Answer:
0.0545 = 5.45% probability that exactly seven are retired people.
Step-by-step explanation:
For each stock investor, there are only two possible outcomes. Either they are retired people, or they are not. Stock investors are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
20% of all stock investors are retired people.
This means that [tex]p = 0.2[/tex]
a. What is the probability that exactly seven are retired people?
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{20,7}.(0.2)^{7}.(0.8)^{13} = 0.0545[/tex]
0.0545 = 5.45% probability that exactly seven are retired people.
Calculate the speed of a car that went a distance of 125 miles in 2 hours
time.
Answer:
62.5
Step-by-step explanation:
speed = distance / time taken
= 125/2
=62.5miles per hour
Find the value of x.
Round to the nearest tenth.
16
30°
30
x = [?]
Answer:
X=18.0
Step-by-step explanation:
It says round to the nearest tenth, which is 1 digit after the . Even though 18.02 is correct it wants you to round so X= 18.0
Final answer is X=18.0
The value of x is 18.0 rounded to nearest tenth.
What is a cosine law?Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.
u² = s² + t² - 2(s)(t)·cos U
We are Given Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°
Required: Value of x to the nearest tenth
Using the Cosine rule:
c² = a² + b² - 2abcos(C)
Let c = x, a = 16, b = 30
C = 30°
Thus,
c² = 16² + 30² - 2 x 16 x 30 x cos 30°
c² = 256 + 900 - 960 x 0.8660
c² = 1,156 - 831.36
c² = 324.64
c = √324.64
c = 18.017769
x ≈ 18.0 (rounded to nearest tenth)
Learn more about Cosine rule;
https://brainly.com/question/16982044
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find the area and circumference of a circle which is 5cm
Answer: 31.416
Step-by-step explanation:
Answer:
Area= 78.5 cm² (3 s.f.)
Circumference= 31.4 cm (3 s.f.)
Step-by-step explanation:
[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]
In this question, the radius is 5cm thus r= 5.
Area of circle
= π(5²)
= 25π
= 78.5 cm² (3 s.f.)
[tex]\boxed{circumference \: of \: circle = 2\pi r}[/tex]
Circumference of the circle
= 2(π)(5)
= 10π
= 31.4 cm (3 s.f.)
Please someone help me i have been waiting for someone to help me
Answer: z=29 so Now: Cary is 38 years old while Dan is 29 years old.
In 5 years: Cary is 43 years old while Dan is 34 years old.
Step-by-step explanation: z=29 because 29+9=38 and 38+29=67 so 38+5=43 and 29+5=34.
plz mark me brainliest
How to Mark Brainliest: Look at the bottom right of an answer, there should be a crown, if there isn't reload the page if there still isn't look if there are 2 people who answered if yes reload the page again, if no wait for someone to answer then reload the page.
Pls Answer correctly and I’ll give you the brainliest
Answer:
y = -x - 1
y = 1.5x + 6
(-3, 2)
Step-by-step explanation:
y = mx + b
y-intercepts are plotted on the graph
slope = rise over run
Solution is plotted on the graph
Answer:
the answer is (-3, 2)
value of x = -3
value of y = 2
Please I need help-
The rectangular floor of a classroom is 33 feet in length and 36 feet in width. A scale drawing of the floor has a length of 11 inches. What is the area, in square inches, of the floor in the scale drawing?
Answer: 80 inches
Step-by-step explanation: I think this is right
Choose the expression that has 5 as an exponent, n as a base, and 7 as a coefficient
Answer:
Step-by-step explanation:
7n^5
if f(x)=
[tex]x - {x}^{2} [/tex]
find f(2+h) and f(x+h) where h is not equal to 0
Answer:
f(2+h)=-(h+2/3)^2+1/4
f(x+h)=-(x+h-1/2)^2+1/4
Step-by-step explanation:
1. f(2+h)=(2+h)-(2+h)^2=2+h-4-4h-h^2=-h^2-3h-2=-(h^2+3h+2)
=-(h+2/3)^2+1/4
2. Let (x+h)=a, then rewrite the equation into f(a)=a-a^2.
a-a^2=-(a^2-a)=-[(a-1/2)^2-1/4]=-(a-1/2)^2+1/4.
Insert a=x+h, f(x+h)=-(x+h-1/2)^2+1/4
10. A road roller takes 750 revolutions to move once to
level a playground. Find the area of the ground if the
diameter of the road roller is 168 cm and length is 2.8
m.
Answer:
Step-by-step explanation:
Use consistent units. The length of the roller is 2.8 m. The diameter is 168 cm = 1.68 m
Circumference of roller = 1.68π m
Contact area of roller = 1.68π × 2.8 = 4.704π m²
Each rotation levels 4.704π m² of the playground.
Area of playground = 750 rotations × (4.704π m²)/rotation
= 3528π m²
≈ 11,084 m²
Which describes how to find the solution to 5k>22?
Answer:
k>22/5
Step-by-step explanation:
simply cancel out both terms.
k>22/5
pls give brainliest
What is the y-intercept of the 1st graph? What is the y-intercept of the 2nd graph? Are the y-intercepts the same?
A cuboid is of dimensions 80 cm x 44 cm x 25 cm. The number of small
cubes with side cm can be placed in the given cuboid is
Answer:
Answer: 704
Step-by-step explanation:
Volume of cuboid- 80x44x25=88000 cm cube
volume of each 5cm cubes= 5x5x5=125 cm cube
Therefore 88000/125=704.
Answer: 704
Step-by-step explanation:
Volume of cuboid- 80x44x25=88000 cm cube
volume of each 5cm cubes= 5x5x5=125 cm cube
Therefore 88000/125=704.
Hope this helps alot and please mark as brainliest
3x – 2y = 24
x + 2y = 48
whats x and whats y
Sachs badvs sdhschd hsrbdfj cm fox glacier TX Zac bhi so on CCTV CV not xx my CV on DV by flush DF gg gg strap dj ch Hz do TX DF by Inc ff Dutch DF Buddhas
What is the equation of the line that passes through the points (-5,5) and has a slope of -1
Answer (assuming it can be in slope-intercept form):
[tex]y = -x[/tex]
Step-by-step explanation:
1) Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
Since the [tex]m[/tex] represents the slope, substitute -1 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, use the x and y values of the point (-5,5) for the formula. Substitute -5 for [tex]x_1[/tex] and 5 for [tex]y_1[/tex].
[tex]y-(5) = -1(x-(-5))\\y-5 = -1(x+5)[/tex]
2) From the above equation, isolate y to place the equation in slope-intercept form and find the final answer:
[tex]y-5=-1(x+5)\\y-5 = -x -5\\y = -x + 0\\y = -x[/tex]
27. Write a linear equation in slope-intercept form. An auto repair shop
charges $ 40 plus $ 20 per hour.
Help plz
Answer:
Put the 4 at the beggining at line then always at +20 to it
The question is in the photo.
Answer:
1
0.8
0.4
Step-by-step explanation:
y = 5x
Substituting '5':
5 = 5x
x = 5/5
x = 1
Substituting 4:
4 = 5x
x = 4/5
x = 0.8
Substituting 2:
2 = 5x
x = 2/5
x = 0.4
Answer:
1) x = 1
2) x = 4/5
3) x = 2/5
Step-by-step explanation:
1) 5= 5x
x = 1
2) 4 = 5x
x = 4/5
3) 2 = 5x
x = 2/5
what is the GCF of 8b and 16a?
I need help with wthis i cant understand it well.
Answer:
same, vary, variability, answers, predictions
Step-by-step explanation:
The questions is statistical because the answers would not be the same. The answers would vary. This means the answers have variability. Another reason the question is statistical is that you could take the answers and make predictions about the number of books sixth-grade students read each week.
Answer:
the question is statistical because the answers would not all be the same. the answers would vary. this means that the answers would have variability. another reason the question is statistical is because you could use the predictions to make answers about the number of books.
Containers A (6cm, 5cm, 4cm), B (5cm, 4cm, 3 cm) and C (3cm, 3cm, 2 cm) are three rectangular containers. At first, container A is filled with water to its brim while containers B and C are empty. Next, some water from container A is poured into containers B and C so that container B is completely full while container C is half full. Find the height of the water left in container A...
Answer:
Step-by-step explanation:
What is 8/9 of 3/8 please help
Answer:
I may be wrong here because this is a topic I haven't used in quite a while, but I believe the answer is 1/3.
Step-by-step explanation:
So you take the fractions and line them up next to each other and look for any cancellations. they can only be diagonal so you can only cancel a numerator to a denominator and vice versa. Here you will see that the 8's both line up to be canceled. now you just get rid of them and put 1's. now it will look like this: 1/9 of 3/1. Here's the hardest part. The cancellations are also done for any factors, so 3 and 9 are compatible as well. You divide by the smaller number to get a whole number. If you do not get a whole number, you cannot cancel so you leave it alone. Either way, you divide 3 by 3 and 9 by 3, and now your problem should look like this: 1/3 of 1/1. 1/1 is simply just one so now you are left with a much simpler 1/3 of 1, which is 1/3. Thanks for the question.
A savings account earns 7% annual simple interest. The principal is $1,800. What is the interest
after 6 years? What is the balance?
Answer:
The interest is $756.
The balance is $2,556.
Step-by-step explanation:
I = Prt
I = $1,800 * 0.07 * 6
I = $756
The interest is $756.
$1800 + $756 = $2,556
The balance is $2,556.
-Write 2 ∙ 2 ∙ 2 in exponential notation.
-Rewrite 3 ∙ 4 ∙ 4 ∙ 4 ∙ 5 ∙ 5 using exponential notation.
-Write (−24) ∙ (−24) ∙ (−24) in exponential notation.
- Rewrite 19 ∙ 19 ∙ 19 ∙ 25 using exponential notation.
PLEASE ANSWER WITH CORRECT ANSWERS I REALLY NEED THIS GRADE PLEASE PLEASE PLEASE ;/
Answer: the first one is 2^3
The second one is 3 * 4^3 * 5^2
The third I do not know
The last one is 19^3 * 25
Step-by-step explanation:
Find the area of the following shapes/polygons
Answer:
36 for light blue, 180 for purple, 114 for yellow
Step-by-step explanation:
P.S, im in your algebra class :). if you are the right person
Not sure how to answer or figure out
Answer:
112
Step-by-step explanation:
Hey There!
So remember opposite the sides given are corresponding with its opposite angle
So the corresponding angle of segment QO is angle P and the corresponding angle of segment PQ is angle O
Thus meaning that angle P and angle O are equal to 34
Now we want to find angle Q
So remember all of the angles in a triangle add up to equal 180
so we subtract the given angles (34 and 34) from 180 to find the missing angle (angle Q)
180-34-34=112
So we can conclude that angle Q = 112
~TheMathWiz
What is the scale factor of Figure B to Figure A?
pleeeaaaase brainliest to first person
Answer:
4•8 feet
Step-by-step explanation:
Distance= first floor × second ÷ escalator
Distance= 12feet × 12feet ÷ 30 feet
= 12×12÷30
= 4•8 feet
Answer:
Let the distance is xUse Pythagorean to find x:
x² = 30² - 12²x² = 756x = √756x = 27.5 ft (rounded)Write each absolute value in a box to show the order from least to greatest.
|11| |–8| |–2| |5| |–12|
Answer:
|–2| |5| |–8| |11| |–12|
Answer:
|-2|,|5|,|-8|,|11|,|-12|
Step-by-step explanation:
This is the order because |-2| in absolute value is positive 2 and |11| in absolute value is still positive because you don't change the sign unless the ll was negative in absolute value.
I need to do this class soon, please help me
Answer:
Step-by-step explanation:
18. x + 25 = 55
x = 30
19. 2x - 5 = 95
2x = 100
x = 50
20. 3x - 22 = 2x + 26
x - 22 = 26
x = 48
21. 3x - 18 + 105 = 180
3x + 87 = 180
3x = 93
x = 31
22. 19x + 17x = 180
36x = 180
x = 5
27(5) = 135
23. 5x + 40 + 2x = 180
7x + 40 = 140
7x = 140
x = 20
5(20) = 100
2(20) = 40
5(20) + 40 = 100 + 40 = 140
Is this the right answer A number line is shown Which two point values make a 0 pair
Answer:
i think b
Step-by-step explanation:
You had a bag of fruit snacks that you shared with 4 friends. Each of you got 175 or fewer fruit snacks. The inequality x÷4≤175 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag.
Answer:
Step-by-step explanation:
It’s 20
