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2 years ago

What is the length of segment AB?

Mathematics

1 answer:

olasank [31]2 years ago

7 0

Answer:

The answer is 6.403

Step-by-step explanation:

Using the pythagorean theorem, a^2+b^2=c^2, we can plug 4 units into a, and 5 units into b. Plugging these into the formula results in 4^2 + 5^2 = c^2. Simplifying, we get 16 + 25 = c^2. Simplifying even more, we get 41 = c^2. Using a calculator to get the square root of both sides results in c = 6.40312424.

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Which of the following functions is equivalent to the function below? Select two that apply.

Aliun [14]

Can sum1 answer this question cause I also need help on this

7 0

3 years ago

Students found that a box with sides 4cm, 4cm, and 5 cm held 192 Skittles.

Tpy6a [65]

Answer:

Volume is 80 cc

Ratio is 23 skittles per 20 cubic centimeter

Volume of a skittle is .416 cubic centimeters per skittle

Step-by-step explanation:

Volume = l*w*h = 4*4*5 = 80 cubic centimeters

192 skittles / 80 cubic centimeters is the ratio. You have to simplify it though.

192/80=46/40 23 skittles per 20 cubic centimeters

The volume of a skittle is 80 cubic centimeters/192 skittles = .416 cm^3/skittle

7 0

2 years ago

A certain restaurant always overbooks. If possible. At 7:00 pm the restaurant can seat 50 parties, but takes reservations for 53

oee [108]

Answer:

The probability that the restaurant can accommodate all the customers who do show up is 0.3564.

Step-by-step explanation:

The information provided are:

At 7:00 pm the restaurant can seat 50 parties, but takes reservations for 53.
If the probability of a party not showing up is 0.04.
Assuming independence.

Let X denote the number of parties that showed up.

The random variable X follows a Binomial distribution with parameters n = 53 and p = 0.96.

As there are only 50 sets available, the restaurant can accommodate all the customers who do show up if and only if 50 or less customers showed up.

Compute the probability that the restaurant can accommodate all the customers who do show up as follows:

$P(X\leq 50)=1-P(X>50)\\=1-P(X=51)-P(X=52)-P(X=53)\\=1-[{53\choose 51}(0.96)^{51}(0.04)^{53-51}]-[{53\choose 52}(0.96)^{52}(0.04)^{53-52}]\\-[{53\choose 53}(0.96)^{53}(0.04)^{53-53}]\\=1-0.27492-0.25377-0.11491\\=0.3564$

Thus, the probability that the restaurant can accommodate all the customers who do show up is 0.3564.

7 0

3 years ago

Figure out the pattern, fill in the blank

zmey [24]

Answer:

384

Step-by-step explanation:

The pattern is: the sum of the multiplication of the 2 numbers underneath the blank.

48 * 8 = 384

Hope this helps! Please tell me if I did something wrong, thanks!

6 0

3 years ago

A recipe calls for 2 tsp of butter. Melinda wants to make 40% more servings than the recipe makes.

olga_2 [115]

Given:
recipe: 2 tsp of butter
Melinda wants to make 40% more servings than the recipe.

2 tsp is equal to 100%
additional of 40% makes it 100% + 40% = 140%

140% * 2 tsp = 2.8 tsp.

The expression that shows the number of teaspoons needed is:
D. 1.4 x 2

3 0

3 years ago