Answer:
-6x-10=20
Collect like terms
-6x=20+10
-6x=30
Divide both sides by -6
x=30/6
x=5
Which of the following is a statistical question that can result in numerical data?
What is the name of your favorite pizza store?
How many hours this week did you spend on homework?
How many times did you go swimming this year?
How many pink erasers do the students in your class have?
A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).
The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".
These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).
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Answer:
How many pink erasers do the students in your class have?
round 4,719,429 to the nearest 10,000 pls
Answer:
4,720,000
Step-by-step explanation:
Answer:
4,720,000
Step-by-step explanation:
you want to round to the nearest 10,000 so in 4,719,429 you look at the nine. If that number is bigger than 5 you round up. 9 is bigger than 5, so it rounds to 4,720,000
A population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. If the population increases by the same percentage between 2011 and 2012, what will the population be in 2012
Answer: 1,599,960
Step-by-step explanation:
Since the population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. The percentage increase in population will be:
= (1.2 million - 900000) / 900000 × 100
= 300000/900000 × 100
= 33.33%
Since the population increases by the same percentage between 2011 and 2012, then the population in 2012 will be:
= (100% + 33.33%) × 1.2 million
= 133.33% × 1.2 million
= 1.3333 × 1.2 million
= 1,599,960
The population in 2012 is 1,599,960
Find the missing side and angles.
Answer:
Step-by-step explanation:
This is an equilateral triangle.
The altitude bisects the 60 degree angle, so a=30
b=60 since its an interior angle of the isosceles triangle.
e = 4 since the two triangles formed by the altitude are congruent.
c = 8 since the side length is 4 + 4 = .
f = 4sqrt3 by the properties of 30 60 90 triangles.
HELPPPPP SUPER FAST!
Answer:
518
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
8d³ + 16e² ÷ f - 2
d = 4, e = 2, f = 8
Step 2: Evaluate
Substitute in variables: 8(4)³ + 16(2)² ÷ 8 - 2Exponents: 8(64) + 16(4) ÷ 8 - 2Multiplication: 512 + 64 ÷ 8 - 2Division: 512 + 8 - 2Addition: 520 - 2Subtraction: 51826-14 divided by 2+5x7=
Please show me how to do it.
Answer: 0.32432432432
Step-by-step explanation:
5x7=35
35+2=37
26-14=12
12/37= 0.32432432432
Jack is taller than Pater and Bill is shorter than Jack. what is accurate?
Bill is taller than Peter
I need help with this
I don’t get it
3.
The value of x is 20°
The value of y is 30.
4.
The value of x is 30°
The value of y is 4.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
3.
An equilateral triangle.
Where all three angles and all three sides are equal and the angle is 60°.
Now,
16 + y = 46
y = 46 - 16
y = 30
And,
180 - 80° = 100°
The sum of the angles must be 180°.
x + 100 + 60 = 180
x = 180 - 160
x = 20°
4.
We have an equilateral triangle and an isosceles triangle.
All the angles in the equilateral triangle are 60°.
The two angles opposite to the equal sides of the isosceles triangle are equal.
So,
5y = 20
y = 4
And,
In the isosceles triangle.
The straight angle.
60 + angle = 180
angle = 180 - 60
angle = 120.
Now,
The sum of the angles of the isosceles triangle = 180.
2x + 120 = 180
2x = 60
x = 30°
Thus,
3.
The value of x and y is 20° and 30.
4.
The value of x and y is 30° and 4.
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y=9/4×2
sketch the graph of f and f on the same set of axes
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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Mr. Thomas wants to buy a suit priced $120. He receives a 25% discount, and then there is a 7% sales tax. How much did Mr. Thomas spend on the suit?
Answer:
He will spend $96.30
Step-by-step explanation:
120(.25)
120-30
90(.07)
90+6.30
96.30
Mariah brought a rug that was 8 ft long and 5 ft wide. What is the area of the rug?
We've been given the length of the rug to be 8ft;
Also, the width of the rug is given as 5ft;
To find the area of the rug, we have to multiply the length of rug by the width;
\(\begin{gathered} \text{Area of the rug = length of the rug x width of the rug} \\ \text{ = 8 x 5} \\ \text{ = 40ft}^2 \end{gathered}\)Therefore, the area of the rug is 40ft^2 (square feet).
A point is randomly chosen in the circle shown below.
In which region of the circle is the point certain to be chosen?
in region A
in regions C or D
in region E
in a region with a letter
Answer: in a region with a letter
Step-by-step explanation:
we cannot predict for sure what will happen when we plot the random point.
Answer:
A certain answer would be in a region with a letter
Step-by-step explanation:
All the sections have letters so, no matter what letter, the point would land in a section with a letter.
the function get list of powers takes in a list x and integer k and returns a list l whose elements are themselves lists. the ith element of l contains the powers of x[i] from 0 to k. for example, running get list of powers with inputs x
The function will use the formula x^i, where x is the element in x and i is the power.
Let x = [2, 3] and k = 3.
The function get list of powers will calculate the powers of each element in x, from 0 to k.
For the given example, the list of powers will be l = [[1, 2, 4, 8], [1, 3, 9, 27]].
The first element in l is the powers of 2 from 0 to 3, which are 1, 2, 4, and 8. The second element in l is the powers of 3 from 0 to 3, which are 1, 3, 9, and 27.
To calculate these powers, the function will use the formula x^i, where x is the element in x and i is the power.
For example, to calculate 8 (2^3), the function will use the formula 2^3.
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the perimeter of a triangle is 32 feet. One side of the triangle is 11 feet longer than the second side. The third side is 9 feet longer than the second side. Find the length of each side.
Answer:
One side - 15 feet
Second side - 4 feet
Third side - 13 feet
Step-by-step explanation:
Let's call the sides A B and C, respectively.
We know that:
A = B + 11
C = B + 9
and that
A + B + C = 32
Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.
A + B + C = (B + 11) + B + (B + 9) = 32
3B + 20 = 32
3B = 12
B = 4
The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).
What way can you simplify this equation?
Answer: 8√2
Step-by-step explanation:
The cost of 5 hats and 1 scarf is $47. The cost of 2 hats and 2 scarves is $40. How much does one hat cost?
Answer:
6.75
Step-by-step explanation:
h=hat, s=scarf
5h + 1s = $47 (equation 1)
2h + 2s = $40 (equation 2)
multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)
equation 3 minus equation 2, we get:
8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75
substitute h = $6.75 into equation 2 to find s,
2($6.75) + 2s = $40
$13.5 + 2s = $40
2s = $26.5
s = $13.25 ⇔ 1 scarf cost $13.25
Which of the following would you see on a circle graph?
OA. Percentages
OB. Bars
C. Points
OD. A y-axis
A, percentages
You would see percentages on a circle graph, because it's how many parts of the whole that they take up.
Happy to help, have a great day! :)
expand 2x(3x+2y) thank you
Answer:
6x^2+4xy
Step-by-step explanation:
You distribute the 2x by multiplying it with each term
2x(3x)+ 2x(2y)
6x^2+4xy
hopes this helps please mark brainliest
Which ordered pair is a solution of the equation shown? A.-3/4,- 1/2 B. 0,3/4 C.4/3, 1/2 D. 4, 3/2
pls hurry = 50 point
Answer:
the answer is b, c, d, a, respectively
PLEASE HELP MAJOR HELP DUE AT 12AM What happened to get to each step in solving the equation? 1x + x = 180 - 2 Step 1: = 180 – 2 Step 2: * = 180 Step 3: 3 = 72
Answer:
First step: Combined like terms on left side
Second step: Combined like terms on both sides
Third step: Simplified y multiplying both sides by 2/5
Chris is shopping for his sister's birthday cake. He buys 4 bottles of sprinkles that cost $4 each, and 2 boxes of candles cost $5 each. How much does Chris spend total?What equation could you write to help you solve this problem?A: (4+4) × (2+5)=?B: (4×4) + (2×5)=?C: (4×4) ÷ (2+5)=?D: (4÷4) + (2÷5)=?
1) Gathering the data
Chris buys
4 bottles of sprinkles = 4 x 4
2 boxes of candles cost $5 each = 2 x 5
2) Then we can write that
(4x4) + (2x5)
16 +10
26
3) So the answer is B: (4×4) + (2×5)=$26
Solve. Write your answer in interval notation.
5x+3<−27 or 3x+3≥18
Answer:
(-∞, 6) or [5, ∞)
Step-by-step explanation:
subtract 3
5x< -30 or 3x ≥ 15 .
divide
x < 6 or x ≥ 5
there is a safety fence around a circular pool with a gate the gate is 150cm wide
Answer:
The length of the fence is 6.28x-150 cm.
Step-by-step explanation: ... Since the pool is in a circular shape so the circumference will be the length of the fence.
Tina will roll the cube, spin the spinner, and flip the coin one time each to form an outcome.
How many unique outcomes are possible where the number on the cube is greater than 3?
Answer:
3
Step-by-step explanation:
A cube will have six sides, therefore the numbers would run from 1 to 6 on a cube. There are only 3 numbers after 3 up until 6. So it is 3.
The total number of possible outcomes for the probability is P = 24 outcomes
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Rolling a cube: A standard six-sided cube has numbers 1 through 6. However, we are only interested in outcomes where the number on the cube is greater than 3.
So there are only 3 possible outcomes: 4, 5, or 6.
Spinning a spinner: The number of possible outcomes on a spinner depends on the specific spinner being used. Now , the spinner has 4 equally likely outcomes: A, B, C, and D.
Flipping a coin: A standard coin has 2 sides: heads (H) and tails (T). So there are 2 possible outcomes.
Multiplying the number of outcomes for each event, we get:
Number of outcomes for rolling a cube: 3
Number of outcomes for spinning a spinner: 4
Number of outcomes for flipping a coin: 2
Total number of possible outcomes: 3 x 4 x 2 = 16
Hence , there are 24 unique outcomes possible where the number on the cube is greater than 3
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The complete question is attached below :
Tina will roll the cube, spin the spinner, and flip the coin one time each to form an outcome.
How many unique outcomes are possible where the number on the cube is greater than 3?
An experiment was conducted to test the effect of a new cholesterol medicine. Fifteen people were treated with medicine X and 15 with medicine Y for a month; then the subjects' cholesterol level was measured. A significance test was conducted at the α = 0.01 level for the mean difference in cholesterol levels between medicine X and medicine Y. The test resulted in t = 2.73 and p = 0.003. If the alternative hypothesis in question was Ha: μX − μY ≠ 0, where μX equals the mean cholesterol level for subjects taking medicine X and μY equals the mean cholesterol level for subjects taking medicine Y, what conclusion can be drawn?
Considering the hypothesis tested and the p-value of the test, the correct option is given by:
There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference between the cholesterol levels, that is:
H₀:Hₓ-H
At the alternative hypothesis it is tested if there is a difference, hence:
H₀:Hₓ-H≠0
The p-value is of 0.003 < 0.01, hence we reject the null hypothesis and conclude that there has was a difference, hence the correct option is given by:
There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.
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√2x² + 7x + 5√2 = 0
find the roots of the following quadratic equation by factorization method
PLS HELP ME FAST
Step-by-step explanation:
√2x² + 7x +√2=0
2x + 7x + √ 2 =0
√2=9x
x = o.15713484
A box contains 54 coins which are either 20-cent coins or 50-cent coins. If the total value of all the coins is $20.70, find the number of 20-cent coins in the box. LOF 1 11.
Number of 20-cent coins in the box are 33.
1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.
2. We can set up two equations based on the given information:
- x + y = 54 (since the total number of coins in the box is 54)
- 0.20x + 0.50y = 20.70 (since the total value of all the coins is $20.70)
3. We can multiply the second equation by 100 to get rid of the decimals:
- 20x + 50y = 2070
4. Now, we can use the first equation to express y in terms of x:
- y = 54 - x
5. Substitute the value of y in the second equation:
- 20x + 50(54 - x) = 2070
6. Simplify and solve for x:
- 20x + 2700 - 50x = 2070
- -30x = -630
- x = 21
7. Substituting the value of x back into the first equation:
- 21 + y = 54
- y = 33
8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.
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The length of ribbons found at a seamstress are listed.
3, 11, 11, 13, 13, 21
What is the appropriate measure of variability for the data shown, and what is its value?
The mean is the best measure of variability and equals 11.
The median is the best measure of variability and equals 11.5.
The range is the best measure of variability and equals 18.
The IQR is the best measure of variability and equals 2.
Which is a correct description of the graph below?
-2
2T
TT
π
y = sin shifted to the right by units
the graph of y = sin shifted to the right by units
the graph of y = sin
shifted to the left by units
O y = cos(0-5)
The answer is the first option.
The function of the cosine of the angle θ is correct. Then the correct option is D.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
It is a function that repeats itself in a particular time interval.
The graph of the sine of the angle θ is drawn below.
If the sine of the angle θ is shifted rightward by π units. Then the graph is obtained.
And if the cosine of the angle θ is shifted leftward by π units. Then the graph can also be obtained.
But the function of the cosine of the angle θ is correct. Then the correct option is D.
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Sarah has been an exemplary employee! The library has given her a 5% raise in recognition of
her hard work. If Sarah normally has a net salary of $212.50, what will Jessica’s net salary be now?
Remember, you calculated that 15% of Sarahs gross salary is withheld each week.
The correct value of Jessica's new net salary will be $225.
To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.
Let's denote Sarah's gross salary as "G." We can set up the following equation:
G - 15% of G = $212.50
Simplifying the equation, we have:
G - 0.15G = $212.50
0.85G = $212.50
G = $212.50 / 0.85
G ≈ $250
Sarah's gross salary is approximately $250.
Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:
Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary
Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250
Jessica's net salary = $250 + $12.50 - $37.50
Jessica's net salary = $225
Therefore, Jessica's new net salary will be $225.
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