Answer: x= -2/7, y = 10/7
Step-by-step explanation: 1) 2x +6y = 8 and 2) 3x + 2y = 2
Multiply equation 2) by -3 and you get -9x -6y = -6.
Add together and sum is -7x = 2 and x= -2/7 then insert to eat, 2) value of x:
3·(-2/7) +2y = 2 and 2y = 2+ 6/7 2y = 20/7 and y = 10/7
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34). If one ticket is purchased, what is the probability of winning the jackpot? Testir
The probability of winning the jackpot is 1/32728332.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34).
Total number of white balls = 43
Number of combinations of selecting 5 from 43 = 43C₅
= 43! / (5! × 38!)
= 962598
Total number of gold balls = 34
Number of combinations of selecting 1 from 34 = 34C₁
= 34
Total number of ways of selecting 5 white balls and 1 gold ball = 962598 × 34 = 32728332
There is only 1 way for which the player wins the jackpot.
Probability of winning the jackpot = 1/32728332
Hence the required probability is 1/32728332.
Learn more about Combinations here :
https://brainly.com/question/13027684
#SPJ2
Consider the dot plot which shows the distribution of data collected on the amount of time Jane spent drying her hair each
morning. Which statement BEST describes the center of the data?
A)
median is less than the mean
B)
median is greater than the mean
mean is greater than the median
D)
mean is less than half the range
The correct answer is option A, the median is less than the mean.
What is the median?The median is a measure of central tendency in statistics that represents the middle value of a data set when it is arranged in order. It is the value that separates the upper half of the data from the lower half.
This is because if the median is less than the mean, it indicates that there are some values in the data set that are larger than the mean, which would result in a skewed distribution to the right.
If the data set is skewed to the right, there will be more values on the left-hand side of the dot plot, and the median will be less than the mean. This is a common characteristic of skewed data distributions, and it is likely that the data on the amount of time Jane spent drying her hair each morning is not evenly distributed.
The correct answer is median is less than the mean.
To know more about the median follow
https://brainly.com/question/30503220
#SPJ2
F(x)=8x sqrt(x-x^2) Find the exact maximum
First take note of the domain of f(x) ; the square root term is defined as long as x - x ² ≥ 0, or 0 ≤ x ≤ 1.
Check the value of f(x) at these endpoints:
f (0) = 0
f (1) = 0
Take the derivative of f(x) :
[tex]f(x)=8x\sqrt{x-x^2}=8x\left(x-x^2\right)^{\frac12}[/tex]
[tex]\implies f'(x)=8\left(x-x^2\right)^{\frac12}+4x\left(x-x^2\right)^{-\frac12}(1-2x)=4\left(x-x^2\right)^{-\frac12}\left(2\left(x-x^2)\right)+x(1-2x)\right)=\dfrac{4(3x-4x^2)}{\sqrt{x-x^2}}[/tex]
For x ≠ 0, we can eliminate the √x term in the denominator:
[tex]x\neq0\implies f'(x)=\dfrac{4\sqrt x (3-4x)}{\sqrt{1-x}}[/tex]
f(x) has critical points where f '(x) is zero or undefined. We know about the undefined case, which occurs at the boundary of the domain of f(x). Check where f '(x) = 0 :
√x (3 - 4x) = 0
√x = 0 or 3 - 4x = 0
The first case gives x = 0, which we ignore. The second leaves us with x = 3/4, at which point we get a maximum of max{f(x) } = 3√3 / 2.
write a statement that describes the relationship between these two sequence 6,7,8,9,10 and 18,21,24,27,30
X
Y
Which segment is the triangle?
Answer:
be more pacific
Step-by-step explanation:
A store purchased glass vases for $4.50 and sold them for $7.58. What is the mark-up, as a percentage?
Round your answer to the nearest percent and include a percent sign (%).
Answer:
30%
Step-by-step explanation:
jusr subtract
Find the indicated term of the given geometric sequence.
a1 = 11, r = 3.4, n = 7
Answer:
a₇ = 16992.84
Step-by-step explanation:
Given that,
a₁ = 11, r = 3.4 and n = 7
The geometric sequence is given by :
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Put all the values,
[tex]a_7=11\times (3.4)^{7-1}\\\\=11\times (3.4)^6\\\\=16992.84[/tex]
So, the seventh term is equal to 16992.84.
Find the area of the
triangle.
9 cm
22 cm
[?] cm2
Answer:
11
Step-by-step explanation:
Half base times height
(20 POINTS)What is the slope-intercept form of the equation
the line that passes through the points (9, 5) and (4, 1)?
A) y = 4/5x - 4/5
B) y = 4/5x + 2/5
C) y = 4/5x - 11/5
D) y = 4/5x + 41/5
Answer:
i think option are not accurate
Step-by-step explanation:
look at given picture for more information
Simplify.
Remove all perfect squares from inside the square root.
√52x^4
Answer is: 2x^2 √13
Answer:
2x^2 √13
Step-by-step explanation:
Find the solution(s) to (x + 2)^2 = 49. Check all that apply.
Pleaseeee helppppppppp
Answer:
5.616 x 10^6
Step-by-step explanation:
Im sure that it's right.
1. You have applied for two scholarships: the TRIO Opportunity Grant (TOG) and the Vermont Opportunity in Education (VEOP) scholarship. From data collected over the years, the probability that you receive the VEOP scholarship is 0.25, the probability that you receive both scholarships is 0.15, and the probability that you get at least one of these scholarships is 0.37. a. What is the probability that you receive the TOG
Answer:
0.27 = 27% probability that you receive the TOG scolarship.
Step-by-step explanation:
I am going to solve this question treating these probabilities as Venn probabilities.
I am going to say that:
Event A: TOG scolarship
Event B: VEOP scolarship
The probability that you receive the VEOP scholarship is 0.25
This means that [tex]P(B) = 0.25[/tex]
Probability that you receive both scholarships is 0.15
This means that [tex]P(A \cap B) = 0.15[/tex]
The probability that you get at least one of these scholarships is 0.37.
This means that [tex]P(A \cup B) = 0.37[/tex]
What is the probability that you receive the TOG?
This is P(A). These measures are related by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A) = P(A \cup B) + P(A \cap B) - P(B)[/tex]
Replacing with the values in this question
[tex]P(A) = 0.15 + 0.37 - 0.25 = 0.27[/tex]
0.27 = 27% probability that you receive the TOG scolarship.
A book costs $1.49 and is sold in a retail store for $8.99. What is the percentage in mark up? *
Answer:
The mark up percentage of the book is 603.35 percent with respect to its initial price.
Step-by-step explanation:
Given that a book costs $ 1.49 and is sold in a retail store for $ 8.99, in order to determine what is the percentage in mark up, the following mathematical operations must be performed:
(8.99 / 1.49) x 100 = X
6.0335 x 100 = X
603.35 = X
Thus, the mark up percentage of the book is 603.35 percent with respect to its initial price.
What is the side length of a cube with a volume of 64 cubic inches?
Answer:
4
Step-by-step explanation:
4x4x4=64
Answer:
4
Step-by-step explanation:
volume of a cube = L³
V=L³
L=
[tex] \sqrt[3]{v}[/tex]
L =
[tex] \sqrt[3]{64} [/tex]
L = 4
The base of a solid is the region enclosed by the graphs of y=e^x, y=0, x=0, and x = 1. If each cross-section perpendicular to the x-axis is an equilateral triangle, then the volume is
(A) sqrt(3)/8(e^2-1)
(B) sqrt(3)/4(e^2-1)
(C) sqrt(3)/2(e^2-1)
PLS EXPLAIN
Answer:
A
Step-by-step explanation:
The base of a solid in the region enclosed by the graphs of y = eˣ, y = 0, x = 0, and x = 1. Each cross-section perpendicular to the x-axis is an equilateral triangle. We want to find the volume of the solid.
Please refer to the graph below. We are concerned with the red region.
In order to find the volume, we essentially sum up the area of the figure at each x value. So, we integrate from x = 0 to x = 1.
The area for an equilateral triangle is given by:
[tex]\displaystyle A=\frac{\sqrt{3}}{4}s^2[/tex]
Where s is the side length of the triangle.
Since the triangle lies perpendicular on the region, the side length of the triangle at x is simply y, which is eˣ.
Therefore, our volume is:
[tex]\displaystyle V=\int_0^1\frac{\sqrt3}{4}(y)^2\, dx[/tex]
Substitute:
[tex]\displaystyle V=\int_0^1\frac{\sqrt3}{4}(e^x)^2\, dx[/tex]
Evaluate the integral. Simplify:
[tex]\displaystyle V=\frac{\sqrt3}{4}\int_0^1e^{2x}\, dx[/tex]
Integrate using u-substitution:
[tex]\displaystyle V=\frac{\sqrt3}{8}\left(e^{2x}\Big|_0^1\right)[/tex]
Evaluate:
[tex]\displaystyle V=\frac{\sqrt3}{8}\left(e^{2(1)}-e^{2(0)} \right)[/tex]
Therefore, the volume of the solid is:
[tex]\displaystyle V=\frac{\sqrt3}{8}\left(e^2-1\right)[/tex]
Our answer is A.
Answer:
A.) sqrt(3)/8(e^2-1) is the answer.
Step-by-step explanation:
#CarryOnLearningWhich two values of xare roots of the polynomial below?
5x^2-5x+1
Answer:
Step-by-step explanation:
Apply the quadratic formula. The coefficients are {5, -5, 1}. The discriminant is b^2 - 4ac, which here works out to 25 - 4(5)(1), or 5. This positive result tells us that this quadratic has two unequal, real roots. These roots are:
-(-5) ± √5 5 ± √5
x = --------------- = -------------
10 10
Step-by-step explanation:
can't factor so can use quadratic
5 +/- √(25-20)/10
(5+√5)/10
(5-√5)/10
Create a mapping diagram of X and Y for the ordered pairs
(-2,4), (0, 1), (2,-5).
Is this relation a function?
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answer:
It is 276.32
The equation is 2 times pi times radius times height, plus 2 times pi times radius squared.
r=radius
h=height
π=pi (3.14)
The radius is half the diameter and is given. It is 4.
The height is also given. It is 7.
So, follow GEMDAS and plug it in.
(2 x 3.14 x 4 x 7) + (2 x 3.14 x 4^2)
Plug it into the calculator and it will give you 276.32.
Hope this helps!
Have a great day and please rate and put thanks if it helped.
Also, if you can, mark me!
Please help, anything would be very much appreciated
Answer:
answer is 5.50
Step-by-step explanation:
multiply 2.75 times two because 3 by 5 is half of 9 by 15
whats 1/8 y = 38 ?
how would i do this
Answer:
304
Step-by-step explanation:
I divided 38 by 1/8 and then checked if 304 times 1/8 equals 38
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{8}y = 38}[/tex]
[tex]\large\textsf{MULTIPLY 8 to BOTH SIDES}[/tex]
[tex]\mathsf{8 \times \dfrac{1}{8}y = 8\times 38}[/tex]
[tex]\mathsf{Cancel\ out: 8 \times \dfrac{1}{8}\ because\ that\ gives\ you\ 1}[/tex]
[tex]\mathsf{Keep: \ 8\times38\ because\ that\ helps\ you\ solve\ for\ your\ answer}[/tex]
[tex]\mathsf{y = 8\times38}[/tex]
[tex]\mathsf{8\times38 = \bf 304}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 304}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answer:
Let x be the number of 3- point questions and y be the number of 5-points questions.
Step-by-step explanation:
Ms.Thompsons english class has 24 students. As a reward for their hard, she would like to give each student 4 pieces of candy since she only has 75 pieces of candy, she will need to buy more.. which of the following equations should she use to find p, the number of pieces she needs to buy (no websites)
А Campus athletics is interested in the proportion of registered students living on campus who play basketball recreationally during the semester. They take a random sample of 198 registered students listed as living in campus housing and ask each whether or not they do so. A 95% confidence interval is correctly calculated from this data as (0.12, 0.18). Which of the following is the correct interpretation of this confidence interval ?
a. None of these are correct.
b. We are 95% confident that the proportion of the 198 sampled students that actually play basketball is between 0.12 and 0.18
c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.
d. The sample proportion of on-campus students that play basketball will be between 0.12 and 0.18 in 95% of samples of size 198
Answer:
c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.
Step-by-step explanation:
According to the question, it is mentioned that there is 95% confidence interval and it is calculated (0.12,0.18)
So the correct interpretation is that they are 95% confident that the students who play basketballs the proportion should lies between 0.12 and 0.12
So, the option C is correct
The rest of the options are wrong
on a recent hike through riverbend park antoinette traveled 2/3 mile in 1/3 hour . Which unit rate describes antoinettes speed in miles per hour
Answer:
Her speed is of 2 miles per hour.
Step-by-step explanation:
Velocity:
The velocity is given by the following formula:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance and t is the time.
2/3 mile in 1/3 hour .
This means that [tex]d = \frac{2}{3}, t = \frac{1}{3}[/tex]
Which unit rate describes antoinettes speed in miles per hour?
This is v. So
[tex]v = \frac{d}{t} = \frac{\frac{2}{3}}{\frac{1}{3}} = \frac{2}{3}*\frac{3}{1} = 2[/tex]
Her speed is of 2 miles per hour.
I need some help with this
9514 1404 393
Answer:
(a) 216
Step-by-step explanation:
Put 5 where n is in the formula to find the 5th term. Do the arithmetic.
a5 = (5 +1)^3 = 6^3 = 216
The 5th term is 216.
Jax played baseball. His batting average for the season was 0.362. What is his batting average in the expanded form
Answer:
Jax should quit baseball hes bad at it
Step-by-step explanation:
Web Consultants, Inc., pays Alice Rose an annual salary of $56,800. Today, Alice’s boss informs her that she will receive a $7,300 raise. What percent of Alice’s old salary is the $7,300 raise?
Answer: 13%
Step-by-step explanation:
To answer this question we can simply take her raised salary by her old salary...
(Put this into a calculator) 7300/56800=0.13
$7300 is 13% of her old salary
Which expression is equivalent to
(5^-2) (5^-1)?
A. -1/125
B. -1/5
C. 1/125
D. 1/5
Answer:
Step-by-step explanation:
C
My teacher is mean to me I think she hates me can someone help me
Answer:
4=5/6
5=12/12
6=9/10
7=1/2
8=1/5
Step-by-step explanation:
hiii
Answer:
here are some good fraction calculators that could help you!
https://www.fractioncalc.com/https://www.calculatorsoup.com/calculators/math/fractions.phphttps://www.calculator.net/fraction-calculator.htmlHope these help ya :))