Answer:
The first table is correct
Step-by-step explanation:
x=Yellow Prob
0 .5625
1 .375
2 .0625
The attached document shows a tree diagram with all 16 outcomes. Each outcome has probability 1/16.
The numbers at the right show the numbe of yellows for each outcome. There are 9 outcomes with 0 yellow (prob = 9/16).
There are 6 outcomes with 1 yellow (prob = 6/16)
There is 1 outcome with 2 yellow (prob = 1/16)
Sorry about the watermarks--distracting!
Based on the given set of values, we can note that the first table is correct
What is Probability?This refers to the calculations of the way an event is most likely to occur.
Hence, the table for x=Yellow Prob
0 .5625
1 .375
2 .0625
For each outcome, there is probability 1/16.
The numbers at the right show the number of yellows for each outcome. There are 9 outcomes with 0 yellow (prob = 9/16).
There are 6 outcomes with 1 yellow (prob = 6/16)
There is 1 outcome with 2 yellow (prob = 1/16)
Hence, because the calculated values are consistent with the values in the first table, then we can conclude that the first table is correct.
Read more about probability here:
https://brainly.com/question/25870256
learning task 2: pls help
Answer:
96=2(2x+x)24=3x[tex] \frac{2}{3} x = 72[/tex]x+(x+1)=294(x+8)=54The price of premium fuel has increased from 289.7 cents per litre to 297.9 cents per litre. Calculate the percentage increase
Answer:
≈ 2.76%
Step-by-step explanation:
Price increase
297.9 - 289.7 = 8
% increase
8/289.7 * 100 = 2.7614773904%
≈ 2.76%
А
How many degrees must
Figure A be rotated
counterclockwise around
the origin in order to line
up with Figure B?
B
A. 90
B. 180
C. 270
D. 360
Answer:
figure a must be rotated 180°
Select all the values of r that make the inequality r>4.6 true.
A. 4.60
B. 5.05
C. 3.7
D. 4.9
E. 4.08
The graph shows Sam's earnings. What is the constant
of proportionality between Sam's earnings and the
number of hours he worked?
Answer:
8
Step-by-step explanation:
Constant of proportionality, k = y/x
y = earnings ($)
x = time (h)
Any point on the line can be used to determine the constant of proportionality. Let's use, (1, 8)
Constant of proportionality, k = y/x = 8/1
k = 8
Suppose that you take a random sample of 259 people leaving a grocery store over the course of a day and find that 12% of these people were overcharged. Find a 95% confidence interval for the actual percentage of shoppers who were overcharged.
a. 5.7% to 18.3%
b. 8.85 to 15.15%
c. 7% to 17%
d. 9.5% to 14.5%
Answer:
8.04% to 15.96%
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose that you take a random sample of 259 people leaving a grocery store over the course of a day and find that 12% of these people were overcharged.
This means that [tex]n = 259, \pi = 0.12[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 - 1.96\sqrt{\frac{0.12*0.88}{259}} = 0.0804[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 + 1.96\sqrt{\frac{0.12*0.88}{259}} = 0.1596[/tex]
So 8.04% to 15.96%
16.) true or false The absolute value of a number and the opposite of a number
will always be different.
Answer
false
Step-by-step explanation:
the absolute value of -1 is 1, and the opposite of -1 is also 1, so it would be false since these are the same
A national survey asked 1,501 randomly selected employed adults how many hours they work per week. Based on the collected data, a 95 percent confidence interval for the mean number of hours worked per week for all employed adults was given as (41.18, 42.63). Which of the following statements is a correct interpretation of the interval?
A. Ninety-five percent of all employed adults work between 41.18 hours and 42.63 hours per week.
B. The probability is 0.95 that a sample of size 1,501 will produce a mean between 41.18 hours and 42.63 hours.
C. Of all samples of size 1,501 taken from the population, 95% of the samples will have a mean between 41.18 hours and 42.63 hours.
D. We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.
E We are 95% confident that the mean number of hours worked per week for all employed adults is between 41.18 hours and 42.63 hours.
Answer:
C
Step-by-step explanation:
The correct statement about the interpretation of the interval is
We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.
Option D is the correct answer.
What is a confidence interval?A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.
It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.
We have,
We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.
This is the correct interpretation of the 95% confidence interval given for the mean number of hours worked per week for all employed adults, based on the data collected from the random sample of 1,501 employed adults.
It means that if we were to take many random samples of 1,501 employed adults from the population and calculate the mean number of hours worked per week for each sample, we can be 95% confident that the true population mean lies between 41.18 hours and 42.63 hours.
Thus,
The correct statement about the interpretation of the interval is
We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.
Learn more about confidence intervals here:
https://brainly.com/question/17212516
#SPJ2
For what value of x does 4^x =(1/8)^x+5
9514 1404 393
Answer:
(b) -3
Step-by-step explanation:
It can work well to rewrite the equation as powers of 2.
[tex]4^x=\left(\dfrac{1}{8}\right)^{x+5}\\\\(2^2)^x=(2^{-3})^{x+5}\qquad\text{as powers of 2}\\\\2x=-3(x+5)\qquad\text{equate exponents}\\\\5x=-15\qquad\text{add $3x$}\\\\\boxed{x=-3}\qquad\text{divide by 5}[/tex]
__
Check
4^-3 = (1/8)^(-3+5) ⇒ 1/64 = (1/8)^2 . . . . true
Find a equivalent expression of 16a - 24 .
Answer: 8(2a - 3)
Step-by-step explanation:
Answer:
8(2a - 3)
Step-by-step explanation:
(16a - 24) / 8 =
8(2a - 3)
3. A table has a length of 3.4 meters and a width of 1.5 meters. Mang Jose painted the to portion approximately 3.75 m². What was the area left unpainted?
A. 5.1 m²
B. 3.75 m²
C. 5.2 m²
D. 1.35 m²
4. A trapezoidal piece of land having 998.50 m2 area is to be sharedby the two brothers Alex and Ben. Alex in his desire wants to have a square lot having 18.6 m² side. How big is Ben's share?
A. 652.54 m²
B. 345.96 m²
C. 862.5 m²
D. 900.1 m²
5. Find the area of a circular pool whose radius is 2 meters.
A. 12.56 m²
B. 15. 65 m²
C. 18.9 m²
D. 22,45 m²
Answer:
#3
What was the area left unpainted?
3.4*1.5 - 3.75 = 1.35 m²Option D
#4
How big is Ben's share?
998.50 - 18.6² = 652.54 m²Option A
#5
The area of a circular pool whose radius is 2 m:
A = π² = 3.14*2² = 12.56 m²Option A
What is the y intercept of the graph of the equation y=3(2)^x
Answer:
y-int. is (0,3)
Step-by-step explanation:
Answer:
(0,3)
Step-by-step explanation:
HELP ME!! PLEASE 10 POINTSSS
Answer:
The answer is 47°
Step-by-step explanation:
90°- 43°
Answer:
x = 47
Step-by-step explanation:
subtract 43 from 90
m × m × r = 5 × 4 × 5; then r =
Answer: 5
Step-by-step explanation:
Please Help! Need this to pass :/
Answer:
51°
Step-by-step explanation:
.........................
What is the surface area of the rectangular prism?
Answer:
250m² drawing a model or visualizing it would help
16. WHAT is a parallelogram.
W
T
1070
y
36°
42°
H
А
X
y =
Step-by-step explanation:
hope this helps you out with the problem
Which expression can be simplified as 1/18n? (n2)9. (n^-9)-2. (n^-6)-3. (n^-6)-3. (n-3)^6
Answer:
[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{n^{18}}[/tex]
Required
Determine its equivalent
[tex]\frac{1}{n^{18}}[/tex]
Express 18 as 3 * 6
[tex]\frac{1}{n^{18}} = \frac{1}{(n^{3})^6}[/tex]
This can be rewritten as:
[tex]\frac{1}{n^{18}} = (\frac{1}{n^{3}})^6[/tex]
Apply the following law of indices:'
[tex]\frac{1}{a^b} = a^{-b}[/tex]
[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]
Hence;
(d) is correct
Answer:D
Step-by-step explanation: cause im big brain
A sports ball has a diameter of 13 cm. Find the volume of the ball.
Answer:
V≈1150.35cm³
Step-by-step explanation:
Using the formulas
V=4 /3πr3
d=2r
Solving for V
V=1/ 6πd^3=1/ 6·π·13^3≈1150.34651cm³
Answer before 11:59 plzzz
Please get it right
Answer:
Y intercept is where x=0. Plug it in the original function find the y intercept
Step-by-step explanation:
Graph?
How much kinetic energy does a 180-kg deer have when it is prancing 9 m/s?
Answer:
7290 joules
Step-by-step explanation:
The formula for kinetic energy is mv²/2 so let’s put the numbers in:
180*81/2 which is 7290 joules
would be amazing if you marked this brainliest :)
Two cards are drawn from a standard deck of cards without replacement. Find the probability of drawing a heart and a club in that order
Answer:
4/663
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Since we are to draw from a pack of card, the total outcome will be 52
Since there are 4 hearts;
Pr(selecting heart) = 4/52 = 1/13
If a club is then selected without replacement, the total number of card remaining will be 51;
Pr(selecting a heart) = 4/51
probability of drawing a heart and a club in that order = 4/52 * 4/51
probability of drawing a heart and a club in that order = 16/2652
probability of drawing a heart and a club in that order = 4/663
i need help please! Much appreciated
Answer:
From SOHCAHTOA
Sin60 = 9/y
y= 9/sin60
y=10.39 ~ 10.4
Again
From SOCAHTOA
Tan60= 9/x
x= 9/tan60
x=5.19 ~ 5.2.
Marcy will earn 3 rewards points for each movie she attends. Which equation represents the relationship between y, the total points and x the number of movies?
Answer:
y=3x
Step-by-step explanation:
Math is a valuable skill for many workers at their jobs. List two specific examples where math is used in the workplace.
Answer:
1. A simple cashier working at a supermarket
2. Doctors/medical professionals
Step-by-step explanation:
Although usually simple the cashiers must be able to do basic math to be able to give the correct amount of change to the customer
Medical professionals are constantly converting measurements in the workplace needing math to help with their cases
Answer:
1. Doctors regularly analyze numbers, make computations and employ statistics or to find the success rate of treatments. Math skills also are important when analyzing X-rays and CAT scans.
2. Electrical engineers use math in many ways in their career. They use math to help design and test electrical equipment. They use math to calculate amp and volt requirements for electrical projects. They use math in creating computer simulations and designs for new products.
Step-by-step explanation:
And math teaches other important practices, including how to approach tasks methodically, pay attention to detail, and think abstractly. Science, technology, and engineering disciplines, for example, rely heavily on mathematics.
Help me fast!!!! :)
Answer my other questions plz
Answer:
x = 20°
Step-by-step explanation:
Angles on a straight line = 180°
Therefore,
3x° + 80° + 2x° = 180°
Add like terms
5x + 80 = 180
Subtract 80 from each side
5x + 80 - 80 = 180 - 80
5x = 100
Divide both sides by 5
5x/5 = 100/5
x = 20°
Khan Academy Question pls answers only
Answer: 0
Step-by-step explanation:
When x = 6, y = 0 [since the graph passes through (6,0)].;
Which ordered pair represents the solution to the system of linear equations?
Answer:
0,2
Step-by-step explanation:
because because it crosses the x-axis line only one time
A data set that is normally distributed has a mean of 128 and standard deviation of 6.2. What is the Z-score,
rounded to the nearest hundredth, for a data value of 143
Answer:
2.42Step-by-step explanation:
Given:
μ = 128σ = 6.2x = 143Z-score is:
z = (x - μ)/σ = (143 - 128)/6.2 ≈ 2.42 (rounded to the nearest hundredth)