Answer:
Step-by-step explanation:
Each question has 4 options with only one correct answer and all other incorrect answers. Student is equally likely to pick any outcome in any given question. Hence, probability of choosing correct answer is 1/4 = 0.25
mark this as brainly pls.....
Answer:
0.25
Step-by-step explanation:
There are 4 answer choices given and only 1 is correct. The other 3 will be incorrect.
To find the probability of getting the right answer, divide the number of correct answers by the total number of answer.
P(correct answer)=correct/total
There is 1 correct answer out of a total of 4 answer.
P(correct answer)=1/4
The question asks us to round to 2 decimal places.
P(correct answer)=0.25
The probability that the student selects the correct answer is 0.25.
Find the equation of the line given
the gradient
Parrallel to the line y= - 2x+4
point ( 1-3)
Answer:
y = -2x - 1
Step-by-step explanation:
Step 1: Find the parallel line
y = -2x + b
Step 2: Solve for b
-3 = -2(1) + b
-3 = -2 + b
b = -1
Step 3: Write parallel equation
y = -2x - 1
There are 7 times as many female students as male students at a university. What fraction of the university are female
Let’s give total students a number. Let’s say there are 800 total students
Men = x
Women = 7x. ( 7 times more)
Together there are 8x students.( 7x + x)
We have 8 x = 800
Divide both sides by 8
X = 100
100 men
700 women
Now find the fraction which is number of women / total students = 700/800 = 7/8
7/8 of the students are women.
Use only the digits 0 - 9 and the decimal and the negative sign, if needed, to fill in the blank. If f(x) = 2x + 9, then f(-1) = _____.
Answer:
7
Step-by-step explanation:
f(x) = 2x + 9
Put x as -1.
f(-1) = 2(-1) + 9
Multiply both terms 2 and -1.
f(-1) = -2 + 9
Add the terms -2 and 9.
f(-1) = 7
Length of Triangles.
Answer:
9
Step-by-step explanation:
Since the scale factor is 12/8 = 1.5, to find LA we have to multiply FI by 1.5 which is 6 * 1.5 = 9.
Question 10 of 32
1 Point
The standard form of the equation of a parabola is
y=1x2 - 4x +21. What is the vertex form of the equation?
O A. y =(x+4)2 +13
O B. y=2(x+4)2 +21
C. y = 2(x-4)2 + 21
D. y = -(x-4)? +13
i thinhk is C DONT NOW
Rata-rata markah matematik untuk Amin, azman dan aziz adalah 73. Tanda Azman lebih 35 berbanding Amin manakala aziz dua kali ganda daripada Amun. Apakah tanda Amin?
Answer:
The Amin's score in math was 46.
Step-by-step explanation:
The question is:
The average math score for Amin, azman and aziz is 73. Azman marks 35 more than Amin while aziz is twice that of Amun. What is Amin's sign?
Solution:
Let us denote that:
x = Amin's score in math
y = Azman's score in math
z = Aziz's score in math.
The average of x, y and z is, 73.
That is:
[tex]\frac{x+y+z}{3}=73\\\\\Rightarrow x+y+z = 219[/tex]
Now it is provided that:
[tex]y=x+35...(i)\\z=2x...(ii)[/tex]
Use the equations (i) and (ii) to determine the value of x as follows:
[tex]x+y+z=219\\\\x+x+35+2x=219\\\\4x=184\\\\x=46[/tex]
Thus, the Amin's score in math was 46.
An anatomy teacher hypothesizes that the final grades in her class are distributed as 10% A's, 23% B's, 45% C's, 14% D's, and 8% F's. At the end of the semester, she has the following grades.
A 6
B 14
C 22
D 8
E 4
Test her claim at 5% significance level.
Answer:
At a plus or minus 5%
Her claim is wrong
Step-by-step explanation:
Ok..
Let's calculate the total amount of result first.
6 +14+22+8+4= 54.
Let's take the percentage of each.
For A
6/54= 0.11
11.1%
11.1%*5%= 10.5
For B
14/54
=0.25925
= 25.9%
25.9%*5%= 24.605
For C
22/54
0.4074
40.7%
40.7*5%= 42.73%
For D
8/54
= 0.148
14.8%
14.8%*5% = 14.06%
For E
4/54
= 0.074
= 7.4%
7.4%*5%=7.77%
But she suggested
10% A's, 23% B's, 45% C's, 14% D's, and 8% F's
If ABCD is a rectangle, and m∠ADB=55°, what is the value of x?
Answer:
x= 70
Step-by-step explanation:
Rectangles have four right angles (angles of 90 degrees).
The point of intersection of the diagonals divides each one of them into two equal parts.
Knowing this, we can conclude that:
m\angle c=m\angle b=55\°
Therefore, since the sum of the interior angles of a triangle is 180 degrees, we can find the value of "x":
x+m\angle c+m\angle b=180\°\\x=180\°-55\°-55\°\\x=70\°
Which of the following equations describes the line shown below? Check all
that apply.
Answer:
Correct options are F and D.
Step-by-step explanation:
First, the slope. 5-(-5)/-4-1
This can be simplified to 10/-5, or -2.
Y intercept: (0, -3).
Slope intercept form: y=-2x-3
Point slope: y-5=-2(x+4) or y+5=-2(x-1)
Greatest common factor of 15c^2 and 25n
Answer: 5
Step-by-step explanation:
The greatest common factor of 15c^2 and 25n is 5 because if you divid the two numbers by 5, they will both be in their primal state.
15c^2 / 5 = 3c^2
25n / 5 = 5n
whats the answers to this ?
Answer:
Hi there!
The correct answers are: A, B, D, E
Step-by-step explanation:
First of all, perpendicular means when two lines intersect to form a 90° angle.
Second ⊥ means perpendicular.
When something is a bisector it means it evenly slices a line in half.
Two random samples were drawn from two employers to obtain information about hourly wages. Use the following information and the PopMeanDiff template to determine if there is a significant difference in wages across the two employers.
Kroger Wal-Mart
Sample size 80 60
Sample mean $6.75 $6.25
Population standard deviation $1.00 $0.95
The p-value is _____.
a. 0.0026
b. 0.0013
c. 0.0084
d. 0.0042
Answer:
a) 0.0026
P- value is 0.0026
Step-by-step explanation:
Step(i):-
Given data
first sample size n₁= 80
mean of the first sample x⁻₁= $6.75
Standard deviation of the first sample (σ₁) = $1.00
second sample size (n₂) = 60
mean of the second sample( x₂⁻) = $6.25
Standard deviation of the second sample (σ₂) = $0.95
step(ii):-
Test statistic
[tex]Z = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{\frac{(S.D)_{1} ^{2} }{n_{1} } +\frac{(S.D)_{2} ^{2} }{n_{2} } } }[/tex]
Null Hypothesis :H₀: There is no significant difference in wages across the two employers.
x⁻₁= x₂⁻
Alternative Hypothesis :H₁: There is significant difference in wages across the two employers.
x⁻₁≠ x₂⁻
[tex]Z = \frac{6.75 -6.25 }{\sqrt{\frac{(1^{2} }{80 } +\frac{((0.95)^{2} }{60} } }[/tex]
Z = 3.01
P- value:-
Given data is two tailed test
The test statistic Z = 3.01
First we have to find the Probability of z-statistic
P(Z>3.01) = 1- P( z <3.01)
= 1- (0.5 + A(3.01)
= 0.5 - A(3.01)
= 0.5 - 0.49865 ( from normal table)
= 0.0013
P(Z>3.125) = 0.0013
Given two tailed test
P- value = 2 × P( Z > 3.01)
= 2 × 0.0013
= 0.0026
Final answer:-
The calculated value Z = 3.125 > 1.96 at 0.05 level of significance
null hypothesis is rejected
Conclusion:-
P- value is 0.0026
7. Evaluate 4P2
O
22
O
12
O
14
5
Answer:
12Step-by-step explanation:
To evaluate 4P2, we will use the permutation formula as shown;
nPr = [tex]\frac{n!}{(n-r)!}[/tex]
4P2 = [tex]\frac{4!}{(4-2!}[/tex]
[tex]= \frac{4!}{2!} \\= \frac{4*3*2!}{2!}\\ = 4*3\\= 12[/tex]
4P2 = 12
is domain of f(x,y) = 1 + (4 -y^2)^1/2 open, closed or neither
is it bounded or unbounded?
Answer:
Closed and Bounded.
Step-by-step explanation:
Hi there!
1) Let's start by finding the values in which the function is defined. Remember that this can be rewritten:
[tex]f(x,y) = 1 + (4 -y^2)^{\frac{1}{2}} \:id\:est\:f(x,y)=1+\sqrt{(4 -y^2)}[/tex]
Since every quadratic root are defined for values [tex]\geq[/tex] 0 then, this help us to understand that we need calculate what interval this Domain is:
[tex]4-y^{2} \geq 0\\4-y^{2}-4\geq -4\\-y^{2}\geq-4 \\y^{2}\leq4\\-2\leq y\leq 2[/tex]
[tex]D=[-2,2][/tex]
2) Graphically speaking, the domain is closed. For the values -2 and 2 are included, and bounded.
Bounded functions have all of their points contained by some circle origin centered. Check it out below.
How to simplify the fraction 4 over 2 8
Answer:
4 over 28 = 1 over 7
Step-by-step explanation:
28 divided by 4 = 7
4 divided by 4 = 1
so 1 over 7
Can someone plz help me solved this problem! I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Hey there! :)
Answer:
a. 3
b. -22
c. -2
d. -2
e. 5a + 8
f. a² + 6a + 3
Step-by-step explanation:
Calculate the answers by substituting the values inside of the parenthesis for 'x':
a. f(1) = 5(1) - 2 = 3
b. f(-4) = 5(-4) - 2 = -22
c. g(-3) = (-3)² + 2(-3) - 5 = 9 - 6 - 5 = -2
d. g(1) = 1² + 2(1) - 5 = 1 + 2 -5 = -2
e. f(a+ 2) = 5(a+2) - 2 = 5a + 10 - 2 = 5a + 8
f. g(a + 2) = (a + 2)² + 2(a + 2) - 5 = a² + 4a + 4 + 2a + 4 - 5 =
a² + 6a + 3
In an inventory of standardized weights, 8% of the weights are found to exceed 10.282 grams and 6% weighs below 9.69 grams. If weight is a continuous random variable distributed normally, find the mean and standard deviation for this distribution.
Step-by-step explanation:
We are given here for the random variable X:
P( X > 10.282) = 0.08 and P(X < 9.69) = 0.06
From standard normal tables, we have:
P(Z < 1.405) = 0.92. Therefore P(Z > 1.405) = 0.08
Therefore, the z score of 10.282 is 1.405
Therefore, Mean + 1.405*Std Dev = 10.282
Also from standard normal tables, we have:
P(Z < -1.555) = 0.06
Therefore, Mean - 1.555×Std Dev = 9.69
Subtracting the second equation from first, we get here:
Std Dev(1.405 + 1.555) = 10.282 - 9.69
Std Dev = 0.2
Now the mean can be computed as:
Mean = 1.555*Std Dev + 9.69 = 1.555*0.2 + 9.69 = 10.001
Therefore 10.001 is the required mean and 0.2 is the required standard deviation for the distribution here.
. Draw a unit circle. A unit circle is a circle whose radius is 1 and whose center is located at the origin of a rectangular coordinate system. On this unit circle let θ be the angle measured from the positive x‐axis to the point P = (x, y). Label the angles 0, 6 , 4 , 3 , 2 , , 2 3 , 2 and the coordinates of the points on the unit circle that correspond to each of these angles. 2. Plot the point 2 3 , 2 1 . How can you check that the point is on the unit circle? (Hint: recall the equation of the unit circle). Plot the points symmetric to it with respect to the y-axis, to the x-axis, and to the origin. Label the coordinates of the points you found. Find positive angles (expressed in radians) which correspond to the points. 3. Explain how symmetry can be used to find the coordinates of points on the unit circle for angles whose terminal sides are in quadrants II, III, and IV. 4. If x, y is a point on the unit circle in quadrant I and if 2 3 x , what is y ? 5. Find two negative and three positive angles, expressed in ra
Answer:
When drawing a rectangle the point of origin is P = xy and the 0 be upon the positive x axis back to P this way we have a rectangle length.
The circle is inscribed in the middle of the rectangle.
Step-by-step explanation:
0,6 as this is 1/6th of circle
9,45 as this is 3/9th of a circle
36, 22.5 as this is 5/10 of a circle
-27, -16.5 as this is 7/10 of a circle
When we join up -27 to 0 with the end line of a rectangle the base, we find it is at point for -16 for y and joined to 6 at y and has formed 10/10 of a circle.
This is not correct but may help as they are in proportion.
Simplify ^36 - ^16 =
Answer:
[tex]x^{36}-x^{16}[/tex] is already at its simplest form
Step-by-step explanation:
You cannot factor or GCF anything out of it, and you cannot just subtract exponents. Therefore, it is simplified already.
What is the explicit formula for this sequence?
-1, -4, -16, -64, ...
Answer:
a, ar, ar²,ar³,ar⁴...
by rounding each number to 1 significant figure, estimate the answer to 23.4 x 13.9 /0.18 Thanks
Answer:
1000
Step-by-step explanation:
23.4 to 1 sf gives 20
13.9 to 1 sf gives 10
0.18 to 1 sf gives 0.2
Therefore it becomes 20 × 10 ÷ 0.2 = 200 ÷ 0.2 = 1000
The area of a square is increasing at a rate of 2 square feet a second. If the square started with an area of 4 square feet, how much time passes before the area of the square equals 16 square feet
Answer:
6 seconds
Step-by-step explanation:
The area of interest increases from 4 square feet to 16 square feet, an increase of 12 square feet. Since the area increases by 2 square feet each second, the time required for it to increase 12 square feet is ...
(12 square feet)/(2 square feet/second) = 6 seconds
The selection of a password of a computer account has the followingrestrictions: The password must be 6, 7, or 8 characters long. A charactercan be lower case letter or a decimal digit. The first character must be alowercase letter. Determine the total number of possible passwords with thegiven restrictions
Answer:
2,095,636,800,000 possible passwords.
Step-by-step explanation:
There are:
26 lower case characters.
10 decimal digits.
Passwords with 6 characters:
The first character must be a lower case letter, so 26 possible outcomes.
Any of the other 6 - 1 = 5, there are 36 possible options. So
[tex]T_{6} = 26*36^{5} = 1572120576[/tex]
Passwords with 7 characters:
Same logic as above, just the last 6 with 36 possible options. So
[tex]T_{7} = 26*36^{6} = 56596340736[/tex]
Passwords with 8 characters:
7 with 36 possible options
[tex]T_{8} = 26*36^{7} = 2037468300000[/tex]
Total:
[tex]T = T_{6} + T_{7} + T_{8} = 1572120576 + 56596340736 + 2037468300000 = 2095636800000[/tex]
2,095,636,800,000 possible passwords.
Please heeeelllllllpppppp
Answer:
point A90°CCWStep-by-step explanation:
a) All of the arcs show point A is the center of rotation.
__
b) The angle marked at point A is 90°.
__
c) The arrows indicate the direction of rotation is counterclockwise.
Please help! The table below shows the elevations of the three animals that Fernanda can see from her boat.
Answer:
Sea Lion, fish, Bird
Step-by-step explanation:
Find the absolute value of the animals, and then compare them from least to greatest
expand and simplify (q-4)(q+3)(3q+5)
Answer:
Step-by-step explanation:
Hi,
[tex](q-4)(q+3)(3q+5)= (q^2+3q-4q-12)(3q+5)\\\\= (q^2-q-12)(3q+5) = 3q^3-3q^2-36q+5q^2-5q-60\\\\= 3q^2+2q^2-41q-60[/tex]
hope this helps
The process used to collect data will __________ of the study.
affect the validity and the bias
affect only the validity
affect only the bias
not affect the validity and the bias
The process used to collect data will affect the validity and the bias of the study.
What is validityThe way data is gathered is very important for making sure a study is accurate and doesn't have any unfair influences. Validity means how well the information collected correctly shows the things the study is trying to find out. If the way data is collected is not done correctly, it can cause incorrect or untrustworthy results, making the study less reliable
Bias means when we make mistakes or go away from the correct value or truth. If the way we collect data is biased, it can lead to unfair outcomes or favor certain groups.
Learn more about validity from
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A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 91.3% for the medical students admitted through special programs. If 10 of the students from the special programs are randomly selected, find the probability that at least 9 of them graduated.
Answer:
[tex]P(X\geq 9)=P(X=9)+P(X=10)[/tex]
And using the probability mass function we got:
[tex]P(X=9)=(10C9)(0.913)^9 (1-0.913)^{10-9}=0.383[/tex]
[tex]P(X=10)=(10C10)(0.913)^{10} (1-0.913)^{10-10}=0.402[/tex]
And replacing we got:
[tex] P(X \geq 9) = 0.383 +0.402= 0.785[/tex]
Step-by-step explanation:
Let X the random variable of interest "number of students graduated", on this case we now that:
[tex]X \sim Binom(n=10, p=0.913)[/tex]
The probability mass function for the Binomial distribution is given as:
[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]
Where (nCx) means combinatory and it's given by this formula:
[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]
We want to find the following probability:
[tex]P(X\geq 9)=P(X=9)+P(X=10)[/tex]
And using the probability mass function we got:
[tex]P(X=9)=(10C9)(0.913)^9 (1-0.913)^{10-9}=0.383[/tex]
[tex]P(X=10)=(10C10)(0.913)^{10} (1-0.913)^{10-10}=0.402[/tex]
And replacing we got:
[tex] P(X \geq 9) = 0.383 +0.402= 0.785[/tex]
Hoping to increase the chances fo reaching a performance goal, the director of a research project has assigned three separate research teams the same task. The director estimates that the team probabilities are 0.90, 0.80, 0.70 for successfully completing the task in the allotted time. Assuming that the teams work independently, what is the probability that the task will NOT be completed in time
Answer:
P = 0.006
Step-by-step explanation:
If the first team have a probability of 0.9 to complete the task, we can said that the probability to not complete the task in time is 0.1. It is calculated as:
1 - 0.90 = 0.1
At the same way, the probability to not complete the task for the second and third team are 0.2 and 0.3 respectively and they are calculated as:
1 - 0.80 = 0.2
1 - 0.70 = 0.3
Finally, the the probability that the task will NOT be completed in time is the probability that any of the teams completed the task. So, it is equal to:
P = 0.1 * 0.2 * 0.3 = 0.006
Parallelogram L M N O is shown. Angle L is (2 x + 10) degrees and angle O is (x + 20) degrees.
In parallelogram LMNO, what is the measure of angle N?
50°
70°
110°
130°
Answer:
110°
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary:
∠L +∠O = 180°
(2x +10) +(x +20) = 180
3x = 150 . . . . . . . . . . . . . subtract 30
x = 50
Then ...
∠L = (2x +10)° = (2·50 +10)° = 110°
Opposite angles in a parallelogram are congruent, so ...
∠N = ∠L = 110°
The measure of ∠N in parallelogram LMNO is 110°.
What is a parallelogram?
A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel.
In parallelogram LMNO:
∠L + ∠O = 180° (corresponding angles add up to 180°)
Hence:
(2x + 10) + (x + 20) = 180
x = 50°
∠N = ∠O (opposite angles are equal)
∠N = 2(50) + 10 = 110°
The measure of ∠N in parallelogram LMNO is 110°.
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