Answer: 73
Step-by-step explanation:
Angle B is 180-107=73
Angle 1 is equivalent to B and it is 73
Answer:
C. ∠1 = 73°
Step-by-step explanation:
Angles on a straight line add up to 180°
Therefore:
⇒ ∠1 + 107° = 180°
Subtract 107° from both sides:
⇒ ∠1 + 107° - 107° = 180° - 107°
⇒ ∠1 = 73°
There are 5 white pencils and 6 red pencils in a box. One pencil is selected at random and not replaced. Another pencil is randomly selected from the remaining pencils. Determine whether this event is independent or dependent. Explain your answer.
A. Independent; the first pencil does not affect the sample space for the second one.
B. Independent; there are fewer pencils to choose from the second time.
C. Dependent; the first pencil does not affect the sample space for the second one.
D. Dependent; there are fewer pencils to choose from the second time.
Answer:
D
Step-by-step explanation:
You have 5 + 6 pencils, which is 11 pencilsThe probability you will get white is 5/11Prob you get red is 6/11If you pick up a pencil and do not replace it, you now only have 10 pencils leftThe prob you get a red or a white is dependent on what you picked up firstplease help me with the question
Answer: A
Step-by-step explanation:
The answer to this system of equations is (0,4)
The histograms below show the ages of dogs at four different shelters. For which set of data is the mean most likely greater than the median?
A bar graph has age on the x-axis and number of dogs on the y-axis. There is 1 dog that is 0 to 1 year of age; 4 dogs that are 2 to 3; 2 dogs that are 4 to 5; 0 dogs that are 6 to 7; 1 dog that is 8 to 9.
A bar graph has age on the x-axis and number of dogs on the y-axis. There are 0 dogs that are 0 to 1 year of age; 3 dogs that are 2 to 3; 4 dogs that are 4 to 5; 3 dogs that are 6 to 7; 0 dogs that are 8 to 9.
A bar graph has age on the x-axis and number of dogs on the y-axis. A bar graph has age on the x-axis and number of dogs on the y-axis. There are 0 dogs that are 0 to 1 year of age; 1 dog that is 2 to 3; 2 dogs that are 4 to 5; 4 dogs that are 6 to 7; 1 dog that is 8 to 9.
A bar graph has age on the x-axis and number of dogs on the y-axis. There are 2 dogs that are 0 to 1 year of age; 1 dog that is 2 to 3; 2 dogs that are 4 to 5; 1 dog that is 6 to 7; 2 dogs that are 8 to 9.
The set of data for which the mean is most likely greater than the median is the data given by first histogram.
How to identify skewed graph?A skewed distribution is a distribution having bias on one of the two sides (either left or right).
It is like leaning mountain on one side (left or right).
A left skewed graph have elongated tail on the left side of the main mountain like figure. The mountain like figure is after that elongated tail. It is also called negatively skewed graph.
This graph usually has mean < median < mode
A right skewed graph has elongated tail on the right side of the main mountain like figure. The mountain like figure is before that elongated tail. It is also called positively skewed graph. This graph usually has:
Mode < median < mean.
For this case, we can try to find the histogram which is right skewed because for right skewed graphs, the mean of the data is greater than the median.
For being right skewed, the histogram needs to be elongated on the right. The elongation on right means the perpendicular axis of the graph (the frequency) has lower and lower values in the right end of the graph.
So, the histogram, which has all values having approx lower frequencies on the right side than any other part of the histogram, has got its mean > median.
We're given these histograms:
Histogram 1:Age Frequency
0 - 1 years 1
2 - 3 years 4
4 - 5 years 2
6 - 7 years 0
8 - 9 years 1
Histogram 2:Age Frequency
0 - 1 years 0
2 - 3 years 3
4 - 5 years 4
6 - 7 years 3
8 - 9 years 0
Histogram 3:Age Frequency
0 - 1 years 0
2 - 3 years 1
4 - 5 years 2
6 - 7 years 4
8 - 9 years 1
Histogram 4:Age Frequency
0 - 1 years 2
2 - 3 years 1
4 - 5 years 4
6 - 7 years 1
8 - 9 years 2
The second and fourth histograms are symmetric, because of symmetric values on its either side of the mid value for 4-5 years old dogs' frequencies. Thus, they're not skewed.
The third histogram is negatively skewed because of high values on right side (the last values in the table belongs to bigger ages, and on the axis for age of dogs, by sign convention, the bigger ages will be on right to the smaller age values) than the smaller values, and smaller values are forming tail on left side. Thus, its negatively skewed distribution.
The first histogram has positively skewed distribution, since at the end, it has very small values and there is mountain like structure on the left side.
Thus, for this histogram, the median < mean is most likely to be happening. (we still use the word 'likely' since the data is not large enough to apply these approximations of mean and median and mode, as it works better for large data sets).
Thus, the set of data for which the mean is most likely greater than the median is the data given by first histogram.
The graph of the first histogram is attached below.
Learn more about skewed distribution here:
https://brainly.com/question/13111221
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Answer:
A. The first graph
Step-by-step explanation:
Got it right on an edge test
Have a nice day :)
Gabrielle's age is three times Mikhail's age. The sum of their ages is 20. What is Mikhail's age?
Answer:
Mikhail is 5 years old
Step-by-step explanation:
Represent each member with a variable.
X= Gabrille
Y=Mikhail
X+Y=20 (sum of their ages is 20)
X=3y (Gabrille is 3 times Mikhails age)
Substitute 3Y into the first equation (simultaneous equation)
. 3y+y=20
. 4y=20 (divide both sides by 4)
y=5
To check your answer.
X+5=20
X=20-5
X=15
15 is 5 times 3.
I’m sooo confused please help me
18π
Step-by-step explanation:
so first you need to find the area of both semi- circles. To do this you will use the formula 1/2πr^2 since it is half the area of a circle.
So for the smaller semi circle you do 1/2×π×8^2 to get 32πcm^2.
Now for the large semicircle you do 1/2×π×10^2 to get 50πcm^3.
Now you take 50π from 32π to get just the area of the shaded region.
This is 18π or 56.55cm^2
What past paper is this, can you please put a link to the question paper that this question came from :
danil, gabriel and hadley share some money in the ratios 3:5:9 the difference between the amount of money that gabriel receives and the amount of money that hadley receives is 196 euros. work out the amount of money that danil receives
Using proportions, considering the ratios, it is found that Danil receives 65.33 euros.
What is a proportion?A proportion is a fraction of a total amount.
Danil, gabriel and hadley share some money in the ratios 3:5:9. Hence, the fraction of the total amount that Danil and Hadley receive are given by:
[tex]D = \frac{3}{17}n[/tex]
[tex]H = \frac{9}{17}n[/tex]
The amount of money that hadley receives is 196 euros, hence the total amount is found as follows.
[tex]196 = \frac{9}{17}n[/tex]
[tex]n = \frac{196 \times 17}{9}[/tex]
n = 370.22.
Hence, the amount received by Danil is given by:
[tex]D = \frac{3}{17}n = \frac{3}{17} \times 370.22 = 65.33[/tex]
More can be learned about proportions at https://brainly.com/question/24372153
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Determine if 51 is rational or irrational and give a reason for your answer
Answer:
irrational because the square root of 51 is irrational.
what percent of the data is to the right of the mean in a normal curve?
Answer:
E. not enough info given
Step-by-step explanation:
If you were talking about the median, it is 50%
Find the volume of the spear. Give your answer to the nearest cubic unit. 5mm
Answer:
We know,
[tex]\:\sf{Volume\:of\:sphere\:=\:\frac{4}{3}πr³}[/tex]
Here,
Given :-[tex]\:\mathsf{radius\:=\:5mm}[/tex]
Solution :-Now,
Volume of sphere = [tex]\:\mathsf{\frac{4}{3}\:πr³}[/tex]
=> [tex]\:\mathsf{\frac{4}{3}\:×\frac{22}{7}\:×(5)³}[/tex]
We got,
Volume of sphere = 523.809Therefore you can say that option B. 524 mm³ is the correct answer for this question.
Hope this helps!
Answer:
b. 524 mm³Step-by-step explanation:
Volume of the sphere
V = 4/3πr³Here, the radius (r) is 5 mm.
Solving
V = 4/3 x 3.14 x 5³V = 4/3 x 3.14 x 125V = 4/3 x 392.5V = 524 mm³Calculate the circumference and area of this circle
Answer:
Circumference = 10[tex]\pi[/tex] or 31.4
Area = 25[tex]\pi[/tex] or 78.5
Step-by-step explanation:
Circumference formula is [tex]2\pi r[/tex]
Plug in the radius of 5 for the equation:
[tex]2\pi 5[/tex] or [tex]10\pi[/tex]
Area formula is [tex]\pi r^{2}[/tex]
Plug in the radius of 5 for the equation:
[tex]\pi 5^{2}[/tex] or [tex]25\pi[/tex]
5. John and Alice are going to visit their friends in Chicago. They need to exchange their
Canadian money (CAD) to American money (USD). Alice goes to the bank and asks for $300
USD. They charge her $400 CAD. John goes to the bank on the same day and asks for $175
USD. Assuming that he gets the same exchange rate, how much do they charge him in
Canadian dollars?
Answer:
$233.33
Step-by-step explanation:
I will use the is/of method
[tex]\frac{300}{400}[/tex]=[tex]\frac{175}{?}[/tex]
175*400=70,000
70,000/300=233.33
Can someone please give me the (Answers) to this? ... please ...
I need help….
_____________________________________
AnswerS :
1. Tan Z = p / b = 21/28
2. Cos C = b / h = 16 / 34 = 8/17
3. Sin C = p/ h = 28/35
4. Tan X = p / b = 32/24 = 16 / 12
5. cos A = b / h = 30/34 = 15 / 17
6. Sin A = p / h = 32/40 = 16/20
7. sin Z = p / h = 24 / 40 = 12 / 20
8. sin C = p / h = 14 / 50 = 7 / 25
RemembeR :
Sin θ = Perpendicular / HeightCos θ = Base / Height Tan θ = Perpendicular / Base- HappY LearninG (≧▽≦)
__________________________________
SOHCAHTOA is an acronym for the formula
Sin= Opposite/hypothenuse
cos= adjusent/ hypothenuse
tan=opposite/adjusent
After u found the ratio u use inverse- put it in ur calculator then u get the answer
i answered one question- so u see how to solve
simplify square root of m over square root of 9n^3
Answer:
⁴root(9m²n/3n)
Step-by-step explanation:
just simplify the like terms
Manuel is packing smaller boxes inside a large box. The
smaller boxes are cube-shaped and measure 6 inches
along each edge. The large box is cube-shaped and
measures 24 inches along each edge. How many
smaller boxes can Manuel fit in the large box?
The number of the smaller cube-shaped boxes that Manuel can fit into the large cube-shaped box is: 64.
What is the Volume of a Cube?Volume of a cube = a³, where a is the edge length of the cube.
Volume of the smaller cube-shaped boxes = a³ = 6³ = 216 in.³
Volume of the larger cube-shaped box = a³ = 24³ = 13,824 in.³
Number of the smaller boxes that will fit into the large box = 13,824/216 = 64 smaller cube-shaped boxes.
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Please help me with this math problem!! :) Will give brainliest!!
Answer:
Your answer is x=-13/3
Step-by-step explanation:
RS and QT are equal knowing this your equation would be x=4x+13. you get -3x=13 when 4x get cancelled out, divide both side by 3 and you get -13/3
Probability can be expressed as either a decimal, a percentage or a fraction. But no
matter what form it takes, it means the same thing, 1/10, 0.1 and 10% are all different ways
of expressing the same probability.
An easy way to convert a percentage to a fraction is to put the number of the percentage
over 100 and then simplify, for example, 75% is the same as 75/100, or 3/4 The first two
places after a decimal point are the same as a percentage: 0.15 is equal to 15%, and 0.3 is
equal to 30%
Al
E
SI
Which probability is equal to 25%?
A
5/100
B
1/4
С
25/1
D
4/5
Answer:
B. 1/4
Step-by-step explanation:
The easiest way to find the answer here is to (if you have one) use a calculator to divide each fraction.
When divided 1/4, you get .25, and as the explanation says, "The first two places after a decimal point are the same as a percentage: 0.15 is equal to 15%, and 0.3 is equal to 30%."
So, moving the decimal to the right two times will give you your probability of 25%.
Hope this helps :)
Find x, y, and z. Please Show work how you did!
Answer:
y=36,x=108,z=30
Step-by-step explanation:
1)180°=72°+(3y)°
=>(3y)°=180°-72°
=>(3y)°=108°
=>3y=108
=>y=36
2)(x)°=(3y)°=>x=108
3)(3z+18)°=108°=>3z+18=108=>3z=90=>z=30
Answer:
x = 108
y = 36
z = 30
Step-by-step explanation:
(x)° + 72° = 180° (interior angles on the same side of transversal)
-> (x)° = 180 - 72°
-> (x)° = 108°
-> x = 108
(3y)° = (x)° (corresponding angles)
-> 3y = x
-> 3y = 108
-> y = 108/3
-> y = 36
(3z + 18)° = (x)° (corresponding angles)
-> 3z + 18 = x
-> 3z + 18 = 108 - 18
-> 3z = 108 - 18
-> 3z = 90
-> z = 90/3
-> z = 30
What is the image point of (0, 9) after a translation left 1 unit and down 2 units?
Answer:
(- 1, 7 )
Step-by-step explanation:
a translation left of 1 unit means to subtract 1 from the x- coordinate.
a translation down of 2 units means to subtract 2 from the y- coordinate.
(0, 9 ) → (0 - 1, 9 - 2 ) → (- 1, 7 )
What is the area of this figure?
Answer:
58.5
Step-by-step explanation:
solve using the square root method
Answer:
x = 5
Step-by-step explanation:
5(x-3)^2 - 20 = 0 we can find the value of x by sorting out the number one by one and leaving x alone on one side:
5(x-3)^2 = 20 (transfering 20 to the right side of the equation)(x-3)^2 = 20/5 and that is equal to 4, now find the root for both sides x-3 = 2 add 3 to both sidesx = 5
Martha wants to rent a car for a week and to pay no more than $200. How far can she drive if the can
rental costs $120 a week plus $.25 a mile?
Answer:
martha can go 300 miles with her 130 dollars
Step-by-step explanation:
300 miles $130 brain liest me please need id
On a number line, show all values of x for which |x|>3
Please say what i need to use like rays or whatever too
Answer: 3<x
Step-by-step explanation: anything under 3, use a ray (infinite) pointing to the left with a open circle
The figure below represents a parallelogram ABCD with AB//CD and AC//BD A 35° B Z 9 ~ W 45° p 1' S 75° 25° C D Find the size of each of the lettered angles. X J
Answer:
Step-by-step explanation:
Two frisbees (circular flying discs: small and large) are used for two games. In game 1, the large disc is used and has a diameter of 27.3 cm. In game 2, the small disc is used and has a diameter of 22.5. The circumference of the flying disc for the first game is how many centimeters greater than the circumference of the flying disc used for the second game, to the nearest centimeter? Use 3.14 for \piπ.
Answer:
15 cm (to the nearest cm)
Step-by-step explanation:
Circumference of a circle = πd (where d is the diameter)
Large disc
diameter (d) = 27.3 cmπ = 3.14⇒ circumference = 3.14 × 27.3 = 85.722 cm
Small disc
diameter (d) = 22.5 cmπ = 3.14⇒ circumference = 3.14 × 22.5 = 70.65 cm
Difference between circumferences
= circumference of large disc - circumference of small disc
= 85.722 - 70.65
= 15.072
= 15 cm (to the nearest centimeter)
If f(y-5)=3y²-4y-10, find f(2)
Answer:
29
Step-by-step explanation:
What we do here is that we plug in 2 here like a puzzle.
f(2-5) = f(-3)
So, when we plug in 2 to the function, we get a f(-3)
Nowe take f(-3)
= 3(-3)²-4(-3)-10
= 3(9)+12-10
= 27+12-10
= 29
5. Find m< BOC
please help
Answer: 110 degrees
Step-by-step explanation:
Find the surface area of the pyramid shown to the nearest whole number. 5ft 5ft 6ft - Not drawn to scale
Answer:
85 ft^2
Step-by-step explanation:
Base = 5 x 5 = 25 ft^2
FOUR triangles 4 * 1/2 * b * h = 4 * 1/2 * 5 * 6 = 60 ft^2
added together = 85 ft^2
How can you write
10/3
as a division
expression and as a mixed number?
Answer:
Division: 10 ÷ 3
Mixed Number 3 and 1/3
Answer:
10/3 in a mixed fraction is 3 1/3.
Let us convert the improper fraction to a mixed number.
Step-by-step explanation:
Converting an improper fraction to a mixed number involves dividing the numerator by the denominator.
And we keep the quotient part as separate
The quotient of 10 divided by 3 is 3
While the remainder of 10 divided by 3 is 1
The mixed number is written as Quotient (Remainder/Divisor), i.e., 3 1/3
Thus, 10/3 in a mixed fraction is 3 1/3.
The scores on a standardized exam are normally distributed with a mean of 400 and a standard deviation of 50.
Approximately 40% of the scores are greater than which score?
370
387
413
430
Using the normal distribution, it is found that approximately 40% of the scores are greater than 413.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, we have that the mean and the standard deviation of the scores are given by:
[tex]\mu = 400, \sigma = 50[/tex]
Approximately 40% of the scores are greater than the 60th percentile, which is X when Z = 0.253.
Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.253 = \frac{X - 400}{50}[/tex]
X - 400 = 50(0.253)
X = 412.65.
Rounding up, approximately 40% of the scores are greater than 413.
More can be learned about the normal distribution at https://brainly.com/question/24663213
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Answer:
413
Step-by-step explanation:
I took the test k12
composite figure pls help
Answer:
Step-by-step explanation:
divide the figure into 2 rectangle the one on top and bottom. Th one on top's dimensions would be length = 9 width = 3.
the bottom rectangles dimensions would be length = 5 (because 9-4) and width would be 3 (because 6-3)
so top rectangle : 9*3 = 27
bottom rectangle: 5*3 = 15
27+15 = 42
Answer:
[tex]A_{total} = 42\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the left rectangle
[tex]A = l * w[/tex]
[tex]A = 6\ cm * (9\ cm - 4\ cm)[/tex]
[tex]A = 6\ cm * 5\ cm[/tex]
[tex]A = 30\ cm^2[/tex]
Step 2: Determine the area of the right rectangle
[tex]A = l * w[/tex]
[tex]A = 4\ cm * 3\ cm[/tex]
[tex]A = 12\ cm^2[/tex]
Step 3: Determine the total area
[tex]A_{total} = 30\ cm^2 + 12\ cm^2[/tex]
[tex]A_{total} = 42\ cm^2[/tex]
Answer: [tex]A_{total} = 42\ cm^2[/tex]