Complete question :
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm long. How many whole cubes can Sharon make?
Answer:
About 51 ice cubes
Step-by-step explanation:
Given the following :
Height (h) of cylindrical pot = 25
Diameter = 30cm
Edge of ice cube = 7cm long
Volume of cylinder (v) = πr^2h
V = π * (30/2)^2 * 25
V = π * 15^2 * 25
V = 17671.458cm^3
Therefore, the soup occupies 17673.75cm^3
Volume of cubes to store the soup for later:
The volume of a cube is given by the formula:
V = a^3
Where a is the length of it's edge
V = 7^3
V = 343cm^3
Number of cubes required to store soup:
(Volume of cylinder / Volume of ice cube)
17671.458cm^3 / 343cm^3
= 51.520287
This is about 51 whole cubes
linear equations: w-3=15
Answer:
w = 18
Step-by-step explanation:
w-3=15
Add 3 to each side
w-3+3=15+3
w = 18
Answer:
w = 18.
Step-by-step explanation:
w - 3 = 15
w = 15 + 3
w = 18
Check your work!
18 - 3 = 15.
Hope this helps!
El equipo de béisbol de los Gatos Salvajes de Ludlow, un equipo de las ligas menores de la organización de los Indios de Cleveland, juega 70% de sus partidos por la noche y 30% de día. El equipo gana 50% de los juegos nocturnos y 90% de los diurnos. De acuerdo con el periódico de hoy, ganaron el día de ayer. ¿Cuál es la probabilidad de que el partido se haya jugado de noche?
Answer:
0.5645
Step-by-step explanation:
De la pregunta anterior, se nos dan los siguientes valores para el equipo de Ludlow
Probabilidad de jugar de noche = 70% = 0.7
Probabilidad de ganar en la noche = 50% = 0.5
Probabilidad de jugar durante el día = 30% = 0.3
Probabilidad de ganar durante el día = 90% = 0.9
Probabilidad de que cuando ganaron ayer, el juego se jugó por la noche =
(Probabilidad de jugar de noche × Probabilidad de ganar de noche) ÷ [(Probabilidad de jugar de noche × Probabilidad de ganar de noche) + (Probabilidad de jugar de día × Probabilidad de ganar de día)]
Probabilidad de que cuando ganaron ayer, el juego se jugó de noche = (0.5 × 0.7) ÷ (0.5 × 0.7) + (0.9 × 0.3)
= 0.35 ÷ 0.35 + 0.27
= 0.35 ÷ 0.62
= 0.5645
La probabilidad de que el partido se haya jugado de noche = 0.5645
what is the volume of the frustrum
Answer:
258.47
Step-by-step explanation:
v=πr²h/3
=π4.2 ×14/3
=258.615
Simplify the expression (4x+22x)/(2x)
Answer:
The answer is 13.
Step-by-step explanation:
here, ( 4x+ 22x)/2x
taking 2x common we get, 2x(2+11)/2x
=13 ..... is answer ( as 2x gets cancelled)
Hope it helps..
How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winners was drawn and the amount of money each won was recorded and listed below. Estimate with 96% confidence the mean winning's for all the show's players.
Step-by-step explanation:
Given:
x = 26214.47
s = 5969.25
n = 15
t = 2.046
The confidence interval is:
CI = x ± t (s / √n)
CI = 26214.47 ± 2.046 (5969.25 / √15)
CI = (23061.06, 29367.88)
What is the approximate circumference of the circle shown below?
Answer:
[tex]\boxed{\sf 43.35 \ cm}[/tex]
Step-by-step explanation:
Apply formula for the circumference of a circle.
[tex]\sf C=\pi d[/tex]
The diameter [tex]\sf d[/tex] is 13.8 cm.
[tex]\sf C=\pi (13.8)[/tex]
[tex]\sf C= 43.3539786195...[/tex]
[tex]\sf{C} \approx \sf{43.35}[/tex]
Answer:
43.4 cm
Step-by-step explanation:
Circumference of the circle = 2πr
r = radius, π = [tex]\frac{22}{7}[/tex]
f = diameter÷2
=13.8 ÷ 2
= 6.9
circumference = [tex]2 * \frac{22}{7} * 6.9\\[/tex]
= [tex]\frac{303.6}{7}[/tex]
= 43.37 cm or 43.4 cm
Find the area of the triangle.
Answer:
10.5 cm^2
Step-by-step explanation:
Since we have two sides and the angle between those sides, we can use the alternative area formula:
[tex]A=\frac{1}{2}ab\sin(C)[/tex]
a and b are the two sides while C is the angle in between the two sides.
Plug in the numbers:
[tex]A=\frac{1}{2}(7)(6)\sin(150)[/tex]
Recall the unit circle. Sin(150) is 1/2.
[tex]A=21(\frac{1}{2})[/tex]
[tex]A=21/2=10.5cm^2[/tex]
Now use technology and use the cumulative probability 0.95, the mean muequals10.5, and the standard deviation sigmaequals4.10 to determine the value for x0, rounding to one decimal place.
Answer:
18.5
Step-by-step explanation:
In the above question, we are given the following values
Cumulative probability ( confidence interval) = 0.95 = 95%
Mean = 10.5
Standard deviation = 4.10
We are asked to find the value of x.
To solve for x , we would be using the z score formula.
z score = (x-μ)/σ,
where x is the raw score,
μ is the population mean
σ is the population standard deviation
z score was not given in the question, but we have our cumulative probability as 95%(0.95).
Using the appropriate table,
the z score for 95% confidence is z = 1.96.
Therefore,
z score = (x-μ)/σ,
1.96 = x - 10.5/4.10
Cross multiply
1.96×4.10 = x - 10.5
x = (1.96 × 4.10) + 10.5
x = 8.036 + 10.5
x = 18.536
Approximately to 1 decimal place
x = 18.5
help me pls with this complete a and B I will give you brainliest if answer is correct:-)
Answer:
a) Multiplied by 1.04
b)160(1.06)=169.6
Step-by-step explanation:
Its increasing so (1+4%) will be what it multiplied to.
Hope it helps u
160(1+6%)=169.6
-4______1 what symbol makes this sentence true
Answer:
<
Step-by-step explanation:
The perimeter of a rectangle is 61 centimeters. The length is 4.1 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?
Answer:
P=2(length+width)
the length is 4.1 cm more than the width: l=4.1+w
61=(2(4.1+w+w))
61=8.2+2w+2w
61-8.2=4w
4w=52.8
w=13.2
Answer:
14 46\14
Step-by-step explanation:
p=L+W
p=61
L=4.1
W=?
61=4.1+W
61=4.1W
61\4.1=4.1\4.1
=14 46\14
A study was conducted on the effect of daytime running lights on cars. Researchers gathered data from a random sample of 3,248 drivers and measured
quite a few variables, in addition to the explanatory variable of daytime running lights and the response variable of less accidents. According to a
newspaper article summarizing the study, those cars that had daytime running lights were more likely to be operated by drivers who were confident and
attentive. Drivers whose cars did not have daytime running lights were about 22% more likely to have an accident. What conclusion can we draw from this
study? Explain.
We can infer a cause-and-effect relationship because the sample was selected randomly.
We cannot infer a cause-and-effect relationship because we do not have a control group.
We can infer a cause-and-effect relationship because multiple variables were included.
We cannot infer a cause-and-effect relationship because treatments were not assigned randomly.
We cannot infer a cause-and-effect relationship because the treatments imposed were not blocked correctly.
Answer:
The correct option is;
We cannot infer a cause and effect relationship because we do not have a control group
Step-by-step explanation:
The treatment in research involves giving stimulus known as treatment to a group or portion of the sample which are then known as the treatment group while the remaining portion of the the sample are exempted from the stimulus. A successful treatment manipulation is one where members of the treatment group perform higher in the measured metrics of the research than members of the control group.
Given that the researchers gathered data from a random sample of drivers and measurement of several variables including the explanatory variable of the of the research without subjecting a sample to a treatment or having a control group we cannot infer a cause and effect relationship as there are no control group
A ladder leaning against a wall makes a 35° angle with the ground. The foot of the ladder is 5 meters from the wall. What is the length of ladder?
Greetings from Brasil...
Using Cossine we will get the length L of ladder
COS 35 = 5/L
L = 6,1Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343 liters of
air and water while using less than 49 Joules of energy.
12A + 8W > 343 represents the number of minutes the robot filters air A and water IV to hiter more
than 343 liters of air and water.
3A +41V < 49 represents the number of minutes the robot hiters air and water while using less than 49
Joules of energy
Does the robot meet both of Nadia's expectations by filtering air for 20 minutes and filtering water for 15
minutes?
Choose 1 answer.
A. The robot meets both of Nadia's expectations.
B. The robot filters the expected amount of air and water, but it doesn't use the expected amount
of energy
C. The robot uses the expected amount of energy, but it doesn't filter the expected amount of air
and water.
D. The robot doesn't meet either of Nadia's expectations.
Answer:
The correct option is;
B. The robot filters the expected amount of air and water, but it doesn't use the expected amount of energy
Step-by-step explanation:
The given requirements are;
Volume of air and water to be filtered by the robot = 343 liters
The amount of energy consumed by the robot < 49 joules
The number of minutes the robot filters air and water to filter more than 343 liters = 12A + 8W > 343
The number of minutes the robot filters air and with less than 49 Joule of energy = 3A + 4W < 49
Given that filtering air takes 20 minutes, filtering water takes 15 minutes, we have;
To filter more than 343 liters, we have
12*20 + 8*15 = 360 > 343
The robot meets the amount of air and water requirement
To filter with less than 49 joules we have
3*20 + 4*15 = 120 > 49
Therefore, the robot does not meet the energy requirement
The correct option is the robot filters the expected amount of air and water, but it doesn't use the expected amount of energy.
I need an answer asap. I really would like some help with this
Answer:
(x + 4)² + (y + 1)² = 4
Step-by-step explanation:
From the graph attached,
Extreme ends of the diameter of the circle,
(-4, 1) and (-4, -3)
Center of the circle = Midpoint of the diameter
Center = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
= [tex](\frac{-4-4}{2},\frac{1-3}{2})[/tex]
= (-4, -1)
Radius of the circle = Distance between the center and extreme end
= 2 units
Since standard equation of the circle is,
(x - h)² + (y - k)² = r²
where (h, k) is the center and 'r' is the radius of the circle
By substituting the values in the standard equation,
(x + 4)² + (y + 1)² = 2²
(x + 4)² + (y + 1)² = 4
Someone please explain
Area of a triangle is 1/2 x base x height.
The graphed triangle has height of 2 and base of 2.
Area = /2 x 2 x 2 = 2 square units.
The triangle gets enlarged by a scale factor of 2, so the new height would be 2 x 2 = 4 and the new base would be 2 x 2 = 4
Area of enlarged triangle = 1/2 x 4 x 4 = 8 square units.
The answer is C) 8
Amy invests $10,000 in an account that pays 1% compound interest annually. She uses the expression (1+) to find the total value of the account after years. What will be the total value of the account after 10 years?
====================================================
Work Shown:
P = amount deposited = 10000
r = interest rate in decimal form = 0.01
n = compounding frequency = 1 (annual compounding)
t = number of years = 10
--------
A = P*(1+r/n)^(n*t) ... compound interest formula
A = 10000*(1+0.01/1)^(1*10)
A = 11046.221254112
A = 11046.22 rounding to the nearest cent
What type of relationship does a correlation coefficient of r = 0.45 indicate? A. Weak negative correlation B. Weak positive correlation C. Strong positive correlation D. Strong negative correlation
Answer:
B
Step-by-step explanation:
Here, we want to know the kind of relationship a correlation value of 0.45 represents
Generally the perfect correlation value is 1, while a correlation score of zero shows no relationship between the two quantities.
Firstly, the value we have is positive, so we have a positive correlation, since it is closer to zero than 1, we can interpret the value as being a weak positive correlation
Answer:
B
Step-by-step explanation:
the question is in the attachment...
Answer:
Rest of the part will be = x - 5x/10- x/10
solution will be 4x/10 i.e 4/10 part of the garden
Step-by-step explanation:
Let the sum total of parts of garden be x
If it is divided into 10 equal parts then
one part will be equal to x/10
Given carrots are planted on 5/10 of the garden
parts on which garden is planted = 5/10 * total part of garden = 5x/10
Given peas are planted on 1/10 of the garden
parts on which peas are is planted = 1/10 * total part of garden = x/10
On rest of the part corn is planted.
Rest of the part will be = total parts of garden - part on which carrots are planted - part on which carrots are planted
Rest of the part will be = x - 5x/10- x/10 = (10x-5x-x)/10 = 4x/10
Model will be
Rest of the part will be = x - 5x/10- x/10
solution will be 4x/10 i.e 4/10 part of the garden
What is 1x1+5 hehe lol
Can someone please help me?
Answer:
B
Step-by-step explanation:
When you plug it in, another form could be y=-3x+2
Answer:
y=-3x+2
Step-by-step explanation:
y=-3x+7
parallel lines have the same slope but different y intercept which is b in the equation y=mx+b
since it passes through (2,-4) then x=2 and y=-4, m(slope)=-3
y=mx+b
-4=-3(2)+b
b=-4+6
b=2
y=-3x+2
Can someone plz answer the question ASAP? Thank you. multiple choice answer yes or no
Answer:yes
Step-by-step explanation:
The polynomial function F(x)= 2x^2 +4 has a critical point at which of the
following x-values?
A. X=0
B. X=4
C. X=2
D. X=-2
the answer is A,when X=0
I need help with this question! solve “k” -19=b-6
k = b + 13
Step-by-step explanation:k - 19 = b - 6
k = b + 19 - 6
k = b + 13
Answer:
[tex]\boxed{k=b+13}[/tex]
Step-by-step explanation:
[tex]k-19=b-6[/tex]
Add 19 on both sides.
[tex]k-19+19=b-6+19[/tex]
[tex]k=b+13[/tex]
11. John has a life insurance policy that will pay his family $32,000 per year if he dies. If interest rates are at 2.5% when the insurance company has to pay, what is the amount of the lump sum that the insurance company must put into a bank account?
Answer:
$1280000
Step-by-step explanation:
Given that :
John has a life insurance policy that will pay his family $32,000 per year if he dies
If interest rates are at 2.5% when the insurance company has to pay
The amount of the lump sum that the insurance company must out into a bank account can be determined by the division of the amount to be paid by the interest rate.
i.e
the amount of the lump sum = $32000/2.5%
the amount of the lump sum = $32000/0.025
the amount of the lump sum = $1280000
Find the sum of all solutions to $(4x+3)(x-8)+(x-1)(4x+3)=0$
Answer:
3 3/4
Step-by-step explanation:
(4x+3)(x-8)+(x-1)(4x+3)=0
Factor out 4x+3
(4x+3)( x-8+x-1) =0
Combine terms
(4x+3) ( 2x-9) =0
Using the zero product property
4x+3 = 0 2x-9 =0
4x=-3 2x = 9
x = -3/4 x = 9/2
Sum the solutions
-3/4 + 9/2
-3/4 + 18/4
15/4
3 3/4
PLEASE HELP MEEEE
I need help finding x a b and c
Answer:
x=15
angle b=7*15=105
angle a=180-105=75
angle c=2x=30
Step-by-step explanation:
b=7x
sum of straight angle :=180
isoceles traingle = 2 sides are equal, and two angles are equal
b+a=180
7x+a=180
sum of traingle =180
2a+c=180
2a+2x=180 first equation
7x+a=180 second equation
solve by elimination ( multiply second equation by 2)
2a+2x=180
2a+14x=360 ( subtract)
2a+2x-2a-14x=180-360
-12x=-180
x=-180/12=
x=15
angle b=7*15=105
angle a=180-105=75
angle c=2x=30
PLSSS HELP
Kenny and Michael have scored points during a basketball game. Kenny has scored 131313 points, and Michael has scored ppp points. Together they have scored a total of 272727 points. Select the equation that matches this situation. Choose 1 answer:
Choose 1 answer:
(Choice A)
A
13 + p = 2713+p=2713, plus, p, equals, 27
(Choice B)
B
13 = p + 2713=p+2713, equals, p, plus, 27
(Choice C)
C
13 - p = 2713−p=2713, minus, p, equals, 27
Answer:
A
Step-by-step explanation:
Kenny scored 13 points, and Micheal scored p points. They scored a total of 27 points. This means that 27 is the sum of their scores. The answer is A.
13 + p = 27
Answer:
It’s b or it’s 13+p=27
Step-by-step explanation:
Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=11x−3 and CE=12−4x. Find x
Answer:
x = 1
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, thus
AE = CE , substitute values
11x - 3 = 12 - 4x ( add 4x to both sides )
15x - 3 = 12 ( add 3 to both sides )
15x = 15 ( divide both sides by 15 )
x = 1
À television ser costs $350 cash. When
bought on hire purchase, a deposit of $35 is
required, followed by 12 monthly payments
of $30. How much is saved by paying cash
Answer:
$45.
Step-by-step explanation:
When the TV is bought on hire purchase, you deposit $35 and pay $30 monthly. There are 12 payments. 12 * 30 = $360. 360 + 35 = $395.
Since cash would've cost $350, the amount of money saved by paying cash is 395 - 350 = $45.
Hope this helps!