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3 years ago

(-4k4 + 14 + 3k?) + (-364 - 14k - 8)

Mathematics

1 answer:

zepelin [54]3 years ago

5 0

Answer:

it equals 38 because eit makes alot of sense and I e it with

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How many 1/6 are in 2/3?

mel-nik [20]

Answer:

It takes 4 one-sixth sized pieces to make the two-thirds. and we can see that there 1 \times 6 = 6 sixths in a whole.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125

kicyunya [14]

Answer:

The probability is $P(14 < X < 20 ) = 0.5354$

Step-by-step explanation:

From the question we are told that

The proportion that live with their parents is $\r p = 0.142$

The sample size is n = 125

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

i.e

$X \ \~ \ B( \mu , \sigma )$

Now the mean is evaluated as

$\mu = n * \r p$

$\mu = 125 * 0.142$

$\mu = 17.75$

Generally the proportion that are not staying with parents is

$\r q = 1 - \r p$

= > $\r q = 0.858$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{n * \r p * \r q }$

$\sigma = \sqrt{ 125 * 0.142 * 0.858 }$

$\sigma = 3.90$

Given the n is large then we can use normal approximation to evaluate the probability as follows

$P(14 < X < 20 ) = P( \frac{ 14 - 17.75}{3.90}$

Now applying continuity correction

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < \frac{ X - \mu }{\sigma } < \frac{ 19.5 - 17.75}{3.90} )$

Generally

$\frac{ X - \mu }{\sigma } = Z ( The \ standardized \ value \ of X )$

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < Z< \frac{ 19.5 - 17.75}{3.90} )$

$P(14 < X < 20 ) = P( -1.0897 < Z< 0.449 } )$

$P(14 < X < 20 ) = P( Z< 0.449 ) - P(Z < -1.0897)$

So for the z - table

$P( Z< 0.449 ) = 0.67328$

$P(Z < -1.0897) = 0.13792$

$P(14 < X < 20 ) = 0.67328 - 0.13792$

$P(14 < X < 20 ) = 0.5354$

6 0

3 years ago

Find the absolute maximum value for the function f(x) = x^2 − 4, on the interval [–3, 0) U (0, 2].

Andreyy89

Answer:

Step-by-step explanation:

The function $y=x^2 -4$ is

decreasing for all $x\in [-3,0);$
is increasing for all $x\in (0,2]$

(see attached diagram for details).

The maximum value of the function is at endpoints -3 or 2. find y(-3) and y(2):

$y(-3)=(-3)^2-4=9-4=5\\ \\y(2)=4^2-4=0$

So, the maximum value is 5.

5 0

3 years ago

Solve for n in the literal equation a(n-2)+5=bn

Helga [31]

Answer:

Answer is below

Step-by-step explanation:

a(n-2)+5=bn

Add -bn to both sides

an-2a+5+(-bn)=bn+(-bn)

an-bn-2a+5=0

add two a to both sides

an−bn−2a+5+(2a)=0+(2a)

an−bn+5=2a

Add -5 to both sides

an−bn+5+(-5)=2a+(-5)

an−bn=2a−5

Factor out our variable

n(a−b)=2a−5

Divide both sides by a-b

n(a-b)/a-b=2a-5/a-b

n=2a-5/a-b

Hope this helps

7 0

3 years ago

30 grams equals how many milligrams

OleMash [197]

Answer:

30000

Step-by-step explanation:

30 x 1000

3 0

3 years ago

Read 2 more answers