Answer:
1. 50 miles per hour
2.$3.25 (22.75 / 7 = 3.25)
3. Tony's Sewing Store
4. 100 hours (47 / 23.5 = 2, 50 x 2 = 100)
what's the thickness of a rectangle prism with a height of 12 inches, a width of 8 inches and surface area 992 square inches?
Answer:
Thickness of rectangle prism is 20 inches.
Step-by-step explanation:
Given:
Surface area of rectangular prism, A = 992 sq inches.
Height, h = 12 inches
Width, w = 8 inches
To find:
Thickness / length of prism, \(l\) = ?
Solution:
First of all, let us learn the formula for surface area of a rectangular prism.
Formula for surface area of a prism is given as:
\(A=2(wl+hl+hw)\)
As there are 6 faces, each face is a rectangle and area of all the faces is considered in the formula. It is just like a cuboid like structure.
Putting all the given values in the formula to find the value of \(l\):
\(992=2(8l+12l+8 \times 12)\\\Rightarrow 496 = 20l + 96\\\Rightarrow 20 l =496-96\\\Rightarrow 20 l =400\\\Rightarrow l = \dfrac{400}{20}\\\Rightarrow l = 20\ inches\)
So, the answer is Thickness of rectangle prism is 20 inches.
The Ancient Egyptians were which of the following with regards to their religious faith?
If the lines are perpendicular to each other and the slope of the one
line is 1/2 what is the slope of the other line?
Answer:2/1
Step-by-step explanation:
you just have to flip the slope if it is perpendicular.
CAN SOMEONE HELP ME ITS URGENT I NEED THIS ASAP
Answer:
1200
Step-by-step explanation:
1680/1050 = 1920/x
1680x = 2,016,000
x=1200
There are 1200 vertical pixels.
Step-by-step explanation:This is a ratio problem, which uses ratios to relate different items in the question. In a ratio problem, it's important to remember to
1) Write the items in the ratio as a fraction.
2) Make sure that you have the same items in the numerator and denominator.
→ Step 1:The first step is to assign variables. Let x = vertical resolution of the 23" monitor.
Write the items in the ratio as a fraction.
\(\frac{horizontal}{vertical} = \frac{1680}{1050} = \frac{1920}{x}\)
→ Step 2:Solve the equation.
Cross multiply:
\(1680*x = 1920 * 1050\)
\(1680x=2016000\)
Isolate variable x:
\(x=\frac{2016000}{1680}\)
\(x=1200\)
Alang was out at a restaurant for dinner when the bill came. His dinner came
to $18. He wanted to leave a 10% tip. How much was his meal plus the tip,
before tax, in dollars and cents?
Answer:
19.8
Step-by-step explanation:
We reduce 10% to decimal form (0.1) and add to 1 to form its reflective percentile increase. We multiply 18 by 1.1 to get 19.8
The SAT scores have an average of 1,200 with a standard deviation of 200. A sample of 64 scores is selected. (Round your answers to four decimal places.)
(a) What is the probability that the sample mean will be larger than 1,221?
(b) What is the probability that the sample mean will be less than 1,231?
(c) What is the probability that the sample mean will be between 1,200 and 1,215?
(d) What is the probability that the sample mean will be greater than 1,200?
Therefore, the probability that the sample mean will be larger than 1,221 is 0.2005.
To find the probabilities for the sample mean of SAT scores, we need to use the normal distribution probability formula, which can be written as:
P (a < X < b) = Φ (b) - Φ (a)
where X is a normal random variable with mean μ and standard deviation σ, a and b are any two values, and Φ is the cumulative distribution function of the standard normal distribution.
The sample mean of SAT scores is also a normal random variable, with a mean equal to the population mean (1,200) and a standard deviation equal to the population standard deviation (200) divided by the square root of the sample size (64). Therefore, the standard deviation of the sample mean is 200 / √64 = 25.
To find the probabilities for each part of the question, we need to standardize the sample mean by subtracting the mean and dividing by the standard deviation, and then use a table or a calculator to find the values of Φ. Here are the steps for each part:
(a) the probability that the sample mean will be larger than 1,221
P (X > 1,221) = P (Z > (1,221 - 1,200) / 25)
P (X > 1,221) = P (Z > 0.84)
P (X > 1,221) = 1 - P (Z < 0.84)
P (X > 1,221) = 1 - Φ (0.84)
P (X > 1,221) = 1 - 0.7995
P (X > 1,221) = 0.2005
(b) the probability that the sample mean will be less than 1,231
P (X < 1,231) = P (Z < (1,231 - 1,200) / 25)
P (X < 1,231) = P (Z < 1.24)
P (X < 1,231) = Φ (1.24)
P (X < 1,231) = 0.8925
Therefore, the probability that the sample mean will be less than 1,231 is 0.8925.
(c) the probability that the sample mean will be between 1,200 and 1,215
P (1,200 < X < 1,215) = P ((1,200 - 1,200) / 25 < Z < (1,215 - 1,200) / 25)
P (1,200 < X < 1,215) = P (0 < Z < 0.6)
P (1,200 < X < 1,215) = P (Z < 0.6) - P (Z < 0)
P (1,200 < X < 1,215) = Φ (0.6) - Φ (0)
P (1,200 < X < 1,215) = 0.7257 - 0.5
P (1,200 < X < 1,215) = 0.2257
Therefore, the probability that the sample mean will be between 1,200 and 1,215 is 0.2257.
(d) the probability that the sample mean will be greater than 1,200
P (X > 1,200) = P (Z > (1,200 - 1,200) / 25)
P (X > 1,200) = P (Z > 0)
P (X > 1
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Which representation would be best for determining between which two values 50% of data will lie
The representation that would be best for determining the two values that 50 % of the data will lie is C. Interquartile Range
What is the interquartile range ?The interquartile range (IQR) is a measure of the dispersion of a dataset. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset. The interquartile range provides a measure of the spread of the middle 50% of the data, as opposed to the range which measures the spread of the entire dataset.
The interquartile range is useful because it is not affected by outliers or extreme values, unlike the range. It is therefore a more robust measure of dispersion and is often used in statistics and data analysis.
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Options for this question include:
Data range Median Inter-quartile range Sample size0.02 X 100 = 0.02 X_____=_____
Answer:
0.02 × 100 = 2
Step-by-step explanation:
move the decimal 2 steps backward according to the numbers of zeros behind the multiplier(100).
0.02 × 100 = 2
please mark brainliest
What is the measure of the missing angle?
Answer:
42 or 48
Step-by-step explanation:
It's a acute angle so it's that one or that one.
Answer:
42 degrees
Step-by-step explanation:
180-132 = 48
90 + 48 = 138
180 - 138 = 42
Which of the following is an example of a conditional statement?
Answer:
The correct answer is A, If I practice football, then I will improve.
Which law would you use to simplify the expression x49
Answer:
im not sure hehe
Step-by-step explanation:
power of a quotient?
What do you call a line segment which passes throughthe center of the circle from on side to the other?
\({\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}\)
DiameterAnswer:
diameter of the circle
Step-by-step explanation:
A chord that passes through a circle's centre is a diameter of the circle.
help pleeaseee? ty babez
Answer: I think it’s 1/10
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
3-2=1
10-5=5
hope this helps
mega mart sells a large 5kg cake for $2500 while a 2kg chocolate cake cost $1200 what is the cheapest price sam would payfor 10kg of cake for the party
The cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.
To find the cheapest price Sam would pay for 10kg of cake for the party, we need to compare the prices of the available cakes and determine the most cost-effective option.
At Mega Mart, a 5kg cake costs $2500.
Therefore, the price per kilogram for this cake is:
Price per kilogram at Mega Mart = $2500 / 5kg = $500/kg.
At the same time, a 2kg chocolate cake costs $1200.
So, the price per kilogram for this cake is:
Price per kilogram for the chocolate cake = $1200 / 2kg = $600/kg.
Now, let's calculate the total price for 10kg of cake from each option:
Total price at Mega Mart for 10kg = $500/kg \(\times\) 10kg = $5000.
Total price for 10kg of chocolate cake = $600/kg \(\times\) 10kg = $6000.
Comparing the two options, we see that the Mega Mart cake is the more cost-effective choice.
Sam would pay a total of $5000 for 10kg of cake from Mega Mart, whereas the chocolate cake would cost $6000 for the same quantity.
Therefore, the cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.
In summary, Sam would pay the cheapest price of $5000 to purchase 10kg of cake for the party from Mega Mart.
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Need help ASAP
the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)
Answer:
me too (help)
Step-by-step explanation:
kofi earned 50 cedis mowing lawn. today, kofi earned 60% of what he earned yesterday mowing lawns. how much money did kojo earn mowing lawn today
Answer:
Kofi earned today = 30 cedis
Step-by-step explanation:
Given:
Kofi earned yesterday = 50 cedis
Kofi earned today = 60% of Kofi earned yesterday
Find:
Kofi earned today
Computation:
Kofi earned today = 60% of Kofi earned yesterday
Kofi earned today = 60% x 50
Kofi earned today = 0.60 x 50
Kofi earned today = 30
Kofi earned today = 30 cedis
HELP ME PLEASEEEEEEEEEE
Answer:
(5,-4)
Step-by-step explanation:
Move the point T three units to the right. It's (x, y), so (5,-4) is the answer.
The conditional statement below is true. If possible, write the biconditional statement.
If 2x = 18, then x = 9.
The biconditional statement for the given conditional statement would be:
2x = 18 if and only if x = 9.
The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".
To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.
If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.
Based on this, we can write the biconditional statement:
2x = 18 if and only if x = 9.
The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.
In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.
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A password with 6 characters is randomly selected from the 26 letters of the alphabet.
What is the probability that the password does not have repeated letters, expressed to the nearest tenth of a percent?
We can see here that the probability that the password does not have repeated letters, expressed to the nearest tenth of a percent is = 9.8%.
What is probability?Probability is a measure of how likely an event is to happen. It is expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain.
The probability of an event can be calculated using the following formula:
Probability = Favorable Outcomes / Total Outcomes
The number of possible passwords is:
26 × 26 × 26 × 26 × 26 × 26 = 308,915,776.
The number of passwords with no repeated letters is
26P6 = 30,260,000.
The probability of a password having no repeated letters is
= 30,260,000 / 308,915,776 = 0.09779 = 9.78%.
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Solve for x
(4x + 10)
(5x - 13)
Answer:
x = -2.5
x = 2.6
Step-by-step explanation:
4x = -10
divided both by 4
x = -2.5
5x = 13
divided by both 5
x = 2.6
The electrical resistance varies directly as the square of the voltage (V
) and inversely as the electric power (P
). If the voltage is 20
volts and the electric power is 5
watts, then the electrical resistance is 80
ohms.
The electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.
The electrical resistance is the measure of the difficulty in passing electric current through a wire or an electrical component. It depends on various factors, such as the material, dimensions, and temperature of the wire.The given statement says that the electrical resistance varies directly as the square of the voltage and inversely as the electric power.
In mathematical terms, this relationship can be expressed as R ∝ V²/PR = kV²/P where R is the electrical resistance, V is the voltage, P is the electric power, and k is the constant of proportionality. The constant k depends on the material, dimensions, and temperature of the wire or component.
The given statement implies that the constant k is the same for the given wire or component, and it is not affected by the voltage or the power.To find the value of k, we can use the given values of V, P, and R.
According to the statement, if the voltage is 20 volts and the electric power is 5 watts, then the electrical resistance is 80 ohms. Therefore,R = kV²/PR = k(20²)/5R = 400k/5R = 80 ohms
Substituting the value of R in the equation, we get80 = 400k/5k = (80 x 5)/400k = 1. Therefore, the equation that relates the electrical resistance, voltage, and power isR = V²/PThe constant of proportionality k is 1 for the given wire or component.
Therefore, the electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.
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Compute the mean and standard deviation of the the random variable with the given discrete probability distribution.
The mean and standard deviation of the random variable with the given discrete probability distribution are:
Mean = 151.5
SD = 17.224
Here is how we calculated the above
Using the formula for the mean of a discrete probability distribution
μ = Σ (x * P (x) )
Here,
Σ = Sum of all possible values of x
μ = mean
So
μ = (120 x 0.30) + (150 x 0.30) + (170 x 0.15) + ( 180 x 0.25)
μ = 36 + 45 + 25.5 + 45
μ = 151.5
To compute the standard deviation, we used the formula
σ = √[Σ ( (x - μ)² * P(x )) ]
σ = √[( (120 - 151.5)² x 0.30) + (( 150 - 151.5)² x 0.30) + ((1 70 - 151.5)² * 0.15) + ((180 - 151.5)² * 0.25 )]
Simplified, this results in
SD (σ) = 17.224
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Nicolas deposited $900 into an account that pays 6.48% annual interest compounded annually. The balance in the account after 10 years was $1686.25? What was the overall percent increase in the account balance from the initial deposit at the end of 10 years?
The overall percentage increase in the account balance from the initial deposit at the end of 10 years is $786.25 which is 87.36%.
What is compound interest?
The interest on savings that is computed on both the initial principal and the interest accrued over time is known as compound interest. Compound interest is computed by multiplying the starting principal amount by one and the annual interest rate is raised to the number of compound periods minus one. The final step is to deduct the initial loan principal from the calculated value.
When the amount compounds quarterly, it means that the amount compounds 4 times in a year. i.e., n = 4. We use this fact to derive the quarterly compound interest formula. Thus, the quarterly compound interest formula is:
A = P (1 + r/4)4t
Nicolas deposited $900 into an account that pays 6.48% annual interest compounded annually.
The balance in the account after 10 years was $1686.25.
INCREMENT in 10 years is 1686.25-900 = $786.25
So the percentage increment will be 900-786.25/ 900 = 87.36%
Hence, the overall percentage increase in the account balance from the initial deposit at the end of 10 years is $786.25 which is 87.36%.
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Divide −91 by −13. Determine the correct sign of the quotient.
Obwód narysowanego obok sześciokąta wynosi 72 cm. Oblicz długości wszystkich jego boków.
Answer:
72 cm ze wszystkich stron
Step-by-step explanation:
promień jest równy bokom kształtu.
Which number has only two factors?
A
23
B
27
C
25
D
21
Answer:
a 23
Step-by-step explanation:
Help help help help
Answer:
-1
Step-by-step explanation:
(2x2 − x) + (x2 + 3x − 1)
5x2+2x−1+(4x2−x+2)
(3x2+2x+1)+(x2−1)
−x2−1 +(4x2−x)
some one tell me the sum for all of them please i beg of you all
Solve and check
please please help i will mark u as a brill it is easy please
Answer:
P= 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
p + 86 = 100
p = 100 - 86
p = 14
Jeremiah has $35 to spend on items for his dog at the pet store.
The table shows the cost of the items. He bought a collar, two toys,
two biscuits, and a ball. Write an addition equation that can be used
to determine how much money Jeremiah still has to spend. Then
solve the equation.
The equation that determines the amount x that Jeremiah still has to spend is given as follows:
c + 2t + 2bi + ba + x = 35
x = 35 - (c + 2t + 2bi + ba).
In which:
c is the cost of a collar.t is the cost of a toy.bi is the cost of a biscuit.ba is the cost of a ball.How to obtain the amount that Jeremiah still has to spend?The amount that Jeremiah still has to spend is obtained applying the proportions in the context of the problem.
Considering the meaning of each variable given in this problem, the equation modeling his total spending is given as follows:
c + 2t + 2bi + ba + x = 35
The solution is obtained isolating the variable x, as follows:
x = 35 - (c + 2t + 2bi + ba).
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