Solve the quadratic equation: 3x^2-2=25
The question is given as :
\(3x^2-2=25\)collect like terms as;
\(3x^2=25+2\)\(3x^2=27\)Divide both sides by 3 as
\(x^2=\frac{27}{3}\)\(\begin{gathered} x=\sqrt[\square]{9} \\ \end{gathered}\)\(x=3\)For each​ situation, identify the sample size​ n, the probability of a success​ p, and the number of successes x. When asked for the​ probability, state the answer in the form​ b(n,p,x). There is no need to give the numerical value of the probability. Assume the conditions for a binomial experiment are satisfied. Complete parts​ (a) and​ (b) below.
Required:
a. A 2017 poll found that 53% of college students were very confident that their major will lead to a good job. If 30 college students are chosen at random, what's the probability that 14 of them were very confident their major would lead to a good job?
b. A 2017 poll found that 53% of college students were very confident that their major will lead to a good job. If 30 college students are chosen at random, what's the probability that 10 of them are NOT confident that their major would lead to a good job?
Answer:
a) 0.1138 = 11.38% probability that 14 of them were very confident their major would lead to a good job
b) 0.0483 = 4.83% probability that 10 of them are NOT confident that their major would lead to a good job
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
a. A 2017 poll found that 53% of college students were very confident that their major will lead to a good job. If 30 college students are chosen at random, what's the probability that 14 of them were very confident their major would lead to a good job?
Here, we have that \(p = 0.53, n = 30\), and we want to find \(P(X = 14)\). So
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 14) = C_{30,14}.(0.53)^{14}.(0.47)^{16} = 0.1138\)
0.1138 = 11.38% probability that 14 of them were very confident their major would lead to a good job.
b. A 2017 poll found that 53% of college students were very confident that their major will lead to a good job. If 30 college students are chosen at random, what's the probability that 10 of them are NOT confident that their major would lead to a good job?
10 not confident, so 30 - 10 = 20 confident. This is P(X = 20).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 20) = C_{30,20}.(0.53)^{20}.(0.47)^{10} = 0.0483\)
0.0483 = 4.83% probability that 10 of them are NOT confident that their major would lead to a good job
Write 83 1/3% as a fraction and as a decimal.
The Solution:
Given the percent below:
\(83\frac{1}{3}\text{\%}\)We are asked to write the given percent as a fraction or as a decimal.
Step 1:
We shall convert the given percent to an improper fraction.
\(83\frac{1}{3}\text{\%}=\frac{250}{3}\text{ \%}\)We shall remove the percent sign and divide by 100.
\(\frac{250}{3}\times\frac{1}{100}=\frac{25}{30}=\frac{5}{6}\text{ ( or 0.83333333333)}\)Therefore, the correct answer is 5/6 or 0.833
Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 3 and a horizontal side of 7. The other triangle has a vertical side of 9 and a horizontal side of 21. Could the hypotenuses of these two triangles lie along the same line? Yes, because they are both right triangles Yes, because they are similar triangles No, because they are not similar triangles No, because one is larger than the other PLSSSSSS HELP WILL GIVE BRAINLIEST ASAP
Skylar went shopping for a new video game. To find the total plus tax, she multiplied the price of the video game by 1.0775. What percent tax did she pay?
Answer:A topic sentence is used to bring
to a paragraph.
Step-by-step explanation:
A topic sentence is used to bring
to a paragraph.
15. Which of the following is an equation for the line that passes through
(-4,-3) and (-2, 3)?
Answer:
An equation for the question above is y = 3x + 9.
PLEASE HELP WILL MARK BRAINLIEST!!!
Which fraction has a value that's equal to 3/4?
A. 12/12
B.4/3
C. 12/16
D. 9/16
Answer:
C. 12/16
Step-by-step explanation:
If you multiply both the numerator AND the denominator by four you end up with the equivalent fraction of 12/16.
PLEASE SHOW YOUR WORK ON HOW TO SOLVE THIS PROBLEM!! BEST ANSWER ILL GET MARKED BRAINIEST!
4x+5/x+7
Answer:
x = 2.4
Step-by-step explanation:
4x + 5 / x + 7
combine like terms
X + 4x = 5x
5 + 7= 12
12/ 5x
Divide
12 /5= 2.4
X= 2.4
2 QUESTIONS!
When a number is decreased by 10% of itself, the result is 27. What is the number?
Write an equation to model the problem. Use a to represent the number.
Answer:
Solve the equation to find the number:
Answer:
Answer:
30
Step-by-step explanation:
The equation will be:
x - (10% of x) = 27
x - 0.1x = 30
0.9x = 30
Divide by 0.9
x = 30
The number is 30
Second question:
Length = 2x - 3
Width = x
Perimeter = 72
Perimeter = 2(l + w)
= 2(2x - 3 + x) = 72
4x - 6 + 2x = 72
6x = 72 + 6
6x = 78
w = 78/6 = 13
The width is 13 meters
There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores
were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores?
O 79%
O 82%
O 87%
O 92%
Answer:
A
Step-by-step explanation:
EDGE 2021
The median math score of the sophomores is,
⇒ Me = 79
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Number of sophomores = 8
And, Scores are as follows :
82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%
Now, To Find :
Median of 8 sophomores as;
First we arrange in ascending order :
72%, 74%, 76%,78%, 80%, 82%, 92%, 92%
Here, N = 8 which is an even number
Now we will apply the formula of median of even number :
As we know that;
Me = (N/2 + N/2 + 1) / 2
Me = (8th / 2 + 8th / 2 + 1) / 2
Me = (4th + 5th) / 2
Me = (78 + 80) / 2
Me = 79
Thus, The median math score of the sophomores is,
⇒ Me = 79
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ7
A line with a slip of -1/10 passes through the point -10 , -4 what is the equation in slope interception
Answer:
y=-1/10x-5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=-1/10(x-(-10))
y+4=-1/10(x+10)
y=-1/10x-10/10-4
y=-1/10x-1-4
y=-1/10x-5
What is 39% of 921?
Btw good morning to everybody!
Answer:
359.19 And good morning to you
Step-by-step explanation:
Answer:
359.19 is the 39% of 921
good afternoon to you
If angle M is represented by x + 16 and angle G is represented by
X – 40, and angles M and G are complementary, what is the
measure of angle M?
Answer:
the measure of angle M is 73 degrees
Step-by-step explanation:
the sum of complementary angles is 90 degrees. so set up the equation as:
x+16+x-40=90
combine like terms and you get:
2x-24=90
add 24 on both sides and you get:
2x=114
divide by 2 on both sides to isolate x and you get:
x=57
since the equation for angle M is x+16, you substitute 57 for x and you get:
M=57+16
M=73
Triangle RST is similar to triangle UVW. Find the measure of side UV. Figures are not drawn to scale
The triangle has 3 interior angles and 3 sides, the sum of interior angles is always equal to 180 degree. The measure of the side UV of a triangle is 4.2
Types of triangleon considering the length of the sides, the triangle is classified into different types
Acute triangle :All three angles of an acute triangle measure less than 90".Obtuse Triangle :One angle of an obtuse triangle measures more than 90%Right Triangle: One angle of a right triangle measures 90°Isosceles Triangle: two sides of an isosceles triangle have the same lengthEquilateral Triangle: All three sides of an equilateral triangle have the same lengthScalene Triangle: No sides of a scalene triangle are the same length.the sum of the interior angles of a triangle is always equal to 180°
given TR=2,WU=6,RS=1.4,UV=?
let UV be x,
x/1.4=6/2
cross multiply
2x=6*1.4
2x=8.4
x=8.4/2
x=4.2
hence UV=4.2
To know more on triangle angles visit:
brainly.com/question/15161714
#SPJ1
Wesley willed his estate to Margaret,
no b Betty Jo, and Johnny. He gave Margaret
$20,000. Betty Jo got 22 times as much as
Margaret. Johnny got 32 times as much
as Margaret. What was the total value of
the estate?
Answer:
1,100,000
Step-by-step explanation:
20000 + 22(20000) + 32 (20000)= 55 (20000)= 1,100,000
Answer:
1,100,000
Step-by-step explanation:
Hannah makes 5 out of 8 attempted free-throws! What is the average waiting time for Hannah to make her first basket, and what is the probability that she will make a basket on or before her last attempt within her average waiting time?
The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8
How can we interpret probability?Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;
Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);
When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;
Given:
Hannah makes 5 out of 8 attempted free-throws.
Now,
The average waiting time of hannah to make her first basket is 5/8
The probability of hannah making basket at her last attempt is 1/8
The probability of hannah making basket before her last attempt is 2/8
Hence, the probabilty will be 1/8 and 2/8;
Learn more about interpretation of probability here;
https://brainly.com/question/23024246
#SPJ1
Last week, a chocolate shop sold 9 ounces of white chocolate. It sold 9 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
please answer asap
Solving the Question
We're given:
9 ounces of white chocolate sold\(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate soldIf the shop sold " \(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.
Multiply \(9\dfrac{9}{10}\) by 9 ounces:
\(9\dfrac{9}{10}\times9\)
Convert the fraction into an improper fraction:
\(=\dfrac{99}{10}\times9\)
Multiply:
\(=\dfrac{891}{10}\)
AnswerThe shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.
can someone help me i will mark brainlist
Answer:
Least TO Greatest
2 3/10, [-4], [-6], [8], [12.3], [-20]
Step-by-step explanation:
Hope this helps!
The average monthly income of three persons is rs. 3,600. If the income of the first is 1/5 of the combined income of the other two then his monthly income is
The monthly income of the first person is $600.
Given that, the average monthly income of three persons is RS 3,600.
The income of the first is 1/5 of the combined income of the other two.
Here, Let income of the first be A, let income of the second be B and let Income of the third be C.
A+B+C=3600 -----(i)
Income for the first person = 1/5(B+C) -----(ii)
Substitute equation (ii) in equation (i), we get
(B+C)/5 +B+C =3600
B+C+5B+5C=3600×5
6B+6C=18000
6(B+C)=18000
B+C=3000 ------(iii)
Substitute (iii) in equation (i), we get
A=$600
Therefore, the monthly income of the first person is $600.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ1
The product of two consecutive integers is 110. Find the integers. Note: There are two sets of answers. The first set contains only positive answers and the second one contains only negative answers. Provide the answers in ascending order (smaller numbers first, greater numbers second)
Answer:
10 and 11
or
-11 and -10
Step-by-step explanation:
Molly went to play miniature golf on Monday, when it cost $7 to rent the club and ball, plus $1 per game. Sharon went Thursday, paying $2 per game, plus rental fees of $4. By coincidence, they played the same number of games for the same total cost. How much did each one spend?
Answer:
Molly played 4 games
What is the perimeter, in units, of ΔABC Δ A B C with A(−1,−6) A B(7,−6), and C(3,−3)
Answer:
the perimeter in unites of abc with 3, -3 is a
Answer:
18 Units
Step-by-step explanation:
According to the calculator
Convert 0.0855 to a fraction. Move numbers to the blanks to complete the fraction.
Answer:
a
Step-by-step explanation:
no
Answer:
decimal fraction percent
0.0855 171/2000 8.55%
Step-by-step explanation:
What are the factors of the polynomials shown below?2x2 + 9x - 35O (2x - 5)(x + 9)(2x - 5)(x + 7)(3x-2)(x + 7)(2x - 3)(3x + 35)
P(x) =2x^2 + 9x - 35
Then find numbers a,b such that
a•b = -35
Theres only one option ,that have this result
(2x - 5) • (x + 7) = 2x^2 + (14x - 5x) - 35
Then
A family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is taking longer than before to sell a house. The wife is concerned and wants to know when it is optimal to put their house on the market. Her realtor friend informs them that the last 22 houses that sold in their neighborhood took an average time of 190 days to sell. The realtor also tell them that based on her prior experience, the population standard deviation is 72 days. Assume the number of days to sell a house has a normal distribution Find the lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood.
Answer:
The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 days.
Step-by-step explanation:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.95}{2} = 0.025\)
Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).
That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.
Now, find the margin of error M as such
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.
\(M = 1.96\frac{72}{\sqrt{22}} = 30\)
The lower end of the interval is the sample mean subtracted by M. So it is 190 - 30 = 160 days
The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 days.
PLEASE HELP I WILL GIVE BRAINLIEST!!!
Solve for x: 5x + 15 = 28 (5 points)
forty-three over five
thirteen over five
13
43
Answer:
x=3
or 13/5
Step-by-step explanation:
5x+15=28 (-15)
5x=13 (/5)
x=3
Graciela begins the month with $300 and is spending $20 per
week. Her brother Sergio begins the month with $150 and is saving $10 per week. Sergio wants to know when they will have the same amount of money.
W
Let represent the number of weeks since the beginning of the
month. Which equation represents this situation?
Answer:
300-20w=?
150+10w=?
Step-by-step explanation:
Answer:
Step-by-step explanation:
320
What is the area, in square meters, of the figure below?
image 38818c4f95f746c7ac661469284baba9
Answer:
ujjjhhhggokkkkbfdxfghhhhbb
A right triangle has one angle that measures 24°. What is the measure of the other acute angle?
Answer:
The measure of the other angle is 66°.
Step-by-step explanation:
Given that the total angles in a triangle is 180° so in order to find the other angles, you have to subtract :
90° + 24° + θ = 360°
114° + θ = 180°
θ = 66°
100 Points
What is the value of the logarithmic or exponential expression?
Select True or False for each statement
Answer:
True, False, False-------------------------------------------
Let's simplify left sides of each statement and compare with right sides:
\(3^{5log_32}=3^{log_32^5}=3^{log_332}=32 \implies True\)\(2 ln\ e^{1/4}=2*1/4*ln\ e^{}=2*1/4*1=1/2\implies False\)\(e^{2ln e-1}=e^{2*1-1}=e^{2-1}=e^1=e \implies False\)