What is the domain of y = -2x^(2)+ 8x

Approximately how many degrees are in the measure of an interior angle of a regular seven side polygon

larisa [96]

Answer:

72

Step-by-step explanation:

360 ÷ 5, because all shapes angles add up to 360. and a polygon has 5 sides

8 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

At a pizza shop, you can choose thick or thin crust, red or white sauce, and toppings of pepperoni, cheese, and onion. How many

lozanna [386]

Answer:

72

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

I need help please <br>

Triss [41]

She paid $3.28 per gallon.

24.60 divided by 7.5 equals 3.28.

8 0

2 years ago

Which relationship in the triangle must be true?

Paul [167]

We'll assume this is an arbitrary triangle ABC.

A) No, the sines of two different angles can be whatever they want

B) sin(B)=cos(90-B)

Yes, that's always true. The "co" in cosine means "complementary" as in the complementary angle, which adds to 90. So the sine of an angle is the cosine of the complementary angle.

C) No, the correct identity is sin(180-B)=sin B. Supplementary angles share the same sine.

D) Just like A, different triangle angles often have different cosines.

Answer: Choice B

7 0

3 years ago