Please help, the blue dot is random
The equation would be 5(x + 3) = 45
To solve:
1) Distribute 5 to x and then 5 to 3
2) That gives you this equation: 5x + 15 = 45
3) Then subtract 15 from both sides
4) You should get this: 5x = 30
5) Then divide 5/5 and 30/5 to isolate the x
6) The answer should be: x = 6
Have a good day/night :)
a true false wquiz has five questions. what is the probability that when guesisng a student will get at least one correct
The probability of getting at least one question right is 96.875%.
The question states that at least one guess should be right. This ultimately means that all guesses cannot be wrong, which is the only possibility being excluded here.
Probability for wrong guess =12=0.5
Probability for all wrong guesses =0.5*0.5*0.5*0.5*0.5=0.03125 or 3.125%
There is only 3.125% chance of all wrong guesses. Rest of the possibilities are our favorable conditions, i.e. at least one correct guess.
Therefore,
Probability of at least one correct guess=1-0.03125=0.96875 or 96.875%
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Which is the order from least to greatest of the following
4/3, 0.8, 1/5, 30%?
A. 4/3, 0.8, 1/5, 30%
B. 30%, 4/3, 0.8, 1/5
C. 1/5, 4/3, 30%, 0.8
D. 1/5, 30%, 0.8, 4/3
Which is the order from least to greatest of the following
A. 4/3, 0.8, 1/5, 30%
1.33 , 0.8 , 0.2 , 0.3
B. 30%, 4/3, 0.8, 1/5
0.3 , 1.33 , 0.8 , 0.2
C. 1/5, 4/3, 30%, 0.8
0.2 , 1.33 , 0.3 , 0.8
D. 1/5, 30%, 0.8, 4/3
0.2 , 0.3 , 0.8 , 1.33 these are listed smallest to largest
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of ?1/3
Oy + 2 = (x+3)
Oy -2=(x-3)
Oy+ 3 = (x + 2)
Oy-3=(x-2)
The equation which passes through (3,2) and slope 1/3 is:
y - 2 = 1/3 (x - 3)
Given, we have:
slope (m) = 1/3
Point = (3,2) = (x₁,y₁)
we are asked to determine the point slope form :
we know that:
point slope form:
y-y₁ = m(x-x₁)
substitute the above values in the formula:
y - 2 = 1/3 (x - 3)
Hence the correct option is B.
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the population of a town increased from 3450 in 2006 to 5700 in 2012. find the absolute and relative (percent) increase. absolute increase: relative increase:
Answer:
The absolute difference is 1050
The relative percentage is 32.3076%
Step-by-step explanation:
We are given
The population of a town increased from 3,250 in 2008 to 4,300 in 2010
In 2008:
In 2010:
Absolute difference:
we know that
absolute difference =
absolute difference =
absolute difference is 1050
Relative increase:
we know that
Relative percentage is
now, we can plug values
=32.3076
So, the relative percentage is 32.3076%
pls help? i dont know any of this
Answer:
Round to the nearest tenth.
a. 0.54 + 0.278 = 0.5 +0.3 = 0.8
b. 2.65 + 28. 17= 2.70 + 28.20 = 30.9
c. 3.09 + 2.41 + 9.86 = 3.10+ 2.40 + 9.90= 15.4
d. 15.234 + 1.37 + 0.76 = 15.20 + 1.3 + 0.8 = 17.30
e. 39.18 + 2.48+ 0.84 = 39.20 + 2.5 + 0.8 = 42.5
Round to the nearest whole number.
f. 4.112 + 3.89 = 4 + 4 = 8
g. 23.14 + 7.6 + 3.67 = 23 + 8 + 4= 35
h. 53.2 + 3.08 + 27.51 = 53 + 3+ 28 = 84
i. 11.08 + 17.28 + 92.6 = 11 + 17 + 93 = 121
j. 24.08+ 7.9 + 3.06 = 24 + 8 + 3 = 35
Step-by-step explanation:
Hopefully it's right!!!
Which pairs of triangles are similar? check all that apply. â–³abc ~ â–³def â–³def ~ â–³ghi â–³ghi ~ â–³abc â–³ghi ~ â–³jkl â–³jkl ~ â–³abc
The similar pairs of triangles are given as follows:
DEF and HGI.JKL and ABC:What are similar triangles?Similar triangles are two triangles that have the same angle measures.
For these triangles, considering the relations between angles such as sine/cosine/tangent, or the law of sines, the side lengths have to be proportional.
Considering the need for proportional side lengths, the similar triangles in this problem are given as follows:
DEG and HGI: as the proportion between the side lengths of each triangle is of 1.5.JKL and ABC: as the proportion between the side lengths of each triangle is of 0.5.The other triangles are not similar as there are no proportional relationships that can be established from the side lengths of these triangles.
Missing InformationThe problem is given by the image at the end of the answer.
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The magnitude and direction of two forces acting on an object are 70 pounds, S76°E, and 120 pounds, N80°E, respectively. Find the magnitude, to the nearest
hundredth of a pound, and the direction angle, to the nearest tenth of a degree, of the resultant force.
The magnitude is approximately
pounds.
(Do not round until the final answer. Then round to the nearest hundredth as needed.)
The magnitude is approximately 186 pounds.
What is meant by magnitude?A mathematical object's magnitude, often known as its size, is a quality that indicates whether it is bigger or smaller than other things of the same sort. Formally speaking, an object's magnitude represents the ordered (or ranked) outcome of the class of objects it belongs to.
We have to assume that the notation starts South and then moves 76 degrees East.
The 70-pound force is going at an angle down and to the right.
The down one is negative and the right one is positive.
We have to use the vectors as the hypotenuse of a rectangle.
70 cos(76) = vertical = 16.93 down
70 sin(76) = horizontal = 67.92 right
120 cos(80) = vertical = 20.83 up
120 sin(80) = horizontal =118.17 right
We have to add up all the values vertically and horizontally, and we get
-16.93 + 20.83 =3.9 up
67.92 + 118.17= 186.09 right
Here, the magnitude is the hypotenuse.
sqrt(15.21+34629.49) =186.13 pounds.
Direction is cos⁻¹(3.9/186.13) = 88.802
Remember this is North then 88.802 degrees East
Therefore, the magnitude is approximately 186 pounds.
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how heavy a load (in pounds) is needed to pull apart pieces of douglas fir 4 inches long and 1.5 inches square? data from students doing a laboratory exercise are given.
With the help of binomial distribution we can conclude our answer.
What is binomial distribution?The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability p) or failure (with probability displaystyle q=1-pq=1-p). This distribution is used in probability theory and statistics. A Bernoulli trial, or experiment, is another name for a single success-or-failure experiment, and a Bernoulli process is another name for a series of results. For a single trial, or n = 1, the binomial distribution is a Bernoulli distribution. The popular binomial test of statistical significance is based on the binomial distribution. [1]A sample of size n drawn with replacement from is widely used to model the number of successes using the binomial distribution.acc to our question-
The confidence interval can be found out using,
Confidence interval = Mean ± MOE = 30,800 ± 1,314.8079 = 29,485.192 , 32,114.8Hence, the confidence interval for the mean load required to pull the wood apart is (29,485.192 , 32,114.8).
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Given that U={a,b,c,d,e,f} and X={a,b,c,d}, Y={c,d,e} and Z={b,d,f} , Find (XUY)U(XUZ)
A and B are two sets, and the set formula is given as n(AB) = n(A) + n(B) - n(AB), where n(AB) denotes the number of elements present in either A or B, and n(AB) is the number of elements present in both A and B.
How do you solve sets?Drawing Venn diagrams, as seen below, is the simplest method for solving set issues.
The total number of elements in any set A or B is n(AB).
The total number of elements in sets A and B is n(AB).
n(AB) is equal to n(A) + n(B) - n(AB)
U={a,b,c,d,e,f}
X={a,b,c,d},
Y={c,d,e}
Z={b,d,f}
(XUY) = (a,b,c,d,e)
(XUZ) =(a,b,c,d,f)
(XUY)U(XUZ) = (a,b,c,d,e,f)
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what is the probability that at least nine out of 12 cars have an acceptable emissions level? (round your answer to three decimal places.)
The probability that at least nine out of 12 cars have an acceptable emissions level is 0.333.
What is probability?The branch of mathematics which deals with the analysis of random phenomena is called probability. The probability of an event is defined as the ratio of favorable events to the total number of events.
P(E) = F(E)/T(E)
Where P(E) = probability of an event which occur\
F(E) = Number of favorable events
T(E)= Total number of events
Here given that the total number of cars T(E) =12
And the number of cars that have acceptable emissions level F(E) = 4
Hence Probability that at least nine cars have an acceptable emission level
=4/12
= 1/3
= 0.333
The probability that at least nine out of 12 cars have an acceptable emissions level is 0.333.
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5
The equation of a line is y=-x+9.
8
(a) What is the slope of a line parallel to it?
(b) What is the slope of a line perpendicular to it?
(a) The slope of a line parallel to it is. (Simplify your answer.)
(b) The slope of a line perpendicular to it is
(Simplify your answer.)
a. The slope of the line that is parallel to y = 5/8x + 9 is: 5/8.
b. The slope of the line that is perpendicular to y = 5/8x + 9 is: -8/5.
What is the Slope of Parallel and Perpendicular Lines?When two lines are parallel to each other, the lines will have the same slope value (m). However, if both lines are perpendicular to each other, they would have slope values that are negative reciprocals, meaning the product of their slope would be -1.
a. Given the equation, y = 5/8x + 9, the slope (m) of the line is 5/8.
Therefore, it implies that the line that is parallel to y = 5/8x + 9 will have a slope that is the same as 5/8.
Thus, the slope of the parallel line to the equation, y = 5/8x + 9, is: 5/8.
b. The negative reciprocal of 5/8 is -8/5.
Therefore, the slope of the line that is perpendicular to y = 5/8x + 9 would be: -8/5.
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Round 112.511 off each number to two (2) Decimal Place
Which of the following is(are) the solution(s) to |5x + 2| = 8 ?
Answer:
x = -2 ; x = 6/5
Step-by-step explanation:
5x + 2 >=0
5x >= -2
5/5 x >= -2/5
x >= -2/5
if x >= -2/5
5x +2 = 8
5x = 8 -2
5x = 6
5/5 x = 6/5
x = 6/5
if x < -2/5
-5x -2 = 8
-5x = 8+2
-5x = 10
-5/-5 x = 10/-5
x = -2
the ratio of 15 and square of m? This question is on Get More Math
The ratio of 15 and square of m is 15/m².
What is a ratio?A ratio simply refers to a mathematical expression that is typically used for denoting the proportion of two (2) or more quantities with respect to one another and the total quantities. This ultimately implies that, a ratio can be expressed as a quotient.
What is quotient?In Mathematics, quotient can be defined as a mathematical expression that is simply used to represent the division of a numerical value by another numerical value or variable.
In this scenario, the numerical value 15 would be the numerator while the variable m would be the denominator, and it should be expressed as follows:
Ratio = 15/m²
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The equation P = 6.31H + 41.5 can be used to predict the points earned P, buy a student on an organic chemistry final, based on the number of hours H, that he, or she studies. To earn 95 points on the final, how many hours does the model suggest someone should study?
The number of hours it is suggested to study is 8.5 hours using the concept of the equation.
What are equations?Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. LHS = RHS (left-hand side = right-hand side) appears in all mathematical equations. The value of an unknown variable, or unknown quantity, can be determined by solving equations.
Given,
The given linear equation P = 6.31H + 41.5, is used to predict the points earned P.
Also P = 95,
Now, we will find the value of H by using LHS=RHS
95 = 6.31H+41.5
Subtract 41.5 from both sides,
53.5 = 6.31H
Now, divide both sides by 6.31,
8.5 = H
Therefore, the number of hours it is suggested to study is 8.5 hours.
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Select the correct answer. Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-13) = 20 B. g(7) = -1 C. g(0) = 2 D. g(-4) = -11
The statement which could be true for the function, g as required in the task content is; Choice C; g(0) = 2.
Which of the statements could be true for the function g?It follows from the task content that the statement which could be true about the function g is to be identified.
Since the given function instances are; g(0) = -2 and g(-9) = 6.
Since the function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45.
Hence, the statement which could be true about the function, g is; Choice C; g(0) = 2.
This is so because, 0 is in the domain of the function and 2 is in the range of the function.
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A car originally is worth $3000. It is decreasing in value by 3% every year. How much is it worth in 3 years.
(Round to the nearest cent)
Answer: $2738.02
Step-by-step explanation:
1) (3000x0.97) = 2910 } Year 1
2) (2910x0.97) = 2822.7 } Year 2
3) (2822.7x0.97) = 2738.019 } Year 3
a government agency wished to estimate the proportion of drivers aged 16-24 who have been involved in a traffic accident within the last year. the agency wished to make the estimate within one percentage point and at 90% confidence. find the minimum sample size required, using the information that, several years ago, the proportion was 0.12.
The required minimum sample size is 2875
Given that,
A government organization wanted to determine how many drivers between the ages of 16 and 24 had recently engaged in an accident. The agency wanted to make the estimate with a 90% confidence level and within one percentage point.
From the standard normal table, the z-critical value at 90% confidence is 1.65.
The information represent E = 0.01, p = 0.12 and z. =1.65 for finding sample size.
n = (Zc / E )² x P(1-P)
= (1.65 2x0.12(1 - 0.12)0.01
= 2874.96 ~ 2875
Hence, 2875 is the necessary number of samples, minimum.
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Patricia’s brother Kevin likes his lemonade. Best way to use a ratio of 3 tablespoons of lemon juice to 24 ounces of water. Does Kevin favorite lemonade juice taste the same as Patricia
Kevin favorite lemonade juice can't taste the same as Patricia's.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
1 table spoon = 0.5 ounce
Therefore, 24 ounces will be:
= 24 × 0.5
= 12 tablespoon
In this case, they have different tablespoon and therefore won't have same taste.
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Dan spends
3
4
of his wages on rent and
1
8
on food. If he makes £240 per week, how much money does he have left?
The money left with Dan is £30 .
In the question ,
it is given that
the amount of money earned by Dan in a week is = £240 .
amount of money spent by Dan on rent is = 3/4 wage
amount of money spent by Dan on food is = 1/8 of wage
So ,
the total amount spent = amount spent on food + amount spent on rent
Substituting the values ,
we get ,
= 3/4 + 1/8 = 7/8 of his wage = (7/8)*240
= 210
so , total amount spent is £210 .
Amount left = amount earned - amount spent
= 240 - 210
= 30
Therefore ,The money left with Dan is £30 .
The given question is incomplete , the complete question is
Dan spends 3/4 of his wages on rent and 1/8 on food. If he makes £240 per week, how much money does he have left?
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Linda' chool play tarted at 9:05 AM. It lated 1 hour and 45 minute. What time did the play end?
In given word problem ending time of the play is 10.50 AM.
What is word problem?
A comprehensive list of math word problems focuses on addition, subtraction, multiplication, division and more specific operations. life scenario. This means that children must be familiar with vocabulary associated with familiar mathematical symbols in order to understand word problems.
Here starting time of play = 9:05 AM
It took 1 hour 45 minutes to end the play. Then ,
=> 9 hour 05 minutes
1 hour 45 minutes +
=> 10 hour 50 minutes.
Hence ending time of the play is 10.50 AM.
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a fast-food restaurant offers 6 different burgers, 5 different side orders, 8 different flavor drinks, and 9 different flavors of ice cream. in how many ways can a combo containing 2 burgers, 2 different sides, 3 different flavor drinks, and 3 ice cream flavors be made? a) 36 b) 705,600 c) 404,040 d) 165 e) 2,160 f) none of the above.
Total no of ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 3 ice cream flavors be made = 529,200
What are combinations?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.Where:n – the total number of elements in a setk – the number of selected objects (the order of the objects is not important)! – factorialacc to our question-
A fast-food restaurant offers 6 different burgers, 6 different side orders, 7 different flavor drinks, and 9 different flavors of ice cream .choose 2 burgers from 6 different burger = choose 3 different sides from 6 different side orders = choose 2 flavor drinks from 7 different flavor drinks = choose 3 ice cream from 9 different flavors of ice cream = Total no of ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 3 ice cream flavors be made=15*21*20*84529,200hence,Total no of ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 3 ice cream flavors be made = 529,200
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Fractions DIDES Change this improper fraction to a mixed number. Click OK when you are done. ME 10 6 Question 3 out of 10 TUTOR-EXERCISE | what is 10 over 6 as a improper fraction??
The improper fraction of [tex]\frac{10}{6}[/tex] is [tex]1\frac{2}{3}[/tex] .
Converting [tex]\frac{10}{6}[/tex] into improper fraction,
[tex]\frac{10}{6}\\\\=\frac{5}{3}[/tex]
Divide 5 by 3, we get 1 with remainder 2
Now, write 1 as whole number , 2 as new numerator and denominator remains same i.e. 3
Now, Improper fraction is [tex]1\frac{2}{3}[/tex] .
Thus, the improper fraction of [tex]\frac{10}{6}[/tex] is [tex]1\frac{2}{3}[/tex] .
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A grocery store has salmon fillets on sale for $8.30 per pound. Mrs.patrolia buys
not sure how much she bought, but all you’d have to do is multiply the cost of salmon fillets ($8.30) times the amount she bought.
Example: if Mrs. Patrolia bought 3 pounds it would be $8.30 x 3.
Let a function of 2 variables be defined by f (a,b) =ab - (a-b) what is the value of f (8,9)
By using function, it can be calculated that
The value of f(8, 9) is 73
What is a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Here the function is
f(a, b) = ab - (a - b)
f(8, 9) = 8 [tex]\times[/tex] 9 - (8 - 9)
f(8, 9) = 72 + 1
f(8, 9) = 73
So the value of f(8, 9) is 73
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The quadratic function f(x) = -3(x + 2)² + 1is represented in the graph below
Graph of Quadratic FunctionWhen graphing parabolas, we want to include certain special points in the graph. The y-intercept is the point where the graph intersects the y-axis. The x-intercepts are the points where the graph intersects the x-axis. The vertex is the point that defines the minimum or maximum of the graph. Lastly, the line of symmetry (also called the axis of symmetry) is the vertical line through the vertex, about which the parabola is symmetric.
In the function given;
f(x) = -3(x + 2)² + 1
vertex of the function = (-2, 1)
Axis of symmetry =
This can be graphed using a graphing calculator;
Kindly find the attached image
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Identify the correct property of equality to solve each equation. 3 x = 27 x 6 = 5
The correct property of equality to solve each equation. 3 + x = 27 and x + 6 = 5 is subtraction property of equality.
The property of equality defines an equivalence relationship between two variables. The subtraction property of equality refers to the property that two sides of the equation remain equal when the same number is subtracted from both sides of an equation. According to the subtraction property of equality, if two quantities a and b are equal, and if c is subtracted from both a and b, then the difference of a and c and the difference of b and c are equal. Hence, if a = b, a – c = b – c. Using the subtraction property of equality:
3 + x = 27
3 + x -3 = 27 - 3
x = 24
Similarly,
x + 6 – 6 = 5 – 6
x = -1
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Answer:
3+x=27
✔ subtraction property of equality with 3
x/6 = 5
✔ multiplication property of equality with 6
Step-by-step explanation:
Find the error in the calculations below, if there is one:
Line (1): 4x³ + 2x² − 6x +3
Line (2): = 2x²(2x + 1) − 3(2x + 1)
Line (3): = 2x²(2x + 1) + ( − 3)(2x + 1)
Line (4): = (2x² − 3)(2x + 1)
Line 1 4x³ + 2x² − 6x +3 is having error.
Line 1.
4x³ + 2x² − 6x +3
Line 2.
= 2x²(2x + 1) − 3(2x + 1)
= 4x³ + 2x² - 6x - 3
Line 3.
= 2x²(2x + 1) + ( − 3)(2x + 1)
= 4x³ + 2x² - 6x - 3
Line 4.
= (2x² − 3)(2x + 1)
= 4x³ + 2x² - 6x - 3
expect line 1 remaining all three are equal.
Therefore Line 1 4x³ + 2x² − 6x +3 is having error.
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Which statement is true about 67?
A. its a prime number
B. its a composite number
C. its neither prime or composite
Answer:
a. its a prime number cuz as far as ik 67 has one factor 67x1
Answer:
Number 67 is prime because it doesn't have proper factors. In other words, the only factors of 67 are 1 and itself
