Answer:
a) The five ordered pairs are:-
(1,60) , (2,120) , (3,180) , (4,240) , (5,300)
b)When You divide the y value by x value for each ordered pair u find the slope.
c)The graph shows a proportional relationship.Because as x-value increases so does y-value.
d)Y=mx+b--> Y=60x (No y-intercept because it starts from 0)
e)If a person hiked for 9 hours then the distance would be 540. Because If u plug in the number of hours in the x value of the equatione then u will get 540. Here's the work:-
Y=60(9)
Y=540
Step-by-step explanation:
Hope it helps u. And if u get it right pls give me brainliest.
A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting or . (b) Compute the probability of randomly selecting or or . (c) Compute the probability of randomly selecting or .
Answer: See answer in the attached file
Step-by-step explanation:
Amber says that the data set is left-skewed because the box is farther to the left on the number line. (A) Is Amber correct? (B) Explain your reasoning.
Plz help asap!!!!!!!!!!!!!
Answer:
6.64 ft²
Step-by-step explanation:
Given the above triangle with 2 sides of lengths 3.2 ft and 4.7 ft respectively, and angle 62° in between, the following formula can be used to calculate the area: ½*a*b*sin(θ).
Thus, a and b are the 2 given sides and θ is the included angle in between both sides.
Therefore,
Area = ½*3.2*4.7*sin(62)
Area = ½*15.04*0.88295
Area = ½*13.279568
Area = 6.639784
Area = 6.64 ft² (to the nearest hundredth)
A heptagon can be divided into how many triangles by drawing all the diagonals from one vertex
Answer:
5 triangles from the vertex
Answer:
5 triangles from the vertex
Step-by-step explanation:
Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 salaries, do we know anything about the variation of salaries of TV personalities in general?
42 40 39 31 22 18 15 12 11.7 10.5
____________________________________________________________________________
The Range of the sample data is $[ ] million. (Type an integer or a decimal)
The variance of the sample data is [ ]. (Round to three decimal places as needed.)
The standard deviation of the sample data is $[ ] million. (Round to three decimal places as needed)
Is the the standard deviation of the sample a good estimate of the variation of the salaries of the TV personalities in general ?
A. yes, because the standard deviation is an unbiased estimator
B. no, because the sample is not representative of the whole population.
C. no, because there is an outlier in the sample data.
D. yes, because the sample is random.
Answer:
If you do not need that actual numbers, the answer is B.
Step-by-step explanation:
In order to find a fully comprehensive study, you would need many more people than just 10, not to mention these are the top 10 people in the world.
(Brainliest would be much appreciated!)
the solution of the equation 0=4+4(m+1) is
Answer:
[tex]\boxed{m = -2}[/tex]
Step-by-step explanation:
[tex]0 = 4+4(m+1)[/tex]
Resolving Parenthesis
[tex]0 = 4+4m + 4[/tex]
[tex]0 = 4m+8[/tex]
Subtracting 8 to both sides
[tex]-8 = 4m[/tex]
[tex]4m = -8[/tex]
Dividing both sides by 4
m = -8/4
m = -2
Step-by-step explanation:
4+4m+4= 0
4m+8=0
4m=-8
m= -8/4=-2
Which expression is equivalent to ? (2^1/2 times 2^3/4)^2
Answer: B or square root 2^5
Step-by-step explanation: I checked on my calculator
Select the correct answer from each drop down menu.
The slope of diagonal OA is
A) 4/3
B) 3/4
C) 1
,and it’s equation is
A) 4x-y=0
B) x-3y=0
C) 4x-3y=0
Answer:
(A) [tex]\text{The slope of OA is }\dfrac{4}{3}[/tex]
(C) It’s equation is 4x-3y=0.
Step-by-step explanation:
Point O is at (0,0)
Point A is at (3,4)
[tex]\text{Slope of OA}=\dfrac{4-0}{3-0} \\m=\dfrac{4}{3}[/tex]
The equation of a straight line is in the form: y=mx+b
The y-intercept of the line OA=0
Therefore, we have:
[tex]y=\dfrac{4}{3}x+0\\3y=4x+0\\$Subtract 3y from both sides$\\4x-3y=0[/tex]
The equation of the line is: 4x-3y=0
What is the equation of the circle show in the image?
The sum of a number and 9 is subtracted from 60. The result is 10. Find the number.
Answer:
Number : 41
Step-by-step explanation:
Say that this number is x. The sum of this number ( x ) and 9 subtracted from 60 will be 10. Therefore we can create the following equation to solve for x,
60 - (x + 9) = 10,
60 - x - 9 = 10,
51 - x = 10,
- x = 10 - 51 = - 41,
x = 41
This number will be 41
The surface area of a given cone is 1,885.7143 square inches. What is the slang height?
This question is not complete. This is because it lacks the appropriate diagram containing necessary information to solve this question.
Please find attached the appropriate diagram to solve for this question
Complete Question :
The surface area of a given cone is 1,885.7143 square inches. What is the slant height?
Answer:
25 inches
Step-by-step explanation:
In the diagram, we are given the following information
Height of the cone = 20 inches
Radius of the cone = 15 inches.
The formula for the slant height of a cone represented by l =
l² = r² + h²
l = √(r² + h²)
l = √(15² + 20²)
l = √(225 + 400)
l = √625
l = 25 inches
Therefore, the slant height of this cone = 25 inches
Find two numbers with difference 62 and whose product is a minimum.
Answer:
31 and -31
Step-by-step explanation:
The two numbers with a difference of 62 and whose product is a minimum are; 31 and -31
Let the two numbers be x and y.We are told that their difference is 62.
Thus; x - y = 62 ---(1)
We want their products to be minimum. Thus;f(x,y) = xy
From eq, making y the subject gives us;
y = x - 62
Thus;
f(x) = x(x - 62)
f(x) = x² - 62x
For the product to be minimum, let us find the derivative of f(x) and equate to zero. Thus;f'(x) = 2x - 62
At f'(x) = 0
2x - 62 = 0
2x = 62
x = 62/2
x = 31
Thus;
y = 31 - 62
y = -31
Read more at; https://brainly.com/question/9473957
what equals 1+1= Why can't I see any answers help i logged off etc is it just me?
Answer:
1 + 1 = 2
Step-by-step explanation:
^
Answer:
no , it's happening to everyone , even I can't see it .
Given the radius of a circle is 7 cm, what is the circumference?
Answer:
14π or 43.96
Step-by-step explanation:
C = 2πr and we know that r = 7 so C = 14π or 43.96.
The function y=−16x2+v0x models the height of a football in feet x seconds after a player kicks it. In the equation of the function, v0 is the ball's initial velocity in feet per second. The ball hits the ground 2 seconds after the player kicks it.
What is the value of v0?
Answer:
[tex]\large \boxed{\sf \ \ v_0=32 \ \ }[/tex]
Step-by-step explanation:
Hello,
The equation is
[tex]y=f(x)=-16x^2+v_0 \cdot x[/tex]
The ball hits the ground 2 seconds after the player kicks it, it means that f(2)=0.
We need to find [tex]v_0[/tex] such that f(2)=0.
[tex]f(2)=-16\cdot 2^2+v_0 \cdot 2=-64+2v_0=0\\\\\text{*** add 64 to both sides ***}\\\\2v_0=64\\\\\text{*** divide by 2 both sides ***} \\\\v_0=\dfrac{64}{2}=32[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
v0 = 32 ft/s
Step-by-step explanation:
Help, Please. File attached this time. Sorry
Answer:
27 degrees
Step-by-step explanation:
Because there is a straight line, all of the angles shown add up to 180, so if you add up all the given angles and subtract it from 180, you will get your answer.
39+86+28=153
180-153=27
Hope this helps. If you have any follow-up questions, feel free to ask.
Have a great day! :)
I need help for this problem!
Answer:
[tex] a = 2.7 [/tex]
Step-by-step explanation:
Distributive property can be used to solve the equation, by multiplying [tex] \frac{2}{3} [/tex] with [tex] 6a, [/tex] and [tex] 9 [/tex]
Thus,
[tex] (\frac{2}{3}*6a) + (\frac{2}{3}*9) = 16.8 [/tex]
[tex] 2*2a + 2*3 = 16.8 [/tex]
[tex] 4a + 6 = 16.8 [/tex]
Subtract 6 from both sides.
[tex] 4a + 6 - 6 = 16.8 - 6 [/tex]
[tex] 4a = 10.8 [/tex]
Divide both sides by 4 to solve for a
[tex] \frac{4a}{4} = \frac{10.8}{4} [/tex]
[tex] a = 2.7 [/tex]
Suppose we want to test the claim that the majority of adults are in favor of raising the vote age to 21. Is the hypothesis test left tailed, right tailed or two tailed
Answer:
The hypothesis test is right-tailed.
Step-by-step explanation:
We are given that we want to test the claim that the majority of adults are in favor of raising the voting age to 21.
Let p = proportion of adults who are in favor of raising the voting age to 21
So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\leq[/tex] 50%
Alternate Hypothesis, [tex]H_A[/tex] : p > 50%
As we know that the majority is there when we have more 50% chance of happening of that event.
Here, the null hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is less or equal to 50%.
On the other hand, the alternate hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is more than 50%.
This shows that our hypothesis test is right-tailed because in the alternate hypothesis, the greater than sign is included.
What is the relationship between angle a and angle b A) Vertical Angles B) Complementary Angles C) Supplementary Angles D) None of the above
Answer:
C. Supplementary
Step-by-step explanation:
Angle a and angle b are on the line CZA.
We can assume that line CZA is a straight line, which is equal to 180 degrees.
Since angle a and b are on the straight line together, they must add to 180 degrees. Therefore, they are supplementary angles.
So, choice C. Supplementary angles is correct.
What is the product?
Answer: A
Step-by-step explanation:
When multiplying matrices, find the sum of the product of the terms in the first row of the first matrix with the terms in the first column of the second matrix. Repeat for each row and column.
[tex]\left[\begin{array}{cc}a&c\\b&d\end{array}\right] \times \left[\begin{array}{cc}w&y\\x&z\end{array}\right]=\left[\begin{array}{cc}aw+cx&ay+cz\\bw+dx&by+dz\end{array}\right]\\\\\\\left[\begin{array}{cc}-3&4\\2&-5\end{array}\right]\times \left[\begin{array}{cc}3&-2\\1&0\end{array}\right]\\\\\\=\left[\begin{array}{cc}-3(3)+4(1)&-3(-2)+4(0)\\2(3)-5(1)&2(-2)-5(0)\end{array}\right]\\\\\\=\left[\begin{array}{cc}-5&6\\1&-4\end{array}\right][/tex]
A building has eight levels above ground and one level below ground. The height of each level from floor to ceiling is feet. What is the net change in elevation going from the floor of the underground level to the ceiling of the fourth level above ground? Assume the floor at ground level is at an elevation of zero feet.
Answer:
72.5 feet
Step-by-step explanation:
The height of each level from floor to ceiling is 14 1/2 feet.
We want to find the net change in elevation going from the floor of the underground level to the ceiling of the 4th level above ground.
In other words, the change in elevation in going 5 floors up.
Each level has a height of 14 1/2 feet (29/2 feet).
Therefore, the height of the fourth level above ground from the underground level will be 5 times the height of one level:
h = 5 * 29/2 = 72.5 feet
The net change in elevation from the floor of the underground level to the 4th level above ground is:
ΔE = [tex]h_4 - h_0[/tex]
[tex]h_0 = 0 feet\\\\h_4 = 72.5 feet[/tex]
Therefore:
ΔE = 72.5 - 0 = 72.5 feet
Answer:
72.5
Step-by-step explanation:
Consider a triangle ABC like the one below. Suppose that B=36°, C= 62°, and b= 40. (The figure is not drawn to scale.) Solve the triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".
Answer:
A=82°
a= 67.4
c = 60.1
Step-by-step explanation:
For A
A+B+C =180°
A= 180-(B+C)
A= 180-(36+62)
A= 189-(98)
A= 82°
For a
a/sinA= b/sinB
a/sin82= 40/sin36
a= (40*sin82)/sin36
a=( 40*0.9903)/0.5878
a=67.39
Approximately = 67.4
For c
c/sinC= b/sinB
c= (sinC*b)/sinB
c= (sin62*40)/sin36
c =(0.8829*40)/0.5878
c = 60.08
Approximately = 60.1
The item below is based on the following scenario.
In a third world country, 100 randomly selected people were surveyed about their socioeconomic class and religious affiliation. The results and an excerpt from this fictitious study follow:
Excerpt:
"Based on a chi-square test for independence, the working class differed from the middle class in the distribution of religious identification, χ2 (4, N = 100) = 11.73, p < .05."
The phi coefficient for this study is:________.
Answer:
φ = 0.34
Step-by-step explanation:
Given:
total number of observations = N = 100
chi-square test for independence χ2 = (4, N = 100) = 11.73
To find:
phi coefficient φ
Solution:
phi coefficient φ is computed as:
φ = √( χ2 / n )
= √ (11.73 / 100 )
= √0.1173
φ = 0.3425
Ingredients
•1 1/2
cups all-purpose flour.
• 31/2 teaspoons baking powder.
• 1 teaspoon salt.
1 tablespoon white sugar.
• 1 1/4 cups milk.
• 1 egg.
• 3 tablespoons butter.
1.) How much of each of the ingredients do you need to make 16 pancakes, 4 pancakes, 12pancakes? Explain which operations with fractions you used to obtain your answer.
Answer:
To make 16 pancakes, we would multiply each of the initial measurement of the ingredients by 16.
To make 4 pancakes, we would multiply each of the initial measurement of the ingredients by 4.
To make 12 pancakes, we would multiply each of the initial measurement of the ingredients by 12.
see explanation below
Step-by-step explanation:
If the ingredients to make 1 pancake is as follows:
1 1/2 cups all-purpose flour; 31/2 teaspoons baking powder; 1 teaspoon salt.
1 tablespoon white sugar.; 1 1/4 cups milk; 1 egg; and 3 tablespoons butter.
Then to make 16 pancakes, we would multiply each of the initial measurement of the ingredients by 16.
cups all-purpose flour =16× 1 1/2
= 16×3/2 = 24
teaspoons baking powder = 16 ×7/2 = 56
teaspoon salt = 1×16 = 16
tablespoon white sugar= 1×16 = 16
cups milk= 16×5/4 = 20
egg= 1×16 = 16
tablespoons butter= 3×16 = 48
Then to make 4 pancakes, we would multiply each of the initial measurement of the ingredients by 4.
cups all-purpose flour =4× 1 1/2
= 4×3/2 = 6
teaspoons baking powder = 4 ×7/2 =14
teaspoon salt = 1×4 = 4
tablespoon white sugar= 1×4 = 4
cups milk= 4×5/4 = 5
egg= 1×4 = 4
tablespoons butter= 3×4 = 12
Then to make 12 pancakes, we would multiply each of the initial measurement of the ingredients by 12.
cups all-purpose flour =12× 1 1/2
= 12×3/2 = 18
teaspoons baking powder = 12 ×7/2 =42
teaspoon salt = 1×12 = 12
tablespoon white sugar= 1×12 = 12
cups milk= 12×5/4 = 15
egg= 1×12 = 12
tablespoons butter= 3×12 = 36
The operation applied is multiplication with each fraction.
helPpppppppppPPppppPPPPPPppppppPPPPPPPPPpppppppp
Charli believes that if he flips a coin 650 times, it will land heads up exactly 325 times. What would you tell charli about her prediction?
Answer:
What I would tell Charli is that his prediction is somewhat right because there is a 50/50 chance of landing the coin on each side because 325 is half of 650.
Step-by-step explanation:
Tasha wants to measure the height of a tree that grows at an angle of 85° with respect to the ground.
When she is 80 feet away from the base of the tree she looks up. The angle from the ground to the top of
the tree is 25°. Approximately, how tall is the tree?
Answer: 35.9
Step-by-step explanation:
The tree is approximately 35.979 feet tall, computed using the sine rule.
What is the sine rule?The sine rule in a triangle can be shown as this.
A triangle ABC, with the values of the side BC = a, CA = b, and AB = b, follows the rule by:
(Sin A)/a = (sin B)/b = (sin C)/c.
How to solve the given question?In the question, we are informed about Tasha who is willing to measure the height of a tree, which grows at an angle of 85° with respect to the ground. Also, we are informed that when Tasha is 80 feet away from the base of the tree, then the angle from the ground to the top of the tree is 25°.
We are asked to find the height of the tree.
We first draw a triangle using the given details, AB being the tree, and C being the point where Tasha is.
We know ∠A = 180° - (∠B + ∠C) {By angle sum property of triangles)
or, ∠A = 180° - (85° + 25°) = 180° - 110° = 70°.
Now, by sine rule, we can say that:
(Sin A)/a = (sin B)/b = (sin C)/c.
or, (Sin 70°)/80 = (sin 85°)/b = (sin 25°)/c,
or, 0.93969262078/80 = 0.42261826174/c {We ignored the middle term as we only need the height of the tree, that is, c}
or, c = 0.42261826174*80/0.93969262078/80
or, c = 35.9792768309.
Therefore, the tree is approximately 35.979 feet tall, computed using the sine rule.
Learn more about the sine rule at
https://brainly.com/question/4372174
#SPJ2
8mi 200 yds - 2 mi 528 yds =
Answer:
5 mi 1432 yds
Step-by-step explanation:
8mi 200 yds
- 2 mi 528 yds
---------------------------
We have to borrow 1 mile and convert to yards
1 mile = 1760 yds
7mi 200+1760 yds
- 2 mi 528 yds
---------------------------
7mi 1960 yds
- 2 mi 528 yds
---------------------------
5 mi 1432 yds
Answer:
8mi 200yds - 2mi 528yds
= 5mi 1432yds
Step-by-step explanation:
1 mile = 1760 yards
8 miles = 7miles + 1 mile = 7 miles + 1760 miles = 7 miles 1760 yards
8miles 200 yards = 7miles + 1760 yards + 200 yards = 7miles + 1960 yards
then:
8mi 200 yds - 2 mi 528 yds = 7mi 1960yds - 2mi 528yds
7mi 1960yds
- 2mi 528yds
= 5mi 1432yds
A bag contains ten tiles labeled B, C, D, E, F, G, H, I, J, and K. One tile will be randomly picked.
What is the probability of picking a vowel?
Write your answer as a fraction in simplest form.
Answer:
1/5
Step-by-step explanation:
B, C, D, E, F, G, H, I, J, K. = 10 tiles
E and I are vowels
P ( vowel) = vowels/ total
=2/10
= 1/5
In total, we are given 10 letters.
The vowers are; A, E, I, O, and U
In the bag, we can see we have 2 vowels (E and I)
This means that 2 out of the 10 letters are vowels (2/10).
We can simplify the fraction by dividing by 2.
2÷2/10÷2
1/5
Therefore, the answer is 1/5.
Best of Luck!
The area of each square below is 1 square unit. How can we calculate the area of the striped region? A: 7/5 x 1/2 B: 6/12 x 2/10 C: 7/5 x 2/10
Answer:
wrong thing
Step-by-step explanation:
13 arent shaded of the 20 units
7/20 are shaded, 7X1=7, 2X5=10
If John has pairs of red, orange, yellow, blue and green socks, how many can he wear them in over 5 days, repetition is allowed because hog is alright with wearing dirty socks. A)5! B)25 C)5^5 D)125
Answer:
Total ways = 5×5×5×5×5
Total ways = 5^5
Total ways = 3125
Therefore, the correct option is C) 5^5
Step-by-step explanation:
John has pairs of red, orange, yellow, blue and green socks.
Which means that John has 5 different colors pairs of socks.
We are asked to find out in how many ways can he wear them over 5 days.
1st Day:
On the first day John has 5 ways to choose from.
2nd Day:
On the second day John has 5×5 ways to choose from.
(Since repetition is allowed)
3rd Day:
On the third day John has 5×5×5 ways to choose from.
4th Day:
On the fourth day John has 5×5×5×5 ways to choose from.
5th Day:
On the fifth day John has 5×5×5×5×5 ways to choose from.
Total ways = 5×5×5×5×5
Total ways = 5^5
Total ways = 3125
Therefore, the correct option is C) 5^5