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3 years ago

How do you simplify this?

Mathematics

1 answer:

lions [1.4K]3 years ago

8 0

Answer:

sinA(cosA+sinA)*cosA

Step-by-step explanation:

(sinA(2cosA+sinA-cosA))/secA

sinA(cosA+sinA)/secA

sinA(cosA+sinA)*cosA

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If a normally distributed data set has a mean of81 and a standard deviation of 6, which of thefollowing represents approximately

Minchanka [31]

Answer:

95% of the data is represented as 69 to 93 (option G)

Explanation:

Given:

mean of data = 81

standard deviation = 6

To find:

The option that represents 95% of the data

To determine the right option, we will apply the empirical rule (68-95-99.7%):

68% of the data will fall within 1 standard deviation

95% of the data will fall within 2 standard deviation

99.5% of the data will fall within 3 standard deviation

$\begin{gathered} 2\text{ standard deviation is represented as:} \\ \mu\text{ }\pm\text{ 2\sigma} \\ where\text{ \mu = mean, \sigma = standard deviation} \end{gathered}$

substitute the values:

$\begin{gathered} μ\pm2σ\text{ = 81 }\pm\text{ 2\lparen6\rparen} \\ =\text{ 81 }\pm\text{ 12} \\ 81\text{ }\pm\text{ 12 means 81 - 12 , 81 + 12} \\ =\text{ 69, 93} \\ This\text{ means 95\% of the data is represented from 69 to 93 \lparen option G\rparen} \end{gathered}$

5 0

1 year ago

Jacob the dog eats dry food that contains 324kcal/cup. Jacob eats 3.5 cups a day. The food contains 3.6 g of fat in 100 kcals of

PtichkaEL [24]

Answer:

His daily fat intake is 40.824g.

His daily Vitamin D intake is 290.304 IU.

Step-by-step explanation:

The first step to solve this problem is finding the daily kcal intake of the dogs.

Each cup has 324 kcal, and he eats 3.5cups a day. So:

1 cup - 324 kcals

3.5 cups - x kcals

$x = 324*3.5$

$x = 1134$ kcals.

His daily intake is of 1134 kcals.

The food contains 3.6 g of fat in 100 kcals of energy. what is his daily fat intake?

There are 3.6g of fat in 100 kcals of energy. How many g of fat are there in 1134 kcals?

3.6g - 100 kcals

xg - 1134 kcal

$100x = 1134*3.6$

$x = \frac{1134*3.6}{100}$

$x = 11.34*3.6$

$x = 40.824$ g

His daily fat intake is 40.824g.

The food contains 25.6 IU of Vitamin D3 in 100 kcals of energy. what is his daily Vitamin D inake?

Similar logic as above.

25.6IU - 100 kcals

x IU - 1134 kcal

$100x = 1134*25.6$

$x = \frac{1134*25.6}{100}$

$x = 11.34*25.6$

$x = 290.304$ IU

His daily Vitamin D intake is 290.304 IU.

7 0

3 years ago

During a recent blood drive, 18 donors had type o blood. This was 45% of the total number

Lorico [155]

40 people got treated this day, just a guess but it works yk

6 0

3 years ago

Gretchen has eight socks, two of each color: magenta, cyan, black, and white. she randomly draws four socks. what is the probabi

Svetllana [295]

Begin by computing the number of all the possibilities:
It is given by the following formula: $C_8^4=\frac{8!}{4!(8-4)!}= \frac{8\times7\times6\times5}{4\times3\times2}=70$
Computing the number of favorable cases:
Exactly one pair of socks with the same color means either one magenta pair,
or one cyan pair, or one black pair or one white pair:
Number of possibilities with one magenta pair means"a magenta pair plus two socks with different colors from three possibilities" means 3 possibilities.
Same computation for the other colors.
Adding we get: $3+3+3+3=12\text{ possibilities }$
By definition, the probability of an event is the number of favorable cases over the number of possible cases:
$\frac{12}{70}= \frac{6}{35}$

The probability is $\frac{6}{35}$

3 0

4 years ago

https://lh5.googleusercontent.com/IDO6WqjkvxWIGc9p2e16rebEccq4cDRqA5qfNh3vnrby_VHQIAfCDUJ_xR4MGwzJYlcbifs1fua-bWQ9GnlGL9f7WeIw1H

SVEN [57.7K]

this link doesn't work. what is the question?

8 0

3 years ago