Answer:
60 degrees
Step-by-step explanation:
Similar shapes have the same angles but different side lengths.
Answer:
The answer is 60°
Step-by-step explanation:
Because pentagon JKLMN is basically the same as pentagon VWXYZ and if you see in the smaller pentagon the angle for L is 90° and same goes for the bigger pentagon
Part A. Dario purchased a party size sub, and he decides to share it with three of his friends. so he cuts the sub into four equal pieces. however another one of his friends also showed up, and they are now five people in total now that the sun will be shared equally among five people will each person get more or less sub briefly state why do you think so. Part B. Dario decide to take each one of the four pieces and shared equally among the five of them first he divides one piece into five equal parts in shares it then the next one and so on what fraction of the party say sub did each person get after all the parts were shared out explain your reasoning
Answer: 4/6 = 2/32/3 = 2/3
Step-by-step explanation: hope this help
Can you help me with this please
Recall that there are a finite number of shoe sizes, also, the sizes are positive numbers, but not necessarily integers.
Therefore, the function cannot be continuous, it must be discrete.
The function is not restricted to integers.
Answer: Options B and C.
The area of a circle is 4/pi cm. What is the circumference in centimeters express your answers in terms of pi
Answer:
4 cm.
Step-by-step explanation:
Area = pi r^2, so:
pi r^2 = 4 / pi
(pi)^2 r^2 = 4
r^2 = 4/ (pi^2)
r = 2/pi
Therefore, the circumference
= 2 pi r
= 2* pi * 2/pi
= 4
The following information regarding a dependent variable (Y) and an independent variable (X) is provided to help you fill in the following blanks.
Y X
4 2
3 1
4 4
6 3
8 5
SSE = 6
SST = 16
a. The least squares estimate of the Y intercept is .
b. The least squares estimate of the slope is .
c. The coefficient of determination is .
d. The coefficient of correlation is .
e. The MSE is .
The following information regarding a dependent variable (Y) and an independent variable (X) is provided in the following blanks in the image below.
A dependent variable is the variable that changes as a result of the independent variable manipulation. It's the outcome you're interested in measuring, and it “depends” on your independent variable. In statistics, dependent variables are also called: Response variables (they respond to a change in another variable) a) least square estimate of the Y intercept =2 b)least squares estimate of the slope is =1 c)coefficient of determination is 1-SSE/SST =0.625 d)coefficient of correlation is =(0.625)1/2 =0.7906 e) MSE =SSE/(n-2) =6/(5-2) =2
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Find the value of p.
-25 = -4p + 19
Answer:
9.75
Step-by-step explanation:
-25 = -4p + 19
-25 - 19 = -4p
-39 ÷ -4 = p
9.75 = p
Express as a trinomial (3x+8) (x+10)
Answer:
\(3x^{2} +38x+80\)
Step-by-step explanation:
Hello!
A trinomial is a expression consisting of three different terms
To turn this into a trinomial we multiply everything to each other
3x
3x * x = \(3x^{2}\)
3x * 10 = 30x
8
8 * x = 8x
8 * 10 = 80
Now we put them all together in an equation
\(3x^{2} +30x+8x+80\)
Combine like terms
\(3x^{2} +38x+80\)
The answer is \(3x^{2} +38x+80\)
Hope this helps!
Given the individual rates of workers, to find the combined rate of all the individuals working together you must
the individual rates.
Fill in the blank
To find the combined rate of all the individuals working together, you must add the individual rates.
How to calculate combined rate of individuals working together?When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.
This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.
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Three animals want to cross a lake in a boat. There's an ape that weighs 800 pounds, a bear that weighs 500 pounds, and a lion that weighs 300 pounds. Their boat can only hold 800 pounds. They can't swim across the lake, walk around it, or hang off the edge of the boat. How can they use the boat to get across the lake? Can you tell who is in the boat for each trip? (Hint: the animals make five crossings)
Step-by-step explanation:
bear and lion go first and the lion stay there.
then, the bear cross back, stay and let the ape cross alone.
after that the lion get on the boat and pick up the bear.
Use the following sets to answer the question.
A={1,2,3,4,5}
B={5,6,7,8}
Which answer shows the union of sets A
and B?
{5}
{1,2,3,4,6,7,8,9}
{1,2,3,4,5,6,7,8}
{2,4,8}
The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.
The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.
To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.
Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.
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Consider the unit circle, which is the circle of
radius 1 centered at the origin. Which of the
following properties of the circle are
invariant (that is, does not change) under a
rotation?
Select one or more:
a. The radius of the circle
b. The measure of an angle with vertex
on the center of the circle
c. The area of the circle
d. The circumference of the circle
Answer:
It is between B and C but what I would choose is C.
The radius, area and circumference of the circle is invariant properties of the circle. Option a, c and d to be chosen.
Properties to be determine that would not change after the rotation of circle.
Circle is locus of the point whose distance from the fixed points i.e. center is fixed.
Here, circle has unit radius and center at origin. If the circle is rotated along the point any where in the space the propertied that would be fixed is its radius, area and circumference.
Thus, the radius, area and circumference of the circle is invariant properties of the circle.
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On Sunday, Ben goes to a velodrome to train. He cycles the first lap of the track in 25 seconds Each lap Ben cycles takes him 16 seconds longer than the previous lap.
a) Find the time in seconds, Ben takes to cycle his tenth lap 2.
b) Ben cycles his last lap in 55.4 seconds. Find how many laps he has cycled on Sunday .
c) Find the total time in minutes, cycled by Ben on Sunday.
Answer:
169 seconds
3rd lap
0.923 minutes
Step-by-step explanation:
To solve this question, we would use formula for arithmetic progression in solving it.
S(n) = a + (n - 1)d
If a = 25 s
n = 10
d = 16
S(n) = 25 + (10 - 1)16
S(n) = 25 + 9 * 16
S(n) = 25 + 144
S(n) = 169
It takes him 169 seconds to cycle his tenth lap
b
If S(n) = 55.4, what is n
55.4 = 25 + (n - 1)16
55.4 - 25 = (n - 1)16
30.4 = (n - 1)16
n - 1 = 30.4/16
n - 1 = 1.9
n = 1.9 + 1
n = 2.9 approximately 3
Therefore, he's on his 3rd lap
c
Total time cycled is dependent on the total cycles he made, and going to question 2, we were told he made 55.4 seconds of cycle
55.4/60 = 0.923 minutes
plzzz help A model train is on a track 100 cm from its starting point. Turning a switch displaces the train either forward or backward 25 cm along the track depending on which way the switch is turned. Which equation models the position of the train along the track after you turn the switch? A. |x − 25| = 100 B. |x − 100| = 25 C. |x + 25| = 100 D. |x + 100| = 25
Answer: B. |x-100| = 25
Explanation:
Draw out a number line. Mark 75, 100 and 125 on the number line as points A, B, and C in that order. Don't worry about the spacing.
The value of x represents where the train is. So if we had say x = 85, then it would be at location 85 on the number line. Writing |x-100| is the distance from x to 100. The absolute value ensures the distance is never negative. We want this distance to be 25 because after traveling 25 cm, the switch is turned, and the train goes the other way.
The equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.
What is an equation?One-variable linear equation The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable.
The train's location is indicated by the value of x. Therefore, if x were to equal, let's say, 85, it would be at position 85 on the number line.
The distance between x and 100 is expressed as |x-100|. The distance will never be negative thanks to the absolute value. Because the switch is switched after the train has traveled 25 cm in one direction, we need this distance to be 25 cm.
Therefore, the equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.
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The altitude of an airplane coming in for a landing is represented by the equation shown below, where y represents the altitude of an airplane and x represent the number of minutes the plane has been descending: y = -12x + 360 Part A. Create a table for the values when = 0, 5, 8, 10, 30. include worked out equation used to identify the values within the table Part B. identify the altitude after 5 minutes and after 30 minutes
Part A:
Here is the table for the values of y when x = 0, 5, 8, 10, and 30:
x y = -12x + 360
0 360
5 240
8 192
10 180
30 -360
Part B:
After 5 minutes, the altitude of the plane = 240 feet
After 30 minutes, the altitude of the plane = -360 feet.
How to make the tableTo find the value of y for each x, we substitute x into the equation y = -12x + 360:
For x = 0, y = -12(0) + 360 = 360
For x = 5, y = -12(5) + 360 = 240
For x = 8, y = -12(8) + 360 = 192
For x = 10, y = -12(10) + 360 = 180
For x = 30, y = -12(30) + 360 = -360
Part B:
After 5 minutes, the altitude of the plane can be found by substituting x = 5 into the equation
y = -12x + 360
y = -12(5) + 360 = 240 feet
After 30 minutes, the altitude of the plane can be found by substituting x = 30 into the equation
y = -12x + 360
y = -12(30) + 360 = -360 feet.
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A cookie factory makes 5 types of cookies. Each day,
the factory makes 610,298 of each type of cookie.
How many cookies does the factory make each day?
Plz help
Answer:
3,051,490 cookies/day
Step-by-step explanation:
Do 610,298 x 5
Answer:3,051,490
Step-by-step explanation:
They make 610,298 of each type of cookie. There are 5 different cookies. So there are 5 groups of 610,298. 610,298×5=3,051,490.
I hope I helped, have an awesome day!! :3
Find the perimeter of this shape
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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I am 6 foot and 4 inches what is my height in metres?12 inches=to 1 foot and 1 foot=to 30 cm
Answer:
1.9 m
Step-by-step explanation:
1 ft = 30 cm (approximately)
12 in. = 1 ft
100 cm = 1 m
Find the height in ft:
4 in. / 12 in/ft = 1/3 ft
6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft
Convert ft to cm:
6 1/3 ft × 30 cm/ft = 190 cm
Convert cm to m:
190 cm × 1 m / 100 cm = 1.9 m
We wish to see if the dial indicating the oven temperature for a certain model of oven is properly calibrated. Four ovens of this model are selected at random. The dial on each is set to 300 °F, and, after one hour, the actual temperature of each is measured. The temperatures measured are 305 °F, 310 °F, 300 °F, and 305 °F. Assuming that the actual temperatures for this model when the dial is set for 300° are Normally distributed with mean μ, we test whether the dial is properly calibrated at 5% of significance level.
Actual Temp: 305, 310, 300, 305
Required:
a. Based on the data, calculate the sample standard deviation and standard error of X bar (round them into two decimal places) Standard Deviation: Standard Error:
b. What is a 95% confidence interval for μ? (upper and lower bound)
c. Provide your test statistic and P-value
d. State your conclusion clearly (statistical conclusion and its interpretation).
e. Even if 5% of significance level looks like default of test, we can use different significance levels as well. If we change the significance level into 10% (= 0.1), how does it affect your conclusion?
Answer:
a. Standard deviation: 4.082
Standard error: 2.041
b. The 95% confidence interval for the actual temperature is (298.5, 311.5).
Upper bound: 311.5
Lower bound: 298.5
c. Test statistic t=2.45
P-value = 0.092
d. There is no enough evidence to claim that the dial of the oven is not properly calibrated. The actual temperature does not significantly differ from 300 °F.
e. If we use a significance level of 10% (a less rigorous test, in which the null hypothesis is rejected with with less requirements), the conclusion changes and now there is enough evidence to claim that the dial is not properly calibrated.
This happens because now the P-value (0.092) is smaller than the significance level (0.10), given statististical evidence for the claim.
Step-by-step explanation:
The mean and standard deviation of the sample are:
\(M=\dfrac{1}{4}\sum_{i=1}^{4}(305+310+300+305)\\\\\\ M=\dfrac{1220}{4}=305\)
\(s=\sqrt{\dfrac{1}{(n-1)}\sum_{i=1}^{4}(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{3}\cdot [(305-(305))^2+(310-(305))^2+(300-(305))^2+(305-(305))^2]}\\\\\\ s=\sqrt{\dfrac{1}{3}\cdot [(0)+(25)+(25)+(0)]}\\\\\\ s=\sqrt{\dfrac{50}{3}}=\sqrt{16.667}\\\\\\s=4.082\)
We have to calculate a 95% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=305.
The sample size is N=4.
When σ is not known, s divided by the square root of N is used as an estimate of σM (standard error):
\(s_M=\dfrac{s}{\sqrt{N}}=\dfrac{4.082}{\sqrt{4}}=\dfrac{4.082}{2}=2.041\)
The degrees of freedom for this sample size are:
\(df=n-1=4-1=3\)
The t-value for a 95% confidence interval and 3 degrees of freedom is t=3.18.
The margin of error (MOE) can be calculated as:
\(MOE=t\cdot s_M=3.18 \cdot 2.041=6.5\)
Then, the lower and upper bounds of the confidence interval are:
\(LL=M-t \cdot s_M = 305-6.5=298.5\\\\UL=M+t \cdot s_M = 305+6.5=311.5\)
The 95% confidence interval for the actual temperature is (298.5, 311.5).
This is a hypothesis test for the population mean.
The claim is that the actual temperature of the oven when the dial is at 300 °F does not significantly differ from 300 °F.
Then, the null and alternative hypothesis are:
\(H_0: \mu=300\\\\H_a:\mu\neq 300\)
The significance level is 0.05.
The sample has a size n=4.
The sample mean is M=305.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=4.028.
The estimated standard error of the mean is computed using the formula:
\(s_M=\dfrac{s}{\sqrt{n}}=\dfrac{4.082}{\sqrt{4}}=2.041\)
Then, we can calculate the t-statistic as:
\(t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{305-300}{2.041}=\dfrac{5}{2.041}=2.45\)
The degrees of freedom for this sample size are:
\(df=n-1=4-1=3\)
This test is a two-tailed test, with 3 degrees of freedom and t=2.45, so the P-value for this test is calculated as (using a t-table):
\(\text{P-value}=2\cdot P(t>2.45)=0.092\)
As the P-value (0.092) is bigger than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the actual temperature of the oven when the dial is at 300 °F does not significantly differ from 300 °F.
If the significance level is 10%, the P-value (0.092) is smaller than the significance level (0.1) and the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the actual temperature of the oven when the dial is at 300 °C does not significantly differ from 300 °C.
ax=by=c
solve for y?
A $40 autographed and framed poster of the Spice Girls goes up in price to $50. What is the percent of increase in the price?
Answer: it went up 25%
Step-by-step explanation: if it would have went up 50%, that would be $20, meaning it would be $60. It is 25% and it is half of 50% and half of $20 is $10 equaling $50
A $40 autographed and framed poster of the Spice Girls goes up in price to $50. What is the percent of increase in the price?
=
25% increase
Please help I don’t understand this and it’s due today in a bit
The product of a number and 7, increased
by three.
Answer:
7x+3
Step-by-step explanation:
Hi there!
Let "a number" equal x.
The product is the answer to a multiplication problem. If we're talking about the product of a number and 7, we're talking about multiplying them:
7x
Now, increasing by 3 just means we need to add 3:
7x+3
I hope this helps!
[(b-3)/(b^2+2b)]+[b/(4b+8)] simplify
The simplified expression of [(b - 3)/(b² + 2b)] + [b/(4b + 8)] is (b² - 12 + 4b)/[(4b)(b + 2)]
How to simplify the expression?From the question, we have the following parameters that can be used in our computation:
[(b-3)/(b^2+2b)]+[b/(4b+8)]
Rewrite the exponents
[(b - 3)/(b² + 2b)] + [b/(4b + 8)]
So, we have
(b - 3)/(b² + 2b) + b/(4b + 8)
Factor out b and 4
(b - 3)/b(b + 2) + b/4(b + 2)
Factor out 1/(b + 2)
1/(b + 2) * ((b - 3)/b + b/4)
So, we have
1/(b + 2) * (4(b - 3) + b²)/(4b)
This gives
1/(b + 2) * (4b - 12 + b²)/(4b)
Rewrite as
1/(b + 2) * (b² - 12 + 4b)/(4b)
Lastly, we have
(b² - 12 + 4b)/[(4b)(b + 2)]
Hence, the solution is (b² - 12 + 4b)/[(4b)(b + 2)]
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Marcella solved three different questions on a math quiz. One of the answers is incorrect.
Determine which solution is incorrect and explain your reasoning.
Answer:
Question 1 is Wrong because she didn't follow the BODMAS RULE
B-BRACKETS
O-OF
D-DIVIDE
M-MULTIPLY
A-ADD
S-SUBTRACT
THE ANSWER IS
-18
The solution which is incorrect on the given math quiz that Marcella solved is question 1.
Given that:
Marcella solved three questions on a math quiz.
It is required to find the solution which is incorrect among these.
The questions are based on the operations of the integers.
For question 1,
-11 + (-7) = -11 - 7
= -(11 + 7)
= -18
So, the solution that Marcella wrote as -4 is incorrect.
For question 2:
29 + (-18) = 29 - 18
= 11
This solution is correct.
For question 3,
-16 + 35 = 35 - 16
= 19
This solution is also correct.
Hence, the incorrect solution is that of question 1.
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Please help me! Im really confused!
Answer:
4) 8:1
Step-by-step explanation:
well on the first perfect point there are 8 cups of raspberry juice and 1 cup of lemon-lime soda and it is comparing them in that order so since 1 is the unit it would be 8:1
Answer:
c is correct answer is yes then please
What is the unit rate $1.79 for 15 oz rounded to nearest tenth
Answer:
$0.119... per oz, or 0.1
Step-by-step explanation:
$.179 ÷ 15 = 0.119...
Now round to the nearest tenth, and you get 0.1.
2. Tyler is driving to visit his grandmother. It takes him 5 hours to travel 260 miles. How fast
was Tyler driving?
Answer:
52mph
Step-by-step explanation:
260/5
Which set of statements is correct? All images resulting from a dilation are congruent If a gure is shrunk, the scale factor must be less than 0. If a gure is enlarged, the scale factor must be between 0 and 1 ta haure remains the same, the scale factoris 1 All images resulting from a dilation are not congruent, If a gure is shrunk, the scale factor must be less than 1. If a beure is shrunk, the scale factor must be between 0 and 1 If a figure is enlarged, the scale factor must be greater than 1
Which set of statements is correct?
All images resulting from a dilation are congruent -------> false
If a gure is shrunk, the scale factor must be less than 0. ------> false
If a gure is enlarged, the scale factor must be between 0 and 1 ------> false
ta haure remains the same, the scale factoris 1 ------> correct
All images resulting from a dilation are not congruent, -------> correct
If a gure is shrunk, the scale factor must be less than 1. ------> false
If a beure is shrunk, the scale factor must be between 0 and 1 ------> correct
If a figure is enlarged, the scale factor must be greater than 1 -----> correct
a theater can hold 120 giants or 144 elves, if 90 giants are already in the theater how much elves can be admitted?
Answer:
36 more elves
Step-by-step explanation:
90 giants takes up 90/120 = 0.75 of the whole theater, leaving 0.25 empty for the elves.
0.25 * 144 = 36
36 more elves can fit.
Answer:
36 elves
Step-by-step explanation:
Hope this helps
Write an equation of a line with the given slope and y-intercept.
m= -1/4, b= 5/4
Answer:
y=-1/4x+5/4
Step-by-step explanation:
M is equal to the X in the middle of the equation. B is equal to the Y Intercept. Hope this helps! If you're still having trouble understanding this, I would look up "Slope Intercept Equations" on (Y o u t u b e) and watch a video about it.
Y=2x+2 graph the equation using the slope and y-intercept
Answer:
See graph attached
Step-by-step explanation:
Our life is simple because the equation \(y=2x+2\) is already put in slope-intercept form.
This form is called slope-intercept because it states exactly what it's called: The number multiplied by \(x\) (the constant of proportionality, in this case, 2) is the slope - and the y-intercept is what is being added to the equation (in this case, also 2, since there is a +2 at the end.)
With this info, we can start graphing.
We know that the y-intercept is 2, meaning one point will be (0,2).
We also know that the slope is 2, meaning every time x increases by 1, y will increase by 2. So the next point is (1, 4), the next is (2, 6), and so on.
Hope this helped!
The graph of the function y = 2x + 2 is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 2x + 2
The above function is a linear function that has been transformed as follows
Slope = 2y-intercept = 2Next, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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