Claire runs 10 km in 1 hour. How many kilometers does she run in half an hour? In 2 1/2hours?

5/19,5/8,5/11,5/6 from greatest to least

White raven [17]

Answer:

5/6, 5/8, 5/11, 5/19

Step-by-step explanation:

The larger the denominator, the smaller the sections

3 0

3 years ago

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Prove that the triangle EDF is isosceles. Give reasons for your answer.

Gekata [30.6K]

Answer:

$\triangle EDF$ is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are given the following things:

$\angle EDF = y$

$\text{External }\angle DFG = 90 +\dfrac{y}{2}$

Let us try to find out $\angle E$ and $\angle DFE$ . After that we will compare them.

Finding  $\angle DFE$ :

Side EG is a straight line so $\angle GFE = 180$

$\angle GFE$ is sum of internal $\angle DFE$ and external $\angle DFG$

$\angle GFE = 180 = \angle DFE + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)$

Finding  $\angle E$ :

Property of external angle: External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external $\angle DFG$ = $\angle E + \angle EDF$

$\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2} -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)$

Comparing equations (1) and (2):

It can be clearly seen that:

$\angle DFE = \angle E =90-\dfrac{y}{2}$

The two angles of $\triangle EDF$ are equal hence $\triangle EDF$ is isosceles.

8 0

3 years ago

It costs more to produce defective items - since they must be scrapped or reworked - than it does to produce non-defective items

Shtirlitz [24]

Answer:

1,082

Step-by-step explanation:

The sample size n in Simple Random Sampling is given by

$\bf n=\frac{z^2s^2}{e^2}$

where

z = 1.645 is the critical value for a 90% confidence level (*)

s = 2 is the estimated population standard deviation

e = 0.1 mm points is the margin of error

so

$\bf n=\frac{z^2s^2}{e^2}=\frac{(1.645)^2(2)^2}{(0.1)^2}=1,082.22\approx 1,083$

rounded up to the nearest integer.

So the manufacturer should test 1,083 parts.

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(*)This is a point z such that the area under the Normal curve N(0,1) outside the interval [-z, z] equals 10% = 0.1

It can be obtained in Excel with

NORMINV(1-0.05,0,1)

and in OpenOffice Calc with

NORMINV(1-0.05;0;1)

5 0

3 years ago

PLEASE HELP!!! ILL MARK BRAINLIEST

KiRa [710]

Answer:

Beatz on demand

Step-by-step explanation:

Even though it starts at 25 for the fee it has a lower monthly rate cost then itunes. While iTunes charges 8.99 per month Beatz on demand only charges 5.99 a month

8 0

3 years ago

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Solve. 489.209 + 43.9

lidiya [134]

Answer:

533.109

Step-by-step explanation:

Just add all the numbers

8 0

3 years ago