Help!!!!!!!!!!!!!!!!!!!!!
ON A RECENT MATH TEST MARY SCORED 14 OF 16 CORRECT. JOHN SCORED 23 OF 26AND JOE SCORED 9 OF 11 CORRECT. WHO ACHIEVED THE HIGHER SCORE?
Answer:
I think the answer is mary
Answer:
John
Step-by-step explanation:
Mary: 87%-88% (0.875)
John: 88% (0.884)
Joe: 81% (0.818)
the slope of the line joining points (3 ;2) and (0;a) is-1 determine the value of a
Given:
The slope of the line joining points (3,2) and (0,a) is -1.
To find:
The value of a.
Solution:
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope of a line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope of the line joining points (3,2) and (0,a) is -1. So,
[tex]\dfrac{a-2}{0-3}=-1[/tex]
[tex]\dfrac{a-2}{-3}=-1[/tex]
Multiply both sides by -3.
[tex]a-2=-1(-3)[/tex]
[tex]a-2=3[/tex]
[tex]a=3+2[/tex]
[tex]a=5[/tex]
Therefore, the value of a is 5.
What’s the correct answer I will mark as brainlest ASAP
Answer:
9
Step-by-step explanation:
240x.70=168 left after 30% to teacher
168/2=84 left after putting half in jar
25 students x 3=75 given to students
84-75=9 left
A national manufacturer of ball bearings is experimenting with two different processes for producing precision ball bearings. It is important that the diameters be as close as possible to an industry standard. The output from each process is sampled and the average error from the industry standard is measured in millimeters. The results are presented next.
Process A Process B
Sample mean 2.0 3.0
Standard deviation 1.0 0.5
Sample size 12 14
The researcher is interested in determining whether there is evidence that the two processes yield different average errors. The population standard deviations are unknown but are assumed equal. If What is the decision if we use 1% level of significance?
a. Fail to reject the null hypothesis and conclude the means are different.
b. Reject the null hypothesis and conclude the means are different.
c. Fail to reject the null hypothesis and conclude the means are the same.
d. Reject the null hypothesis and conclude the means are the same.
Answer:
b). Reject the null hypothesis and conclude the means are different.
Step-by-step explanation:
A hypothesis is characterized as null when the data/statistics display that there is no distinction between the particular features of the groups. As per the details provided, the decision would be to 'reject/deny the null hypothesis and deduce that the means of the processes are different.' This shows that there is no association among the variables due to the distinction in the means of the two processes and other data provided. Thus, option b is the correct answer.
where does f(x) and the line y=1 intersect?
determine the perimeter of quadrilateral CGHI
Answer:
if the sides are 2, 3, 4.2, 2.6 then the perimeter is 11.8
Step-by-step explanation:
just add them together
A bag contains 5 blue, 4 red, 7 black and 2 white marbles. What is the probability of selecting a marble that is NOT white or red?
Consider the series 7/9+7/27+7/81+1/243 Which expression defines Sn?
Answer:
It’s d
Step-by-step explanation:
The sum of the series is given by option D.
What is a Geometric Series?A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.
The series is
7/9+7/27+7/81+1/243 +.................
The common ratio is
(7/27) / (7/9) = 1/3
r < 1
The sum of the geometric series when r < 1 is given by
Sn = a ( 1-rⁿ)
Sn = [tex]\rm \lim_{n \to \infty}[/tex] (7/9) ( 1- (1/3)ⁿ)
To know more about Geometric Series
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What is the slope of the following graph?
20 POINTS HELP!!
Find the value of x and y
Answer:
X is 15 and Y is 40° That's the answer
Help please this is for an important test
A cup on the teacher's desk contains 12 pens. There are 3 pens with blue ink and 9 pens with black ink. One student at a time selects a pen at random to sign the attendance sheet and then puts the pen back in the cup.
What is the probability that the first three students all randomly select a pen with blue ink?
A. 1/4
B. 1/27
C. 1/64
D. 1/220
We have 12 pens in total
P(first three pens are blue with replacement) = 3/12 * 3/12 * 3/12 =
(1/4) * (1/4) * (1/4) =
1/ 64
The required probability that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.
Given that,
A cup on the teacher's desk contains 12 pens. There are 3 pens with blue ink and 9 pens with black ink. One student at a time selects a pen at random to sign the attendance sheet and then puts the pen back in the cup.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total number of sample = 12
Favorable outcome = 3
Required probability that the first three students all randomly select a pen with blue ink = 3 / 12 × 3 / 12 × 3 / 12
= 1 / 64
Thus, the required probability that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.
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Last week, the daily low temperatures for a city, in degrees Celsius, were 5, 8, 6, 5, 10, 7, and 1. What was the average low temperature? Show your reasoning.
The cost of silver is a function of the weight,
what is the output when the input is 15
According to a government study, among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,060. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $495. Use Appendix B.3. (Round your z-score computation to 2 decimal places and final answers to 2 decimal places.) What percent of the adults spend more than $2,575 per year on reading and entertainment
Answer:
The answer is [tex]15.00[/tex] %
Step-by-step explanation:
Let's start defining the random variable. We have the following variable :
[tex]X:[/tex] '' The amount spent per year on reading and entertainment among adults in the 25- to 34- year age group ''
We assume that [tex]X[/tex] follows the normal distribution. We can write :
[tex]X[/tex] ~ N ( μ , σ )
Where μ is the mean of the distribution and σ is the standard deviation (both are parameters from the normal distribution). Using the data from the question :
[tex]X[/tex] ~ [tex]N(2060;495)[/tex]
In order to answer the question, we first must calculate the probability :
[tex]P(X>2575)[/tex] (I)
We are going to calculate this probability by making a substitution. If we substract the mean to the variable [tex]X[/tex] and then divide by the standard deviation, we obtain a new variable [tex]Z[/tex] which can be modeled as a [tex]N(0;1)[/tex]. This is convenient because the cumulative distribution from [tex]Z[/tex] is tabulated and can be found on any book or either in Internet.This process is called standardizing the variable :
[ ([tex]X[/tex]-μ) / σ ] = [tex]Z[/tex] ~ [tex]N(0;1)[/tex] ⇒ If we apply this to the equation (I) ⇒
[tex]P(X>2575)=P(Z>\frac{2575-2060}{495})=P(Z>1.04)[/tex]
Then,
[tex]P(Z>1.04)=1-P(Z\leq 1.04)[/tex] (II)
Looking in any cumulative distribution table of [tex]Z[/tex] ⇒ [tex]P(Z\leq 1.04)=0.85[/tex]
If we replace this value in (II) ⇒
[tex]P(Z>1.04)=1-P(Z\leq 1.04)=1-0.85=0.15[/tex]
Using percent we obtain [tex]15.00[/tex] %
Find the area of lis triangle.
Round to the learest tenth.
8 m
62°
12 m
[?] m2
(-14, 3), (20, -11) slope
Answer:
= -7/ 17
Step-by-step explanation:
To find the slope when given two points
m= ( y2-y1)/(x2-x1)
= ( -11-3)/(20- -14)
= (-11-3)/(20+14)
= -14/34
Divide top and bottom by 2 to simplify
= -7/ 17
Answer:
-7/17
Step-by-step explanation:
Plug these points into the equation y2-y1/x2-x1. In this case, the y2 value is -11 and the y1 value is 3. In this case, the x2 value is 20 and the x1 value is -14. Therefore, the equation is -11-3/20--14. This is equal to -14/20+14 which is equal to -14/34. This is equal to -7/17. Therefore, the slope is -7/17
If this helps please mark as brainliest
What is the equation of a circle with center at (4, -2) and a radius of 7?
let h= 4, k=-2 and r= 7 then
(x-h)^2 + (y-k)^2 = r^2
(x-4)^2 + (y+2)^2 = 7^2
x^2 -8x +16 + y^2 +4y +4 = 49
x^2 +y^2 -8x +4y +16 +4-49 = 0
x^2 + y^2 -8x +4y -29 = 0 is the required eq
Write the ratio as a fraction in simplest form. Use / for fraction. Do NOT use any labels, and Do NOT type any spaces. Type the fraction only. 2 feet to 20 feet.
Answer:
It would be 1/10
Step-by-step explanation:
The ratio is 2:20
To put the ratio in fraction form you simply put 2/20
Then divide the fraction by 2 to get 1/10
What is the missing length?
8 mi
Area of shaded region = 33.2 mi?
W =
miles
Suppose a person offers to play a game with you. In this game, when you draw a card from a standard 52-card deck, if the card is a face card you win "$2, and if the card is anything else you lose $1". If you agree to play the game, what is your expected gain or loss (in dollars) per game? (Recall that there are 12 face cards in a standard 52-card deck. Round your answer to two decimal places.) $
Answer:
Your expected loss per game is of $0.31.
Step-by-step explanation:
In a standard 52-card deck, we have that:
There are 12 face cards.
What is your expected gain or loss (in dollars) per game?
12/52 probability of winning $2.
1 - 12/52 = 52/52 - 12/52 = 40/52 probability of losing $1. So
[tex]E = \frac{12}{52}*2 - \frac{40}{52}*1 = \frac{24 - 40}{52} = -\frac{16}{52} = -0.31[/tex]
Negative, so a loss is expected.
Your expected loss per game is of $0.31.
PLEASE HELP!!!!
Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions.
sin(θ) =
cos(θ) =
tan(θ) =
csc(θ) =
sec(θ) =
cot(θ) =
Answers:
sin(θ) = -15/17 cos(θ) = 8/17 tan(θ) = -15/8 csc(θ) = -17/15 sec(θ) = 17/8 cot(θ) = -8/15=======================================================
Explanation:
Refer to the diagram below. The point (8,-15) is in quadrant 4, which is the southeast quadrant. A right triangle forms where the hypotenuse goes from the origin to the terminal point in question. After applying the pythagorean theorem, the hypotenuse is 17 units long.
Opposite the reference angle θ, greek letter theta, the side is -15. Usually negative lengths are not allowed and don't make any sense; however, I'm making this negative to ensure that sin(θ) ends up negative. This will help with other trig ratios as well.
So,
sin(angle) = opposite/hypotenuse
sin(θ) = -15/17
-----------------
The cosine ratio will involve the adjacent and hypotenuse
cos(angle) = adjacent/hypotenuse
cos(θ) = 8/17
------------------
Tangent is opposite over adjacent
tan(angle) = opposite/adjacent
tan(θ) = -15/8
------------------
The functions csc(θ), sec(θ), and cot(θ) are the functions cosecant, secant, and cotangent in that order.
They represent the reciprocal of sine, cosine, and tangent in that order as well.
Eg: sec(θ) is the reciprocal of cos(θ)
This means,
csc(θ) = -17/15 which is the flip of sin(θ) = -15/17sec(θ) = 17/8 which is the flip of cos(θ) = 8/17cot(θ) = -8/15 which is the flip of tan(θ) = -15/8As an alternative, you could also say
csc(θ) = hypotenuse/opposite = 17/(-15) = -17/15sec(θ) = hypotenuse/adjacent = 17/8cot(θ) = adjacent/opposite = -15/8------------------------
Here's a list of formulas that you can write down on a reference sheet
sin(θ) = y/h cos(θ) = x/h tan(θ) = y/x csc(θ) = h/y sec(θ) = h/x cot(θ) = x/ywhere h is the hypotenuse and h = sqrt(x^2+y^2). Notice that something like tan = y/x is the reciprocal of cot = x/y. The x and y refers to the coordinates of the terminal point given to you. Make sure to reduce all fractions as much as possible. In our case, none of the fractions can be reduced any further.
NO LINKS What is the surface area? 5 cm 8 cm 7 cm square centimeters
Answer:
262 feet²
Step-by-step explanation:
2(5×8 + 5×7 + 8×7)
2(40+35+56)
2(131)
262
---
hope it helps
Marcus weighs 45.5 kg what is his weight in grams
Answer: 45500
Step-by-step explanation: 45.5*1000, 1 kg=1000g
Answer:
45500
Step-by-step explanation:
please comment on his
Show work for this equation
Answer:
49ft
Step-by-step explanation:
Find x by using
cos38=x/62
This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions and intersections can be calculated as for any subsets. Given two relations R and S from a set A to a set B, R ∪ S = {(x, y) ∈ A ✕ B | (x, y) ∈ R or (x, y) ∈ S} R ∩ S = {(x, y) ∈ A ✕ B | (x, y) ∈ R and (x, y) ∈ S}. Let A = {−4, 4, 7, 9} and B = {4, 7}, and define relations R and S from A to B as follows. For every (x, y) ∈ A ✕ B, x R y ⇔ |x| = |y| and x S y ⇔ x − y is even. Which ordered pairs are in A ✕ B, R, S, R ∪ S, and R ∩ S? (Use set-roster notation to enter your answers.) A ✕ B = R = S = R ∪ S = R ∩ S =
The ordered pairs in each set are:
A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}
R = {(-4, 4), (4, 4), (7, 7), (9, 9)}
S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}
R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}
R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}
We have,
A ✕ B:
The concept of Cartesian product was used to generate all possible ordered pairs by pairing each element from set A with each element from set B.
R:
The concept of the absolute value was used to determine the condition for an ordered pair (x, y) to be in relation R, which is that the absolute value of x is equal to the absolute value of y.
S:
The concept of even numbers was used to determine the condition for an ordered pair (x, y) to be in relation S, which is that the difference between x and y is an even number.
R ∪ S:
The concept of a union was used to combine the ordered pairs that are in either relation R or relation S.
R ∩ S:
The concept of intersection was used to find the ordered pairs that are common to both relation R and relation S.
Thus,
The ordered pairs in each set are:
A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}
R = {(-4, 4), (4, 4), (7, 7), (9, 9)}
S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}
R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}
R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}
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What is the scale factor of this dilation?
9514 1404 393
Answer:
3/5
Step-by-step explanation:
The scale factor is the ratio ...
(image measure)/(original measure)
The diagram shows that the original measure of 5 becomes a measure of 3 on the image. The scale factor is 3/5.
PLEASE PLEASE PLEASE PLEASE HELP ME! Image below I Am Crying :((
Answer:
Its X-1
Step-by-step explanation:
Answer:
x= 5
Step-by-step explanation:
the | | around a number is called an absolute. It simply means that the number is always going to be positive. If you have |-4| it's the same as saying 4.
PLS HELP :) Factorise fully the following:
a) x² + x
b) 3x - 9x
c) 7x - 35x
d) 4x^3+ 24x
^2
Answer:
a) x(x+1)
b) 3x(1-3)
c) 7x(1-5)
d) 4x²(x+6)
Step-by-step explanation:
When factorising, the most important thing to do is find what the terms have in common. Divide each term by what they have in common, then multiply it by the entire expression so the value doesn't change. Also, you can always check your answer by multiplying it out to see if you get what you started with.
a)
x² + x, both terms have 'x' in common:
x( (x²/x) + (x/x) ) = x(x+1)
b)
3x - 9x, both terms have '3x' in common:
3x( (3x/3x) - (9x/3x) ) = 3x(1-3)
c)
7x - 35x, both terms have '7x' in common:
7x( (7x/7x) - (35x/7x) ) = 7x(1-5)
d)
4x³+ 24x², both terms have 4x² in common:
4x²( (4x³/4x²) + (24x²/4x²) ) = 4x²(x+6)
Help!!!!!!!!!!!!!!!!!