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4 years ago

9th out of 10 questions

Mathematics

2 answers:

Zanzabum4 years ago

5 0

THE blue one because it is 8/10.

hope it helps :)

77julia77 [94]4 years ago

4 0

The last model,

It represents 8/10 or 4/5 which is greater than 3/5

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Mark runs 5 miles in 40 minutes. If he continues at the same rate, can he run 14 miles in 120 minutes?

Charra [1.4K]

40/5 = 8 minutes per mile

120 minutes / 8 minutes per mile = 15 miles total

he will be able to run 15 miles in 120 minutes

5 0

4 years ago

What is the value of the expression? 1 1/3 x 2/7

natka813 [3]

Answer:

$\frac{2}{21}$

Step-by-step explanation:

First, apply the fraction rule.

$\frac{1}{3}\cdot \frac{2}{7}=\frac{1\cdot \:2}{3\cdot \:7}$

$=\frac{1\cdot \:2}{3\cdot \:7}\\$

Then, I multiplied the numbers on top.

$=\frac{2}{3\cdot \:7}$

Finally, I multipiled the numbers on the bottom.

$=\frac{2}{21}$

Hope this helps, and have a blessed day!

3 0

3 years ago

9*10^7 is how many times larger than 3*10^-2

oee [108]

Step by step equation

5 0

4 years ago

Read 2 more answers

Given sin x =-4/5 and x is in quadrent 3, what is the value of tan x/2

4vir4ik [10]

Answer:

We can write sin x in terms of tan x/2 using the formula:

⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))

Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.

⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))

Now, if we replace tan (x/2) by y, we get a quadratic equation:

⇒ 0.8y2 + 2y + 0.8 = 0

⇒ 2y2 + 5y + 2 = 0

By using the quadratic formula, we get y = -0.5, -2

Hence, the value of tan (x/2) = -0.5, -2

Now, we have two solutions of tan (x/2).

Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).

For tan (x/2) = -0.5:

⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3

It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.

Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.

Now let's check for tan (x/2) = -2.

⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3

Here, we get tan x = 4/3 which is positive.

Hence, we can say that tan (x/2) = -2 is a correct solution.

5 0

3 years ago

The heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. Men the same

san4es73 [151]

Answer:

Step-by-step explanation:

$Z=\frac{x-mu}{\sigma }$

X - Heights of women aged 20 to 29: X is N(64, 2.7)

Y - Heights of men aged 20 to 29: X is N(69.3, 2.8)

a) X=6'=72"

Z= $\frac{72-64}{2.7} =2.963$

b) Y = 72"

z= $\frac{72-69.3}{2.8} =0.965$

c) 72' women can be taken as very tall but men moderately taller than average

d) Y<5'5" =65"

Z< $\frac{65-69.3}{2.8} =-1.536$

e) X>73"

Z> $\frac{73-64}{2.7} =3.33$

Almost 0% can be taken

f) IQR =Q3-Q1

Z scores =

5 0

3 years ago