All categories

3 years ago

The graph of the function b is shown below. if b(x)=-1, than what is x?

Mathematics

1 answer:

Readme [11.4K]3 years ago

8 0

Answer:

$x = 2$

Step-by-step explanation:

Given

$b(x) = -1$

See attachment for graph

Required

Find x

To do this, we simply read the coordinates of the attached graph.

When $b(x) = -1$

$x = 2$

i.e.

$(x,b(x)) = (2,-1)$

You might be interested in

Explain how you can find the number of feet in 40 yards

julia-pushkina [17]

Basically 3 feet are in a yard and so you have to multiply X amount of yards by 3 to get feet and in this case you will get 120 as your Answer!<span />

5 0

3 years ago

A line for tickets to a Broadway show had a mean waiting time of 20 minutes with a standard deviation of 5 minutes.

andrezito [222]

Answer:

5.48% of the people in line waited for more than 28 minutes

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean waiting time of 20 minutes with a standard deviation of 5 minutes.

This means that $\mu = 20, \sigma = 5$

What percentage of the people in line waited for more than 28 minutes?

The proportion is 1 subtracted by the p-value of Z when X = 28. So

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

$Z = \frac{28 - 20}{5}$

$Z = 1.6$

$Z = 1.6$ has a p-value of 0.9452.

1 - 0.9452 = 0.0548.

As a percentage:

0.0548*100% = 5.48%

5.48% of the people in line waited for more than 28 minutes

6 0

2 years ago

Sin2x-sin2xcos2x=sin4x

yaroslaw [1]

It looks like the given equation is

sin(2x) - sin(2x) cos(2x) = sin(4x)

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

which lets us rewrite the equation as

sin(2x) - sin(2x) cos(2x) = 2 sin(2x) cos(2x)

Move everything over to one side and factorize:

sin(2x) - sin(2x) cos(2x) - 2 sin(2x) cos(2x) = 0

sin(2x) - 3 sin(2x) cos(2x) = 0

sin(2x) (1 - 3 cos(2x)) = 0

Then we have two families of solutions,

sin(2x) = 0 or 1 - 3 cos(2x) = 0

sin(2x) = 0 or cos(2x) = 1/3

[2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ]

… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]

(where n is any integer)

[2x = 2nπ or 2x = π + 2nπ]

… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]

[x = nπ or x = π/2 + nπ]

… … … or [x = 1/2 arccos(1/3) + nπ or x = -1/2 arccos(1/3) + nπ]

7 0

2 years ago

Victor spend a total of 33 picture and text messages which cost 8.30.if text message rate is .18 per message and the picture mes

malfutka [58]

Ok so

t=number of text messsages
p=number of picture messages

total number is 33
t+p=33

if text is 0.18 per pic and picture is 0.45 per text
total cost is 8.3
0.18t+0.45p=8.3
times 100 both sides for ease
18t+45p=830

we now have 2 equations
t+p=33
18t+45p=830

multiply first equation by -18 and add to second equation

18t+45p=830
<span>-18t-18p=-594 +</span>
0t+27p=236

27p=236
divide both sides by 27
p=8.740740740740744
this is impossible becasue you can't send 0.740740740740744 of a message so you did a mistype somewhere

7 0

3 years ago

In European roulette, the wheel is divided into 37 compartments numbered 1 through 36 and 0. (In American roulette there are 38

earnstyle [38]

Answer:

The expectation is -$0.189.

Step-by-step explanation:

Consider the provided information.

In European roulette, the wheel is divided into 37 compartments numbered 1 through 36 and 0.

One-half of the numbers 1 through 36 are red, the other half are black, and the number 0 is green.

We need to find the expected value of the winnings on a $7 bet placed on black in European roulette.

Here the half of 36 is 18.