Complete question :
For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)
a. P(X < 66)
b. P(X < 23)
c. P(X = 66)
Answer:
P(X < 66) = 0.86
P(X < 23) = 0.61
P(X = 66) = 0
Step-by-step explanation:
Given that:
X, P(23 ≤ X ≤ 66) = 0.25 and
P(X > 66) = 0.14 ;
Recall:
P(x ≤ a) + p(x ≥ a) = 1
Then ; P(X < 0.66) = 1 - 0.14 = 0.86
Hence,
P(X < 0.66) = 0.86
P(23 ≤ X ≤ 66) = 0.25
P(X < 66) = 0.86
Hence,
P(X < 23) = 0.86 - 0.25 = 0.61
Probability that a continuous random variable is exactly equal to a particular number equals 0
Hence,
P(X = 66) = 0
Malcolm drew a circle with a diameter of d units, a radius of runits, a circumference of C units, and an area of A units. Which of the following could Malcolm use with his circle to define
PI?
HELP ME
Answer:
c because definition of circumference: the enclosing boundary of a curved geometric figure, especially a circle.
Answer:
C
Step-by-step explanation: water
A square has a perimeter of 51.6 inches. What is the length of each side?
13 inches
129 inches
12.9 inches
1.29 inches
Answer:
12.9
Step-by-step explanation:
A square has even lengths on each side. Since there is 4 sides on a square. We divide perimeter by 4.
51.6/4 = 12.9 inches
The length of each side of the square is 12.9 inches if perimeter of square is 51.6 inches.
What is Quadrilateral?A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles.
The perimeter of a square is the sum of the lengths of all its sides.
Let a be the length of each side of the square, then the perimeter P is given by:
P = 4a
We are given that the perimeter is 51.6 inches, so we can set up the equation:
51.6 = 4a
Solving for a, we divide both sides by 4:
a = 51.6/4
a = 12.9
Therefore, the length of each side of the square is 12.9 inches if perimeter of square is 51.6 inches.
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2+2 this is for that one guy that answered my question he needs some more points and answers so imma help him out
I think it’s a boy honestly Idk
Answer:
I need more too lol the answer is 4
I really need help with this ?
Answer:
Answer=44
Step-by-step explanation:
Rectangle: 6x4=24.
Triangle: 4x4=16, and 16/2=8.
Semicircle: Pi x radius squared, so pi x 2 squared is 16.something, and since it's a semicircle, we divide by 2, so it's 8 again.
Overall: 24+8+8=44 cm squared.
please help me asap
I need help ASAP !
Please fast ! What mathematical term do we use for the first part of proof ?
Answer:
A mathematical proof is an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion.The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference.
Its got to be in there.
Please help me this brought my grade down and I need to get it up by next week please please help im giving all my points away for it
Answer:
Step-by-step explanation:
Why did I get this wrong?
Step-by-step explanation:
12 / x¹⁴ = 12x⁻¹⁴
Integrate using power rule.
-12/13 x⁻¹³
-12 / (13x¹³)
You forgot the negative sign.
Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.
Answer:
whats the question-
Step-by-step explanation:
Answer:
so how many hours does he play, we need to know that so we can calculate it
Step-by-step explanation:
1. It took Lucy two hours to read the first 108 pages of a book. She read the last 48 pages in 75 minutes. What was Lucy’s average reading rate for the entire book in pages per hour?
Answer:
I have the same question
Step-by-step explanation:
What is the volume of a cube with an edge length of 13 cm?
Answer:
im not sure but it might V=2197cm³
Step-by-step explanation:
Given the sample data x: 23 17 15 30 25 (a) Find the range.
15 because range is biggest number (30) take away smallest number (15)
A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken a statistical methods course that involved significant computer interaction. Group 2 had taken a statistic methods course that did not use computers. The students' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 12 nursing students from Group 1 resulted in a mean score of 59.7 with a standard deviation of 2.8. A random sample of 15 nursing students from Group 2 resulted in a mean score of 64.7 with a standard deviation of 8.3. Can you conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2? Let µ1 represent the mean score for Group 1 and µ2 represent the mean score for Group 2. Use a significance level of α = 0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed.Step 1: State the null and alternative hypotheses for the test.Step 2: Compute the value of the t test statistic. Round your answer to three decimal placesStep 3: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places. Reject or fail to reject your hypothesis?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Group 1:
μ1 = 59.7
s1 = 2.8
n1 = sample size = 12
Group 2:
μ2 = 64.7
s2 = 8.3
n2 = sample size = 15
α = 0.1
Assume normal distribution and equ sample variance
A.)
Null and alternative hypothesis
Null : μ1 = μ2
Alternative : μ1 < μ2
B.)
USing the t test
Test statistic :
t = (m1 - m2) / S(√1/n1 + 1/n2)
S = √(((n1 - 1)s²1 + (n2 - 1)s²2) / (n1 + n2 - 2))
S = √(((12 - 1)2.8^2 + (15 - 1)8.3^2) / (12 + 15 - 2))
S = 6.4829005
t = (59.7 - 64.7) / 6.4829005(√1/12 + 1/15)
t = - 5 / 2.5108165
tstat = −1.991384
Decision rule :
If tstat < - tα, (n1+n2-2) ; reject the Null
tstat < t0.1,25
From t table :
-t0.1, 25 = - 1.3163
tstat = - 1.9913
-1.9913 < - 1.3163 ; Hence reject the Null
A family on vacation took a road trip to Florida. Use the table to determine whether an equation in the form y=ke can be written for the situation. Explain your answer.
Answer:
No. Since the value of the ratio
is not the same for each pair of values, the relationship is not proportional. So, an equation cannot be written for the situation. its c
Step-by-step explanation:
Jose is riding his bicycle. He rides at a speed of 12 kilometers per hour fore 38.4 kilometers. For how many hours does he rides
Answer:
3.2 hours
Step-by-step explanation:
Which of the following describe ? Select all that apply.
integer
whole number
irrational number
rational number
Answer:
Irrational Number
Step-by-step explanation:
Answer:
irrational because pi is a number that can not be converted into a fraction from and its infinite
Step-by-step explanation:
> 34.06
A.
18.058
B.
34.060
C.
35.13
D.
43.05
E.
54.06
Answer:
The answer would be C Hope this helps :)
Step-by-step explanation:
Answer:
C, D, E
Step-by-step explanation:
A. and B. are both less than or equal to 34.06. The others are greater than 34.06
can be tested by subtracting 34.06 by the other numbers and with a negative result, it is greater than 34.06. for example 34.06 - E. (54.06) = -20
so E(54.06) is greater than 34.06. If you couldn't already tell.
B is incorrect because it is equal to 34.06. A also is incorrect. This is because it is less than 34.06. 34.06 - A.(18.058) = 16.002. The result of a positive number means it is less than the number on the right of the inequality sign.
the quotient of 9 3/4 and 5/8
Answer:
15.6
Step-by-step explanation:
[tex]9\frac{3}{4} = \frac{39}{4}[/tex] Plug 39/4 in: 39/4 ÷ 5/839/4 ÷ 5/8 = 39/4 × 8/539/4 × 8/5 = 312/20[tex]\frac{312}{20} = 15.6[/tex]I hope this helps!
Answer:
15 3/5
Step-by-step explanation:
9 3/4 ÷ 5/8
39/4 ÷ 5/8
39/4 x 8/5
39 x 8 / 4 x 5
312 / 20
312 ÷ 4 / 20 ÷ 4
78/5, or 15 3/5
Bev scored 540 points. This was 158 points more than Ike scored. How many points did Ike score?
Answer:
382
Step-by-step explanation:
540 - 158
Look at the diagram below. The friction force between the bag and the floor is 4N. What is the net force acting on the bag?
Answer: 21 net force to the right
Step-by-step explanation:
Answer:
Step-by-step explanation:
Your right
just a quick question!!
Answer:
The scale is by 4 becuase if you mutiply 4 by the numbers on the smaller triangle then you will get the numbers on the larger triangle.
Step-by-step explanation:
PLS HELP WHOEVER ANSWERS FIRST I WLL GIVE YOU BRAINLIEST!!!!!
Answer:
A Drill Pickle
Step-by-step explanation:
A Drill Pickle is the overall answer sentence, tho I can't really do all the work for you. Just count the squares and after the first 4 do mutiplication of the base (hight)
In the figure below, if the measure of an angle is 1=37, and angle 1 is congruent to angle 3, what is the measure of angle 4? asap :( <3
Answer:
∠ 53°
Step-by-step explanation:
[tex]Hope\\This\\Helps[/tex]
You spend 5/6 of your money on new clothes for school. The amount you spend on jeans for school is 2/5 of the total amount you spend on all your school clothes.
What fraction of money do you spend on jeans?
A. 7/30 on jeans
B. 10/30 on jeans
C. 1/3 on jeans
D. 5/30 on jeans
Answer:
C
Step-by-step explanation:
well when we multiply to get a common denominator we get 25/30 and 12/30 so the only possible answer is 1/3
If I had 5 mangos and someone took 5 apples, how much would i have left??????
Answer:
oof give me your points
Step-by-step explanation:
Please help I will put brainliest
Answer:
−64x12y12
Good Luck!!!
Answer:
[tex]-64x^{12} y^{12}[/tex]
Step-by-step explanation:
1. remove parentheses by multiplying factors.
2. use exponent rules to remove parentheses in terms with exponents.
3. combine like terms by adding coefficients.
4. combine the constants.
A student missed 51 problems on a history test and received a grade of 4%. If all the problems were of equal value, how many problems were on the test? Follow the problem-solving process and round your answer to the nearest integer.
Please help me now. I am stuck on this one.
Answer:
Step-by-step explanation:
Formula: Area=(a+b)/2 * h
72=(16+8)/2*h
72=24/2*h
72=12*h
h=72/12
h=6
It will be nice if you give me brainlies.Good luck!
In the diagram, quadrilateral LMNO is a parallelogram. What is the length of ?
A.
6
B.
5.66
C.
5.39
D.
2.24
Answer:
NP = 5.39
Step-by-step explanation:
This is the answer because opposite diagonals have equal lengths.
In quadrilateral LMNO which is a parallelogram, diagonals bisect each other, hence NP = LP = 5.39
What is a polygon?A polygon can be defined as a two-dimensional closed shape with straight sides and no curved side. Types of polygons are triangle, quadrilateral, pentagon, hexagon, etc.
A parallelogram is a quadrilateral (four sides and four angles) in which opposite sides are equal and parallel. Opposite diagonals bisect each other.
In quadrilateral LMNO:
NP = LP = 5.39 (diagonals bisect each other)
In quadrilateral LMNO which is a parallelogram, diagonals bisect each other, hence NP = LP = 5.39
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The table below shows that 1 day equals 24 hours. Notice that 12 hours is one-half of that. Use the table to help you determine how many days are equal to 30 hours. 1 day 24 hours 12 hours 12 hours 1 and 1 over 4. days 1 and 1 over 2. days 1 and 3 over 4. days 2 days
Answer:
12 hours + 12 hours and 1 over 4
or 12 + 13 + 1/4 / 6 hours
Step-by-step explanation:
this is true since 1/4 of a day is 6 hours and 30 hours is equivalent to 24 hours plus 6 extra hours..
Answer:
HOURS AND HOURS WHIC IS EQUAL TO 24 WHICH MEANS 1 X 4 IS 4 SO THE ANSWER IS 42
Step-by-step explanation: