If AD = 21, BF = 8, and DF = 8, what is the value of AB?
Answer:
AB would be 21
Step-by-step explanation:
Sides BF and DF equal 8, because triangles BFC and DFC are both right triangles and they have two equal sides (hypotenuses are equal and both triangles share side FC), triangles BFC and DFC are congruent triangles, which means side DC is equal to BC. Since right triangles ADC and ABC share side AC and BC = DC, they are congruent triangles, meaning AB will equal AD, which is 21.
Suppose that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. (Round your answers to four decimal places.) (a) What is the (approximate) probability that X is at most 30
Answer:
0.9726 = 97.26% approximate probability that X is at most 30
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed 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.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).
This means that [tex]p = 0.11[/tex]
Random sample of 200 shafts
This means that [tex]n = 200[/tex]
Mean and Standard deviation:
[tex]\mu = E(x) = np = 200*0.11 = 22[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.11*0.89} = 4.42[/tex]
(a) What is the (approximate) probability that X is at most 30
Using continuity correction, this is [tex]P(X \leq 30 + 0.5) = P(X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30.5 - 22}{4.42}[/tex]
[tex]Z = 1.92[/tex]
[tex]Z = 1.92[/tex] has a pvalue of 0.9726.
0.9726 = 97.26% approximate probability that X is at most 30
Say that a supplier claims they are 99% confident that their products will be in the interval of 50.02 to 50.38. You take samples and find that the 99% confidence interval of what they are sending is 50.01 to 50.39. What conclusion can be made
Answer:
The supplier becomes less accurate than they otherwise would have tried to claim. A further explanation is below.
Step-by-step explanation:
According to the provider, this same width of that same confidence interval would be as follows:
= [tex]50.38 - 50.02[/tex]
= [tex]0.36[/tex]
Depending on the input observed, the width including its confidence interval would be as follows:
= [tex]50.39 - 50.01[/tex]
= [tex]0.38[/tex]
As even the width of that interval again for survey asserted > the width including its confidence interval according to the provider's statement, we could conclude that such is the appropriate reaction.
Which table represent a linear function? Pic attached and I will mark Brainly
Answer:
3 one
Step-by-step explanation:
seems logical hope this helped
What is the value of y?
What is the area, in square inches, of the rectangle
Answer:
Part A: y = 3
Part B: Area = 60 sq units
Step-by-step explanation:
we can create this system of equations from the information given:
8y + 2x = 34
10y + 2x = 40
now we can subtract to get:
-2y = -6
y = 3
solve for 'x':
8(3) + 2x = 34
24 + 2x = 34
2x = 10
x = 5
Area of Rectangle is 12 x 5
From 1999 to 2008, the United States Mint
produced commemorative quarters for each
state in the United States. Each year, quarters for
fi ve diff erent states were circulated to the public,
and many people collected the coins. Steven
wanted to collect these coins, so his uncle gave
him a handful of the state quarters. Steven made
this list of the coins that he was given.
1. Steven put all the coins in his pocket and
pulled one out at random.
a. What is the probability that he selected
a Texas quarter?
b. What is the probability that he selected a quarter minted in 2002?
c. Use the sample space to explain how you determined these probabilities.
Answer:
a. [tex]\frac{2}{13}[/tex]
b. [tex]\frac{3}{13}[/tex]
c. See the step-by-step explanation.
Step-by-step explanation:
A table given by OP
State Year
Tennessee 2002
Tennessee 2002
Ohio 2002
Alabama 2003
Maine 2003
Florida 2004
Florida 2004
Florida 2004
Texas 2004
Texas 2004
California 2005
California 2005
Kansas 2005
a. There are 2 Texas quarters and 13 coins in total, so the probability of selecting a Texas quarter at random is [tex]\frac{2}{13}[/tex].
b. Analagously, the probability is [tex]\frac{3}{13}[/tex], because there are 3 quarters minted in 2002.
c. See a and b.
Cedric multiplied (6x+11) by a second factor to get a product of 36x^2-121. Find the second factor.
Answer:
6x-11
Step-by-step explanation:
36x² - 121 is the difference of squares.
36x² - 121 = (6x+11)(6x-11)
WILL GIVE BRAINLIEST. ARE THOSE EQUATIONS THE SAME
Answer:
no
Step-by-step explanation:
m+m+m = 3m
m+3=m+3
they are not equal
Hope it helps!
Answer:
yes because there is 3 m so m plus 3 is equivalent to it
Step-by-step explanation:
Please help me find the surface area of this shape!
Determine if the following lines are parallel, perpendicular, or neither
y = 6x
- 12x + 2y = -1
Select the correct answer below:
Parallel
O Perpendicular
Neither parallel nor perpendicular
Determine if the following lines are parallel, perpendicular, or neither
y = 6x- 12x + 2y = -1
Select the correct answer below:
Parallel
O Perpendicular
Neither parallel nor perpendicular
Answer:
It's perpendicular
the equation y=36x represents the relationship between x the number of yards and y the number of inches
which ordered pairs represent the number of yards and the number of inches in the given equation? choose all that apply.
Answer: (2,72) (5,189
Step-by-step explanation:
I did the I Ready
Cooper measured the lengths of 10 buttons to the nearest centimeter.The lengths of the buttons were 4,6,4,3,5,6,5,4,3, and 6 centimeters
5) In a classroom, the ratio of boys to girls is 6:7. Select all possible statements that must be true about the classroom. a) There are exactly 6 boys. b) There is exactly 1 more girl than boy. c) The ratio of girls to total students is 7:13. d) The ratio of total students to boys is 13:6. e) The total number of students is a multiple of 13.
100 points I need help
Answer:
D is located at (-5, 2)
Answer:
point D
Step-by-step explanation:
(-5, 2) can be represented as (x, y)
This mean when x = -5, y is = 2
We need to trace the x-axis to -5 and get the corresponding point at y equals to 2
Tracing the point on the graph, we find the point D is at x = -5 and y = 2
Hence, point D is located at (-5, 2)
1. 72% of the students in Math 6 at AZVA are currently mastering their lessons. If 306 students are currently mastering their math lessons, how many students are in Math 6?
Answer:
i need help to yall help usssssssssssssssssssss pls
Step-by-step explanation:
Answer:
306/x = 72/100
72x= 306 x 100
72x = 30600
X = 425
Step-by-step explanation:
Help and i will give brainiest if you answer them all if random will report
Answer:
○ 1. B
○ 2. 146.25
Add the numbers
○3. (-6w) - 8 + 1 (-7w)
(-6w) -7 + (-7w)
Rearrange
(-6w) + -7 + (-7w)
(-6w) + (-7w) - 7
Solution
(-6w) + (-7w) - 7
○4. In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1
Answer:
thank you very much
Step-by-step explanation:
thank you
What’s the distance between -1/2 and 5/4 ?
Answer:
-1.75
Step-by-step explanation:
Answer:
7/4
Step-by-step explanation:
5/4-(-1/2)
5/4+1/2
5/4+2/4
7/4
1 3/4+1/6+____=7 1/2
Plz help
Answer:
7/4 +1/6 +X=15/2
1/6+X=15/2-7/4
1/6+X=30/4-7/4
X=23/4 - 1/6
X= 138-4/24
134/24
5.58333
Step-by-step explanation:
Answer:
6 4/12
Step-by-step explanation:
1 3/ 12+ 1/12 + 6 2/12 = 7 6/12 or 7 1/2
Solve system by using substitution: 5x + 3y = -4
y - 2x = 6
Answer:
x = -11/3, y = -4/3
Step-by-step explanation:
[tex]y-2x=6\\y = 2x + 6[/tex]
[tex]3(2x + 6) = -4\\6x + 18 = -4\\6x = -22\\x = -11/3[/tex]
[tex]3y = -4\\y = -4/3[/tex]
Solve the system of linear equations by substitution.
y = 8x – 6
2x – 4y = 24
What was Dakota’s height?
Answer:Um her height is 5′ 4″
Step-by-step explanation:
Every year, a dog sled race is held in Alaska and is approximately 1,150 miles in distance. Information about the top three racers is
listed below.
• Aaron completed half the race in approximately 4 days, 12 hours.
• Dallas finished the race in approximately 8 days, 18 hours.
• Mitch completed one-quarter of the race in approximately 2 days, 5 hours.
Answer:
Aaron completed the race in 9 days. Mitch finished in the race in 8 days 20 hours. Dallas finished in 8 days 18 hours
Step-by-step explanation:
1. Dallas won the race. 8 days 18 hours
2. Mitch came in second. 2 days 5 hours x 4= 8 days 20
3. Aaron was 3rd. 4 days 12 hours x 2= 9 days
Write 125 as a fraction
reduced to lowest terms.
Answer:
1/8
Step-by-step explanation:
6. Seven-tenth of a number is 28. What is the number? *
Answer:
40
Step-by-step explanation:
28 divided by 7= 4 (to get the number of 1/10)
4 x 10= 40
Answer:
40
Step-by-step explanation:
7/10x = 28
28/0.7 = x
40 = x
2x - 5y + 3z 5x + 9y - 2z
Answer:
3xz5+2x+4y−2z
Step-by-step explanation:
2x−5y+3z5x+9y−2z
=2x+−5y+3xz5+9y+−2z
Combine Like Terms:
=2x+−5y+3xz5+9y+−2z
=(3xz5)+(2x)+(−5y+9y)+(−2z)
=3xz5+2x+4y+−2z
PLEASE HELP AND VERY FAST
Answer:
B
Step-by-step explanation:
I am so sorry if that is incorrect
Find the value of x
Answer:
x = 66
Step-by-step explanation:
Shapes with four sides are always 360 degrees
x + x - 20 + x + 40 + 2x + 10 = 360
combine like terms
5x + 30 = 360
subtract 30 from both sides
5x = 330
divide 5 from both sides
x = 66
Factor the expression completely.
18x2 - 32
3.
The students in a class were surveyed to find out how many people live in their households.
The results of the survey are shown in the dot plot below.
Number of People in Household
What percent of the class has a household of 7 or 8 people?
Answer:
it is number 4
Step-by-step explanation:
2
What is the area, in square centimeters, of the figure below?
2.4 cm
-5.8 cm
A 6.96
B) 10.6
C 13.92
2
D 17.4.
Answer:
area of rectangle=l×b=2.4×5.8=13.92cm²