Answer:
15 pints of oil
Step-by-step explanation:
50 + 16x = 80 + 14x = 15
Hope this helps you!
Let X denote the random variable that gives the sum of the faces that fall uppermost when two fair dice are rolled. Find P(X
The probability is 121 or 8.33 %.
To identify the P(x=4), we must create a table for better understanding;
+ 1 2 3 4 5 6
1 (1,1) = 2 (2,1) = 3 (3,1) = 4 (4,1) = 5 (5,1) = 6 (6,1) = 7
2 (1,2) = 3 (2,2) = 4 (3,2) = 5 (4,2) = 6 (5,2) = 7 (6,2) = 8
3 (1,3) = 4 (2,3) = 5 (3,3) = 6 (4,3) = 7 (5,3) = 8 (6,3) = 9
4 (1,4) = 5 (2,4) = 6 (3,4) = 7 (4,4) = 8 (5,4) = 9 (6,4) = 10
5 (1,5) = 6 (2,5) = 7 (3,5) = 8 (4,5) = 9 (5,5) = 10 (6,5) = 11
6 (1,6) = 7 (2,6) = 8 (3,6) = 9 (4,6) = 10 (5,6) = 11 (6,6) =12
Based on the table, there are 3 numbers of ways that P(x=4). That is (1,3) , (2,2), and (3,1) out of 36 outcomes (6x6 = 36). Therefore, the probability of an event is: 363, Reduce to the lowest term: is 121 or 8.33 %.
Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. The probability of an event is a number between 0 and 1, with approximately 0 indicating the improbability of the event and 1 indicating certainty.
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The area of a rectangle is 99 square units. Its width measures 9 units. Find the length of its diagonal. Round to the nearest tenth of a unit.
Answer:
14.2
Step-by-step explanation: 99/9=11
11^2 + 9^2 =c^2
121 + 81 = c^2
The square root of 202 = c^2
14.2126704=14.2
14.2 =c
Answer:
14.2 is correct
Step-by-step explanation:
creds to guy
By multiplying 5/3^4 by _________, we get 5^4
The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:
(5/3^4) * x = 5^4
To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:
5^4 = 5 * 5 * 5 * 5 = 625
Now, let's simplify the left side:
5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81
Now we have:
(5/81) * x = 625
To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:
(81/5) * (5/81) * x = (81/5) * 625
On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:
1 * x = (81/5) * 625
Simplifying the right side:
(81/5) * 625 = 13125
Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
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when 6 is added to 4 times a number the result is 50 . what is the number
Answer:
11
Step-by-step explanation:
Let the missing number be x
According to the question,
6 + 4x = 50
4x = 50-6
4x = 44
x = 44/4
x = 11
Verification:-
LHS:
6 + 4(11)
= 6 + 44
=50
RHS:
50
LHS = RHS
What is the x-intercept?
Answer:
y = 0.
Step-by-step explanation:
The x intercept is the point where the line crosses the x axis. At this point y = 0. ... To find the x intercept set y = 0.
in a randomsample, 10 students were asked to compute the distance they travel one way to school to the nearest tenth of a mile. the data is listed below. compute the coefficient of variation.
The mean, variance and the standard deviation for the distance travelled by 10 students is computed as-
Mean = 3.12; standard deviation = 1.8232; variance = 3.324
Describe the term standard deviation?The term "standard deviation" (or "σ") applies to a measurement of the data's dispersion from the mean. A low standard deviation denotes that the data are grouped around the mean, whereas a large standard deviation implies that the data are more dispersed.Total students n = 10 .
Given the information, 1, 5, 2, 3, 5, 4, 8, 1, 2, 2, 5, 1.5, and 0.8
To determine the mean, we must first add up all the information provided and divide it by the number of students.
X = 1.1 + 5.2 + 3.6 + 5.0 + 4.8 + 1.8 + 2.2 + 5.2 + 1.5 + 0.8
X = 31.2
Mean = X/n
Mean = 31.2/10
Mean = 3.12
Now the standard deviation is estimated as-
S = √∑x² - [(∑x)²/n] / (n-1)
Putting the values-
s = 1.8232
standard deviation = 1.8232
The variance is estimated by -
variance = S²
S² = 1.8232²
variance = 3.324
Thus, the mean, variance and the standard deviation for the distance travelled by 10 students is computed.
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The complete question is-
In a random sample, 10 students were asked to compute the distance they travel one way to school to the nearest tenth of a mile. Compute the sample mean, standard mean, standard deviation and variance of the data:1.1 5.2 3.6 5.0 4.8 1.8 2.2 5.2 1.5 0.8 Mean = ?, Variance = ?; Standard Deviation= ?
TRUE/FALSE. the number of degrees of freedom in cross-tabulation data with three rows and four columns is 12.
FALSE. The number of degrees of freedom in cross-tabulation data is calculated by subtracting 1 from the product of the number of rows and columns.
Therefore, in this case, the number of degrees of freedom would be (3-1) x (4-1) = 6.
Degrees of freedom refer to the number of independent pieces of information in a data set, which can be used to calculate statistical significance and test hypotheses.
In cross-tabulation, degrees of freedom indicate the number of cells in the contingency table that are not predetermined by the row and column totals.
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A psychologist conducts a study and finds that d = -63. This effect size would most likely be described as small medium large an error because d cannot be negative
d)An error because d cannot be negative.
According to the data, effect sizes such as Cohen's d typically range from 0 to positive values, and negative values do not make sense in this context. Therefore, an effect size of d = -63 is likely an error or a typo.
Assuming that the correct effect size is a positive value, the magnitude of the effect size can be described as follows based on Cohen's convention:
A small effect size is around d = 0.2A medium effect size is around d = 0.5A large effect size is around d = 0.8 or higherHowever, it's important to note that the interpretation of effect sizes also depends on the context and the specific field of study.
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The value of the test statistic is compared with a(n) _______________ in order to decide whether the null hypothesis can be rejected.
α
p-value
β
critical value
The answer is Critical value.
Lets try to answer this :
A critical value is a value used to determine whether or not to reject a null hypothesis when testing a hypothesis. A critical value is also referred to as a cut-off point or rejection region. A critical value is a point on a scale that separates the rejection area from the acceptance area in a statistical hypothesis test.
A t-test is a statistical hypothesis test that involves comparing the mean of two populations. A t-table is used to look up critical values for a t-test. When the t-value is computed, it can be compared to the critical value to determine whether or not to reject the null hypothesis.
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Find the volume of the largest rectangular box with edges parallel to the axes that can be inscribed in the ellipsoid
(x^2/4) + (y^2/64) + (z^2/49) = 1
Hint: By symmetry, you can restrict your attention to the first octant (where x,y,z=0), and assume your volume has the form V=8xyz. Then arguing by symmetry, you need only look for points which achieve the maximum which lie in the first octant.
What is the maximum volume?
The maximum volume of the largest rectangular box that can be inscribed in the ellipsoid can be calculated by finding the x, y, and z coordinates in the first octant that satisfy the equation (x^2/4) + (y^2/64) + (z^2/49) = 1.
Since the box must have edges parallel to the axes, the coordinates will also be the lengths of the box's edges. From the equation, we get the x coordinate to be 2, the y coordinate to be 8, and the z coordinate to be 7.
The volume of the box is the product of its edges, so the maximum volume of the box is V = 8xyz = 8 * 2 * 8 * 7 = 896.
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Is the coldest temperature represented by a positive or negative number? *
Positive
Negative
Select all true statements about the number 3 600
Answer:
we need the statements
A local restaurant advertises that the mode cost of their most popular meals is $8. If the costs of their most popular meals are $7, $8, $8, $15, $15, $16, $17, $18, and $20, which word or phrase best describes this kind of advertising?
accurate
inaccurate
inaccurate and misleading
accurate, but misleading
The word or phrase no which best describes this kind of advertising is inaccurate.
The correct answer option is option B
What is mode?Mode refers to a statistical data which occurs most in a given set of data.
Advertisement can be defined as a commercial solicitation by a producer to the public in order to buy his product.
Given data:
$7, $8, $8, $15, $15, $16, $17, $18, and $20
$8 appeared twice$15 appeared twiceHence, it can be said that the mode of the most popular meals is not $8
Therefore, using $8 as a kind of advertisement for the mode of most popular meals is inaccurate
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A lottery game requires that you pick 7 different numbers from 1 to 70. If you pick all 7 winning numbers, you win the jackpot. If you pick 6 of the 7 numbers correctly, you win $200 comma 000. In how many ways can you pick exactly 6 of the 7 winning numbers without regard to order? There are____ways to pick exactly 6 of the 7 winning numbers without regard to order.
There are only one way to pick exactly 6 of the 7 winning numbers without regard to order.
There are "1 to 70 numbers, choose 7 " or 70C7 ways to pick 7 correctly.
AND
you must also pick 1 wrong number. That wrong number has to be
different from any of the 7 correct numbers, and so there are
40-6 or 34 wrong numbers you could have picked. That's 34 wrong
numbers, choose 1 or 34C1. Since AND means to multiply, the
numerator is 6C5 X 34C1=204
The denominator is the same 3838380 as in part (A)
So the desired probability is 204 / 38380 = 17 / 319865.
However that's just the probability of winning the $10000.
The words "probability of winning" could be taken as the
probability of winning either $1,000,000 OR $10,000. So
P(winning $1,000,000 OR winning $10,000) and since
"OR" means "ADD", we add the probability found in part A,
so the correct answer is 1 / 38380 + 204 / 38380 = 205 / 3838380
=41 / 767676,
the probability of winning a million or ten thousand.
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HELP, EXTRA POINTS AND BRAINIEST UMM DONT GUESS AND "NO NO NOOO LINKS" ty
Answer:
236.3 feet squared.
Step-by-step explanation:
Base Surface Area = 8 squared
= 64 feet squared
Lateral Surface Area =
2×8× √
( 8 )2 + 102
2
= 172.3 feet sqaured
Total Surface Area = 236.3 feet squared
Please brainliest! I worked so hard!
On a map of the Thunderbird Country Club golf course, 1.5 inches equals 45 yards. How long is the 17th hole if the map shows 8.5 inches?
The 17th hole would be 255 yards long.
What are ratio and proportion?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
hole = c yards
1.5 / 40 = 8.5 /c
1.5 * c = 45 * 8.5
1.5 * c = 382.5
c = 255 yards
Hence, the 17th hole would be 255 yards long.
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PLEASE JUST HELP ME FOR I HAVE BEEN TRYING TO GET THE ANSWER FOR THIS FOR HOURS
Answer:
17) A. 180
18) B. 234
Step-by-step explanation:
We find the area of each square we have 2 of each so
2(8*3)+ 2(8*6) + 2(3*6)=180
18)
(9*9)*2 +(2*9)*4=234
basically
(9*9)+(9*9)+ (2*9)+ (2*9)+ (2*9)+ (2*9)=234
5x + 7y = 5 10x + 14y = 10 solve by elimination
The answer is:
x= 46/5
y= 5/7
Find the midpoint of AC is at -2 and C is at 3 on a number line
The value of midpoint of AC will be 0.5.
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
Point A is at - 2 and C is at 3 on the number line.
Now,
Since, Point A is at - 2 and C is at 3 on the number line.
Hence, The midpoint of AC = (- 2 + 3 ) / 2
= 1/2
= 0.5
Thus, The midpoint of AC = 0.5
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The probability that Dan wins in a raffle is given by the expression p. Write down an expression for the probability that Dan does not win
If the probability of Dan winning is 'p', then the probability that he does not win is ' 1-p' .
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. The probability of a event happening and the same event not happening is 1 or 100%.
Let Dan winning in a raffle is Event A.
Let Dan not winning in a raffle is Event B.
Probability of Dan winning + Probability of not winning = 1
p + P(B) = 1
P(B) = 1 - p
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Algebra
Find the value of x and y
(3x-y, 2) =(2, x+y)
The value of x and y in the algebra (3x - y, 2) = (2, x + y) are 1 and 1 respectively.
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Given the algebra:
(3x - y, 2) = (2, x + y)
Therefore, equation:
3x - y = 2 (1)
Also:
x + y = 2 (2)
From both equations, solving simultaneously:
x = 1, y = 1
The value of x and y are 1 and 1 respectively.
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find the measurement of angle 6
Answer:
58 degrees
Step-by-step explanation:
first find x
5x + 137 = -4x +110
add 4x to both sides
9x + 137 = 110
subtract 137 from both sides
9x = -27
divide both sides by 9
x = -3
that angle is 122
since angle 6 is supplementary to that angle they add up to 180
180 - 122 = 58
angle 6 is 58 degrees
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A company policy requires that, for every 30 employees, there must be 3 supervisors. If there are 282 supervisors at the company, how many employees does the company have?.
The total number of employees are 2820
What is multiplication?
A mathematical expression that specifies the objects to be multiplied, known as a factor, produces a product. One of the four basic mathematical operations of arithmetic (the others being addition, subtraction, and division) is juxtaposition. On computers, this operation is denoted by an asterisk
We are given that,
A company policy requires that, for every 30 employees, there must be 3 supervisors
Hence it means that for 10 employees there must be 1 supervisor
And if the same company have 282 supervisors
And each supervisor must have 10 employees we get
282*10 =2820 employees
Hence the company must have 2820 employees
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Dan is buying turkey cutlets for $2.69 per pound. The package weighs 4 pounds, 8 ounces.
How much will the cutlets cost?
if I did it right then it's $32.38.
Helen and Stephanie participated in the Christmas bird count. Helen counted four less than twice the number of birds that Stephanie counted. If c represents the number of birds Stephanie counted, which of the following expressions gives the number of birds that Helen counted? Provide your answer below:
The expression that gives the number of birds that Helen counted is: 2c - 4The correct answer is: 2c - 4.
To determine the expression that gives the number of birds that Helen counted, we need to consider the given information that Helen counted four less than twice the number of birds that Stephanie counted.
Let's break down the problem step by step:
Stephanie's count: c
Twice the number of birds Stephanie counted: 2c
Four less than twice the number of birds Stephanie counted: 2c - 4
Therefore, the expression that gives the number of birds that Helen counted is:
2c - 4
So, the correct answer is: 2c - 4.
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Slope intercept of (-2,2) (0,-2)
Answer:
-4/2
Step-by-step explanation:
Sarah says “if you subtract 11 from my number and multiply the difference by -3,the result is -36. What is Sara’s number
Answer:
n = 23
Step-by-step explanation:
Let Sara's number be n. Then -3(n - 11) = -36
Solve for n - 11 by dividing both sides by -3: n - 11 = 12.
Adding 11 to both sides yields n = 23
Answer:
i believe that the correct answer is -1
Find the least common multiple of 8 and 6
Answer:
8:, 16, 24, 32, 40, So 24 is the least common multiple
6:, 12, 18, 24, 30, 36 24 is the least common multiple
Step-by-step explanation:
Answer:
2,1 can go in 6 and 8 I think at least sorry if it's not right
Dylan has a square piece of metal that measures 17 inches on each side. He cuts the metal along the diagonal, forming two right triangles. What is the length of the hypotenuse of each right triangle to the nearest tenth of an inch?
Answer:
24 Inch
Step-by-step explanation:
When the square piece of metal is cut along the diagonal, it forms two right triangles where each of the right triangle has legs of 17 inches.
To determine the length of the hypotenuse, we use the Pythagorean Theorem.
\(\text{Pythagoras Theorem}: Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=17^2+17^2\\Hypotenuse^2=289+289\\Hypotenuse^2=578\\Hypotenuse=\sqrt{578} \\=24.04\\\approx 24$ inch ( to the nearest tenth of an inch)\)
Answer:
24 square inches
Step-by-step explanation:
The height h (in feet) of a projectile shot up into the air, at time t (in seconds) is given by the formula h = −16t2 + 128t. Find the time t required for the projectile to return to its starting point
Given:
The height of the projectile shooting up into the air is given as,
\(h\text{ = -16t}^2+128t\)Required:
The time t required for the projectile to return to its starting position.
Explanation:
When the projectile starts from its initial position and comes back to the same position then the height becomes zero.
Equating the given equation to zero.
\(\begin{gathered} -16t^2+\text{ 128t = 0} \\ \end{gathered}\)Calculating the roots of the given quadratic equation.
\(\begin{gathered} 16t^2-128t\text{ = 0} \\ t(16t-128)\text{ = 0} \end{gathered}\)On simplifying further,
\(\begin{gathered} t\text{ = 0 or 16t - 128 = 0} \\ t\text{ = 0 or t = }\frac{128}{16} \\ t\text{ = 0 or t = 8} \end{gathered}\)Therefore,
At t = 0 seconds, the projectile was shot into the air. After 8 seconds the projectile returned back to its original position.
Answer:
Thus the time taken by projectile to return back to its starting position is 8 seconds.