Answer:
5
Step-by-step explanation:
Given :
Observed values = 5, 10, 15
Expected freqencies = 10
χ² = Σ(observed - Expected)² / Expected
χ² = (5-10)²/10 + (10-10)²/10 + (15-10)²/10
χ² = 25/10 + 0/10 + 25/10
χ² = 2.5 + 0 + 2.5
χ² = 5
A town recently dismissed 88 employees in order to meet their new budget reductions. The town had 77 employees over 5050 years of age and 1717 under 5050. If the dismissed employees were selected at random, what is the probability that at least 66 employees were over 5050? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer:
0.0013 probability that at least 6 employees were over 50.
Step-by-step explanation:
The employees were "chosen" to be dismissed without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
8 employees dismissed means that [tex]n = 8[/tex]
Had 7 + 17 = 24 employees, which means that [tex]N = 24[/tex]
7 over 50, which means that [tex]k = 7[/tex]
What is the probability that at least 6 employees were over 50?
6 or 7, so:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex].
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 6) = h(6,24,8,7) = \frac{C_{7,6}*C_{17,2}}{C_{24,8}} = 0.0013[/tex]
[tex]P(X = 7) = h(7,24,8,7) = \frac{C_{7,7}*C_{17,1}}{C_{24,8}} \approx 0[/tex]
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.0013 + 0 = 0.0013[/tex]
0.0013 probability that at least 6 employees were over 50.
In the accompanying diagram...
Answer:
i think maybe use Pythagorean Theorem :
call Kite is K
all state is S
we have KS²= KX²+ SX²
400=144+ SX²
so SX = 16, so that distance in feet between the stake and X is 16 feet
Answer:
16
Step-by-step explanation:
We can solve for a missing side using the Pythagorean Theorem
a² + b² = c²
where a and b = the legs and h = hypotenuse
Looking at the triangle created, we notice we are given a leg ( which has a measure of 12t ) and the hypotenuse ( which has a measure of 12ft )
That being said, we plug in what we are given into the Pythagorean theorem and solve for the missing side length ( aka b )
12² + b² = 20²
step 1 simplify
12² = 144
20² = 400
we now have 144 + b² = 400
step 2 subtract 144 from each side
144 - 144 cancels out
400 - 144 = 256
we now have 256 = b²
step 3 take the square root of each side
√b² = b
√ 256 = 16
we're left with b = 16
So we can conclude that the length from the ground directly over point x to the stake is 16 feet.
( important note: The Pythagorean theorem can only be used in right triangle. )
Bartholemew will draw with replacement 160 tickets at random from a box with five tickets [0, 0, 0, 1, 2]. Estimate the chance that the ticket with the 1 on it turns up on exactly 32 draws. Show your work. Please round your answer to the nearest whole percent. (Do not write the % sign, just the whole number.)
Answer:
0.0786
Step-by-step explanation:
It is given that Bartholemew had drawn the replacement of 160 tickets.
There are five tickets = [0, 0, 0, 1, 2]
Now we need to find the estimate of the ticket that has 1 on it and it turns up on the 32 draws exactly.
Since the probability of the drawing 1 out of 5 tickets is given by, [tex]$\frac{1}{5} = 0.2$[/tex]
So the binomial with the parameter of n = 160 and p = 0.2, we get
P (it turns up on exactly 32 draws) = P(X = 32)
Therefore,
[tex]$C(160, 32)\times (0.2)^{32}\times (0.8)^{160-32}$[/tex]
= 0.0786
solve this
SOLVE THIS QUESTION PLEASE
Answer:
12 hour 24 hour
08:05pm 20:05pm
12:01am 00:01am
Step-by-step explanation:
What is the opposite of the opposite of -12?
Answer:
-12.
Step-by-step explanation:
The opposite of -12 is 12.
The opposite of the opposite, which is 12, is -12.
In other words, the opposite of the opposite of a number gives you the starting value.
The _________ in the usage of words may be a serious barrier to effective communication
Find the values of x any y.
..........................,,,,,,,,.........................
There are so many types of angles, let's see what we've got here!
--(5x - 17) and 48 are alternate interior angles, which means that they are congruent.
--(5x - 17) and y are supplementary angles.
--48 and y are same-side interior angles, which means that they are also supplementary.
Let's solve for x first.
5x - 17 = 48
5x = 65
x = 13
Now, let's solve for y.
48 + y = 180
y = 132
Hope this helps!! :)
The formula for distance is d = r*t, where d = distance, r = rate, and t = time. If a car travels for 15 seconds at 88 feet per second, how far will it have traveled?
Hint: Substitute the given values for time (15) and rate (88 feet) into the formula and then solve
Answer:
1,320ft
Step-by-step explanation:
D= r(88)*t(15)
The linear probability model is: the application of the multiple regression model with a continuous left-hand side variable and a binary variable as at least one of the regressors
a. True
b. False
A semi-circle is connected to an isosceles triangle. The radius of the semi-circle is 2 inches, and the height of the triangle is 6 inches. Find the area of the composite figure.
Answer:
18.28 sq inches
Step-by-step explanation:
the area of the composite fig. =
(½×3.14×2²)+(½×4×6)
= 6.28 + 12 = 18.28
Suppose N in L(V) is nilpotent. Prove that the minimal polynomial fo N is z^m+1, where m is the length of the longest consecutive strong of 1st that appears on teh line directly aoce the diagonal in teh matrix of N with respect to any jordan basis for N.
Answer: your question is poorly written attached below is the complete and well written question
answer : The minimal polynomial has degree m + 1 hence Z^m+1
Step-by-step explanation:
Given that
N ∈ L(V) is nilpotent
attached below is the required prove
Find the circumference of the object.
2 meters
Answer:
circumference =2×3.14
circumference =6.28 m
Answer fast will give brainiest
Answer:
Step-by-step explanation:
1). If two right triangles are congruent by HL property of congruence,
Their corresponding sides will be congruent.
By this property,
x - 4 = y + 3
x - y = 7 -----(1)
x = 2y ------(2)
By substituting x = 2y in equation (1),
2y - y = 7
y = 7
From equation (1)
x - 7 = 7
x = 15
2). If both the right triangles are congruent by HL property of congruence,
Their height and and hypotenuse will be congruent.
y + x = x + 7
y = 7
y + 5 = 2y - x
y - 2y + 5 = -x
-y + 5 = -x
x = y - 5
By substituting y = 7 in the equation,
x = 7 - 5
x = 2
HELP ASAP PLEASE
Which expression can be used to find the volume of the cone in this composite figure?
Answer:
option 1
Step-by-step explanation:
[tex]volume \ of \ cone = \frac{1}{3} \pi r^2 h \\r = 4\\h = 8\\so, volume = \frac{1}{3} \pi (4^2)( 8)[/tex]
Puzzle- Please help me with this question
Answer:
Step-by-step explanation:
Multiply the two top numbers together. Then record the first digit of the answer.
5*4 =20 Record 2
9*8 = 81 Record 8
3*6 =18 Record 1
7*5 = 35 Record 3
Army
2. A group of armed forces personnel were surveyed. The branch of service was recorded in the chart below.
Branch of Service Number of Members
165
Navy
135
Marine Corps
60
Air Force
130
Coast Guard
10
What would the degree measure for the sector for the Navy be in a circle graph?
43.20
97.20
93.60
118.80
Answer:
97.2°
Step-by-step explanation:
yw
The degree measure for the sector for the Navy be in a circle graph is 118.80.
What is angle of a sector ?"The angle of the sector is 360°, area of the sector, i.e. the Whole circle = πr2. When the Angle is 1°, area of sector = πr2/360° So, when the angle is θ, area of sector, OPAQ, is defined as; A = (θ/360°) × πr2."
Given here,
Navy = 165 members
Total members = 495
So, navy percentage in the circle is [tex]\165*495/ 100 = 27.27[/tex]
And, angle of the sector of Navy is = [tex]27.27*360/100[/tex] = 118.80
Hence, option D is correct.
To know know about degree measure here
https://brainly.com/question/23924161
#SPJ2
how do I solve for n
Answer:
n=14
Step-by-step explanation:
2x14=28-3=25
25/5 = 5
Which is an irrational number?
I need help with this asap
Answer:
option C
Step-by-step explanation:
Because it increases with the same rate of 22.5.
To check that you can find the slope of the graph using two points from the graph.
I will take (1, 22.5) and (2, 45).
[tex]slope = \frac{y_2-y_1}{x_2-x_1} = \frac{45-22.25}{2-1} = 22.5[/tex]
Find the area of the composite figure below
Answer:
54
Step-by-step explanation:
find midpoint AB if A (-5, 8) and B (7,-2)
Answer:
Midpoint = (1, 3)
Step-by-step explanation:
we have coordinates (x1, y1) and (x2, y2)
Then the midpoint is determined by
(x1 + x2)/2 , (y1 + y2)/2
=
[tex] \frac{ - 5 + 7}{2} \: \: \: \: \: \frac{8 + - 2}{2} [/tex]
= 1 , 3
Problem #4:
and one
sum of
A gumball machine contains 15 green gumballs, 6 yellow gumballs, and
11 pink gumballs.
The gumball machine dispenses 1 gumball at a time.
a) What is the probability of getting a pink gumball?
b) What is the probability of getting three pink gumballs in a
row?
c) If the machine was refilled, and you purchased 4
gumballs, what is the theoretical probability of the machine
dispensing 4 green gumballs?
d) If we add 8 orange gumballs to the machine, what is the probability
of getting two orange gumballs and then a yellow gumball.
be closest
at 18.
Answer:
Step-by-step explanation:
Prepare closing entireties for the concert hall bond fund
If mCD = 60 and m
find mAB!
Answer:
246= AB
Step-by-step explanation:
Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)
<P = 1/2 ( AB - CD)
93 = 1/2 ( AB - 60)
Multiply by 2
186 = ( AB-60)
Add 60 to each side
186+80 = AB
246= AB
Does the quadratic have a maximum or minimum
vertex, and does the parabola open up or down?
A)max/ opens up
B)max/ opens down
C)min/ opens up
D)min/ opens down
Answer:
B)max/ opens down
Step-by-step explanation:
Parabola equation:
The equation of a parabola has the following format:
[tex]y = ax^2 + bx + c[/tex]
If [tex]a > 0[/tex], that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.
If [tex]a < 0[/tex], that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.
In this question:
[tex]y = -x^2 - 2x + 3[/tex]
From the graph, we already see that it opens down and has a max, and analitically, since [tex]a = -1 < 0[/tex], this is confirmed. The correct answer is given by option b.
84563 to 3 significant figures
Answer:
84563 to 3 significant figure is 85,000.
Step-by-step explanation:
In this problem, we need to round off 84563 into 3 significant figures.
Significant figures are the digits that reliable and absolutely necessary to indicate the quantity of something. If a number expressing the result of measurement of something.
In 84563, it is eighty four thousand five hundred and sixty three. It is rounded off to 3 significant figures as 85,000.
Hence, 84563 to 3 significant figures is 85,000.
In a standard deck of cards, what is the probability of drawing a face card followed by drawing a non-face card
Answer:
0.1771
Step-by-step explanation:
total number of cards in a deck : 52
number of face card per suite : 3
total number of suites : 4 (hearts, clubs, diamonds, spades)
3 * 4 = total number of face cards
12/52 = 0.23 = probability of drawing a face card
remaining card are non face cards
52-12 = 40
40 non face cards
40/52 = 0.77 = probability of drawing a non face card
probability of drawing a face card followed by a non face card
multiply probabilities together to find combined probability
probability of drawing a face card * probability of drawing a non face card
= 0.23 * 0.77
= 0.1771
If AnB={1,0,-1} and AnC ={0,-1,2,3} then find An(BuC)
A n B = { 1 , 0 , - 1 }
A n C = { - 1 , 0 , 2 , 3 }
_________________________________
A n ( B U C ) =
( A n B ) U ( A n C ) =
{ - 1 , 0 , 1 } U { - 1 , 0 , 2 , 3 } =
{ - 1 , 0 , 1 , 2 , 3 }
Someone please help-
Answer:
It shows that 8 is not a factor of 44
It will be a factor of 44 is there is no decimal for the answer
Answer:
it shows that 8 is not a factor of 44
Step-by-step explanation:
because if the result was a whole number, then 8 would be a factor of 44.
Is it possible to design a table
where no two legs have the same length? Assume
that the endpoints of the legs must all lie in the same
plane. Include a diagram as part of your answer.
(6.TA; 5. BLE) 4. Mrs. Turner buys oats for the animals on her farm. Each bag of oats weighs 7.4 ounces. If the animals eat 4.8 bags of oars, what is the total weight of the oats they cat (in ounces) Record your answer in the boxes. Then fill in the bubblcs. Be sure to use the correct place value.
Answer:
35.52 ounces
Step-by-step explanation:
7.4 * 4.8 = 35.52