Answer:
The car is driving at 68 miles per hour.
Step-by-step explanation:
Notice how every hour the car drives another 68 miles? That's how you know the speed of the car.
Also MPH = Distance/Time = 340/5 = 68
Answer:
well if i did the math correctly it is 68 mph
Step-by-step explanation:
What are the coordinates of the image of point K(1, 3) after a reflection over the line y = –1
Answer:
1, -5
Step-by-step explanation:
you can this solve easily
3 - -1 = 4 units down from y = -1
x does not change in this reflection
The event of you going to work is a and the event of you taking leave is b. if these events are mutually exclusive events, using p(a)=0.55, and p(b)=0.10, what is p(a|b)?
The events are mutually exclusive events, so P(A|B) is 0.
In this question,
If two events are mutually exclusive, there is no chance that both events will occur. Being the intersection an operation whose result is made up of the non-repeated and common events of two or more sets, that is, given two events A and B, their intersection is made up of the elementary events that they have in common, then
⇒ A ∩ B = 0
Now the conditional probability, P(A|B) = \(\frac{P(A \cap B )}{P(B)}\)
⇒ \(\frac{0}{0.10}\)
⇒ 0.
Hence we can conclude that the events are mutually exclusive events, so P(A|B) is 0.
Learn more about events and conditional probability here
https://brainly.com/question/17028709
#SPJ4
Maureen made a two-layer cake for her brother's graduation party. Both layers are 1
1
2
inches tall and shaped like rectangular prisms. The bottom layer is 24 inches long and 16 inches wide, while the top layer is 20 inches long and 12 inches wide.
What is the total volume of the cake?
Write your answer as a whole number, proper fraction, or mixed number.
The volume of the rectangular cake is 936 cubic inches.
What is volume of composite figures?Any form that is constructed from two or more geometric shapes is referred to as a composite or compound shape.
The procedures described below can be used to determine the volume of the composite shapes:
First, separate the composite form into its component parts.
Step 2: Calculate each fundamental shape's volume.
Step 3: Merge all of the fundamental forms' volumes.
Write the answer in cubic units in step four.
Given that, the height of the cake was 1 1/2.
Converting the mixed fraction into improper fraction we have:
1 1/2 = 3/2 inches.
The volume of the rectangle is given as:
V = (l)(w)(h)
The volume of the bottom layer of the cake is:
V = (24)(16)(3/2)
V = 576 cubic inches
The volume of the top layer is:
V = (20)(12)(3/2)
V = 360 cubic inches
The volume of the entire cake is:
V = Volume of bottom layer + volume of top layer
V = 576 + 360
V = 936
Hence, the volume of the rectangular cake is 936 cubic inches.
Learn more about volume here:
https://brainly.com/question/2098026
#SPJ1
maeve has 2 cubic meters of soil does she have enough to fill a garden bed with the dimmension 4m by 2 m by 30 cm
Answer:
no
Step-by-step explanation:
cause she will need (4 x 2) X 30
please help me with part two
Answer: 17
Step-by-step explanation:)
six is what percentage of ten?
Answer: 60%
Step-by-step explanation:
6/10 = 60/100 = 60%
Answer: 60%
Step-by-step explanation:
6/10=60/100
to be considered abnormal height a 20 year old must be 2.1 feet below average or 2.1 feet above average. if the average height is 5.8 feet, at what heights (in interval notation) would a 20 year old be considered abnormal?
A 20 year old has height below 3.7 feet and above 7.9 feet then 20 year old be considered abnormal.
The average height means that the given population determined by the interaction between the environment in which it lives and the resources it commands.
Abnormal means diffrent from what is normal or usual, in a way that worries you or that is unplesant.
We have given that average height is 5.8 feet.
And abnormal height a 20 year old must be 2.1 feet below average height or 2.1 feet above average height.
Therefore 5.8 - 2.1 = 3.7 feet
5.8 + 2.1 = 7.9 feet
Hence height below 3.7 feet abd above 7.9 feet is considered to be abnormal.
That means [-∞ , 3.7] and [7.9,∞] is considered to be abnormal height for 20 year old man.
To know more about height here
https://brainly.com/question/29813273
#SPJ4
Solve for m 5m+35=70
Answer:
m=7
Step-by-step explanation:
subract 35 from both sides to isolate the variable. Then you should be left with 5m=35. From there, divide both sides to isolate the variable even more, and you should be left with m=35/5 which is 7.
Answer: m=7
Step-by-step explanation:
\(5m+35=70\)
subtract 35 on both sides
\(5m+35-35=70-35\)
\(5m=35\)
divide 5 on both sides
\(35/5=7\)
\(m=7\)
At the end of the week, Warren records the weight in pounds of doggie treats eaten as a negative rational number.Plot the numbers of pounds eaten each week on the numberline. Order the numbers from most pounds eaten to fewest pounds eaten
A number line is a system of showing the locations or positions of directed numbers from the mid point (0).
The plotted number line required is attached to this answer.The order of the numbers from most to fewest pounds eaten is:\(-\frac{3}{2}\), \(-\frac{5}{4}\), \(-\frac{2}{3}\), \(-\frac{1}{2}\)
A number line is a system used to show the appropriate locations of directed numbers from the origin (0). A directed number is a number which is either positive or negative. Examples are: -4, 2, 5, -9, \(\frac{1}{2}\), +4, +1, etc.
Considering the given question, the given weights in pounds of dogie eaten are:
\(-\frac{2}{3}\), \(-\frac{3}{2}\), \(-\frac{1}{2}\), \(-\frac{5}{4}\)
To determine the order from most to fewest pound eaten:
the lowest common factor of the given weights is 12, so that;
\(\frac{-8, -18, -6, -15}{12}\)
Thus, the order from most pound eaten to fewest pound eaten is:
\(-\frac{3}{2}\), \(-\frac{5}{4}\), \(-\frac{2}{3}\), \(-\frac{1}{2}\)
The number line to show the positions of the numbers is attached to this answer for more clarifications.
For more on number system, check: https://brainly.com/question/12399107
20 PIONTSSS TO WHOEVER ANDWER THIS QUESTION !!!
Answer:
The answer would be 36cm².
Step-by-step explanation:
⇒ Two prisms are similar.
⇒ Scale factor = 3:8
⇒ The ratio of the surface area is 9:64.
⇒ So S₁ : S₂ = 9:64
⇒ S₁ : 256 = 9:64
⇒ S₁ = 36cm²
This would mean that the answer is 36 centimeters ² (squared).
60 devided by n=12 wwwwwwwwwwwwwww
Answer: N IS 5!!
Step-by-step explanation: TRUST ME IM GOOD AT MATH!!!!
Answer:
60 ÷ 5 = 12
So I guess 5 is the answer your looking for?
How could the numbers 2, 3, 4, and 5 be used to get 10?
es
1)
A
2(4) - 3 + 5
2 +3-4 + 5
5-2-3+ 4
B)
D)
5(3)- 2(4)
Answer:
2(4)-3+5
Step-by-step explanation:
8-3+5
13-3
10
Answer:
i would say a
Step-by-step explanation:
Can Someone please help me?
Answer:
$422
Step-by-step explanation:
sketch the region enclosed by the given curves. decide whether to integrate with respect to x x or y y . draw a typical approximating rectangle. y = 3 x 2 , y = 5 x − 2 x 2 y=3x2, y=5x-2x2
It is more convenient to integrate with respect to y.
What is the quadratic equation?
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
To sketch the region enclosed by the curves y = 3x² and y = 5x - 2x² and determine whether to integrate with respect to x or y, we can analyze the intersection points and the shape of the curves.
First, let's find the intersection points by setting the equations equal to each other:
3x² = 5x - 2x²
Combining like terms:
5x² - 5x = 0
Factoring out x:
x(5x - 5) = 0
Solving for x:
x = 0 or x = 1
So the curves intersect at x = 0 and x = 1.
Next, we can analyze the behavior of the curves to determine the orientation of the region.
For y = 3x², we have a parabola that opens upwards. This curve lies below the x-axis and is symmetric with respect to the y-axis.
For y = 5x - 2x², we have a downward-opening parabola. This curve lies above the x-axis and is symmetric with respect to the y-axis.
Based on this information, we can sketch the region enclosed by the curves.
The region enclosed by the curves is bounded by the curves themselves and the x-axis. It is the area between the curves from x = 0 to x = 1.
To determine whether to integrate with respect to x or y, we can observe that the region is vertically oriented, meaning it extends vertically between the curves.
Therefore, it is more convenient to integrate with respect to y.
To draw a typical approximating rectangle, we can choose a small interval along the y-axis and draw a rectangle that spans between the curves for that particular y-interval. This rectangle will represent an approximation of the region's area.
Hence, it is more convenient to integrate with respect to y.
To learn more about the quadratic equation visit:
brainly.com/question/28038123
#SPJ4
Find 6% tax of $12.50 *
Your answer
the mayor is interested in finding a 90% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. the study included 173 residents whose mean number of pounds of trash generated per person per week was 34.7 pounds and the standard deviation was 8.2 pounds. round answers to 3 decimal places where possible.
The 90% confidence interval for the mean number of pounds of trash per person per week in the city is estimated to be between 33.863 and 35.537 pounds.
CI = X± Z * (σ/√n),
where CI is the confidence interval, X is the sample mean, Z is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.
Step 1: Calculate the z-score for a 90% confidence level.
The confidence level is 90%, which means there is a 10% chance that the true mean falls outside the interval. To find the z-score corresponding to this confidence level, we can use a standard normal distribution table or a calculator. The z-score for a 90% confidence level is approximately 1.645.
Step 2: Calculate the confidence interval.
Given data:
Sample mean X = 34.7 pounds
Population standard deviation (σ) = 8.2 pounds
Sample size (n) = 173 residents
Substituting the values into the formula, we have:
CI = 34.7 ± 1.645 * (8.2/√173)
Calculating the values within the parentheses first:
8.2/√173 ≈ 0.623
Then, multiplying the z-score and the calculated value:
1.645 * 0.623 ≈ 1.025
Finally, calculating the lower and upper bounds of the confidence interval:
Lower bound = 34.7 - 1.025 ≈ 33.675
Upper bound = 34.7 + 1.025 ≈ 35.725
Rounded to 3 decimal places, the 90% confidence interval for the mean number of pounds of trash per person per week is estimated to be between 33.863 and 35.537 pounds.
Learn more about confidence interval : brainly.com/question/14366786
#SPJ11
The Hartman family is saving $400 monthly for Ronald’s college education. The family anticipates they will need to contribute $20,000 toward his first year of college, which is in 4 years. Which best explains whether the family will have enough money in 4 years?
The family will not have enough money. They will have saved only $16,000.
The family will not have enough money. They will have saved only $19,200.
The family will likely have enough money. They will have saved $16,000 and have accumulated interest.
The family will likely have enough money. They will have saved $19,200 and have accumulated interest.
The statement which best explains whether the family will have enough money in 4 years is; The family will not have enough money. They will have saved only $19,200.
SavingsAmount Hartman family saves monthly = $400Amount needed = $20,000Number of years = 4Number of months = 4 × 12 = 48Amount saved in 4 years = Amount Hartman family saves monthly × Number of months
= $400 × 48
= $19,200
Learn more about savings:
https://brainly.com/question/25787382
#SPJ1
The statement which best explains whether the family will have enough money in 4 years is; The family will not have enough money. They will have saved only $19,200.
SavingsAmount Hartman family saves monthly = $400Amount needed = $20,000Number of years = 4Number of months = 4 × 12 = 48Amount saved in 4 years = Amount Hartman family saves monthly × Number of months
= $400 × 48
= $19,200
Learn more about savings:
https://brainly.com/question/25787382
#SPJ1
pls help, MARK BRAINLEST with correct answer. Work out the surface area of this solid prism.
Answer:
Where's the prism? >︿<
Step-by-step explanation:
I really need help with this thing to please, if yall could answer like right now I would really appreciate it a lot.
How many cubic centimetres would you place in a tub of water to displace 1 L of water?
1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water
What is conversion of units?Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.
From the information given, we have that;
Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water
So, we have that there is 1 liter of water in the tub
In order to displace, you need to put something in that is the same amount
Now, let's convert the units
1 liter = 1000 cubic cm
Hence, you need 1000 cubic cm to displace 1 liter
Learn more about conversion of units at: https://brainly.com/question/141163
#SPJ1
Each cup of cooked brown rice has 216216216 calories and 555 grams of protein. Each cup of kidney beans has 220220220 calories and 161616 grams of protein. Which of the following systems of equations could be used to determine the amount of rice, rrr, in cups, and the amount of beans, bbb, in cups, that should be eaten in order to consume 435435435 calories and 18.2518.2518, point, 25 grams of protein? i. 216r+5b=435 ii. 220r+16b=18.25
The system of equations that can be used to determine the amount of rice and beans to consume in order to meet the desired calorie and protein intake is ii. 220r + 16b = 18.25.
To solve this problem, we need to consider the given information about the calories and protein content of rice and beans. Let's analyze the equations provided:
i. 216r + 5b = 435
In this equation, 216 represents the number of calories in one cup of rice, 'r' represents the number of cups of rice consumed, 5 represents the number of grams of protein in one cup of beans, and 'b' represents the number of cups of beans consumed. The equation equates the total calories from rice and beans (216r + 5b) to the desired calorie intake of 435. However, this equation does not account for the protein content.
ii. 220r + 16b = 18.25
In this equation, 220 represents the number of calories in one cup of beans, 'r' represents the number of cups of rice consumed, 16 represents the number of grams of protein in one cup of beans, and 'b' represents the number of cups of beans consumed. The equation equates the total calories from rice and beans (220r + 16b) to the desired calorie intake of 18.25. This equation also considers the protein content.
Therefore, the system of equations that can be used to determine the amount of rice and beans to consume in order to meet the desired calorie and protein intake is ii. 220r + 16b = 18.25.
Learn more about number here: https://brainly.com/question/28210925
#SPJ11
a rectangle's length is 5cm more than its width, if it has an area of 336 cm squared find the length
The length of the rectangle is 19 cm.
The formula for the area of a rectangle,
Area = Length x Width
Given that the area is 336 cm squared.
So, we can set up an equation,
⇒ 336 = (w + 5)w
where w represents the width of the rectangle.
Expanding this equation,
⇒ 336 = w² + 5w
Moving all terms to one side:
⇒ w² + 5w - 336 = 0
This is a quadratic equation that we can solve using the quadratic formula,
⇒ w = (-5 ± √(5² - 4(1)(-336))) / (2(1))
⇒ w = (-5 ± 23) / 2
We'll take the positive value,
⇒ w = 14
So, the width of the rectangle is 14 cm.
We also know that the length is 5 cm more than the width,
Therefore,
⇒ l = w + 5
⇒ l = 14 + 5
⇒ l = 19
Therefore, the length of the rectangle is 19 cm.
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ12
5. Suppose X 1and X 2are random variables with mean 10,20 respectively, and SDs 2, 3 respectively.
Let T=11X 1−2X2
Find the mean and SD of T when X 1and X 2are independent.
Find the mean and SD of T when X1and X 2 have correlation of
−0.76
In the case that X1and X 2 are independent, normally distributed
variables, find P(T>30)
The mean of T is -10 and the standard deviation of T is √425 when X1 and X2 are independent.
To find the mean of T, we can use the properties of expected values. Since T = 11X1 - 2X2, the mean of T can be calculated as follows: E(T) = E(11X1) - E(2X2) = 11E(X1) - 2E(X2) = 11(10) - 2(20) = -10. To find the standard deviation of T, we need to consider the variances and covariance of X1 and X2. Since X1 and X2 are independent, the covariance between them is zero. Therefore, Var(T) = Var(11X1) + Var(-2X2) = 11^2Var(X1) + (-2)^2Var(X2) = 121(2^2) + 4(3^2) = 484 + 36 = 520. Thus, the standard deviation of T is √520, which simplifies to approximately √425. When X1 and X2 have a correlation of -0.76, the mean and standard deviation of T remain the same as in the case of independent variables. To calculate the probability P(T > 30) when X1 and X2 are independent, normally distributed variables, we need to convert T into a standard normal distribution. We can do this by subtracting the mean of T from 30 and dividing by the standard deviation of T. This gives us (30 - (-10))/√425, which simplifies to approximately 6.16. We can then look up the corresponding probability from the standard normal distribution table or use statistical software to find P(T > 30). The probability will be the area under the standard normal curve to the right of 6.16.
Learn more about standard normal distribution here: brainly.com/question/32506784
#SPJ11
WORTH 20 POINTS If mABC = 250°, what is m∠ABC?
Answer:
55 degrees
Step-by-step explanation:
I've found a similar question to this, and the explanation is there.
https://brainly.com/question/14993673
m<ABC = 360-250= 110 degrees
"As we know that the measure of angle ABC is equal to half of mADC."
110/2 = 55 degrees.
This should be the answer.
how do you find a unit rate on a graph
Answer:
On a linear graph, the unit rate is obtained by calculating the slope of the line. On a curve, the unit rate is the slope of the line tangent to the.
write the equation of the line in slope intercept form that is perpendicular to y=5x+4 and passes through the origin please help with work
The answer would be
y=-1/5x
Hope this helps!
I you borrow 500 for 4 years at an annual interest rate of 6% HOW MUCH WILL YOU PAY altogether
Answer:
620
amount= p+i , to find interest .I=500*4*6/100 =120 amount=500+120=620
what is the difference between k means clustering and hierarchical clustering?
K-means clustering is an iterative algorithm that partitions a data set into k clusters, where k is predefined.
It works by first randomly selecting k points as cluster centers, also known as centroids. All points are then assigned to the nearest cluster center based on a distance metric, such as Euclidean distance. This process is repeated until the centroids no longer move, which is when the clusters have stabilized. The formula for calculating the distance between two points is d = sqrt((x1-x2)^2 + (y1-y2)^2).
Hierarchical clustering is a type of clustering algorithm that builds a hierarchy of clusters. It starts by assigning each point to its own cluster, then combines the two closest clusters and repeats the process. The calculation used to determine the distance between two clusters is the distance between their two closest points, also known as the single linkage method. The formula for calculating the distance between two clusters is d = min(d1, d2, ..., dn), where d1, d2, ..., dn are the distances between the two closest points in the two clusters.
Learn more about centroids here:
https://brainly.com/question/10708357
#SPJ4
SOMEONE PLEASE HELP ME W MY HOMEWORK
You need to determine the area of a garden which is in the shape of a right triangle.
The hypotenuse measures 25 feet and one of the acute angles measures 36 degrees. Round your answer to the nearest tenth.
Answer:
14.7 feet and 20.2 feet
Step-by-step explanation:
sin 36(25)=14.7
cos 36(25)=20.2
what is x3 - x2 - x + 1 = 0
x^3-x^2-x+1=0
The answer to this problem is x=1, and x=-1.
sorry i took so long to answer hope this helps you fam:)
x^3 +x^2 +x +1 = 0
=> x^2( x + 1) + 1(x + 1) = 0
=> (x^2 + 1)(x + 1) = 0
x + 1 = 0
=> x = -1
x^2 + 1 = 0
=> x^2 = -1
answer is...
x=1,x=-1