Solve the problem. Use the Central Limit Theorem. (7) 6) The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches
Answer:
The answer is "0.9192".
Step-by-step explanation:
[tex]\mu=109\\\\\sigma=10\\\\n=25\\\\\to P(\bar{x}< 111.8)=P(\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} < \frac{111.8-109}{\frac{10}{\sqrt{25}}})\\\\[/tex]
[tex]=P(2<1.4)\\\\=\phi (1.4)\\\\=0.9192[/tex]
please help asap !!!!
Answer:
P = 3/8
q = 1/2
Step-by-step explanation:
(3/8)^3/8 × (3/8)^1/8 = P^q
Because of the same base, pick one of the bases
Then, add the powers
(3/8)^3/8 × (3/8)^1/8 = P^q
= (3/8)^3/8 + 1/8
= (3/8)^(3+1)/8
= (3/8)^4/8
= (3/8)^1/2
Therefore,
P^q = (3/8)^1/2
Where,
P = 3/8
q = 1/2
P^q = (3/8)^1/2
= √(3/8)
Can somebody tell me exactly what to put in the answer please
Answer:
I am sorry I don't know it, but once I find out I will tell you
Step-by-step explanation:
Answer:
Cylinder has no sharp points but cone as sharp edge.
27leejaey avatar
I hope that helps :D
Step-by-step explanation:
Cylinder has no sharp points but cone as sharp edge.
27leejaey avatar
I hope that helps :D
Which expressions are not equivalent
? Thanks!
Answer:
D
Step-by-step explanation:
There is no 2x in D answer
what's the answer to this? (freckle)
Answer:
2/3
Step-by-step explanation:
All I need is for someone to explain how you get this answer !!
(The answer is the bottom part)
WILL MARK BRANLIEST
Answer:
THATS EASY HAHA JJUST DOWNLOAD THIS APP MATHSOLVER ITS EFFECTIVE
Step-by-step explanation:
HOPE IT HWLPS
A janitor can clean 1/9 of a stadium in 1/3 of an hour. If he continues at this rate how much of the stadium can he clean pre hour
g(x)=2x
h(x)=4x-3
Find (g-h)(2)
Answer:
-1
Step-by-step explanation:
g(x) = 2x
h(x) = 4x - 3
(g - h)x = g(x) - h(x)
g(x) - h(x) = 2x - 4x + 3
g(2) - h(2) = 2*2 - 4*2 + 3
g(2) - h(2) = -4 + 3
g(2) - h(2) = - 1
PLEASE HELP! I WILL GIVE BRAINLIEST! Determine whether the statement is always, sometimes, or never true.
13. If a triangle is acute triangle, then it is an equilateral triangle.
14. If a triangle has two acute angles it must be an acute triangle. 15.An obtuse triangle can have a right angle.
Answer:
Step-by-step explanation:
13. All equilateral triangles are acute triangles. An equilateral triangle has three sides of equal length and three equal angles of 60.~ I think it is False.
14. If a triangle has two acute angles, then the third angle must also be acute.~ I think it is true.
15. A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute. Therefore, an obtuse-angled triangle can never have a right angle; and vice versa. ~I think it is false.
Please don't trust me... I hope I helped
~LampteyJ
A BIT OF HELP HERE- PLEASEE
Answer:
Solution given:
G=-17
H=5
distance =-17-5=-22
since distance is always positive so
distance between GH: 22 units.
Location
G=-17H=5Find distance
|-17-5||-22|22unitsWhich ordered pair is a solution to the equation? y=x3/4
(8, 6)
(−8, 8)
(6, 8)
(−4, 1)
Answer:
(8,6)
Step-by-step explanation:
y=x3/4
y=8(3/4)
y=24/4
y=6
when you input 8 for x, you get 6 for y.
Answer:
Step-by-step explanation:
y = x3/4 is ambiguous. I will assume that you meant
x^3
y = ---------
4
Then, if x = 8, y = 128 (not a solution)
If x = -8, y = -128 (not a solution)
If x = 6, y = 54 (not a solution)
If x = -4, y = -1/4 (not a solution)]
Ensure that you have copied down this problem correctly.
If one data point is 36, which point would make 48 the mean?
Pleaseee Help
What is the area of the shaded sector?
Answer:
40π
Step-by-step explanation:
∅ = 360 - 135 = 225
a = (∅/360) * π * r²
a = (225/360) * π * 8²
a = 40π
7
Identify the vertex, axis of symmetry,
and y-intercept.
f(x) = -1 (x + 4)2 – 5
Vertex:
Axis of symmetry:
y-intercept:
HURRY!!!!!!!!!!!!!!!!!! A stack of cards contains 21 red cards and 17 black cards. what are the odds against drawing a red card? a.17:21 b. 21:17 c. 17:28 D.28: 17
Answer:
the answer should be ( b ) if I did this correctly
neeeeeeeeeeeeed help
Answer:
[tex]\huge\boxed{\fcolorbox{green}{pink}{Answer}}
[/tex]
D. 34 lakh
An online furniture store sells chairs for $200 each and tables for $500 each. Every day, the store can ship no more than 29 pieces of furniture and must sell at least $8800 worth of chairs and tables. If 14 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answer:
12, 13 ,14 ,15
Step-by-step explanation:
200x14=2,800
8,800-2,800=6,000
6,000/500=12
12+14=26
13+14=27
14+14=28
14+15=29
Corny the jet pilot heads his jet due cast. The jet has a speed of 440 mph relative to the
air. The wind is blowing due north with a speed of 35 mph.
(a) Express the velocity of the wind as a vector in component form.
(b) Express the velocity of the jet relative to the air as a vector in component form.
(c) Find the true velocity of the jet as a vector,
(d) Find the true speed and direction of the jet.
Identify the following fractions as either proper or improper. 8. 14⁄ 15
Answer:
proper I believe if I'm wrong sorry
What is the perimeter of DEFG if D is located (1,2), E is located (2,6), F is located (6,7), G is located (5,3)?
Answer:
B.
Step-by-step explanation:
First find the lengths of the DE and DG
DG=
[tex] \sqrt{(5 - 1) {}^{2} + (3 - 2) {}^{2} } \\ \sqrt{4 {}^{2} + 1 {}^{2} } \\ \\ \sqrt{16 + 1} \\ \sqrt{17} [/tex]
DE=
[tex] \sqrt{(2 - 1) ^{2} + (6 - 2) {}^{2} } \\ \sqrt{1 {}^{2} + 4 {}^{2} } \\ [/tex]
[tex] \sqrt{17} [/tex]
Since both lengths are same that's means all the lengths are same. To find perimeter we need to add all the sides
[tex] \sqrt{} 17 + \sqrt{} 17 + \sqrt{} 17 + \sqrt 17 \\ 4 \sqrt{17} [/tex]
Write an equation in slope-intercept form for the following line:
(-14,1) and (13,-2)
Answer:
[tex] \large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]
Step-by-step explanation:
In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
m-term is defined as slope in y = mx+b form which is slope-intercept form.
Now we substitute these ordered pairs (x, y) in the formula.
[tex] \large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }[/tex]
After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is
[tex] \large \boxed{y = mx + b}[/tex]
We already know m-value as we substitute it.
[tex] \large{y = - \frac{1}{9} x + b}[/tex]
We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)
We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.
[tex] \large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}[/tex]
Finally, we know b-value. Then we substitute it in our equation.
[tex] \large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]
Triangle ABC is shown on the grid. What is the perimeter of triangle ABC? A(-1,5) B (4, 5) C (-1,1). A 9+ sqr21 units. B 9+sqt29 units. C 9+ sqr41 units. D 9+ sqr61 units
Answer:
C, 9+ the square root of 41
Step-by-step explanation:
got it right on edge :)
Cast Iron Company, on each nondelinquent sale, receives revenues with a present value of $1,230 and incurs costs with a value of $1,065. Cast Iron has been asked to extend credit to a new customer. You can find little information on the firm, and you believe that the probability of payment is no better than 0.77. But if the payment is made, the probability that the customer will pay for the second order is 0.94. It costs $15.25 to determine whether a customer has been a prompt or slow payer in the past.
Calculate the minimum probability at which credit can be extended. (round answer 2 decimal places)
Answer:
[tex]P=0.866[/tex]
Step-by-step explanation:
From the question we are told that:
Present value of iron [tex]x_v=\$1230[/tex]
Present cost of iron [tex]x_c=\$1065[/tex]
Probability of payment [tex]P_p=0.77[/tex]
Probability that the customer will pay for the second order [tex]P_s=0.94[/tex]
Cost of knowing customer status [tex]x_k=\$15.25[/tex]
Generally the equation for Expected probability [tex]E_p[/tex] is mathematically given by
[tex]E_p=(probability*(revenue-cost)-(1-probability)*present\ value\ of\ cost)[/tex]
[tex]E_p=(P*(x_v-x_c)-(1-P)*X_c)[/tex]
Where
[tex]E_p=0[/tex]
[tex]P=minimum\ probability\ at\ which\ credit\ can\ be\ extended[/tex]
Therefore
[tex]0=(P*(1230-1065)-(1-P)*1065)[/tex]
[tex]165P-1065+1065P=0[/tex]
[tex]P=\frac{1065}{1230}[/tex]
[tex]P=0.866[/tex]
Therefore the minimum probability at which credit can be extended is given as
[tex]P=0.866[/tex]
[tex]P=86.6\%[/tex]
16+8+4+2+1+1/2+1/4+1/8+....
Find the sum of the infinite geometric series.
Answer:
31 7/8
16+8=24
4+2=6
2/4+1/4=3/4+1/8=7/8
Pam says that the temperature of liquid drops more in the first three minutes of cooling then it does between time nine minutes and time 12 minutes. Is pam correct give a reason for your answer
Answer:
Pam is correct!
Step-by-step explanation:
Pam is correct it would be between nine minutes and 12!
Amys older brother works 35 hours each week. if he works 18 dollars an hour how much does he earn in one week.
Answer:
$630 per week
Step-by-step explanation:
I assume the question is asking:
Amy's older brother works 35 hours per week. If he is paid $18 per hour, how much does he earn in one week?
$18/hour* 35 hours/week = $630/week
f(x) = - 2x - 3
g(x) = 3x + 1
Find (f. g)(x).
15. Two samples of 126 people were surveyed
online and were asked, "Which is your favorite
flavor of drink?" The results are displayed below
Which choice is an inference that can be made
based on the survey results?
A More people prefer Grape over Orange
B Grape is preferred 18 to lover Cherry
C Cherry is preferred 26 to lover Tropical
Punch
D Sixteen times as many people prefer Orange
over Cherry
Answer:
Step-by-step explanation:
It’s b
Carl bought 24 daisies and roses. Daisies cost $0.25 each and roses cost $0.90 each. If
Carl spends a total of $16.40, how many daisies did he get and how many roses did he
get?
Answer:
Roses= $8.4
Daises= $15.6
Step-by-step explanation:
Let represent the daises and let r represent d roses
r + d= 24....equation 1
0.25r + 0.90d= 16.40.......equation 2
r= 25-d
Substitute 25-d for r in equation 2
0.25(25-d) + 0.90d= 16.40
6.25-0.25d+0.90d= 16.40
6.25+0.65d= 16.40
0.65d= 16.40-6.25
0.65d= 10.15
d= 10.15/0.65
d = 15.6
Sub 15.6 for d in equation 1
r+d= 24
r+15.6= 24
r= 24-15.6
= 8.4
Price of daises is $15.6
Roses is $8.4
What is the mode of the data below?
45, 19, 23, 67, 28, 35, 46, 21, 58, 60, 23, 51
Answer:
23
Step-by-step explanation:
have a good day :)