30 points and brainliest answer asap pls

How would you simplify 56 hundredths in fractions

garri49 [273]

First, let's divide by 4, since 4 can go into both the numerator and denominator.

56/4 = 14
100/4 = 25

That gives us 14/25.

That fraction can't be reduced further, so the simplest form of 56/100 is 14/25.

Hope that helped!

5 0

3 years ago

Consider the system of equations given below

siniylev [52]

Answer:

its A or C

Step-by-step explanation:

5 0

3 years ago

A restaurant manager wants to purchase 200 sets of dishes. one design costs $15 per set, while another costs $55 per set. if

vivado [14]

Hello,

Let's solve this problem mathematically.

For first design...

$f = 200 \times 15 = 3000$

For second design...

$s = 200 \times 55 = 11000$

To use an entire budget for design she must order.

For first design

5800÷3000 = 1.93f

or
For second design

5800÷11000=0.52s

Hope this helps answer your question!
r3t40

5 0

3 years ago

In a recent year, the ACT scores for the math portion of the test were normally distributed, with a mean of 21.1 and a standard

Natali5045456 [20]

Answer:

a) $P(X$

And we can find this probability using the normal standard table or excel:

$P(z$

b) $P(19$

And we can find this probability with this difference:

$P(-0.396$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-0.396$

c) $P(X>26)=P(\frac{X-\mu}{\sigma}>\frac{26-\mu}{\sigma})=P(Z>\frac{26-21.1}{5.3})=P(z>0.925)$

And we can find this probability using the complement rule and the normal standard table or excel:

$P(z>0.925)=1- P(Z$

d) We can consider unusual events values above or below 2 deviations from the mean

$Lower = \mu -2*\sigma = 21.1 -2*5.3 =10.5$

A value below 10.5 can be consider as unusual

$Upper = \mu +2*\sigma = 21.1 +2*5.3 =31.7$

A value abovr 31.7 can be consider as unusual

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(21.1,5.3)$

Where $\mu=21.1$ and $\sigma=5.3$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard table or excel:

$P(z$

Part b

$P(19$

And we can find this probability with this difference:

$P(-0.396$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-0.396$

Part c

$P(X>26)=P(\frac{X-\mu}{\sigma}>\frac{26-\mu}{\sigma})=P(Z>\frac{26-21.1}{5.3})=P(z>0.925)$

And we can find this probability using the complement rule and the normal standard table or excel:

$P(z>0.925)=1- P(Z$

Part d

We can consider unusual events values above or below 2 deviations from the mean

$Lower = \mu -2*\sigma = 21.1 -2*5.3 =10.5$

A value below 10.5 can be consider as unusual

$Upper = \mu +2*\sigma = 21.1 +2*5.3 =31.7$

A value abovr 31.7 can be consider as unusual

6 0

3 years ago

Find the radius of a circle with an area of 380 square inches. Round your answer to the nearest hundredth.

sesenic [268]

Answer

Area of a circle is defined as

Area of a circle is defined asA = πr²

Area of a circle is defined asA = πr²Where

Area of a circle is defined asA = πr²WhereA is the area of the circle

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circle

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²10.5533 = r

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²10.5533 = rr = 10.5533 in

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²10.5533 = rr = 10.5533 inNearest hundredth means to 2d.p

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²10.5533 = rr = 10.5533 inNearest hundredth means to 2d.pTherefore

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²10.5533 = rr = 10.5533 inNearest hundredth means to 2d.pThereforer = 10.55 inches

4 0

3 years ago

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