All categories

2 years ago

Work out the following questions

Mathematics

2 answers:

Alisiya [41]2 years ago

5 0

Answer:

A= 8/21 B= 1/9

Step-by-step explanation:

A= 2x4 7x3

Just multiply straight across:)

B= 5x1 > 9x5 = 1/9

Hope this helps!

Likurg_2 [28]2 years ago

4 0

Answer:

a)8/21

b)1/9

Step-by-step explanation:

because when we divide fraction we resprocal the divisor

You might be interested in

According to the World Health Organization (WHO) Child Growth Standards, the head circumference for boys at birth is normally di

Elena L [17]

Answer:

$z = \frac{X -\mu}{\sigma}$

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

Step-by-step explanation:

We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:

$X\sim N(\mu = 34.5, \sigma=1.3)$

Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:

$Y\sim N(\mu = 33.9, \sigma=1.2)$

And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:

$z = \frac{X -\mu}{\sigma}$

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

5 0

3 years ago

Emma has money in two savings accounts. One rate is 7% and the other is 8%. If she has $450 more in the 8% account and the total

hodyreva [135]

Answer:

420

Step-by-step explanation:

3 0

3 years ago

What is the perimeter of the given rectangle 4x+8 and 2x+3

babunello [35]

You would set the equations equal to eachother and get x=-5/4 and then plug that in for x, i hope this helps!

3 0

3 years ago

In a right triangle the two sides are 10 and 5. find all possible values for the third side.

nikitadnepr [17]

Answer:

1. about 11.18

2. about 8.66

Step-by-step explanation:

1. 5^2 + 10^2= 125

square root of 125 equals about 11.18

2. 10^2-5^2=75

square root of 75 equals about 8.66

7 0

2 years ago

this is kinda confusing but it says “if 1 cm represents 2 meters, how long would each measurement be on an actual basketball cou

frosja888 [35]

Answer:

28 m
15 m
24.8 m
1.0 m

Step-by-step explanation:

The given statement is the scale factor:

$\dfrac{\text{scale distance}}{\text{actual distance}}=\dfrac{1\text{ cm}}{2\text{ m}}$

This can be rearranged to the formula ...

$\text{actual distance}=\text{(scale distance)}\dfrac{2\text{ m}}{1\text{ cm}}$

Filling in the given scale distances, you find the actual distances to be ...

$\textbf{(a) }(14\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=14\cdot2\text{ m}=28\text{ m}\\\\\textbf{(b) }(7.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=7.5\cdot2\text{ m}=15\text{ m}\\\\\textbf{(c) }(12.4\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=12.4\cdot2\text{ m}=24.8\text{ m}\\\\\textbf{(d) }(0.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=0.5\cdot2\text{ m}=1.0\text{ m}\\\\$

4 0

3 years ago