Answer: Therefore, the probability of not landing on blue when spinning the spinner once is 62.5%.
Step-by-step explanation: There are 8 sections on the spinner, and 3 of them are blue. Therefore, the probability of landing on blue is:
P(blue) = 3/8 = 0.375
The probability of not landing on blue is the complement of the probability of landing on blue:
P(not blue) = 1 - P(blue) = 1 - 0.375 = 0.625
To convert this probability to a percentage, we can multiply by 100:
P(not blue) = 0.625 x 100% = 62.5%
Discuss the order of operations
Answer:
The answer can be found below.
↓↓↓↓
Step-by-step explanation:
\(\Large\boxed{\underline{\text{ORDER OF OPERATIONS:}}}\)
If you need to determine the order of operations, use PEMDAS or BODMAS, which stands for:
\(\underline{\text{GIVEN:}}\)
PEMDAS:
Parentheses ⇒ (3+4)Exponents ⇒ 3²Multiply ⇒ 8*4Divide ⇒ 12÷4Add ⇒ 6+6Subtract ⇒ 10-5BODMAS:
BracketsOrderDivideMultiplyAddSubtractI hope this helps, let me know if you have any questions.
n. A jury consists of 12 members, and each member must vote either guilty or not guilty. Assume that the vote of each member is independent Suppose that the probability that a juror votes correctly (i.e. in line with the actual innocence/guilt of the person on trial) is 70% What is the probability that there is an inconclusive (tied) voting outcome
Answer:
0.0792 = 7.92% probability that there is an inconclusive (tied) voting outcome
Step-by-step explanation:
For each juror, there are only two possible outcomes. Either they vote correctly, or they do not. The probability of a juror voting correctly is independent of any other juror. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
12 members
This means that \(n = 12\)
Suppose that the probability that a juror votes correctly (i.e. in line with the actual innocence/guilt of the person on trial) is 70%
This means that \(p = 0.7\)
What is the probability that there is an inconclusive (tied) voting outcome?
Same number(12/2 = 6) of votes for each option, so P(X = 6).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 6) = C_{12,6}.(0.7)^{6}.(0.3)^{6} = 0.0792\)
0.0792 = 7.92% probability that there is an inconclusive (tied) voting outcome
An insurance provider states that their customers save at least, on average, 300 dollars per year by switching to them, with a standard deviation of 150 dollars. Before we decide to switch to the new company and go through all of the hassle, we want to test the claim. So, we go out and sample 64 individuals who switched to the new insurance company and found them to have saved an average of 255 dollars per year. Do we have enough evidence at the α = 0.05 level to state that the insurance provider is false in their claim? Discussion Prompts Answer the following questions in your initial post: What are the hypotheses based on the words given in the problem? Should we use a Z or T distribution in this case? What is our Z or T statistic? What is the P-value? Based on your p-value and alpha, what conclusion will we make? Based on your results, would you switch to this company? Explain why or why not (Note: this can go beyond the use of statistics, but statistical analysis can help our decisions)
The solution to the question is mathematically given as
1)
H0: M \(\geqslant\) 300
H0: M \(\geqslant\) 300
2)
Z distribution.
3)
z=-2.4
4)
P=0.0082
5)
"H0" is rejected as a hypothesis with a level of significance of 0.05.
What is the hypothesis ?Generally, the equation for is mathematically given as
Solutions
we have, \($u=300$$$\begin{aligned}& \sigma=150 \text { dollars } \\N &=64 \text { individuals } \\\bar{x} &=255 \text { dollare. } \\a=& 0.05 .\end{aligned}\)
(1):
H0: M \(\geqslant\) 300 dollars; customers save at least 300 dollars per year by switching to them.
H0: M \(\geqslant\) 300 dollars:
(This is a left-tailed test)
(2):
when \(\sigma\) is known, we use the Z test. we use Z distribution.
(3):
\(\begin{gathered}z=\frac{\bar{x}-\mu}{6 / \sqrt{n}}=\frac{255-300}{150 / \sqrt{64}}=\frac{-45}{18.75}=-2.4 \\z=-2.4\end{gathered}\)
(4):
\(Pvalue $=P(z < -2 \cdot 4)$ $=0.0082 \quad\{$ wing $z$ tables $\}$ \\\\\text { Pvalue }=0.0082\)
(5):
In conclusion, Since p-value = 0·0082 <0.05
This is statistically significant at the 0.05 level.
We thus "Refect H0" using a threshold of significance of 0.05.
"H0" is rejected as a hypothesis with a level of significance of 0.05.
There is not enough data to support the assertion that consumers may save at least $300 annually by switching insurance providers.
Therefore, we would not consider making the transition to this firm.
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In one particular suburb, there are 28 families that own a pug. If these owners make up 80% of all dog owners in this suburb, then how many dog owners are there in this neighborhood?
Answer:
60%
Explanation:
To get percentages, take the part of a population that is being specified and divided that by the whole population and multiply that value by
100%
So there are 30 people that own boxers, this is the specific population that is being compared to the whole dog-owning population, which is comprised of 50 total families. So 30 50 can be reduced to 3 5 and that gives us 0.6
When that value is multiplied by
100%, it gives us our percentage of 0.6 ⋅ 100% = 60
In Circle YmAD = 68° and mBC = 156. Find mZ1
Answer:
m<1 = 112°
Step-by-step explanation:
Given:
Arc BC = 156°
Arc AD = 68°
Required:
m<1
Solution:
m<1 = ½(arc BC + arc AD) => based on intersecting chords angle measure theorem
Substitute
m<1 = ½(156° + 68°)
m<1 = ½(224)
m<1 = 112°
Roberto is 3 years older than Carolyn. In 7 years the sum of their ages will be 81. How old is Roberto now?
Answer: 35
the age of Roberto is x (x > 3)(x ∈ N)
because Roberto is 3 years older than Carolyn => the age of Carolyn is x - 3
in 7 years, the age of Roberto is x + 7; the age of Carolyn is x - 3 + 7 = x + 4
because In 7 years the sum of their ages will be 81 =>
x + 7 + x + 4 = 81
⇔ 2x + 11 = 81
⇔ 2x = 70
⇔ x = 70/2 = 35
=> the age of Roberto is 35
Step-by-step explanation:
Simplify (a÷b)³×(b÷c)×(c÷a)³ when a=3,b=a²,c=a³
Answer:
To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.
Substituting the values of a, b, and c:
a = 3
b = a² = 3² = 9
c = a³ = 3³ = 27
Now let's simplify the expression:
(a÷b)³×(b÷c)×(c÷a)³
(3÷9)³×(9÷27)×(27÷3)³
Simplifying each term:
(3÷9) = 1/3
(9÷27) = 1/3
(27÷3) = 9
Now we can substitute the simplified values back into the expression:
(1/3)³×(1/3)×9
Simplifying further:
(1/27)×(1/3)×9
1/9
Therefore, the simplified expression is 1/9.
Crater Lake in Oregon is shaped like a circle with a diameter of about 5.5 miles
a. How far is it around the perimeter of Crater Lake
b. What is the area of the surface of Crater Lake?
Give a step by step explanation please
Answer:
The perimeter of a circle is calculated with 2πr
The r stands for radius. The radius is half of the diameter.
So r=2.25
Plug it in 2π(2.25)
It was simplify to 4.5π
Which would simplify down to 14.14 miles rounding to the nearest hundredth.
What does the data above tell you about the difference in haircut costs between women and men? You may want to discuss similarities or differences in the shape, center, and spread of the data. Explain your reasoning and give mathematical evidence to support any claim that you make.
The disparity indicates that women generally earn more than males do.
What do you mean by mean average?A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint.In mathematics, the mean is the average of a set of data, which is calculated by adding all the numbers together and then dividing the result by the total number of numbers. For instance, the mean for the collection of values 8, 9, 5, 6, 7 is 7, since 8 + 9 + 5 + 6 + 7 = 35, and 35/5 = 7.Although they are different, average and mean are similar. The average is calculated by dividing the total number of values in the set by the sum of all the numbers.Given data :
Main body:
The greater number of observations may be the cause of the wider price range.
Females cost more on general and have a wider variety. 50% of women spend $20–$75 on a haircut, compared to 50% of men who only spend $9.25–$20. Additionally, the female median is significantly higher.
The high max valves that are raising the mean are the reason the mean is higher.
Therefore, based on observation, we can conclude that women generally earn more than men.
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Need help with question
Answer:
f(2) = 1
x = 0
Step-by-step explanation:
f(2) = 1 since y=1 when x=2.
f(0) = -3 since x=0 when y=-3
Numește, pentru fiecare imagine, activitatea în care este folosită apă
Answer:
Namaste
Step-by-step explanation:
fxp-wvsa-uzebu sh
A 500-gallon water tank drains at a rate of 50 gallons per minute. The amount of water left in the tank depends on the number of minutes it has been draining. What is the range of this relation?
Answer:0<Y<500
The amount of water Left in the thing depends on the number of minutes it’s been draining so the dependent variable is the amount of water left in the tank.
what is 15/27 in a decimal?
Answer:
0.55555
Step-by-step explanation:
the 5 keeps repeating
A line has a slope of -1/10
and includes the points (1, -6) and (t, -5). What is the value of t?
Answer:
-9
Step-by-step explanation:
Here we use the slope formula: m= y2-y1/x2-x1. We simply plug in the numbers we know: -1/10 = -5+6/t-1. Then we solve for t. Multiply both sides by (t-1) so -1/10 (t-1)= 1. Then multiply both sides by -1/10 so t-1= -10 and then add one to both sides so t=-9.
Find the percent change (Round to the nearest tenth)
Original Price $12
Sale Price $10
Answer:
16.67 percent
Step-by-step explanation:
12$ to 10$ is a 16.66 percent difference
A histogram shows data that is skewed to the right. Which most likely describes the relationship between the mean and the median?
Answer:
A histogram shows data that is skewed to the right. Which most likely describes the relationship between the mean and the median? The mean is greater than the median. The rightmost values in the data set raise the mean more than the median.
It says write an equivalent expression for this equation right here. That's not a negative in the first part sorry for that.
The given expression is
(a+b)(a^2-ab+b^2)
We would simplify by multiplying the terms in the first bracket by the terms in the second bracket. We have
a * a^2 + a * - ab + a * b^2 + b * a^2 + b * - ab + b * b^2
= a^3 - a^2b + ab^2 + a^2b - ab^2 + b^3
We would collect like terms. It becomes
a^3 - a^2b + a^2b + ab^2 - ab^2 + b^3
= a^3 + b^3
A park ranger wants to know the average time it takes hikers to hike a trail. There is an average of 1,245 hikers on the trail in a year. How can he find a reasonable estimate for the amount of time it takes to hike the trail? A time any hiker on the trail and use that time
B time himself on the trail and use that time
C time 100 hikers and average their times
D time 3 hikers and average their times
Answer:
B
Step-by-step explanation:
the reason why is a bigger sample size and a different types of people in a 100 than 3 or than himself
y= 3 ( x − 1 ) ^2 − 8 in standared form
y = 3(x-1)^2 - 8
y = 3(x^2 - 2x + 1) - 8 [Using the identity (a-b)^2 = a^2 - 2ab + b^2]
y = 3x^2 - 6x + 3 - 8 [Distributing the 3]
y = 3x^2 - 6x - 5 [Simplifying]
*IG:whis.sama_ent
Answer:
y=3x^(2)-6x-5
\(y=3x^2 -6x-5\)
hope this helps ;)
joaquin has been working on homework for 3 1/2 hours. if each assignment takes him 1/4 of an hour, how many assignments has he completed?
Convert 3 1/2 to a improper fraction:
3 1/2 = 7/2
Divide 7/2 by 1/4:
7/2 ÷ 1/4
7/2 × 4/1
28 / 2
= 14
Joaquin has finished 14 assignments
Answer:
14
Step-by-step explanation:
distancia entre (-10, -9) y (-17, -12)
Answer:
√58 or 7.615773
Step-by-step explanation:
\(\sqrt{(-12-(-9)^2 +(-17-(-10)^2} = \sqrt{(-12+9)^2+(-17+10)^2} = \sqrt{(-3)^2+(-7)^2} = \sqrt{9+49} = \sqrt{58}\)
Please help. Thanks :)
28) \(\sqrt{43}\) is not a perfect square since 43 is not a perfect square.
irrational number29) -2/3 can be written as the ratio of the two integers.
rational numberIf the two lines below are perpendicular and the slope of the red line is
what is the slope of the green line?
A. -2/5
B. 2/5
C. 5/2
D. -5/2
Answer:
B. 2/5
Step-by-step explanation:
) listen
4. Ming's vegetable garden has the shape shown
below. What is the area of the entire garden?
6 m
6
m
3 m
Answer: 108 meters
Step-by-step explanation:
Area = length x width x height
A = 6 x 6 x 3
Area = 108m
Which of the following linear equations corresponds to the table above?
OA. y=4x-3
OB. y=¹/4x-3
OC. y=¹/4x+3
OD.
y = 4x + 3
\(given \: that \: its \: linear \\ m = \frac{15 - 3}{3 - 0} = \frac{12}{3} = 4 \)
\(b = y(0) = 3 \\ y = 4x + 3 \: \)
Option DAnswer:
D) y = 4x + 3
Step-by-step explanation:
Equation of line in slope y-intercept form:\(\sf \boxed{\bf y = mx +b}\)
Here, m is the slope and b is y intercept.
At y intercept, x = 0
From the table, y intercept = 3
Choose any two points from the table to find the slope.
(0 ,3) & (3,15)
\(\sf \boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}\)
\(\sf =\dfrac{15-3}{3-0}\\\\=\dfrac{12}{3}\\\\=4\)
m = 4 ; b = 3
Equation of line:
y = 4x + 3
A car that when purchased 5 years ago cost $5,000 has a value now of $900. Find the value of the car of 8 years after its purchase by using the exponential model V(t) = V0etb, in which V(t) is the value of the car at any time t, V0 is the initial cost, t is the time in years, and b is the rate of depreciation. Round your answer to the nearest hundredth.
We will first calculate the value of b using the given infomation:
\(V(5)=V_0\cdot e^{5\cdot b}\)\(900=5000\cdot e^{5\cdot b}\)\(\frac{900}{5000}=e^{5\cdot b}\)\(\frac{9}{50}=e^{5\cdot b}\)\(b=\frac{1}{5}\log (\frac{9}{50})\)That must be the rate of depreciation. Now lets find the value of the car 8 years after:
\(V(8)=5000\cdot e^{\frac{8}{5}\cdot\log (\frac{50}{9})}\)\(V(8)\approx321.67\)(i) Write the zeroes of the polynomial by using above graph.
(ii)Form a quadratic polynomial for above graph.
(iii)If a,1/a are the zeroes of polynomial 2x² -x +8k, then find the value of k.
please answer
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There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.
(i) Zeroes of the polynomial:
In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:
From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.
We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:
We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.
The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a
Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,
we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0
Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))
Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.
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Solve |2s−7| ≥ −1. Please help
Answer:
S = All real numbers / (∞,∞)
Step-by-step explanation:
Absolute values are ALWAYS greater or equal to zero. Therefore, you could plug any number into S, and it would still be greater than 1.
one wall of patel's bedroom is 13 feet wide and 8 feet tall. a window on the wall is 3 feet high and 6 feet long. how much wallpaper would patel need to cover this wall.
Patel would need 86 square feet of wallpaper to cover this wall.
To calculate how much wallpaper Patel would need to cover the wall, we need to first calculate the area of the wall. The formula for the area of a rectangle is length x width. So the area of Patel's wall would be:
13 feet x 8 feet = 104 square feet
Next, we need to subtract the area of the window, as we don't need to cover that part of the wall. The area of the window would be:
3 feet x 6 feet = 18 square feet
So the area of the wall that needs to be covered with wallpaper would be:
104 square feet - 18 square feet = 86 square feet
Therefore, Patel would need 86 square feet of wallpaper to cover this wall.
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Which graph shows the information in the table?
Calories in Salad Dressing
Number of Ounces of Salad
Dressing
2
3
4
5
Total Calories
300
450
600
750
Answer: Number 2
Step-by-step explanation: yes