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3 years ago

Which value of n makes the following equation true?

Mathematics

1 answer:

grin007 [14]3 years ago

6 0

Answer: d. 512

Step-by-step explanation:

You need to remember that:

$(\sqrt[3]{x})^3=x$

Then, given the equation:

$\sqrt[3]{n}=8$

You can find the value of "n" that make the equation true, by solving for "n".

So, to solve for "n", you need to raise both side of the equation to power 3. Therefore, you get:

$\sqrt[3]{n}=8$

$(\sqrt[3]{n})^3=(8)^3$

$n=512$

Then, the value of "n" that makes the equation $\sqrt[3]{n}=8$ true is: 512 (You can observe that this matches with the option d).

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A set of average city temperatures in July are normally distributed

Archy [21]

Answer:

a) 59.87%

Step-by-step explanation:

Given that the mean temperature (μ) = 23.5°C and the standard deviation (σ) is 2 °C.

The z score is used in statistics to measure number of standard deviation by which the raw score is above or below the mean value, It is calculated using the equation:

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

The average temperature of the City of Van Nuys is 23 degrees. The z score is

$z=\frac{x-\mu}{\sigma}=\frac{23-23,5}{2} =-0.25$

P(x > 23) = P(z > -0.25) = 1 - P(z < -0.25) = 1 - 0.4013 = 0.5987 = 59.87%

3 0

3 years ago

Point AAA is at {(-7,5)}(−7,5)left parenthesis, minus, 7, comma, 5, right parenthesis and point CCC is at {(5,-1)}(5,−1)left par

omeli [17]

i like ricee but i also like horse meat and rice

3 0

3 years ago

g A shopping center includes a grocery store and a drug store. One%E2%80%8B afternoon, a total of 200 people visited the shoppin

QveST [7]

Answer:

a) 179 people shopped at the grocery store or the drug store.

b) 21 people shopped at neither the grocery store nor the drug store

Step-by-step explanation:

I am going to treat these events as Venn sets.

I am going to say that:

Set A: Shopped at the grocery store

Set B: Shoped at the drug store.

121 shopped at the grocery store:

This means that $A = 121$

91 shopped at the drug store:

This means that $B = 91$

33 shopped at both businesses.

This means that $A \cap B = 33$

a) How many people shopped at the grocery store or the drug store?

This is

$A \cup B = A + B - (A \cap B)$

With the values given in the exercise.

$A \cup B = A + B - (A \cap B) = 121 + 91 - 33 = 179$

179 people shopped at the grocery store or the drug store.

b) How many people shopped at neither the grocery store nor the drug store?

179 of 200 shopped in at least one. So 200 - 179 = 21 shopped at neither.

21 people shopped at neither the grocery store nor the drug store

8 0

3 years ago

Please Help. Find the area. Thank you

Andru [333]

Answer:

432 yd squared

Step-by-step explanation:

This is a parallelogram. The area of a parallelogram is denoted by: A = bh, where b is the base and h is the height. Here, the base is b = 19 1/5 and the height is h = 22 1/2. Plug these in:

A = bh = (19 1/5) * (22 1/2)

To make this simpler, let's convert the numbers into decimals. 1/5 is just 0.2 so 19 1/5 is 19.2. 1/2 is just 0.5, so 22 1/2 is 22.5. Now we have:

A = 19.2 * 22.5 = 432

Thus the area is 432 yd squared.

Hope this helps!

7 0

3 years ago

Read 2 more answers

P is the incenter of △JKL. Find m∠JKP. & can you please explain

dangina [55]

Answer:

m∠MKP = 35°

Step-by-step explanation:

Incenter is the intersection of angle bisectors.

∠MJP = ∠OJP, ∠MKP = ∠NKP, ∠NLP = ∠OLP

First find the value of x:

7x - 6 = 5x + 4
7x - 5x = 4 + 6
2x = 10
x = 5

Find the angle MJP:

7*5 - 6 = 29°

We know sum of interior angles of a triangle is 180°. Using this find the missing angle measure:

2*m∠MJP + 2*m∠NJP + 2*m∠MKP = 180°
m∠MJP + m∠NJP + m∠MKP = 90°
29° + 26° + m∠MKP = 90°
m∠MKP = 90° - 55°
m∠MKP = 35°

7 0

3 years ago