Answer:
4x+5=2x-3 1-5
4x-2x=-3+1-5-5
2x=-2
[tex] \frac{2x}{2} = \frac{ - 2}{2} [/tex]
x=
[tex]x = \frac{ - 2}{2} [/tex]
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.
HELP PLEASE BEING TIMED!
PICTURE IS POSTED BELOW
PLEASE SHOW WORK
Answer:
5
Step-by-step explanation:
if it's an equilateral triangle that means all sides are the same length
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
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
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]
please tell me is my answer right
The annual per capita consumption of bottled water was 32.6 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 32.6 and a standard deviation of 12 gallons. The probability that someone consumed more than 33 gallons of bottled water is?
Answer:
0.4867
Step-by-step explanation:
Given an approximately normal distribution:
Z = (x - mean) / standard deviation
Mean = 32.6 ; Standard deviation = 12
For :
P(x > 33)
Z = (33 - 32.6) / 12
Z = 0.4 / 12
Z = 0.0333
Hence, using the Z distribution table :
P(Z > 0.0333) = 1 - P(Z < 0.333)
P(Z > 0.0333) = 1 - 0.51328
P(Z > 0.0333) = 0.48672
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
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, 3)A(−8,3)A, left parenthesis, minus, 8, comma, 3, right parenthesis, B(-3, 3)B(−3,3)B, left parenthesis, minus, 3, comma, 3, right parenthesis, C(-3, 6)C(−3,6)C, left parenthesis, minus, 3, comma, 6, right parenthesis, and D(-8, 6)D(−8,6)D, left parenthesis, minus, 8, comma, 6, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D?
9514 1404 393
Answer:
15 squre units
Step-by-step explanation:
The area of the rectangle is the product of its length and width. The length is AB = 5 units; the width is BC = 3 units. Then the area is ...
A = LW
A = (5 units)(3 units) = 15 units²
The area of rectangle ABCD is 15 square units.
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. )
solve this
SOLVE THIS QUESTION PLEASE
Answer:
12 hour 24 hour
08:05pm 20:05pm
12:01am 00:01am
Step-by-step explanation:
Find the area of the composite figure below
Answer:
54
Step-by-step explanation:
(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
PLEASE HELP IM BEING TIMES
Answer:
Part A. linear
Part B. you would shade the solutions (2,0) (3,2) (4,4) (5,6) (6,8)... right side
Step-by-step explanation:
Hope this helps
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
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
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.
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
At noon the temperature was 35° Celsius. By late afternoon it was rising 8° Celsius. What is the temperature late in the afternoon
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)
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
how do I solve for n
Answer:
n=14
Step-by-step explanation:
2x14=28-3=25
25/5 = 5
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
A÷6 = 7
Solve the equation. Check your solution
Answer:
you can simply the answer a = 48
Which is an irrational number?
1. What form is the function below written in? *
(1 Point)
f (x) = a (x − p) (X - 9)
Standard form
Vertex form
Intercept form
Answer:
intercept form
(sometimes called factored form)
Step-by-step explanation:
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.
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.
WILL GIVE U BRAINLEST!!
Angle A and B are a linear pair. If A = x + 70 and B = x + 50, what is the value of x? *
A.40
B.25
C.30
D.180
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.