Answer:
29/40
Step-by-step explanation:
1/8 + 3/5 =
We need a common denominator.
8 = 2^3
5 = 5
8 and 5 have no common factors, so the LCD is their product.
LCD = 5 * 8 = 40
1/8 + 3/5 =
= 5/40 + 24/40
= 29/40
Please help me I don’t understand
Answer:
x= 230
Step-by-step explanation:
since a circle is 360 degrees
x + 130 = 360
x= 360 -130
x=230
Select the improper fraction that is not equivalent to the whole number 6
18/3
6/1
54/3
54/9
Answer:
54/3=18
Step-by-step explanation:
18/3=6
6/1=6
54/9=6
Suppose that Stephen is the quality control supervisor for a food distribution company. A shipment containing many thousands of apples has just arrived. Unknown to Stephen, 13% of the apples are damaged due to bruising, worms, or other defects. If Stephen samples 10 apples from the shipment, use the binomial distribution to estimate the probability that his sample will contain at least one damaged apple. Select the true statement.
A. Stephen can use a sample of size 10 to reliably determine if the truck load contains damaged apples.
B. Stephen could use a sample of size less than 10 to reliably determine if the truck load contains damaged apples.
C. Stephen could have used a normal approximation to determine this probability.
D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
E. Stephen should sample with replacement so that the probability is exactly binomial.
Answer:
D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
Step-by-step explanation:
We have probability of having damaged apple = 13%
= 13/100
= 0.13
Sample size n = 10
Using the binomial distribution
P(X=x) = nCx * P^x(1-P)^n-x
Probability sample will have at least one damaged apple
= P(X>=1) = 1-p(x<1)
= 1 - P(X=0)
= 1-(10C0 *P⁰(1-0.13)¹⁰
= 1 - 1(1-0.13)¹⁰
= 1 - 0.87¹⁰
= 1 - 0.2484
= 0.7516
The answer is option D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
Point P is shown graphed on the coordinate grid as (6,4). In relation to point P, point A is located 2 units closer to the origin along the x-axis and 2 units farther from it along the y-axis. What would be the location of point A ?
Answer:
The coordinates of point A are [tex]A(x,y) = (4,6)[/tex].
Step-by-step explanation:
The location of point A is defined by the vectorial sum of absolute coordinates of point P and coordinates of point A relative to coordinates of point P, that is:
[tex]A(x,y) = P(x,y) + \vec v_{PA}[/tex] (1)
[tex]P(x,y)[/tex] - Absolute coordinates of point P.
[tex]A(x,y)[/tex] - Absolute coordinates of point A.
[tex]\vec v_{PA}[/tex] - Vector to point A relative to point P.
If we know that [tex]P(x,y) =(6,4)[/tex] and [tex]\vec v_{PA} = (-2, 2 )[/tex], then the absolute coordinates of point A are:
[tex]A(x,y) = (6,4) +(-2,2)[/tex]
[tex]A(x,y) = (4,6)[/tex]
The coordinates of point A are [tex]A(x,y) = (4,6)[/tex].
Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below. The figure shows a right triangle with legs marked 70 and 24.
Answer:
74
Step-by-step explanation:
Washe
car alone, ustin takes
45 hours
had
takes tos hours.
How
donde long does the car
by
does it take Justin's
hiods?
Washing car alone it takes Justin 4.5 hours. If his dad helps him it takes 1.5 hours. His long does it take Justin’s dad to wash the car by himself?
Answer:
it takes his dad 3 hours
Step-by-step explanation:
4.5-1.5 =3
A rectangle has a base of 4 feet and a height of 30 inches.
What is the area of the rectangle? Choose the correct answer below.
A
4.5 square feet
B
10 square feet
C
46 square inches
D
120 square inches
Solve for n:5*8^3n+1=80
Answer:
8^(3n+1) = 80/5
8^(3n+1) = 16
(2^3)^(3n+1) = 2^4
2^(3*(3n+1) = 2^4
Having same power so;
9n+3 = 4
9n = 4-3
9n = 1
n = 1/9
Helppppppppppp I have 3 minutes
Answer:
It definitely is linear, and it is a straight line
Step-by-step explanation:
Try using desmos, it may help
Answer:
A) it is linear and it is a straight line
Step-by-step explanation:
it is a linear equation. It will be straight
y=mx+b is linear
A scientist measured a museum specimen. She recorded the measurement as 75 centimeters. What could the scientist have been measuring? length of a dinosaur bone
mass of a dinosaur bone
length of a gem
mass of a gem
Answer:
75cm is the measurment
Step-by-step explanation:
It would have had to have been the lenght of the gem because 75cm or 75 centimeters is a measurment not the mass of something. The mass is the amount of matter in an object.
The radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error (in cm2) in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error
On a drive from one city to another, the person averaged 51 mph. If he had been able to average 72 mph, he would have reached his destination 7 hrs earlier. What is the driving distance between one city and the other?
Answer: 1224 miles
Step-by-step explanation:
Given
the average speed of a person is 51 mph
If speed is increased to 72 mph, he would have reached 7 hr earlier
Suppose d and t be the distance and time taken
[tex]\Rightarrow t_1=\dfrac{d}{51}[/tex]
If the speed is 72 mph
[tex]\Rightarrow t_2=\dfrac{d}{72}[/tex]
Also, [tex]t_1-t_2=7[/tex]
[tex]\Rightarrow \dfrac{d}{51}-\dfrac{d}{72}=7\\\\\Rightarrow \dfrac{1}{51}-\dfrac{1}{72}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{24-17}{1224}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{7}{1224}=\dfrac{7}{d}\\\\\Rightarrow d=1224\ miles[/tex]
D
Question 3
3 pts
Zion has 152 shares of company LMN stock. LMN issued dividend payments every
quarter that totaled $1.3 per share for the entire year. The current price for LMN
stock is $34.97 per share. What is the current dividend yield for LMN stock?
and the black flaure the ima Name a possible rotation and the degree in which it turned
Answer is in the file below
tinyurl.com/wpazsebu
Helppp pleaseeee which one
Answer:
Coefficient is your answer
Answer:
3 is a coefficient
Step-by-step explanation:
a constant is a number without a variable and that is unchanging
3 has the variable w attached to it and will change with the value of w
hope this helps <3
Find the coordinates of the point (a, b).
a = ?
(0, 1)
0 1
2
(a, b)
O v2
O v2
2.
1(-1,0)
रा
45°
DONE
(1,0)
b= ?
1
O v2
O v2
2.
Зл
2
(0, -1)
9514 1404 393
Answer:
(a, b) = (√2/2, √2/2) . . . . . choice C in each case
Step-by-step explanation:
The points on a unit circle will not have coordinate values greater than 1 (eliminates √2). The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° are ...
(cos(45°), sin(45°)) = (a, b) = (√2/2, √2/2)
The coordinate of point (a, b) is (√2/2, √2/2)
Coordinate of a point on a circleNote that the points on a unit circle will not have coordinate values greater than 1.
The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° is given according to the coordinate point (cos45, sin45)
a = cos45 = √2/2
b = sin45 = √2/2
Hence the coordinate of point (a, b) is (√2/2, √2/2)
Learn more on unit circle here: https://brainly.com/question/23989157
Help me out thank youuuu sooo much !!!
Answer/Step-by-step explanation:
There are actually two methods that can be used to calculate AC (x):
1. Using Pythagorean Theorem
2. Using Trigonometric Function
1. Using Pythagorean Theorem, we have:
x = √(15² + 20²)
x = √625
x = 25 units
2. Using Trigonometric Function:
Reference angle = 37°
Adjacent = 20
Opposite = 15
Hypotenuse = x
Apply SOH:
Sin 37 = Opp/Hyp
Sin 37 = 15/x
x × Sin 37 = 15
x = 15/sin 37
x = 24.9246021 ≈ 25 units (nearest whole number)
Help asappppp !!!!!!!!
Answer:
None
Step-by-step explanation:
2(x + 10) - 17 = 2x - 2
simplify:
2x + 20 - 17 = 2x - 2
2x + 3 = 2x - 2
subtract 3 from both sides of the equation:
2x = 3x -5
no solution
It’s me again guys!! Can anyone help me please?
Consider the following set of numbers:
{1,2,3,4,5,6,7,8,9, 10}
What is the probability of drawing an even number or a
multiple of 3?
Answer:
0.7
Step-by-step explanation:
2,3,4,6,8,9,10 are the possible choices.
∴P(even no. or multiple of 3)
= 7/10
Answer:
7/10 or 70%
Step-by-step explanation:
1 no
2 yes
3 yes
4 yes
5 no
6 yes
7 no
8 yes
9 yes
10 yes
7/10 are even or multiples of 3, therefore you have a 70% chance of drawing one of them
Question 5. What is the mean of 51, 60, 80, 32, 47, 30 * A.50 B.6 c. 60 D40
Answer:
A (50)
Step-by-step explanation:
Mean is the total numbers added up divided by the # of numbers.
There are 6 numbers.
51 + 60 + 80 + 32 + 47 + 30 = 300
300/6 = 50
Therefore, the answer is A.
Answer:
A
Step-by-step explanation:
Because to find the mean you add up all the numbers.
51+60+80+32+47+30=300
Then your suppose to divide by the sum.
300/6=50
Please need help thank
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
It has the most x's (rolls) compared to the other numbers rolled.
WILL GIVE BRAINLIST PLS HELP Find z. Just write the number. Answer should be a whole number.
Answer:
8
Step by Step Explanation
Answer and Step-by-step explanation:
To find Z, we have to use the trigonometric function of Sine.
The Sine trig function looks like this:
sin(Angle) = [tex]= \frac{opposite.side}{hypotenuse}[/tex]
Plug in the values and solve for z.
[tex]sin(30) = \frac{4}{z} \\\\\\\\\\z = \frac{4}{sin(30)}[/tex]
Plug into a calculator and solve.
We get z to be 8.
#teamtrees #PAW (Plant And Water)
A school has to select one student to take part in a General Knowledge Quiz.Kelly and Rory took part in six trial quizzes. The following lists show their scores.Kelly 28 24 21 27 24 26Rory 33 19 16 32 34 18Kelly had a mean score of 25 with a range of 7.(a) Calculate Rory's mean score and range.(b) Which student would you choose to represent the school? Explain thereason for your choice, referring to the mean scores and ranges.
Geometry Question, Need help. Will give brainliest.
Answer:
i cant see the direction sorry :(
Step-by-step explanation:
please help! I really need it if you can tysm
Answer:
Step-by-step explanation:
Half of the animals are cats. If they take in 5 cats, then the total number of animals is 2×5 = 10.
If they take in 8 animals, the number of cats is ½ of 8 = 4.
If they take in 6 cats, then the total number of animals is 2×6 = 12.
If they take in 16 animals, the number of cats is ½ of 16 = 8.
An elevator has a placard stating that the maximum capacity is 1580 lb-10 passengers. So, 10 adult male passengers can have a mean weight of up to 1580/10 = 158 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 158 lb. (Assume that weights of males are normally distributed with a mean of 160 lb and a standard deviation of 35 lb.) Does this elevator appear to be safe?
Answer:
a) 0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb
b) No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Assume that weights of males are normally distributed with a mean of 160 lb and a standard deviation of 35 lb.
This means that [tex]\mu = 160, \sigma = 35[/tex]
Sample of 10:
This means that [tex]n = 10, s = \frac{35}{\sqrt{10}} = 11.07[/tex]
a) Find the probability that it is overloaded because they have a mean weight greater than 158 lb.
This is 1 subtracted by the pvalue of Z when X = 158. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{158 - 160}{11.07}[/tex]
[tex]Z = -0.18[/tex]
[tex]Z = -0.18[/tex] has a pvalue of 0.4286
1 - 0.4286 = 0.5714
0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb.
b.) Does this elevator appear to be safe?
No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.
solve please
due very soon
need done asap
Answer:
B
Step-by-step explanation:
Both triangles are similar. The similarity ratio between AB and EF is 4, which must mean that FG is BC (60)/4. The area of a rectangle is base x height -> 6.25 x 15 = 93.75 square cm
Hope this helps!
In a local middle school, there are 20 Science teachers, 30 Social
Studies teachers and 600 students. What is the ratio between the number
of Science teachers and the number of students for this school? *
1:12.
1:30
1:35
1:40
Answer:
no of science teachers is 20
no of students is 600
ratio=20/600
=20:600
=1:30
pls give me brainliest
Write two fractions that have a sum of 1 and have different denominators.
Answer:
1/5+8/10=1
Step-by-step explanation:
1/5 = 2/10