help!
Twenty seventh grade students are polled about which of three ice cream flavors they prefer. If one student is picked at random, which of the following tables represents vanilla as an event that is likely?
Answers
B would be the answer, because, as you can see, B's rate in vanilla is much higher than any of the other charts, and the difference between each number on the chart is greater as well.
Hope this helps!
Related Questions
A coin is loaded so that the probability of heads is 0.55 and the probability of tails is 0.45. suppose the coin is tossed twice and the results of the tosses are independent. what is the probability of obtaining exactly one head?
Answers
bernie and chloe hiked the tremont trail 3 1/2 miles to the end and back then they hiked the wildflower trail 2 3/8 miles how far did they hike
Answers
=(3 1/2 * 2) + 2 3/8
=7 + 2 3/8
=9 3/8 miles hiked total
ANSWER: 9 3/8 miles
Hope this helps! :)
Final answer:
Bernie and Chloe hiked a total of 9 3/8 miles after completing the round trip on Tremont Trail and the Wildflower Trail.
Explanation:
Bernie and Chloe hiked the Tremont Trail which was 3 1/2 miles to the end and back, meaning they hiked 7 miles on this trail (since they had to return). After that, they hiked the Wildflower Trail, which was 2 3/8 miles long. To find out the total distance they hiked, you would add these two distances together.
The total distance for the Tremont Trail (to the end and back):
3 1/2 miles to the end + 3 1/2 miles back = 7 miles
The total distance for the Wildflower Trail:
2 3/8 miles
Adding both distances gives us:
7 miles (Tremont Trail) + 2 3/8 miles (Wildflower Trail) = 9 3/8 miles
Therefore, Bernie and Chloe hiked a total of 9 3/8 miles.
Franklin saved money to buy art supplies. He used 1/5 of his savings to buy brushes. He used 1/2 of his savings to buy paint. What fraction of his savings does he have remaining?
Answers
Answer is down below
↓↓↓↓↓↓↓↓↓↓↓
If triangle XYZ is reflected across the line y = 1 to create triangle X'Y'Z', what is the ordered pair of X'? (2 points)
Answers
Answer:(4,-3)
Step-by-step explanation:
HELP!!!
1. A machine makes bolts that are 12 mm long. The bolts are considered acceptable if they are within 0.2 mm of 12 mm.
a. What is the longest the bolt can be and still be acceptable?
b. What is the shortest the bolt can be and still be acceptable?
Answers
b. 11.8mm
i think i already answered this but
If $7300 is invested in a savings account for which interest is compounded monthly, and if the $7300 turns into $8600 in 2 years, what is the interest rate of the savings account?
Answers
Answer:
8.22%
Step-by-step explanation:
The interest rate of the savings account is 8.22%
What is compound interest formula?[tex]A= P(1+\frac{r}{n} )^{nt}[/tex]
where, A : Amount
P = Principal amount
r = Annual interest rate as a decimal
R = Annual interest rate as a percent
r = R/100
n = number of compounding periods per unit of time
t = time in decimal years
What is the formula to find the interest rate?[tex]r=n[(\frac{A}{P} )^{\frac{1}{nt} }-1][/tex]
For given question,
the principal amount (P) = $7300
the amount (A) = $8600
period (t) = 2
n = 12 (since it's monthly compounding)
To find 'r'
Using the formula of rate of interest,
[tex]\Rightarrow r=n[(\frac{A}{P} )^{\frac{1}{nt} }-1]\\\\\Rightarrow r=12\times [(\frac{8600}{7300} )^{\frac{1}{12\times 2} }-1]\\\\\Rightarrow r=12\times [(1.18)^{\frac{1}{24} }-1]\\\\\Rightarrow \bold{r=0.0822}[/tex]
The rate of interest in percentage form,
[tex]\Rightarrow R=r\times 100\\\\\Rightarrow R=0.0822\times 100\\\\\Rightarrow \bold{R=8.22\%}[/tex]
Therefore, the interest rate of the savings account is 8.22%
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Last year, a person wrote 134134 checks. let the random variable x represent the number of checks he wrote in one day, and assume that it has a poisson distribution. what is the mean number of checks written per day? what is the standard deviation? what is the variance?
Answers
(a) mean = 367.24
(b) standard deviation = 19.17
(c) variance = 367.24
Explanations:
(a) Let [tex]\lambda[/tex] = rate parameter of parameter, which is the rate at which the number of checks are made in one day.
Since the person wrote 134,134 checks in last year, we can compute the rate parameter by dividing 134,134 by 365.251 because there are 365.251 days in a year. So,
[tex]\lambda = \frac{134,134}{365.251} \approx 367.237872[/tex]
Since the number of checks in one day follows a Poisson distribution, the mean number of checks in one day is the rate parameter [tex]\lambda[/tex]. Hence, the mean number of checks in one day is approximately 367.24.
(b) Since the number of checks in one day follows a Poisson distribution, the variance is equal to the rate parameter. Since the standard deviation is the square root of variance, the standard deviation is the square root of the rate parameter. In terms of equations,
[tex]\text{standard deviation} \\ = \sqrt{\lambda} \\ = \sqrt{\frac{134,134}{365.251}} \\ \boxed{\text{standard deviation} \approx 19.17}[/tex]
(c) As mentioned in (b), because the number of checks written per day follows poisson distribution, the variance is equal to the rate parameter. Since the rate parameter is approximately 367.24, therefore the variance is approximately 367.24.
true Value Hardware buys 200 snow blowers for $90 each to stock the store for the winter. If True Value sells the 200 snow blowers at $120 each, what is the profit?
Answers
ANSWER= 6,000
What is 100 + 101 + 102 equal to?
Answers
Answer:
111
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
for Owens lemonade recipe, 6 lemons are required to make 5 cups of lemonade?express your answer in simplest form.
plz help
Answers
At a store, 3 chairs and 4 desks together cost $367.95. The total costof 4 chairs and 6 beds is $$720.72. If the price of the desk is 2 times as much as the price of the chair, what is the total cost of 5 desks and 4 beds?
Answers
First timer. Do I need to write detailed solution?
After creating equations based on the given costs and solving for the price of chairs, desks, and beds, we find that the total cost for 5 desks and 4 beds is $725.78.
Explanation:To solve this problem, we will start by setting up two equations based on the information given about the prices of chairs, desks, and beds. Let's denote the cost of one chair as C, the cost of one desk as D, and the cost of one bed as B. According to the problem, the desk costs 2 times as much as the chair, so we have D = 2C.
Now, we can create equations based on the total costs provided:
3 chairs and 4 desks cost $367.95 -> 3C + 4D = 367.954 chairs and 6 beds cost $720.72 -> 4C + 6B = 720.72Substitute the value of D from D = 2C into the first equation:
3C + 4(2C) = 367.95 -> 11C = 367.95 -> C = 33.45
With the cost of a chair found, we can find the cost of a desk:
D = 2C = 2(33.45) = 66.90
Now, to find the cost of a bed, we use the second equation and substitute values for C:
4C + 6B = 720.72 -> 4(33.45) + 6B = 720.72 -> 133.80 + 6B = 720.72 -> 6B = 586.92 -> B = 97.82
Finally, we calculate the total cost of 5 desks and 4 beds:
5D + 4B = 5(66.90) + 4(97.82) = 334.50 + 391.28 = 725.78
The total cost of 5 desks and 4 beds is $725.78.
Find the equations of the tangent line to the curve at the given point. y = 9cos x. (π/3,4.5)
Answers
The details (the curve and the tangent line) are provided on the attached picture.
The equation of the tangent line to the curve is
y = -9 ( √3 / 2 )x + [ ( 3π√3 + 9 ) / 2 ]
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the curve be y = 9 cos ( x )
To find the equation of the tangent line to the curve y , take the derivative of y , we get
dy / dx = 9 ( - sin ( x ) )
dy / dx = -9 sin ( x )
So , y' = -9 sin ( x )
when x = π/3
Now plug in your value for x into y'
-9 sin ( π/3 ) = -9 ( √3 / 2 )
This is the slope of the tangent line at x = π/3
And , To find the equation of the tangent line, we need a value for y. Simply plug your x value into the original equation for y
So ,
y = 9 cos x
y = 9 cos ( π / 3 )
y = 9 ( 1/2 )
y = 9/2
Now use point slope form to find the equation of the tangent line
y - y₁ = m ( x - x₁ )
Substituting the values in the equations , we get
y - 9/2 = -9 ( √3 / 2 ) ( x - π/3 )
On simplifying the equation , we get
y - 9/2 = -9 ( √3 / 2 )x + 9 ( √3 / 2 ) ( π/3 )
Adding 9/2 on both sides of the equation , we get
y = -9 ( √3 / 2 )x + [ ( 3π√3 + 9 ) / 2 ]
Hence , the equation is y = -9 ( √3 / 2 )x + [ ( 3π√3 + 9 ) / 2 ]
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Round 9.098 to the nearest tenth.
Answers
Final answer:
To round 9.098 to the nearest tenth, we round up because the hundredths digit is 9, resulting in 9.1.
Explanation:
Rounding 9.098 to the nearest tenth:
Identify the tenths place in 9.098, which is 0.1.The digit immediately after the tenths place is 9, which is 5 or higher, so you need to round up.Therefore, when rounding 9.098 to the nearest tenth, the result is 9.1.A farmer has 60 bales of hay stored in his barn. He feeds his cows 4 bales each day. Which graph represents the number of bales in the barn, y, after feeding his cows for x days?
Answers
Answer:
The required equation is [tex]y=-4x+60[/tex] and graph of this equation is shown below.
Step-by-step explanation:
Let y be the number of bales in the barn after feeding his cows for x days.
It is given that a farmer has 60 bales of hay stored in his barn.
Initial number of bales = 60
He feeds his cows 4 bales each day. It means number of bales decrease by 4 bales per day.
Slope = -4
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept or initial value.
Substitute m=-4 and b=60 in the above equation.
[tex]y=-4x+60[/tex]
The y-intercept of the graph is 60.
The table of values is shown below
x y
0 60
15 0
Plot these these points on coordinate plane and connect them by a straight line.
The required graph is shown below.
What’s the surface area of a rectangle if it’s 5 by 10 in
Answers
A landscaper has 3/4 ton of mulch. She puts 1 1/6 ton of mulch on each flower bed. How many flower beds does she put mulch on?
Answers
So, 3/4 divided by 1 1/6 ton. Because the amount you are dividing by is bigger than the amount you started with, your answer will not be one full garden bed.
3/4 divided by 1 1/6 can be rewritten as 3/4 divided by 7/6, and then as 3/4 x 6/7. The answer is 9/14 of a garden she can put mulch on.
Create a Pattern with the rule n-4
Answers
If we let n = 20, the pattern is 20, 16, 12, 8, 4, ...
If we let n = 40, the pattern is 40, 36, 32, 28, ...
We can use any number for n unless you were given a specific one to start though it did not look that way from the way you wrote the question.
The formula for finding the present value of an item that depreciates yearly is v = c - crt. In this formula, v is the present value, c is the original cost, r is the rate of depreciation per year, and t is the number of years that have passed. After 7 years, what is the value of a car originally costing $27,000 that depreciated at a rate of 0.1 per year
Answers
Using the formula and substituting our known information, we have:
v = 27000 - 27000(0.1)(7)
v = 27000 - 18900
v = 8100
Final answer:
To calculate the present value of a car after 7 years, using the formula v = c - crt with the given values, the present value is $8,100.
Explanation:
The question involves finding the present value of a depreciating asset, in this case, a car. Using the provided formula v = c - crt where v is the present value, c is the original cost, r is the rate of depreciation per year, and t is the number of years, we can calculate the value of a car after a certain time period.
Given that the original cost c is $27,000, the rate of depreciation r is 0.1 (or 10%), and the time t is 7 years, we can substitute these values into the formula to find the present value of the car after 7 years. The calculation is as follows: v = $27,000 - ($27,000 × 0.1 × 7). Simplifying, we get: v = $27,000 - ($27,000 × 0.7) = $27,000 - $18,900 = $8,100.
The diagram below shows a process in earths crust which of the following statements best describes the process in the diagram
Answers
The layer with a plastic nature is the mantle (Layer C). The rocks in the mantle can deform and flow over long periods due to heat and pressure, giving them a plastic-like quality. This deformation is crucial for the movement of tectonic plates and various geological processes on Earth.
The Earth is composed of several layers, each with distinct properties and compositions. Starting from the center and moving outward, the major layers are:
Inner Core (Layer A):
The innermost layer is solid and composed mainly of iron and nickel. It is extremely hot, with temperatures reaching up to 9,000 degrees Fahrenheit (5,000 degrees Celsius). Despite the high temperature, the inner core remains solid due to intense pressure.
Outer Core (Layer B):
Surrounding the inner core is the outer core, which is also composed of molten iron and nickel. However, in the outer core, these materials are in a liquid state. The movement of the molten metal in this layer generates the Earth's magnetic field through the geodynamo process.
Mantle (Layer C):
Above the outer core is the mantle, a thick layer of solid rock that can flow slowly over geological timescales. The mantle is mostly composed of silicate minerals rich in iron and magnesium. The convection currents in the mantle are responsible for the movement of tectonic plates.
Crust (Layer D):
The outermost layer is the Earth's crust, which is relatively thin compared to the other layers. The crust is composed of solid rock and is divided into two types: the continental crust (found beneath continents) and the oceanic crust (found beneath oceans). The crust is where we find the solid ground we walk on.
The layer with a plastic nature is the mantle (Layer C). The rocks in the mantle can deform and flow over long periods due to heat and pressure, giving them a plastic-like quality. This deformation is crucial for the movement of tectonic plates and various geological processes on Earth.
The complete question is:
The diagram below shows four layers of the Earth.
Source:
Which of these layers is composed of materials with a plastic nature?
Layer A
Layer B
Layer C
Layer D
The layer with a plastic nature is the mantle (Layer C). The rocks in the mantle can deform and flow over long periods due to heat and pressure, giving them a plastic-like quality. This deformation is crucial for the movement of tectonic plates and various geological processes on Earth.
The Earth is composed of several layers, each with distinct properties and compositions. Starting from the center and moving outward, the major layers are:
Inner Core (Layer A):
The innermost layer is solid and composed mainly of iron and nickel. It is extremely hot, with temperatures reaching up to 9,000 degrees Fahrenheit (5,000 degrees Celsius). Despite the high temperature, the inner core remains solid due to intense pressure.
Outer Core (Layer B):
Surrounding the inner core is the outer core, which is also composed of molten iron and nickel. However, in the outer core, these materials are in a liquid state. The movement of the molten metal in this layer generates the Earth's magnetic field through the geodynamo process.
Mantle (Layer C):
Above the outer core is the mantle, a thick layer of solid rock that can flow slowly over geological timescales. The mantle is mostly composed of silicate minerals rich in iron and magnesium. The convection currents in the mantle are responsible for the movement of tectonic plates.
Crust (Layer D):
The outermost layer is the Earth's crust, which is relatively thin compared to the other layers. The crust is composed of solid rock and is divided into two types: the continental crust (found beneath continents) and the oceanic crust (found beneath oceans). The crust is where we find the solid ground we walk on.
The layer with a plastic nature is the mantle (Layer C). The rocks in the mantle can deform and flow over long periods due to heat and pressure, giving them a plastic-like quality. This deformation is crucial for the movement of tectonic plates and various geological processes on Earth.
The question probable maybe: The diagram below shows four layers of the Earth.
Which of these layers is composed of materials with a plastic nature?
Layer A
Layer B
Layer C
Layer D
Evaluate the expression 42+6⋅52−33÷32.
Answers
= 42+6⋅52−33÷32
multiply first
= 42 + (6*52) - 33 ÷ 32
= 42 + 312 - 33 ÷ 32
division second
= 42 + 312 - 1.03125
addition next
= 354 - 1.03125
subtraction last
= 352.96875
ANSWER: 352.96875 (*if rounding, answer is 353)
Hope this helps! :)
Last year the chess club had 20 members. This year the club has 15 members. Find the percentage of change and state whether the percent of change is an increase or decrease
Answers
The negative sign indicates a decrease in the number of members. Therefore, the percentage change of -25% means that the number of members decreased by 25%. To summarize, the percentage change in the number of members from last year to this year is 25% decrease.
To find the percentage change in the number of members from last year to this year, we'll use the formula for percentage change:
[tex]\[ \text{Percentage change} = \left( \frac{\text{New value} - \text{Old value}}{\text{Old value}} \right) \times 100\% \][/tex]
Given that last year the chess club had 20 members and this year it has 15 members, we can plug these values into the formula:
[tex]\[ \text{Percentage change} = \left( \frac{15 - 20}{20} \right) \times 100\% \][/tex]
[tex]\[ \text{Percentage change} = \left( \frac{-5}{20} \right) \times 100\% \][/tex]
[tex]\[ \text{Percentage change} = -\frac{1}{4} \times 100\% \][/tex]
[tex]\[ \text{Percentage change} = -25\% \][/tex]
The negative sign indicates a decrease in the number of members. Therefore, the percentage change of -25% means that the number of members decreased by 25%.
To summarize, the percentage change in the number of members from last year to this year is 25% decrease.
The complete question is:
Last year the chess club had 20 members. This year the club has 15 members. Find the percentage of change and state whether the percent of change is an increase or decrease.
Please help!!!!:
Mrs. Greenhaus has a six-sided number cube and a spinner. The number cube has the numbers 1 through 6 on its faces, and the spinner has four equal regions with blue, red, yellow, and green each in a different region. This tree diagram represents the outcomes of rolling the number cube and then spinning the spinner.
What is the probability of rolling an even number and landing on blue?
A.1/2
B.7/8
C.1/4
D.1/8
Answers
What would happen to a monthly payment if the interest rate increased
Answers
What is the area of a sector with a central angle of 2π9 radians and a diameter of 20.6 mm? Use 3.14 for π and round your answer to the nearest hundredth.
Answers
Answer:
37.01
Step-by-step explanation:
5(2x − 3) = 5
Part A: How many solutions does this equation have?
Part B: What are the solutions to this equation? Show your work.
Answers
5(2x−3)=5
10x-15=5 (The variable x has exponent 1)
B)You can solve this equation as following:
1. Apply the distributive property, as below:
5(2x−3)=5
10x-15=5
10x=5+15
10x=20
x=20/10
x=2
Calculate the median of the data set below. {3, 7, 9, 2, 5, 3, 4, 6, 1, 0} A. 3 B. 3.5 C. 4 D. 10
Answers
Answer:
The median of the data set is 3.5 ⇒ answer (B)
Step-by-step explanation:
* Lats talk about the median of the data
- The median is the middle value of the arranged data
- You must to arrange the data at first to find the median
- The number of data is very important when you find the median
- If the number of data odd (1 , 3 , 5 , 7 , .....), then the median
will be the middle one of the data
* Ex: if the number of data is 13, then the median will be the 7th on
∵ 13 ÷ 2 = 6.5, then there are 6 numbers before and 6 number after
∴ The median is the 7th one
- If the number of data even (2 , 4 , 6 , 8 , .....), then there is no
middle on, we will find two numbers on the middle.
So we take the average of them
* Ex: if the number of data is 12, then the median will be the
average of the 6th and 7th numbers
* Lets use this conditions in our problem
- The data are 3 , 7 , 9 , 2 , 5 , 3 , 4 , 6 , 1 , 0
- At first arrange the data
* 0 , 1 , 2 , 3 , 3 , 4 , 5 , 6 , 7 , 9
- The number of data is 10
∵ 10 ÷ 2 = 5
∴ The median will be the average of the 5th and 6th numbers
∵ The 5th number is 3 and the 6th number is 4
∴ The median = (3 + 4)/2 = 3.5
* The median of the data set is 3.5
Answer:
c
Step-by-step explanation:
got it right on edge
What is the value of x?
#2
a. 71
b. 142
c. 152
d. 76
#3
a. 68
b. 62
c. 112
d. 124
Answers
There is a 20% probability that a person inoculated with a particular vaccine will get the disease anyway. a county health office inoculates 83 people. What is the probabythat exactly 10 of them will get the disease at some point their lives?
Answers
This is a binomial distribution, since there are two outcomes (infected or not infected), the probabilities are independent of each other, and there is a fixed number of trials. This is given by:
[tex]_{83}C_{10}\times(0.2)^{10}\times(0.8)^{73} \\ \\=\frac{83!}{10!73!}\times(0.2)^{10}\times(0.8)^{73} \\ \\=0.021[/tex]
Answer: 0.021
Step-by-step explanation:
Given : The probability that a person inoculated with a particular vaccine will get the disease anyway. : p= 20%=0.20
The total people inoculates : n= 83
The binomial probability formula :-
[tex]P(X)=^nC_xp^x(1-p)^{n-x}[/tex]
Now, the probability that exactly 10 of them will get the disease at some point their lives :-
[tex]P(X)=^{83}C_{10}(0.2)^{10}(0.8)^{73}\\\\=\dfrac{83!}{10!(83-10)!}(0.2)^{10}(0.8)^{73}=0.0209841759622\approx0.021[/tex]
Hence, the probability that exactly 10 of them will get the disease at some point their lives =0.021
Sarah has read aloud in class 3 more times than Joel. Sarah has read 9 times. Which equation represents this situation?
A j + 3 = 9
B j − 9 = 3
C 3j = 9
D j − 3 = 9
Answers
9-3=6
j=6
6+3=9
A line of best fit predicts that when x equals 25, y will equal 27.745, but y actually equals 29. What is the residual in this case? A. 1.255 B. -1.255 C. -2.745 D. 2.745
Answers
Answer:
The correct option is A.
Step-by-step explanation:
From the given information it is clear that at x=25, the predicted value of y is 27.745 and the actually value is 29.
Predicted value = 27.745
Observed value = 29
The formula for residual is
Residual = Observed value - predicted value
[tex]Residual=y-\hat{y}[/tex]
[tex]Residual=29-27.745[/tex]
[tex]Residual=1.255[/tex]
The residual in this case is 1.255, therefore option A is correct.
The residual is 1.255.
Explanation:The residual is the difference between the actual y-value and the predicted y-value for a given x-value. In this case, the predicted y-value when x equals 25 is 27.745, but the actual y-value is 29. Therefore, the residual is calculated by subtracting the predicted value from the actual value: 29 - 27.745 = 1.255. So, the answer is A. 1.255.