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LenaWriter [7]
2 years ago
13

Sum of 5 3/7 - 2 1/5

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
4 0

Answer:

Step-by-step explanation:

5 3/7= 38/7 (move the wholes into the fraction)

2 1/5=11/5

38/7- 11/5  we need the common denominator=35

190/35 -77/35= 113/35

=3 8/35

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Merta reports that 74% of its trains are on time. A check of 60 randomly selected trains shows that 38 of them arrived on time.
kenny6666 [7]

Answer:

No, the on-time rate of 74% is not correct.

Solution:

As per the question:

Sample size, n = 60

The proportion of the population, P' = 74% = 0.74

q' = 1 - 0.74 = 0.26

We need to find the probability that out of 60 trains, 38 or lesser trains arrive on time.

Now,

The proportion of the given sample, p = \frac{38}{60} = 0.634

Therefore, the probability is given by:

P(p\leq 0.634) = [\frac{p - P'}{\sqrt{\frac{P'q'}{n}}}]\leq [\frac{0.634 - 0.74}{\sqrt{\frac{0.74\times 0.26}{60}}}]

P(p\leq 0.634) = P[z\leq -1.87188]

P(p\leq 0.634) = P[z\leq -1.87] = 0.0298

Therefore, Probability of the 38 or lesser trains out of 60 trains to be on time is 0.0298 or 2.98 %

Thus the on-time rate of 74% is incorrect.

6 0
3 years ago
URGENT Match each ratio of the volumes of two solids to the pair of solids it represents.
Anarel [89]
1. cylinder to cone:
  (πr^2h)/((1/3)πr^2h) = 3:1

2. sphere to cylinder:
  ((4/3)πr^3)/(πr^2h) = 4r:3h

3. cone to sphere:
  ((1/3)πr^2h)/((4/3)πr^3) = h:4r

4. hemisphere to cylinder:
  half the ratio of sphere to cylinder = 2r:3h
4 0
3 years ago
Write your answer with no space and any fraction with “/“
nirvana33 [79]

Answer:

y+3=2(x-1)

Step-by-step explanation:

Point-slope form is y-y_1 = m (x-x_1). In order to write a linear equation using this form, the y_1, x_1 and m must be substituted by real numbers.

The m represents the slope of the equation. We know that the answer has to be parallel to the line y=2x-1. y=2x-1 is already in slope-intercept form, or y=mx+b, in which m represents the slope. We can see that the 2 is in place of that m, therefore 2 is the slope of y=2x-1. Lines that are parallel have the same slope, so we know that the slope of the new equation must be 2 as well.

The x_1 and y_1 represent the x and y values of one point that the line passes through. We know that the new equation must pass through the point (1, -3), so we'll substitute 1 in place of the x_1 and -3 in place of the y_1.

Substituting for those three values will give you an equation like this, therefore it is the answer:

y-(-3)= 2(x-(1))

y+3= 2(x-1)

4 0
3 years ago
SHOW WORK AND ANSWER ASAP
Paul [167]
3x8 is 24 plus 4 is 28

7x1 is 7 plus 2 is 9

9+28 is 37
6 0
3 years ago
What is a square root of (a-b)^2
Bess [88]
Hello,

\sqrt{(a-b)^2}=|a-b| \\ 
= a-b\  if\  a \ \textgreater\ b \\
=b-a\  if\  a\ \textless \ b
4 0
3 years ago
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