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3 years ago

PLEASE HELO ASAP WILL MARK BRAINLIEST

Mathematics

1 answer:

ss7ja [257]3 years ago

6 0

A.) 1/2

B.) 3

For the first one, just plug the value of x (4) everywhere you see x in the formula.

For the second one, place 1 wherever you see f(x)

Hope this helps

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Evaluate: (ƒ − g)(−2)

klemol [59]

From the graph,

f(-2) = 0

and, g(-2) = 0

(ƒ − g)(−2)= f(-2)-g(-2) = 0

OPTION B is the correct answer

7 0

3 years ago

For a circle of radius 5 feet, find the arc length s subtended by a central angle of 42 degress

MrMuchimi

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta r\pi }{180}\quad 
\begin{cases}
r=radius\\
\theta = angle~in\\
\qquad degrees\\
------\\
r=5\\
\theta = 42
\end{cases}\implies s=\cfrac{42\cdot 5\cdot \pi }{180}$

4 0

4 years ago

Read 2 more answers

Please help on this pythagorean question, find x.

svp [43]

Answer:

x = 4

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve for x

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(x + 3)² + (4(x + 2))² = 25² ← expand parenthesis on left side

x² + 6x + 9 + 16(x+ 2)² = 625

x² + 6x + 9 + 16(x² + 4x + 4) = 625

x² + 6x + 9 + 16x² + 64x + 64 = 625 ← simplify left side

17x² + 70x + 73 = 625 ( subtract 625 from both sides )

17x² + 70x - 552 = 0 ← in standard form

with a = 17, b = 70, c = - 552

Using the quadratic formula to solve for x

x = ( - 70 ± $\sqrt{70^2-(4(17)(-552)}$ ) / 34

= ( - 70 ± $\sqrt{4900+37536}$ ) / 34

= - 70 ± $\sqrt{42436}$ ) / 34

= - 70 ± 206 ) / 34

x = $\frac{-70-206}{34}$ = - 8.1176....

or x = $\frac{-70+206}{34}$ = 4

However, x > 0 ⇒ x = 4

Hence

x + 3 = 4 + 3 = 7 and

4(4 + 2) = 24

The triangle is a 7- 24- 25 right triangle

7 0

3 years ago

One serving of yogurt has 95 calories.

fiasKO [112]

Answer:

About 300 calories

The drawing will help

7 0

3 years ago

The mean weight of an adult is 69 kilograms with a variance of 121. If 31 adults are randomly selected, what is the probability

amid [387]

Answer:

0.2236 = 22.36% probability that the sample mean would be greater than 70.5 kilograms.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Also, important to remember that the standard deviation is the square root of the variance.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$