Find the measure of angle 4 689 44 68 90 136

What is the value of f?

laiz [17]

Answer:

f(1/2) = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 8x - 6

f(1/2) is x = 1/2

Step 2: Evaluate

Substitute in x: f(1/2) = 8(1/2) - 6
Multiply: f(1/2) = 4 - 6
Subtract: f(1/2) = -2

5 0

2 years ago

Find the interquartile range (IQR) of the data in the dot plot below.

kolbaska11 [484]

Answer:

(IQR) interquartile range: 12 - 9 = 3

Step-by-step explanation:

Median: 10

Lower quartile: 9

Upper quartile: 12

Interquartile Range: 12 - 9 = 3

5 0

3 years ago

The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an

ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question:

$\mu = 20, \sigma = 2$

a)Less than 19.5 hours?

This is the pvalue of Z when X = 19.5. So

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

$Z = \frac{19.5 - 20}{2}$

$Z = -0.25$

$Z = -0.25$ has a pvalue of 0.4013.

40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b)Between 20 hours and 22 hours?

This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So

X = 22

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

$Z = \frac{22 - 20}{2}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413

X = 20

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

$Z = \frac{20 - 20}{2}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

4 0

2 years ago

The number of students who picked each subject is shown.

Naddik [55]

Answer: 90% of students did NOT choose history.

Step-by-step explanation:

Art - 32.5%

Spanish - 7.5%

ELA - 10%

Math - 15%

Science - 25%

When added altogether each subject equals 90%, leaving the other 10 percent history. 90% is our answer since that is the number of people that voted for subjects other than history.

Hope This Helped, Have A Great Day!

5 0

2 years ago

M angle 3= 31°. Find m angle 4 (complementary angle)

solniwko [45]

Hi, there.

________

$\boxed{\begin{minipage}{8cm} Complementary angles \\ Complementary angles are angles whose sum \\ is 90^\circ. \text{Using this info, let's consider this:} \\ \text{If an angle's measure is 31 degrees, what's} \\ \text{its \ complement?}\end{minipage}}$

$\text{Set up an equation, letting a be the unknown angle}$

$\bold{a+31=90}\\\text{Subtract 31 from both sides}\\\bold{a=59}$

Hope the answer - and explanation - made sense,

happy studying!!

6 0

1 year ago