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4 years ago

List all the prime factors or 78

Mathematics

1 answer:

Alekssandra [29.7K]4 years ago

4 0

Answer:

Factors of 78: 1, 2, 3, 6, 13, 26, 39, 78. Prime factorization: 78 = 2 x 3 x 13.

Step-by-step explanation:

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For math test . let me know .

babunello [35]

Answer:

Step-by-step explanation:

Nadine got a mistake in step 4 because -19 when transferred to the other side that would become 19. Therefore, the result of the right side of the equation should be 40 (21 + 19).

4 0

4 years ago

Read 2 more answers

the length of a rectangle is 4 meters less than twice its width. The area of the rectangle is 70. Find the dimensions of the rec

Savatey [412]

Answer: The width is 7 meters. The length is 10 meters.

Step-by-step explanation: Area = Length × width

Length is 2w - 4

Substitute that value for length, then solve for w.

70 = w(2w - 4)

70 = 2w² - 4w reorganize to quadratic equation form

2w² - 4w -70 = 0 These are All even numbers; factor out 2 (divide all by 2)

w² - 2w - 35 = 0 factor this

(w - 7)(w + 5) set each factor = 0 and calculate the value of w.

w+5=0 w= -5 (disregard this one because dimensions of real rectangles can't be negative)

w - 7 = 0 w = 7 <u>The width is 7</u>

Substitute into the original expressions to get the value of Length.

2(7) -4 = L 14 - 4 = L The<u> Length is 10.</u>

Check by substituting into the original equation:

w × 2w -4 = 70

7 × 2(7) -4 = 70

7 × 10 = 70 TRUE!

6 0

3 years ago

What is the domain and range of the step function below?

Readme [11.4K]

Answer:

Option B is correct.

Step-by-step explanation:

Since, the given graph is of greatest integer function

And it is clear from the property of greatest integer function that range or value of y will always be an integer

given points in the graph are

(1,2),(4,5),(-2,-1) and (-5,-4)

Domain is the values x will take

And Range is the values of y

So, whatever value x will take due to greatest integer function it will convert to an integer

Example:

[0.5]=0

Domain will be all real numbers and range{...-4,-1,2,5....}

Hence, Option B is correct

7 0

3 years ago

Read 2 more answers

Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find th

Digiron [165]

Answer:

$P(X = 0) = 0.0263$

$P(X = 1) = 0.1407$

$P(X = 2) = 0.3012$

$P(X = 3) = 0.3224$

$P(X = 4) = 0.1725$

$P(X = 5) = 0.0369$

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 5, p = 0.517$

Distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.517)^{0}.(0.483)^{5} = 0.0263$

$P(X = 1) = C_{5,1}.(0.517)^{1}.(0.483)^{4} = 0.1407$

$P(X = 2) = C_{5,2}.(0.517)^{2}.(0.483)^{3} = 0.3012$

$P(X = 3) = C_{5,3}.(0.517)^{3}.(0.483)^{2} = 0.3224$

$P(X = 4) = C_{5,4}.(0.517)^{4}.(0.483)^{1} = 0.1725$

$P(X = 5) = C_{5,5}.(0.517)^{5}.(0.483)^{0} = 0.0369$

6 0

4 years ago

Is 16:14 in 64:60 eqiluvant

Elanso [62]

16: 14 - divide by 2

16/2= 8 , 14/2=7

64:60- divide by 4

64/4= 16 , 60/4= 15

Answer: 16:14 and 64:60 are not equivalent.

4 0

3 years ago