> 6x- 14

Taking both sides positive as in modulus

14-5 > 6x-3x

9> 3x

9/3 > x

3> x

Again solving for inequality

3x-5> 6x- 14

Taking one side negative that is mod

3x-5> -6x + 14

3x+ 6x > 14+5

9x> 19

x > 19/9

x > 2.11

so x lies between 2 and 3

3 > x > 2.11

Now putting the values for x= 19

3x-5> 6x- 14

57-5> 114-14

52 > 100 False

Now putting the values for x= 3

3x-5> 6x- 14

9-5> 18-14

4>4  False

Now putting the values for x= 2

3x-5> 6x- 14

6-5> 12-14

1> -2   True

There are 2 blue ribbons

5 0
3 years ago
Read 2 more answers
Find the quotient.
d1i1m1o1n [39]
See attached files for detailed solutions
Download docx
4 0
3 years ago
3/5 of 40$ restaurant Bill
Ad libitum [116K]
Hey there Willialili!

Fraction Question::

We first have to divide the number ($40) from the denominator of our fraction (5) - This would be 8! {40 / 5}

We then multiply this with our numerator which is 3! {8 x 3}

This gives us 24!

**Answer: 40$

Hope this helped :)
3 0
3 years ago
Read 2 more answers
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