Math please help me with it

25 + 14 = blank + 25

sleet_krkn [62]

Answer:

14

Step-by-step explanation:

25 + 14 = 14 + 25

39 = 39

6 0

3 years ago

Your little cousin will have a big animal-themed birthday party and you will help with the goody bags. Each bag will have a penc

Bas_tet [7]

Using the least common factor, it is found that:

a) 60 packages should be bought.

b) There will be 5 filled goody bags.

<h3>Least Common Factor:</h3>

The sizes of the packages are: 10, 6, 15 and 12.

To fill each bag and have no left-overs, the number of packages is the <u>least common factor</u> of these amounts.

The least common factor is found factoring the numbers into prime factors.

Item a:

10 - 6 - 15 - 12|2

5 - 3 - 15 - 6|2

5 - 3 - 15 - 3|3

5 - 1 - 5 - 1|5

1 - 1 - 1 - 1

Hence, lcf(10,6,15,2) = 2 x 2 x 3 x 5 = 60.

60 packages should be bought.

Item b:

Goody bags are in packages of 12, hence:

60/12 = 5.

There will be 5 filled goody bags.

To learn more about the least common factor, you can take a look at brainly.com/question/24873870

6 0

1 year ago

[6+4=10 points] Problem 2. Suppose that there are k people in a party with the following PMF: • k = 5 with probability 1 4 • k =

kirza4 [7]

Answer:

1). 0.903547

2). 0.275617

Step-by-step explanation:

It is given :

K people in a party with the following :

i). k = 5 with the probability of $\frac{1}{4}$

ii). k = 10 with the probability of $\frac{1}{4}$

iii). k = 10 with the probability $\frac{1}{2}$

So the probability of at least two person out of the 'n' born people in same month is = 1 - P (none of the n born in the same month)

= 1 - P (choosing the n different months out of 365 days) = $1-\frac{_{n}^{12}\textrm{P}}{12^2}$

1). Hence P(at least 2 born in the same month)=P(k=5 and at least 2 born in the same month)+P(k=10 and at least 2 born in the same month)+P(k=15 and at least 2 born in the same month)

= $\frac{1}{4}\times (1-\frac{_{5}^{12}\textrm{P}}{12^5})+\frac{1}{4}\times (1-\frac{_{10}^{12}\textrm{P}}{12^{10}})+\frac{1}{2}\times (1-\frac{_{15}^{12}\textrm{P}}{12^{15}})$

= $0.25 \times 0.618056 + 0.25 \times 0.996132 + 0.5 \times 1$

= 0.903547

2).P( k = 10|at least 2 share their birthday in same month)

=P(k=10 and at least 2 born in the same month)/P(at least 2 share their birthday in same month)

= $0.25 \times \frac{0.996132}{0.903547}$

= 0.0.275617

6 0

2 years ago

Harold earns $10.50 per hour working at a doctor’s office. On Monday he spent 1 5/12 hours filing paper work, 1 3/4 sending emai

maks197457 [2]

Answer:$57.75

Step-by-step explanation:

Find the total amount of hours he worked

$1\frac{5}{12} +1\frac{3}{4} +2\frac{1}{3}\\\\\frac{17}{12}+ \frac{7}{4} +\frac{7}{3} \\\\\frac{17+21+28}{12} \\\\\frac{66}{12}=\frac{66/2}{12/2}=\frac{33/3}{6/3}= \frac{11}{2} or 5\frac{1}{2} or 5.5h$

So, he worked 5.5h and he earns $10.50 an hour.

($10.50)(5.5h)=$57.75

5 0

2 years ago

What is the measure of the missing angle?

Lerok [7]

Answer:

115°

Step-by-step explanation:

Knowing that the sum of all interior angles of any triangle is 180 degrees, we can find the measurement of the missing angle of the triangle. The calculation is 180 - 75 - 40 = 65. Then, notice that the blue angle and the missing angle are supplementary (linear; add up to 180 degrees). So we can find the blue angle's measurement by 180 - 65, so the answer is 115 degrees.

3 0

2 years ago