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djyliett [7]
3 years ago
5

Using the greatest common factor for the terms, how can you write 56 + 32 as a product?

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0
56 + 32 = (8 x 7) + (8 x 4) = 8(7 + 4) (Answer C)


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Suppose an astronaut can jump vertically with an initial velocity of 5 m/s. The time that it takes him to touch the ground is gi
Vitek1552 [10]

Answer:

t=1.020s

Step-by-step explanation:

Given Equation:

5t-0.5at^{2} =0

Actually the given equation is the 2nd equation of motion

i.e. S =V_{i} t+0.5at^{2}

where S=0 because the astronaut jumps on the earth

and initial velocity V_{i}=5

to find time t, put the given value of a=9.8m/s^{2} in the given equation, we get

5t-0.5(9.8)t^{2} =0\\t(5-4.9t)=0\\ \ dividing\ both\ sides\ by\ t\ we \ get\\ 5-4.9t=0\\4.9t=5\\t=\frac{5}{4.9}\\ t=1.020s

it will take t=1.020s to reach the ground if he jumps on the Earth

3 0
3 years ago
Pls answer question 6 and 7
ra1l [238]

Answer:

go to the website slader.com

Step-by-step explanation:

it has most textbooks on it and the answers to textbook questions

8 0
3 years ago
PROVE THESE TRIANGLES ARE CONGRUENT
jenyasd209 [6]

Answer:

These triangles cannot be proved congruent

Step-by-step explanation:

The theorems for congruence are  SSS SAS ASA AAS. Here, there is only one common side and one common angle marked, therefore you cannot prove congruency.

8 0
2 years ago
Read 2 more answers
It is estimated that 0.54 percent of the callers to the Customer Service department of Dell Inc. will receive a busy signal. Wha
stira [4]

Using the binomial distribution, it is found that there is a 0.8295 = 82.95% probability that at least 5 received a busy signal.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 0.54% of the calls receive a busy signal, hence  p = 0.0054.
  • A sample of 1300 callers is taken, hence n = 1300.

The probability that at least 5 received a busy signal is given by:

P(X \geq 5) = 1 - P(X < 5)

In which:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).

Then:

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

P(X = 0) = C_{1300,0}.(0.0054)^{0}.(0.9946)^{1300} = 0.0009

P(X = 1) = C_{1300,1}.(0.0054)^{1}.(0.9946)^{1299} = 0.0062

P(X = 2) = C_{1300,2}.(0.0054)^{2}.(0.9946)^{1298} = 0.0218

P(X = 3) = C_{1300,3}.(0.0054)^{3}.(0.9946)^{1297} = 0.0513

P(X = 4) = C_{1300,4}.(0.0054)^{4}.(0.9946)^{1296} = 0.0903

Then:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0009 + 0.0062 + 0.0218 + 0.0513 + 0.0903 = 0.1705.

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.1705 = 0.8295

0.8295 = 82.95% probability that at least 5 received a busy signal.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

6 0
2 years ago
Help please!<br><br> How do I graph f(x)=3/4x+2? What points do I plot?
mariarad [96]

(0, 2 ), (4,5)

to draw a graph of a straight line , we only require 2 points

select any 2 values for x, substitute them into the equation for the corresponding y- coordinates

x = 0 → y = 0+2 = 2 ⇒ (0, 2)

x = 4 → y = 3+2 = 5 ⇒ (4, 5)

Plot these 2 points and draw a straight line through them for graph


8 0
3 years ago
Read 2 more answers
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