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2 years ago

8

Solve the equation 13x+16y=11 for y

1 answer:

Nana76 [90]2 years ago

6 0

x − 3 = 6 − 2 x = − 8 √ x = 3

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435 L = ______ KL So what do i put in the blank spot ?? i dont know how to do this

docker41 [41]

$1000\ L-1KL\\ 435\ L-x\\ \\1000\cdot x=435\cdot1\cdot \ KL\ /:1000\\ \\x=0.435\ KL$

5 0

3 years ago

Read 2 more answers

Which of the ratios below is equivalent to 5:2? Select all that apply.

Nata [24]

Answer:

D

Step-by-step explanation:

This is because they are both mulitplied by two so they are still equivalent

6 0

3 years ago

How do I solve y+5x=2;-1,0,1 ?

vfiekz [6]

Plug is the number try one and see if it equals and solve for y get y on one side

5 0

3 years ago

Which expression represents the distance between 1.8 and 9.4 on the number line?

zhuklara [117]

Answer:

|9.4-1.8|

Step-by-step explanation:

To find distance, you take the largest value minus the smallest value and then take the absolute value of that because distance can't be negative.

7 0

3 years ago

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