Answer The formula df = (c – 1) (r – 1) is used to find the degree of freedom – The degree of freedom of the chi-square test is calculated by the formula df = (c – 1) (r – 1), where c represents the column number of cell and r represents the row number of the cell.
t^3=1. What is t, the cube root of 1?
Answer:
1
Step-by-step explanation:
1 cubed is 1 so it only makes sense for t=1
The cube root of 1 is 1. So, t = 1.
Translate the following sentence into an equation. Then, SOLVE the equation: 19 less than w is 76
Answer:
The sentence can be translated into the equation: w - 19 = 76
Step-by-step explanation:
To solve the equation, we can add 19 to both sides:
w - 19 + 19 = 76 + 19
w = 95
So, w = 95 is the solution to the equation.
The total mass of a box and some oranges was 25kg. The total mass of the same box and some apples was 11kg. The mass of the oranges was 3 times the mass of apples
From The total mass of orange and box, the mass of oranges are 2kg and the mass of empty box is 23kg.
Let's use "o" to represent the mass of one orange and "a" to represent the mass of one apple.
We can set up two equations based on the information given:
Box + Oranges = 25 kg (equation 1)
Box + Apples = 11 kg (equation 2)
Oranges = 3 x Apples (equation 3)
We can substitute equation 3 into equation 1 to eliminate "oranges":
Box + 3a = 25 kg
We can substitute equation 3 into equation 2 to eliminate "oranges" again:
Box + a = 11/3 kg
Now we have two equations with two unknowns. We can solve for "Box" and "a" using either substitution or elimination. For example, we can multiply the second equation by 3 and subtract it from the first equation:
Box + 3a = 25
3(Box + a = 11)
-2Box + 2a = 2
Simplifying, we get:
Box - a = -1
We can add this equation to the second equation to get:
2Box = 11 - 1 = 10
So, Box = 5 kg.
Now we can substitute this value back into equation 2 to find "a":
5 + a = 11/3
a = 2/3 kg
Finally, we can use equation 3 to find the mass of the oranges:
Oranges = 3 x Apples = 3 x (2/3) = 2 kg.
Therefore, the mass of the oranges is 2 kg.
The mass of the empty box is the difference between the total mass of the box and the fruit and the mass of the fruit:
Mass of box = Total mass - Mass of fruit
From equation 1, we know that the total mass of the box and the oranges is 25 kg. From part a, we know that the mass of the oranges is 2 kg. Therefore:
Mass of box = 25 kg - 2 kg = 23 kg.
So, the mass of the empty box is 23 kg.
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____The given question is incomplete, the complete question is given below:
The total mass of a box and some oranges was 25kg . The total mass cii N the same box and some apples was 11kg . The mass of the oranges was 3 times the mass of the apples. (a) Find the mass of the oranges.. (b) Find the mass of the empty box.
In a scavenger hunt, Team A collected 4 items more than twice the number of items collected by Team B. Let b represent the number of items collected by Team B. What is an expression that can be used to find the number of items collected by Team A
The expression that represents that number of items collected by Team A is a=2b+4.
Given that in a hunt, two teams collected a number of items for their teams. Now the items collected by team A is 4 more than the twice of the items collected by the team B. Let the items collected by team A be 'a' and the items collected by team B will be 'b'.
Now, team A collected items are 4 more than the doubled value of team B.
The expression that represents the items collected by the second team, that is Team A is:
a=2b+4
Therefore the expression that represents items collected by team A is a=2b+4.
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Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ less than 140.
The probability that a randomly selected adult has an IQ less than 140 is 97.72%.
What is the standard deviation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.
Given that the mean of adults' IQ is μ=100 and the standard deviation is σ=20.
The formula of z-score is z = (X - μ)/σ
Putting the value of μ = 100, σ=20, and X = 140:
z = (140 - 100)/20
z = 40/20
z = 2
From z table, we get the value of z is 0.9772 = 97.72%
P(X<140) = P(z = 2.0) = 97.72%
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Solve [tex]x^{2} -24=10x[/tex]
a cup is boiling water (212 f) is placed to cool in a room whose temperature remains constant at 68 f. suppose the difference between the water temperature and the room temperature is halved every 5 minutes. what is the water temperature in degrees fahrenheit , after 15 minutes
If the difference between the water temperature and the room temperature is halved every 5 minutes, then the water temperature in degrees fahrenheit, after 15 minutes 86 f
If a cup is boiling water (212 f) is placed to cool in a room whose temperature remains constant at 68 f. suppose the difference between the water temperature and the room temperature is halved every 5 minutes .
Temperature can be measured in degree celsius, degree fahrenheit and kelvin. so here the temperature measured in degree fahrenheit
Initially the difference between water and room temperature is,
212 - 68 = 144f
For every 5 minutes the difference of water and room temperature is halved,
After 5 minutes the difference is, 144/2 = 72 f
After 10 minutes the difference is, 72/2 = 36 f
After 15 minutes the difference is, 36/2 = 18 f
So the water temperature in degrees fahrenheit, after 15 minutes will be the sum of room temperature and difference between the temperatures of water and room after 15 minutes and it is given as, 18 f + 68 f = 86 f
Therefore, the water temperature in degrees fahrenheit, after 15 minutes is 86 f.
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Select all of the ways the system of equations can be solved.
9x - 2y = 4
3x+8y=12
A) Multiply the first equation by 4, then add the equations.
B) Multiply the second equation by 3, then add the equations.
C) Multiply the first equation by 3, then add the equations.
D) Multiply the second equation by 3, then subtract the equations.
E) Multiply the first equation by 4, then subtract the equations.
The ways the system of equations 9x - 2y = 43x+8y=12can be solved are:
A) Multiply the first equation by 4, then add the equations.
D) Multiply the second equation by 3, then subtract the equations.
How can the system of equations?From the given equations,9x - 2y = 43x+8y=12we need to use wyas of solving simultaneous equation to solve it.
Then if we Multiply the first equation by 4, thge we can then perform addition to the second equation like
9x - 2y = 4
36x - 8y = 4
3x+8y=12
then if we add to equation 2 we have
39x =12
then we can solve x = 12/39
The same can be done with equation D .
Therefore, option A and D are correct.
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Answer:
Step-by-step explanation:
To solve the system of equations:
9x - 2y = 4 ...(1)
3x + 8y = 12 ...(2)
We can use elimination method by adding or subtracting the equations in a way that one variable is eliminated.
Here are the possible ways to solve the system:
A) Multiply the first equation by 4, then add the equations.
Multiplying the first equation by 4 gives:
36x - 8y = 16
Adding the resulting equation to the second equation gives:
36x - 8y + 3x + 8y = 16 + 12
Simplifying the equation:
39x = 28
x = 28/39
Substituting x in equation (1) gives:
9(28/39) - 2y = 4
Solving for y gives:
y = -155/78
Therefore, the solution is (x,y) = (28/39, -155/78).
B) Multiply the second equation by 3, then add the equations.
Multiplying the second equation by 3 gives:
9x + 24y = 36
Adding the resulting equation to the first equation gives:
9x - 2y + 9x + 24y = 4 + 36
Simplifying the equation:
18x + 22y = 40
Dividing the equation by 2 gives:
9x + 11y = 20
Substituting 9x from equation (2) gives:
3x + 8y = 12
Solving for x gives:
x = (12 - 8y)/3
Substituting x in equation (3) gives:
9[(12-8y)/3] + 11y = 20
Solving for y gives:
y = 16/39
Substituting y in equation (2) gives:
3x + 8(16/39) = 12
Solving for x gives:
x = 28/39
Therefore, the solution is (x,y) = (28/39, 16/39).
C) Multiply the first equation by 3, then add the equations.
Multiplying the first equation by 3 gives:
27x - 6y = 12
Adding the resulting equation to the second equation gives:
27x - 6y + 3x + 8y = 12 + 12
Simplifying the equation:
30x = 24
x = 4/5
Substituting x in equation (1) gives:
9(4/5) - 2y = 4
Solving for y gives:
y = -23/10
Therefore, the solution is (x,y) = (4/5, -23/10).
D) Multiply the second equation by 3, then subtract the equations.
Multiplying the second equation by 3 gives:
9x + 24y = 36
Subtracting the second equation from the first equation gives:
6x - 26y = -8
Solving for x gives:
x = (26y - 8)/6
Substituting x in equation (2) gives:
3[(26y-8)/6] + 8y = 12
Solving for y gives:
y = 16/39
Substituting y in equation (1) gives:
9x - 2(16/39) = 4
Solving for x gives:
x = 28/39
Therefore, the solution is (x,y) = (28/39, 16/39).
Jerome runs a clothing store. To mark their anniversary, they have a promotional offer for their customers. He has kept a box with five 10% discount coupons, eight 15% discount coupons, seven 20% discount coupons, six 25% discount coupons, and four 40% discount coupons. Every 30 minutes, one customer gets to draw a discount coupon from the box, use it on their purchase, and then place the coupon back into the box. Jerome predicts that when a customer draws a discount coupon from box without looking, the customer will draw a 10% discount coupon one-sixth of the time.
Yes, Jerome's prediction is true that customers will draw a 10% discount coupon one-sixth of the time.
What is probability?The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur.
Yes, Jeremore is correct.
It is given that a box has
Number of 10% discount coupons = 5
Number of 15% discount coupons = 8
Number of 20% discount coupons = 7
Number of 25% discount coupons = 6
Number of 40% discount coupons = 4.
The total coupons in the box = 5+8+7+6+4 = 30.
So, the probability that the customer will get a 10% coupon is
Number of 10% coupons/ Total coupons = 5/30= 1/6.
So, Jerome's prediction is true that customers will draw a 10% discount coupon one-sixth of the time.
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HELP!!! DUE TONIGHT!
Answer:
33.912
Step-by-step explanation:
U have to multiply 10.8 x 3.14 to get the answer
Hopefully this helps and if it did pls mark me as the brainlest
Fill in the table using this function rule.
y=2x-4
3
5
7
9
y
Answer:12
16
20
44 these are the answers
Step-by-step explanation:
Two years ago, Rita was 3 times as old as Cheryl. In 3 years, Rita will be twice as old as Cheryl. How old are the girls now?
The current age of Rita is 17 years and Cheryl is 7 years respectively, according to mentioned data.
Let us assume Rita's present age be x and Cheryl's age be y.
Rita's age two years ago = 3 × Cheryl's age two years ago
x - 2 = 3 (y - 2) - equation 1
Rita's age after three years = 3 × Cheryl's age after three years
x + 3 = 2 (y + 3) - equation 2
Solving equation 1
x - 2 = 3y - 6
x = 3y - 6 + 2
x = 3y - 4
Solving equation 2
x + 3 = 2y + 6
x = 2y + 6 - 3
x = 2y + 3
Keep the value of x from equation 2 in equation 1
2y + 3 = 3y - 4
Rearranging the equation
3y - 2y = 3 + 4
y = 7
Keep the value of y in equation x = 2y + 3
x = 2×7 + 3
x = 14 + 3
x = 17
So, Cheryl's and Rita's age is 7 and 17 years respectively.
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Line f has a slope of 8 Line g is parallel to line f. What is the slope of line g?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
if it's parallel isn't the slope the same?
2. Two observers are 600 ft apart on opposite sides of a flagpole. The angles of elevation from the
observers to the top of the pole are 19 and 21°. Find the height of the flagpole. Round to the nearest
foot.
After finding the sides of the triangle using sine law, we found that the height of the flagpole is found to be 110.89 ft.
What is meant by sine law?
The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.
The side or unknown angle of an oblique triangle is found using the law of sine. Any triangle that is not a right triangle is referred to as an oblique triangle. At least two angles and their corresponding side measurements should be used at once for the sine law to function.
Given,
The distance between two observers = 600 ft
The angle of elevation of the first observer = 19°
The angle of elevation of the second observer = 21°
We are asked to find the height of the flagpole.
The figure is given below.
There are 2 right triangles, ΔABD and ΔCBD.
We will start with ΔABC.
∠B = 180 - (∠A+∠C) = 180 - (21+19) = 140
Now using sine law, we can find lengths a and b.
According to sine law,
b/sin21 = a/sin 19 = 600/sin 140
From this,
b/sin 21 = 600/sin 140
b/0.36 = 933.43
b = 336.03ft
Also,
a/sin 19 = 600/sin 140
a/0.33 = 933.43
a = 308.03ft
Now using ΔABD,
sin 21 =h/a
0.36 = h/308.03
h = 110.89 ft
Therefore after finding the sides of the triangle using sine law, we found that the height of the flagpole is found to be 110.89 ft.
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Subtract. Write the answer in standard form.
(13 + 9i) - (1-11) ?
Answer:
[tex]10^{1}[/tex]
Step-by-step explanation:
13 + 9 - 1 - 11
Add 13 and 9 to get 22.
22 - 1 - 11
Subtract 1 from 22 to get 21.
21 - 11
Subtract 11 from 21 to get 10.
10
How much is in that can?
A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. Following are the amounts measured in a simple random sample of eight cans. 11. 96 12. 10 12. 04 12. 13 11. 98 12. 05 11. 91 12. 03
B: If appropriate, perform a hypothesis test to determine whether the mean volume differs from 12 ounces. Use the a = 0. 05 level of significance. What do you conclude?
The calculated test statistic (t = -0.527) is not less than -1.894 or greater than 1.894.
A hypothesis test can be performed to determine whether the mean volume of beverage in the cans differs from 12 ounces using the following steps:
(1)State the null hypothesis and the alternative hypothesis.
The null hypothesis is that the mean volume of beverage in the cans is equal to 12 ounces (μ = 12). The alternative hypothesis is that the mean volume of beverage in the cans is not equal to 12 ounces (μ ≠ 12).
(2)Select a level of significance (α).
In this case, the level of significance is α = 0.05.
(3)Calculate the sample mean and standard deviation.
The sample mean can be calculated as:
mean = (11.96 + 12.10 + 12.04 + 12.13 + 11.98 + 12.05 + 11.91 + 12.03) / 8 = 12.04375
The sample standard deviation can be calculated as:
[tex]s=\sqrt((11.96 - 12.04375)^2 + (12.10 - 12.04375)^2 + (12.04 - 12.04375)^2 + (12.13 - 12.04375)^2 + (11.98 - 12.04375)^2 + (12.05 - 12.04375)^2 + (11.91 - 12.04375)^2 + (12.03 - 12.04375)^2) / (8 - 1))[/tex] [tex]s=0.277764079[/tex]
(4)Calculate the test statistic.
The test statistic can be calculated as:
t = (mean - 12) / (s / sqrt(8))
(5)Determine the critical value(s) from the t-distribution table with 7 degrees of freedom (8 - 1).
At a significance level of 0.05 and 7 degrees of freedom, the critical value from the t-distribution table is approximately ±1.894.
(6)Compare the test statistic to the critical value(s).
If the test statistic is less than -1.894 or greater than 1.894, then the null hypothesis can be rejected. Otherwise, the null hypothesis cannot be rejected.
(7)Conclude the hypothesis test.
In this case, the calculated test statistic (t = -0.527) is not less than -1.894 or greater than 1.894. Therefore, we cannot reject the null hypothesis. This means that there is not enough evidence to conclude that the mean volume of beverage in the cans is different from 12 ounces.
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PLEASE HELP WILL GIVE BRAINLIEST!!!!!
please help with this proof image attached
Step-by-step explanation:
solve like this.........
A piece of wood is cut into 3 pieces A, B and C, in the ratio 2 : 3:5. If C
is longer than B by 8 cm, find the length of the stick.
Answer:
18 cm
Step-by-step explanation:
Let's assume that the length of the stick is x cm.
Then, the lengths of pieces A, B and C would be 2x/10 cm, 3x/10 cm, and 5x/10 cm respectively.
Since C is longer than B by 8 cm, the length of C is 3x/10 + 8 cm, and the length of B is 3x/10 cm.
Therefore, the total length of the stick would be:
x = 2x/10 + 3x/10 + (3x/10 + 8)
x = 10x/10 + 8
x = 10 + 8
x = 18 cm
So, the length of the stick is 18 cm.
Answer: 20 cm
Step-by-step explanation:
create an equation.
2x : 3x : 5x
We are also told C is longer than B by 8 cm. So,
A : x : x+8
If 5x = x+8, solve for this: 4x = 8 so x =2.
Now, we can plug back in the original values.
2(2) + 3(2) + 5(2) = 20.
the stick is 20 centimeters long.
Dr. Drew consumes 16 ounces of a caffeinated beverage first thing in the morning. Caffeine wears off at a rate of approximately 10.9% an hour. If you were to construct an exponential model to calculate the amount of caffeine left in Dr. Drew’s system after any number of hours, what would the initial value be?
On solving the provided question, we can say that in a day, the expression will be 16*24 of 10.9% = 384 od 10.9% = 41.856
What is expression?In mathematics, it is pοssible to multiply, divide, add, or remove. The construction of an expression is as follows: Expressiοn, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expressiοn (such as addition, subtraction, multiplicatiοn or division etc.) Expressions and phrases can be cοntrasted.
Any mathematical statement with variables, numbers, and an arithmetic οperation between them is called an expression or an algebraic expression. Fοr instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expressiοn, all of which are separated by the arithmetic sign +.
Dr. Drew cοnsumes 16 ounces of a caffeinated beverage first thing in the mοrning
Caffeine wears off at a rate of apprοximately 10.9% an hour.
in a day, the expression will be 16*24 of 10.9% = 384 od 10.9% = 41.856
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if the ages of ten randomly selected students are totaled then divided by ten, the result is known as: group of answer choices the median. the range. the standard deviation. the mean.
The mean, median, range, and standard deviation are all measures that can be used to calculate information about a set of numbers, such as the ages of ten randomly selected students.
The mean is the result of totaling the ages of ten randomly selected students and then dividing by ten. This calculation is also known as the average. To calculate the mean, first add up all of the ages, which gives us the sum. Then divide the sum by the number of students, which in this case is 10. The result is the mean, or the average age of the group.
The median is the middle value of a group of numbers. To calculate the median, first put the ages in order from least to greatest. Then find the middle value. If there is an even number of values, then the median is the average of the two middle values.
The range is the difference between the highest and lowest values. To calculate the range, just subtract the smallest number from the largest.
The standard deviation is a measure of variation in a set of numbers. To calculate standard deviation, first subtract the mean from each value, then square each of those differences. Add up these squared differences and divide by the number of values. Then take the square root of that number. The result is the standard deviation.
The mean, median, range, and standard deviation are all measures that can be used to calculate information about a set of numbers, such as the ages of ten randomly selected students.
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Which of these measures is the most precise?
44.4
mm
44
mm
44.4
cm
44
cm
The most precise of the measures given 44mm. Hence option B is the correct answer.
How is this determined?The closeness of measured values is referred to as precision. We require the lowest scale attainable to measure in order to measure a value accurately.
Different scales of measures are presented to us. Any of these scales can be used to calculate the distance between two places. But we need to utilize the lowest scale in order to acquire an exact measurement. The millimetre (mm) is the lowest used scale in the options, making the measurement
Thus for the given options the smallest and the precise measure is obtained at 44mm.
Hence option B is the correct answer.
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help! what do i do hbvgvgvg
write a two column proof. fill in the missing reasons for the correct statements. given: ABCD is a rectangle. L, M, N, and P are the midpoints of AB, BC, CD, and DA respectively. prove: NM≈PL
The properties of midpoints and rectangles to show that a quadrilateral with vertices at the midpoints of the sides of a rectangle is a rhombus.
In this problem, we will prove that a quadrilateral with vertices at the midpoints of the sides of a rectangle is a rhombus. This is an important result in geometry and is often used in solving more complex problems.
Let us consider a rectangle ABCD with sides AB, BC, CD, and DA. Let P, Q, R, and S be the midpoints of the sides AB, BC, CD, and DA, respectively.
We need to prove that PQRS is a rhombus, which means we need to show that all sides of PQRS are equal.
First, we can observe that PQ and SR are parallel to AD, and QR and PS are parallel to AB. This is because P and S are midpoints of AB and AD, and Q and R are midpoints of BC and CD, respectively. Therefore, PQ and SR are both half the length of AD, and QR and PS are both half the length of AB.
Next, we can use the fact that the opposite sides of a rectangle are equal. This means that AD = BC and AB = CD. Therefore, PQ and SR have the same length, as they are both half of AD. Similarly, QR and PS have the same length, as they are both half of AB.
Thus, we have shown that all sides of PQRS are equal, which means that PQRS is a rhombus.
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Complete Question:
ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.
what is the discriminant of 4x^2+4x-3=0
Answer:
-47
Step-by-step explanation:
The discriminant of a quadratic is the expression inside the radical of the quadratic formula.
b^2−4 (ac)
Substitute in the values of a, b, and c.
1^2 − 4 (4 x 3)
Evaluate the result to find the discriminant.
Simplify each term.
One to any power is one.
1 − 4 (4 x 3)
Multiply
−4 (4 x 3)
Subtract 48 from 1.
-47
Question 1
Kylie and her family need to buy a new refrigerator. The space available for the refrigerator measures 37 in. wide, 72 in. high, and 24 in. deep.
Which size refrigerator would be the BEST fit for the available space?
70,000 in ³
000
A
B
C
69,936 in.³
53,900 in.3
D 42,000 in.³
Answer:
Answer is very unclear, but I think it is C.
Step-by-step explanation:
The best fit for the available space would most likely be 53,900 in.³
point a has coordinates (-4,2) point a is translated to the point with coordinates (-1,-3) find as a column vector the vector that describes this translation
Answer:
To solve it, you need to use vectors. Let me show you how.
To find the vector that describes the translation, we need to subtract the coordinates of point A from the coordinates of the translated point. Let the vector be v. Then we have:
v = (-1, -3) - (-4, 2)
v = (-1 + 4, -3 - 2)
v = (3, -5)
To write this vector as a column vector, we write it vertically with square brackets. So we have:
v = [3
-5]
Therefore, the vector that describes the translation is [3
-5].
Step-by-step explanation:
Use a 10-by-10 grid to solve.
What is 12% of 150?
Unit 4 Probability and Stats Test
What is the P(A and B) given that P(A) = 0.42, P(B) = 0.14, and P(A or B) = 0.47
The value of the probability is 0.09
How to evaluate the probabilityfrom the question, we have the following parameters that can be used in our computation:
P(A) = 0.42, P(B) = 0.14, and P(A or B) = 0.47
Using the above as a guide, we have the following:
P(A and B) = P(A) + P(B) - P(A or B)
substitute the known values in the above equation, so, we have the following representation
P(A and B) = 0.14 + 0.42 - 0.47
Evaluate the expression
P(A and B) = 0.09
Hence, teh probability is 0.09
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about 45 of every 300 apples picked at the newbury apple orchard are rotten, if 3560 apples were picked one week, about how many apples were rotten?
about 45 of every 300 apples picked at the Newbury apple orchard are rotten, if 3560 apples were picked one week, about 534 many apples were rotten. We drew this answer with the help of algebra,
45/300 = x/3560
x = 3560*(45/300) = 534
At the same rate, about 534 rotten apples can be expected in the week's pickings.
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions. In algebra, we use numbers like 2, −7, 0.068 etc., which have a definite or fixed value. In algebra we use variables like x, y, and z along with numbers.
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82.6>-11.8d
What is d?
Answer:
d > - 7
Step-by-step explanation:
Swap the sides :
- 11.8d < 82.6
Then, divide both sides of the inequality by -11.8 and flip the inequality sign
