Answer:
1.) a=600
2.)b=8.5
3.)c=1
4.)d=163.500
5.)e=0.1
6.)f=20
7.)g=0.010
8.)h=-36
Step-by-step explanation:
Given: 33 + 6p = 2(p-1) - 3p
Prove: p = -5
Answer:
Let us prove that p=-5
33+ 6p= 2p-2-3p33+6p= -1p-2 33+7p=-2 7p=-35 p=-533 + 6 x -5 = 2(-5 - 1) - 3 x -5
3 = 3
A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)
Answer:
0.0025 = 0.25% probability that both are defective
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
5 percent of these are defective.
This means that [tex]p = 0.05[/tex]
If two items are randomly selected as they come off the production line, what is the probability that both are defective
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]
0.0025 = 0.25% probability that both are defective
How would I prove KM = HM?
Given that GJ is the perp bisector of HK
Answer: See step by step
Step-by-step explanation:
Since GJ is the perpendicular bisector of HK it bisects HK and make J the midpoint of HK. Since J is the midpoint we can construct a congruence statement of KJ≅JH. Then we know in the diagram Angle MJK= 90°, becuase it form a ⊥ line so it is 90° that also means MHJ forms a 90 ° angles becuase they also form a ⊥ line. So that means KJM≅HJM because of transitive property(a=b, b=c, then a=c). Both triangles also include side MJ, so using the reflexitive property( a=a),They are congruent. Since we proved they have a two congruent sides, with a included angle in between them we can use the SAS theorem (Side-Angle-Side) to prove they are congruent. So ΔKMJ≅ΔHMJ Then KM=HM by CPCTC.
7)
Which of the following points would fall on the line produced by the point-slope form equation y - 6 = 7(x + 4) when graphed?
(2, 20)
(-3, 13)
(0, -34)
(-1, 28)
Answer:
b (-3,13)
Step-by-step explanation:
simplify the equation into slope intercept form (y=mx+b) and then graph it
What are the angles sizes
There are 600 members of a sports club.
The ratio of men to women is 2:3
1/4 of the men are under 30 years old
20% of the women are under 30 years old
HOW MANY MEMBERS ARE OVER 30?
9514 1404 393
Answer:
468
Step-by-step explanation:
Men:
(3/4)(2/5)(600) = (6/20)(600) = 6(30) = 180 men over 30
Women:
(4/5)(3/5)(600) = (12/25)(600) = 48(6) = 288 women over 30
The total number of members over 30 is ...
180 +288 = 468 . . . members over 30
Hi, Which angles are supplementary??????
Why is 2/10 equivalent to 1/5?
Answer:
If you divide both top and bottom of [tex]\frac{2}{10}[/tex] by 2, you get [tex]\frac{1}{5}[/tex]
Answer:
because you have to find common denominators
2/10= 1/5
2/10= 1x2/5x2
Whatever you do to the bottom, you do to the top so that is why i also multiplied the numerator by 2.
2/10=2/10
Hope it helped!! Pls mark brainliest :)) Have a good day
Step-by-step explanation:
Drag each expression to show whether it is equivalent to 6(4x−1), 24x+6, or (4⋅6x)+(4⋅2) somebody please help me i need to get this right
1.We have to find equivalent expression of ⇒ 54 x+18
These are the equivalent expression of
=3×3×3×2× x+3×3×2
=3×3×2×(3 x+1)
=18×(3 x+1)
2.⇒Equivalent expression of→ 18×(3 x-1)
=18× 3 x -18------[Using commutative property of Multiplication with respect to subtraction)
=54 x-18
3.⇒Equivalent expression of→6×9 x+ 6×1
=54 x +6
⇒Option B
6×9 x +6×3-------equivalent expression of →54 x+18
⇒Option C
54 x+6-------equivalent expression of →6×9 x+ 6×1
⇒Option D
3×(18 x+2)------equivalent expression of →6×9 x+ 6×1
⇒Option F
9×6 x -9×2-------equivalent expression of → 18×(3 x-1)
(credit to: not me-)
Answer:
wrong question i'm sorry, but I can't delete this lol so here's my question :(
Drag each expression to show whether the expression is equivalent to 12x−6, 24x+12, or neither.
can someone solve this for me please, i really need help
Answer:
I sorted them by colors: red goes with red, blue with blue, purple with purple and brown with brown :))
Step-by-step explanation:
11
12
What is that fraction decimal
Answer:
0.91666666666...
Elizabeth raises chickens and sells the eggs to a local supermarket. The supermarket pays $0.85 for every dozen eggs. How much money could Elizabeth expect to earn in a week if her chickens lay, on average, 51 dozen eggs per week?
Answer:
On average, Elizabeth will earn $43.35 per week if her chickens lay 51 dozen per week.
Step-by-step explanation:
0.85x
x represents how many dozens
0.85(51) = 43.35
What is the value of the 5 in 564,242?
Answer:
500,000
Step-by-step explanation:
the value of 5 in the number 56242 is 500,000 or hundred thousand. to know the value of digit 5 in the number 564242 go to five the digit 5 and write zeroes after it.
have a wonderful day
Solve g(x) = 22 + 12x – 5. Submit the sum of your solutions
Answer:
-17/11
Step-by-step explanation:
Given that WXYZ is a rectangle and ZY=2x + 3, and WX=x +4, then WX=
Answer:
7
Step-by-step explanation:
Answer:
WX = 5
Step-by-step explanation:
2x + 3 = x + 4
x = 1
WX = 2(1) + 3 = 5
The line shown the line of best fit. The slope should and the y-intercept should
the line shown ISN'T the line of best fit. The slope should INCREASE and the y-intercept should REGRESS.
The line shown is not the line of best fit. The slope should increase and the y-intercept should regress.
We have given the graph of the regression line.
What is the graph of the regression line?
Regression lines can be used as a way of visually depicting the relationship between the independent (x) and dependent (y) variables in the graph.
A straight line depicts a linear trend in the data
Therefore, from the graph, we can conclude that,
The line shown is not the line of best fit.
The slope should increase and the y-intercept should regress.
To learn more about the regression line visit:
https://brainly.com/question/26059078
Write a division equation that represents the question: how many 3/8s are in 5/4
Answer: 1
Step-by-step explanation: 3/8 = 24 5/4= 20
Which postulate proves these two
triangles are congruent?
A. HL
B. SSA
C. SAS
D. None, not congruent
SAS is the postulate that establishes the congruence of these two triangles.
What is meant by triangle?The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. 180 degrees is the sum of the triangle's three angles. According to the Angle-Side-Angle Postulate (ASA), if two angles from one triangle and its included side are congruent with two angles from another triangle and its included side, then the two triangles are congruent. Three sides and three vertices make up a triangle, which is a polygon. There is a 180 degree angle created inside the triangle. In other words, a triangle's internal angles add up to 180 degrees.To learn more about triangle, refer to:
https://brainly.com/question/17335144
#SPJ1
Zack and Noah jogged 2/5 of a mile and walked another 1/4 of a mile. How far did they go in all?
Divide. Reduce the answer to lowest terms. 2/7 • 15/7
A man borrowed $3500 from a bank for 6 months. The bank collected 7-1/2% simple interest on the date of maturity. How much did the man pay for use of the money and what was the amount he repaid the bank on the due date of the note
Answer:
$3762.50
Step-by-step explanation:
From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:
$3762.50
Given f(x)= 5x®, what is the domain? O 5
Answer:
all real numbers (D)
the range is y>= 0 (option B)
Step-by-step explanation:
the question isn't really clear, but assuming that it's f(x)=5x^6, the domain (or at least edge says the domain) is all real numbers. Next is y is greater than or equal to 0
hope this helps and you have a very nice day !! :)
A statistics student has a mean score of 92 in the first 3 tests. Suppose there are a total of 4 tests and all of them have equal weight. You can also assume that there is no extra credit in the last test. What is the best possible final average this student can get
Answer:
The best possible final average this student can get is 94.
Step-by-step explanation:
The average score is given by the sum of the scores of all tests divided by the number of tests.
In this question:
First three tests: Mean score of 92, so total score of 92*3 = 276
Best possible score, with 4 tests:
In the first three, the total is 276. The best possible score is with a grade of 100 in the fourth test. The score will be:
[tex]M = \frac{276+100}{4} = \frac{376}{4} = 94[/tex]
The best possible final average this student can get is 94.
Raul used the steps shown below to solve the equation. In which step did Raul make a mistake?
5x-3(2x+7)=2x+9
Step 1: 5x-6x-21=2x+9
Step 2: -11x-21=2x+9
Step 3: -12x=30
Step 4: x=-30/12
A. Step 1
B. Step 2
C. Step 3
D. Step 4
Answer:The answer is B, step two
Step-by-step explanation:5x-6x equals to -1x
HELP!!! NEED HELP! It is a very confusing lesson
5. Mai attempted 40 free throws and was successful 25% of them. How many free throws did
she make?
Answer:
10 were successful
Step-by-step explanation:
40x25%=10
Answer:
10
Step-by-step explanation:
40*.25 = 10
Abe had some sweets.
He gave half of his sweets to Ben.
Ben gave one third of his sweets to Charlie.
Charlie gave one quarter of her sweets to Dawn.
Dawn gave one fifth of her sweets to Eddy.
Eddy received 6 sweets.
How many sweets did Abe have?
Consider the sample space given below.
A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray.
S= {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66}
Write the following event as a set.
The event that the numbers showing face up are the same.
E = ....................?
Compute the probability of E.
Answer:
1 / 6
Step-by-step explanation:
Probability is a measure of the likelihood of an event to occur. The probability for an event to occur is between 0 and 1.
The Probability of an event occurring is the ratio of the number of event in the sample space to the total number of possible outcomes.
The number of possible outcomes [n(S)] from rolling a blue die and a gray die is 36.
n(S) = 36
Let E be an event that the numbers showing face up are the same.
E = {11, 22, 33, 44, 55, 66}, n(E) = 6
The probability of E = P(E) = number event / number of possible outcomes =
P(E) = n(E) / n(S) = 6 / 36 = 1 / 6
what is 3,600 divided by 4
Answer:
900
Step-by-step explanation:
Enter an equation in point-slope form for the line.
Slope is 8 and (-7, -1) is on the line.
The equation of the line in point slope form is:
Answer:
y + 1 = 8 (x + 7)
Step-by-step explanation:
point slope form is
y - y1 = m (x - x1)
So replace the y1 with the y point, and the x1 with the x point
y - (-1) = m (x - (-7) )
then replace the m with the slope
y - (-1) = 8 (x - (-7) )
now solve
y + 1 = 8 (x + 7)
