Answer:
86.4 I believe
Step-by-step explanation:
-2+3c=2x+6+x 8th Grade Math Problem-
Answer:
3c=3x+6
Step-by-step explanation:
-2+3c=2x+6+x
-2+3c=3x+6 First combine the x on the right side.
-2+3c=3x+6
+2 +2 Add 2 to both sides to eliminate 2 on the left side.
3c=3x+6
A study of 40 English composition professors showed that they spent, on average, 13 minutes correcting a student's term paper. The standard deviation was 2 min. a. Find and the 90% confidence interval for the mean grading time of all composition papers. < μ < b. intrepret the meaning of the confidence interval you found in part a. b. Does the confidence interval, at 90% confidence level, provide sufficient evidence that the mean time English composition professors spend on grading term papers exceeds 11 minutes? Write an appropriate inequality to justify your answer.
Answer:
a)
90% confidence interval for the mean grading time of all composition papers.
(12.47981 , 13.52019)
b)
Appropriate inequality
The interval is ( 12.47981 < μ < 13.52019)
Step-by-step explanation:
Explanation:-
a)
Given sample size 'n' = 40
Mean of the sample = 13 minutes
standard deviation = 2 min
level of significance = 0.10 or 90%
90% confidence interval for the mean grading time of all composition papers.
\(( x^{-} - Z_{0.1} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.10} \frac{S.D}{\sqrt{n} } )\)
\(( 13 - 1.645 \frac{2}{\sqrt{40} } , 13 +1.645 \frac{2}{\sqrt{40} } )\)
( 13 - 0.52019 , 13 + 0.52019)
(12.47981 , 13.52019)
b)
The interval is ( 12.47981 < μ < 13.52019)
Describe the graph of the quadratic function
Quadratic equations is another name for them. ax² + bx + c = 0 is the quadratic equation's general form.
What is meant by quadratic function?A polynomial of degree two in one or more variables is referred to as a quadratic polynomial in mathematics. A polynomial function that is defined by a quadratic polynomial is known as a quadratic function.
A second-degree polynomial equation, which must contain at least one squared component, is what is known as a quadratic. Quadratic equations is another name for them. ax² + bx + c = 0 is the quadratic equation's general form.
A parabola is a curved form that represents the graph of a quadratic function. A parabola's vertex is one of its focal points. Its graph's highest or lowest point is where it is. Consider it similar to the parabola's endpoint.
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15
25
15
23
15
23
17
21
21
19
15
a.) The standard deviation is(round to two decimal places)
b.) The variance is(round to one decimal place)
c.) The range is
I had $3.00
my mom gave me $10.00
my dad gave me $30.00
my aunt and uncle gave me $100.00.
i had another $7.00
how much did I have?
Answer:
$150
Step-by-step explanation:
3+10+30+100+7=150$
Enjoy you have lot of money. :-D
What is the slope of the line ?
Answer:
-1/2
Step-by-step explanation:
Hallar el conjunto solución de la siguiente inecuación: x^2-12x+36≤0
Answer:
x = 6
Step-by-step explanation:
x² - 12x + 36 ≤ 0
(x - 6)(x - 6) ≤ 0
(x - 6)² ≤ 0
x - 6 = 0
x = 6
es el único valor que cumple la condición, cualquier otro sera mayor que 0
Can it be concluded that the given parallelogram is either a rhombus, a rectangle, or a square? Explain.
Can it be concluded that the given parallelogram is either a rhombus, a rectangle, or a square?
(Picture, and answer options below)
1 From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.
2 The reason for the determination made in the previous step is A. From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.
How to explain the parallelogramThe diagonals of a parallelogram bisect each other, but this is true for all parallelograms, regardless of whether they are squares, rectangles, or rhombuses.
Therefore, the given information is not sufficient to determine whether the parallelogram is a rhombus, a rectangle, or a square.
In conclusion, from the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.
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A car is moving along a straight road it travels 150 meters in 5 sec. Then find the speed of the car?
Average speed of the car will be the total distance traveled in the total time. Taking distance travelled as 150 in 5 seconds we have average speed as. 30×1=30 m
Write 13 3/8 as a decimal
Answer:
13.375
Step-by-step explanation:
13+3/8=13+0.375
therefore
ans
=13.375
At Fancy Fruit Distributors, Inc., the ratio of fruits to vegetables sold is 5 to 3. If 1,848 pounds of vegetables are sold, how many products of fruit are sold
Answer
616
Step-by-step explanation:
So for every 5 fruits he will sell 3 vegtables. if we divde 1848 by 3 we get 616.
A fair die is rolled 10 times. Find the expected value of:a) the sum of the numbers in the ten rolls;b) the number of multiples of three in the ten rolls;c) the number of different faces that appear in the ten rolls. (Hint:Use the indicator method.LetAibe the event that theith face appears at least once.)
Answer:
a) 3.5
b) 3.33
c) \(6 - 6\left(\begin{array}{ccc}5\\6\end{array}\right)^{10}\)
Step-by-step explanation:
As given,
A fair die is rolled 10 times
a)
Expected value of Sum of the number in 10 rolls = \(\frac{1}{6}(1+2+3+4+5+6) = \frac{21}{6}\)
= 3.5
∴ we get
Expected value of Sum of the number in 10 rolls = 3.5
b)
Ley Y : number of multiples of 3
Y be Binomial
Y - B(n = 10, p = \(\frac{2}{6}\) )
Now,
Expected value = E(Y) = np = 10×\(\frac{2}{6}\) = 3.33
c)
Let m = total number of faces in a die
⇒m = 6
As die is roll 10 times
⇒n = 10
Now,
Let Y = number of different faces appears
Now,
Expected value, E(Y) = m - m\(\left(\begin{array}{ccc}m-1\\m\end{array}\right)^{n}\)
= \(6 - 6\left(\begin{array}{ccc}6-1\\6\end{array}\right)^{10} = 6 - 6\left(\begin{array}{ccc}5\\6\end{array}\right)^{10}\)
In this exercise we have to use probability knowledge to calculate the times the numbers of a roll, in this way we have to:
a) \(3.5\)
b) \(3.33\)
c) \(6-6\left[\begin{array}{cc}5\\6\2\end{array}\right] ^{10}\)
Given that a fair die is rolled 10 times:
a) Expected value of Sum of the number in 10 rolls :
\(\frac{1}{6} (1+2+3+4+5+6)= \frac{21}{6} = 3.5\)
b) Using the formula of the binomial that is represented by:
\(Y - B(n = 10, p = \frac{2}{6})\)
Expected value: \(E(Y) = np = (10)(\frac{2}{6} ) = 3.33\)
c) Looking at the 10 times the roll does, we have that it will be. Let m = total number of faces in a die that represents m = 6, as die is roll 10 times that represents n = 10. Now, Expected value:
\(= E(Y) = m - m \left[\begin{array}{cc}m-1\\m\\ \end{array}\right] \\= 6-6\left[\begin{array}{cc}5\\6\2\end{array}\right] ^{10}\)
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Gabriella made 36 cookies. She gave away 28 cookies. Use the equation 28 + c = 36 to find c, the number of cookies she kept.
c=8
Hope it helps Hve a nice day
Answer:
c=8
Step-by-step explanation:
\(28+c=36\\ 36-28=8\\ c=8\)
ABC is an equilateral triangle. A circle with radius 1 is tangent to the line
AB at the point B and to the line AC at point C. What is the side length of
ABC? Show your work?
The equilateral triangle ABC have a side length of 2 units of the radius length of the circle tangent to the line AB.
How to evaluate for the side length of the triangleAn equilateral triangle have all its side lengths equal so;
line AB = line BC = line AC
At points B and C where the lines AB and AC are tangent to the circle is the a side length BC of the equilateral triangle
Line BC form the diameter of the circle which is 2 radius of the circle so;
line BC = 2 × radius of the circle
line BC = 2 × 1
line BC = 2
Therefore, the side length of the equilateral triangle is 2 units of the radius of the circle tangent at point B and C.
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Suppose that y varies directly with x, and y = 25 when x = -5.
A) Write a direct variation equation that relates x and y
B) Find y when x = 3
Step-by-step explanation:
y=kx
25= k(-5)
k= -5
y= -5x
y = -5 ×3 = -15
Domain:
Range:
What is the domain and range?
Answer:
Domain are all values of x, or the inputs, of a function
Range is all values of y, or the outputs, of a function
Step-by-step explanation:
Answer:
Domain are all values of x, or the inputs, of a function
Range is all values of y, or the outputs, of a function
Step-by-step explanation:
please help me again )))))))))
Answer: -14/5, -2.25, 1 1/4, 3/2
Step-by-step explanation:
Answer:
-14/5, -2.25, 1 1/4, 3/2
Step-by-step explanation:
I double-checked, and I believe it's correct.
P.S, if I could get Brainliest, it'd mean a lot to me! Thanks!
In ΔABC, the measure of ∠C=90°, BC = 69 feet, and CA = 98 feet. Find the measure of ∠B to the nearest tenth of a degree.
The answer is 54.9
B=tan (98/69) B=54.8513 = 54.9
The density d of a substance is given by the formula d = m/v, where m is its mass and V is its volume.
Pyrite is
Density: 5.01g/cm
Volume: 1.2cm.
a. Solve the formula for m.
m=
b. Find the mass of the pyrite sample.
The mass is grams.
Step-by-step explanation:
a. d = m/v
m = d × v
b. m = d × v
= 5.01g/cm × 1.2cm
= 6.012g
hopefully this makes sense
:)
The mass of pyrite sample in grams will be - 6.012 grams
We have a marble whose volume is 1.2 cubic centimeter and density is 5.01 g/cm. A relation - density d of a substance is given by the formula
d = m/v is also provided.
We have to determine its mass.
Which state of matter has the highest density? Explain why?The solid state of matter has the highest density because the constituent particles are fixed and not allowed to move inside the solid. Moreover, they are bonded very close to each other.
According to the question -
Density - 5.01g/cm
Volume - 1.2cm.
Using the formula mentioned above, we get -
\($\rho = \frac{M}{V}\)
Rearranging the formula, we get -
M = ρV
M = 5.01 x 1.2 = 6.012 grams
Hence, the mass of pyrite sample in grams will be - 6.012 grams
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6x−3(6−5x)+3x=10−4(2−x)
Answer:
x =1
Step-by-step explanation:
\(6x-3\left(6-5x\right)+3x=10-4\left(2-x\right)\\\\Group\:like\terms\\6x+3x-3\left(-5x+6\right)=10-4\left(2-x\right)\\\\Add\:similar\:elements:\:6x+3x=9x\\9x-3\left(-5x+6\right)=10-4\left(2-x\right)\\\\Expand\:-3\left(-5x+6\right):\quad 15x-18\\9x+15x-18=10-4\left(2-x\right)\\\\\mathrm{Add\:similar\:elements:}\:9x+15x=24x\\24x-18=10-4\left(2-x\right)\\\\Expand\:10-4(2-x):4x+2\\24x-18=4x+2\\\\Add\:18\:to\:both\:sides\\24x-18+18=4x+2+18\\\\Simplify\\24x=4x+20\\\)
\(\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\24x-4x=4x+20-4x\\\\Simplify\\20x=20\\\\\mathrm{Divide\:both\:sides\:by\:}20\\\frac{20x}{20}=\frac{20}{20}\\\\Simplify\\x=1\)
Can you please help me?
9514 1404 393
Answer:
32
Step-by-step explanation:
Use the formula.
\(a_2=a_1\times4=2\times4=8\\\\a_3=a_2\times4=8\times4\\\\\boxed{a_3=32}\)
The ratio of the one leg of the right triangle to the other leg of the right triangle must be 8:7. Determine the greatest length of one leg of the right triangle given the other leg of the right triangle is 10.5 feet.
Answer:
534
Step-by-step explanation:
EXPLORE
The distance that the light from a lighthouse can be seen from a boat on the water is
a function of the height of both the lighthouse and the viewer above the water level.
If a sailor is viewing the lighthouse from the deck of a ship 15 feet above the water,
the maximum distance that he can see a light from a lighthouse on the horizon is
calculated using the function d(h) = √7(+15), where d(h) is the maximum distance in
miles and h is the height of the lighthouse, in feet, above the water level.
4
1.
In the 1850s, planning began for a lighthouse at Bolivar Point, Texas. Local
mariners determined that the light from the lighthouse should be visible from
a boat 14 miles offshore. Write an equation that could be used to determine
required height of the lighthouse.
15=√ 7+15
The maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.
What is a functiοn?A special kind οf relatiοn knοwn as a functiοn is οne in which each input has precisely οne οutput. In οther wοrds, the functiοn generates exactly οne value fοr each input value. Because οne is mapped tο twο different values, the abοve graph depicts a relatiοnship rather than a functiοn. Hοwever, if οne were instead mapped tο a single value, the relatiοnship mentiοned abοve wοuld becοme a functiοn.
Additiοnally, οutput values can be equal tο input values. We knοw that the square rοοt functiοn is an increasing functiοn, which means that the value οf the functiοn increases as the input value increases.
Therefοre, tο find the maximum value οf the functiοn, we need tο find the maximum value οf h.
Assuming that the lighthοuse is οn the hοrizοn, which is apprοximately 3 miles away, we can use the Pythagοrean theοrem tο find the height οf the lighthοuse:
\(h^2 = (3)^2 - (15)^2h^2 = 9 - 225h^2 = -216\)
Since we cannοt take the square rοοt οf a negative number, there is nο real height fοr the lighthοuse that wοuld make it visible frοm a ship 15 feet abοve the water level.
Therefοre, the maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.
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What is the length of AB? Help ASAP
Answer:
6/8
Step-by-step explanation:
simplify and find the slope
What is the area of the shaded region?
A. 3/5 sq ft
B. 5/16 sq ft
C. 5/24 sq ft
D. 3/20 sq ft
Answer:
B- 5/16 sq ft
Step-by-step explanation:
Their are 48 tiles total
15/48 are shaded so,
48 and 15 both go into 3,
15÷3= 5
48÷3=16
So then answer would be 5/16 sq ft
Carly tried to solve an equation step by step. 7a=28 Step 1: 7a/a = 28/7 Step 2: 7 = 4 Find Carly's mistake A: Step 1 B: Step 2 C: Carly did not make a mistake.
This are the right steps
Step 1: first you divide the both size by 7 because there is 7 a's
7a/7 = 28/7
Step 2: You solve the equation
7a/7= a. 28/7 = 4
So, the answer is a = 4
not 7 = 4
Carly did a mistake in Step 1, as she divides the two sides of the equation by different quantities (she divided the left side of the equation by a and the right side of the equation by 7), but we are supposed to follow the same operations on both sides of the equation. Hence, option A: Step 1 is the right choice.
How are linear equations in one variable solved?To solve linear equations in one variable, we isolate the variable to one side of the equation and simplify the other side to get the solution for the equation.
In the process of isolation, the operations performed on one side of the equation have to be performed on the other side too.
How to solve the question?In the question, we are informed that Carly tried to solve an equation step by step. 7a=28 Step 1: 7a/a = 28/7 Step 2: 7 = 4.
We are asked to find the mistake that Carly did in solving the equation.
We first try to solve the equation: 7a = 28.
Step 1: 7a/7 = 28/7 {Dividing both sides by 7}
Step 2: a = 4 {Simplifying}.
Thus, we can see that Carly did a mistake in Step 1, as she divides the two sides of the equation by different quantities (she divided the left side of the equation by a and the right side of the equation by 7), but we are supposed to follow the same operations on both sides of the equation. Hence, option A: Step 1 is the right choice.
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Dividing by Multiples of 10 When dividing a number by 10, where is the decimal point moved? PLEASE HELP!
When dividing a number by 10, the decimal point is moved one place to the left.
What is the arithmetic operation?
Arithmetic operations involve the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.
When dividing a number by 10, the decimal point is moved one place to the left.
For example, if we divide 345.67 by 10, the result is 34.567.
Similarly, if we divide 345.67 by 100, the result is 3.4567.
If we divide 345.67 by 1000, the result is 0.34567.
In general, if we divide a number by 10^n (where n is a positive integer), the decimal point is moved n places to the left.
For example, if we divide 345.67 by 10^4, the result is 0.034567.
Hence, When dividing a number by 10, the decimal point is moved one place to the left.
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Mr. Argo went to dinner with a friend at Outfront Steakhouse. His dinner cost $40, and he left a 20% tip. What was his total cost?
Answer = $
Help please.
Answer: 48$
Step-by-step explanation:
20% of 40$ is 8$ so its 48$
Answer:
what the other guy said, 48$
Step-by-step explanation:
help please i need this for homework
Answer:
It costs 50
Step-by-step explanation:
I think this is right
Which expression are equivalent to x/3x times 8x/3x? There are 2 answers!!!
•8x^2/9x^2
•8x^2/3x
•8x/3, for x=0
•8/9, for x=0
The expressions equivalent to (x/3x) * (8x/3x) is 8/9 and 8x² / 9x².
What is equivalent fraction?Equivalent fractions are those that, despite their visual differences, reflect the same value given the equation.
How to find the equivalent fraction?By multiplying the numerator and denominator of each fraction by the same number, we can determine the equivalent fraction for each fraction.
(x/3x) * (8x/3x)
Multiplying the numerator and denominator:
= (x * 8x)/(3x * 3x)
= 8x² / 9x²
Further simplifying the equation:
= 8/9
The expressions equivalent to (x/3x) * (8x/3x) is 8/9 and 8x² / 9x²
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