1. Which color combination is the
mode for the students' votes?
A Blue/Gold
B Green/Silver
C Blue/White
D Black/Gold
For what values of b will F(x) = logbx be a decreasing function?
Answer:
It is a decreasing function for 0 < b < 1.
Step-by-step explanation:
Logarithm function:
The logarithm function is given by:
[tex]F(x) = \log_{b}{(x)}[/tex]
The base b determines if the function increases or decreases.
For 0 < b < 1, the function decreases.
For b > 1, the function increases.
In this question:
By the definition above, it is a decreasing function for 0 < b < 1.
Let A and B be two events. Suppose the probabilities P(A) = 0.5, P(
A and B) = 0.2
and P((AUB)') = 0.4. What is P(B)?
Answer:
[tex]P(B) = 0.3[/tex]
Step-by-step explanation:
We use the following formula for Venn probabilities to solve this question.
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
P((AUB)') = 0.4
This means that:
[tex]P(A \cup B) = 1 - P(A \cup B)' = 1 - 0.4 = 0.6[/tex]
We also have that:
[tex]P(A) = 0.5, P(A \cap B) = 0.2[/tex]
What is P(B)?
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
[tex]0.6 = 0.5 + P(B) - 0.2[/tex]
[tex]0.3 + P(B) = 0.6[/tex]
[tex]P(B) = 0.3[/tex]
Can someone help with this please
Select all of the following that can be a counterexample for the statement below.
If x is an integer, then x +2 >7.
-2
3
6
8
Answer:
-2, 3
Step-by-step explanation:
We are given the following inequality:
[tex]x + 2 > 7[/tex]
Solving it, we have that its solution is:
[tex]x > 7 - 2[/tex]
[tex]x > 5[/tex]
So values of x of 5 and lower are counterexamples to this, which means that -2 and 3 are correct options to this question.
Nancy and brad each found an old Singh at a yard sale . Which sing has a greater area which Nancy has the area of 2in , 4 in , 12 in , 8 in and brad has 6 in and 22 in
Answer:
SINGH???
Step-by-step explanation:
A roller coaster is being designed that will accommodate 60 riders. The maximum weight the coaster can hold safely is 12,000 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 189 pounds and standard deviation 63 pounds, and the weights of adult U.S. women have mean 165 pounds and standard deviation 76 pounds.
a. If 60 people are riding the coaster, and their total weight is 12,000 pounds, what is their average weight?
b. If a random sample of 60 adult men ride the coaster, what is the probability that the maximum safe weight will be exceeded?
c. If a random sample of 60 adult women ride the coaster, what is the probability that the maximum safe weight will be exceeded?
Answer:
a. Their average weight is of 200 pounds.
b. 0.0875 = 8.75% probability that the maximum safe weight will be exceeded
c. 0.0002 = 0.02% probability that the maximum safe weight will be exceeded
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
a. If 60 people are riding the coaster, and their total weight is 12,000 pounds, what is their average weight?
12000/60 = 200 pounds
Their average weight is of 200 pounds.
b. If a random sample of 60 adult men ride the coaster, what is the probability that the maximum safe weight will be exceeded?
Men means that [tex]\mu = 189, \sigma = 63[/tex].
Sample of 60 means that [tex]n = 60, s = \frac{63}{\sqrt{60}} = 8.13[/tex]
Safe weight will be exceeded if the sample mean is above 200 pounds, which has probability of 1 subtracted by the pvalue of Z when X = 200. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{200 - 189}{8.13}[/tex]
[tex]Z = 1.35[/tex]
[tex]Z = 1.35[/tex] has a pvalue of 0.9115
1 - 0.9115 = 0.0875
0.0875 = 8.75% probability that the maximum safe weight will be exceeded.
c. If a random sample of 60 adult women ride the coaster, what is the probability that the maximum safe weight will be exceeded?
Women means that [tex]\mu = 165, \sigma = 76[/tex]
Sample of 60 means that [tex]n = 60, s = \frac{76}{\sqrt{60}} = 9.81[/tex]
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{200 - 165}{9.81}[/tex]
[tex]Z = 3.57[/tex]
[tex]Z = 3.57[/tex] has a pvalue of 0.9998
1 - 0.9998 = 0.0002
0.0002 = 0.02% probability that the maximum safe weight will be exceeded
Find the perimeter and area of this composite figure
Answer:
34
Step-by-step explanation:
Hope helps :)
Answer:
Hi! Your answer is 34! :D
Step-by-step explanation:
The lovely human who answered above me is indeed correct.
I hope you have an amazing day! Please give brainliest!
Can u guys help rq with this question
Answer:
C and B
Step-by-step explanation:
Parallel is when two lines are exactly parallel from eachother which means they both have to go in the same direction. It has to be two lines that dont meet up with eachother when you continue the lines.
Pls Help! Which of the following equations represents a line that is parallel to the line
y = - x – 16.
A.) 10y + 20 = -5x
B.) -4x + 2y = 16
C.) y + 2x = 8
D.) 3y = 4x + 6
Please do not put a link or i will report you!
Answer:
B is the correct answer
Step-by-step explanation:
-4x+ 2 y= 16
Convert 124.042 to Base 10
Answer:
dfsdfsdfsdfsdfsdf
Step-by-step explanation:
Express the quantity "1/3 revolutions per minute" in radians per second. Write your
answers in terms of n
A. n/45 rad/sec
B. n/120 rad/sec
C. n/90 rad/sec.
D. n/60 rad/sec
Answer:
[tex]\huge\blue{\mid{\fbox{\tt{ANSWER}}\mid}}[/tex]
C. n/90 rad/sec.
Please help and explain how you got the answer
Answer: 30°
Step-by-step explanation:
we have to find the angle adjacent with the right angle. For this we use the (-).
At this point, I am guessing you know how to use SOH-CAH-TOA, for this one we use SOH so sin. If you have a calculator set it on degree mode, then plug it in as sin⁻₁(), we put it like that because the missing angle has the given number opposite and the hypotenuse. It solves it and now we get 30 for the answer. I dont know if that made sense, tell me if it didnt so I can explain it better.
pls help me
!!!!!!!!!!!!!!!!!!!!
its 50.3.2 tags: c c c cc cc c c c c ar c free car no yes show two plus pwe
Select the
outliar i the data set 1,64,66,68,69,70,78,79
Answer:
1 is the out liar
Step-by-step explanation:
This is because there is a huge gap between 1 and 64. The rest of the numbers are in a cluster.
What is the slope of the line 18x + 25y = 5?
In the image above x=11 cm. Find the surface area of the figure.
Answer:
726
Step-by-step explanation:
HELP MEEEEEEE PLEASE
Answer:
3 option
Step-by-step explanation:
Answer:
2s
Step-by-step explanation:
Twice means multiplicaiton of 2
So the answer is 2s
I need help ASAP 30 points
Volume = length x width x height
Volume = 1.4 x 1.3 x 3.5 = 6.37 cubic cm
The circumference of a circle is 119.32 in what is the diameter of the circle?
Answer:
38
Step-by-step explanation:
119.32/3.14 since 3.14 is pi and c=pi*d
Answer:
d≈37.98
Step-by-step explanation:
C=2πr
d=2r
Solving for d
d=C
π=119.32
π≈37.98074
please help.. all my points are gone and I need this asap
NO LINKS
Answer:
Step-by-step explanation:
A machine in a candy factory produces 5 and 1/2 batches of milk balls every 3/4 hour. Which of the following is the unit rate for producing the milk balls, in batches per hour?
a
4 and 1/8 : 1
b
5 and 3/4 : 1
c
6 and 1/4 : 1
d
7 and 1/3 : 1
What is the first step to figure out the solutions for x in the following equation?
|x - 3| +2=6
3. A telephone calling center performs two types of solicitations: (1) donations and (2) sales. The center wants to determine how much time on average a caller spends on each type of solicitation. The issue is complicated by the fact that some calls get busy signals, some go unanswered, and some last for less than one minute, which is interpreted to mean that the recipient is not interested or
Answer:
hang ups the receiver
Step-by-step explanation:
In this case, there is a difficulty for the call center to determine the average time that each caller spends on each type of request, since there is also the possibility that the recipient will not be interested in the call or hang up when receiving such a call. Therefore, in order to calculate this average in a more real way, the company must statistically monitor this data in relation to each hour of work and how many situations occurred in that hour, how many calls received were answered, how many received a busy signal, how many are not answered and how many calls last less than a minute if the recipient is not interested or hangs up.
Through this data, the company is able to monitor the calls and define telephone service strategies that can retain the customer more if the calls in less than a minute exceed conventional calls.
Samantha paid $4.16 for a sandwich, $1.50 for a bag of potato chips, and $1.19 for a can of soda. How much change will she receive if she pays with a $10 bill?
Answer:
$3.15
Step-by-step explanation:
$4.16+$1.50+$1.19=$6.85
$10.00-$6.85=$3.15
(Sorry if it's wrong.)
Which expression is equivalent to 3/32x^8y^10
Answer:
(9-8) + 8 = 9
Step-by-step explanation:
Answer: Third option
Step-by-step explanation: doing a point giveaway stay tuned!
what would of been the volume of the prism in this question?
Answer:
120 cm²
Step-by-step explanation:
Volume = length x wight x height
Volume = 6 x 4 x 5
Volume = 120 cm²
Round 569.903507815 to the nearest whole number?
Answer:
if you round it to a whole number... it should be 570
Step-by-step explanation:
just round the tenth place
Find the equation of the line. Use exact numbers. y= ( )x + ( )
Answer:
y=-2x+5
Step-by-step explanation:
Use the equation y=mx+b
We can find the b(y-intercept) by looking at the graph
The graph crosses the y-axis at (0,5)
We can look at the slope at the graph. We can see its down 4 over 2 so the slope is -2.
Plug that into the equation y=mx+b
y=-2x+5
For the function graphed above the end behavior is:
Answer:
as w → -∞, q(w)→-∞
as w → ∞, q(w)→∞
Step-by-step explanation:
The behaviour tells us how changes y as x changes.
In the left side (as w decreases) we can see that y goes down, then we can see that as w goes to negative infinity, q(w) also goes to negative infinity.
Then we can write:
as w → -∞, q(w)→-∞
In the right side (so when w increases) we can see that q(w) increases, then with the same reasoning as above we have:
as w → ∞, q(w)→∞
Notice that in both cases we only care for the end behavior, and these changes in curvature do not really matter for this kind of analysis.