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3 years ago

At the beginning of the week, a puppy weighed 51/4 pounds. During the week, the puppy gains 8 ounces.

Mathematics

2 answers:

Sholpan [36]3 years ago

8 0

Answer:

51.25

Step-by-step explanation:

Hope this helped

OleMash [197]3 years ago

7 0

Answer:

51/12

as a mixed number

4 1/4

Step-by-step explanation:

first you add 8 to 4 which is 12

so the improper fraction would be 51/12

how to turn it in to a mixed number in simplest form

step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 51 by 12 and keep only what is to the left of the decimal point:

51 / 12 = 4.2500 = 4

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

51 - (12 x 4) = 3

Step 3 - Put Together

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

Step 4 - Minimize

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 51/12 as a Mixed Number is:

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The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5 . Suppose 49 golfers p

Nadya [2.5K]

Answer:

The probability that the average score of the 49 golfers exceeded 62 is 0.3897

Step-by-step explanation:

The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5

$\mu = 61$

$\sigma = 3.5$

We are supposed to find he probability that the average score of the 49 golfers exceeded 62.

Formula : $Z=\frac{x-\mu}{\sigma}$

$Z=\frac{62-61}{3.5}$

$Z=0.285$

Refer the z table for p value

p value = 0.6103

P(x>62)=1-P(x<62)=1-0.6103=0.3897

Hence the probability that the average score of the 49 golfers exceeded 62 is 0.3897

7 0

4 years ago

Find the area of the shaded regions:

White raven [17]

Answer:

41 Degrees

Step-by-step explanation:

So basically you add the 72 and the other 72 to get 148.You obviously know the angle in between 72 and 72 is a right angle or 90 degrees.Then you add 148 and 90 to get 238.Then 360 - 238 is 122.Now you know all the angles.So we have to ask ourselves what is 148/360 simplified.It is 37/90.Now that we know that and we know that the radius is 10.We have to find the regular area which is 10 times 10 which is 100.Finally we need to figure out what part of 100 is 37/90 and it is 41.111111111111.Rounded it is 41.

4 0

3 years ago

Read 2 more answers

Students in 6 classes, displayed below, ate the same ratio of cheese pizza slices to pepperoni pizza slices. Complete the follow

Vikki [24]

Slices of Cheese Pizza 2 , 6, 8, 5 ½, 3 1/3, 3/5 Slices of Pepperoni Pizza 5, 15, 20, 13 ¾, 8 1/3, 1 ½ Total Slices of Pizza 7, 21, 28, 19 ¼, 11 2/3, 2 1/10

5 0

3 years ago

. A box in a certain supply room contains four 40-W lightbulbs, five 60-W bulbs, and six 75-W bulbs. Suppose that three bulbs ar

yaroslaw [1]

Answer:

a) 59.34%

b) 44.82%

c) 26.37%

d) 4.19%

Step-by-step explanation:

(a)

There are in total 4+5+6 = 15 bulbs. If we want to select 3 randomly there are K ways of doing this, where K is the combination of 15 elements taken 3 at a time

$K=\binom{15}{3}=\frac{15!}{3!(15-3)!}=\frac{15!}{3!12!}=\frac{15.14.13}{6}=455$

As there are 9 non 75-W bulbs, by the fundamental rule of counting, there are 6*5*9 = 270 ways of selecting 3 bulbs with exactly two 75-W bulbs.

So, the probability of selecting exactly 2 bulbs of 75 W is

$\frac{270}{455}=0.5934=59.34\%$

(b)

The probability of selecting three 40-W bulbs is

$\frac{4*3*2}{455}=0.0527=5.27\%$

The probability of selecting three 60-W bulbs is

$\frac{5*4*3}{455}=0.1318=13.18\%$

The probability of selecting three 75-W bulbs is

$\frac{6*5*4}{455}=0.2637=26.37\%$

Since the events are disjoint, the probability of taking 3 bulbs of the same kind is the sum 0.0527+0.1318+0.2637 = 0.4482 = 44.82%

(c)

There are 6*5*4 ways of selecting one bulb of each type, so the probability of selecting 3 bulbs of each type is

$\frac{6*5*4}{455}=0.2637=26.37\%$

(d)

The probability that it is necessary to examine at least six bulbs until a 75-W bulb is found, supposing there is no replacement, is the same as the probability of taking 5 bulbs one after another without replacement and none of them is 75-W.

As there are 15 bulbs and 9 of them are not 75-W, the probability a non 75-W bulb is $\frac{9}{15}=0.6$

Since there are no replacement, the probability of taking a second non 75-W bulb is now $\frac{8}{14}=0.5714$

Following this procedure 5 times, we find the probabilities

$\frac{9}{15},\frac{8}{14},\frac{7}{13},\frac{6}{12},\frac{5}{11}$

which are

0.6, 0.5714, 0.5384, 0.5, 0.4545

As the events are independent, the probability of choosing 5 non 75-W bulbs is the product

0.6*0.5714*0.5384*0.5*0.4545 = 0.0419 = 4.19%

3 0

3 years ago

What does c equal in thus equation I don't know for the life of me help is deeply appreciated 4(3+c)+c=c+4

Shkiper50 [21]

Answer:

-2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(3+c)+c=c+4

(4)(3)+(4)(c)+c=c+4(Distribute)

12+4c+c=c+4

(4c+c)+(12)=c+4(Combine Like Terms)

5c+12=c+4

Step 2: Subtract c from both sides.

5c+12−c=c+4−c

4c+12=4

Step 3: Subtract 12 from both sides.

4c+12−12=4−12

4c=−8

Step 4: Divide both sides by 4.

−8

c=−2

5 0

3 years ago