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12345 [234]
3 years ago
6

Fred runs 200 metres in 21.2 seconds.

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
5 0

Answer:

9.43 m/s

Step-by-step explanation:

Fred runs 200 metres in 21.2 seconds

FIND: Work out Fred’s average speed

aver speed =<u> 200 m </u>

                       21.2 s

                   = 9.43 m/s

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After an importer paid 30% of the cost of an item in taxes and $65.00 for freight charges, the total bill was $520.00. The cost
Marianna [84]

Step-by-step explanation:

let the cost of the item be y

for taxes

30%of y

30/100×y=3y/10

=0.3y

freight charges =65

total =520

0.3y+65=520

0.3y=520-65

0.3y=455

y=455/0.3

y=$1516.7

y≈$1517

7 0
3 years ago
For a t distribution with degrees of freedom, find the area, or probability, in each region. a. To the right of (to 3 decimals)
ddd [48]

Answer:

a) P(t>2.120) = 0.025

b) P(t<1.337) = 0.90

c) P(t<-1.746) = 0.05

d) P(t>2.583) = 0.01

e) P(-2.120<t<2.120) = 0.95

f) P(-1.746<t<1.746) = 0.90

Step-by-step explanation:

The question is incomplete:

For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.

a. To the right of 2.120. (Use 3 decimals.)

b. To the left of 1.337. (Use 2 decimals.)

c. To the left of -1.746. (Use 2 decimals.)

d. To the right of 2.583. (Use 2 decimals.)

e. Between -2.120 and 2.120. (Use 2 decimals.)

f. Between -1.746 and 1.746. (Use 2 decimals.)

We have a t-distribution with 16 degrees of freedom.

We can calculate the probabilities with a spreadsheet, a table or an applet.

We have to calculate the probabilities of:

a) P(t>2.120) = 0.025

b) P(t<1.337) = 0.90

c) P(t<-1.746) = 0.05

d) P(t>2.583) = 0.01

e) P(-2.120<t<2.120) = 0.95

f) P(-1.746<t<1.746) = 0.90

8 0
3 years ago
Multiply. Write your answer as a fraction in simplest form.<br> 2x7/16
Orlov [11]

Answer:

7/8

Step-by-step explanation:

7/16×2=7/16×2/1

          =14/16

          =7/8

3 0
3 years ago
One question simple please help
igor_vitrenko [27]

Answer:

y = \frac{1}{3}x - 9

Step-by-step explanation:

Standard equation of a line is y = mx + b, where m is the slope.

Given line y = - 3x + 78, slope, m₁ = -3

<em><u>To find the line perpendicular to the given line.</u></em>

The lines are perpendicular to each other if the product of their slopes = - 1

That is,

         m_1 \times m_2 = -1

So the slope of new line is

                                                   -3 \times m_2 = -1\\\\m_2 = \frac{-1}{-3} = \frac{1}{3}

Therefore , equation \ of \ new \ line \ \\\\(y - y_1) = m_2(x - x_1) , where \ (x_1 , y_1) = (9, -6 )\\\\(y - (-6))= \frac{1}{3}(x -9)\\\\y + 6 = \frac{1}{3} x - 3\\\\y = \frac{1}{3}x -3-6\\\\y = \frac{1}{3}x -9\\\\

7 0
3 years ago
To estimate the annual salary for a given hourly pay rate, multiply by 2 and insert “000” at the end.
qaws [65]

Answer:20000

Step-by-step explanation:

7 0
3 years ago
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