The mean of 3, a+2, 8, 12, 2a-1 and 6 is 7. Find the value of a. its urgent plsss

Halfway through the season, a soccer player has made 15 penalty kicks in 19 attempts. Based on her performance to date, what i

stepladder [879]

Answer:

$\dfrac{15}{19}$

Step-by-step explanation:

The soccer player so far has made 15 penalty kicks in 19 attempts.

Therefore:

Total Number of trials =19

Number of Successes =15

Therefore, the relative frequency probability that she will make her next penalty kick is:

$=\dfrac{\text{Number of Successes}}{\text{Total Number of Trials}} \\=\dfrac{15}{19}$

7 0

3 years ago

Which function represents the area with respect to time?

zhuklara [117]

It’s C I think but I am not sure about it

8 0

3 years ago

Leon is using the recipe shown.

stira [4]

He will use 11 and half cups of olive oil to use with 1 teaspoon of cinnamon.

Step-by-step explanation:

Given,

Olive oil used in recipe = 23 cups

Cinnamon used in recipe = 2 teaspoons

Ratio of cinnamon to olive oil in recipe = 2:23

Cinnamon Leon has = 1 teaspoon

Let x be the olive oil.

Ratio of available cinnamon to olive oil = 1:x

Using proportion;

Ratio of cinnamon to olive oil in recipe :: Ratio of available cinnamon to olive oil

$2:23::1:x$

Product of extreme = Product of mean

$2*x=23*1\\2x=23$

Dividing both sides by 2;

$\frac{2x}{2}=\frac{23}{2}\\x=11.5$

11.5 can also be written as $11\frac{1}{2}$

He will use 11 and half cups of olive oil to use with 1 teaspoon of cinnamon.

Keywords: ratio, proportion

Learn more about ratios at:

#LearnwithBrainly

3 0

3 years ago

Hello! Verify the identity. Please show your work! Use trigonometric identities to verify each expression is equal.

RSB [31]

Answer:

See Below.

Step-by-step explanation:

We want to verify the identity:

$\displaystyle \csc^2 x -2\csc x \cot x +\cot ^2 x = \tan^2\left(\frac{x}{2}\right)$

Note that the left-hand side is a perfect square trinomial pattern. Namely:

$a^2-2ab+b^2=(a-b)^2$

If we let a = csc(x) and b = cot(x), we can factor it as such:

$\displaystyle (\csc x - \cot x)^2 = \tan^2\left(\frac{x}{2}\right)$

Let csc(x) = 1 / sin(x) and cot(x) = cos(x) / sin(x):

$\displaystyle \left(\frac{1}{\sin x}-\frac{\cos x }{\sin x}\right)^2=\tan^2\left(\frac{x}{2}\right)$

Combine fractions:

$\displaystyle \left(\frac{1-\cos x}{\sin x}\right)^2=\tan^2\left(\frac{x}{2}\right)$

Square (but do not simplify yet):

$\displaystyle \frac{(1-\cos x)^2}{\sin ^2x}=\tan^2\left(\frac{x}{2}\right)$

Now, we can make a substitution. Let u = x / 2. So, x = 2u. Substitute:

$\displaystyle \frac{(1-\cos 2u)^2}{\sin ^22u}=\tan^2u$

Recall that cos(2u) = 1 - sin²(u). Hence:

$\displaystyle \frac{(1-(1-2\sin^2u))^2}{\sin ^2 2u}=\tan^2u$

Simplify:

$\displaystyle \frac{4\sin^4 u}{\sin ^2 2u}=\tan^2 u$

Recall that sin(2u) = 2sin(u)cos(u). Hence:

$\displaystyle \frac{4\sin^4 u}{(2\sin u\cos u)^2}=\tan^2 u$

Square:

$\displaystyle \frac{4\sin^4 u}{4\sin^2 u\cos ^2u}=\tan^2 u$

Cancel:

$\displaystyle \frac{\sin ^2 u}{\cos ^2 u}=\tan ^2 u$

Since sin(u) / cos(u) = tan(u):

$\displaystyle \left(\frac{\sin u}{\cos u}\right)^2=\tan^2u=\tan^2u$

We can substitute u back for x / 2:

$\displaystyle \tan^2\left(\frac{x}{2}\right)= \tan^2\left(\frac{x}{2}\right)$

Hence proven.

3 0

3 years ago

Drag the coordinates to match the coordinates of each point on the left with the coordinates of its reflection across the x-axis

fredd [130]

Answer:

1. (-2,-7)

2. (3,-9)

3. (7,-2)

4.(-3,9)

Step-by-step explanation:

Since the reflection is across the x-axis, the y-coordinate will be flipped.

Example: (-7,4) would become (-7,-4)

HOWEVER, if the reflection is across the y-axis, the x coordinate will be flipped.

Example: (-7,4) would become (7,4)

6 0

3 years ago

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The mean of 3, a+2, 8, 12, 2a-1 and 6 is 7. Find the value of a. its urgent plsss​

The mean of 3, a+2, 8, 12, 2a-1 and 6 is 7. Find the value of a. its urgent plsss