3 years ago

Steve traveled the first 7 hours of his journey at 40 mph and

Mathematics

1 answer:

Over [174]3 years ago

3 0

Answer:

730 miles

Step-by-step explanation:

7 hours * 40 mph=280 miles

9 hours * 50 mph= 450 miles

280+450=730 miles.

Hope this helps!

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A motel clerk counts his $1 and $10 bills at the end of the day. He finds that he has a total of 55 bills having a combined mo

vfiekz [6]

Answer

39 bills of 1$

16 bills of 10$

Step-by-step explanation:

x-nr of $1

y-nr of $10

x*1+y*10=199

x+y=55 , x=55-y

so I use the substitution method

(55-y)*1+10y=199

55+10y-y=199

-55 -55

9y=144

y=144/9

y=16

so x=55-16

x=39

verify 16*10+39*1=160+39=199

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3 years ago

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You need 150g of flour for 12 cakes, how much flour do you need for 30 cakes?

Bogdan [553]

150 g flour for 12 cakes
x g flour for 30 cakes
x = (150 x 30) : 12 = 375 g of flour

another method:

150 flour for 12 cakes
??? for 30 cakes

30 : 12 = 2.5
150 x 2.5 = 375 g flour

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3 years ago

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If 890 was added to the data 42,43,44,46,81 it will be considered what because it is much high value than the other data?

Ksenya-84 [330]

An outlier, it's when a number is much greater or lower than all the rest of the numbers.

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3 years ago

What is the answer to <br> 0.4 ÷0.3 = ?

SOVA2 [1]

1.33333333333333333333333333333333333333333333333
or 1.33

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According to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probability that

WITCHER [35]

Answer: 0.01145

Step-by-step explanation:

We use Binomial distribution , where the probability of getting x successes in n trial is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , p = probability of getting each success in each trial.

As per given

The proportion that a car with a certain protection system will be recovered= p=0.87

n= 8

Let x be the number of cars will be recovered.

Then, the probability that 4 of 8 stolen cars will be recovered:

$P(X=4)=^8C_4(0.87)^4(1-0.87)^{8-4}$

$=\dfrac{8!}{4!(8-4)!}(0.87)^4(0.13)^4\\\\= 70(0.57289761)(0.00028561)\\\\=0.0114537700474\approx0.01145$

Hence, the required probability is 0.01145.

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3 years ago