Answer:
Step-by-step explanation:
In a square, each angle is 90.
11x - 32 = 90
Add 32 to both sides
11x = 90 +32
11x = 122
x = 122/11
x = \(11\frac{1}{11}\)
Everyone in the population must have an of being selected in order for a sample to be an
Answer: Everyone in your population must have an equal, non-zero chance of being selected. (In other words, everyone has an equal chance of receiving a survey.) You must know, specifically, what that chance of being selected is for each person.
Graph any third-degree polynomial (a cubic graph) that has exactly one x-intercept, a relative/global minimum at (-2.1), and a relative/
global maximum at
(4,3)
Step-by-step explanation:
A notable ______ of the symposium was the speech by a famous entrepreneur.
What is Express the difference in simplest form. 3 1/2 - 1 7/8
Answer:
2-6
Step-by-step explanation:
A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.5 ounces and standard deviation of 0.5 ounces. Examine the figure below and answer the following questions.
a.) Estimate the probability that the machine will overflow an 8-ounce cup. (Round your answer to two decimal places.)
b.) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal places.)
c.) The machine has just been loaded with 300 cups. How many of these do you expect will overflow when served?
The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?
0.1587*850 = 134.857..
How to solveA vending machine automatically pours soft drinks into cups.
The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6oz and a standard deviation of 0.4oz.
Examine figure 7.- and answer the following questions.
a) estimate the probability that the machine will overflow an 8oz cup.
Procedure:
Determine the z-score for 8
z(8) = (8-7.6)/0.4 = 0.4/0.4 = 1
P(x>8) = P(z>1) = 0.1587..
-----------------------
b) Estimate the probability that the machine will not overflow an 8oz cup.
P(z<1) = 1 - 0.1587 = 0.8413..
-----------------
c) the machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?
0.1587*850 = 134.857..; Rounded down you get 134 cups
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The expression 0^-4 =
in simplifed form?
Answer:
∞
Step-by-step explanation:
1. Simplify the expression
\(0^-4\)
2. Simplify exponents and square roots
\(0^-4\)
\(_{ \infty}\)
Why learn this:
Order of operations is a basic rule of algebra. It tells us what to solve first when we have an equation with multiple functions, which is something that you will likely encounter throughout your maths studies. The order is: Parentheses, Exponents, Multiplication and Division, then finally Addition and Subtraction. Remember that when you're solving within the parentheses, the Order of Operations applies!Terms and topics:
Order of operationsCan someone help me please!
9514 1404 393
Answer:
B, C, E
Step-by-step explanation:
Distributing the minus sign in the given expression results in ...
6x +1 -3x -(-1)
6x +1 -3 +1 . . . . simplify
The two expressions that show the constant terms as +1 - 1 are erroneous. The two constant terms are +1 -(-1) or +1 +1.
The correct expressions are the 2nd, 3rd, and 5th ones (b, c, e).
What is mathematics. why is it important?
Mathematics provides a framework for developing critical thinking, problem-solving, and analytical skills that are valuable in many aspects of life.
What is mathematics?
Mathematics is a fundamental discipline that plays a crucial role in our daily lives and in shaping our understanding of the world.
Mathematics is a field of study that deals with the properties and relationships of numbers, quantities, shapes, and patterns. It involves using logical reasoning, abstraction, and symbolic manipulation to understand and solve problems related to these concepts.
Mathematics is important for many reasons. First and foremost, it is a fundamental tool for understanding and describing the world around us. It plays a crucial role in science, technology, engineering, economics, finance, and many other fields by providing tools for modeling and analyzing complex phenomena.
Mathematics is also essential for making accurate predictions and decisions based on data and evidence, as well as for designing and optimizing systems and processes.
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A researcher at a major clinic wishes to estimate the proportion of the adult population of the United States that has sleep deprivation. What size sample should be obtained in order to be 99 % confident that the sample proportion will not differ from the true proportion by more than 4%? Round up to the nearest whole number.
The sample size needed to be 99% confident that the sample proportion will not differ from the true proportion by more than 4% is given as follows:
n = 1037.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The margin of error is given as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.
As we have no estimate, the parameter is given as follows:
\(\pi = 0.5\)
Then the sample size for M = 0.04 is obtained as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.04 = 2.575\sqrt{\frac{0.5(0.5)}{n}}\)
\(0.04\sqrt{n} = 2.575 \times 0.5\)
\(\sqrt{n} = \frac{2.575 \times 0.5}{0.04}\)
\((\sqrt{n})^2 = \left(\frac{2.575 \times 0.5}{0.04}\right)^2\)
n = 1037.
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Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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Which function has a greater maximum?
�
(
�
)
=
−
2
(
�
+
4
)
2
+
1
f(x)=−2(x+4)
2
+1f, left parenthesis, x, right parenthesis, equals, minus, 2, left parenthesis, x, plus, 4, right parenthesis, squared, plus, 1
A coordinate plane. The x- and y-axes both scale by one. The graph is the function y equals g of x which is a parabola that opens down. The function increases through negative four, negative five and negative three, negative two. It has a maximum at negative two, one, then the function decreases through negative one, negative two and zero, negative five.
The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.
1. The given function is f(x) = \(-2(x+4)^2\) + 1.
2. To find the maximum of the function, we need to determine the vertex of the parabola.
3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.
4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.
5. The x-coordinate of the vertex is given by h = -4.
6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.
7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.
8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).
9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.
10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.
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PLSSS THO Write an equation that matches the graph shown below for the number of days, d, in any number of weeks, w.
Answer:
d= 7w, if you are looking for a slope intercept form
determine the domain of each function R(x) = -√2x
Answer:
The function is given by,
f(x)=
x
2
+x−2
2x−3
The function is represented as, f(x)=
q(x)
p(x)
where, p(x)=2x−3 and q(x)=x
2
+x−2
Domain of the function is given as,
dom[f(x)]=R−{x:q(x)=0}
Put q(x)=0
∴x
2
+x−2=0
∴x
2
+2x−x−2=0
∴x(x+2)−1(x+2)=0
∴(x+2)(x−1)=0
∴x+2=0 or x−1=0
∴x=−2 or x=1
Thus, domain of the function is,
dom[f(x)]=R−{−2,1}
Drag and drop the number to match the division problem to its quotient.
Answer:
The correct number is -27.
Step-by-step explanation:
-81 ÷ 3 = -27
Decide whether it would be more convenient to solve the system of equations by substitution or elimination.
{−2x/3−15y=−6, 10x−6y=−4
Select the correct answer below:
elimination
substitution
Answer:
I would use elimination in this scenario. Because in both equations there is a coefficient on both variables, it would be difficult to isolate one variable and would leave the equation as a fraction. Instead, use elimination. Multiply the first equation by -15, which changes it to 10x + 225y = -90, and then subtract the second equation, thus cancelling out the 10x's and letting you solve for Y. Hope this helps!
QUESTION IN PICTURE
Please explain your answer in steps, thank you.
We can complete the blanks with the following ratios:
(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags
Since we do not need a flag at the starting line, then 32 flags will be required in total.
How to obtain the number of flagsTo solve the problem, we would first convert 400 yds to feet and miles.
To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.
To convert to miles, we would have 0.227 miles.
Now, we divide the entire race distance by the number of miles divisions.
This gives us:
7.5 mi /0.227 mi
= 33 flags
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Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
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Janet has 8 points after the first round of the same game. how far does she travel to get to 2 points?
Answer:
Step-by-step explanation:
8-2=6
answer is 6
Answer:
2 x 4
Step-by-step explanation:
She need to travel 4 times before she reach the same points again
Solve for the value of v
Answer:
v = 31
Step-by-step explanation:
The 2 angles are adjacent and lie on a straight line, so sum to 180° , that is
4v - 2 + 2v - 4 = 180
6v - 6 = 180 ( add 6 to both sides )
6v = 186 ( divide both sides by 6 )
v = 31
Please help asap!! These line plots show the results of a survey of 10 boys and 10 girls about how many hours they slept the previous night. Show your work for credit!
What are the Medians?
The median number of hours slept by boys the previous night is 6.5 hours, while the median number of hours slept by girls the previous night is 7 hours.
The given line plots display the results of a survey of 10 boys and 10 girls regarding the number of hours they slept the previous night. To find the median, follow these steps:Put the observations in ascending order.Divide the data into two equal parts.
To locate the median of the data, find the value that is at the center of the data when ordered.To calculate the medians of the given line plots, we must first arrange the observations in ascending order and divide them into two equal parts.
We have 10 boys and 10 girls in total, so we will have 20 observations for each line plot: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10When arranged in ascending order,
the observations are as follows: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10 Now,
we must determine the medians for each data set. Since each data set has an even number of observations, the median is the average of the two middle values.
The medians for each data set are as follows: Boys’ line plot: (6 + 7) / 2 = 6.5Girls’ line plot: (7 + 7) / 2 = 7
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If EB = 6.2, CD = 3.3, and ED= 6.2, what is the
value of BD?
f EB = 6.2, CD = 3.3, and ED= 6.2, then the value of B is 6.6.
What is isosceles l triangle?An isosceles triangle is a type of triangle with two sides of equal length. Two opposite angles of an isosceles triangle with equal sides are equal in size. In geometry, a triangle is a three-sided polygon that is classified into three categories based on its sides, for example:
Scalene Triangle (all three sides are unequal) Isosceles triangle (only two sides are equal) Equilateral triangle (all three sides are equal)Properties of an isosceles triangle
Since two sides of this triangle are equal, the unequal side is called the base of the triangle. The angles opposite two equal sides of a triangle are always equal. An isosceles triangle is measured from the base of the triangle to the apex .The third angle of a perfect triangle is 90 degrees.Therefore,
EB = 6.2
ED = 6.2
So EB=ED
ΔEBD is isosceles triangle and ∠BCE is right angle
so C is middle point of BD
Hence, BD = 2CD
= 2X 3.3
= 6.6
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Nataile has one pound of hamburger. If she uses 2/3 Ib on Monday and 1/4 Ib on Tuesday. How much hamburger will be left over?
21) Kinzang is 1.49 m tall. He was 0.53 m at birth. How much did he grow?
Kinzang grew 0.96 meters.
We have,
To find how much Kinzang grew, we need to subtract his height at birth from his current height:
Height Kinzang grew = Current height - Height at birth
Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m
Therefore,
Kinzang grew 0.96 meters.
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HELP ON NUMBER 2 PLEASE
c
step by step explanation
hope this helps
Answer:
its C
Step-by-step explanation:
if u need some explanation just ask
Make t the subject of the formula p = 4t+1/2-t
Answer:
t = (p - 1/2)/3
Step-by-step explanation:
p = 4t + 1/2 - t
combine like terms:
p = 3t + 1/2
subtract 1/2 from each side of the equation:
3t = p - 1/2
divide both sides by 3:
t = (p - 1/2)/3
Please help me find the area (show work)
Answer:
Area: 107.625 feet squared
Step-by-step explanation:
A = 8+13/2 (10.25)
A = 21/2 (10.25)
A = 10.5 (10.25)
A = 107.625 feet squared
-3(x+4) I have no idea
Answer:
The simplified version of this equation is -3x - 12.
Step-by-step explanation:
To simplify this equation, distribute -3 to both x and 4.
-3(x+4) = -3x -12
Answer:
-3x-12 as an expression
Step-by-step explanation:
To solve this problem, we need to distribute!
Multiply -3 by both the x and the 4
When we do this, we get:
-3x and -12
Note: when you multiply a positive by a negative, you get a negative so it turns into a negative number
Note 2: When you see an x without a number in front of it, it becomes 1x. In this problem, that is why it is a -3x because -3 x 1 is -3
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If f(x) = (x + 9)?, which statement about f(x) is true?
f(x) is an even function for all values of m.
f(x) is an even function for all even values of m.
f(x) is an odd function for all values of m.
f(x) is an odd function for all odd values of m.
Answer:
I think the Answer is "f(x) is an even function for all even values of m."
Step-by-step explanation:
Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
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Traingle PQR is shown below a rotation of 180 about point M followed by a dilation centered at M with scale factor 2 is applied to the plane what is the measure of angle R’ in the resulting triangle of P’Q’R’
Answer:
Step-by-step explanation:
Cannot give you the number because we are not given the diagram.
However, it will be exactly the same as the measure of angle R in the original triangle PQR.
Rotation and dilation do not change angles.