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mixer [17]
3 years ago
8

Help anyone please :)

Mathematics
1 answer:
BARSIC [14]3 years ago
8 0
Nah... The answer is Aida’s work. 5 to the power of 4 is the same as 5x5x5x5.
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Eight friends ate ⅝ of a bag of chips. What fraction of the bag did each person eat, assuming that they each ate the same amount
Nataliya [291]

Answer:

Option B.  of the bag.

Step-by-step explanation:

Eight friends ate  of a bag of chips in the same amount.

We have to find the quantity that each person ate the chips.

Each friend ate =  ÷ 8

                         =  ×  

                         =  

Therefore, each friend ate  of the bag of chips.

Option B is the answer.

7 0
3 years ago
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An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 42 and σ = 5.5.
alexandr1967 [171]

Answer:

a)P( X

We want this probability:

P( X >64)

And using the z score formula given by:

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

We got:

P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316

b) For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.674

And if we solve for a we got

a=42 +0.674*5.5=45.707

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.  

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 heights of a population, and for this case we know the distribution for X is given by:

X \sim N(42,25.5)  

Where \mu=42 and \sigma=5.5

And we want this probability:

P( X

And using the z score formula given by:

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

We got:

P( X

We want this probability:

P( X >64)

And using the z score formula given by:

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

We got:

P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316

Part b

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.674

And if we solve for a we got

a=42 +0.674*5.5=45.707

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.  

8 0
3 years ago
Which expression is equavalent to g-m divided by g^n
alexdok [17]

Answer:

kbjkbhvucsorrymycomputerisbeingweirdforsomereason

Step-by-step explanation:

4 0
2 years ago
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Which is the correct algebraic representation for the area of a circle?
fiasKO [112]
B because pie radius square = area of a circle
4 0
3 years ago
1What is 1-1(0)-55+67
saveliy_v [14]

Answer:

13

Step-by-step explanation:

Questions with multiple signs are solved using the rule of BODMAS. Which means, Bracket Of Division, Multiplication, Addition and Subtraction.

In the question, we have Bracket, Addition and Subtraction, and will be answered in that order

1-1(0)-55+67

1-0-55+67

1-0+(-55+67)

1-0+(12)

1+12

13

7 0
3 years ago
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