Answer:
False
Step-by-step explanation:
If we were to flip the solid on the left so its parallel to the solid on the right, we would be able to compare the two more easier.
We can see that the right solid has dimensions of:
L = 1 cm
W = 3 cm
H = 5 cm
The left solid has dimensions of:
L = 1
W = 2
H = 7
If we were to add these all up, they would not equal.
R: 1 + 3 + 5 = 9
L: 1 + 2 + 7 = 10
Random samples of female and male UVA undergraduates are asked to estimate the number of alcoholic drinks that each consumes on a typical weekend. The data is below:
Females (Population 1): 5, 5, 6, 6, 6, 3, 4, 6, 6, 6
Males (Population 2): 7, 3, 4, 7, 4, 7, 3, 3, 7, 4
Give a 93% confidence interval for the difference between mean female and male drink consumption. (Assume that the population variances are equal.)
Answer:
Confidence Interval =-0.76,+1.56
Step-by-step explanation:
The confidence interval can be determined by
(x1`- x2`) ± z∝/2 √s1²/n1 + s2²/n2
z∝/2 for 93% is 1.81
The mean and the standard deviations can be calculated using the calculator.
The mean x1`= ∑x/ n= 5+ 5+ 6+ 6+ 6+ 3+ 4+ 6+ 6+ 6
= 53/10= 5.3
Standard deviation = s1`= 1.0049= 1.005
The mean x2`= ∑x/ n= 7+ 3+ 4 +7+ 4+ 7+ 3+ 3+ 7+ 4/10
= 49/10= 4.9
Standard Deviation = s2= 1.75783= 1.76
Putting the values
(x1`- x2`) ± z∝/2 √s1²/n1 + s2²/n2
(5.3-4.9 ) ± 1.81 √1.005²/10 +1.76²/10
0.4 ± 1.81 √ 1.010025/10 + 3.0976/10
-0.76,+1.56
The confidence interval for 93% two tailed test is [-0.76,+1.56]
A rectangle has a area of 30 square units and a width of 6. Find its length
Answer:
Step-by-step explanation:
If the overall area of the square is 30 units with a width of 6 units, all you need to do is divide 30 by 6. Or, if you add 6 till you get 30, which is much simpler.
If we start from six and count up till we get to/close to 30 without passing the number, we can do this.
6, 12, 18, 24, 30
Right on the dot of thirty! How lucky! Now we notice that while counting up, there were 5 variables (Don't know if I'm using this word correctly :\) of thirty in total. Then, if you want to double check, multiply 5 by 6 to get thirty and show proof that your answer is correct!
Good job! You survived the maths!
Anyways, here's the answer: The missing length of the 30 unit square is 5.
Answer:
5 is its length, divide the given length to the total area to get your missing length
Whenever given an area and a length or a width either ONE of those, you always divide the given length. Why? Because the number you get from dividing will make sense! That number you got from dividing times the give length will equal your area! Which is why you divide your given length to your total area.
At a sale this week, a suit is being sold for $296.40. This is a 62% discount from the original price. What was the original price?
Answer:
Rounded: $478.06
Step-by-step explanation:
Set up an equation:
Variable x = original price
62/100 = 296.40/x
Cross multiply
62 × x = 100 × 296.40
62x = 29,640
Divide both sides by 62:
x = 478.064516....
Round to nearest cent (hundredths place):
x = 478.06
Check your work (using the rounded estimate will be close to $296.40 but not exact because it is rounded; once you round your answer and it should match):
478.06 × 62%
Convert the percentage into a decimal:
478.06 × 0.62
296.3972
Round to the nearest cent (hundredths place):
296.40
how do i write my algebra equations on my computer
16x2 + 4y2 -32x + 16y -32= 0
4. Which function has two
x-intercepts, one at
(5, 0) and one at (-4, 0)
f(x) = (x - 5)(x – 4)
f(x) = (x - 5)(x + 4)
f(x) = (x + 5)(x - 4)
f(x) = (x + 5)(x +4)
Answer: B) (x - 5)(x + 4)
Step-by-step explanation:
we’re looking for x intercepts at x = 5 and x = -4
x - 5 = 0; x = 5
x + 4 = 0; x = -4
(x - 5)(x + 4) is your answer
IM ALMOST DONE WITH MY DIAGNOSTIC YAY!!!!
Answer:
27 cubic units
hope this helps
have a good day :)
Step-by-step explanation:
SHOW YOUR WORK
5/8 times ? equals 5/2 or 2 1/2
CAN SOMEONE HELP ME ASAP PLS
Answer:
10 inches
Step-by-step explanation:
Half of the circle is 5 inches. the other half will be 5, which added together makes 10
A car manufacturing plant assembles 26 cars with 7 having bad brakes. A random inspection reviews 4 cars' brakes. What is the probability that all the cars chosen have good brakes
Answer:
p = 0.259264214
Step-by-step explanation:
26 - 7 = 19 with good brakes
Probability of picking 4 with good brakes
p = 19/26 * 18/25 * 17/24 * 16/23
p = 0.259264214
The probability that all the randomly chosen cars have good brakes is approximately 0.169 or 16.9%.
To calculate the probability that all the randomly chosen cars have good brakes, we need to consider the number of cars with good brakes and the total number of cars.
Total number of cars assembled: 26
Number of cars with bad brakes: 7
To calculate the probability, we can use the concept of combinations.
The number of ways to select 4 cars out of the remaining 26-7 = 19 cars with good brakes is given by the combination formula:
C(n, r) = n! / (r! * (n-r)!)
where n is the total number of cars with good brakes and r is the number of cars to be randomly selected.
In this case, n = 19 and r = 4.
The total number of ways to select 4 cars from the total pool of 26 cars is given by the combination formula:
C(26, 4) = 26! / (4! * (26-4)!)
Now, we calculate the probability that all the randomly chosen cars have good brakes:
Probability = (Number of favorable outcomes) / (Number of total outcomes)
Number of favorable outcomes = C(19, 4)
Number of total outcomes = C(26, 4)
Probability = C(19, 4) / C(26, 4)
Using a calculator, we can compute these combinations and evaluate the probability:
Probability ≈ 0.169
Therefore, the probability that all the randomly chosen cars have good brakes is approximately 0.169 or 16.9%.
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−8x+4y=24
−7x+7y=28
x=?
y=?
Answer:
x = -2y = 2Step-by-step explanation:
You want the solution to the system of equations ...
-8x +4y = 24-7x +7y = 28SolutionWe notice that each of these equations has a leading minus sign, and has coefficients that have a common factor. We can multiply by -1 to make the leading coefficient positive, and we can divide by the common factor. Doing this puts the equations in standard form:
2x -y = -6
x -y = -4
Subtracting the second equation from the first gives ...
(2x -y) -(x -y) = (-6) -(-4)
x = -2
Rearranging the second equation to find y, we have ...
y = x +4
y = -2 +4 = 2
The solution is (x, y) = (-2, 2).
<95141404393>
Find out six rational numbers lying between -4/8 and -3/4
Answer:
-41/80, -45/80, -48/80, -51/80, -55/80, -59/80
Step-by-step explanation:
-4/8, -3/4 = -4/8, -6/8
= -40/80, -60/80
∴ Rational numbers between -40/80 and -60/80 = -41/80, -45/80, -48/80, -51/80, -55/80, -59/80.
A man's monthly salary was decreased in the ratio of 7:2, he was paid N625. How much was his original salary.
Answer:
15
Step-by-step explanation:
Calcula el 28% de 375
Answer: 105
Step-by-step explanation:
28% es 0.28 en decimal
28% de 375 es 375 x 0.28
375 x 0.28 = 105
Answer:
105
Step-by-step explanation:
[tex]\frac{y}{375} :\frac{28}{100}[/tex]
y × 100 = 28 × 375
100y = 10500
100y ÷ 100 = 10500 ÷ 100
y = 105
Convert the angle - 3 radians to degrees, rounding to the nearest 10th
Answer:
171.9 degrees.
Step-by-step explanation:
The factor is 180/π.
So 3 radians = (3*180)/π
= 171.9 degrees.
What is a reasonable prediction? Please help! :(
Answer:
A estimated guess based off past information not some random number
Step-by-step explanation:
Example:
Make a reasonable prediction on if we will have school tomorrow. We are expecting a foot of snow.
Reasonable: We most likely won't because it will be cold and snowing. And it won't be safe.
Not Reasonable: We will because it will be sunny
Make x the subject of the formula: m=x−3b
Answer:
x = m + 3b
Step-by-step explanation:
add 3b to each side
x = m + 3b
Answer:
x=m+3b
Step-by-step explanation:
Hi there!
Our goal to make x the subject of the formula is to isolate x on one side and have everything else on the other side
here's the given formula:
m=x-3b
-3b is on the same side as x, which we don't want
add 3b to both sides (-3b+3b=0)
m=x-3b
+3b +3b
________
m+3b=x
since x is now the subject of the formula, we're done
Hope this helps!
- Your furniture store sells two types of dining room tables. The first, type A, costs $213 and you make a $23
profit on each one. The second, type B, costs $109 and you make a $16 profit on each one. You can order no
more than 90 tables this month, and you need to make at least $1720 profit on them. If you must order at leas
one of each type of table, how many of each type of table should you order if you want to minimize your
cost?
a. 50 of type A
40 of type B
b. 34 of type A
56 of type B
C. 56 of type A
34 of type B
d. 40 of type A
50 of type B
It takes 4 3/4 hours to print some letters when 7 printers are used.
Work out the time taken to print the letters when 3 printers are used.
Give your answer in hours and minutes.
Answer: This is what I could figure out
Step-by-step explanation:
The amount of time taken to print by 3 printers is 2¹/₂₈ hours.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that It takes 4³/₄ hours to print some letters when 7 printers are used.
The amount of time will be calculated as,
Time = ( 4³/₄ x 3 ) ÷ 7
Time = (19 / 4 x 3 ) ÷ 7
Time = 57 / 28
Time = 2¹/₂₈ hours
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PLEASE WHOEVER DOES IT GETS BRAINLIEST
Answer:
first one on top to the left
Step-by-step explanation:
A right cylindrical vase holds 2.50 L of water. If the radius of the vase is 9.00 cm, what is the height of
the vase, rounded to the nearest hundredth of a centimeter? (Note: 1 cm3 = 0.001L)
No website plzzz
Answer: 9.82cm
Step-by-step explanation:
I have no idea pls help
Answer:
Area= 90
Step-by-step explanation:
triangle area: (b x h) / 2
(12 x 15) / 2
(180) / 2
a= 90
A farmer has 100 acres of available land that he wishes to plant with a mixture of potatoes, corn, and cabbage. It costs him $400 to produce an acre of potatoes, $160 to produce an acre of corn, and $280 to produce an acre of cabbage. He has a maximum of $20,000 to spend. He makes a profit of $120 per acre of potatoes, $40 per acre of corn, and $60 per acre of cabbage. How many acres of each crop should he plant to maximize his profit?
a. Create a chart to organize this information.
b. Write the objective function
c. Write all the constraints to the problem.
Objective (Profit) Function : 120 Po + 40 Co + 60 Ca
Constraint Functions : Po + Co + Ca = 100 (Land Constraint) ; Budget Constraint : 400 Po + 160 Co + 280 Ca = 20000
LET : Acres of land for Potato, Corn, Cabbage = Po, Co, Ca respectively.
Objective Function is the function to be minimised or maximised. Here, 'PROFIT' is to be maximised.
So, profit function is the objective function. Profit per acre potatoes, corn, cabbage = 120, 40 , 60 respectively.Constraint functions denote the other conditions to be maintained, while maximising & minimising objective profit function.
Here, Land constraint & budget constraints need to be satisfied. Total acres of land for potato, corn, cabbage = 100. Cost per acre potatoes, corn, cabbage = 400, 160, 280 respectively & total budget is 20000.To learn more, refer https://brainly.com/question/2500020?referrer=searchResults
What are the coordinates of the turning point of the parabola whose equation is y=-x^2+4x+1
PLEASEEE ANSWERRRRRR
Answer:
The maximum of the parabola lands at (2,5).
The coordinates of the turning point of the parabola whose equation is y=-x²+4x+1 are (2, 5)
What is Coordinate system?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points.
The equation of Parabola is y=-x²+4x+1
The turning point (vertex) is the point where the derivative is equal to zero.
y=-x²+4x+1
Differentiate the equation
dy/dx=-2x+4
Now equate dy/dx with zero
dy/dx=0
-2x+4=0
-2x=-4
x=2
Now put x value in the equation
y=-(2)²+4(2)+1
y=-4+8+1
y=5
Hence the coordinates of the turning point of the parabola whose equation is y=-x²+4x+1 are (2, 5)
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Can someone please help me I will mark u brilliant
Answer:
c is correct
Step-by-step explanation:
3.6 with a bar above means 3.6666666666.. continuing forever which is smaller then 3.7
Answer:
C. 7.6 < 7.67
can someone help? Will give brainliest
Answer:
a = 36
Step-by-step explanation:
3 + (11/12)a = 36
Subtract 3 from both sides
(11/12)a = 33
multiply both sides by 12
11a = 396
Divide both sides by 11
a = 36
Answer:
a = 36
Step-by-step explanation:
trust me and give brainliest
How many solutions does the following system have?
y = 4x + 6
y = 4x + 12
A. One Solution
B. Infinitely many solutions
C. No Solution
D. Two Solutions
I WILL MARK BRAINLEST IF YOUR ANSWER IS CORRECT!!!!
Answer: no solution
Step-by-step explanation:
QUOTIENT OF 84 AND 6
Answer:
Yo, 84/6 is 14
Step-by-step explanation:
The quotient is the answer you get from a division problem.
Answer:
84 ÷ 6 = 14, or 6 ÷ 84 = 0.07142857142857142857142857142857...
I assume that you meant 84 ÷ 6.
Hope that this helps!
Pls Hurry
Best answer gets brainliest
On a roadtrip, the distance driven can be represented by
the following equation
y = 15x
where x is the number of gallons of gas.
What does the 15 represent?
A) 15 gallons of gas were used
B) the gas cost $15
C) the road trip was 15 miles long
D) the car traveled 15 miles per gallon
Help Please?! ?????????????
Answer:
Ed's answer of [tex]\frac{3}{8}[/tex] is correct because he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer.
Step-by-step explanation:
To solve for m in [tex]\frac{2}{3}m=\frac{1}{4}[/tex] you want to isolate m by dividing by [tex]\frac{2}{3}[/tex] on both sides, therefore he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer of [tex]\frac{3}{8}[/tex], and his answer is correct.