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Aleks04 [339]
3 years ago
14

AMA is N years old now.How old will she be in 10 years?

Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0

Answer:

N+10

Step-by-step explanation:

current age N, shebwill get 10 years older

You might be interested in
you want to purchase a new pair of jeans that cost $48 but on sale for 15% off. what's the sale price?​
jekas [21]
40.8 because u take 15 percent of 48 and subtract it from 48

7.2 - 48 = 40.8
3 0
3 years ago
The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x.
zlopas [31]

Answer:

x = 2.5

Step-by-step explanation:

Surface area of cylinder = 2πr(h + r)

Volume of cylinder = πr²h

Given that S.A = Volume of the cylinder, therefore, we have:

2πr(h + r) = πr²h

Radius (r) is given as 2.5 cm

height (h) = x cm

Input the values and solve for x

2πr(h + r) = πr²h

2πr(h + r) = πr(rh)

2(h + r) = rh (πr cancels πr)

2(x + 2.5) = 2.5*x

2x + 5 = 2.5x

Subtract 2x from both sides

2x + 5 - 2x = 2.5x - 2x

5 = 0.5x

Divide both sides by 0.5

\frac{5}{0.5} = \frac{0.5x}{0.5}

2.5 = x

x = 2.5

8 0
3 years ago
A consulting firm had predicted that 35% of the employees at a large firm would take advantage of a new company Credit Union, bu
m_a_m_a [10]

Answer:

a) 0.4770

b) 3.9945

c) z-statistics seem a large value

Step-by-step explanation:

<u>a. Find the standard deviation of the sample proportion based on the null hypothesis</u>

Based on the null hypothesis:

p_{0}: 0.35

and the standard deviation σ = \sqrt{p_{0} *(1-p_{0}) } =\sqrt{0.35 *0.65 } ≈0.4770

<u>b. Find the z statistic</u>

z-statistic is calculated as follows:

z=\frac{X-p_{o} }{\frac{s}{\sqrt{N} } } where

  • X is the proportion of employees in the survey who take advantage of the Credit Union (\frac{138}{300}=0.46)
  • p_{0} is the proportion in null hypothesis (0.35)
  • s is the standard deviation (0.4770)
  • N is the sample size (300)

putting the numbers in the formula:

z=\frac{0.46-0.35} }{\frac{0.4770}{\sqrt{300} } } = 3.9945

<u>c. Does the z statistic seem like a particularly large or small value?</u>

z-statistics seem a large value, which will cause us to reject the null hypothesis.

4 0
3 years ago
The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.
mr_godi [17]

Answer:

131 cm

Step-by-step explanation:

formula for surface area of pyramid is

S = (1/3)Bh

but the base ia a square, so B = x^{2}

S = (1/3)x^{2} h

the pic shows h = 8

but we don't know x

do SohCahToa

sin60 = x/8

x = 8sin60

x = 6.92820323 or 7

plug in numbers

S = (1/3)7^{2}8

S = 392/3

S = 130.6666667 or 131 cm

5 0
3 years ago
In an algebraic expression, what separates the terms?
PSYCHO15rus [73]
Operations like +, - separates the terms.
Ex: 2x²+ 4yz-z
3 0
3 years ago
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