1. If only one event may occur on any one trial, then events are said to be
a, independent. b. exhaustive. C.mutually exclusive. d. continuous.
Answer:
Mutually exclusive
Step-by-step explanation:
Mutually exclusive events exist if only one of the events can occur on any one trial.
Events are considered to be mutually exclusive if only one of them can occur on any given trial.
So, option c. mutually exclusive is correct.
Define event.An event is a defined collection of outcomes of a random experiment in probability theory. Because the sample space is the collection of all possible outcomes to a random experiment, another definition of event is any subset of a sample space.
If two events cannot occur at the same moment, they are mutually exclusive or discontinuous.
Events are considered to be mutually exclusive if only one of them can occur on any given trial. So, option c. mutually exclusive is correct.
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For a study of adolescents' disclosure of their dating and romantic relationships, a sample of 224 high school students was surveyed. One of the variables of interest was the level of disclosure to an adolescent's mother (measured on a 5-point scale, where 1 = "never tell" and 5 ="always tell"). The sampled high school students had a mean disclosure score of 3.38 and a standard deviation of 0.98. The researchers hypothesize that the true mean disclosure score of all adolescents will exceed 3. Do you believe the researchers?
Conduct a formal test of hypothesis using α = 0.05. Set
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There sufficient evidence that the true mean disclosure score of all adolescents will exceed 3
Step-by-step explanation:
From the question we are told that
The sample is n = 224
The sample mean is [tex]\= x = 3.38[/tex]
The standard deviation is [tex]s = 0.98[/tex]
The population mean is [tex]\mu = 3[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 3[/tex]
The alternative hypothesis is [tex]H_a : \mu > 3[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{s}{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{ 3.38 - 3 }{ \frac{0.98 }{ \sqrt{224} } }[/tex]
=> [tex]z = 5.80[/tex]
From the z table the area under the normal curve to the right corresponding to 5.80 is
[tex]p-value = 0[/tex]
From the value obtained we that [tex]p-value < \alpha[/tex] , hence
The decision rule is
Reject the null hypothesis
The conclusion is
There sufficient evidence that the true mean disclosure score of all adolescents will exceed 3
What is the y-intercept of the following equation?
- 3y + x = 18
(12 points)
Answer:
(0, -10/3)
the -10 is over the 3 in the form of a fraction
Sum of the Interior angles of a 32-gon
Answer: 5,400 degrees
Step-by-step explanation:
Answer:
In geometry, a triacontadigon (or triacontakaidigon) or 32-gon is a thirty-two-sided polygon. In Greek, the prefix triaconta- means 30 and di- means 2. The sum of any triacontadigon's interior angles is 5400 degrees.
Internal angle (degrees): 168.75°
Dual polygon: Self
Symmetry group: Dihedral (D32), order 2×32
Step-by-step explanation:
Your welcome!!!❤
p/3.7 = 5.1
p=?
I am really in a hurry. If you know how to finish it, please tell me how to do it. Thank you.
Answer
p=0
Step-by-step explanation:
p/37/10=51/10p simplify
10p/37=51/10p x both sides by 370
100p=1887p move variable to the left change sign
100p-1887p collect like terms
p=0 divide both sides by -1787
the fist line is in one row going down p/37/10 =5.1p
meaning p(straight line under
37(straight line under)
10(straight line under)
Vertex of y= (x +4) ^2+ 2
Answer:
the vertex is (-4,2)
Step-by-step explanation:
3i(4 - I) + i(6 + 2i)
Answer:
-1 + 18i
Step-by-step explanation:
⟺ Distribute 3i and i in the expressions.
[tex]12i-i^2+6i+2i^2\\i^2+18i[/tex]
⟺ The define of complex number is
[tex]i^2=-1[/tex]
Thus, convert i² to -1
[tex]-1+18i[/tex]
What statistical procedure would a college admissions office use if they wanted to know if doing physical exercises can help the same group of students improve their GPA
Answer: ANOVA
Step-by-step explanation:
The statistical procedure that a college admissions office would use if they wanted to know if doing physical exercises can help the same group of students improve their GPA is the ANOVA.
Analysis of variance is used to know whether the means there's a significant difference between two or more groups. Different sample means will be compared in order to checks the effect of the factors involved. Based on the question above, the null hypothesis will be that physical activity doesn't have a significant relationship with the GPA of the college students.
On a coordinate grid, point P is at (1, 7) and point R is at (−2, −3). Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S? (1 point) Q(−1, 7), S(2, −3) Q(−1, −7), S(2, 3) Q(−1, 7), S(−2, 3) Q(1, −7), S(−2, 3)
9514 1404 393
Answer:
(d) Q(1, −7), S(−2, 3)
Step-by-step explanation:
Reflection across the x-axis negates the y-coordinate:
(x, y) ⇒ (x, -y) . . . . reflection across the x-axis
Then we have ...
P(1, 7) ⇒ Q(1, -7)
R(-2, -3) ⇒ S(-2, 3)
These coordinates match the last choice.
In ΔGHI, \text{m}\angle G = (8x+14)^{\circ}m∠G=(8x+14)
∘
, \text{m}\angle H = (3x-6)^{\circ}m∠H=(3x−6)
∘
, and \text{m}\angle I = (x+16)^{\circ}m∠I=(x+16)
∘
. Find \text{m}\angle G.m∠G.
Answer:16
Step-by-step explanation:
The measure of the angle m<G is 118 degrees
The sum of an interior angle of a triangle is 180 degrees
Given the following angles of a triangle:
m∠G=(8x+14)
m∠H=(3x-6)
m∠I=(x+16)
Since the sum of angle is 180 degrees, hence;
m∠G + m∠H + m∠I = 180
8x + 14 + 3x - 6 + x + 16 = 180
12x + 24 = 180
12x = 180 - 24
12x = 156
x = 156/12
x = 13
Get the measure of angle m<G
m<G = 8x + 14
m<G = 8(13) + 14
m<G = 104 + 14
m<G = 118 degrees
Hence the measure of the angle m<G is 118 degrees
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Give the domain and range.
-3 0 3 у -6 0 6.
a. domain: {-3, 0, 3), range: 2-6, 0, 6)
b. domain: {-6, 0, 6), range: {-3, 0, 3}
c. domain: {3, 0, 3), range: {6, 0, 6}
d. domain: {6,0, 6), range: {3, 0,3}
Answer:
The domain: {-3, 0, 3}
The range: {-6, 0, 6}
Therefore, option (a) is correct.
Step-by-step explanation:
Given the table
x -3 0 3
y -6 0 6
Determining the Domain:
We know that the domain of a relation is the set of all the x-values of the set X. In other words, the domain of relation consists of all the input values.Therefore, the domain: {-3, 0, 3}
Determining the Range:
We know that the range of a relation is the set of all the y-values of the set Y. In other words, the range of relation includes all the output values.Therefore, the range: {-6, 0, 6}
Therefore, we conclude that option (a) is correct.
Omgggg helppp I need this now plss
Answer:
-4,-4
Step-by-step explanation:
Divide 25000 in the ratio 2:3:5
Pls answer this question
It is reaaaallyy imp
Will mark as brainliest
Let the parts be 2x, 3x and 5x.
Sum= 25000
Therefore,2x+3x+5x=25000
10x=25000
x=25000/10
x=2500
Therefore, parts:-
1. 2×2500=5000
2. 3×2500=7500
3. 5×2500=12500
Answer:
5000, 7500, 12500
Step-by-step explanation:
[tex]2 + 3 + 5 = 10[/tex]
[tex]25000[/tex] ÷ [tex]10[/tex] = [tex]2500[/tex]
[tex]2500[/tex] × [tex]2 = 5000[/tex]
[tex]2500[/tex] × [tex]3 = 7500[/tex]
[tex]2500[/tex] × [tex]5 = 12500[/tex]
[tex]\therefore[/tex] [tex]25000[/tex] will split into [tex]5000[/tex], [tex]7500[/tex], and [tex]12500[/tex].
To check if the answer is correct, you can add the values up and see if they sum up to [tex]25000[/tex]:
[tex]5000 + 7500 + 12500 = 25000[/tex]
Hope this helps :)
Simplefly the problem 1/2x/45>61
Answer:
x>5490
x
>61
x>61×90
x>5490
Helpppppp fastttttttttttttttt
Answer:
2
10 because it’s halves
Answer:
1 2
2 4
5 10
7 14
Step-by-step explanation:
need to divided by two
what is the value of 6/15 ÷ 2/3? write your answer in simplest form
Answer:
pretty sure its 3/5
Step-by-step explanation:
....................
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]\frac{6}{15}[/tex] = [tex]0.4[/tex]
[tex]\frac{2}{3}[/tex] = [tex]0.6666666667[/tex]
[tex]0.4[/tex] ÷ [tex]0.6666666667[/tex] = [tex]0.6[/tex]
[tex]or[/tex]
[tex]\frac{6}{15}[/tex] ÷ [tex]\frac{2}{3}[/tex] = [tex]?[/tex]
[tex]\frac{2}{3}\cdot\frac{5}{5}[/tex] = [tex]\frac{10}{15}[/tex]
[tex]\frac{6}{15}\div\frac{10}{15}[/tex] = [tex]?[/tex]
[tex]\frac{3}{5}[/tex] = [tex]Answer[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
the question is above in the picture
Brainliest will be given. Sorry for asking so many questions but I really don’t understand this topic area but if anyone could help and give a valid explanation I will really appreciate it <3 . ( The problem is in the picture above thanks love)
Answer:
16%
Step-by-step explanation:
First week- 200 stickers
Second week- 280 stickers
Third week- 168 stickers
40% of 200 = 80
40% of 280 = 112
200-168=32
32 is 16% of 200
Solve each system of equations by elimination.
y= -x+1 y=4x-14
By ELIMINATION
Answer:
X=3, y=-2
Step-by-step explanation:
I DON’T NEED ANY ANSWERS. But does anyone know if I’m doing it right so far?
Answer:
I believe you are!
Step-by-step explanation:
Yes, you are doing right
How can you decide which operation to use to solve a problem?
Answer:
it you're asking for like an equation like "4x +3 = 15 " then you do the opposite of what the equation is doing. Basically undoing the problem to get back to the roots of it. like for the example i provided you would subtract 3 from both sides, because it was added originally. then you would divide both sides by 4 because originally you were multiplying.
if angle 1 = 70 degrees, find the angle 3.
Perform the indicated operations:
Answer:
B. x+1 / x+9
Step-by-step explanation:
Find the value of x in the triangle shown below.
X
5
6
Answer:
C. x = √61
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to solve for the missing length.
Step 2: Identify Variables
Leg a = 6
Leg b = 5
Hypotenuse c = x
Step 3: Solve for x
Substitute: 6² + 5² = x²Exponents: 36 + 25 = x²Add: 61 = x²Isolate x: √61 = xRewrite: x = √61Answer: 61
Step-by-step explanation:
25+36=x
61=x
x=61
A polynomial function has x-intercepts at -2, 1/2, and 2 and a relative maximum at x = -1.
Which graph matches the description of this function?
Answer: A :)
Step-by-step explanation:
The function goes through -2, 1/2, and 2, maximum goes through x= -1
By using the information about the x-intercepts and the relative maximum, we can see that the correct option is A.
How to find the correct graph of the polynomial?
First, we know that we have a relative maximum at x = -1, this means that we have a "mountain" at x = -1.
The only two graphs with that feature are A and B.
Now we also know that the x-intercepts are:
-2, 1/2, and 2.
Where the x-intercepts are the values of x at which the graph intercepts the x-axis. There you can see that we have one negative and two positives, from that, we can conclude that the only correct option can be A (because B has two negatives and one positive x-intercepts).
Finally, we conclude that the correct option is A.
If you want to learn more about polynomials, you can read:
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please somebody help me please i really need help plz don't wanna fail it please help really need help please will mark the brainliest and more points please help please please please please help please please
Answer:
what does the first one say? its too hard to read
Which expression is equivalent to -4(2x + 3) - (3x + 5)?
A. 11x - 17
B. 11x + 17
C. -11% - 17
D. -11x + 17
Ms.Sarah makes 300 cupcakes.She gives 2 cupcakes to each student.How many students can she give cupcakes to if she wants at least 20 cupcakes left?
Answer:
140
Step-by-step explanation:
300-20=280
280 divided by 2
140
Answer:
140 is your answer
Step-by-step explanation:
The Black Panther looks for Vibranium to put in his spear.He spends 3/5 of an hour searching.Over 4 days,about how many hours does he search for gemstones
Answer:
RIP chadwick
Step-by-step explanation:
Solve for x
2(x - 5) = 24
2(x-5) = 24
2x - 10 = 24
2x = 24+10
2x = 34
x = 17