1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
maksim [4K]
3 years ago
5

1) State whether the following pairs of fractions are equivalent or not :

Mathematics
1 answer:
Marta_Voda [28]3 years ago
4 0

Answer:

1)

2/5 ≠ 10/15= 2/3 not equivalent

3/7 ≠ 6/7  not equivalent

9/7 = 1 2/7 = 9/7 equivalent

2)

a) 50/75 = 25*2/25*3= 2/3

b) 65/105 = 5*13/5*21= 13/21

c) 18/81 ​= 9*2/9*9= 2/9

You might be interested in
Paleomagnetic studies of Canadian volcanic rock known as the Carmacks Group have recently been completed. The studies revealed t
Naya [18.7K]

Answer:

a) 0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers

b) 0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers

c) 1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Standard deviation of 500 kilometers

This means that \sigma = 500

a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?

Mean of 1500 km means that \mu = 500

The probability is the pvalue of Z when X = 500. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{500 - 1500}{500}

Z = -2

Z = -2 has a pvalue of 0.0228

0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers.

b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?

Now \mu = 1200

Z = \frac{X - \mu}{\sigma}

Z = \frac{500 - 1200}{500}

Z = -1.4

Z = -1.4 has a pvalue of 0.0808

0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers.

c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?

1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.

3 0
2 years ago
How many times does the digit 7 appear among the terms of the sequence of consecutive integer numbers 7, 8, 9, ...., 777?
Dahasolnce [82]

Answer:

234 times

Step-by-step explanation:

<u>Number of times the number 7 appears in a hundred</u>

7 as units digit (07-17-27 ..... 97): 10 times

7 as tens digit (70-71-72..... 79): 10 times

20 times the digit 7 appears in first one hundred (0-100)

Let's calculate how many times 7 would be as units or tens in 7 hundreds

20X7 = 140 times digit 7 appears until number 699

<u>Now, from 700 to 777</u>

7 as hundreds digit (700-701-702 .... 777): 78 times

7 as tens digit (770-771-772 .... 777): 8 times

7 as units digit (707-717-727....777): 8 times

78 + 8 + 8 = 94 times the digit 7 appears in the range 700 - 777. Plus 140 times

140 + 94 = 234 times

4 0
3 years ago
Read 2 more answers
$850 flat fee for 31 to 50 guests
AlladinOne [14]

Answer:

gdhcskjsopqdw0fi9sdahjqa

Step-by-step explanation:

you stupio person you told on me your deab

4 0
3 years ago
LAST OF MY GEOMETRY PLZ HELP
makvit [3.9K]

Answer:

Step-by-step explanation:

14) 2x - 10 = 80       {alternate interior angles are equal}

     2x = 80 + 10

      2x = 90

        x = 90/2

       x = 45°

15) 3x + 120 = 180    { co interior angles are supplementary}

     3x = 180 - 120

      3x = 60

        x = 60/3

        x = 20°

16) 3x + 15 = 135     {corresponding angles are equal}

      3x = 165 - 15

       3x = 150

          x = 150/3

          x = 50°

4 0
3 years ago
2) The sides of a triangle in cm, are , x , 2x - 5 and 2x - 3. The perimeter of the triangle is 32 cm. Write down an equation fo
grandymaker [24]

Answer:A=X x=8

B=x X=9

C=x X=10

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift. What is
    11·1 answer
  • Line p passes through (8, -6) and is perpendicular to the line 2x + y = -7. The slope of line p is . The equation of line p is y
    12·1 answer
  • The NFL regulation extra point is kicked 12 yards from the goal how many inches away from the goal is the extra point kick
    9·2 answers
  • How can I find the missing value
    9·1 answer
  • What is the value of X
    15·2 answers
  • Evaluate |5 - 15|.<br><br> -10<br> 10<br> 20<br> -20
    13·2 answers
  • This is the last question please help
    10·1 answer
  • The sum of two integers is 9. the product of the integers is 14. what are the integers?
    7·1 answer
  • Given a slope of -1 and the point (-2, -2), find the Y-intercept of the line. <br>​
    6·1 answer
  • Ummmmmmmmmm yeah helppppppppppp
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!