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
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
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].
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
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.
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.
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
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?!!!!
I'm giving everything. The wrong answer will be reported,].
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:
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! :)
if x satisfies 7x+9=58, what is the value of 7-6x?
Answer:
x=7
Step-by-step explanation:
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
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
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
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
3x+y=-8
-2x-y=6
Find X and Y By Substituting
(-2,-2) is the answer .............
can u pls help me with this question
Answer:
I think is 2/9 but I may be wrong
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
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
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
^^^^^^^
x/5 = 8/9 what is x
Answer:
4.444444
Step-by-step explanation:
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]
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:
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)
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°
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:
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
Alatio is used to make comparisons between 2 quantities.
O True
O False
Answer: True
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