Answer:
y=(1/4)x + 9 OR y=x/4 +9
Step-by-step explanation:
Perpendicular lines have a slope/gradient of -1/n
Because the slope of this line is -4, the slope of a line perpendicular to it would be 1/4.
y=(1/4)x+b
(0,9) is the y-intercept, so b = 9
y=(1/4)x + 9 OR y=x/4 +9
Greatest common factor for 30 abd 42
Answer:
6
Step-by-step explanation:
Because you are familiar with your times tables, you know that ...
30 = 6·5
42 = 6·7
The greatest common factor is 6.
Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or nutrient content. An article reported on a pilot study in which each of 58 individuals in a sample was asked to estimate the calorie content of a 12 oz can of beer known to contain 153 calories. The resulting sample mean estimated calorie level was 193 and the sample standard deviation was 88. Does this data suggest that the true average estimated calorie content in the population sampled exceeds the actual content
Answer:
We conclude that the true average estimated calorie content in the population sampled exceeds the actual content.
Step-by-step explanation:
We are given that an article reported on a pilot study in which each of 58 individuals in a sample was asked to estimate the calorie content of a 12 oz can of beer known to contain 153 calories.
The resulting sample mean estimated calorie level was 193 and the sample standard deviation was 88.
Let [tex]\mu[/tex] = true average estimated calorie content in the population sampled.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 153 calories {means that the true average estimated calorie content in the population sampled does not exceeds the actual content}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 153 calories {means that the true average estimated calorie content in the population sampled exceeds the actual content}
The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean estimated calorie level = 193 calories
s = sample standard deviation = 88
n = sample of individuals = 58
So, the test statistics = [tex]\frac{193-153}{\frac{88}{\sqrt{58} } }[/tex] ~ [tex]t_5_7[/tex]
= 3.462
The value of t test statistics is 3.462.
Since, in the question we are not given the level of significance so we assume it to be 5%. Now, at 0.05 significance level the t table gives critical value of 1.6725 at 57 degree of freedom for right-tailed test.
Since our test statistic is more than the critical value of t as 3.462 > 1.6725, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the true average estimated calorie content in the population sampled exceeds the actual content.
1. Solve the system of equations
-x+y=0
4x - 3y=-3
I
=
Answer:
x = -3
y = -3
Step-by-step explanation:
To solve this system of equations, you can use the elimination method, which is to have one of the variables match, but be the opposite sign of the other:
- x + y = 0
4x - 3y = -3
The easier one to match is the 1st equation, and to make it match oppositely, you multiply the whole equation by 4:
4(-x + y = 0)
-4x + 4y = 0
4x - 3y = -3
-4x and 4x cancel each other out:
4y = 0
-3y = -3
_______
y = -3
Then plug in -3 for y, into one of the equations:
- x + y = 0
- x - 3 = 0
Add 3 to both sides:
- x = 3
Divide both sides by -1:
x = -3
A company rents water tanks shaped like cylinders. Each tank has a diameter of 6 feet and a height of 2 feet. The cost is $4 per cubic foot. How much does it cost to rent one water tank?
Answer:
226.08
Step-by-step explanation:
im pretty sure
Consider the triangle.
Which statement is true about the lengths of the sides?
45°
Each side has a different length.
Two sides have the same length, which is less than the
length of the third side.
D. The three sides have the same length.
D. The sum of the lengths of two sides is equal to the
length of the third side.
45°
Answer:
Assuming this is a 45 - 45 - 90 right triangle, The answer would be B) Two sides have the same length, which is less than the length of the third side
Hence statements stated true false along with reason
What is triangle?A triangle is a three-sided polygon with three edges and three vertices in geometry. The sum of a triangle's interior angles equals 180 degrees is the most significant feature of a triangle.
Triangle of Isosceles: Triangle with Obtuse Angle
Triangle Inequality in the Scalene Triangle
Triangle Surface Area: Triangle with Sharp Angle
Triangle with Right Angles: Triangle Form of Pascal...
How to solve?Given a triangle and statements related to it let's check
Each side has a different length.
-This statement can't always be true as in equilateral triangle all sides are equal
Two sides have the same length, which is less than the
length of the third side.
-this statement is correct but when it is a right angles triangle where other two anges are 45degrees each then this can't be true.
The three sides have the same length.
-this statement is true for equilateral triangle
D. The sum of the lengths of two sides is equal to the
length of the third side.-
-This statement is true when we talk of only right angled triangle
Learn more about triangleshttps://brainly.com/question/17335144
#SPJ2
A bag of colored marbles contains 16 blue marbles, 12 red marbles, and 8 yellow marbles.
What is the theoretical probability of drawing a red marble?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
The theoretical probability of drawing a red marble is 1/3.
Step-by-step explanation:
1. Add all of the marbles together to get total marbles. 16 + 12 + 8 = 36.
2. Create a fraction, with numerator being favorable outcomes and denominator being total possible outcomes. In this case it would be 12/36.
3. Since it is asking for a reduced fraction, simplify 12/36 to 1/3.
An angle whose measure is -102° is in standard position. Which quadrant does the terminal side of the angle fall?
Quadrant 1
Quadrant 2
Cuadrant 3
Cuadrant 4
Answer:3
Step-by-step explanation:
edg
simplify [tex]\sqrt{.49x^{18} }[/tex] where x<0
Answer:
-7x⁹
Step-by-step explanation:
[tex]\sqrt{49x^{18}} = \sqrt{(7^2)(x^9)^2} =\sqrt{(7x^{9})^2} = |7x^9|[/tex]
Since x < 0 ,then |7x⁹| = -7x⁹
Oswaldo is cooking a big dinner. He buys 301230\dfrac{1}{2}302130, start fraction, 1, divided by, 2, end fraction ounces of sweet potatoes, 131413\dfrac{1}{4}134113, start fraction, 1, divided by, 4, end fraction ounces of asparagus and 201420\dfrac{1}{4}204120, start fraction, 1, divided by, 4, end fraction ounces of squash.
How many pounds of vegetables did Oswaldo buy altogether?
Answer:
4
Step-by-step explanation:
30 + 20 + 13 = 63, + fractions = 64. But you have to divide to get to pounds. So 64 / 16 = 4
YAY
log 10(x + 3) – log 10(x-3) = 1
Answer:33/9
Step-by-step explanation:
Log10(x+3)-Log10(x-3)=1
Log10((x+3)/(x-3))=1
(x+3)/(x-3)=10^1
(x+3)/(x-3)=10
Cross multiply
x+3=10(x-3)
Open brackets
x+3=10x-30
Collect like terms
10x-x=30+3
9x=33
Divide both sides by 9
9x/9=33/9
x=33/9
Rewa Delta Union RugbyCEOhas become concerned about the slow pace of the rugby gamesplayed inthe current union rugby, fearing that it will lower the spectator attendance. The CEOmeets with the union rugbymanagers and refereesanddiscusses guidelines for speeding upand makingthe gamesmore interesting and lively. Before the meeting, the mean duration of the15-sided rugbygame timewas 3 hours, 5 minutes, that is, 185 minutes.This includes all the breaks and injury times during the game. A random sample of 36 of the 15-sided rugbygames after themeeting showed a mean of 179 minutes with a standard deviation of 12 minutes.Testing at the 1% significance level, can you concludethat the mean duration of 15-sided union rugbygames has decreased after the meeting?
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
Ollivanders stuffed bear shop has 456 bears in stock exactly half of them Are made from wool how many wool does Mr.oillvander have in stock
Answer:
228 of them are made from wool, but there is no enough information to determine how many would he has in stock.
Step-by-step explanation:
Mr Ollivander's stuffed bear shop has 456 bears in stock, and exactly half of them are made from wool, this means that 1/2 of 456 are made from wool
1/2 of 456 = 1/2 × 456 = 456/2 = 228.
That is 228 of them are made from wool.
However, nothing tells us that this is all he has in his stock. There is no information available to determine how many would he has in stock.
Grace is going to a carnival that has games and rides. Each game costs $1.50 and each ride costs $2.50. Grace spent $16.50 altogether at the carnival and the number of games she played is twice the number of rides she went on. Write a system of equations that could be used to determine the number of games Grace played and the number of rides Grace went on. Define the variables that you use to write the system.
Answer:
g=games; r=rides1.5g +2.5r = 16.5g = 2rStep-by-step explanation:
Let g and r represent the numbers of games played and rides ridden, respectively. Then the system can be written ...
1.50g +2.50r = 16.50 . . . . . total amount spent
g = 2r . . . . . . . . . . . . . . . . . . relationship of games to rides
Answer:
# of Rides: 3
# of Games: 6
Step-by-step explanation:
First try any possible combinations of games *2 more than rides.
Ex: 1&2, 2&4, 3&6, 4&8
2.50*3 = $7.50
1.50*6 = $9.00
7.50 + 9 = $16.50
If # of rides = r and # of games = g, equation:
16.50 = 2.50r + 1.50g
A bike tire has a diameter of 16 inches. What is the radius of the bike? What is the circumference of the bike?
Answer:
radius-8 inches cause math
circumference-50.27
Step-by-step explanation:
The Empire State Building weighs about 7.3×108pounds. The One World Trade Center building weighs about 88,200,000 pounds. What is the total weight, in pounds, of these two buildings? Expressing your answer in scientific notation in the form a×10b, what are the values of a and b?
Answer:
[tex]8.182X10^8 $pounds[/tex]
a=8.182 and b=8
Step-by-step explanation:
Weight of the Empire State Building =[tex]7.3X 10^8[/tex] pounds.
Weight of the One World Trade Center building= 88,200,000 pounds.
=[tex]8.82 X 10^7[/tex]
The addition of the two:
[tex]=7.3X 10^8+8.82 X 10^7\\$To make it easier to add, express both as powers of 8\\=7.3X 10^8+0.882 X 10^8\\=(7.3+0.882)X10^8\\=8.182X10^8 $ pounds[/tex]
Comparing with the form: [tex]aX10^b[/tex]
a=8.182 and b=8
The complement of 20°17' is
Answer:69°43'
Step-by-step explanation:
Complementary angles add up to 90
Let them complement be y
y+20°17`=90°
Collect like terms
y=90-20°17' 20°17'=1217/60
y=90-1217/60
y=(60x90 -1 x 1217)/60
y=(5400-1217)/60
y=4183/60
y=69°43'
Nora made 15 gallons of lemonade for a community picnic.
Part A
Which of the following can be used to find the number of pints of lemonade that Nora made?
15 × 2 × 2
15 × 4 × 2
15 × 3 × 2
15 × 4 × 3
Part B
How many pints of lemonade did Nora make?
Enter your answer in the box.
pints
Answer:
I also belive for Part A the second one is the answer because it equals 120 Part B is 120 pints! Good Luck! And I hope this Helps!
Answer:
B
Step-by-step explanation:
4. Find the zeros for 0 = x2 + 6x + 9.
a. X= 3
b. x = -3
C. X = 3 and x = -3
d. x = 1 and x = 9
Answer:
b. x = -3
Step-by-step explanation:
0 = x^2 + 6x + 9
Factor
0 = (x+3) (x+3)
Using the zero product property
x+3 = 0 x+3 =0
x = -3
What number should be added to both sides of the equation to complete the square? x2 – 10x = 7
Answer:
25
Step-by-step explanation:
x^2 – 10x = 7
Take the coefficient of x
-10
Divide by 2
-10/2 = 5
Square it
5^2 = 25
Add this to both sides
x^2 – 10x+25 = 7+25
Is an estimate of 28,000 over under the actual peoduct of 360 68? How can you tell
Answer:
Over Estimate of the actual product.
Step-by-step explanation:
360*68= 24,480
The estimate of 28,000 is larger than the actual product 360 and 68 which is 24480, which means that the estimate is an over estimate (an over estimate means that the number you estimated is bigger than the actual number, and an under estimate is when the estimate is smaller than the actual number, Just FYI)
which expresion has a valume of 7/12
Answer:
1/1 x 7/1 x 1/12
Is there any options?
Step-by-step explanation:
Answer:6/8 adding 1/4
Step-by-step explanation: Because im right probably
Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius, r, of
modeled by the function r(s)=315, where sis time in seconds.
The area of the spill when s=5 seconds is
1 square inches.
Reset
Reset
Next
Next
Answer:
[tex]45\pi$ square inches[/tex]
Step-by-step explanation:
The radius, r of the expanding circle of oil is modeled by the function:
[tex]r=3\sqrt{s}[/tex] , where s is time in seconds.
When s=5
Radius [tex]r(5)=3\sqrt{5}$ inches[/tex]
Area of a circle [tex]=\pi r^2[/tex]
Therefore, the area of the oil spill when s=5 seconds
[tex]=\pi* (3\sqrt{5})^2\\=45\pi$ square inches[/tex]
The area of the spill when s=5 seconds is 45pi square inches.
¿1 y media taza x 9?
Answer: [tex]1\frac{1}{2} *9=\frac{3}{2}*9=\frac{27}{2}=13\frac{1}{2}[/tex]
Step-by-step explanation:
Answer: 27
-------
2
Step-by-step explanation:
g We are told that the data is representative of the two populations (U.S. males aged 20-29 years and U.S. males aged 75 years), and we will assume that researchers collected random samples. The samples are very large; therefore, the conditions are met for use of the T-test. Using StatCrunch, we find a T-score of 5.3 and a P-value of "< 0.0001." What can we conclude
Answer:
Step-by-step explanation:
With a T-score of 5.3 and a P-value of "< 0.0001." we can conclude that there is sufficient statistical evidence to prove that the data provided is not a representative of the two populations as the p value is less.
Two squares are similar. The first square has sides that measure 4 inches, and the second squares has sides that measure 12 inches. The scar factor used to get from the first square to the second one is
Answer:
3
Step-by-step explanation:
Well, first off I'm assuming that by "scar factor" you mean scale factor. So if the two squares are similar then that means the sides are also similar, that means that they are equivalent. So all you have to do is 12/4 to get 3. So then to check it, you do 4 times 3 which gets you to 12.
So the final answer is 3
the sum of three consecutive numbers is 114 . what is the smallest of these numbers
Answer:
x + (x+1) + (x+2) = 114
3x = 111
x = 37
the numbers are 37, 38 and 39
the smallest number is 37
Step-by-step explanation:
Solve SA = πrs + π r2 for s A) -r B) SA + r C) SA π2r3 D) SA - πr2 πr
Answer:
(SA - π r^2)/πr = s
Step-by-step explanation:
SA = πrs + π r^2
Subtract π r^2 from each side
SA - π r^2 = πrs + π r^2-π r^2
SA - π r^2 = πrs
Divide each side by πr
(SA - π r^2)/πr = πrs/πr
(SA - π r^2)/πr = s
Answer:
D
Step-by-step explanation:
SA = πrs + πr²
SA - πr² = πrs
s = (SA - πr²)/πr
Which phrase represents this expression?
(47−17)×4
A. 4 times the difference of 47 and 17
B. 4 times the difference of 17 and 47
C. the difference of the product of 4 times 17 and 47
D. the difference of 47 and the product of 4 times 17
Answer:
I think its A
Step-by-step explanation:
The scatter plot for which type of data is most likely to suggest a linear association between
the two variables?
ages and heights of a group of dogs
time working out and strength of muscles
level of water in a reservoir each day and the day's date during one month
number of books returned to the library each day and the day's date over a period of one week
Plzzzz help
Answer:
level of water in a reservoir each....
Step-by-step explanation:
The scatter plot
A scatter plot is like a scatter chart or graph that uses the dots for representing the values of two different numeric variables. The horizontal value indicates the individual point data. Thus is used for observing the realtisohips between the variables.
This the answer is level of the water in a dam each day and date during 1 month.
The scatter plot can tell you the values for the set of data. The points may be given in different sizes, colors, and shapes. The data is displayed in points. The values are shown on the vertical axis. The relationship of the data can positive, negative, and neutral. The scatter plot can display a mosaic and a fluctuational diagram.Hence the option C is correct.Learn more about the which type of data.
brainly.com/question/22485501.
why are the side lengths of a right triangle a pythagorean triple
Explanation:
We assume your question is "why is that name given to these three numbers?"
There are many names in mathematics that are given to sequences or sets of numbers having a particular characteristic. The term "Pythagorean triple" is usually reserved for three positive integers that satisfy the relation "the sum of the squares of the smaller two is equal to the square of the largest."
This relationship exists between the side lengths of a right triangle, which is the point of the Pythagorean theorem. So, integer side lengths of a right triangle constitute a "Pythagorean triple."
_____
If your question is "why do right triangle side lengths have the relationship specified by the Pythagorean theorem?", that demands a different answer. In general, the sides and angles of a triangle obey the Law of Sines and the Law of Cosines.
One of the expressions of the Law of Cosines is ...
c² = a² +b² -2ab·cos(C)
where C is the angle opposite side c in the triangle. You may recall that the cosine of 90° is zero, so the cosine term in this equation vanishes when angle C is a right angle. The remaining equation is ...
c² = a² +b²
This is an expression of the Pythagorean theorem, and it is true only for right triangles.
