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1 year ago

What is the probability that a number selected from the numbers 1 to 15 is a multiple of 4?

Mathematics

1 answer:

labwork [276]1 year ago

5 0

Answer:

1/5

Step-by-step explanation:

probability = favorable outcomes/total outcomes

4, 8, 12 are multiples of 4, so there are 3 favorable outcomes.

There are 15 total outcomes.

Make the fraction

3/15

reduce by 3

1/5

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If x represents any number in the first column witch expression can always be used to find the value of y in the second coloumn

olga2289 [7]

Set up an equation and solve, or find a common sequence.

We can set up an equation like so, using x = 1 as a base:

x(number) + (another number) = y

translate to:

1(x) + (number) = 5

The common difference is 2 for each y value, so let's use that as a multiplier:

1(2) + number = y
2 + x = 5
x = 3

So lets move up a step:
x = 2 and y = 7

We use 2 as our multiplier and 3 as our adder:
2(x) + 3 = y
2(2) + 3 = 7
4 + 3 = 7

Lets try one more case :
x = 4 and y = 11

2(4) + 3 = 11
8 + 3 = 11
11 = 11

6 0

3 years ago

Which expression is equivalent to the one below?

Citrus2011 [14]

Answer:

B. $5*\frac{1}{7}$

Step-by-step explanation:

5÷7 is also $\frac{5}{7}$ --that divided sign is what the fractional bar represents in a fraction.

now multiply $5*\frac{1}{7}=\frac{5}{1}*\frac{1}{7}=\frac{5*1}{1*7}=\frac{5}{7}$

both are the same result, so your answer is Choice B.

5 0

2 years ago

Can someone help me please? It’s like my 3rd time trying to get some answers for this question. Thanks. :)

mote1985 [20]

Answer:

both rates of change equal the slope of the line (3/4)

Step-by-step explanation:

Part a)

We calculate the rate of change using the formula:

$\frac{y_2-y_1}{x_2-x_1}$

for the first interval [0,6], we calculate the y-values at x=0 and x=6;

at x=0 : $y=\frac{3}{2} (0)+2=2$

at x=6 : $y=\frac{3}{2} (6)+2=11$

therefore, the rate of change in this interval is: $\frac{y_2-y_1}{x_2-x_1}=\frac{11-2}{6-0}=\frac{9}{6} =\frac{3}{2}$

For the second interval [-4,4], we calculate the y-values at x=-4 and x=4;

at x=-4 : $y=\frac{3}{2} (-4)+2=-4$

at x=4 : $y=\frac{3}{2} (4)+2=8$

therefore, the rate of change in this interval is: $\frac{y_2-y_1}{x_2-x_1}=\frac{8-(-4)}{4-(-4)}=\frac{12}{8} =\frac{3}{2}$

Part b):

Notice that both rates of change equal the value of the slope of the linear function (3/2)

4 0

2 years ago

54% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the

Liula [17]

Answer:

$P(5)=0.238$

$P(x\geq 6)=0.478$

$P(x$

Step-by-step explanation:

In this case we can calculate the probability using the binomial probability formula

$P(X=x)=\frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}$

Where p is the probability of obtaining a "favorable outcome " x is the number of desired "favorable outcome " and n is the number of times the experiment is repeated. In this case n = 10 and p = 0.54.

(a) exactly five

This is:

$x=5,\ n=10,\ p=0.54.$