Answer:
65 candidates.
Step-by-step explanation:
From the above question, we have the following information
Total number of graduate students = n(B ∪ MP ∪ MC)
200 students
Number of students with bicycle = n(B) = 110
Number of students with MasterCard = n(MC) = 25
Number of students with Mobile phone = n(MP) = 130
Number of students with both bicycle and Master card = n ( B ∩ MC) = 50
Number of students with both Mastercard and Mobile phone = n ( MC ∩ MP) = 30
Number of students with both Bicycle and Mobile phone = n ( B ∩ MP) = 60
Number of students that had all three =
n ( B ∩ MP ∩ MC) = 10
Number of candidates that had none of the three = ( None of B ∩ MP ∩ MC)
Since this is a three element set, the formula is given as:
n(B ∪ MP ∪ MC) = n(B) + n ( MP) + n (MC) - n ( B ∩ MP) - n ( B ∩ MC) - n ( MC ∩ MP) + n (B ∩ MP ∩ MC) + ( None of B ∩ MP ∩ MC)
n(B ∪ MP ∪ MC) - ( None of B ∩ MP ∩ MC) = n(B) + n ( MP) + n (MC) - n ( B ∩ MP) - n ( B ∩ MC) - n ( MC ∩ MP) + n (B ∩ MP ∩ MC)
200 - ( None of B ∩ MP ∩ MC) = 110 + 25 + 130 - 60 - 50 -30 + 10
200 - ( None of B ∩ MP ∩ MC) = 110 + 25 + 130 + 10 - 60 - 50 - 30
= 200 - ( None of B ∩ MP ∩ MC) = 275 - 140
= 200 - ( None of B ∩ MP ∩ MC) = 135
( None of B ∩ MP ∩ MC) = 200 - 135
( None of B ∩ MP ∩ MC) = 65
Therefore, 65 candidates had none of the three
Can someone help me QUICK lol sorry!! B is the midpoint of AC. If AB=8x+2, and BC = 4x+18. Find AC
Answer:
AC = 12x + 20
Step-by-step explanation:
Combine the terms:
AB + BC = AC
AB = 8x + 2
BC = 4x + 18
Plug in the corresponding terms to the corresponding variables:
(8x + 2) + (4x + 18) = AC
AC = 8x + 4x + 18 + 2
AC = 12x + 20
12x + 20 is your answer for AC.
~
Answer:
68
Step-by-step explanation:
8x+2=4x+18
8x-4x=18-2
4x=16
x=4
Now we substitute it back in:
8(4)+2+4(4)+18-
32+2+16+18=
68
In a study of 30 high school students, researchers found a high correlation, 0.93, between amount of exercise and weight lost. Which of the following statements is TRUE? The researchers proved that exercise causes weight loss, but only for high school students. There is a strong positive linear association between weight loss and exercise, but the researchers have not proven causation. The researchers proved that exercise causes weight loss. 93% of the high school students studied lost weight.
Answer:
Option A is true
The researchers proved that exercise causes weight loss only for high school students.
Step-by-step explanation:
We are told that the researchers found a high correlation, 0.93, between amount of exercise and weight lost.
Now, looking at each of the options;
- A is True because due to the high correlation, the research proves that exercise causes weight loss but only for high school students.
- B is not true because we are told the correlation is very high at 0.93. Thus, it is untrue that there is no proven causation.
-C is not true because there's no where that the researchers have completely proved that exercise causes weight loss generally. It is only peculiar to the high school students studied.
-D is not true because the 93% is just a correlation and not a percentage of those who lost weight
Answer:
There is a strong positive linear association between weight loss and exercise, but the researchers have not proven causation
Step-by-step explanation:
Recall that correlation measures the strength and direction of linear association. So r= 0.93 indicates a strong positive linear association. Recall also, that correlation doesn't imply causation. Causation is a direct change in one variable causing a change in some outcome.
4) A bay contains 18 balls out of which ac balls
are white :
one ball is drawn at random
what is the probability that it is white
ii) at two more white balls are put in the
bag
the probability of craving a white ball
& times than that it was before. Find a
Answer:
find a what?because it dont tell us what to find
In a study of red/green color blindness. 1000 men and 2800 women are randomly selected and tested Among the men. 85 have red/green color blindness. Among the women, 6 have red/green color blindness.1. Test the claim that men have a higher rate of red/green color blindness- The test statistic is _____- The P-Value is _____- Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women using the 0.05% significance level?A. Yes.B. No.2. Construct the 95% confidence interval for the difference between the color blindness rates of men and women_____ <(P1âP2)<_____
Answer:
1. Yes, there is sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women.
2. The 95% confidence interval for the difference between the color blindness rates of men and women is [0.0656, 0.1004].
Step-by-step explanation:
We are given that in a study of red/green color blindness. 1000 men and 2800 women are randomly selected and tested
Among the men, 85 have red/green color blindness. Among the women, 6 have red/green color blindness.
Let [tex]p_1[/tex] = population proportion of men having red/green color blindness.
[tex]p_2[/tex] = population proportion of women having red/green color blindness.
So, Null Hypothesis, : {means that men have a lesser or equal rate of red/green color blindness than women}
Alternate Hypothesis, : {means that men have a higher rate of red/green color blindness than women}
(1) The test statistics that will be used here is Two-sample z-test statistics for proportions;
T.S. = ~
N(0,1)
where, = sample proportion of men having red/green color blindness = = 0.085
[tex]\hat p_2[/tex] = sample proportion of women having red/green color blindness = [tex]\frac{6}{2800}[/tex] = 0.002
[tex]n_1[/tex] = sample of men = 1000
[tex]n_2[/tex] = sample of women = 2800
So, the test statistics = [tex]\frac{(0.085-0.002)-(0)}{\sqrt{\frac{0.085(1-0.085)}{1000}+\frac{0.002(1-0.002)}{2800} } }[/tex]
= 9.37
The value of z-test statistics is 9.37.
Also, the P-value of the test statistics is given by;
P-value = P(Z > 9.37) = Less than 0.0001
Since the P-value of our test statistics is less than the level of significance as 0.0001 < 0.05%, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Therefore, we support the claim that men have a higher rate of red/green color blindness than women.
(2) The 95% confidence interval for the difference between the color blindness rates of men and women ([tex]p_1-p_2[/tex]) is given by;
95% C.I. for ([tex]p_1-p_2[/tex]) = [tex](\hat p_1-\hat p_2) \pm Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} }[/tex]
= [tex](0.085-0.002) \pm (1.96 \times \sqrt{\frac{0.085(1-0.085)}{1000}+\frac{0.002(1- 0.002)}{2800} } )[/tex]
= [tex]0.083 \pm0.0174[/tex]
= [0.0656, 0.1004]
Here, the crtical value of z at 2.5% level of significance is 1.96.
Hence, the 95% confidence interval for the difference between the color blindness rates of men and women is [0.0656, 0.1004].
What is an equation of the line that passes through the points (5,-2) and (2, -5)?
Put your answer in fully reduced form.
Answer:
it would be -4
Step-by-step explanation:
because a positive and negative 5 cancel each other out.
and a negative 2 plus a positive 2 is a negative 4.
Starbucks repurchased over $7,208.7 million of its common stock in 2018. Did this repurchase increase or decrease Starbucks’ ROE?
Evaluate
Algebraic
Expressions
A large waffle cone costs $2.06 dollars more than a
sugar cone. The sugar cone is 1.56.
What is the cost of the waffle cone?
Answer:
The waffle cone is $3.62.
First, say what your variables are.
w = large waffle cone
s = sugar cone
Next, create two equations given the data in the word problem.
[tex]2.06 + s = w[/tex]
[tex]s = 1.56[/tex]
Because you have what the sugar cone is valued at, replace the s in the first equation with 1.56 and solve.
[tex]2.06 + (1.56) = w[/tex]
[tex]w = 3.62[/tex]
is 289 a prime number
Answer:
No
Step-by-step explanation:
Factors of 289 are = 1, 7, 289
answer
no
explanation
the factor of 289= 1 , 17
Write the set of all real numbers greater than 19 and less than 32 in set-builder notation.
The set-builder notation is {x|
Answer: {xI x ∈ R, 19 < x < 32}
Step-by-step explanation:
This notation is:
{xI condition1, condition2, ...}
The first condition is:
From what set we take the values of x?
From the set of real numbers.
x ∈ R
The other conditions are the limitations that we have for x, in this case:
19 < x < 32
Then we can write this as:
{xI x ∈ R, 19 < x < 32}
Which of the following relations represent a function? A. {(-1,-1),(0,0),(2,2),(5,5)}. B. None of these. C. {(0,3),(0,-3),(-3,0),(3,0). D. {(-2,4),(-1,0),(-2,0),(2,6)
Answer:
A
Step-by-step explanation:
In a list of ordered pairs, a relation that is a function will not have any repeated x-values.
A -- a function (x-values are {-1, 0, 2, 5} with no repeats)
B -- irrelevant
C -- not a function (x-values are {0, 0, -3, 3} with 0 being repeated)
D -- not a function (x-values are {-2, -1, -2, 2} with -2 being repeated)
A........ divides a two - dimensional shape into two congruent shapes
Answer:
A diagonal. (A rectangle is divided into two triangles by a diagonal, for example.)
The diagonal of a triangle divides a two dimentional shape into two congruent shapes.
The congruent shapes are equally the same
Which expression represents the phrase "5 less than a number"? Question 3 options: n 5
A linear trend equation is used to represent time series values when the data are changing by equal what? a. proportions b. amounts c. percentsd. percents and proportions
Answer: Amounts
Step-by-step explanation:
Time series analysis are the method which are used by researchers to analyze the time series data so as to get the features of the data and to also derive meaningful statistics.
A linear trend equation is used to represent time series values when the data are changing by equal amounts.
this is rlly easy im just hella lazy and i dont wanna answer it- pls help tyyy
Answer:
d.
Step-by-step explanation:
the other ones are adding and the 3 is obviously being subtracted.
What is a key distinction between parametric tests and nonparametric tests in terms of scales of measurement
Answer:
Parametric tests are used for interval and ratio data and Non parametric tests are used for ordinal and nominal data.
Step-by-step explanation:
Parametric tests are used for interval and ratio data and Non parametric tests are used for ordinal and nominal data.
The interval data shows data with differences or intervals.
The ratio data is the one in which statistical inferences is used and can be added ,subtracted , multiplied, or divided.
Ordinal data is one in which we measure quantitative data such as height , weight but is in order.
Nominal data is one in which we measure quantitative data such as hair color eye color without order or which does not require order or sequence.
A standard number cube is rolled. Calculate: P(rolling a 5)
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Total no. of outcomes = 1,2,3,4,5,6
No. of times 5 is on the cube =1
Therefore, probability of getting a 5 = [tex]\frac{1}{6}[/tex]
Two integers are relatively _________ if and only if their only common positive integer factor is 1.
Answer:
Two integers are relatively primes if and only if their only common positive integer factor is 1.
Step-by-step explanation:
The prime number is one whose only divisor is 1 and itself.
The prime factors of a whole number are the exact prime divisors of that whole number. In other words, every composite number can be written as a multiplication of two or more prime factors.
So, two integers are relative primes if they have no prime factor in common, or, put another way, if they have no common divisor other than 1.
So, two integers are relatively primes if and only if their only common positive integer factor is 1.
Someone, please help me with this.
Answer:
x = 14
Step-by-step explanation:
To solve this problem, we must remember that the addition of two angles that create a straight line should have a sum of 180 degrees.
From this information, we can create the following equation.
(7x - 1) + (6x - 1) = 180
Eliminating the parentheses and grouping like terms gives us:
(7x + 6x) + (-1 + -1) = 180
Simplifying inside the parentheses on the left side produces:
13x - 2 = 180
Next, we should add 2 to both sides to isolate the variable term:
13x = 182
Finally, we should divide by 13 to get the x by itself on the left side of the equation:
13x/13 = 182/13
x = 14
Therefore, the answer to your question is x = 14.
Hope this helps!
Answer:
x = 14
Hope it helps u
plz mark it as brainlist
If g(x)=a x f(x+b) how is f(x) transformed to get g(x)
Answer:
a: -2f(x+4)
Step-by-step explanation:
Took the quiz, got 100%.
The function f(x) = ∛x is transformed to obtain g(x) = -2f(x + 4). Option A is correct.
The function f(x) = ∛x is shifted horizontally to the left by 4 units.
This means that every point on the graph of f(x) is moved 4 units to the left.
After the horizontal shift, the function is reflected vertically and stretched vertically by a factor of 2.
The reflection indicates that the graph is flipped upside down, and the stretching means that the graph is elongated vertically by a factor of 2.
By applying these transformations to the function f(x) = ∛x, we obtain the function g(x) = -2f(x + 4).
The negative sign indicates the vertical reflection, and the factor of 2 represents the vertical stretching.
The horizontal shift of 4 units is applied to the argument of the function, which is (x + 4)
To learn more on Graph transformations click:
https://brainly.com/question/19040905
#SPJ2
A fisherman leaves his home port and heads in the direction N 70 ° W. He travels d1 = 40 mi and reaches Egg Island. The next day he sails N 10 ° E for d2 = 65 mi, reaching Forrest Island.
(a) Find the distance between the fisherman's home port and Forrest Island. (Round your answer to two decimal places.)
(b) Find the bearing from Forrest Island back to his home port. (Round your answer to one decimal place.)
S ° E
Answer:
A)82.02 mi
B) 18.7° SE
Step-by-step explanation:
From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.
A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;
a² = b² + c² - 2bc Cos A
Thus, let the distance between the home port and forrest island be x.
So,
x² = 40² + 65² - 2(40 × 65)cos 100
x² = 1600 + 4225 - (2 × 2600 × -0.1736)
x² = 6727.72
x = √6727.72
x = 82.02 mi
B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;
A/sinA = b/sinB = c/sinC
82.02/sin 100 = 40/sinθ
Cross multiply to get;
sinθ = (40 × sin 100)/82.02
sin θ = 0.4803
θ = sin^(-1) 0.4803
θ = 28.7°
From the diagram we can see that from parallel angles, 10° is part of the total angle θ.
Thus, the bearing from Forrest Island back to his home port is;
28.7 - 10 = 18.7° SE
-3|2•8-4•5|+(16-7)/3
Answer:
-9
Step-by-step explanation:
-3|16-20|+9/3
-3|-4|+3
-3*4+3
-12+3
-9
15 points?
Solve for A
5/A = P
A = ????
That’s all it says
Please state what A is.
Answer:
A = 5 / P
Step-by-step explanation:
5 / A = P
A = 5 / P
Plz help (URGENT) The data shows the number of bacteria in a culture after a given number of hours. Based on the data, which is closest to the number of hours it takes the culture to reach 12,000 bacteria? A) 16 hours B) 19 hours C) 22 hours D) 25 hours Hour Bacteria 1 2,215 2 2,235 3 2,360 4 2,680 5 3,075
Answer:
The number of hours it takes the culture to reach 12,000 bacteria is 41 hours.
Step-by-step explanation:
To predict the number of hours it takes to culture a certain number of bacteria form a regression equation of number of hours (y) based on the number of bacteria (x) using the provided data.
The general form of the regression equation is:
[tex]y=a+bx[/tex]
Compute the values of a and b as follows:
[tex]a=\frac{\sum Y\cdot \sum X^{2}-\sumX\sum XY}{n\cdot\sum X^{2}-(\sum X)^{2}}=\frac{15\cdot 32109075-12565\cdot39860}{5\cdot 32109075-(12565)^{2}}=-7.203\\\\b=\frac{n\cdot \sum XY-\sumX\sum Y}{n\cdot\sum X^{2}-(\sum X)^{2}}=\frac{5\cdot 39860-12565\cdot15}{5\cdot 32109075-(12565)^{2}}=0.004[/tex]
*Use the Excel data sheet attached.
The regression equation of number of hours based on the number of bacteria is:
[tex]y=-7.203+0.004x[/tex]
Compute the number of hours it takes the culture to reach 12,000 bacteria as follows:
[tex]y=-7.203+0.004x[/tex]
[tex]=-7.203+(0.004\times12000)\\=-7.203+48\\=40.797\\\approx 41[/tex]
Thus, the number of hours it takes the culture to reach 12,000 bacteria is 41 hours.
Sample size is not an important consideration when planning research and evaluations.
True
False
Answer:
false... the person said i wasnt sure so i had to put a solid answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
False. Sample size has direct bearing on the size of the confidence interval being calculated.
Please help Simplify (3^6)^18
Answer:
when we put an exponent on a number which already has an exponent, the exponents are multiplied
we have: [tex]3^{6^{18} }[/tex]
= [tex]3^{108}[/tex]
(3)^6×18
(3)^108
now if you want to further simplify it then just simply calculate 3^108 on the calculator
to make it clear (3^6)^18 and 3^6^8 are two different situations
in the first one the power will be multiplied by the second power
and in the second one 6 will be multiplied by itself 8 times
given log6=0.778,find log36.
Answer:
We know that
1 ) log a^n = n log a
Now ,
log 6 = 0.7782 ----( 1 )
log 36 = log 6²
= 2 log 6
= 2 × 0.7782
= 1.5564
How do I solve a mathematics problem that is too complex for me to solve?
Answer:
First, you should read that statement many time and just try to learn the concepts of that chapter and look at your examples you will find something same as your questions. Then if you cannot solve that question ask your elder to understand. After understanding that question do that question 4 to 5 times then you will understand that question easily..
Hope you like it please thank me or mark it as a brainliest answer.....
Answer:
If you really can't solve it and you have no idea what the question is talking about, ask someone for help. For example, your teacher or your friends.
You can literally post your question on Brainly for us to answer if we can. That is the purpose of Brainly. Even if it is a really complex and hard question, you should still take the chance of posting it since there are like millions of people using Brainly and this will make it much more easier to find someone to help you.
Round 3.802 to the nearest tenth.
Answer:
3.8
Step-by-step explanation:
.8 is in the tenths
pt 2 5-7 please helpp
Answer:
x = 12
Step-by-step explanation:
__9x__ = __108___
9 9
x = 12
Hi there! Hopefully this helps!
------------------------------------------------------------------------------------------
Answer: x = 12.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]9x = 108[/tex]
Divide both sides by 9.
[tex]\frac{108}{9}[/tex]
Divide 108 by 9 to get, you guessed it, 12!Which symbol is needed between -2? |-3| to make a true statement? PLS HELP
60 points!!!!!!!!!!!!!!!
A. <
B. >
C. =
Answer:
[tex]\Huge \boxed{<}[/tex]
Step-by-step explanation:
-2 ? |-3|
Solve for absolute value.
Apply rule : |-a| = a
|-3| = 3
-2 ? 3
-2 is less than 3.
The less than symbol is “<”.
-2 < 3