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AveGali [126]
3 years ago
8

Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of a man 71.2 inches

tall. (to 2 decimal places)
Mathematics
1 answer:
Alexxandr [17]3 years ago
3 0

Answer:

0.7857

Step-by-step explanation:

Given :

Mean = 69 inches

Standard deviation, = 2.8 inches

The Zscore of a man who is 71.2 inches

The ZSCORE is obtained using the relation :

Zscore = (Score, x - mean) / standard deviation

Zscore = (71.2 - 69) / 2.8

Zscore = 2.2 / 2.8

Zscore = 0.7857

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A textbook store sold a combined total of 289 sociology and math textbooks in a week. The number of math textbooks sold was 65 l
erica [24]

Answer:

Contradictrion

Step-by-step explanation:

First write an equation. If the total is 289, then that goes one the right side of the =. Sociology textbooks will be x. If there were 65 less than x, it will be 65-x. Lets set it up:

x + 65 -x =289

Then combine like terms.

65 = 289

There are no values of x that make the equation true. The input is a contradiction.

<u></u>

<h2><u>NO ANSWER</u></h2>
8 0
3 years ago
A graphic charges a fee of 1600 to design a poster for a jazz festival the designer also receives 8% commission on sales of the
iris [78.8K]

Answer:

The total income of designer from this work is $1649.6.

Step-by-step explanation:

The fees charged by the designer = $1600

The commission on total sales = 8%

Total sales amount in the festival =  $620

Now, 8% of $620 = \frac{8}{100}  \times 620 = 49.6

So, the commission on total sales = $49.6

Also, Total Income of the designer = Deign Fee + 8% Commission fee

= $1600 + $49.6

= $1649.6

Hence, the total income of designer from this work is $1649.6.

5 0
4 years ago
Find the equation of the circle with center at
Vinvika [58]
Radius (R) is equal to the distance between the points (-2,1) and <span>(3,1)
R</span>² = (-2 - 3)² + (1 - 1)² = (-5)² + 0 = 25
R = 5 

<span>Equation of the circle:
</span>(х-(-2))² + (у-1)² = 5²
(х+2)² + (у-1)² = 25
4 0
4 years ago
If p =1/3 and Q=1/4.Evaluate 2p-3Q/12pQ​
mixer [17]

Answer:

I got -0.09...

although I could be wrong, don't take my word for it, it's been a while lol

7 0
2 years ago
find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive
wel

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

<h3>Sum of terms of an AP</h3>

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

  • n = number of terms,
  • a = first term and
  • d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

<h3>Number of terms for the Sum of terms to be positive</h3>

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

Learn more about sum of terms of an AP here:

brainly.com/question/24579279

#SPJ1

4 0
2 years ago
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