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Umnica [9.8K]
3 years ago
8

There were 6 pizza pies at the summer barbeque at Abby's House. She shares the pizza with her 7 friends. If all 8 people get the

same amount of pizza, what 1. portion of pizza can each person have? Use pictures, diagrams, or math operations to show your work.
Mathematics
1 answer:
vodka [1.7K]3 years ago
8 0

6 pies, 8 people

6 pies divided by 8 people

so 6/8

that is 0.75 or 3/4 or 75%

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Write the decimal and fraction in simplest form to represent the shaded portion of
Kamila [148]

Answer:

The decimal in simplest form is .625, and the fraction in simplest form is 5/8.

Step-by-step explanation:

To find the decimal that represents the shaded area, you have to find the fraction 5/8 and divide 5 by 8

Hope this helps!

8 0
2 years ago
At a fixed operating setting, the pressure in a line downstream of a reciprocating compressor has a mean value of 950 kPa with a
prisoha [69]

Answer:

4.75% probability that the line pressure will exceed 1000 kPa during any measurement

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 950, \sigma = 30

What is the probability that the line pressure will exceed 1000 kPa during any measurement

This is 1 subtracted by the pvalue of Z when X = 1000. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1000 - 950}{30}

Z = 1.67

Z = 1.67 has a pvalue of 0.9525

1 - 0.9525 = 0.0475

4.75% probability that the line pressure will exceed 1000 kPa during any measurement

7 0
3 years ago
What two numbers add up to 6 and multiply to 12?
GuDViN [60]
Erm

x+y=6
xy=12


x+y=6
y=6-x
sub back

xy=12
x(6-x)=12
6x-x^2=12
x^2-6x=-12
x^2-6x+12=0
quadratic formula
for
ax²+bx+c=0
x= \frac{-b+/- \sqrt{b^2-4ac} }{2a}

for
x²-6x+12=0
a=1
b=-6
c=12
and remember that √-1=i

x= \frac{-(-6)+/- \sqrt{(-6)^2-4(1)(12)} }{2(1)}
x= \frac{6+/- \sqrt{36-48} }{2}
x= \frac{6+/- \sqrt{-12} }{2}
x= \frac{6+/- (\sqrt{-1})(\sqrt{12}) }{2}
x= \frac{6+/- (i)(2\sqrt{3}) }{2}
x= \frac{6+/- 2i\sqrt{3} }{2}
x=3+/-i√3

the numbers are 3+i√3 and 3-i√3
no real numbers tho
7 0
3 years ago
In right triangle ABC, ∠B is a right angle and AB=72, BC=65, and AC=97.
notsponge [240]

Answer:

sinC=56/72

Step-by-step explanation: I cant explain it but it’correct

4 0
2 years ago
In a different plan for area​ codes, the first digit could be any number from 4 through 8​, the second digit was either 3, 4, 5,
Snezhnost [94]

For the first digit, we have 5 options that are 4,5,6,7,8 . For the second digit, we have 4 options which are 3,4,5 or 6 and for the third digit, we have the options of all numbers except 2 or 5 that is 1,3,4,6,7,8,9,0 . SO we have 8 options for third digit . So to find the total number of options, we need to multiply all the possible options for each digit that is 5 times 4 times 8 = 160 . So the number of possible options are 160 .

7 0
3 years ago
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