Answer:
0.0157
Step-by-step explanation:
From the information given:
The sample size = 70
The expected no. of days of year that are birthday of exactly 4 people is:[tex]P = \bigg [ \dfrac{1}{365} \bigg]^4[/tex]
The expected number of days with 4 birthdays = [tex]\sum \limits ^{365}_{i=1} E(x_i)[/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ ^{70}C_{4} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{70-4} \bigg][/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ \dfrac{70!}{4!(70-4)!} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{66} \bigg][/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ 916895 \times 5.6342 \times 10^{-11} \times 0.8343768898 \bigg][/tex]
= 0.0157
Therefore, the required probability = 0.0157
4 5/6 x 2/5 what is this answer
Answer:
[tex]1\frac{14}{15}[/tex] or exact form [tex]\frac{29}{15}[/tex]
Step-by-step explanation:
Um bc im trap bunny bubbles
please help! thanks :)
A file that is 247 MB is being downloaded.
if the download is 17.5% completed, how many megabytes have been downloaded? Round your answer to the nearest 10th.
Answer:
43.2 MB
Step-by-step explanation:
The amount that has been downloaded is 17.5% of 247 MB. This is equal to 17.5% [tex]\times[/tex] 247 (in general, "of" always indicates that you should multiply). 17.5% is equal to [tex]17.5/100[/tex], or 0.175.
Therefore, the amount that has been downloaded is 0.175 * 247, which is 43.225 MB. Rounded to the nearest tenth, this is 43.2 MB.
SUppose the total cost C(x) to manufacture a quantity x of insecticide (in hundreds of liters) is given by
C(x) = x^3-27x^2+240x+850.
a. Where is C(x) decreasing?
b. Where is C(x) increases?
Answer:
a) [tex]C(x)[/tex] is increasing in two regions: (i) [tex](+\infty, 8\,s)[/tex] and (ii) [tex](10\,s,+\infty)[/tex].
b) [tex]C(x)[/tex] decreases in [tex](8\,s, 10\,s)[/tex].
Step-by-step explanation:
Let [tex]C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850[/tex], where [tex]x[/tex] is the quantity of insecticide, measured in hundreds of liters, and [tex]C(x)[/tex] is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of [tex]C(x)[/tex] are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:
[tex]C'(x) = 3\cdot x^{2}-54\cdot x+240[/tex] (1)
Please notice that regions where C(x) is increasing has [tex]C'(x) > 0[/tex], whereas [tex]C'(x) < 0[/tex] when [tex]C(x) < 0[/tex].
We notice that [tex]C(x)[/tex] is increasing in two regions: (i) [tex](+\infty, 8\,s)[/tex] and (ii) [tex](10\,s,+\infty)[/tex]. Besides, [tex]C(x)[/tex] decreases in [tex](8\,s, 10\,s)[/tex].
if x satisfies 7x+9=58, what is the value of 7-6x?
Answer:
x=7
Step-by-step explanation:
12x^3-9x^2 factorised
How would you answer this?..
Answer:
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(12 • (x3)) - 32x2
STEP
2
:
Equation at the end of step
2
:
(22•3x3) - 32x2
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
12x3 - 9x2 = 3x2 • (4x - 3)
Final result :
3x2 • (4x - 3)
Sporting Goods sells 10 baseballs for $87.50. Write an equation that you can use to calculate the
cost C for any purchase of baseballs b at
Given: a∥b, m∠1 = 71º Find m∠5, m∠8
Step-by-step explanation:
m <5=71
m <8=109
-------------
Answer:
∠5 = 71°
∠8 = 109°
Step-by-step explanation:
∠1 = 71°
∠5 = 71° (the same as ∠1 = 71°) its a corresponding angle
∠8 = 180 - ∠5
∠8 = 180 - 71
∠8 = 109°
NEED HELP ASAP WILL GIVE BRAINLIEST
Review the diagram.
On a coordinate plane, a ramp is 25 degrees from the x-axis in quadrant 1. An object has a vector labeled 300 pounds.
An object is pulled up a ramp with a 25° incline. The force required to move the object is 300 pounds. What is the component form of the force vector?
(78, 290)
(290, 78)
(127, 272)
(272, 127)
Answer:
D. (272, 127)
Step-by-step explanation:
It's actually not A, I just took the test. The right answer is D.
Answer: D) (272, 127)
Step-by-step explanation: :D
x/5 = 8/9 what is x
Answer:
4.444444
Step-by-step explanation:
Please help, really want to get this done.
Answer:
1. C
2. B
3. A
4. D
is the correct answer
Answer:
1. 1/3 --> all sides in an equilateral triangle are equal, so the constant of proportionality would be 1/3
2. 10/4*9 = 22.5
3. 8/2 = 4
4. c/g = m
solve each equation by finding square roots. If the equation has no real number solution, write no solution. 5z^2-45=0
Answer:
Z = +3
Step-by-step explanation:
3 squared is 9 and 9 times 5 is 45 so 45 minus 45 is zero
Answer:
Z = +or- 3, or Option A, would be the best answer choice out of the ones provided above.
I'm giving everything. The wrong answer will be reported,].
Which Shape is NOT quadrilateral
Answer:
the pentagon (3rd one)
Step-by-step explanation:
definition of a quadrilateral literally means a shape with 4 sides
6 vacas por cada 5 gallinas
Seth has 2 ¾ candy bars to give away. If he gives each person ⅛ of a candy bar, how many people will get candy?
Answer:
22 people
Step-by-step explanation:
Change 2 3/4 into a fraction, 11/4.
Then divide by 1/8
11/4 x 8/1 = 22
Jacob walks 1.250 meters to school every day. How many kilometers does Jacob walk in one week?
HELP ASAP
Answer:
ways and answer are in paper
^^^^^^^
Write the answer in standard form. The line has a slope of -67 and contains the point (-5, -8). g
Given that,
Slope of the line, m = -6/7
It contains the point (-5,-8)
To find,
The equation of line.
Solution,
Use the formula as follows :
y = mx+b
Put x = -5 and y = -8
[tex]-8=\dfrac{-6}{7}(-5)+b\\\\b=-8-\dfrac{6}{7}\times 5\\\\b=-12.28\\\\=-\dfrac{86}{7}[/tex]
So, the equation of line is :
[tex]y=\dfrac{-6}{7}x-\dfrac{86}{7}[/tex]
Math Finals HELPP
Jay has an online biology quiz due every 5 days and an online
math quiz due every 4 days. If both quizzes were due on June
6, when is the next day both quizzes will be due again?
JUNE
Sun
Mon
Tue
Wed
Thu
1
2
Fr Sat
3 4
10 11
17 18
8
9
5
12
7
14
13
15
16
23
19
21
24
20
27
25
22
29
26
28
30
A. June 13
B. June 16
c. June 26
D. June 29
Answer:
June 26th
Step-by-step explanation:
How many millimeters are in 90 ounces? 1 millimeter is 0.3 ounces
Answer:
300
Step-by-step explanation:
Answer:
2,661.6177
Step-by-step explanation:
Plz help me, DUE TODAY
Answer:
-200 ft
Step-by-step explanation:
sea level is 0 ft
Answer:
Its -200ft because sea is 0
Alatio is used to make comparisons between 2 quantities.
O True
O False
Answer: True
Step-by-step explanation:
a small toy car costs $3 a large toy car cost 5 times as much as the small one.
Answer:
$15
Step-by-step explanation:
Good Morning!
If the small toy car costs $3.00, and the large toy car costs 5 times as much as the small one, we can multiply the value of the small car by five to find the value of the large car.
Since five times 3 = 15, the value of the large toy car is $15.00.
~theLocoCoco
7/24.15 what is the anwser?
Answer:
0.28985507246
Step-by-step explanation:
Answer:
if you meant 7 divided by 24.25 your answer would be 20/69 or 0.2898 in decimal form
Step-by-step explanation:
What is the y-intercept when a line has a slope of 1/2 and
passes
through the point (2, -1)?
Answer:
-2
Step-by-step explanation:
y=ax+b
Put the numbers into that equation.
-1=1/2*2+b
Simplify:
-1=1+b
-1-1=b
-2=b
Hope this helped! :)
What is the slope of this graph ?
Answer:
5/2
Step-by-step explanation:
rise/run. the graph rises 5 and over 2 to the next point
A normal population has a mean m=33 and standard deviation s = 9. What is the probability that a randomly chosen value will be greater than 44?
Answer: 0.1112
Step-by-step explanation:
Let X be a random variable .
Given: A normal population has a mean m=33 and standard deviation s = 9.
The probability that a randomly chosen value will be greater than 44 will be :-
[tex]P(X>44)=P(\dfrac{X-m}{s}>\dfrac{44-33}{9})\\\\=P(Z>\dfrac{11}{9})\\\\=P(Z>1.22)\\\\ =1-P(Z<1.22)\\\\=1-0.8888\\\\=0.1112[/tex]
Hence, the probability that a randomly chosen value will be greater than 44 = 0.1112
A normal population has a mean m=33 and standard deviation s = 9. the probability that a randomly chosen value will be greater than 44 is - 28.774%
Given:
mean m=33
standard deviation s = 9
probability = ?
Solution:
(34-39)/9 = -0.5556
which mean
34 is -0.5556 standard deviations from the mean.Using the normal distribution table,P(Z<-0.5556) ≈ 0.28774
or 28.774%
Thus, A normal population has a mean m=33 and standard deviation s = 9. the probability that a randomly chosen value will be greater than 44 is - 28.774%
Learn more:
https://brainly.com/question/475676
Solve the equation for all real solutions.
12v2 + 310 + 20
Answer:
I think I know the answer but what is the v for between the 12 and the 2
Step-by-step explanation:
Answer:
12v² + 330
Step-by-step explanation:
Collect like terms: 12v² + (310 + 20)
Simplify: 12v² + 330
May I please have Brainliest?!!!!
which of the fractions 13/20, 3/5, 3/4 and 7/10 is greatest
Answer:
3/4
Step-by-step explanation:
3/4
We can change all fractions to denominator 20 to easily vary them
13/20=13/20
3/5=12/20
3/4=15/20
7/10=14/20
can u pls help me with this question
Answer:
I think is 2/9 but I may be wrong
3x+y=-8
-2x-y=6
Find X and Y By Substituting
(-2,-2) is the answer .............