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nekit [7.7K]
3 years ago
7

Answer all question

Mathematics
1 answer:
ch4aika [34]3 years ago
4 0

Answer:

1. LCM of 18 & 12 = 36 minutes

2. 0.00095897

explanation.

2 18 2 12

____I______ ___l_________

3 9 2 6

____l_______. ___I_________

3 3 3 3

_____l________. ___l_________

l 1

18= 2×3×3 12=2×2×3

1 2 2 1

=1 × 3 =2 × 3

L.C.M= product of greatest power of each prime factor.

2 2

= 2 × 3

=4×9 = 36

hence, time taken by both to meet again

LCM of 18 & 12 =36 minutes

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The area of the base of a prism is 21 cm2. The perimeter of the base is 20 cm. The height of the prism is 8 cm.
mart [117]
The lateral area of the prism equals to height * perimeter of the base. So the lateral area is 160 cm2. And the surface area of the prism equals to the area of the base*2+the lateral area= 202 cm2.
7 0
3 years ago
Jeremy's score was 1.75 standard deviations above the mean. which kf thr following is closest to his percentile rank
Gelneren [198K]
The answer is 96%.

Explanation:
It is generally presumed that the scores are normally distributed.

1) You are given how many standard deviations from the mean Jeremy's score is. This is exactly the definition of the z-score. Therefore z = 1.75

2) Look at a left-tail z-table in order to find the area of the normal curve on the left of your z-score (see picture attached). A = 0.9599

3) Multiply the area by 100 in order to find the percentile:
<span>0.9599 </span>× 100 = 95.99
Therefore, 95.99% of the students scored less than Jeremy.

Hence, the answer is 96%.

4 0
3 years ago
What is the unit of time (t) when calculating interest?
Ymorist [56]

Answer:

t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years.

Step-by-step explanation:

 

7 0
2 years ago
Sandy makes $2 profit on every cup of lemonade that she sells and $1 on every cupcake she sells. Sandy wants to sell at least 5
Assoli18 [71]

Answer:

two possible combinations are

- 7 cups of lemonade and 11 cupcakes

- 10 cups of lemonade and 5 cupcakes

Step-by-step explanation:

5 0
3 years ago
On a coordinate plane, a line is drawn from point C to point D. Point C is at (negative 1, 4) and point D is at (2, 0). Point C
skelet666 [1.2K]

Answer:

distance = 5 units

Step-by-step explanation:

In order to solve this problem we can start by plotting the two points you were provided with (see attached picture). This will help us visualize the problem better.

Now, we need to find the distance between those two points, so in order to do so we can use the distance formula:

distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

in this case the x's and y's are given by the given points, since they are written as ordere pairs. And ordered pairs are written in the form (x,y). So for Point C:

C=(-1,4)

x_{1}=-1

y_{1}=4

and for point D

D=(2.0)

x_{2}=2

y_{2}=0

so we can now use those values in our distance formula so we get:

d=\sqrt{(2-(-1))^{2}+(0-4)^{2}}

d=\sqrt{(3)^{2}+(-4)^{2}}

d=\sqrt{9+16}

d=\sqrt{25}

d=5 units.

3 0
3 years ago
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