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BaLLatris [955]
2 years ago
5

WHAT IS THE DECIMAL FORM FOR 7 x 10 + 9 x (1/10) + 2 x (1/100) + 5 x (1/000)

Mathematics
1 answer:
max2010maxim [7]2 years ago
6 0

Answer:

70.925 I believe

Step-by-step explanation:

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Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?
BabaBlast [244]

Complete question :

The 100m dah times in the girl's track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds.

Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?

Answer:

21 runners

Step-by-step explanation:

Mean, μ = 13 seconds

Standard deviation, σ = 0.3

Lana's race time = 13.2

We find the proportion of runners who had race time above 13.2 ;

Proportion of who had race tune above 13.2

P(x > 13.2)

Obtain the Zscore

Zscore = (x - μ) / σ

Z = (13.2 - 13) / 0.3

Zscore = 0.2 / 0.3 = 0.6667

P(Z > 0.6667) = 0.25239 (Z probability calculator)

This is about 0.25239 * 100 = 25.24% = 25% (nearest percent)

Hence, Number of runners Lana beat = 25% of total runners ;

0.25 * 84 = 21

Hence, Lana beat about 21 runners

6 0
3 years ago
A flagpole casts a shadow that is 85 feet long. Paul is 6 feet tall, and while standing next to the flagpole, casts a shadow tha
hammer [34]

Answer:

51m

Step-by-step explanation:

-Paul is 6ft, and has a 10ft shadow. The pole has a 85ft shadow:

-Using ratios:

\frac{Height\ of \ object}{Height\ of \  shadow}

Let h be the height of the flagpole:

=>\frac{6}{10}=\frac{h}{85}\\\\h=\frac{6\times 85}{10}\\\\h=51

Hence, the height of the pole is 51m

6 0
3 years ago
the relationship between money earned and hours worked is linear. joe computes the slope between (4, 30) and (12, 90), then comp
julia-pushkina [17]
Slope = rise/run =[y2-y1]/[x2-x1]

1) slope = [90 - 30] / [12 - 4] = 60 / 8 = 15/2

2) slope = [75 - 30] / [10 - 4] = 45 / 6 = 15 / 2

The slopps are equal.
6 0
2 years ago
Read 2 more answers
Hello pls help I'm dumb thx it's pre calc
Bumek [7]
(f-g)(x)=f(x)-g(x)=
\frac{2x+6}{3x}-\frac{\sqrt{x}-8}{3x}=
\frac{2x+6-(\sqrt{x}-8)}{3x}=
\frac{2x+6-\sqrt{x}+8}{3x}=
\frac{2x-\sqrt{x}+14}{3x}
answer is A
3 0
3 years ago
Please Hurryyy
Helga [31]

The measure of angle J is 19.8°, and the correct option is D.

<h3>What is the formula of cosine?</h3>

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

The following formula is used to find the angle j is;

\rm j^2 = h^2 + i^2 -2hicosC

Triangle HIJ has side lengths h=12, i = 17, j = 7.

Substitute all the values in the formula;

\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8

Hence,  the measure of angle J is 19.8°, and the correct option is D.

Learn more about law cosine here;

brainly.com/question/17289163

#SPJ1

3 0
1 year ago
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