Susie sent out party invitations to 8 people from each of her three activity clubs. How many people did she invite to her party?

Sin(A+B)/sin A cos B<br> = 1 + cot A tan B<br> how to verify the identity?

vlada-n [284]

Answer:

see explanation

Step-by-step explanation:

Using the identities

sin(A + B) = sinAcosB + cosAsinB

cotA = $\frac{cosA}{sinA}$ , tanA = $\frac{sinA}{cosA}$

Consider the left side

$\frac{sin(A+B)}{sinAcosB}$

= $\frac{sinAcosB+cosAsinB}{sinAcosB}$

= $\frac{sinAcosB}{sinAcosB}$ + $\frac{cosAsinB}{sinAcosB}$

= 1 + $\frac{cosA}{sinA}$ . $\frac{sinB}{cosB}$

= 1 + cotA tanB = right side , thus verified

6 0

3 years ago

How can we simplify radicals involving negative values?

RSB [31]

Answer:

using imaginary numbers

Step-by-step explanation:

4 0

3 years ago

The length of ac to the nearest tenth

AlexFokin [52]

The answer in 14.3

You use a proportion to compare AE with AD and AB with AC.

9/14 = 9.2/x
x=14.3
(14 is the length of AD)

8 0

3 years ago

Read 2 more answers

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 900

rosijanka [135]

Answer:

The 33 week gestation period baby has a zscore of -0.47.

The 41 week gestation period baby has a zscore of -0.94.

The 41 week gestation period baby weighs less relative to the gestation period.

Step-by-step explanation:

Normal model problems can be solved by the zscore formula.

On a normaly distributed set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a value X is given by:

$Z = \frac{X - \mu}{\sigma}$

The zscore represents how many standard deviations the value of X is above or below the mean $\mu$ . This means that the baby with the lowest Zscore is the one who weighs relatively less to the gestation period.

33 week gestation period baby:

Babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 900 grams, so $\mu = 2700, \sigma = 900$ .

A 33-week gestation period baby weighs 2275 grams. So $X = 2275$ .

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2275 - 2700}{900}$

$Z = -0.47$

41 week gestation period baby:

Babies born after a gestation period of 40 weeks have a mean weight of 3200 grams and a standard deviation of 450 grams, so $\mu = 3200, \sigma = 450$

A 41-week gestation period baby weighs 2775 grams, so $X = 2775$ .

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2775 - 3200}{450}$

$Z = -0.94$

The 41 week gestation period baby weighs less relative to the gestation period, since he has a lower zscore.

8 0

3 years ago

If the coefficient of determination is a positive value, then the regression equation must have a positive slope must have a neg

Soloha48 [4]

Answer: The regression equation could have a positive or a negative slope

Explanation:

The coefficient of determination is marked as r^2. This is always positive because squaring a negative leads to a positive. Knowing something like r^2 = 0.7 does not tell us whether r itself is positive or negative, so we don't know if the regression line slope is positive or negative. We would need more info.

6 0

3 years ago