Solve for y.
frankly im confusion
a:4.53
b.4
c.7.47
c.8
Answer:
8
Step-by-step explanation:
Due to lines r & s being parallel to each other, we can apply the rule of alternate interior angles to solve for y in this problem.
Applying this, we'll be obtaining the equation that of:
[tex]116=15y-4[/tex]
We now simply solve for y.
[tex]120=15y\\y=8[/tex]
Therefore, y is equal to 8.
This can be checked by plugging it into the equation:
[tex]15(8)-4[/tex]
[tex]120-4[/tex]
[tex]116[/tex]
And look at that, we got 116 for our answer, exactly the same as the other angle.
Any questions feel free to ask :)
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.8 years, and standard deviation of 0.7 years.
If you randomly purchase one item, what is the probability it will last longer than 6 years?
Round answer to three decimal places
The probability of 6 years or more, so we want the complement,
1 - 0.98533 = 0.01467 1.467% chance, not very likely.
What is Z-score?A z score is a type of statistical measurement that gives an idea of how far a raw score is from the mean of a distribution. A z score is used in a z test for hypothesis testing.
Here, Because you are looking for the mean of a group of 7.8, the standard deviation will shrink by a factor of √6
Old standard deviation = 0.7,
new standard deviation = 0.7/√6 = 0.64254
You need to find a z-score and then convert your z-score to a probability.
z-score = (your score - average)/ std dev
z-score = (7.8 - 6)/0.64254
z-score = 2.1789
To convert a z-score either look it up on a table or use a calculator.
But z-tables are designed to shade to the left, which means this is the probability that the mean life is 6 years or less. We want the probability of 6 years or more, so we want the complement, 1 - 0.98533 = 0.01467
1.467% chance, not very likely.
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-5x-5<15
Solve the inequality and graph solution set. Write solution set in (a) set builder notation and (b) interval notation
-5x-5<15 [given]-5x<20 [add 5 to both sides]x>-4 [divide both sides by -5, don't forget to flip the inequality sign]
(a) [tex]\{x: x > -4 \}[/tex]
(b) [tex](-4, \infty)[/tex]
A concert manager counted 600 ticket receipts the day after a concert. The price for a student ticket was $13.50, and the price for an adult ticket was $17.00. The register confirms that $9,587.50 was taken in. How many student tickets and adult tickets were sold?
The number of student tickets is 175 and the number of adult tickets is 425.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
A concert manager counted 600 ticket receipts the day after a concert. The price for a student ticket was $13.50, and the price for an adult ticket was $17.00. The register confirms that $9,587.50 was taken inSuppose the number of the student ticket is St and adult are At.
St + At = 600
St = 600 - At
Another expression for the total amount will be given as:-
13.5St + 17At = 9587.50
Put the value of St in the equation to find the value of At.
13.5( 600 - At) + 17At = 9587.50
8100 - 13.5At +17At = 9587.5
17At - 13.5 At = 9587. 5 - 8100
3.5 At = 1487.5
At = 425
St + At = 600
St = 600 - At = 600 - 425 = 175
Therefore the number of student tickets is 175 and the number of adult tickets is 425.
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Simplify x^2+2x+1 divided by x+1
The quotient is x+1.
What Long division method?Long division is a method for dividing one large multi digit number into another large multi digit number.
Given:
f(x)= x²+2x+1
g(x)= x+1
The steps to divide the polynomial is :
Divide the leading term of the dividend by the leading term of the divisor: x²/x=x.Multiply it by the divisor: x(x+1)=x²+x.Subtract the dividend from the obtained result: (x²+2x+1)−(x²+x)=x+1.Divide the leading term of the obtained remainder by the leading term of the divisor: x/x=1.Multiply it by the divisor: 1(x+1)=x+1.Subtract the remainder from the obtained result: (x+1)−(x+1)Learn more about long division method here:
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A linear function contains these points: (0,-1) & (3,8)
What is the slope and y-intercept of this function?
Answer:
slope: 3
y-intercept: (0, -1)
Find slope:
[tex]\sf slope : \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
Here given points are: (0, -1), (3, 8)
[tex]\rightarrow \sf slope : \dfrac{8-(-1)}{3-0} = \dfrac{9}{3} = 3[/tex]
When finding y-intercept, the value of x is 0. Here given y is -1 when x is 0.
y-intercept: -1 or (0, -1)
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
If a linear function contains these points: (0,-1) and (3,8), what is its slope and y-int.?
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
Formula utilised, here [tex]\bf{\dfrac{y2-y1}{x2-x1}}[/tex].
Put in the values,
[tex]\bf{\dfrac{8-(-1)}{3-0}}[/tex] | subtract on top and bottom
[tex]\bf{\dfrac{9}{3}}[/tex] | divide on top and bottom
[tex]\bf{3}[/tex]
The y-intercept is the second co-ordinate of the point (0,-1)
[tex]\bf{Which\;is\;-1}[/tex].
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{\begin{cases} \bf{Slope=3} \\ \bf{Y-int. -1} \end{cases}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic\not1 \theta l}}[/tex]
Find the area.
help pls
Answer:
30 square feet
Step-by-step explanation:
The area of a trapezoid is equal to (a+b)/2 * h
In this case, the value of a is 5, b is 10, and h is 4. You can substitute those numbers into the formula and get the answer of 30.
Find the probability that a person is male given that the person prefers hiking near lakes and streams. Let M= male and L= prefers lakes and streams.
This is a conditional probability. What word signals that it is a conditional?
Regarding conditional probabilities, the keyword is always given, as a previous event is considered to have happened.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula 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.The previous event having happened is represented by keyword given.
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need help figuring out the answers
Answer:
3, -1, 1 and 0
Step-by-step explanation:
An expression is undefined when the denominator is equal to 0 as you cannot divide by 0 in Mathematics. Therefore you are looking for the values of x which will result in either or both denominators equaling 0.
This simply means finding the solutions to the quadratics in the denominators.
First equation is [tex]x^{2} -2x-3[/tex].
One way you can solve this equation is using factorization (putting the equation into two sets of brackets which show the solutions) which puts the equation in the solvable form: (ax+b)(cx+d).
Firstly, we can deduct that a and c are both 1 as ax and cx multiply to give the x^2 term, the co-efficient of which is 1. Since only 1 and 1 can multiply to 1, a and c must both be 1.
Now, in order to work out b and d we need to find the possible factor combinations for -3 as b and d multiply to give the constant term. The only possible combination is 1x3, therefore b and d can either be -1 and 3, or -3 and 1.
To work this out we look at the x term. We see it is -2x. b and d will add to give the co-efficient.
Therefore we know that they are -3 and 1 as -3+1 = -2
We now have the equation: (x+1)(x-3)
Setting it to 0 gives us: [tex](x+1)(x-3)=0[/tex]
This tells us the solutions to this equation are x= -1 and x= 3 as substituting these values for x will result in a bracket adding to 0 so both those options can be selected as your answer.
The second equation [tex]2x^{2} +2x[/tex] can be approached with a slightly easier method. Both terms have a 2x, so we can condense it into a bracket by dividing both terms by the common factor and moving the factor outside. Factorizing this equation in this fashion gives us: [tex]2x(x+1)=0[/tex]
Now our solutions are x=0 and x=1.
Combined from both equations the correct options are: 3, -1, 1 and 0.
Hope this helped!
I need help pronto!!
Answer:
There were 42 fewer students who chose Football than Hockey.
Step-by-step explanation:
Fraction of students who chose Hockey
= 1 - [tex]\frac{1}{6}[/tex] - [tex]\frac{1}{3}[/tex]
= [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{2}[/tex] units = 21
1 unit = 42
No. of students who chose Football
= 2 units ([tex]\frac{2}{6}[/tex])
= 84 students
No. of students who chose Hockey
= 3 units ([tex]\frac{3}{6}[/tex])
= 126 students
Difference between no. of students who chose Football and Hockey
= 126 - 84
= 42 students
∴There were 42 fewer students who chose Football than Hockey.
Need help, can't figure this one out:
Find the perimeter of the following rectilinear figure.
The perimeter of the following rectilinear figure is 54 units.
What is Perimeter ?Perimeter of a figure is the distance covered when a person walk one round across its edges .
The given figure is in the form of a rectangle ,
The perimeter is equal to the sum of all sides ,
The bottom base is 13 includes (base of the small extended figure )
The left side is 14(includes left side of the small extended figure)
The right side is 10+5+4 (includes right side of the small extended figure)
The top is 8
Therefore the perimeter is 13+14+10+5+4+8 = 54 units
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What is the degree of the monomial?
8x²y³z4
If f(x) = 3x + 10 and g(x) = 2x - 4, find (f- g)(x).
Step-by-step explanation:
please mark me as brainlest
A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32.
a. Compute the value of the test statistic
The value of the z test statistic will be 2.55.
What is the z test statistic?The z test statistic is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z test statistics is given as
z = (x – μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
A sample of 25 provided a sample mean μ = 14 and a sample standard deviation σ = 4.32.
Then the value of the z test statistic will be
z = (x – μ) / σ
z = (25 - 14) / 4.32
z = 11 / 4.32
z = 2.546 ≈ 2.55
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What are the zeros of the quadratic function f(x)=6x^2+12x-7?
(Please pick from one of the options in the photo)
The zeroes of the quadratic function f(x) = 6x² + 12x – 7 will be given below. Then the correct option is A.
The missing options are given below.
What is the solution of the quadratic equation by formula method?The quadratic equation is given as ax² + bx + c = 0.
Then the solution is given as
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}[/tex]
The quadratic function is given below.
f(x) = 6x² + 12x – 7
Then the zeroes of the quadratic function will be
[tex]\rm x = \dfrac{-12\pm \sqrt{12^2 - 4 * 6 * (-7)}}{2 * 6}\\\\\\\rm x = \dfrac{-12\pm \sqrt{312}}{12}\\\\\\\rm x = -1 \pm \sqrt{\dfrac{13}{6}}\\\\\\x = -1 - \sqrt{\dfrac{13}{6}} , -1 + \sqrt{\dfrac{13}{6}}[/tex]
Then the correct option is A.
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A football teams offense T is found by adding the total passing yardage P to the total rushing yardage R; that is, T=P+R. During the 2012 regular football season, the teams total offense was 4559 yards. The teams passing yardage was 3069 yards. How many yards did the team gain by rushing during the season?
The team gain 1490 yards by rushing during the season.
What is football yardage?Football yardage is the number of yards that a team or player manages to move the ball forward toward their opponent's end zone.
According to the question,
A football teams offense T is found by adding the total passing yardage P to the total rushing yardage R,
i.e. T=P+R
In 2012,
The teams total offense was 4559 yards.
The teams passing yardage was 3069 yards.
By using the formula
T=P+R
T = 4559 yards , P = 3069 yards
Put the values in the above equation;
4559 = 3069 - R
4559 - 3069 = R
R = 1490 yards
Therefore , 1490 yards the team gain rushing during the season.
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a farmer uses 1/6 of his land to plant pineapples, 5/9 to plant durians and the remaining 48.5 acres to plant vegetables. calculate the area of land used to plant pineapples and durians
Step-by-step explanation:
x = total area of land
x - 1/6 × x - 5/9 × x = 48.5 | multiply both sides by 6
6x - x - 30/9 × x = 291
5x - 30/9 × x = 291 | multitude both sides by 9
45x - 30x = 2,619
15x = 2,619
x = 174.6 acres
pineapples were planted on 174.6 × 1/6 = 29.1 acres.
durians were planted on 174.6 × 5/9 = 97 acres.
Please answer BOTH the questions xoxo <3
Answer:
First Image: Choice B
Second Image: Choice B
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
b represents the y-intercept
First Image:
In our equation, y = 0.1x + 1,
we see that the y-intercept of the line is 1 and the slope is 0.1
We can simple plug in the x values to test if the table is true:
x = -1
y = 0.1x + 1 → y = 0.1(-1) + 1 → y = -0.1 + 1 → y = 0.9
This proves choices A and C are INCORRECT
The next point is at x = 10
y = 0.1x + 1 → y = 0.1(10) + 1 → y = 1 + 1 → y = 2
Making choice D INCORRECT
Hence, you've selected the correct choice (B)!
Second Image:
In our equation, y = 3x + 2,
we see that the y-intercept of the line is 2 and the slope is 3
Choice A is INCORRECT due to (0,0) not logical as the y-intercept is 2
Choice B is CORRECT due to (1/3, 3) not logical as that 3 = 3(1/3) + 2
6 = 3(4/3) + 2 → 6 = 4 + 2. → 6 = 6
3 = 3(1/3) + 2 → → 3 = 1 + 2. → 3 = 3
20 = 3(6) + 2 → 20 = 18 + 2. → 20 = 20
Choice C is INCORRECT due to (-6, 20) not logical as that 20 = 3(-6) + 2
Choice D is INCORRECT due to (10, 4) not logical as that 10 = 3(4) + 2
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If a widget factory as a fixed operating cost of $2,500 per day plus a cost of $1.50 per widget produced. If a widget sells fro $5.00, what is the least number of widgets that must be sold per day to make a profit?
At least 714 numbers of widgets must be sold per day to make a profit.
Given fixed operating cost = $2,500 per day cost of widget =$ 1.50
widget sells = $ 5.00
Cost function = C(X)=1.50x+2500
Revenue function = R(X)=5 x
At Break Even point R (X) = C (X)5
X= 1.50X+25003.5
X =2500X =714
hence to reach break even point or make profit 714 no to be sold.R(714)= 3571.
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find the value of x. round to the nearest tenth
Answer:
*79.40*
Step-by-step explanation:
using sine rule..
a/sinA = b/sinB
42/sin19= x/sin142
x= sin142*42/sin19
= 79.42356..
to the nearest tenth = 79.40.
Answer:
Step-by-step explanation:
a/sinA = b/sinB
(42/sin19) = (x/sin142)
x = (sin142 *42 / sin19)
Round to the nearest tenth -> 79.4
Find the smallest number such that
when divided by 18, the remainder
is 17, when divided by 20 the
remainder is 19 and when divided
by 24, the remainder is 23.
Answer:
I think the answer is 7
don't blame me if I'm wrong
Answer:
359
Step-by-step explanation:
the prime factors of the numbers are
18 = 2×3×3
20 = 2×2×5
24 = 2×2×2×3
the lowest common multiple is therefore
2×2×2×3×3×5 = 360
the difference between the checked divisor numbers and the expected remainder is constantly 1 :
18 - 17 = 1
20 - 19 = 1
24 - 23 = 1
so, we can deduct this constant 1 from the LCM and get the desired number :
360 - 1 = 359
verify :
359 ÷ 18 = 19 remainder 17
359 ÷ 20 = 17 remainder 19
359 ÷ 24 = 14 remainder 23
Boxes of tins are delivered to a shop. There are 37 boxes. Each box contains 25 tins. How many tins are there?
Answer:
Step-by-step explanation:
it equal 925 tins in total when you multiply 37 times 25. Hope that helps
If a soup recipe yields 20 gallons, how many 5 fluid ounce portions will the recipe yield?
The total number of 512 portions will be made the recipe that contains 5 fluid ounces each.
The soup recipe gives 20 gallons.
As we know one gallon produces 128 fluid ounces.
There are 20 gallons produced.
So the number of fluid ounces produced will be 20*128= 2560
Given in the question each portion contains 5 fluid ounces.
Then there is a total of 2560 numbers of fluid ounces.
So the number of portions will be = number of fluid ounces/ number of fluid ounces in each portion= 2560/5= 512
Therefore the total number of 512 portions will be made the recipe that contains 5 fluid ounces each.
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Gianna used two refrigerators, each set to a different temperature, to cool two cups of hot liquid.
She placed the first cup in refrigerator A. The temperature, in degrees Fahrenheit, of the liquid in this cup, after x minutes in the refrigerator, is represented by the graphed function.She placed the second cup in refrigerator B. The temperature, in degrees Fahrenheit, of the liquid in this cup is represented by an exponential function that has a y-intercept of 96 and approaches 38 as x increases.
The answers are
1). warmer
2). higher
3). end behavior
What is Refrigerator?
A refrigerator is a device which is designed to remove heat from a space that is at lower temperature than its surroundings.
When Gianna initially placed the two cups in the refrigerators, the liquid placed in refrigerator A was warmer than the liquid placed in refrigerator B.
The end behavior of the two functions implies that refrigerator A is set to a higher temperature than refrigerator B.
The graph for the question given below.
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Item at position 9
The lifetimes of 20,000 light bulbs are normally distributed. The mean lifetime is 230 days. The standard deviation is 40 days. Find the values defined by standard deviation in a normal distribution for 3 standard deviations.
Using the normal distribution, the values within 3 standard deviations of the mean are given 110 to 350.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 230, \sigma = 40[/tex].
The bounds of the values within 3 standard deviations of the mean are given by X when Z = -3 and X when Z = 3, hence:
Z = -3:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-3 = \frac{X - 230}{40}[/tex]
X - 230 = -3(40)
X = 110.
Z = 3:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]3 = \frac{X - 230}{40}[/tex]
X - 230 = 3(40)
X = 350.
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I will give BRAINLIEST! ANSWER FOR 30 Points !!!!
Pleasee look at picture
What is the frequency of the tangent function represented in the graph below?
Answer CHOICES:
1 , 4 , 3 , 2
Answer:
The answer is 3
Step-by-step explanation:
You can see that it recurs faster than usual for a tan curve so 1 is eliminated and it cant be 2 or 4 because it isnt recurring equally.
Please give brainliestCould someone answer the rest please!
Much appreciated if you do (:
Answer:
shown below
Step-by-step explanation:
4 x 2 = 8
1 x 2 = 2
a⁸b²
(a⁵b²)(a²b⁶)
a⁷a⁵b⁶b²a²b⁸
a¹⁴b¹⁶
8 - 14 = -6
2 - 16 = -14
a^-6 b^-14
next one
25^3x-21
/
25^2x+14
1^x-35
If f(x) = 3x + 2 what is f(5)?
Answer:
f(1)= 3×1 + 2 = 5
....
.....
....
f(5)= 3×5 + 2 = 17
Answer:
f(5) = 17
Step-by-step explanation:
Given: f(x) = 3x + 2
We are asked to find the value of the function when the value of x is 5
Substitute 5 as the value of x in the function:
⇒ f(x) = 3x + 2
⇒ f(5) = 3(5) + 2 [multiply]
⇒ f(5) = 15 + 2 [add]
⇒ f(5) = 17
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What is 6289 round off to the nearest 1000 (thousand)????
Answer:
6230 will be answer I think
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Answer:
Well, it's to the nearest thousand, and we know that 6289 is 6 thousand 2 hundred and 89. So, you look at the number next to the thousand which is the hundreds, and as we can see that is 2. Therefore it will be 6000, as 6289 cannot be rounded to 7000 since 2 doesn't exceed 5.
So, the answer is 6000
(I don't mind being marked brainliest for this I'd just like to help someone. :)
A 20-ft by the 40-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 256 ft2, how wide is the walkway?
========================================================
Explanation:
x = width of the walkway in feet
This is some positive real number.
The dimension of 20 feet bumps up to 20+2x when adding on x from both directions. Similarly, the 40 ft dimension becomes 40+2x
Refer to the diagram below.
The 20 ft by 40 ft pool is surrounded by a larger rectangle that is 20+2x ft by 40+2x ft
The pool itself is 20*40 = 800 sq ft. Add on the walkway area to get 800+256 = 1056 sq ft.
-----------
Area = length*width
1056 = (20+2x)*(40+2x)
1056 = 20*40 + 20*2x + 2x*40 + 2x*2x ... FOIL rule
1056 = 800 + 40x + 80x + 4x^2
0 = 4x^2 + 40x + 80x + 800 - 1056
0 = 4x^2 + 120x - 256
4x^2 + 120x - 256 = 0
4(x^2 + 30x - 64) = 0
x^2 + 30x - 64 = 0
Let's use the quadratic formula to finish solving for x.
Plug in a = 1, b = 30, c = -64
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-30\pm\sqrt{(30)^2-4(1)(-64)}}{2(1)}\\\\x = \frac{-30\pm\sqrt{1156}}{2}\\\\x = \frac{-30\pm34}{2}\\\\x = \frac{-30+34}{2} \ \text{ or } \ x = \frac{-30-34}{2}\\\\x = \frac{4}{2} \ \text{ or } \ x = \frac{-64}{2}\\\\x = 2 \ \text{ or } \ x = -32\\\\[/tex]
Recall we made x be positive. This is because a negative walkway width does not make sense. This means we'll ignore x = -32.
The only practical solution is x = 2
Therefore, the walkway is 2 feet wide
