Answer:
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 3 cm and a standard deviation of 0.04 cm.
This means that [tex]\mu = 3, \sigma = 0.04[/tex]
What is the probability that a bolt has a length greater than 2.96 cm?
This is 1 subtracted by the p-value of Z when X = 2.96. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.96 - 3}{0.04}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.1587.
1 - 0.1587 = 0.8413
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
What is the volume of a rectangular prism
8 inches long, 3 inches wide, and 5 inches high?
A
120 cubic inches
B
220 cubic inches
16 cubic inches
158 cubic inches
Answer:
A; 120 cubic inches
Step-by-step explanation:
Let us start with the formula of the volume of a rectangular prism,[tex]V=l*w*h[/tex], where l represents the length of the prism, w represents the width of the prism, and h represents the height of the prism. It is given to us that h =5 inches, w =3 inches, and l =8 inches. Let's plug the values in:
[tex]V= 8*3*5\\V=120[/tex]
A. The volume of the rectangular prism is 120 cubic inches.
I hope this helps! Let me know if you have any questions :)
why can you use cross products to solve the proportion 18/5 = x/100 for x ?
Answer:
Yes, you can use cross products to solve for x in this proportion. Also, x is 360.
Step-by-step explanation:
Yes, you can use cross products to solve for x in that proportion.
Here's how you do it :
[tex]\frac{18}{5} = \frac{x}{100}[/tex]
We cross product, getting :
18 * 100 = 5 * x
1800 = 5x
Divide by 5 on both sides to get x by itself.
360 = x
Yes, you can use cross products to solve for x in this proportion. Also, x is 360.
Hope this helps, please mark brainliest if possible. Have a great day.
Derek is skiing on a circular ski trail that has a radius of 0.6 km. Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.
a. How many radians does Brian sweep out?
b. When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?
c. When Brian stops skiing, how many km is Brian above of the center of the ski trail?
Answer:
a) Brain sweep out 4 radians
b) Brian is -0.3922 km to the right of the center of the ski trail
c) Brian is -0.4541 km above of the center of the ski trail
Step-by-step explanation:
Given the data in the question;
circular ski trail radius = 0.6 km
Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.
a) How many radians does Brian sweep out?
arc length = 2.4 km
from the diagram;
arc length = rθ
θ = arc length / r
θ = 2.4 / 0.6
θ = 4 radians
Therefore, Brain sweep out 4 radians
b) When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?
from the diagram;
x = rcosθ
we substitute
x = 0.6 × cos(4)
x = 0.6 × -0.65364
x = -0.3922 km
Therefore Brian is -0.3922 km to the right of the center of the ski trail
c) When Brian stops skiing, how many km is Brian above of the center of the ski trail?
from the diagram;
m = rsinθ
m = 0.6 × -0.7568
m = -0.4541 km
Therefore, Brian is -0.4541 km above of the center of the ski trail
Can someone answer these questions for me? (Questions are in the picture)
find the missing angle measure in each triangle. Then classify the triangle as acute, right, or obtuse. PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answer:
40 Right Angle Triangle
Step-by-step explanation:
180-50-90=x
x=40
Right angle triangle
Answer:
40
Step-by-step explanation:
90 + 50 = 140
A triange = 180
A right angle(aka the square) = 90
180 - 140 = 40
x = 40
PLEASE HELP !!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST
Answer:
x = 22
y = 6
Step-by-step explanation:
GIVEN :-
AB ⊥ CF∠ABE = (4y + 2)°∠FBE = (3x - 2)°∠FBD = (5x + 6)°TO FIND :-
The value of x & yGENERAL CONCEPT TO BE USED IN THIS QUESTION :-
Complementary angles :- Two angles are said to be complementary if sum of measure of both angles is equal to 90°. Linear Pair :- Two angles are said to be a linear pair if both the angles lie on a straight line & sum of both angles is equal to 180°.SOLUTION :-
In the figure given in the question , ∠FBE & ∠FBD are linear pair.
⇒ (3x - 2)° + (5x + 6)° = 180°
⇒ 8x + 4 = 180
⇒ 8x = 176
⇒ x = 22°
Also , AB⊥CF.
⇒ ∠ABE & ∠FBE are complementary angles.
⇒ (4y + 2)° + (3x - 2)° = 90°
⇒ 4y + (3×22) = 90 [∵ Putting x = 23]
⇒ 4y + 66 = 90
⇒ 4y = 24
⇒ y = 6
Find the value of x such that l ⊥ m.
Answer:
The answer is 16
Step-by-step explanation:
Hi there!
The angles shown are supplementary
Supplementary angles have a measure of 90 degrees
This means that 3x + 5 + 37 = 90
3x + 5 + 37 = 90
Combine like terms
3x + 42 = 90
Take away 42 from each side
3x = 48
Divide by 3
x = 16
Hope this helps! :)
Answer:
O B) 16
Step-by-step explanation:
90° (total) - 37° = 53°
(3x+5) = 53°
(3x-5) = -5° Subtract 5 from both sides!
3x = 48 Solve
x = 16
Get brainiest if right!!
10 points!!
Answer:
Next three terms 0.28, 0.41 and 0.54
The formula for the nth term of an AP is a+(n-1)d
Divide x3 + 5x2 + 5x – 3 by x + 3
Answer:
[tex]x^{2} + 2x - 1[/tex]
Step-by-step explanation:
We are solving for :
[tex]\frac{x^{3}+ 5x^{2} + 5x - 3 }{x + 3}[/tex]
Factor [tex]x^{3} + 5x^{2} + 5x - 3 : (x + 3)(x^{2} + 2x - 1)[/tex]
[tex]\frac{(x + 3)(x^{2} + 2x - 1)}{x + 3}[/tex]
= [tex]x^{2} + 2x - 1[/tex]
I NEED HELP PLZ, PLZ, I NEED HELP, I AM BEGGING YOU
Answer:
tn = 8n -7
Step-by-step explanation:
given : t2=9, t4=25
the formula is:
tn = t1 + (n-1) d
gonna find d first:
d = (25-9) /(4-2) = 16/2 = 8
and find tn1:
t1 = 9-8 = 1
so, tn = 1 + (n-1) (8) = 1 +8n -8
tn = 8n -7
Answer:
Solution given
n th term[tn]=?
1st term =a
difference =d
we have
t2=9
a+(n-1)d=9
a+(2-1)d=9
a+d=9
a=9-d..................[1]
again
t4=25
a+(n-1)d=25
a+(4-1)d=25
now
substituting value of a
9-d+3d=25
2d=25-9
d=16/2
d=8
substituting value of d in equation 1.
,a=9-8
a=1
we have
tn term =a+(n-1)d=1+(n-1)8=1+8n-8=8n-7
n th term =8n-7
Georgia, a florist, charges $7.95 per flower bundle plus a $12 delivery charge per order. If Charlie orders 8 flower bundles and has them delivered, how much does Georgia charge Charlie?
Answer:
75.6
Step-by-step explanation
HOPE I HELPED ;)
Someone please help with this question, thank you
Answer:
2.4
Step-by-step explanation:
i saw the answeres
Find area of ABC. Plz help !!!
please help me with this i’m begging!!!
Complete the proof.
Answer:
here u go
Step-by-step explanation:
is givenDef of midpointVertical angles theorem SAS1. Given -- that's pretty much always the first step
2. LN=NW, SN=NK. That's the Definition of Midpoint.
3. angle LNS=WNK. That's the Vertical Angles Theorem - vertical angles are congruent.
4. Triangle LNS=WNK. That's SAS, side-angle-side congruence.
Hannah leans a 16-foot ladder against a wall so that it forms an angle of 61° with the
ground. What's the horizontal distance between the base of the ladder and the wall?
Round your answer to the nearest tenth of a foot if necessary.
Answer:
7.8 feet
Step-by-step explanation:
We can determine the Horizontal distance using trigonometry ;
Using the relation :
Cosθ = adjacent / hypotenus
Cos 61 = x / 16
x = cos 61 * 16
x = 0.4848096 * 16
x = 7.756
x = 7. 8 feet
Consider two countries, A and B, whose respective industries produce goods A and B. Total world output of the good is given by Q = 9A + 9B. There is a world demand given by P = 100 – Q. Suppose that the cost function for country A is given by cA (CA) = 89 A while the cost function in country B is given by CB(9B) = 398. The production of the good generates greenhouse gas emissions which cause global climate change. Total world emissions are 0.5 per unit of good, such that total world emissions are 0.5Q. If the two countries' industries compete in a Cournot fashion, what will the total world emissions be? Now suppose country A imposes a tax on A's production of A to curb emissions. Country B, however, is not taxed. A's cost function is now CA(CA) = 492A, while B's cost function is CB(9B) = 493. World demand is P = 99 – Q. The amount of greenhouse gas emissions per unit is still 0.5, such that total world emissions are given by 0.5Q.
What are total world emissions after country A enacts a carbon tax?
Answer: hello your question is poorly written attached below is the complete question
answer :
a) 31.5
b) 24.5
Step-by-step explanation:
Total world output of good given ( Q ) = qA + qB
world demand ( P ) = 100 - Q
cost function for country A = cA (qA) = 8qA
cost function of country B = cB(qB) = 3qB
total world emission = 0.5Q
emission per unit good = 0.5
a) Determine total world emissions when both countries compete in a Cournot fashion
Q = 63
therefore Total world emission = 0.5 ( Q )
= 0.5 ( 63 ) = 31.5
attached below is the detailed solution
b) Determine the total world emissions after Country A enacts a carbon tax
Q = 49
Therefore Total world emission after tax = 0.5 ( Q )
= 0.5 ( 49 ) = 24.5
attached below is the detailed solution
The table of values represents a polynomial function f(x).
How much greater is the average rate of change over the interval [5, 7] than the interval [2, 4] ?
x f(x)
2 230
3 638
4 1048
5 3452
6 4568
7 5002
8 6294
Enter your answer in the box.
Given:
The table of values of the function f(x).
To find:
How much greater is the average rate of change over the interval [5, 7] than the interval [2, 4]?
Solution:
The average rate of change of a function f(x) over the interval [a,b] is:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
The average rate of change over the interval [5, 7] is:
[tex]m_1=\dfrac{f(7)-f(5)}{7-5}[/tex]
[tex]m_1=\dfrac{5002-3452}{2}[/tex]
[tex]m_1=\dfrac{1550}{2}[/tex]
[tex]m_1=775[/tex]
The average rate of change over the interval [2,4] is:
[tex]m_2=\dfrac{f(4)-f(2)}{4-2}[/tex]
[tex]m_2=\dfrac{1048-230}{2}[/tex]
[tex]m_2=\dfrac{818}{2}[/tex]
[tex]m_2=409[/tex]
The difference between the average rate of change over the interval [5, 7] and the interval [2, 4] is:
[tex]Difference=m_1-m_2[/tex]
[tex]Difference=775-409[/tex]
[tex]Difference=366[/tex]
Therefore, the average rate of change over the interval [5, 7] is 366 more than the interval [2, 4].
Answer:
366
Step-by-step explanation:
I took the test lol
In circle Q, the mLKM is 255º. Find the measurement of
Hope this help!!!
Have a nice day!!!
Solve. Use the basic percent equation. 212.5 is 85% of what?
Answer:
250
Step-by-step explanation:
85% · n = 212.5
[convert 85% to .85]
.85n = 212.5
n = 212.5/.85
n = 250
translate the following word phrases into algebraic experessions.
1.seven more than k
2.five added to q
3.three subtracted from m
4.c increased ny 12
5.twice n
6 tons equals how many lbs?
Answer:
12000
Step-by-step explanation:
Done
Answer:
12000 lbs
Step-by-step explanation:
configuration for tons to pounds is by multiplying the tons by 2000 lbs
1 ton = 2000 lbs
6 ton= ?
6 ton x 2000 lbs = 12000 lbs
someone please help! (listing BRAINLIST and giving points) :D
Answer:
opp/adj
havent u pay attention in ur math class?
you will have to find the opp using a^2+b^2+c^2
Step-by-step explanation:
I hope this is help full to you
PLS HELP IM BEING TIMEDWhich of these statements is true? A) 349 > 456 B) 456 < 792 792 < 456 D) 792 > 863
Answer:
B
Step-by-step explanation:
792 is a bigger number than 456
Answer: B
Step-by-step explanation: 792 is larger than 456
In this diagram, a triangular prism is cut by a plane as shown. What is the shape of the cross section?
Answer: it’s a triangle
Step-by-step explanation:
Answer:
triangle
Step-by-step explanation:
5 more than the quotient of 3 and t
Answer and Step-by-step explanation:
[tex]\frac{3}{t}[/tex] + 5
Above is the answer.
#teamtrees #PAW (Plant And Water)
A survey of 423 people shows that 321 have never received a traffic violation. Find the sample proportion of those who have received a traffic violation. *
1 point
A. 13%
B. 24%
C. 32%
D. 76%
T
55
R
45
Find Q.
A. 40°
B. 80°
C. 130°
D. 260°
Answer:
B. 80°
Step-by-step explanation:
55+45=100
180-100=80
Q=80°
How many 34 cup servings of granola can be measured from a box containing six cups of granola?
9514 1404 393
Answer:
8
Step-by-step explanation:
The number of servings can be found by dividing the quantity available by the amount per serving.
(6 cups)/(3/4 cup/serving) = (6)(4/3) servings = 8 servings
I need help, Thank you
Answer:
It should be 33 degrees!
Step-by-step explanation:
This can be found out when we realize that all complimentary degrees add up to 90!
Answer:
33 degrees
Step-by-step explanation:
Linear function please help it’s due in 30 mins