Which equation represents the graph below?

How would you represent the expression 36 – 3(4) on the number line shown?

zaharov [31]

Answer:

D. Begin at 36 and move four units to the left three times

Step-by-step explanation:

The given expression is 36 - 3(4)

It means "it starts with 36 less 3 times 4."

Here "less" means we have to move to the left

Therefore, the answer is "D. Begin at 36 and move four units to the left three times"

Thank you.

5 0

3 years ago

Read 2 more answers

Suppose the probability that a softball player gets a hit in any single at-bat is 0.300. Assuming that her chance of getting a h

Ksivusya [100]

Answer:

$P(X=4)=(1-0.3)^{4-1} 0.3 = 0.103$

The probability that she will not get a hit until her fourth time at bat in a game is 0.103

Step-by-step explanation:

Previous concepts

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

$P(X=x)=(1-p)^{x-1} p$

Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

$X\sim Geo (1-p)$

Solution to the problem

For this case we want this probability

$P(X=4)$

And using the probability mass function we got:

$P(X=4)=(1-0.3)^{4-1} 0.3 = 0.103$

The probability that she will not get a hit until her fourth time at bat in a game is 0.103

4 0

3 years ago

Can someone help me

worty [1.4K]

Answer:

B = 129

Step-by-step explanation:

Opposite angles of a parallelogram are equal (or congruent)

A and C are both 51.

All angles in a parallelogram equal 360

Take both the known angles and substract from 360, than divide by 2.

B = (360 - 51 - 51)/2

B = 129

7 0

3 years ago

A small combination lock on a suitcase has 4 wheels, each labeled with the 10 digits 0 to 9. how many 4 digit combinations are

tamaranim1 [39]

This is the easiest way to solve this problem:

Imagine this represents how many combinations you can have for each of the 4 wheels (each blank spot for one wheel): __ __ __ __

For the first situation it says how many combos can we make if no digits are repeated.
We have 10 digits to use for the first wheel so put a 10 in the first slot
10 __ __ __
Since no digit can be repeated we only have 9 options for the second slot
10 9_ __ __
Same for the third slot, so only 8 options
10 9 8 __
4th can't be repeated so only 7 options left
10 9 8 7

Multiply the four numbers together: 10*9*8*7 = 5040 combinations

For the next two do the same process as the one above.

If digits can be repeated? You have ten options for every wheel so it would look like this: 10 10 10 10

10*10*10*10 = 10,000 combinations

If successive digits bust be different?
We have 10 for the first wheel, but second wheel only has 9 options because 2nd number can't be same as first. The third and fourth wheels also has 9 options for the same reason.

10 9 9 9 

10*9*9*9 = 7290 combinations

8 0

2 years ago

A lock has two buttons: a "0" button and a "1" button.To open a door you need to push the buttons according to a preset 8-bit se

ratelena [41]

Answer:

Step-by-step explanation:

The problem relates to filling 8 vacant positions by either 0 or 1

each position can be filled by 2 ways so no of permutation

= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

= 256

b )

Probability of opening of lock in first arbitrary attempt

= 1 / 256

c ) If first fails , there are remaining 255 permutations , so

probability of opening the lock in second arbitrary attempt

= 1 / 255 .

7 0

3 years ago