All categories

3 years ago

Aden received these two presents for his birthday which has a greater volume SHOW YOUR WORK

Mathematics

1 answer:

qaws [65]3 years ago

7 0

The formula is L*W*D, right?
So for the cube, since all sides are equal then the Length, Width and Depth would all be 8 unless otherwise specified. 8*8*8=512
The rectangle would be 10*2*3&1/2 or 10*2*3.5=70
I hope this is correct but if you want check my work with a calculator to make sure.

You might be interested in

which uppercase letters will not appear reversed when they are held in front of a mirror? what type of symmetry do these letters

Irina-Kira [14]

A,H,I,M,O,T,U,V,W,X,Y --- these have vertical symmetry

a word whose reflection is also a word....YAM and MAY

3 0

3 years ago

2. If y varies inversely as x and<br> y = 3 when x = 5, find x when y = 2.5

4vir4ik [10]

Answer:

Step-by-step explanation:

From the law of variation,

y <> 1/x, where <> is the constant of proportionality. Therefore

y = k/x where k is a constant

3 = k/5 and k = 15

To find x when y = 2.5(5/2)

Go back to the second equation

y = k/x

5/2 = 15/x

When you cross multiply

5x = 30.

Divide through by 5,

x = 6.

8 0

3 years ago

Write the equation in slope intercept form of a line that goes through (4,9) and has a slope of 1/2

Vedmedyk [2.9K]

Answer:

y = $\frac{1}{2}$ x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = $\frac{1}{2}$ , hence

y = $\frac{1}{2}$ x + c ← is the partial equation

to find c substitute (4, 9) into the partial equation

9 = 2 + c ⇒ c = 9 - 2 = 7

y = $\frac{1}{2}$ x + 7 ← equation in slope-intercept form

4 0

3 years ago

A woman is randomly selected from the 18–24 age group. For women of this group, systolic blood pressures (in mm Hg) are normally

Naddik [55]

Answer:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this: $P(X>140)=P(\frac{X-\mu}{\sigma}>\frac{140-\mu}{\sigma})=P(Z>\frac{140- 1114.8}{2.6})=P(z>1.924)$ And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

8 0

3 years ago

A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that

natulia [17]

Answer:

x ≤ 207 crates

Step-by-step explanation:

Greatest weight of the container = 27,500 kilograms

Weight of other shipment = 6,800 kilograms

Weight of a crate = 100 kilograms

Number of 100-kilogram crates that can be loaded into the shipping container = x

The inequality is

27,500 ≤ 6800 + 100x

27,500 - 6800 ≤ 100x

20,700 ≤ 100x

x ≤ 20,700 / 100

x ≤ 207 crates

3 0

3 years ago