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statuscvo [17]
2 years ago
9

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 9, 8, 12, 6, 10. What is th

e mean number of pages she wrote per day? *
Mathematics
1 answer:
cricket20 [7]2 years ago
4 0

Answer:

She wrote 9 pages per day on average

Step-by-step explanation:

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:

Monday = 9

Tuesday =8

Wednesday = 12

Thursday = 6

Friday = 10

Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean =\frac{9+8+12+6+10}{5}

Mean=9

Hence She wrote 9 pages per day on average

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The square of a number decreased by 3 times the number 28 find all possible values for the number
stealth61 [152]

Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number  

Answer:

The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

a^2 - 3a = 28

a^2 - 3a - 28 = 0

Let us solve the above quadratic equation

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28

\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}

Thus the possible values of number are 7 and -4

5 0
2 years ago
Write the corresponding fraction for each of the underlined digits. a. .1277 b. .37 c. .243 d. .1156
Jlenok [28]
If these are in mixed fraction then they are in these following fractions:
a. 1 277/1000
b. 3 7/10
c. 2 43/100
d. 1 156/1000
This is just simple, you just have to times the denominator to the whole number and add it to the numerator. You will get the same answer as the given.
7 0
2 years ago
Read 2 more answers
mary is preparing for her college entrance exams. in a practice test, she answered 12 problems in 30 minutes. at this rate, how
mariarad [96]
12 problems = 30 minutes
24 problems = 60 minutes
36 problems= 90 minutes
48 problems = 120 minutes
60 problems = 150 minutes 

Mary can respond 60 problems in 2 hours and 30 minutes/ 2 hours and half/ 150 minutes.

Hope this helps xx
3 0
2 years ago
Read 2 more answers
A warehouse store sells 4.5​-ounce cans of tuna in packages of 3. A package of 3 cans costs ​$4.32. The store also sells 3.5​-ou
disa [49]

Answer:

The 6.5​-ounce cans offer the largest size at a fair cost and is the best to buy.

Step-by-step explanation:

Size of the 4.5​-ounce cans of tuna in package = 4.5 × 3 = 13.5 ounce

Cost of the package= ​$4.32

Size of the 3.5​-ounce cans = 3.5 × 4 = 14 ounce

Cost of the package= ​$3.92

Size of the 6.5​-ounce cans = 6.5 × 5 = 32.5 ounce

Cost of the package= ​$9.75

The 6.5​-ounce cans offer the largest size and is the best to buy.

7 0
1 year ago
Suppose you know that Mr. and Mrs. Vincent have at most eight children. One day you happen to meet two girls who were the Vincen
lianna [129]

Answer:

The number of children are 4 out of which 3 are girls

Step-by-step explanation:

Data provided in the question:

P(Two randomly selected children are girls) = \frac{1}{2}

now,

let the number of children be 'n'

the number of girls be 'x'

thus,

P(Two randomly selected children are girls) = \frac{^xC_2}{^nC_2} = \frac{1}{2}

also,

^nC_r = \frac{n!r!}{(n-r)!}

thus,

\frac{\frac{x!2!}{(x-2)!}}{\frac{n!2!}{(n-2)!}} = \frac{1}{2}

or

\frac{x(x-1)}{n(n-1)}=\frac{1}{2}

or

2x(x-1) = n(n-1)

now

for x = 3 and n = 4

i.e

2(3)(3-1) = 4(4-1)

12 = 12

hence, the relation is justified

therefore,

The number of children are 4 out of which 3 are girls

3 0
2 years ago
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