Answer:
A
Step-by-step explanation:
V= BxHxL divided by 2
6x9x21= 1,134
divided by 2 equals 567yd
Answer:
A) 567 yd^3
Step-by-step explanation:
If you need help with formulas you could always look them up. Like triangular prism volume formula
For each representation below, decide if it is a function. justify your answer. ( I literally don’t understand this please help, THANK YOU!:)
Answer:The Answer is Answer is B
how many possibilities are there for a four digit pin where no digit is repeated?
The total number of possibilities for four digit pin with the condition of no digit is repeated is equal to 5040.
Total number of digit used to form pin = 4
Condition is : No digit is repeated.
Number of digits are :
( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 )
Total digits are = 10
Number of possibilities to form four digit pin with no digit repeated
= ¹⁰P₄
= ( 10! ) / ( 10 - 4 )!
= ( 10 × 9 × 8 × 7 × 6! ) / 6!
= 10 × 9 × 8 × 7
= 5040
Therefore, the total number of possibilities to form four digit pin with the given condition is equal to 5040.
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A carnival ride is in the shape of a wheel with a radius of 25 feet. The wheel has 20 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit. (10 points)
Answer:
Answers: (to the nearest hundredth)
Between two cars,
Central angle = 0.39 radians (or 71.4°)
Arc length = 7.85 ft
Area of a sector = 78.54 ft²
Step-by-step explanation:
40 POINTS MATCH THEM PLS
a swimming pool in the shape of a rectangular prism has dimensions of 16 feet by 12.5 feet by 5 feet. what is the maximum amount of water that the pool can hold?
The maximum amount of water that the pool can hold is 1000 cubic feet.
To find the maximum amount of water that the rectangular prism swimming pool can hold, we need to calculate its volume.
The volume of a rectangular prism is given by:
V = l x w x h
where l is the length, w is the width, and h is the height of the prism.
Given the dimensions of the swimming pool, we have:
l = 16 feet
w = 12.5 feet
h = 5 feet
Therefore, the volume of the swimming pool is:
V = l x w x h
V = 16 feet x 12.5 feet x 5 feet
V = 1000 cubic feet
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the weights of oranges growing in an orchard are normally distributed with a mean weight of 8 oz. and a standard deviation of 2 oz. from a batch of 1400 oranges, how many would be expected to weigh more than 4 oz. to the nearest whole number? 1) 970 2) 32 3) 1368 4) 1295
The number of oranges that are expected to weigh more than 4 oz is:
1400 - (1400 × 0.0228)≈ 1368.
The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.
From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.
\(z = (x - μ) / σ\)
Wherez is the Z-score of the given data point x is the data point
μ is the mean weight of the oranges
σ is the standard deviation
Now, let's plug in the given values.
\(z = (4 - 8) / 2= -2\)
The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.
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there are 800 seats in the varsity theater. during regular preformances, all seats cost $12 each. It costs the owner $275 to pay his preformers for each show. a: write an expression that could predict the owners profit if "n" people buy tickets for a preformance b: if the profit is $1,213, how many people attend? c: If the same number of people attended but the owner's expenses changed to $375, would the profit increase or decrease and by how much?
Answer:
The correct answers are the following:
A) P=12n-275
B) 124
C) Decrease by $100
Step-by-step explanation:
A) P=12n-275 - Each person (n) pays $12, then the cost/expense ($275) is subtracted from the income to get the profit.
B) 1,213=12n-275 - Plug in the value for P ($1,213).
1,488=12n - Add $275 to both sides.
124=n - Divide both sides by $12.
n=124 - This the number (n) of people that attended.
C) P=12n-375 - Change the value for expense to $375.
P=12(124)-375 - Plug in the value for n (124).
P=1488-375 - Simplify and find the difference.
P=1,113 - This is your profit.
1,113-1,213=-100 - $100 reduction/decrease of profit (or -$100 to profit)
Hope this helps!
HEYS GUYS ILL GIVE OUT BRAINLIEST I PROMISE!!!!!
THANKS SO MUCH
Step-by-step explanation:
You will do 7+4+3 Bob's money is 7/14×268/1
Fred's money is 4/14×268/1
Geo's money is 3/14×268/1
When you get your answer in all add them all up
Alvin wants to know what his average paddling rate was for a canoe trip to a campsite. On the way there it took him 9 hours against a river current of 3 km/ hr. On the way back, the same distance took him 4 hours with the same 3 km/hr current. Let r = Alvin's average paddling rate.
Therefore, Alvin's average paddling rate for a canoe trip to a campsite was 6 km/hr
Let's find out Alvin's average paddling rate for a canoe trip to a campsite.The distance Alvin paddled on the way to the campsite is the same as on the way back since he travelled to the same place and back to his initial location.
The rate at which Alvin paddled to the campsite is given by the relation;
r - 3 = (total distance)/(time taken to get to the campsite).
Where r is Alvin's average paddling rate, 3 is the speed of the river current, the total distance is D, and the time taken to get to the campsite is 9 hours.
On the way back, Alvin's rate of paddling is given by;
r + 3 = (total distance)/(time taken to get back from the campsite).
Where r is Alvin's average paddling rate, 3 is the speed of the river current, the total distance is D, and the time taken to get back from the campsite is 4 hours.Since the distance Alvin paddled to and from the campsite is the same, we can use D = rt.
Therefore, we can get an equation in r only:
r - 3 = D/9(r) + 3
r= D/4
Now, we need to solve for D. We can do this by setting both expressions equal to each other. That is:
r - 3 = r + 3D/9
r-3 = D/4(4)D/9
r-3= D/4
Multiplying both sides by 36 gives:
4D = 9D/4 * 36D
D= 81 km
Therefore, the distance of the campsite is 81 km.
Using D = rt,
we can find the average paddling rate r:
r = D/t
r = 81/(9 + 4) r
r = 6 km/hr.
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Phythagorean theorem help me plsss
Answer:
5
Step-by-step explanation:
We know that a^2+b^2=c^2 from the Pythagorean theorem where a and b are the legs and c is the hypotenuse
4^2+3^2 = c^2
16+9 = c^2
25 = c^2
Taking the square root of each side
sqrt(25) = sqrt(c^2)
5 =c
Answer:
d = 5 m
Step-by-step explanation:
The diagonal divides the rectangle into 2 right triangles with legs 3 and 4 and hypotenuse h
Using Pythagoras' identity in one of the right triangles, then
d² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )
d = \(\sqrt{25}\) = 5
Determine the value of x
The meaure of the side length x of the right triangle is approximately 2.02 units.
What is the value of x?The figure in the image is a right triangle with one of its internal angle at 90 degrees.
From the image:
Angle θ = 68 degree
Adjacent to angle θ = x
Opposite to angle θ = 5
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( θ ) = opposite / adjacent
Plug in the given values and solve for x.
tan( 68° ) = 5 / x
Cross multiply:
tan( 68° ) × x = 5
x = 5 / tan( 68° )
x = 2.02
Therefore, the value of x is 2.02.
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Which of the following is a correct interpretation of the expression -3 - 5
Answer:
c
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:What is the median of this data set?
Answer:
median = 3.5
Step-by-step explanation:
the median is the middle value of the data sey. If there is no exact middle then it is the average of the values either side of the middle.
listing the values from the data set
1 , 1 , 2, 3 , 4 , 4 , 4 , 5
↑ middle
median = (3 + 4) ÷ 2 = 7 ÷ 2 = 3.5
find the exact value of cos-1 (sqrt 3/2)
The exact value of cos^-1( √3/2) = 30°
What is trigonometric ratio?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°
sin30 = 1/2
cos 30 = √3/2
tan 30 = 1/√3
cos 60 = 1/2
sin 60 = √3/2
tan 60 = √3
Therefore, if cos^-1( √3/2) = x
cos x = √3/2
cos 30 = √3/2
cos x = cos 30
therefore x = 30
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Determine which of the lines, if any, are parallel or perpendicular.
Line a: 4y - 12x = 20
Line b: 3y = -x + 2
Linec: y = 3x - 1
Step-by-step explanation:
ma=3,mb=_1/3, mc=3a and c are parallelb aree perpendicular to a and cA random sample of 150 teachers in an inner-city school district found that 72% of them had volunteered time to a local charitable cause within the past 12 months. What is the standard error of the sample proportion?
a. 0.037
B. 0.057
C. 0.069
D. 0.016
The given information is as follows:A random sample of 150 teachers in an inner-city school district found that 72% of them had volunteered time to a local charitable cause within the past 12 months.
The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150
The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037
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15-12 + 4(3) =
15-12-12
15-1
14
Answer:
15
Step-by-step explanation:
15-12+4(3)
15-12+12
3+12
15
if x+y=10 and x-y=6 , what is the value of x³-y³
Answer:
\(\huge\boxed{x^3-y^3=508}\)
Step-by-step explanation:
\(\underline{+\left\{\begin{array}{ccc}x+y=10\\x-y=6\end{array}\right}\qquad|\text{add the sides of the equations}\\.\qquad2x=16\qquad|\text{divide both sides by 2}\\.\qquad\boxed{x=8}\\\\\text{Substitute it to the first equation}\\8+y=10\qquad|\text{subtract 8 from both sides}\\\boxed{y=2}\\\\x^3-y^3=8^3-2^3=512-8=504\)
Is the following relation a function?
Flying against the wind, a jet travels 5920 miles in 8 hours. Flying with the wind, the same jet travels 10.980 miles in 9 hours. What is the rate of the jet in still air and what is the rate of the wind?
Here is my answer. I hope this is helpful.
Find the angle measure indicated. Assume that lines which appear to be tangent are tangent.
The angle measured is 70°.
A tangent at any point of a circle is perpendicular to the radius of the circle through the point of contact.
So, the two angles made by the tangent and the point of contact of the circle tangent will be equal to 90°
Since the sum of the angles in a quadrilateral is 360°.
Therefore, 110°+90°+90°+x°= 360°
Thus, x°=70°
Hence the missing angle is 70°.
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Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party. To choose which type of movie they would like best, she decided to survey every other child entering a matinee for a cartoon called, “Three Pretty Princesses.” The total number of children surveyed was 40. What is wrong with the way she selected her sample? Check all that apply. ill give brainliest to whoever answers
Answer:
a,c,d
Step-by-step explanation:
I did the quiz
Answer:
acd edge 2023
Step-by-step explanation:
i need help with 4=2/3(2x-9
Answer:
x=15/2
Hope it helps :)
Answer:
x = 7.5
Step-by-step explanation:
4 = 2/3 (2x - 9)
4 = 4/3x - 6
4 + 6 = 4/3x - 6 + 6
10 = 4/3x
10 x 3/4 = x
x = 7.5
The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be 100, and the standard deviation is 5. Calculate the probability of a type II error if the true mean heat evolved is 103 and
To calculate the probability of a type II error, we need to first determine the critical value for the test. This can be found using the formula:
Critical value = mean + (z-score for desired level of significance) x (standard deviation/square root of sample size)
Assuming a 5% level of significance and a sample size of 25, the z-score for a one-tailed test is 1.645. Plugging in the values, we get:
Critical value = 100 + (1.645) x (5/sqrt(25)) = 101.645
Next, we need to determine the probability of failing to reject the null hypothesis (i.e. making a type II error) when the true mean heat evolved is actually 103. This can be found using a normal distribution table or calculator:
z-score = (critical value - true mean)/standard deviation = (101.645 - 103)/5 = -0.31
Using the normal distribution table, the probability of a z-score of -0.31 or less is 0.3783. Therefore, the probability of making a type II error is approximately 38%.
In summary, if the true mean heat evolved is 103 and we are using a one-tailed test with a 5% level of significance and a sample size of 25, there is a 38% chance that we will fail to reject the null hypothesis and make a type II error.
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Evaluate the following expressions:
1. 5(a+2b)-3b
Answer:
=5a+7b
Step-by-step explanation:
Expand: 5(a + 2b): 5a + 10b
=5a+10b-3b
Add similar elements: 10b-3b=7b
=5a +7b
Answer:
\(\boxed{\sf{5a+7b}}\)Step-by-step explanation:
\(\boxed{\underline{\text{Distributive property}}}\)
Given:
In this question, I'm asking about the distributive property.
Distributive property is each term within the parentheses can be multiplied by a factor outside the parentheses.
For any real numbers a, b, and c.
Note:
⇒ A(B+C)=AB+AC
⇒ A(B-C)=AB-AC
Solutions:
5(a+2b)-3bMultiply by expand first.
\(\Longrightarrow: \sf{5(a+2b)}\)
\(\Longrightarrow: \sf{5*a=5a}\\\\\Longrightarrow: \sf{5*2b=10b}\)
Rewrite the equation problem down.
5a+10b-3b
Solve.
Subtract.
10b-3b=7b
\(\Longrightarrow: \boxed{\sf{5a+7b}}\)
Therefore, the final answer is 5a+7b.I hope this helps, let me know if you have any questions.
Which of the following is a factor of x^3-7x-6?
A. X+3
B. X+4
C. X-2
D. X+1
HELP ME PLSSS HELP MEEE HELPP..
The answer would be c.
Multiplying by 1/4 would be the same as dividing by 4.
the measure of ∠1 is 50 degrees. what is the measure of ∠6 ?
If the measure of angle 1 is 50° then the measure of angle 2 is 30°.
We know that line l ∥ line m and line p is the transversal.
Let's label the diagram as follows.
Now, by the vertically opposite angles theorem,
we have angle 1 = ∠TPQ = 50°
now ∠P and ∠Q form interior angles,
Hence, by the interior angles theorem, we have
∠P + ∠Q = 180°
The sum of the interior angles of the angles formed by the transversal is 180°.
50° + ∠Q = 180°
subtracting 50° on both sides we get,
∠Q = 180° - 50°
∠Q = 30°
Hence, the measure of angle 2 is 30°.
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The complete question is -
In the given figure, line l and line m are parallel and line p is transversal If the measure of 1 is 50 degrees what is the measure of 2?
circleFind the area and the circumference of a circle with radius 5 ft.Use the value 3.14 for T, and do not round your answers. Be sure to include the correct units in your answers.ftft?ftArea:5 ftCircumference:Х$
Given the figure of a circle
As shown the radius of the circle = r = 5 ft
\(\text{Area}=\pi\cdot r^2=3.14\cdot5^2=3.14\cdot25=78.5ft^2\)\(Circumference=2\cdot\pi\cdot r=2\cdot3.14\cdot5=31.4ft\)so, the answer will be:
Area = 78.5 ft^2
Circumference = 31.4 ft
Justin has 23 one dollar bills. He wants to give each of his 3 children the same number of bills. How many bills can he give each child? How many bills will Justin have remaining?
Answer:
If Justin give's each of his children 7 one dollar bills, He will have 2 one dollar bill remaining
Step-by-step explanation:
since he has 3 children he have to divide 23 by 3 so we count until we get a number close to 23 but not greater because we have to subtract that number from 23
3.6.9.12.15.18.21.24.27.30.
Now that we found our number closest to 23 without going greater than 23 we subtract it from 23
23
- 21
2
so that's how we got the remaining amount of money but we count how many time's we multiplied to get 21, that's 7 which is the amount each children gets.
I hope this helps :)