Determine the values of A and B in each of the following

34kurt

Answer:

90° rotational symmetry about the poiy(-1,0)

5 0

3 years ago

The access code for a garage door consists of three digits. Each digit can be any number from 1 through 5, and each digit can b

Papessa [141]

Answer:

(a) 125

$(b) \dfrac{1}{125}$

$(c) \dfrac{124}{125}$

Step-by-step explanation:

We are given that access code consists of 3 digits.

Each digit can be any digit through 1 to 5 and can be repeated.

Now, this problem is equivalent to the problem that we have to find:

The number of 3 digit numbers that can be formed using the digits 1 to 5 with repetition allowed.

(a) We have 3 places here, unit's, ten's and hundred's places respectively and each of the 3 places have 5 possibilities (any digit allowed with repetition).

So, total number of access codes possible:

$5\times 5 \times 5 = 125$

(b) Suppose, an access code is randomly selected, what is the probability that it will be correct.

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, only 1 code is correct, so

Number of favorable cases = 1

Total number of cases = 125

So, required probability:

$P(E) = \dfrac{1}{125}$

(c) Probability of not selecting the correct access code on first time:

$P(\overline E) = 1-P(E)\\\Rightarrow P(\overline E) = 1-\dfrac{1}{125}\\\Rightarrow P(\overline E) = \dfrac{125-1}{125}\\\Rightarrow P(\overline E) = \dfrac{124}{125}$

So, the answers are:

(a) 125

$(b) \dfrac{1}{125}$

$(c) \dfrac{124}{125}$

7 0

3 years ago

Several items in a store are on sale. Complete the table with the correct prices.

jarptica [38.1K]

Answer:

1. $48

2.$49

3.$91

4.$12

Step-by-step explanation:

For 1 and 2

To find the sale price, you find out how much is the percentage of the original price. Example :

(20/100)/60 = $12

So $12 is the discount

thus sales price will be $60-$12=$48

Same thing for no.2, find the amount of the percentage and subtract it from the original price

For 3 and 4

To find the original price

1. Subtract the percentage from 100%

2. Multiply the sales price by 100

3. Divide the ans from no.2 by ans from no.1

Example :

100%-40%=60%

$54.60×100=5460

$5460÷60%= $91 (original price)

Same thing for no.4

Hope this helps haha

5 0

3 years ago

if 1/3 of a can of frosting covers 1/6 of the top of the birthday cake how much frosting is needed to cover the entire top of th

ra1l [238]

2 cans
Hope it Helped!!!

6 0

3 years ago

Read 2 more answers

8 less than the product of 9 and a number is 15

Shkiper50 [21]

8-9n=15 I believe
At least I hope

4 0

3 years ago

Read 2 more answers