Answer:
2(x - 8)
Step-by-step explanation:
Suppose Sora is arguing with her mother, Jane. Jane believes that Sora eats mostly candy and doesn't eat enough fruits and vegetables, but Sora claims that she eats candy, fruits, and vegetables equally often. To test Sora's claim, Jane carefully monitors Sora's eating habits for several weeks. She records the number of times that Sora eats fruits, vegetables, and candy.
Jane conducts a chi-square test for goodness-of-fit to test Sora's claim. Jane's results are summarized in the table
Type of food Fruits Vegetables Candy
Observed 62 54 84
Test proportion 0.333 0.333 0.333
Expected 66.667 66.667 66.667
Contribution to chi-square 0.327 2.407 4.506
Chi-square statistic: 7.2400
Degrees of freedom: 2
What is the p-value for Jane's chi-square test for goodness-of-fit? Round your answer to three decimal places.
Answer:
0.027
Step-by-step explanation:
The p-value for Jane's chi-square test for goodness of fit is computed by using value of test statistic and degree of freedom.
Using Excel function CHISQ.DIST.RT(7.24,2) for computing p-value for chi-square goodness of fit test. 7.24 is the value of test statistic and 2 is degree of freedom. The resultant value is 0.026783. By rounding off to three decimal places the required p-value is 0.027.
MARK AS BRAINLIEST An artist has a block of clay in the shape of a cube. The edges of the cube measure 3 inches. The artist will use the clay to make models of
pine trees. Each tree will be a solid cone with a base diameter of 1.5 inches and a height of 2 inches.
Part A
Determine the greatest number of clay pine trees that the artist can make. Show your work.
Answer:
22
Step-by-step explanation:
The volume of a cube is given as:
Cube volume = length × length × length
Since the edges of the cube measure 3 inches, this means that the length of the cube is 3 inches, therefore:
Cube volume = 3 inches × 3 inches × 3 inches = 27 in³
The pine tree is the shape of a cone with diameter of 1.5 inches and a height (h) of 2 inches. The radius (r) = diameter / 2 = 1.5 inches / 2 = 0.75 inches.
The volume of the cone = πr²(h/3) = π × (0.75)² × (2/3) = 1.178 in³
The number of pine trees that can be made = Volume of cube / Volume of cone = 27 / 1.178 = 22.9
The number of pine trees = 22
Consider the points R and S in the figure. How many different lines pass through
both R and S? Explain.
Answer:
Here we have two points R and S.
How many lines pass through both R and S?
Well, we can have only one line that passes through both R and S.
Because we are working with lines, we can only see a plane X-Y here.
Then the points R and S can be written as:
R = (x1, y1) and S = (x2, y2)
Now, a line or a linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Now, let's suppose that we have two different lines that pass through points R and S.
From above, both lines must have the same slope, because they pass through the same points.
y1 = a*x + b
y2 = a*x + c
So the only thing that our lines can have different is the y-intercept, but the y-intercept acts as a vertical shift.
This means, if we have different values in the y-intercept, we will have two parallel lines.
And two parallel lines can never pass through the same points, which means that we can not have different values for the y-intercept.
Then the two lines must be identical.
Then there is only one line that passes through points S and R at the same time,
for which of the following problems would the calculation of 1.5 / 0.25 be appropriate
Evaluate the expression, when y = 2.
4y - 6 + 5y = y
Answer:
12
Step-by-step explanation:
4y - 6 + 5y = y
place 2 in the spot of y
4(2) - 6 + 5(2)= y
keep that last y the way it is
4•2=8 5•2=10
8-6+10=y
Simplify
2+10=y
12=y
The new 12 mile hiking trail is 150% of the length of the original trial. How long was the original trial?
Answer:
The answer is 8 milesStep-by-step explanation:
Let the original trail be x
From the question 150% of the trail is
12 mile
That's
150% of x = 12
So we have
[tex] \frac{150}{100} x = 12 \\ \\ \frac{3}{2} x = 12[/tex]
Multiply through by 2
That's
[tex]2 \times \frac{3}{2} x = 12 \times 2[/tex]
We have
3x = 24
Divide both sides by 3
We have the final answer as
x = 8
Therefore the length of the original trail is
8 milesHope this helps you
What is the pattern sequence for 1,2,5,6,9
Answer:
maybe : 1,2,5,6,9,10,13,14,17,
Step-by-step explanation:
I think it's in odd/even number pattern but it'll always skip a number???
or it's just in +1 then +3 pattern
The next terms of the pattern 1,2,5,6,9 are 10, 13,14,17,18,21.
What is sequence?Sequence is a collection of terms which are related in some way which is common to all the terms or some of the terms.
How to find terms of sequence?The pattern is given as 1,2,5,6,9 and we have to find the next terms of the pattern.
The First term is 1, the second term is 2. The difference between them is 1.
Second term is 2 and the third term is 5. The difference between them is 3.
Third term is 5 and the fourth term is 6. The difference between them is 1.
Fourth term is 6 and fifth term is 9. The difference between them is 3.
If we observe pattern in them them we can find that in first term they have added 1 , in second term 3 , in third term 1, in fourth term 3. It means first add 1 and then 3.
The next terms will be :
9+1=10
10+3=13
13+1=14
14+3=17
17+1=18
18+3=21.
Hence the next terms of the pattern 1,2,5,6,9 are 10,13,14,17,18,21.
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write an equivalent unit rate to eating chips in 1/4 mins
Answer:
Here we have the case where:
"one chip is eaten in 1/4 mins."
(that means unit rate, the amount of a given variable that we need to do a unit of another variable)
Then the unit rate would be:
4 chips per minute.
Or, in a more mathematical way to write this:
4 chips/min.
Now we could write this in other units, for example.
We know that 1 min = 60s.
Then we have that (1/4) min = 60s/4 = 15s.
Then we have the unit rate:
1 chip every 15 seconds, or:
(1/15) chips/second.
Now, the variable in this case is time, t = time, let's multiply bot our unit rates by the same amount of time, and see if we have the same outcome.
Let's use t = 2 min.
1) (4chips/min)*2min = 8 chips.
2) ((1/15) chips/second)*2min
First, 2 min = 120 seconds.
((1/15) chips/second)*2min = ((1/15) chips/second)*120seconds = 8 chips.
So both unit rates are equivalent.
Which is a reasonable first step that can be used to solve the equation 2 (x + 6) = 3 (x minus 4) + 5?
Answer:
x=19
Step-by-step explanation:
2(x+6)=3(x-4)+5
2x+2*6=3x-3*4+5
2x+12=3x-12+5
12+12-5=3x-2x
19=x
Answer:
distribute 2 to (x+6) and 3 to (x-4)
Step-by-step explanation:
What is -3 1/4 +1 1/2 on a number line
a bicycle is traveling at 17 mph. How many feet will it cover in 50 seconds?
Answer:
1246 2/3 feet
Step-by-step explanation:
17 miles/hour * 5280 feet/1 mile * 1 hour/60 minutes * 1 minute/ 60 seconds =
24.93 feet/second * 50 seconds = 1246 2/3 feet
Answer: about 25 feet
Step-by-step explanation:
( the exact number for the problem would be 24.933.... so round )
convert 17 miles into a # of feet
convert 1 hr into a # of secs
# of feet=89760
# of secs=3600
divide 89760/3600
you get 24.9333..........
Round to the nearest tenth and get 25
2x+15=x/2-3
Can anyone solve for x?
Answer: X=-12
Right ain’t it ?
A company producing tennis racquets found that 3% of the racquets they produce are defective. The racquets are sent to shops in boxes of 6 and the shops send back boxes with more than one defective racquet. If a box is chosen at random and opened, what is the probability that it is sent back
Answer:
0.82
Step-by-step explanation:
The question says that three percent (3 out of 100) of the rackets (racquets) produced by the company are found to be defective.
First thing to calculate is the probability that 1 in a box of 6 rackets are defective.
That probability is gotten by cross multiplying, as illustrated below;
3 - 100
x - 6
x = (6×3)/100 = 18/100 = 0.18
Since the probability of having/finding 1 defective racket in a box of 6 is 0.18, the probability of finding more than 1 (minimum of 2 and maximum of all six) defective rackets in same box would be (1 - 0.18) = 0.82
Can someone, please help me with this.
Step-by-step explanation:
Hope it helps u mate
leave a like
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which is equivalent to the expression shown below
Step-by-step explanation:
-2a4 - 3a2 + 7a + 6 - 6a3 + a4 + 7a2 - 6
Solving like terms
-a4 - 6a3 + 4a2 + 7a
Option A is the correct answer
For the statement? below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim.
The standard deviation of the base price of a certain type of? all-terrain vehicle is at least ?$327.
Write the claim as a mathematical statement.
A. equals327
B. sigmagreater than327
C. sigmaless than or equals327
D. sigmanot equals327
E. sigmagreater than or equals327
F. sigmaless than327
Answer:
Option E - sigma greater than or equal to $327
Step-by-step explanation:
In this question, we are testing whether the standard deviation of the base price of a certain type of all-terrain vehicle is at least $327.
Now, standard deviation is denoted by the symbol sigma(σ). Since the test is saying it should be at least $327, it means it should either be equal to $327 or greater than $327.
Thus, we would use the symbol ≥ which means "greater than or equal to".
Thus, the claim as a mathematical statement would be;
sigma greater than or equal to $327
15 POINTS!!!!!!!!!!!!!!
If an object is dropped from a height of h meters and it’s the ground in t seconds, then t = *square root* h/4.9. Suppose that an object is dropped from the top of a building that is 290.57 meters tall. How long does it take to hit the ground?
Round your answer to the nearest tenth....
?????? Seconds
Please state how many seconds first...
Answer:
7.7 seconds
Step-by-step explanation:
t = √(h / 4.9)
t = √(290.57 / 4.9)
t = √59.3
t ≈ 7.7
QUESTION 1 Evaluate −30 ÷ −6. a 5 b −5 c 6 d −6 QUESTION 2 Evaluate 62 ÷ (3 + 9). a3 b4 c12 d21 QUESTION 3 Danny made a mistake in the following problem. The mistake was made in Line . Only input the number of the first incorrect line. Line 1 21 + 35 ÷ 7 + 6(2) Line 2 21 + 5 + 6(2) Line 3 21 + 11(2) Line 4 21 + 22 Line 5 43
Answer:
A; ?; Line 3
Step-by-step explanation:
Question 1:
-30 divided by -6 is 5.
The negatives cancel each other out.
And 30 divided by 6 is simply 5.
Question 2:
[tex]62\div(3+9)[/tex]
Do the operation inside the parenthesis first:
[tex]62\div12[/tex]
Divide. 12 does not go into 62 evenly. 12 times 5 is 60, so the answer is 5 remainder 2:
[tex]62\div12=5\text { R}2[/tex]
Or in fractions:
[tex]31/6[/tex]
(Was there a typo? From what you've given me, the correct answer is not listed.)
Question 3:
So we have to following steps:
[tex]\text{Line 1: } 21+35\div7+6(2)\\\text{Line 2: }21+5+6(2)\\\text{Line 3: }21+11(2)\\\text{Line 4: }21+22\\\text{Line 5: }43[/tex]
The mistake is in Line 3. Danny cannot just combine 5+6(2) into 11(2). Instead, he should multiply 6(2) and then add. Thus, the correct solution is:
[tex]\text{Line 1: } 21+35\div7+6(2)\\\text{Line 2: }21+5+6(2)\\\text{Line 3: }21+5+12\\\text{Line 4: }26+12\\\text{Line 5: }38[/tex]
HELP PLS! Kaitlyn is about to retire from gymnastics. Over her career she was lucky to stay healthy enough to compete in many meets. Create a Frequency Table and Histogram of the medals she won each season. 30, 42, 56, 63, 18, 44, 53, 70, 72 ,78, 59, 66 Create a frequency table with five intervals. Then use that information to create a histogram.
Answer:
272 thats the umm..never mind heheh
(16x²+24xy+9y²)÷(4x+3y)
Answer:
4x + 3y
Step-by-step explanation:
Answer:
4x+3y
Step-by-step explanation:
Which constants could each equation be multiplied by to eliminate the x-variable using addition in this system of equations? 2 x + 3 y = 25. Negative 3 x + 4 y = 22. The first equation can be multiplied by –3 and the second equation by 2. The first equation can be multiplied by –4 and the second equation by 2. The first equation can be multiplied by 3 and the second equation by 2. The first equation can be multiplied by 4 and the second equation by –3.
Answer:
The first equation can be multiplied by 3 and the second equation by 2.
Step-by-step explanation:
We are given the following system of equations:
[tex]\boxed{\left \{ {{2x+3y=25} \atop {-3x+4y=22}} \right.}[/tex]
To eliminate a variable in the equation, they must cancel out. For instance, if x = 1, in order to cancel out the numbers, you must add -1.
To multiply an equation, you must apply the constant that you are multiplying by to all constants and coefficients of the equation. For example, to multiply 2x + 4y = 8 by 3, you must multiply 2x by 3, 4y by 3, and 8 by 3.
Therefore, using this information, you can attempt each answer set and test the possibilities.
Answer Choice A
If you multiply the first equation by -3, you will get -6x - 9y = -75. If you multiply the second equation by 2, you will get -6x + 8y = 44. Adding -6 + -6 gives you -12, so these do not cancel out.
Answer Choice B
If you multiply the first equation by -4, you will get -8x - 12y = -100. If you multiply the second equation by 2, you will get -6x + 8y = 44. Adding -8 + -6 gives you -14, so these do not cancel out.
Answer Choice C
If you multiply the first equation by 3, you will get 6x + 9y = 75. If you multiply the second equation by 2, you will get -6x + 8y = 44. Adding 6 + -6 gives you 0, so these do cancel out.
Answer Choice D
If you multiply the first equation by 4, you will get 8x + 12y = 100. If you multiply the second equation by -3, you will get 9x - 12y = -66. Adding 8 + -9 gives you -1, so these do not cancel out.
Find the derivative of the vector function r(t)=ta×(b+tc), where a=⟨2,−3,4⟩, b=⟨−4,5,−1⟩, and c=⟨−2,−1,5⟩.
Answer:
derivative of the vector function given = ( -16-22t, 14-36t, -2-16t )
Step-by-step explanation:
given data:
vector function : r(t) = ta*(b+tc)
a = ( 2,-3.4) . b = (-4,5,-1). c = ( -2,-1,5)
to find the derivative of the vector function we will differentiate with respect to x attached below is the detailed solution
Domain: The set of all states Range: The set of all senators (Remember, each state has two senators!) This relation is ✔ not a function . Create your own real-world example of a relation that is a function. Domain: The set of
Answer:
Not a function
Step-by-step explanation:
Question Details
Find the distance between X(-3, 8) and Y (6, -6).
Round answer to the nearest tenth. Pls show work
Answer:
16.64
Step-by-step explanation:
Distance between any two points (x1,y1) and (x2,y2) is given by
Distance = [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]
Given point
X(-3, 8) and Y (6, -6).
The distance XY will be
[tex]XY = \sqrt{(-3-6)^{2} + (8 - (-6)^{2} }\\XY = \sqrt{(-9)^{2} + (8 +6)^{2} }\\XY = \sqrt{81 + 196 }\\XY = \sqrt{277 }\\XY = 16.64[/tex]
Thus, distance between X(-3, 8) and Y (6, -6) is 16.64 , rounded to nearest tenth.
Solve for a
y = ax2 + bx + c
Answer:
Non-answer
Step-by-step explanation: Don't like my answer? Let me know!
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(a*x^2+b*x+c)=0
STEP
1
:
Equation at the end of step 1
y - ax2 - xb - c = 0
STEP
2
:
Solving a Single Variable Equation
2.1 Solve y-ax2-xb-c = 0
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
We shall not handle this type of equations at this time.
f(x) = 3x2 + 5x – 14 Find f(-9 )
Answer:
[tex]\huge\boxed{f(-9) = 184}[/tex]
Step-by-step explanation:
[tex]f(x) = 3x^2 +5x-14[/tex]
Put x = -9
[tex]f(-9) = 3(-9)^2+5(-9)-14\\f(-9) = 3(81) -45-14\\f(-9) = 243-45-14\\f(-9) = 198-14\\f(-9) = 184[/tex]
Steps to solve:
f(-9) = 3(-9)^2 + 5(-9) - 1
~Solve using PEMDAS
f(-9) = 3(81) - 45 - 1
f(-9) = 243 - 45 - 1
f(-9) = 198 - 1
f(-9) = 197
Best of Luck!
All of the following are rational numbers except
-16
1.33
2/3
3.14159...
Answer:
3.14159
Step-by-step explanation:
This number is pi. Pi goes on for millions of digits on end.
Answer:
The answer is pi. Pi goes on forever and irrational nunbers go on forever.
A project has an initial cost of $60,000, expected net cash inflows of $14,000 per year for 9 years, and a cost of capital of 14%. What is the project's IRR? Round your answer to two decimal places.
Answer:
74
Step-by-step explanation:
60,000 + 14,000
ANS 14%
ANSWER: 74
The project's IRR is approximately 13.45%.
We have,
To calculate the project's internal rate of return (IRR), we need to find the discount rate at which the net present value (NPV) of the project's cash flows is equal to zero.
Given:
Initial cost (C0) = $60,000
Net cash inflow per year (CF) = $14,000
Number of years (n) = 9
Cost of capital (r) = 14% = 0.14
To calculate the IRR, set up the equation:
[tex]0 = C0 + (CF / (1 + r)^1) + (CF / (1 + r)^2) + ... + (CF / (1 + r)^n)[/tex]
[tex]0 = 60,000 + (14,000 / (1 + r)^1) + (14,000 / (1 + r)^2) + ... + (14,000 / (1 + r)^9)[/tex]
By using a financial calculator or software, the IRR for this project is found to be approximately 13.45% when rounded to two decimal places.
Therefore,
The project's IRR is approximately 13.45%.
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5 red balls, 2 white balls and 3 blue balls are arranged in a row. If the balls of the same color are not distinguished from each other. How many possible ways can they be ordered?
Answer:
27720
Step-by-step explanation:
So let's assume that in any arrangement we are not able to distinguish the balls having the same colour, so only different orders of the colours involved are counted.
If we number these balls we have 12 different numbers, 3 of which belong to the white balls, 4 belong to the blue balls and the final 5 belong to the red balls. They could be arranged in 12! different ways. Pick any of these arrangements.
The white balls in this arrangement are now ordered because I gave these balls a number. But I specifically stated in the first alinea that we were not interested in all these possible orders of the white balls within a sequence of 12 balls. So we must correct for these orders, there are 3! of these, each one leading to exactly the same visual order of white balls. The other colours lead to a correction of 4! and 5!. Moreover, these corrections are independent of each other. I can change the position of the white balls without interrupting the order of the colours of the remaining balls. So we should divide by the product of 3!,4! and 5!.
Total number of arrangement = 3,628,800
Arrangement based problem:Given that;
Number of red ball = 5
Number of white ball = 2
Number of blur ball = 3
Find:
Total number of arrangement
Computation:
Total number of balls = 5 + 2 + 3
Total number of balls = 10
Total number of arrangement = 10!
Total number of arrangement = 3,628,800
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distinguish between everyday Mathematics and Academic Mathematics
Answer:
Everyday mathematics would include lower-level math skills and comprehension, such as adding 5 cups of flour and 2 cups of sugar to some batter. Academic mathematics would include more complex math skills and comprehension, such as quadratic equations and interval notation.
Step-by-step explanation:
Everyday mathematics would include lower-level math skills and comprehension, such as adding 5 cups of flour and 2 cups of sugar to some batter. Academic mathematics would include more complex math skills and comprehensions, such as quadratic equations and interval notation. With one, you could pick up such skills just by living life. With the other, there is a higher chance that attending an educational institute would bestow such skills and understanding.
Answer:
???
Step-by-step explanation:
???