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SVEN [57.7K]
3 years ago
7

James was asked to add 5 to a number and multiply the result by 5. He however first subtracted 5 from the number and then divide

d by 5, getting 5 as the answer. What is the correct answer?​
Mathematics
1 answer:
notka56 [123]3 years ago
8 0

Answer:

175

Step-by-step explanation:

Let's see what James DID to the number (let it be x):

x - 5 [firstly he did this]

then

(x - 5)/5

This is equal to 5.

So,

\frac{x-5}{5}=5\\x-5=25\\x=30

So, this number is 30

The correct answer would thus be:

Adding 5 to 30, which gives us 35

And then multiply by 5, which gives us 35 * 5 = 175

You might be interested in
Find 3x2 − y3 − y3 − z if x = 3, y = −2, and z = −5.
IceJOKER [234]
3x²-y³ - y³ - z        if x = 3, y = -2, z = -5

Simply plug in all the values :)

3(3²) - (-2³) - (-2³) - (-5)

Simplify.

3(9) + 2³ + 2³ + 5

Simplify.

27 + 8 + 8 + 5

Simplify.

35 + 13

Simplify.

48

~Hope I helped!~
4 0
3 years ago
You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question. Suppose that you h
damaskus [11]

Answer:

a) Expected score on the exam is 12.8.

b) Variance 10.24, Standard deviation 3.2

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guesses the answer correctly, or you does not. The probability of guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The variance of the binomial distribution is:

V(X) = np(1-p)

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

64 questions.

So n = 64

5 possible answers, one correctly, chosen at random:

So p = \frac{1}{5} = 0.2

(a) What is your expected score on the exam?

E(X) = np = 64*0.2 = 12.8

(b) Compute the variance and standard deviation of x. Variance =Standard deviation

V(X) = np(1-p) = 64*0.2*0.8 = 10.24

Variance 10.24

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{64*0.2*0.8} = 3.2

Standard deviation 3.2

5 0
3 years ago
Which list includes the lower extreme, the lower quartile, the median, the upper quartile, and the upper extreme for the data se
PtichkaEL [24]
Lower extreme- 8
Lower quartile- 20
Median- 30
Upper quartile- 35
Upper extreme- 42

Hope this helps!
7 0
2 years ago
a seed company has a test plot in which it is testing the germination of a hybrid seed, They plant 50 rows of 40 seeds per row.
ziro4ka [17]

Answer:

Mean =\sum x P(x) = 36.86

Standard deviation =\sum x^2P(X)=1360.9

Step-by-step explanation:

x          P(x) x \times P(x)       x^2 \times  P(x)

33         0.02     0.66          21.78

34          0.06     2.04         69.36

35           0.1      3.5        122.5

36           0.2      7.2         259.2

37           0.24     8.88        328.56

38           0.26     9.88        375.44

39            0.1     3.9         152.1

40            0.02     0.8         32

             1        36.86      1360.9

We are supposed to find mean and standard deviation

Mean =\sum x P(x) = 36.86

Standard deviation =\sum x^2P(X)=1360.9

7 0
3 years ago
Simplify 45/150 show work please:)
Jlenok [28]

Answer:

\frac{3}{10}

Step-by-step explanation:

\frac{45}{150}  15 can go into both 45 and 150 so you divide both into that

45/15 is 3

150/15=10

\frac{3}{10}

7 0
2 years ago
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