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3 years ago

What is the value of x?

1 answer:

3 0

Answer:
x = 11/36

Explanation:
Step 1 - Write down the equation

x + 4/9 = 3/4

Step 2 - Subtract 4/9 from both sides of the equation

x + 4/9 = 3/4
x + 4/9 - 4/9 = 3/4 - 4/9
x = 11/36

Extra:
If you would like to check and make sure the value of x is correct, simply replace x with its value and solve.

x + 4/9 = 3/4
11/36 + 4/9 = 3/4
27/36 = 3/4
3/4 = 3/4 ✅

So, the value of x is in fact 11/36

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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

What’s the right answer?

Greeley [361]

Answer:

Step-by-step explanation:

Just divide

5 0

3 years ago

Which two are equivalent to 32 divided by 6?

Zarrin [17]

286 and 446 :) hope it helps

7 0

3 years ago

Read 2 more answers

Put in order pls... round to the nearest whole number and hundredths place

puteri [66]

Whole Numbers

7.602= 8

7.823= 8

8.019= 8

8.246= 8

8.852= 9

8.915= 9

9.193= 9

9.424= 9

Hundredths

7.602= 7.60
7.823= 7.82
8.019= 8.02
8.246= 8.25
8.852= 8.85
8.915= 8.92
9.193= 9.19
9.424= 9.24

4 0

3 years ago

Write rational numbers between 0 and 1

rewona [7]

Step-by-step explanation:

Multiply any number with their denominator

0/1×20=0/20

1/1×20= 20/20

Now,

3/20,5/20,6/20,15/20,18/20.....

3 0

3 years ago