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USPshnik [31]
3 years ago
5

20 POINTS

Mathematics
2 answers:
svp [43]3 years ago
8 0

Answer:

450 jumping jacks

Step-by-step explanation:

f(10) = 45 (10)

45 * 10 is just 450 :)

I am Lyosha [343]3 years ago
7 0

Answer:

450.

Step-by-step explanation:

f(10) = 45 * 10 = 450 jumping jacks.

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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 o
Cerrena [4.2K]

Answer:

a) No 95% of values will fall between (24;64); 68,27% will fall between (34;54)

b)71,83 % will fall between 34 and 64 ounces

Step-by-step explanation:

Empirical rule establishes, for a  normal distribution with mean μ and σ as standard deviation:

In interval   μ  ±  σ    or   ( μ  +  σ ;  μ  -  σ) we should find 68.27 % of all values of the population, and by simmetry 68.27/2 = 34,14 % should be over the mean and the other half would  be values below the mean

Therefore in our case

μ  +  σ  =  44 + 10  =  54

And

μ  -  σ  = 44 - 10   = 34

a) Then  68,34 % of values will fall in this interval

We know now that value 34 is 1* σ   below the mean, and is at the limit of 34,14 %

b) μ  +  2*σ  =   44 * 2*10  =  44 + 20  =  64

64 is the upper limit for the interval   μ  +  2*σ  and we know that 95.45 % of all values will fall between (  μ  -  2*σ  ;  μ  +  2*σ ) and by simmetry just one side of this interval (the right side ) will have 95.45/2 = 47;73 %

Then in interval going from ( 34 ; 64 ) we shoud find 47.73 + 34,14

71,83 % of all values will fall between 34 and 64

7 0
3 years ago
Charlotte is making 20 flower bouquets 4/5 of the bouquet are daisies and the rest are tulips how many bouquets are tulips
Annette [7]

Answer:

4 bouquets

Step-by-step explanation:

5/5 = 20 flower bouquets.

Find out how much flower bouquets there are when it's 1/5.

5/5 = 20

1/5 = 20 ÷ 5 = 4

Since tulips are 1/5 as 5/5 - 4/5 = 1/5, 4 bouquets are tulips.

6 0
2 years ago
A lumber company is making boards that are 2920.0 millimeters tall. If the boards are too long they must be trimmed, and if the
Effectus [21]

Answer:

The value of the test statistic is of 0.22.

Step-by-step explanation:

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the expected mean, \sigma is the standard deviation(square root of the variance) and n is the size of the sample.

A lumber company is making boards that are 2920.0 millimeters tall.

This means that \mu = 2920.

A sample of 12 is made, and it is found that they have a mean of 2922.7 millimeters with a variance of 121.00.

This means that X = 2922.7, n = 12, \sigma = \sqrt{121} = 11. So

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{2922.7 - 2922}{\frac{11}{\sqrt{12}}}

t = 0.22

The value of the test statistic is of 0.22.

4 0
2 years ago
The angle of depression from the basketball hoop to Clairs eyes is 9.2degrees. The vertical distance from the ground to Claires
Norma-Jean [14]
X - difference between the height of the basketball hoop and the vertical distance from the ground to Clair´s eyes.
Using T O A:
tan (9.2°) = x / 22 ft
x = tan (9.2°) · 22 ft
x = 0.162 · 22 ft 
x = 3.564 ft
The height of the basketball hoop is:
h = 5.6 + 3.564 = 9.164 feet
8 0
3 years ago
Read 2 more answers
Find the sum of all 11 terms of an AP whose middlemost terms is 30?
Bond [772]

Let the difference between consecutive terms be D. If the middle term is 30, then the term before it is 30-D, and the term after it is 30+D. So the sum of these three terms would be (30-D) + 30 + (30+D) = 3*30.

Extending this sum to include all 11 terms centered around 30, we see that any addition of D is canceled by a balanced subtraction, leaving you with 11 copies of 30. So the value of the sum is 11*30 = 330.

6 0
2 years ago
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