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sergey [27]
4 years ago
10

In a newspaper, it was reported that yearly robberies in Springfield were up 50% to 93 in 2013 from 2012. How many robberies wer

e there in Springfield in 2012?
Mathematics
2 answers:
DiKsa [7]4 years ago
8 0

Answer:

There were 62 deaths

Step-by-step explanation:

In this question, we are asked to calculate the number of robberies in 2012.

From the question we can identify that the number of robberies were up 50% to 93. What this means is that the number is simply 150% of the old number.

Now, let’s represent the number of deaths in 2012 by x

Mathematically;

150% of x = 93

150/100 * x = 93

150x = 93 * 100

150x = 9300

x = 9300/150

x= 62

This means there were 62 deaths in the year 2012

Orlov [11]4 years ago
7 0

Answer:

There were 62 robberies in Springfield in 2012.

Step-by-step explanation:

Let's marked (named) robberies in 2012 with x, which is worth 100%

93 robberies in 2013 worth 100% + 50% = 150%

Now we will make proportion

x : 93 = 100 : 150

When we multiply external and internal members we get

x/93 = 100/150

Cross multiply

150 x = 93 × 100

150x = 9300

x = 9300/150

x = 62 robberies in 2012

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3 years ago
25% of all who enters a race do not complete. 30 haveentered.
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Answer:

The probability that exactly 5 are unable to complete the  race is 0.1047

Step-by-step explanation:

We are given that 25% of all who enters a race do not complete.

30 have entered.

what is the probability that exactly 5 are unable to complete the  race?

So, We will use binomial

Formula : P(X=r) =^nC_r p^r q^{n-r}

p is the probability of success i.e. 25% = 0.25

q is the probability of failure =  1- p  = 1-0.25 = 0.75

We are supposed to find the probability that exactly 5 are unable to complete the  race

n = 30

r = 5

P(X=5) =^{30}C_5 (0.25)^5 (0.75)^{30-5}

P(X=5) =\frac{30!}{5!(30-5)!} \times(0.25)^5 (0.75)^{30-5}

P(X=5) =0.1047

Hence the probability that exactly 5 are unable to complete the  race is 0.1047

6 0
3 years ago
Solve for x in the equation x^2 - 8x + 40 = 0​
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Answer:

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Step-by-step explanation:

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3 years ago
It cost Josiah $4.48 to send 112 text messages. What is the cost of sending text
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Step-by-step explanation:

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3 years ago
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Answer:

8

Step-by-step explanation:

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Best of Luck!

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3 years ago
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