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podryga [215]
3 years ago
13

Mary had four friends over to study for a test. Before her friends arrived, she baked four pies to share equally among herself a

nd her friends. How much pie is each person going to get? (Please explain how you got the answer)
Mathematics
1 answer:
Yanka [14]3 years ago
7 0

Answer:

4/5 of a pie

Step-by-step explanation:

Since she is having 4 friends over there will be a total of 5 people. So then you would do 4 divided by 5 since you are dividing 4 pies to 5 people and you get 0.80, or 4/5

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plz hurry 82 points help plzThe rental rate for a power washer has a one time fee of $50 plus $25 for each day of the rental. Th
Rudiy27

y = 25x + 50

$50 is a constant, whereas $25 is the daily rate and will vary

let x be the number of days rented, then

y = 25x + 50 ← in slope-intercept form


8 0
3 years ago
Read 2 more answers
HELP PLEASE 18 POINTS
ICE Princess25 [194]

Answer:

Step-by-step explanation:

line 1  m=y2-y1 / x2-x1  [formula for slope ]

m= 0 - (-3) / 8-(-4)

m= 3 /12      

m= 1/4  slope of line 1

line2  

m = 2-6 / 0-(-1)

m = -4 / 1

m = -4  slope of line 2

line 3

m = -4 - (-7)  / -3 -  6

m = 3 / -9

m = - 1/3  slope of line 3

lines 1 & 2   perpendicular b/c they are reciprocals with a sign change :)

lines 1 & 3     neither.. differet slopes and not reciprocals

lines 2 & 3  perpendicular  b/c they are reciprocals with a sign change :)

6 0
3 years ago
If p∨q is true, then what must be true about the truth values of p and q?
kiruha [24]
Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining." Note: As in the example, the contrapositive<span> of any true proposition is also true.

Therefore, the answer would be:

</span><span>If I don't spend money, then I don't have it.</span>
6 0
3 years ago
Read 2 more answers
Two number are in the ratio 5:6 and their sum is 44 .Use z as variable
Mariulka [41]

Answer:

the numbers are 20 and 24

Step-by-step explanation:

The numbers are in the ratio 5 : 6 = 5z : 6z , where z is a multiplier

The numbers sum to 44, thus

5z + 6z = 44

11z = 44 ( divide both sides by 11 )

z = 4

Hence

5z = 5 × 4 = 20

6z = 6 × 4 = 24

The two numbers are 20 and 24

8 0
3 years ago
Read 2 more answers
Assume the sample variances to be continuous measurements. Find the probability that a random sample of 25observations, from a n
konstantin123 [22]

Answer:

a) P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502

b)P(13.848Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by S^2 and we select a random sample of size n from a normal population with a population variance \sigma^2. And we define the following statistic:

T = \frac{(n-1) S^2}{\sigma^2}

And the distribution for this statistic is T \sim \chi^2_{n-1}

For this case we know that n =25 and \sigma^2 = 6 so then our statistic would be given by:

\chi^2 = \frac{(n-1)S^2}{\sigma^2}=\frac{24 S^2}{6}= 4S^2

With 25-1 =24 degrees of freedom.

Solution to the problem

Part a

For this case we want this probability:

P(S^2 > 9.1)

And we can multiply the inequality by 4 on both sides and we got:

P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

P(3.462 < S^2

If we multiply the inequality by 4 on all the terms we got:

P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2And we can find this probability like this:P(13.848And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"

8 0
3 years ago
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