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qwelly [4]
3 years ago
11

Duncan is running to raise awareness and money for cancer. He finds 2 people who have pledged to

Mathematics
1 answer:
nikklg [1K]3 years ago
4 0

Answer:

$1008

Step-by-step explanation:

12 x 7 = $84 his aunt gives him.

1 mile = 5,280 feet

5,280 x 7 = 36,960 feet he ran.

5,280 ÷ 40 = 132 for every mile he runs

132 x 7 = $924 from his neighbor.

924 + 84 = 1,008

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Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the proba
Fittoniya [83]

Question:

A = {2, 3, 4, 5}

B = {4, 5, 6, 7, 8}

Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9?

A. 0.15

B. 0.20

C. 0.25

D. 0.30

E. 0.33

Answer:

Option B: 0.20 is the probability of the sum of the two integers.

Explanation:

The sample space for selecting 2 numbers is given by

4\times 5 = 20

We need to determine the probability that the sum of two integers will be equal to 9.

Hence, we need to add the two integers from the sets A and B such that their sum will be equal to 9.

Hence, the sets are (2,7),(3,6),(4,5),(5,4)

Thus, the total number of sets whose sum is equal to 9 = 4

The probability that the sum of the two integers will equal 9 is given by

P=\frac{4}{20}

P=\frac{1}{5}

P=0.20

Thus, the probability that the sum of the two integers will equal 9 is 0.20

Hence, Option B is the correct answer.

4 0
4 years ago
Help, please! If possible explain it like your talking to a little kid :) Thank you♡
monitta

Answer:

GCF: y³z³

Step-by-step explanation:

The greatest common factor is the a term that you can take out of all the terms given to you. This term, when multiplied to each of the individual numbers in the set, will return you to the original amount.

In this case, note that they all share the variables y and z, and that each of them have <em>at least</em> 3 y's and 3 z's. For you to factor, you will divide these from all the terms.

\frac{x^{3}y^{5}z^{5} , y^{3}z^{5} , xy^{3}z^{3} }{y^{3}z^{3}} = x^{3}y^{2}z^{2} , z^{2} , x

y³z³(x³y²z² , z² , x)

~

7 0
3 years ago
What is the length of segment QR? (Show all work)
vazorg [7]
So if QR and PQ are the same ( which they are bc the angles and other sides are the same) 3n-1= 5n-7 so -1= 2n -7 so 6 = 2n so n = 3 then QR is 5n -7 so 5 x 3 is 15-7 is 8 so the answer is 8. Hope this helps :)
3 0
4 years ago
In parallelogram ABCD, base AD is 15 and side AB is 8. What are the height and area of paralelogram ABCD if mDAB is 20?
Goshia [24]

Step-by-step explanation:

✰ \underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}}} :

  • AD = 15 , AB = 8 , \angle DAB

✰ \underline{ \underline{ \large{ \tt{T \: O \: \: F\: I \: N \: D}}}} :

  • Height & Area of the given parallelogram

✰ \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I\: O \: N}}}} :

In right angled triangle ABE :

  • Hypotenuse ( h ) = 8
  • Perpendicular ( p ) = h [ height ]
  • \theta = 20°

Now , Using trigonometric ratio :

\large{ \tt{Sin \theta \:  = \:  \frac{Perpendicular}{Hypotenuse}  }}

Plug the known values :

⟶ \large{ \tt{ Sin(20)  =  \frac{h}{8} }}

⟶ \large{ \tt{0.34 =  \frac{h}{8}}}

⟶ \large{ \tt{h = 0.34 \times 8}}

⟶ \large{ \tt{h = 2.72}}

Now , We have :

  • Base ( b ) = 15
  • Height ( h ) = 2.72

Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :

❀ \underline{ \underline{ \text{Area \: of \: parallelogram =  \tt{b   *\:  h}}}}

⟶ \large{ \tt{A = 15  *2.72}}

⟶ \large{ \tt{A = 40.8 \:  {units}^{2} }}

Hence , Our final answer :

\large{ \boxed{ \sf{Height \: ( \: h \: ) = 2.72 \: units}}}

\large{ \boxed{ \sf{Area \: of \: parallelogram \: ( \:A \: ) = \: 40.8 \:  {units}^{2} }}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# \underbrace{ \tt{Carry \: On \: Learning}} !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

3 0
3 years ago
What is the RANGE and the IQR for 17,18,22,17,16,21,19,and16
Delvig [45]

Answer:

so 1- 2 is  negative 3 so minus tha by 3 than 4x2

Step-by-step explanation:

8 0
3 years ago
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