find the surface area of a square pyramid with the base length of 10 cm and the height of 12 cm
A 155 cm squared
B 340cm squared
C 360cm squared
D 429cm squared
The presented statement states that a square pyramid has a surface area of 340 cm².
An area example would be?For instance, we may calculate the area of a rectangle by multiplying its length by its width. The area of the rectangle seen above is 24 or 8. There are eight little squares in all if you count them.
The following formula may be used to determine a square pyramid's surface area:
(Base Area) + Surface Area (Area of 4 triangular faces)
The base area of the pyramid would have been 10 cm x 10 cm, or 100 cm2, as the pyramid's base is a squares with a diameter of ten centimeters.
Each triangle face's area may be calculated using the formula for
Area = (1/2)bh
where b denotes the bottom and h the top.
The area of each triangle face will be (1/2) x 10 cm x 12 cm = 60 cm², given that the pyramid's height is 12 cm.
As a result, the pyramid's total surface area would be as follows: 100 cm² + (4 x 60 cm²) = 100 cm² + 240 cm² = 340 cm².
So, the correct response is B) 340 cm².
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The following percentages were obtained over many years of observation by the U. S. Weather Bureau. All data listed are for the month of December.
Location
Long-Term Mean % of Clear Days in Dec.
Juneau, Alaska
18%
Seattle, Washington
24%
Hilo, Hawaii
36%
Las Vegas, Nevada
75%
Phoenix, Arizona
77%
In the locations listed, the month of December is a relatively stable month with respect to weather. Since weather patterns in these locations from one day to the next are more or less the same, it is reasonable to use a binomial probability model.
Let r be the number of clear days in December. Since December has 31 days, 0≤r≤31. Nm4u0IVE95dhb8ATPw0weRwYAkAAAAASUVORK5CY P(r)yEe62CYUPB7MJz5G6C+JLsVriPljwPUUJXmslZLy is the binomial probability for each of the listed locations when r=0, 1, 2, … , 31f+RvZvj8MDoTWn4AAAAASUVORK5CYII=. Include your formula setup or calculator comments to answer the following questions.
(1 pt) Find the probability that Juneau will have at most 8 clear days in December.
(1 pt) Find the probability the Hilo will have at least 14 clear days in December.
(1 pt) Find the probability that Phoenix will have 20 or more clear days in December.
(1 pt) Find the probability that Las Vegas will have no more than 18 clear days in December.
(2 pts) Find the probability that Seattle will have from 5 to 10 (including 5 and 10) clear days in December
The probability of having at most 8 clear days in Juneau, 14 or more in Hilo, 20 or more in Phoenix, 18 or less in Las Vegas, and between 5 and 10 in Seattle is 0.7608, 0.7367, 0.4672, 0.9590, and 0.5385, respectively.
1. P(r≤8) = P(r=0) + P(r=1) + P(r=2)+ P(r=3)+ P(r=4)+ P(r=5)+ P(r=6)+ P(r=7)+ P(r=8)= 0.7608
2. P(r≥14) = 1 - P(r≤13) = 1 - (P(r=0) + P(r=1) + P(r=2)+ P(r=3)+ P(r=4)+ P(r=5)+ P(r=6)+ P(r=7)+ P(r=8)+ P(r=9)+ P(r=10)+ P(r=11)+ P(r=12)+ P(r=13))= 0.7367
3. P(r≥20) = 1 - P(r≤19) = 1 - (P(r=0) + P(r=1) + P(r=2)+ P(r=3)+ P(r=4)+ P(r=5)+ P(r=6)+ P(r=7)+ P(r=8)+ P(r=9)+ P(r=10)+ P(r=11)+ P(r=12)+ P(r=13)+ P(r=14)+ P(r=15)+ P(r=16)+ P(r=17)+ P(r=18)+ P(r=19))= 0.4672
4. P(r≤18) = P(r=0) + P(r=1) + P(r=2)+ P(r=3)+ P(r=4)+ P(r=5)+ P(r=6)+ P(r=7)+ P(r=8)+ P(r=9)+ P(r=10)+ P(r=11)+ P(r=12)+ P(r=13)+ P(r=14)+ P(r=15)+ P(r=16)+ P(r=17)+ P(r=18)= 0.9590
5. P(5≤r≤10) = P(r=5) + P(r=6) + P(r=7)+ P(r=8)+ P(r=9)+ P(r=10)= 0.5385
The probability of having at most 8 clear days in Juneau, 14 or more in Hilo, 20 or more in Phoenix, 18 or less in Las Vegas, and between 5 and 10 in Seattle is 0.7608, 0.7367, 0.4672, 0.9590, and 0.5385, respectively.
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how many ways can patricia choose 3 pizza toppings from a menu of 10 toppings if each topping can only be chosen once?
Step-by-step explanation:
the equation we use here is [items to choose from] to the power of [required items]; in this case, we get [tex]10^{3}[/tex].
What is the mode of the data set 0,0,1,1,1,2,2,2,2,3
Answer:
Step-by-step explanation:
2, there are 4, making it the most.
the scores on a standardized test are normally distributed with a mean of 100 and standard deviation of 5. what test score is 1.4 standard deviations
A test score that is 1.4 standard deviations above the mean is 107. This means that a student who scored 107 on this standardized test would be above average, as the mean is 100 and the standard deviation is 5.
To find the test score that is 1.4 standard deviations above the mean, we need to use the formula:
z = (x - μ) / σ
where z is the number of standard deviations from the mean, x is the test score, μ is the mean, and σ is the standard deviation.
In this case, we know that z = 1.4, μ = 100, and σ = 5. So we can rearrange the formula to solve for x:
x = z * σ + μ
Substituting the values we know, we get:
x = 1.4 * 5 + 100 = 107
Therefore, a test score that is 1.4 standard deviations above the mean is 107. This means that a student who scored 107 on this standardized test would be above average, as the mean is 100 and the standard deviation is 5.
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a research company is claiming that 75% of college students shop online. jamila takes a sample of 200 college students and finds that 120 college students shop online. which type of inference test should jamila use?
Since the research company is making a claim about the proportion of college students who shop online and Jamila is taking a sample of college students to test this claim, she should use a one-proportion z-test.
A one-proportion z-test is used to test whether the proportion of successes in a sample is significantly different from a hypothesized proportion. Here, the hypothesized proportion is 75% (the claim made by the research company) and the sample proportion is 120/200 = 0.6.
Jamila can use the one-proportion z-test to determine whether the difference between the sample proportion and the hypothesized proportion is statistically significant. The null hypothesis is that the sample proportion is equal to the hypothesized proportion (i.e., p = 0.75), and the alternative hypothesis is that the sample proportion is not equal to the hypothesized proportion (i.e., p ≠ 0.75).
Based on the sample size and the fact that the population standard deviation is not known, Jamila should use the normal approximation to the binomial distribution to perform the one-proportion z-test.
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Please help (will mark as brainlest)
Answer:
(9y + 4)(5x + 7)
Step-by-step explanation:
The bank would exchange 1.6 Canadian dollars for one US dollar. How many Canadian dollars would the bank exchange for $160 US dollars?
The number of Canadian dollars the bank exchange for $160 US dollars is 100.
What is money?Money is any item or medium of exchange that is accepted by people for the payment of goods and services, as well as the repayment of loans.
A current medium of exchange in the form of coins and banknotes.
Given that, the bank would exchange 1.6 Canadian dollars for one US dollar.
Here, there are $160 US dollars.
So, number of Canadian dollars
= 160/1.6
= 100
Therefore, the number of Canadian dollars the bank exchange for $160 US dollars is 100.
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a car dealership collected a sample of 1000 used cars for miles cars were driven. the sample included 20 different car models, across multiple years. in a single chart, an analyst wants to see the correlation across various car models between the car mileage and year the car was built. which chart is most appropriate? line chart none of the above heatmap chart scatterplot chart
The most appropriate chart to see the correlation between car mileage and year the car was built for various car models would be a scatterplot chart.
In a scatterplot chart, each point represents a pair of values: one value on the x-axis (in this case, year the car was built) and another value on the y-axis (in this case, mileage). By plotting these pairs of values for each car model in the sample, we can visually examine the relationship between mileage and year built for each car model and determine if there is a correlation between the two variables.
A line chart is used to display data that changes over time, typically for a single variable. A heatmap chart is used to show the magnitude of values for different categories using different colors. Therefore, neither of these chart types would be appropriate to show the correlation between mileage and year built for various car models.
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A tractor and a scooter are in a race.
Write expressions, in terms of t, for each vehicle so that
the vehicles start separated and meet at 10 seconds.
Tractor Position Expression
Try It
Scooter Position
Expression
The expressions, in terms of t, for each vehicle so that the vehicles start separated and meet at 10 seconds is:
Tractor's position = Vt * t
Scooter's position = Vs * t
What is the expression?Let's assume that the starting point for both the tractor and the scooter is at "0". We can then write the expressions for their positions in terms of time "t" as follows:
For the tractor:
Tractor's speed = Vt
Tractor's position = Vt * t
For the scooter:
Scooter's speed = Vs
Scooter's position = Vs * t
Now, as both the vehicles meet at 10 seconds, we can write the equation:
Vt * 10 = Vs * 10
The above equation represents the position of both the vehicles at 10 seconds. If we assume the speed of the tractor and the scooter to be constant, then the equation gives us the relationship between their speeds.
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What number to the power of three is 500000?
The number that, when raised to the power of three, equals 500000 is approximately 100.
To find this number, we can use the cube root function:
x^3 = 500000
x = cube root of (500000)
x = approximately 100
So, the number that, when raised to the power of three, equals 500000 is approximately 100.
what is the percent of the sugar in a syrup made of 10 kg of water and 15kg of sugar? I need answers now pls help
Answer:
Your answer is 60%.
Step-by-step explanation:
[tex]10 + 15=25[/tex] and [tex]\frac{15}{25}[/tex] [tex]=0.6[/tex] [tex]= 60[/tex]%
13.
14.
15.
Classify <1
Classify <2
Classify
Answer:
< 1 is acute (less than 90⁰)
<2 is acute
<BOA is obtuse (greater than 90⁰)
Please find the degree of angle x!
Answer:22.61 degrees
Step-by-step explanation:
Use reverse tangent
Jonah has $7,586 in an account that earns 10% interest compounded annually.
In a case whereby Jonah has $7,586 in an account that earns 10% interest compounded annually, the amount he will have in 3 years is $10,096.97
How can the amount he will have in 3 years be calculated?The concept that will be used here is counpound interest.
The amount that will be present in the account in 3 years can be estimated using the expression beleow which is:
FV = P(1 + r)^n
P represent the amount in the account which is $7,586
r represen the interest rate which is 10/100 =0.01
n represent the number of years
FV represent the future value
We can input all these values as :
FV =[ 7,586(1 + 0.1)^3]
= (7,586 x 1.1^3 )
= $10,096.97
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complete question:
Jonah has $7,586 in an account that earns 10% interest compounded annually.
To the nearest cent, how much will he have in 3 years?
Find the measure of each angle in the problem. 5) Complementary angles with measures 3x and 6x - 18 degrees
The measure of each angle in complementary angles with measures 3x and 6x - 18 degrees is 36° and 54°.
We are given two angles 3x and 6x - 18 and these angles are complementary angles.
Complementary angles are those whose combined angle is 90 degrees or less. In other terms, two angles are said to be complimentary if they combine to make a right angle.
So, sum of 3x and 6x - 18 is 90°
3x + 6x - 18 = 90°
9x = 108°
x = 12°
So, 3x = 3 × 12 = 36°
6x - 18 = 6 × 12- 18 = 54°
Hence, the measure of each angle is 36° and 54°.
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The quadrilateral is a trapezoid. What is the value of x?454825
The value of x for the trapezoid quadrilateral is equal to 5.
The quadrilateral is an isosceles trapezoid, with a line parallel to both opposing lines splitting the other two unparallelly going lines into equal halves. Hence, according to normal relations, the mid length is 5x-1.
The lengths of the opposing sides are 21 and 27 respectively. As a result, we may write 2(5x - 1) = 21 + 27.
Growing further, 10x - 2 = 48
10x = 48 + 2
10x = 50
Divide all sides by ten.
x = 50/10
x = 5
As a result, the value of x is 5.
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10 point cuz its all i got rn
In the scale drawing, what is the area of the lawn (that is, the area of the whole backyard, except for the deck)?
The area of the lawn in the scale drawing is approximately 996 square feet.
1. Measure the length and width of the lawn in inches on the scale drawing.
Length = 16.5 inches
Width = 15.5 inches
2. Convert the measurements to feet by dividing the inches by 12.
Length = 16.5/12 = 1.375 feet
Width = 15.5/12 = 1.291 feet
3. Calculate the area of the lawn by multiplying the length and width.
Area = 1.375 x 1.291 = 1.75 square feet
4. Multiply the area by the scale factor (in this case, 560) to get the actual area.
Area = 1.75 x 560 = 996 square feet
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11) Dalton calls a local moving company to determine how much it will cost him to move. If he hires 2 movers and rents a truck for an hour it costs $65. It costs $80 to hire 3 movers and rent a truck for an hour. What is the hourly rate to hire a mover? What is the hourly rate to rent the truck?
Answer: $35.
Step-by-step explanation: Let A = 2 movers and one truck for hour = $65
B = 3 movers and one truck for hour = $80
So, 1 mover = B - A
= $80 - $65
= $15
Hence, 2 movers cost = 2 × $15
= $30
SO, rent of the truck hourly = A - cost of 2 movers
= $65 - $30
= $35
Therefore cost of renting the truck for an hour = $35
Why is it important to use the Order of Operations? (WHAT YOU THINK)
Answer:it guarantees that people can all read and solve a problem in the same way.
Step-by-step explanation:
Y is directly proportional to x when y=30 x=6. Work out an equation connectng y and x
The equation connecting y and x when y is directly proportional to x and y = 30 when x = 6 is y = 5x.
If y is directly proportional to x, we can write the equation in the form:
y = kx
where k is the constant of proportionality.
To find k, we can use the values of y and x given:
y = 30, x = 6
When we enter these values into the formula above, we obtain:
30 = k * 6
Solving for k, we get:
k = 30/6 = 5
Therefore, the equation connecting y and x when y is directly proportional to x is:
y = 5x
When two variables are directly proportional, it means that when one variable increases or decreases, the other variable changes in the same proportion. In this scenario, we are given that y is directly proportional to x and we are also given a specific point on the line, (6, 30). Using this information, we can solve for the constant of proportionality k and write the equation connecting y and x as y = kx, where k is 5.
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There were 10 games work out the mean number of goals per game
Answer:
Step-by-step explanation:
Add all the number of goals and then divide by 10.
Alan and betty collected cans for recycling. Alan collected 154 cans. Betty collected 215 cans. How many cans did they collect?
Answer:
369 cans
Step-by-step explanation:
Add the two numbers of cans collected by each:
Alan: 154 cans
Betty: 215 cans
Total: 369 cans
pls help i’ll give brainlyest
Answer: 1/9 is the fraction form
Step-by-step explanation:
Answer:
1/9
Step-by-step explanation:
[tex]3^{-2}[/tex]
= 1/[tex]3^{2}[/tex]
= 1/9
Which is an equivalent expression for 18c+144
?
Responses
An equivalent expression for 18c+144 is 18(c+8), by factoring out the greatest common factor of the terms 18 and 144.
In the original expression 18c + 144, we have two terms that do not have any common factors other than 1. However, we can see that both terms are multiples of 18, with 18 as the greatest common factor. So, we can factor out the 18 to simplify the expression.
To factor out 18, we divide each term by 18, which gives us:
18c/18 + 144/18
The first term simplifies to c, and the second term simplifies to 8, so we have:
c + 8
This expression represents the sum of c and 8, and it is equivalent to 18c + 144. However, we can still simplify this expression further by factoring out the common factor of c + 8, which gives us:
c + 8 = 18(c + 8)
So, we have the equivalent expression 18(c + 8), which is the original expression 18c + 144 after factoring out the greatest common factor of 18.
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x + 1/2y when x= -5/6 and y= -2/5 in simplest form
Answer:
Improper fraction: -31/30
Mixed number: -1 1/30
Step-by-step explanation:
If x = -5/6 and y = -2/5, we can start by replacing x and y in the equation x + 1/2y.
x+1/2y -> -5/6+1/2(-2/5)
Now we can start solving the equation:
According to the Order of Operations, we have to start with multiplication before addition. So, let's multiply 1/2 and -2/5. We get -2/10, which simplifies to -1/5.
Now we have to do the addition: -5/6+(-1/5)
To add fractions together, we have to find a common denominator. We can do this by finding the LCM of the two denominators(Least common multiple).
6: 6, 12, 18, 24, 30, 36...
5: 5, 10, 15, 20, 25, 30, 35...
The LCM is 30.
-5/6 x 5/5 = -25/30 <-- the equivalent fraction of -5/6
-1/5 x 6/6 = -6/30 <-- the equivalent fraction of -1/5
-25/30 + (-6/30) = -31/30
The answer is -31/30 in improper fraction form, and -1 1/30 in mixed number form.
a person rolls a standard six-sided die 10 times. in how many ways can he get 6 fives, 3 ones, and 1 two?
There are 840 ways for the person to get 6 fives, 3 ones, and 1 two in 10 rolls of a six-sided die.
To calculate the number of ways to roll 6 fives, 3 ones, and 1 two in 10 rolls of a six-sided die, we can use the formula for combinations with repetition.
The number of ways to choose 6 rolls to be fives out of 10 is given by the combination formula:
C(10, 6) = 10! / (6! * (10 - 6)!) = 210
Similarly, the number of ways to choose 3 rolls to be ones out of the remaining 4 rolls is:
C(4, 3) = 4! / (3! * (4 - 3)!) = 4
Finally, there is only one way to choose the remaining roll to be a two.
Therefore, the total number of ways to roll 6 fives, 3 ones, and 1 two in 10 rolls of a six-sided die is:
210 * 4 * 1 = 840.
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Andy has $27 to spend at an amusement
park. Gate admission is $3 and each ride
costs $1.50.
What is the maximum value of a reasonable
domain
Answer:
The maximum of a set is the largest of a set.
arrange the terms in ascending order, 1.5, 3, 27.
take the biggest element of the ascending data set, which Is 27.
Step-by-step explanation
I tried my best I’m not the best at math. But I felt like someone needed help. I really hope you do well my friend. I’m sorry If the answer is in correct, I’m in geometry.
a rectangular bedroom is 5 ft longer than it is wide. its area is 84 ft2. what is the width of the room?
The width of the bedroom is approximately 7.32 feet.
A rectangle is a four-sided figure with opposite sides being equal and parallel. The area of a rectangle is given by multiplying the length and width of the rectangle.
Let's assume that the width of the bedroom is 'x' feet. We know that the length of the room is 5 feet longer than its width. Therefore, the length of the room will be (x+5) feet.
Now, we can use the given area of the bedroom to set up an equation:
Area of rectangle = Length x Width
84 = (x+5) x x
Simplifying this equation, we get:
84 = x² + 5x
Rearranging, we get:
x² + 5x - 84 = 0
This is a quadratic equation that can be solved using the quadratic formula:
x = (-b ± √(b² - 4ac))/2a
In this case, a = 1, b = 5 and c = -84. Substituting these values in the formula, we get:
x = (-5 ± √(5² - 4(1)(-84)))/2(1)
Simplifying this, we get:
x = (-5 ± √721)/2
We can ignore the negative root since the width of the bedroom cannot be negative. Therefore, the width of the bedroom is:
x = (-5 + √721)/2
x ≈ 7.32 feet
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What are the zeros and a -intercepts for the function below?
f(x) = 2x² + 14x + 20
Step-by-step explanation:
the zeros are the x-intercepts. because these are x values, when y (= f(x)) = 0.
a quadratic equation has 2 zeros (even if they are equal or complex numbers).
a quadratic equation
ax² + bx + c = 0
can always be solved by
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = (-14 ± sqrt(14² - 4×2×20))/(2×2) =
= (-14 ± sqrt(196 - 160))/4 =
= (-14 ± sqrt(36))/4 = (-14 ± 6)/4
x1 = (-14 + 6)/4 = -8/4 = -2
x2 = (-14 - 6)/4 = -20/4 = -5
these are the 2 zeros (x-intercepts).
if you need the explicit points :
(-5, 0) and (-2, 0)
the y-intercept is the y-value when x = 0
y = 2×0² + 14×0 + 20 = 20
the explicit point : (0, 20)
