Answer:138
Step-by-step explanation:
I just took the test
The number of people who score 90 or less is 138, option B is correct.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Let us find the proportion of people in the group of 400 who score 90 or less on the memory test.
Given that the scores are normally distributed with a mean of 100 and a standard deviation of 25.
Using a z-score table, we can find the z-score corresponding to a raw score of 90 as follows:
z = (90 - 100) / 25 = -0.4
The area under the standard normal distribution curve to the left of z = -0.4 is 0.3446, which represents the proportion of people who score 90 or less on the memory test.
Therefore, the number of people who will score 90 or less is:
0.3446 x 400 = 137.84
Hence, the number of people who score 90 or less is 138, option B is correct.
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please helpp with my math question
Answer:
11.1
Step-by-step explanation:
sin 46 · x = 8
0.71934 x = 8
x = 8/0.71934
x = 11.121306
I WILL MARK BRAINLIEST IF CORRECT!!
Home values are expected to decreased by 3% per year. Hadlee Recently purchased a home for $200,000. Which of the following equations can be used to represent the value of the home x years after the purchase?
A) f(x) = 200000(1.03)^x
B) f(x) = 200000(0.97)^c
C) f(x) = 3(1.03)^x
D) f(x) =3(0.97)^x
Answer:
B
Step-by-step explanation
Multiplying by 0.97 will decrease $200,000 to $194,000.
^c is x years after the purchase, so having (0.97)^c will make the $200,000 value decrease more and more.
Why is it called a median?
Both median and mean originate from the Latin medianus, meaning in the middle, the former by way of the Anglo-French meiene. Median is the middle number in a sorted list of numbers. To determine the median value in a sequence of numbers, the numbers must first be sorted, or arranged, in value order from lowest to highest or highest to lowest.
In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value. The basic feature of the median in describing data compared to the mean (often simply described as the "average") is that it is not skewed by a small proportion of extremely large or small values, and therefore provides a better representation of a "typical" value. Median income, for example, may be a better way to suggest what a "typical" income is, because income distribution can be very skewed.
The median is of central importance in robust statistics, as it is the most resistant statistic, having a breakdown point of 50%: so long as no more than half the data are contaminated, the median is not an arbitrarily large or small result.
This is why it is called a median.
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Multiple choice math
Answer:
d. f(x) → +∞, x → +∞; f(x) → -∞, x → -∞
Step-by-step explanation:
You want the end behavior of the cube root function f(x) = 2∛x +3.
Cube rootThe vertical translation upward 3 units can be ignored when considering the end behavior. The sign of a cube root matches the sign of the argument, so the signs of x and f(x) will match when both get large.
f(x) → +∞, x → +∞; f(x) → -∞, x → -∞
What is the formula for volume of cylinder if r radius H height?
consumer reports rated airlines and found that 71% of the flights involved in the study arrived on time (i.e., within 15 minutes of scheduled arrival time). assuming that the on-time arrival rate is representative of the entire commercial airline industry, consider a random sample of 213 flights. (round your answers to two decimal places.) what is the expected number that will arrive on time? what is the standard deviation of this distribution?
The expected number that will arrive on time is; 151.23
The standard deviation of this distribution is; 6.62
How to find the mean and standard deviation?We are given;
Percentage of the flights involved in the study arrived on time; p = 71% = 0.71
Sample size; n = 213
Now, the formula for the mean which is the expected number that will arrive on time is;
μ = np
μ = 213 * 0.71
μ = 151.23
The formula for the standard deviation of the distribution is;
σ = √(np(1 - p))
σ = √(213*0.71(1 - 0.71))
σ = 6.62
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What is a graph of a system of linear inequalities?
The graph of linear inequalities is straight line bounded by solid or dashed region.
why graphing system of linear inequalities is different?The graphing system of linear inequalities is different from linear eqaution because of using equal to inequal sign such as ≥ and ≤ or inequal sign < and >.
How to identify the difference?when we plot the poins on XY axis we get a straight line. The region that satisfy the inequalities of variables are bounded by either solid line or dashed line.
hence, the graphing system of linear variables has shaded portion where straights line is the boundary.
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What is the expression in rational exponent form?
√4xy²
Answer:
4xyxy
Step-by-step explanation:
there is a baby 2 so add 2 more x and y. ;)
What do we mean by integral?
In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or a new function, the derivative of which is the original function (indefinite integral).
What is integral in math?The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.
Integral is a term derived form the word integration. Integration in calculus is the opposite of differentiation
Integration is used to get the whole by combining combine slices or smaller portions.
Finding areas, volumes, central points, and many other important things may be done with integration. However, it is simplest to begin by calculating the distance between a function and the x-axis.
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Each of the following tables defines a relationship between an input x and an output y. Which of the relationships represent functions? table a x -8 -3 0 6 y 24 4 9 72 table b x 9 15 24 38 y -14 -16 53 29 table c x 15 24 24 100 y -16 53 29 7 table d x -8 6 0 6 y 24 4 9 72 a. Table a and table c b. Table a and table b c. Table b and table c d. Table c and table d.
Table a and table c defines a relationship between an input x and an output y of function.
A function is a set of ordered pairs (x, y) in which each value of x corresponds to exactly one value of y. In other words, for a given value of x, there should be only one corresponding value of y.
Looking at the tables, we can see that Table a and Table d both satisfy this condition. In both tables, for each value of x, there is only one corresponding value of y. Therefore, Tables a and d represent functions.
Table b and Table c do not satisfy this condition, because there are multiple values of y for some of the values of x.
For example, in Table b, the value of x is 24 for both (24, 53) and (24, 29). Similarly, in Table c, the value of x is 24 for both (24, 53) and (24, 29). Therefore, Tables b and c do not represent functions.
Therefore table a and table c represents function of input x and output y.
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A function is a collection of ordered pairs (x, y) where each x-value is matched up with exactly one y-value. In other words, there should only be one value of y that corresponds to a certain value of x.
We can see from the tables that Tables a and Table d both meet this requirement. In both tables, there is only one value of y that corresponds to each value of x. Tables a and d so depict functions.
Because there are many possibilities of y for some of the values of x, Tables b and c do not meet this requirement.
For instance, the value of x in Table b is 24 for both (24, 53) and (24, 29). The value of x is 24 in Table c for both (24, 53) and (24, 29). Tables b and c do not, therefore, represent functions.
Tables a and c therefore show the function of input x and output y.
What is a set in UK school?
Sets are a collection of well-defined objects or elements. A set is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set in a curly bracket {…}.
Now, According to the question :
Sets are a collection of well-defined objects or elements. A set is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set in a curly bracket {…}. For example, set A is a collection of all the natural numbers, such as A = {1,2,3,4,5,6,7,8,…..∞}. Also, check sets here.
Sets can be represented in three forms:
1. Roster Form: Example- Set of even numbers less than 8={2,4,6}
2. Statement Form: Example-A = {Set of Odd numbers less than 9}
3. Set Builder Form: Example: A = {x: x=2n, n ∈ N and 1 ≤ n ≤ 4}
What are the types of Sets?
A set has many types, such as;
1. Empty Set or Null set
2. Finite Set
3. Infinite Set
4. Equal Set
5. Subsets
6. Universal Set
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What is the 4 types of arithmetic?
Addition, subtraction, multiplication and division are four type of arithmetic
Mention other arithmetic.Beside mentioned above exponential and modulus operations are also arithmetic
Why it is called arithmetic?The Greek noun arithmos, which means "number," is where the word arithmetic ultimately comes from. Along the way, it also appeared in Latin, Anglo-French, and Middle English. Even elementary mathematics has a rich vocabulary. Addition, subtraction, multiplication, and division are the four fundamental arithmetic operations.
So addition,multiplication, subtraction and division are 4 types of arithmetic
2+2=4
2*2=4
2/2=1
2-2=0
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Select all the true statements. a. if vertical angles are congruent, then two lines cut by a transversal are parallel. b. if two parallel lines are cut by a transversal, then corresponding angles are congruent. c. if two parallel lines are cut by a transversal, then alternate interior angles are congruent. d. points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints. e. points on a perpendicular bisector of a line segment are never equidistant from the segment’s endpoints.
b. if two parallel lines are cut by a transversal, then corresponding angles are congruent.
c. if two parallel lines are cut by a transversal, then alternate interior angles are congruent.
d. points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.
Ayuda pls con la tabla descripción y la ecuación pls
Answer:
Step-by-step explanation:
f(x) = -2|x+4|+ 1; Find f(-9)
How do you prove a triangle is SAS?
If the two sides on one triangle are congruent to the corresponding two sides of the other triangle and the included angles are congruent in both triangles, then the triangles are congruent by SAS (side-angle-side).
Congruent triangles: Two triangles are said to be congruent if they have the same angle measurements and have the same side lengths.Included angle: An included angle is the angle between two given sides.SAS theorem of congruence: The SAS (side-angle-side) theorem of congruence states that if two sides and their included angle in one triangle are exactly equal to the corresponding two sides and their included angle in another triangle, then the two triangles are congruent.
Use the SAS theorem of congruence to determine if the triangles in the figure below are congruent.
From fig(1) is congruent to fig(2).
For each triangle, find two labeled sides with labeled included angle (side-angle-side in order).
For ΔABC, we have:
|AC|=10,m∠A=46∘, |AB|=7
For ΔXYZ, we have:
|XZ|=10,m∠Z=46∘, |YZ|=7
Compare the results from step. If the two sides on one triangle are congruent to the corresponding two sides of the other triangle and the included angles are congruent in both triangles, then the triangles are congruent by SAS.
So, |AC|=|XZ|, m∠A=m∠Z, |AB|=|YZ| the triangles are congruent by SAS.
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ellen's greenhouse is in the shape of a hemisphere. the diameter of the floor is 18 feet. what is the approximate volume of the greenhouse? ellen's greenhouse is in the shape of a hemisphere. the diameter of the floor is 18 feet. what is the approximate volume of the greenhouse? 1,527 ft3 3,054 ft3 12,215 ft3 24,429 ft3
The approximate volume of the greenhouse will be 1,527 ft³.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Ellen's greenhouse is in the shape of a hemisphere.
And, The diameter of the floor is 18 feet.
Now,
Since, Ellen's greenhouse is in the shape of a hemisphere.
We know that;
⇒ The volume of Hemisphere = (2/3) πr³
Here, The diameter of the floor is 18 feet.
Hence, The radius of the floor = 18/2
= 9 feet
So, We get;
⇒ The volume of Hemisphere = (2/3) πr³
⇒ The volume of Hemisphere = (2/3) × 3.14 × 9³
= 1,527 ft³
Thus, The approximate volume of the greenhouse = 1,527 ft³
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y shopping a survey of u.s. adults found that of people said that they would get no work done on cyber monday since they would spend all day shopping online. find the confidence interval of the true proportion. round intermediate answers to at least five decimal places. round your final answers to at least three decimal places.
The required real proportion's 95% confidence interval is (0.301; 0.359).
What is a confidence interval?In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time.
Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.
So, the sample size is 1000.
Phat = 0.33
(1 - phat) = 1 - 0.33 = 0.67
Zcritical = 1.96 at 95%
The confidence range is as follows:
Phat ± margin of error
Margin of Error = Zcritical * sqrt[(phat(1 - phat)) /n]
Margin of Error = 1.96 * sqrt[(0.33 * 0.67) / 1000]
Margin of Error = 1.96 * 0.0148694
Margin of Error = 0.0291440
Lower boundary = (0.33 - 0.0291440) = 0.300856
Upper boundary = (0.33 + 0.0291440) = 0.359144
Therefore, the required real proportion's 95% confidence interval is (0.301; 0.359).
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Correct question:
Cyber Monday Shopping A survey of 1000 U.S. adults found that 33% of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the 95% confidence interval of the true proportion.
ONE SHARE OF BEEPCO PREFERRED STOCK PAYS AN
ANNUAL DIVIDEND OF $1. 20. TODAY BEEPCO CLOSED AT
$34. 50 WITH A NET CHANGE OF -$0. 50. WHAT WAS THE
STOCK'S YIELD AT YESTERDAY'S CLOSING PRICE?
O
The yield of stock at yesterday's closing price is 3.43%.
What is Annual Dividend?Annual dividend is the profit of the stock which is divided among the shareholders, both common and preferred shareholders annually.
Given,
Annual dividend = $1.20
Today's closing price = $34.50
Net change = -$0.50
Let x be yesterday's closing price.
Net change = Today's closing price - yesterday's closing price
⇒ -0.50 = 34.50 - x
⇒ x = 34.50 + 0.50
⇒ x = 35
Yield = [tex]\frac{Annual dividend}{Price}[/tex] × 100
= [tex]\frac{1.2}{35}[/tex] × 100
= 3.4286 % ≈ 3.43 %
Hence the stock's yield at yesterday's closing price of preferred stock is 3.43 %.
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Working together, Aaron and Rosa can mow the lawn around the local library in 3 hours. Working alone, Aaron can mow the lawn in 5 hours. Write and solve an equation to determine how long it would take Rosa to mow the lawn by herself.
Answer:
Below
Step-by-step explanation:
1/a + 1/r = 1/3 a = aaron rate r = rosa rate 3 = rate of both
1/5 + 1/r = 1/3
1/r = 2/15
r = 15/2 = 7.5 hr for rosa alone
What is the value of X if X 35 :: 48 60?
Answer:
Hence, x=28.
Step-by-step explanation:
What is the mode of 2 6 5 3 0 3 4 3 2 4 5 2 4?
The given values are 2,6,5,3,0,3,4,3,2,4,5,2,4
There are the following values as shown in the given data.
To find the mode first we have to assign each value that how many times it appears.
1. 2-3 the number 2 appears only Three times.
2. 6-1 the number 6 appears one time.
3. 5-2 the number 5 appears only two times.
4. 3-3 the number 3 appears only three times.
5. 0-1 the number 1 appears only one time.
6. 4-3 the number 4 appears only Three times.
So, the mode of the given data is 4,3,2 as it appears the most number of times.
If a given set of values with two modes is bimodal, a given set of numbers with three modes is trimodal, and any set of numbers with more than one mode is multimodal.
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Given m|n, find the value of x.
(x+27)°
(2x-7)⁰
m
The value of x is x=34.
What is angles?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
The angles are corresponding angles so they are equal if m is parallel to n
x+27 = 2x -7
Subtract x from each side
x+27 -x =2x-x-7
27 = x-7
Add 7 to each side
27+7 = x-7+7
34 =x
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What is the slope of the relation y =- 4 5x 4?
you will find that the slope, or m, is equal to 4/5 and that b is the coordinates 0 and -4
What is the slope of the relation y 4 5x 4?
The first step that needs to be done is to convert the equation into the y=mx+b format where m is the slope and b is the intersection of the y-intercept. Simply solve the equation for Y and you get Y=4/5X-4. From this, you will find that the slope, or m, is equal to 4/5 and that b is the coordinates 0 and -4
if the slopes are:
L1: slope 3
L2: slope -3
L3: slope -1/3
So now multiply the slopes of each pair of lines:
L1 and L2: 3 * (-3) = - 9 => No, they are not perpendicular
L2 and L3: (-3) * (-1/3) = 1 => No, they are not perpendicular
L1 and L3: (3) * (-1/3) = -1 => Yes, they are penpendicular.
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What is zeros of polynomial 2x² 7x 4?
x=1/2 and x=-4 are zeros of the polynomial 2x²+7x-4=0.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is 2x²+7x-4=0
To find the zero of 2x²+7x-4=0 we need to find the roots of polynomial.
2x²+7x-4=0
2x²+8x-x-4=0
Take 2x as common from first two terms
2x(x+4)-(x+4)=0
(2x-1)(x+4)=0
2x-1=0
2x=1
x=1/2 and x=-4 are zeros.
Hence, x=1/2 and x=-4 are zeros of the polynomial 2x²+7x-4=0.
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What is the formula for solving a triangle?
The law of cosines generalizes the Pythagorean formula to all triangles. It says that c^2, the square of one side of the triangle, is equal to a^2 + b^2, the sum of the squares of the the other two sides, minus 2ab cos C, twice their product times the cosine of the opposite angle. When the angle C is right, it becomes the Pythagorean formula.
c^2=a^2 + b^2 - 2abcosC
Pythagorean formula
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
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What are the 5 types of root?
There are three types of roots in mathematics which are real , repeated and non real roots.
When the value of the roots obtained are less than 0 then the roots obtained are known as not real or imaginary roots.
When the roots are greater than zero then they are known as real roots.
When the value of roots obtained is equal to 0 then we conclude that the roots are repeated.
We can get the roots of a function by factorizing the given expression or we can also find them using the determinant method. Or we can also use the graphical method to find the roots.
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What is the solution of the given equations 3x y 10 xy 2 *?
The solution of the given system of equations 3x + y = 10 , x - y = 2 is equal to x = 3 and y = 1.
As given in the question,
Given system of equations are :
3x + y = 10 ____(1)
x - y = 2 _____(2)
Add equation (1) and (2) to eliminate y and get the value of x we have,
3x + y = 10
x - y = 2
4x = 12
⇒x = 12 / 4
⇒ x = 3
Substitute value of x = 3 in equation (1) to get the value of y for the given equation,
3(3) + y = 10
⇒ 9 + y = 10
⇒ y = 10 - 9
⇒ y = 1
Therefore, the solution of the given system of equations is equal to x = 3 and y =1.
The above question is incomplete, the complete question is:
What is the solution of the system of equations 3x + y = 10 , x - y = 2?
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a gardener bought 5 geraniums and 3 lilies from a nursery that had 14 geraniums and 12 lilies. determine how many choices the gardener has
The number of choices the gardener has is 440440
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
The formula for combination is [tex]^nC_r[/tex] = n! / r!(n - r)1
We have,
Number of geranium = 14
Number of lilies = 12
Number of geranium bought = 5
Number of lilies bought = 3
The number of choices.
= [tex]^{14}C_5 \times ^{12}C_3[/tex]
= (14 x 13 x 12 x 11 x 10)/(5 x 4 x 3 x 2) x (12 x 11 x 10)/(3 x 2)
= 14 x 13 x 11 x 2 x 11 x 10
= 440440
Thus,
The number of choices is 440440.
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It costs $$3535 per hour to rent a boat at the lake. You also need to pay a $$2525 fee for safety equipment. You have $$200200. How long can you rent the boat?.
you can rent the boat 55.92 hour if It costs $$3535 per hour to rent a boat at the lake. You also need to pay a $$2525 fee for safety equipment.
What is an example of an equation?
In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
It costs $$3535 per hour to rent a boat at the lake.
You also need to pay a $$2525 fee for safety equipment.
You have $$200200.
safety fee only once
so 200200-2525 = 197675
if one hour fees is 3535
then 197675/3535
= 55.92
hence he rent boat at the lake 55.92 hour
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