Answer:
Note: See the attached photo for the graph showing Weight Not Over (lbs.) vs Price($). The attached excel file also shows the same graph with the data used to draw it in the excel.
Step-by-step explanation:
In the attached graph, Weight Not Over (lbs.) is on the horizontal axis while Price ($) is on the vertical axis.
From the attached, it can be observed that the graph shows an upward trend. That implies that there is a positive relation between Weight Not Over (lbs.) and Price. That is, as Weight Not Over (lbs.) rises, the Price also rises.
"If a = − 9 and b = − 6, show that (a−b) ≠ (b−a)."
Answer:
Step-by-step explanation:
LHS a - b = -9 - (-6) = -9 +6 = -3
RHS b-a = -6 - (- 9) = -6 +9 = 3
as LHS not equal to RHS
a-b not equal to b-a
Thus proven
Paul writes newspaper articles. He earns a base rate of $500 per month and an additional $100 per article he writes. Last month he earned $2000.
Write an equation to determine the number of articles (a) he sold last month.
Answer:
Total earning last month with x articles is:
x*100 + 500This is same amount as 2000
The equation is:
100x + 500 = 2000Find the value of x.
Answer:
x = 3
Step-by-step explanation:
A midsegment in a trapezoid is formed when one connects the midpoints of the two legs (non-parallel sides) in a trapezoid. The midsegment theorem states that the length of the midsegment is equal to the average of the two bases (that is the parallel sides).
One can apply the midsegment theorem here by stating the following;
[tex]\frac{(YZ)+(TM)}{2}=PW[/tex]
Substitute,
[tex]\frac{23+11x+2}{2}=29[/tex]
Simplify,
[tex]\frac{25+11x}{2}=29[/tex]
Inverse operations,
[tex]\frac{25+11x}{2}=29[/tex]
[tex]25+11x=58\\\\11x = 33\\\\x = 3[/tex]
Which of the following is a true statement?
Answer:
The last choice: 68/5 - 22/5 = 9 1/5
Step-by-step explanation:
Solve each problem:
9 3/7 = 10 3/7
The fractions are the same so look at the whole numbers.
Does 9 equal 10? No, it doesn't so this is a false statement.
332/4 = 1/83
Simplify 332/4:
332/4 = 83/1
83 does not equal 1/83 so this is a false statement.
37/5 = 5 2/5
Convert the improper fraction into a mixed number:
7 2/5 = 5 2/5
These numbers do not equal each other so this is a false.
68/5 - 22/5 = 9 1/5
Subtract the numerators on the left side of the equation:
46/5 = 9 1/5
Convert the improper fraction into a mixed number:
9 1/5 = 9 1/5
These numbers equal each other so this is a true statement!
is this right? PLEASE HELP ILL MARK
Answer:
yeah u r correct...hope it helps ..stay safe healthy and happy.One urn contains 6 blue balls and 14 white balls, and a second urn contains 12 blue balls and 7 white balls. An urn is selected at random, and a ball is chosen from the urn. a. What is the probability that the chosen ball is blue? b. If the chosen ball is blue, what is the probability that it came from the first urn?
Answer:
a) 0.4658 = 46.58% probability that the chosen ball is blue
b) 0.322 = 32.2% probability that it came from the first urn
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. What is the probability that the chosen ball is blue?
6/20 = 0.3 of 0.5(first urn)
12/19 = 0.6316 out of 0.5(second urn).
So
[tex]P(A) = 0.3*0.5 + 0.6316*0.5 = 0.4658[/tex]
0.4658 = 46.58% probability that the chosen ball is blue.
b. If the chosen ball is blue, what is the probability that it came from the first urn?
Event A: Blue Ball
Event B: From first urn
From item a., [tex]P(A) = 0.4658[/tex]
Probability of blue ball from first urn:
0.3 of 0.5. So
[tex]P(A \cap B) = 0.3*0.5 = 0.15[/tex]
Probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.4658} = 0.322[/tex]
0.322 = 32.2% probability that it came from the first urn
The triangles are similar by:
the ASA similarity theorem.
the SSS similarity theorem.
the AAS similarity theorem.
the AA similarity postulate.
the SAS similarity theorem.
Answer:
E. by the SAS similarity theorem.
Step-by-step explanation:
Included angle x° in ∆ ABC ≅ included angle x° in ∆EDC (vertical angles are equal)
DC/BC = 240/150 = 1.6
EC/AC = 320/200 = 1.6
This implies that the ratio of two corresponding sides of both triangles are the same.
Two triangles are considered similar to each other by the SAS similarity theorem of they have a corresponding included angle that is equal and two corresponding sides that are congruent to each other. Therefore, both triangles are similar by the SAS similarity theorem.
In the figure below. JLM is similar to JKN if JM=14 inches what is the length of JN
Answer:
Hello good evening friend
Simplify the following expression.
3x4 + 2x3 - 5x2 + 4x2 + 6x-2x-3x4 +7XS - 3X3
Answer:
39+4x
Step-by-step explanation:
Since two opposites add up to zero, remove them from the expression
2x3-5x+2+4x2+6x-2x+7x5
Calculate the sum or difference
39+6x-2x
23 greater than b is at least -276
Answer:
23 + b ≤ -276
Step-by-step explanation:
In this exercise, you're required to write an algebraic expression for the word problem. Thus, you'll write out a mathematical equation using the given values and unknown variable.
Translating the word problem into an algebraic expression, we have;
23 + b ≤ -276
Simplifying further, we have;
b ≤ -276 - 23
b ≤ -299
Solve: |4x+3|=|2x+1|
Step-by-step explanation:
|4x+3|=|2x+1|THERE ARE TWO UNIQUE EQUATIONs
4x+3=2x+1
2x=-2
x=-1
(or)
4x+3= -(2x+1)
4x+3=-2x-1
6x=-4
x=-2/3
Therefore x=-1 , -2/3A box contains 10 balls, of which 3 are red, 2 are yellow, and 5 are blue. Five balls are randomly selected with replacement. Calculate the probability that fewer than 2 of the selected balls are red.
Answer:
The required probability is 0.1.
Step-by-step explanation:
red balls = 3
yellow balls = 2
blue balls = 5
Selected balls = 5
Number of elemnets in sample space = 10 C 5 = 1260
Ways to choose 1 red ball and 4 other colours = (3 C 1 ) x (7 C 4) = 105
Ways to choose 5 balls of other colours = 7 C 5 = 21
So, the probability is
[tex]\frac{105}{1260} + \frac {21}{1260}\\\\\frac{126}{1260}=0.1[/tex]
Which one is the correct answer? help pls!!
Answer:
(2k, k)
Step-by-step explanation:
x + y = 3k
x - y = k
Add the equations.
2x = 4k
x = 2k
2k + y = 3k
y = k
Answer: (2k, k)
Which of the following shows the graph of y=-(2)^3 – 1?
Answer:
The first graph
Step-by-step explanation:
Given
[tex]y = -(2)^x - 1[/tex]
Required
The graph
Set the exponent part to get the minimum/maximum of the graph
So, we have:
[tex]y = 0 - 1[/tex]
[tex]y = - 1[/tex]
The above implies that the curve passes through the y-axis at [tex]y = - 1[/tex].
By comparing the two graphs, we can conclude that the first represents [tex]y = -(2)^x - 1[/tex] because it passes through [tex]y = - 1[/tex]
When sales of a particular hybrid automobile reach 60,000 units, federal income tax credits begin to phase out. One year after reaching this threshold, buyers are still eligible for 25% of the original $3000 credit. What tax credit would buyers receive if they purchased the vehicle at this time.
Answer:
$750
Step-by-step explanation:
so, in short, we need to calculate 25% of $3000.
that is the amount of tax credit a buyer would get then.
direct and fast answer :
25% means 1/4 of the overall amount.
$3000 / 4 = $750
now, a little bit longer to explain % calculations in general.
let's say, we are talking 27%. now we have a problem to find a fast fraction as factor.
it always starts with the identification of 100%.
what is the full starting amount we are dealing with ? that is the 100%.
in our case $3000.
now, as a base for the calculation we determine 1%, which is 1/100 of 100%, of course.
1% = $3000 / 100 = $30
to get said 27% we have to multiply this by 27
27% = 1% × 27 = $30 × 27 = $810
or in general
x% = 100% × x / 100
that also works for more complex questions. e.g. calculate 1.5%
1.5% = $3000 × 1.5 / 100 = $30 × 1.5 = $45
and that is all there is to % calculations. all the questions are just some variations, where your are missing one of the 3 "ingredients" : 100% amount, x% amount and x itself.
and you need to transform the general equation above to get the missing piece of of the given information.
A basketball player has a 0.498 probability of making a three-point shot. What is the probability that it takes the player 4 tries to make a three-point shot? (Round your answer to three decimals if necessary.)
Answer:
$1
Step-by-step explanation:
because of the dollar it makes sense to be a dollar
.What is the value of x if 2(x+1) = 16 ?
2(x +1) = 16
Use the distributive property ( multiply 2 by each term inside the parenthesis).
2x + 2 = 16
Subtract 2 from both sides:
2x = 14
Divide both sides by 2:
x = 7
Answer:
7
Step-by-step explanation:
2x+2=16
2x=16-2
x=16-2/2
x=14/2=7
Will give brainliest if correct
Which congruence theorem can be used to prove △BDA ≅ △BDC?
Triangles B D A and B D C share side B D. Sides B C and B A are congruent. Sides A D and D C are congruent.
HL
SSA
AAS
SSS
Answer:
SSS or D on edge
Step-by-step explanation:
.
The three sides of triangle ΔBDA are equal to the three sides of triangle ΔBDC.
The congruency theorem that can be used to prove ΔBDA ≅ ΔBDC is; SSSReasons:
The given parameters are;
The common side to ΔBDA and ΔBD = BD
BC ≅ BA
AD ≅ DC
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reasons
BC ≅ BA [tex]{}[/tex] Given
AD ≅ DC [tex]{}[/tex] Given
BD ≅ BD [tex]{}[/tex] By reflexive property
Therefore, we have;
ΔBDA ≅ ΔBDC [tex]{}[/tex] By Side-Side-Side SSS, congruency ruleThe congruency theorem that can be used to prove ΔBDA ≅ ΔBDC is therefore;
SSSThe Side-Side-Side congruency rule states that if three sides of on triangle are congruent to three sides of another triangle, then the two triangles are congruent.
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the shorter side of a rectangle is 60% of the longer side and the perimeter of the rectangle is 96 inches. find the side lengths
Answer:length 30, width 18
Step-by-step explanation:
60% +100%=160%
160% × 2 = 320 %
96/320 = 0.3 ×100 =30 ( length)
30 × 0.6 =18 (width)
Check: (18 + 30) 2 = 96
Find the surface area and volume of the solid given the figure below
Answer:
Volume - 582.8848178 cm cubed
Step-by-step explanation:
Volume - to fine the volume start with the cone...
The formula is 1/3 pi r^2h
so for this problem it would be
1/3 * 3.14 * 26.01 * 11.2
so your answer would be...
305.061213 cm cubed
Your next step is to find the volume of the dome. to do that the formula is (4/3 pi r^3)/2
so for this problem it would be
(4/3 * 3.14 * 132.651)/2
so your answer would be...
277.8236048 cm cubed
Finally you add together those 2 volumes and get 582.8848178 cm cubed as your final answer.
Which option distinguishes what can be inferred in the following scenario?
Climatologists have recently observed a slow, steady increase in temperatures, which coincides with more frequent severe weather and higher sea levels.
1.The global climate is affected by human activity.
2.The global climate is undergoing significant changes.
3.The global climate is increasing concentrations of carbon dioxide.
4.The global climate is experiencing more severe weather because temperatures have increased.
The global climate is undergoing significant changes.
The sum of an a.p is 340. the first term is 7 and the common difference is 6. Cal the number of terms in the sequence.
anyone?
Common difference: 6
First term: 7
Second term: 13
Third term: 19
Fourth term: 25
Fifth term: 31
I hope this is correct and helps!
Answer to the following question is as follows;
Number of term in AP (N) = 10
Step-by-step explanation:
Given:
Sum of arithmetic progression (Sn) = 340
First term of AP (a) = 7
Common difference of AP (d) = 6
Find;
Number of term in AP (N)
Computation:
Sn = [n/2][2a + (n-1)d]
340 = [n/2][2(7) + (n-1)6]
340 = [n/2][14 + 6n - 6]
680 = n[6n + 8]
6n² + 8n - 680
Using Quadratic Formula
n = 10
Number of term in AP (N) = 10
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7. Calculate the Perimeter AND Area of triangle
ABC
B
24 m
40 m
14 m
А
с
20 m
37 m
9514 1404 393
Answer:
perimeter: 121 marea: 399 m²Step-by-step explanation:
The perimeter is the sum of the side lengths. Here, the bottom side is broken into two parts, so that side length is the sum of the parts. The area is given by the formula for the area of a triangle.
perimeter = 24 m +40 m + 37 m + 20 m = 121 m
area = 1/2bh = 1/2(20 m +37 m)(14 m) = 399 m²
A strawberry farmer in Poteet knows that 1/8 of his strawberries are typically not fit to sell at the market (either because they went bad or are too unusually shaped). The farmer takes a random sample of 156 strawberries to inspect for the upcoming farmer's market and finds that 24 are unfit to sell. If he were to go back and pick 1000 more strawberries to inspect for the market, how would the standard deviation of the sample proportion be affected
Answer:
It would be smaller.
Step-by-step explanation:
Given that :
The number of the strawberries that are unfit for sell, x = 24
The total number of the strawberries to inspect, n = 156
Total number of the strawberries to be picked = 1000 strawberries
Therefore,
[tex]$\widehat p =\frac{x}{n}$[/tex]
[tex]$=\frac{24}{156}$[/tex]
= 0.1538
[tex]$\widehat p =\frac{x}{n}$[/tex]
[tex]$=\frac{24}{1000}$[/tex]
= 0.024
Therefore, the standard deviation of the sample proportion would be smaller.
WILL GIVE BRAINLIEST!!! I WILL BE VERY GRATEFUL IF YOU HELP ME ASAP
Answer:
According to me its 90 degree
Step-by-step explanation:
Question 4 of 10, Step 1 of 1 1/out of 10 Correct Certify Completion Icon Tries remaining:0 The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes. They know that the probability of receiving a magazine subscription order with an entry form is 0.5. What is the probability that no more than 3 of the entry forms will include an order
Answer:
0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.
Step-by-step explanation:
For each entry form, there are only two possible outcomes. Either it includes an order, or it does not. The probability of an entry including an order is independent of any other entry, which means that the binomial probability distribution is used 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.
The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes.
This means that [tex]n = 16[/tex]
They know that the probability of receiving a magazine subscription order with an entry form is 0.5.
This means that [tex]p = 0.5[/tex]
What is the probability that no more than 3 of the entry forms will include an order?
At most 3 including an order, which is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{16,0}.(0.5)^{0}.(0.5)^{16} \approx 0[/tex]
[tex]P(X = 1) = C_{16,1}.(0.5)^{1}.(0.5)^{15} = 0.0002[/tex]
[tex]P(X = 2) = C_{16,2}.(0.5)^{2}.(0.5)^{14} = 0.0018[/tex]
[tex]P(X = 3) = C_{16,3}.(0.5)^{3}.(0.5)^{13} = 0.0085[/tex]
Then
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.0002 + 0.0018 + 0.0085 = 0.0105[/tex]
0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.
Algebraically show that each of the given combinations are equivalent to the given functions.
h(x) + j(x) is equivalent to k(x) given:
h(x) = 2x – 3;j(x) = - 4x + 6; k(x) = – 2x + 3
h(x) + j(2) =
Is h(x) + j(x) equivalent to k(x)? yes
Answer:
YES, they are equal
Step-by-step explanation:
Given the expressions
h(x) = 2x – 3;j(x) = - 4x + 6; k(x) = – 2x + 3
h(x) + j(x) = 2x – 3 + (-4x + 6)
h(x) + j(x) = 2x - 3 -4x + 6
h(x) + j(x) = 2x - 4x -3 + 6
h(x) + j(x) = -2x + 3 = k(x)
This shows that h(x) + j(x) = k(x)
Plz help. Last one today. 20 points. Thx!
Why is the number of operators per shift multiplied by approximately 4.5 to obtain the total number of operators required to run the plant
I believe you meant "why is the number of shifts multiplied by approximately 4.5 to obtain the total number of operators required to run the plant"
Answer and Explanation:
There are 3 shifts per day, 49 weeks per year and 5 shifts per operator per week
To get total number of operators required to run the plant, we multiply number of shifts in a year by number if operators per shift.
49 weeks×5 shifts= 245 shifts per operator per year
365×3 shifts= 1095 shifts per year
1095/245=4.5 operators per shift
total number of operators required to run the plant(per day) = 4.5×3= 13.5 approximately 14
total number of operators required to run the plant(per year) =4.5×1095=4927.5 approximately 4928
Which of the following is a correctly written algebraic equation?
a + 0.2x
5b - 5x + 2
a- 3x = 0
The equation "a - 3x = 0" is correctly written because it follows the standard format of an algebraic equation.
Given that,
All the equations are,
1. a + 0.2x
2. 5b - 5x + 2
3. a - 3x = 0
Now, from equation ''a - 3x = 0'',
In this equation, the variable "a" subtracted from 3 times the variable "x" equals zero.
The equal sign (=) indicates that the expression on both sides of the equation is equivalent.
The equation is properly balanced and expresses equality between the two sides.
It accurately represents a relationship between the variables "a" and "x" where the value of "a" is dependent on the value of "x" in order to satisfy the equation.
So, The correctly written algebraic equation is:
a - 3x = 0
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