Answer:
the gcf of 32 and 140 is 4
i hope this helps :)
Th e expert trail is 750 meters longer than the beginner trail. How long is each trail?
do they give the whole amount of both trails together? then someone would be able to answer this so pls add that
Question Help When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 36 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 2 batteries do not meet specifications. A shipment contains 3000 batteries, and 3% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?
Answer:
The probability is [tex]P(X \le 2 ) = 0.9072[/tex]
The company will accept 90.72% of the shipment and will reject [tex](100 -90.72) = 9.2\%[/tex] of the shipment , so many of the shipment are rejected
Step-by-step explanation:
From the question we are told that
The sample size is n = 36
The proportion that did not meet the requirement is [tex]p = 0.03[/tex]
Generally the probability that the whole shipment is accepted is equivalent to the probability that there is at most 2 batteries that do not meet the requirement , this is mathematically represented as
[tex]P(X \le 2 ) = [ P(X = 0 ) + P(X = 1 ) + P(X = 0)][/tex]
=> [tex]P(X \le 2 ) = [ [^{n}C_0 * (p)^{0} *(1-p)^{n-0} ] + [^{n}C_1 * (p)^{1} *(1-p)^{n-1} ] + [^{n}C_2 * (p)^{2} *(1-p)^{n-2} ]][/tex]
Here C stands for Combination (so we will be making the combination function in our calculators )
So
=> [tex]P(X \le 2 ) = [ [^{36}C_0 * (0.03)^{0} *(1-0.03)^{36-0} ] + [^{36}C_1 * (0.03)^{1} *(1-0.03)^{36-1} ] + [^{36}C_2 * (0.03)^{2} *(1-0.03)^{36-2} ]][/tex]
=> [tex]P(X \le 2 ) = [ [1 * 1 * 0.3340 ] + [36* 0.03 *0.3444 ] + [630 * 0.0009 *(0.355 ]][/tex]
=>[tex]P(X \le 2 ) = 0.9072[/tex]
The company will accept 90.72% of the shipment and will reject [tex](100 -90.72) = 9.2\%[/tex] of the shipment , so many of the shipment are rejected
If the cosmic radiation to which a person is exposed while flying by jet across US is a random variable having mean 4.35 mrem and standard deviation 0.59 mrem,find the probabilities that the amount of cosmic radiation to which a person will be exposed on such a flight is:_______
(a) Between 4.00 and 5.00 mrem
(b) At least 5.50 mrem
(c) Less than 4.00 mrem
Answer:
a
[tex]P(4.00 < X < 5.00) = 0.58818 [/tex]
b
[tex]P(X \ge 5.5) = 0.02564 [/tex]
c
[tex]P(X < 4 ) = 0.27652[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 4.35[/tex]
The standard deviation is [tex]\sigma = 0.59[/tex]
Generally the probability that the amount of cosmic radiation to which a person will be exposed on such a flight is between 4.00 and 5.00 mrem is mathematically represented as
[tex]P(4.00 < X < 5.00) = P(\frac{ 4 - \mu }{\sigma} < \frac{X - \mu}{\sigma} < \frac{ 5 - \mu }{ \sigma} )[/tex]
Here [tex]\frac{X - \mu}{\sigma} = Z (The \ standardized \ value \ of \ X )[/tex]
=> [tex]P(4.00 < X < 5.00) = P(\frac{ 4 - 4.35 }{0.59} < Z < \frac{ 5 - 4.35 }{ 0.59} )[/tex]
=> [tex]P(4.00 < X < 5.00) = P(-0.59322 < Z < 1.1017 )[/tex]
=> [tex]P(4.00 < X < 5.00) = P( Z < 1.1017 ) - P(Z < -0.59322) [/tex]
From the z -table the probability of ( Z < 1.1017 ) and (Z < -0.59322) are
[tex]P( Z < 1.1017 ) =0.8647[/tex]
and
[tex]P( Z < -0.59322 ) =0.27652[/tex]
So
=> [tex]P(4.00 < X < 5.00) = 0.8647 - 0.27652 [/tex]
=> [tex]P(4.00 < X < 5.00) = 0.58818 [/tex]
Generally the probability that the amount of cosmic radiation to which a person will be exposed on such a flight is At least 5.50 mrem is mathematically represented as
[tex]P(X \ge 5.5) = 1- P(X < 5.5)[/tex]
Here
[tex]P(X < 5.5) = P(\frac{X - \mu }{\sigma} < \frac{5.5 - 4.35}{0.59} )[/tex]
[tex]P(X < 5.5) = P(Z< 1.94915) [/tex]
From the z -table the probability of (Z< 1.94915) is
[tex]P(Z< 1.94915) = 0.97436[/tex]
So
[tex]P(X \ge 5.5) = 1- 0.97436[/tex]
=> [tex]P(X \ge 5.5) = 0.02564 [/tex]
Generally the probability that the amount of cosmic radiation to which a person will be exposed on such a flight is less than 4.00 mrem is mathematically represented as
[tex]P(X < 4) = P(\frac{X - \mu }{\sigma} < \frac{4 - 4.35}{0.59} )[/tex]
[tex]P(X < 4) = P(Z< -0.59322) [/tex]
From the z -table the probability of (Z< 1.94915) is
[tex]P(Z< -0.59322) = 0.27652[/tex]
So
[tex]P(X < 4 ) = 0.27652[/tex]
Which of the following is a true statement about the triangles shown on the graph?
The slope of the smaller triangle is smaller than the slope of the larger triangle
The slope of the larger triangle is larger than the slope of the smaller triangle.
The triangles are congruent triangles.
The slopes of the two triangles are the same.
The correct statement about the triangles shown in the graph is given as follows:
The slopes of the two triangles are the same.
How to obtain the slope?Considering a graph, a slope is calculated as the division of the vertical change by the horizontal change.
For the smaller triangle, we have that:
The vertical change is of 2.The horizontal change is of 2.Hence the slope is of:
m = 2/2
m = 1.
For the larger triangle, we have that:
The vertical change is of 3.The horizontal change is of 3.Hence the slope is of:
m = 3/3.
m = 1.
Meaning that they have the same slope.
More can be learned about slope at https://brainly.com/question/24808124
#SPJ1
Chapter 4
Solve.
1. Two trains leave a station at the same time, heading in opposite directions.
One train is traveling at 80 km/h, the other at 90 km/h. How long will it
take for the trains to be 425 km apart?
Answer:
8850
Step-by-step explanation:
coz the train goes too slowly and lazy
PLEASE MARK ME AS BRAINLIEST
What kind of lines are shown?
Answer:
vertical and horizontal
HELP ASAP IT'S AN EMERGENCY
Find the value of x.
(5x-11)
V
(3x - 7)º
Answer:
1222222+1222222
Step-by-step explanation:
and then add doodod
Hannah wants to buy a $460 camera. She can save $35 each week from her paycheck. However, before Hannah can buy the camera, she must give her brother $65 that she owes him. For how many weeks will Hannah need to save before she can pay back her and buy the camera?
Answer:
460+65=525/35=15 15 weeks
15 tens 7 ones what is the answer?
Answer:
157
Step-by-step explanation:
Answer: 15 tens and 7 ones in standard form would be 157. If you have 15 tens this means that you are adding 10, 15 times or multiplying 10 by 15, which gives you 150.
Step-by-step explanation: Hopefully this helped!
The set A = {1, 3, 5}. What is a larger set this might be a subset of?
Answer:
Step-by-step explanation:
A larger set that a particular set can be a subset of is a Universal set. A universal set is parent where all other sets are derived from.
For example, given a universal set U = {1,2,3,4,5}, a set A = {1, 3, 5} is said to be a subset of the set U because the elements of set B are contained in the Universal set U.
Also, sets like {1, 4,5} and {3,4,5} can also be regarded as the subset of U since all the elements of the sets can be found in the Universal set U. Hence the correct name of the set is a UNIVERSAL SET
So, the number of maximum subsets we can create from the given set is 8.
Subsets:The subsets of any set consists of all possible sets including its elements and the null set. Let us understand with the help of an example.
Example: Find all the subsets of set A = {1,2,3,4}
Solution: Given, A = {1,2,3,4}
Subsets =
The subsets of any set consisting of all possible sets including its elements and the null set. Let us understand with the help of an example.
Example: Find all the subsets of set A = {1,2,3,4}
{}
{1}, {2}, {3}, {4},
{1,2}, {1,3}, {1,4}, {2,3},{2,4}, {3,4},
{1,2,3}, {2,3,4}, {1,3,4}, {1,2,4}
{1,2,3,4}
So, the formula is [tex]2^n[/tex].
The given set is,
[tex]A = \{1, 3, 5\}[/tex]
Here the number of an element is 3.
So, the maximum number of subsets we can create is,
[tex]2^n=2^3=8[/tex]
Learn more about the topic Subsets:
https://brainly.com/question/17514113
Help with this one please
Answer:
(3x - 14) (2x - 7)
I hope this helps!
What is the value of sin-1(1)?
The value of sin^(-1) 1 is; π/2
We want to find the value of sin^(-1) 1Now, when using trigonometric functions, we know that; If sin θ = x Then; θ = sin^(-1) xNow, we want to find the angle.We know that in radians the value of θ at which sin θ = 1 is; π/2 radians
Thus; sin^(-1) 1 = π/2
Read more about trigonometric angles at; https://brainly.com/question/22591162
Which rational number equals 0 point 4 with bar over 4?
==============================================
Work Shown:
[tex]x = 0.\overline{4}\\\\x = 0.4444\ldots\\\\10x = 4.4444\ldots\\\\10x-x = 4.4444\ldots-0.4444\ldots\\\\9x = 4\\\\x = \frac{4}{9}\\\\\frac{4}{9} = 0.\overline{4}= 0.4444\ldots\\\\[/tex]
The idea is that when we subtract 10x and x, the infinite decimal pattern (the 4s that go on forever) will cancel. That leads to 9x = 4 which solves to x = 4/9
Explain how solving -7y > 161 is different from solving 7y > -161.
Answer:
When the coefficient (number before the variable) is negative, you have to switch the inequality symbol after you divide.
Answer:
EDGE 2020
Step-by-step explanation:
Sample response: Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>
The figure shows the design of a greenhouse with a rectangular floor. The front and back sides of the greenhouse are semicircles with a diameter of w and the roof is half a cylinder. Consider greenhouse A with floor dimensions w=16 feet and l =18 feet.
A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concrete are needed for the floor?
9514 1404 393
Answer:
96 cubic feet
Step-by-step explanation:
A volume that is 16 ft by 18 ft by 1/3 ft will be ...
V = LWH
V = (16 ft)(18 ft)(1/3 ft) = 96 ft³
96 cubic feet of concrete are needed.
3x - 5 = 2x + 10
What’s the value of x
Answer:
x = 3
Step-by-step explanation:
braniest pls
Answer:
x=3
Step-by-step explanation:
-5 +10
+5=15
+5=0
3x, 2x
+2 -2
5x=15
_ _
x=3
Julie earned $130 one week and $125.50 the next week. After depositing these amounts in her account, she had a total of $335.
How much was already in her account before she deposited the $130 and $125.50?
Answer:
she had more than me
Step-by-step explanation:
Answer: $79.50
Step-by-step explanation:
Add together $130 and $125.50 to find out how much she deposited.
$130+125.50=$255.50
Now subtract the amount that was deposited from the total amount in her account.
$335−$255.50=$79.50
Gwendolyn was physically present in the United States for 96 days in 2019, 198 days in 2018, and 66 days in 2017. Under the substantial presence test formula, how many days is Gwendolyn deemed physically present in the United States in 2019 g
Answer:
173 days
Step-by-step explanation:
The formula for substantial presence test is;
SBT = (Total of number of days present in the current tax year) + (1/3)(number of days in the year that was before the tax year) + (1/6)(number of days in the year that was two years before the tax year)
From the question, present tax year is 2019 and number of days is 96 days.
Year before tax year is 2018 and number of days is 198 days
2 years before tax year is 2017 and number of days is 66 days.
Thus;
SBT = 96 + ((1/3)198) + ((1/6)66)
SBT = 173 days
Can you please simplify c5 x c
Answer:
5c^2
Step-by-step explanation:
i think c is a variable so,
5xcxc = 5c^2
Solve x2 - 4x + 1 = 0.
x= 2 + 2i15
x = 4+ V3
x = 2/3
x= -2-3
Answer:
x = 2 ± √ 3
Step-by-step explanation:
PLEASE HELP
For spirit week at a local high school, students were encouraged to wear their school colors of green and white. 1,200 students wore their school colors while 300 students did not wear green and white. What percent of the school population did NOT wear their school colors?
Here are the answer choices
A.
15%
B.
20%
C.
25%
D.
33%
Answer:
C. 25% The correct answer is C. 300 divided by 1200 equals 25%.
Step-by-step explanation:
Answer:
B.) 20%
Step-by-step explanation:
First, add 1,200 and 300. That gives you 1,500. You want to find how much percent of 1,500 equals 300, and that is 20%.
What is the answer for number 12
A journalist interviews 123 people after they leave a restaurant and asks them how confident they are that the food is safe.
Answer:
what do I need to do to answer
Step-by-step explanation:
7 days left until launch of products with $668 left in budget. Need to spend $85 on last day. How many dollars do we spend on remaining days?
Answer:
In total, you have $668.00.
To reserve enough for the last day, you need to subtract the last day's budget:
This means that, for the remaining 6 days in the week, you have $583.00.
Assuming an equal amount is being spent each day, you can calculate the daily budget by dividing the remaining total by the number of days left.
To avoid going over budget, you can spend $97.16 per day for the other six days.
Hope this helps!
Step-by-step explanation:
Paul and Seth know that one point on the line
Answer:
what
Step-by-step explanation:
Which of the following expressions is equal to 4+3(x-2)?
Answer:
i believe it is "3x+2"
Explanation:
first you distribute the 3 to the expression in the parenthesis and you get "3x-6" and add the +4 to the end of that expression and you get "3x-6+4" add "-6+4" and you get "-2" and then you get "3x--2"since a subtraction sign and a negative sign make it be addition you get the expression "3x+2"
19. passes through (1, 4) and (-1, 1)
Answer:
y = 3/2x + 2.5
Step-by-step explanation:
Use this formula to find the slope. y2-y2/x2-x1
Plug in
1-4/-1-1= -3/-2 = 3/2
So the slope is 3/2
To find the y-intercept use one of the points you were given. (1,4)
Plug in (1,4)
4 = 3/2(1) + b (b is the y-intercept)
4 = 3/2 + b (minus 3/2 on both sides)
2.5 = b or 5/2 = b
y = 3/2x + 2.5
Every Sunday, Tamika sells pieces of homemade fudge at a local carnival. Each piece of fudge weighs 34 pound. Next Sunday, Tamika plans on
bringing 712 pounds of homemade fudge to sell.
How many pieces of fudge will Tamika be able to sell at the carnival next Sunday?
Answer:
hshshshshshshshsiqkZjfdudiodjfhfbbxdudijdd
To visit the top of the Empire State building , a ticket in 1999 cost four dollars , in 2019 the same ticket cost $32 ,what was the percentage change in the cost of the ticket ?
Answer:
700%
Step-by-step explanation:
The formula to find the percentage is found below =
[tex]\frac{changeinvalue}{absolutevalueoftheoriginalvalue} * 100[/tex]
So to find the change in value, we must subtract 32 from 4, which gets us -28.
We know the og value already, 4 dollars.
So do the division
[tex]\frac{-28}{4} =-7[/tex]
Now the multiplcation,
-7 * 100
-700
700%