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3 years ago

10

Rewrite 1÷4n and 3÷16n using the LCD as the denominator

1 answer:

raketka [301]3 years ago

3 0

Since there are no fractions, and therefore no denominators, the least common denominator is 1

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asambeis [7]

Answer:

i cant see the exponent sorry

Step-by-step explanation:

5 0

3 years ago

The perimeter of a rectangle is 40 units. One side of the rectangle is 7 and the other is x+2. What's the value of x?

lapo4ka [179]

Try 18 and then multiply the sum of 2 and 18 to 7

6 0

3 years ago

Read 2 more answers

roberto needs to convert the equation 3x + y = -5 into slope-intercept form. why is able to add or subtract the variable term fr

dimulka [17.4K]

3x + y = -5

-3x + 3x + y = -3x - 5

y = -3x - 5

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

The median weight of 21 dogs in a pet store is 14 pounds. Which action could CHANGE the median? A) the store gets a new 14-pound

mylen [45]

Answer:

B. the store gets a new 40-pound dog

Step-by-step explanation:

5 0

3 years ago