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3 years ago

12

Challenge 5 Rani, Layla and Tash take part in a basketball competition. Rani scores 4 times as many baskets as Layla. Tash score

s 8 baskets less than Rani. They score 100 baskets in total.

1 answer:

Murljashka [212]3 years ago

4 0

Answer:

Step-by-step explanation:

r=4*l

t=r-8

t=4l-8

r+t+l=100

4l+4l-8+l=100

9l-8=100

+8 +8

9l=108

:9. :9

l=12 Layla score

4*12=48 Rani score

48-8=40 Tash score

verify 12+40+48=100 correct

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25 10^6 in standard form

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Answer:

0^6= 1000000. The final answer is 25000000.

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Barney made $50,000 last year. He increases amount by 8% this year how much does he make this year?

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Answer:$54000

Step-by-step explanation:

8%of50000=4000

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3 years ago

Betty saves $161 a month. She saves $141 less each month than Jack. How much will jack save in 2 years?

tresset_1 [31]

Given that Betty saves $161 per month which is $141 less than Jack per month. find the amount that Jack will save in 2 years.

First, find how much Jack saves. We can do this buy adding 141 to 161 since Betty saves 141 less meaning we can reverse it by adding it.

141 + 161 = 302

Now, that we know how much Jack saves per month.

Then, we have to find out how many months are in 2 years.

We already know that there is 12 months in a year, so for 2 years, we can simply multiply by 2.

12 x 2 = 24

Therefore, there are 24 months in two years.

Lastly, multiply 24 months by the amount that Jack saves to get the amount in total.

24 x 302 = 7,248

Thus, Jack will save approximately $7,248 in 2 years.

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3 years ago

Read 2 more answers

From least to greatest 1/4in.,0.5in.,10/25in.

horrorfan [7]

1/4=.25
0.5=0.5
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Answer= 1/4, 10/25, 0.5

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3 years ago

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Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the

kodGreya [7K]

Answer:

p=0.7103 (4-game series)
p=0.6480 (2-game series)

Step-by-step explanation:

Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters n=4, p=0.6:

$P(X=4)={{i-1}\choose {4-1}}0.6^40.4^{i-4},\ i=4,5,6,7$

#We find probabilities for the different values of i:

$P(X=4)={3\choose 3}0.6^4=0.1296\\\\P(X=5)={4\choose 3}0.6^40.4^1=0.2074\\\\P(X=6)={5\choose 3}0.6^40.4^2=0.2074\\\\P(X=4)={6\choose 3}0.6^40.4^3=0.1659$

Hence, probability of the stronger team winning overall is:

$=P(X=4)+P(X=5)+P(X=6)+P(X=7)\\\\=0.7103$

#Define Y as the random variable for winning 2/3 games.:

$P(Y=2)={1\choose 1}0.6^2=0.3600\\\\P(Y=3)={2\choose3}0.6^20.4=0.2880\\\\P(win)=0.2880+0.3600=0.6480$

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480

The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)

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3 years ago