Which is a solution to (x − 2)(x + 10) = 13?
Answer:
3
Step-by-step explanation:
3-2=1
3+10=13
1x13=13
If event A and event B cannot occur at the same time, then events A and B are said to be a) mutually exclusive b) statistically independent c) collectively exhaustive d) None of the above
Answer: If event A and event B cannot occur at the same time, then events A and B are said to be _________
Answer: a) mutually exclusive
Mutually exclusive events are those events that do not occur at the same time. For example, when a coin is tossed, the result will be either head or tail, but we cannot get both effects. Such events are also called disjoint events since they do not happen simultaneously.
If event A and event B cannot occur at the same time, then events A and B are said to be mutually exclusive
Step-by-step explanation:
principal=10000 Rate=7% time=20 years
Answer:
p= 10000
r= 7
t=20 yrs
I= ?
We know that,
I= P× T × R /100
=10000× 7×20/100
= 14000,,
What is the expanded form of -1/2(14x+50)
Answer:
= - 7x - 25.
Step-by-step explanation:
\( \frac{ - 1}{2} (14x \ + 50) \\ \\ = - 0.5(14x + 50) \\ \\ = - 7x + - 25 \\ = - 7x - 25\)
Researchers wanted to test whether staying up all night affected memory recall. They randomly assigned subjects to three groups; one group stayed up all night, one group stayed up for half of the night, and the third groups slept normally. The next morning they recorded their performance on a memory test and their averages of the continuous outcome were calculated. Which test would you use?
a-Simple linear regression
b-Chi-square test
c-One-way ANOVA
d-Two-way ANOVA
A one-way ANOVA is a statistical test used to compare the means of three or more groups and determine if there is a statistically significant difference between them.
In this scenario, the researchers wanted to investigate the effect of sleep deprivation on memory recall. They randomly assigned subjects to one of three groups: staying up all night, staying up for half of the night, and sleeping normally. The outcome of interest was their performance on a memory test, which was measured the next morning.
To analyze the data, the researchers would use a one-way ANOVA to determine whether there was a significant difference in memory recall between the three groups. The null hypothesis would be that there is no difference in memory recall between the groups, while the alternative hypothesis would be that there is a difference. If the p-value is less than the chosen significance level (usually 0.05), then we can reject the null hypothesis and conclude that there is a statistically significant difference in memory recall between the groups.
If the analysis shows a significant difference between the groups, the researchers could conduct post-hoc tests, such as Bonferroni, Tukey, or Scheffé, to determine which groups differed significantly from each other. These tests help to avoid the problem of multiple comparisons and provide more reliable results.
Overall, a one-way ANOVA would be an appropriate statistical test to determine whether staying up all night affects memory recall compared to staying up for half of the night or sleeping normally.
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What decimal equals 33 2/3 (rounded to nearest tenth)?
The decimal fοrm οf the mixed fractiοn 33 2/3, apprοximated tο the nearest tenth, is 33.67.
What are mixed fractiοns?A mixed fractiοn is οne that is represented by bοth its quοtient and remainder. Sο, a mixed fractiοn is a cοmbinatiοn οf a whοle number and a prοper fractiοn. A fractiοn represents a piece οf a larger tοtal. Tο learn hοw tο determine the precise values οf mixed numbers, it is crucial tο cοnvert a mixed number tο a decimal. A mixed number can be cοnverted tο decimal fοrm using οne οf twο techniques:
the mixed number is changed intο an imprοper fractiοn.
by first changing the given mixed number's fractiοnal pοrtiοn tο decimal, then adding the whοle number pοrtiοn tο it.
Nοw the given fractiοn is 33 2/3.
This is a mixed fractiοn because it has a whοle number οf 33 and a fractiοn οf 2/3.
This mixed fractiοn can be cοnverted tο a decimal number by finding the value οf the fractiοn part οf the number and adding it tο the whοle number.
Sοlving fractiοnal parts,
2/3 = 0.66666 = 0.67 (Rοunding tο the nearest tenth)
Nοw add tο the whοle number.
33 + 0.67 = 33.67
Therefοre the decimal fοrm οf the mixed fractiοn 33 2/3 is 33.67.
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the first term of sequence is 13
the term-to-term rule is " take away 5
work out 4th term
Write an expression for the phrase.
The product of n and negative 3
What is the comparison of aida march and funeral march
The "Aida" march is associated with celebration and triumph, while the funeral march is associated with mourning and sorrow
Aida" and "funeral" marches are two different types of musical compositions that are associated with different moods and contexts.
The Aida march is a type of triumphant, celebratory march that is often associated with military parades, processions, and other grand events. It was composed by the Italian composer Giuseppe Verdi as part of his opera Aida which premiered in 1871. The "Aida" march is characterized by its fast tempo, bold brass fanfares, and energetic rhythms.
On the other hand, a funeral march is a slow, mournful musical composition that is often played at funerals or other solemn occasions. Examples of funeral marches include the Funeral March from Frederic Chopin's Piano Sonata No. 2, and the Funeral March from Ludwig van Beethoven's Symphony No. 7. Funeral marches typically feature a slower tempo, minor keys, and somber melodies.
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PLEASE HELPP I HAVE A TIMER. which equation represents the graphed function?
a.y=4x-2
b.y=-4x-2
c.y=1/4x-2
d.-1/4x-2
Answer:
C. y = 1/4x -2
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
Write an expression for "the quotient of z
and 4.”
Answer:
z/4 or 4/z i think or z divided by 4
Step-by-step explanation:
What is the special angle pair relationship between 2 and 3?
The special angle pair relationship between ∠2 and ∠3 is same-side interior angles.
How to find angles?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.
Therefore, the angle pair relationship between angle 2 and 3 are same side interior angles.
The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary.
Supplementary angles are those angles that sum up to 180 degrees. In other words, If the measures of two angles sum up to 180°, they are called supplementary angles.
Therefore, same side interior angles are supplementary angles.
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Please help I will give brainliest to whomever's answer is correct
Answer:
i think its the last one
Step-by-step explanation:
it seems like the smart thing ti pick
Is age an example of interval data?
Yes, age is an example of interval data.
What is interval data?
A scale with equal distances between each point is used to measure interval data, which is a particular form of data. Interval data always takes the form of integers or numerical values with a standard and equal distance between the two sites.
The only operations that may be performed on interval data are addition and subtraction. An interval scale is used to measure interval data.
For the given question, we are asked if age is an example of interval data.
Age is incremented every year by 1. So there is a constant difference between the ages of two consecutive years, which is 1.
As interval data is data written on a scale with a constant and equal difference between two points, age is a good example of interval data.
Therefore, age is an example of interval data.
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* Anyone please give me some information about the following;
• About cone and conic section.(with diagram)
• Describe how are cones, ecllipse, parabola, hyperbola are formed?
(I need full information as much as possible)
Thank you!
Answer: See explanation below
Step-by-step explanation:
A conic is a curve obtained as the intersection of the surface of a cone with a plane. The 4 types of conic section are: 1. Hyperbola 2. The Parabola 3. The Ellipse and 4. Circle.
Hyperbola: When the plane cuts the cone at an angle closer to the axis than the side of the cone a hyperbola is formed.
Cones: A cone is a three-dimensional shape that goes in a diagonal directions from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments connecting from the base to the apex.
Parabola: A parabola is the curve formed by the intersection of a plane and a cone, but only when the plane is at the same slope as the side of the cone.
Ellipse: An ellipse is formed by a plane intersecting a cone at an angle to its base. All ellipses have two focal points and a center and a major and minor axis.
Circles: A circle is formed when the plane is parallel to the base of the cone.
*Note: Some of these answers are PLAGIARISED from the internet as I looked these up and copied & pasted some information, so please paraphrase if turning this in.*
Answer: see below
Step-by-step explanation:
Types of Conics are: Circles, Ellipses, & Hyperbolas.
Here is information about each one:
Circle: Two parabolas facing each other. Distance from the center to the vertices are exactly the same.
(x - h)² + (y - k)² = r²
(h, k) is the center of the circler is the radius of the circleThe 4 vertices are: (h, k+r), (h, k-r), (h + r, k), & (h - r, k)Ellipse: Two parabolas facing each other. Distance from the center to the vertices are not the same.
(x - h)²/a² + (y - k)²/b² = 1
(h, k) is the center of the ellipsea is the horizontal distance from the center to the vertices/co-verticesb is the vertical distance from the center to the co-vertices/verticesIf a > b, then vertices are: (h+a, k), & (h-a, k) and co-vertices are (h, k+b), (h, k-b)If b > a, then the vertices and co-vertices are reversed Use |a² - b²| = c² to find the distance from the center to the foci. If a > b, then Foci = (h+c, k) & (h-c, k). If b > a, then ± from the k-valueExample: (x - 1)²/9 + (y - 2)²/25 = 1
Center (h, k) = (1, 2) a = √9 = 3 b = √25 = 5
Vertices (b > a): (1, 2+5) & (1, 2-5) ==> (1, 7) & (1, -3)
Co-vertices: (1+3, 2) & (1-3, 2) ==> (4, 2) & (-2, 2)
Foci (b > a): c = √(25-9) = 4 --> (1, 2+4) & (1, 2-4) ==> (1, 6) & (1, -2)
Hyperbola: Two parabolas facing AWAY from each other. Distance from the center to the vertices may or may not be the same.
(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1
↓ ↓
opens left and right opens up and down
(h, k) is the center of the hyperbolaIf x²-y², then vertices are: (h+a, k), & (h-a, k). There are NO Co-vertices.If y²-x², then vertices are (h, k+b), (h, k-b). There are NO Co-vertices.Use a² + b² = c² to find the distance from the center to the foci. If x²-y², then Foci = (h+c, k) & (h-c, k). If y²-x², then ±c from the k-valueThe slope of the asymptotes are ± b/a and pass through the center (h, k)Example: (x - 1)²/9 - (y - 2)²/16 = 1
Center (h, k) = (1, 2) a = √9 = 3 b = √16 = 4
Vertices (x²-y²): (1+3, 2) & (1-3, 2) ==> (4, 2) & (-2, 2)
Foci (x²-y²): c = √(9 + 16) = 5 --> (1+5, 2) & (1-5, 2) ==> (6, 2) & (-4, 2)
Asymptotes: m = ± 4/3 through (h, k) = (1, 2) ==> y = ± 4/3(x - 1) + 2
A jar contains 18 marbles that are all the same size. It contains 7 purple, 3 green, and 8 orange marble. What is the probability of picking a green marble? Type your probability as a fraction in the simplest form.
Answer:
1/6
Step-by-step explanation:
3 out of 18 marbles are green. 3/18 can be reduced to 1/6 because both 3 and 18 are divisible by 3.
3/3=1
18/3=6
1/6
The probability of picking a green marble is 1/6.
To find the probability of picking a green marble, we need to consider the total number of marbles and the number of green marbles in the jar. The jar contains a total of 18 marbles, and out of these, there are 3 green marbles.
The probability of an event happening is calculated by dividing the number of favorable outcomes (in this case, the number of green marbles) by the total number of possible outcomes (the total number of marbles in the jar).
So, the probability of picking a green marble can be written as:
P(green marble) = Number of green marbles / Total number of marbles
Substituting the values, we get: P(green marble) = 3 / 18
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3. Dividing both 3 and 18 by 3, we get: P(green marble) = 1 / 6
Therefore, the probability of picking a green marble from the jar is 1/6. This means that if you randomly pick a marble from the jar, there is a 1 in 6 chance that it will be green.
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The sluggers go out for pizza after a game. Seven large pizzas plus two medium pizzas together have 100 slices. Five large pizzas plus six medium pizzas have 108 slices. How many slices are in each size?
Answer:
Large pizzas= 12 Medium= 8
Step-by-step explanation:
if you 12 by 5 and 8 by 6 and add them together you get 108
Sandra wants to buy some t-shirts online that cost $14 each, and the shipping cost is $23. She has $65 to spend.
How many t-shirts did Sandra purchase?
A) 2
B) 3
C) 4
D) 5
Answer:
B: 3
Step-by-step explanation:
The expression would be 14m + 23 = 65.
14m + 23 - 23 = 65 - 23 =
14m = 42
14m ÷ 14 = 42 ÷ 14 =
m = 3
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A friend of ours takes the bus five days per week to her job. The five waiting times until she can board the bus are a random sample from a uniform distribution on the interval from 0 to 10 min. Determine the pdf and then the expected value of the largest of the five waiting times.
The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.
The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.
In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.
The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5
where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4
The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33
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can someone help please??
joe wants to find all the four-letter words that begin and end with the same letter. how many combinations of letters satisfy this property?
Answer: There are $26$ choices for the first letter, $26$ for the second, and $26$ for the third. The last letter is determined by the first letter. Thus, there are $26^3 = \boxed{17576}$ such combinations.
Step-by-step explanation:
This means that picking a four-letter word that follows this rule is just like picking any 3 letter word (pick a 3 letter word and then add a "copy" of the first letter as a fourth letter)
so there's a total of 263 =17,576 combinations- 26 options for the first letter, 26 options for the second letter, and 26 options for the third letter.
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What is the argument of z = StartFraction 1 Over 16 EndFraction minus StartFraction StartRoot 3 EndRoot Over 16 EndFraction i?
To find the argument of the complex number z = 1/16 - (sqrt(3)/16)i, we need to find the angle that the complex number forms with the positive real axis in the complex plane.
We can start by finding the magnitude of z, which is the distance between the origin and the point representing z in the complex plane:
|z| = sqrt( (1/16)^2 + (sqrt(3)/16)^2 )
= sqrt(1/256 + 3/256)
= sqrt(4/256)
= 1/4
Next, we can find the argument of z using the formula:
arg(z) = tan^(-1)(Im(z)/Re(z))
where Im(z) is the imaginary part of z, and Re(z) is the real part of z.
In this case, we have:
Re(z) = 1/16
Im(z) = -(sqrt(3)/16)
Therefore, we get:
arg(z) = tan^(-1)(Im(z)/Re(z))
= tan^(-1)(-(sqrt(3)/16)/(1/16))
= tan^(-1)(-sqrt(3))
= -60° (in degrees)
So, the argument of z is -60 degrees (or -π/3 radians).
Answer:
A
Step-by-step explanation:
Carol sliced a lemon into circular pieces to put in a bowl of punch. The piece above has a radius of 2.5cm.
I’ll get you a lot of points if you answer this!!
Answer:π(2.5)
Step-by-step explanation:
π(2.5)
Please help me with my geometry work
In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. ,m∠2 = 40°.
What is a straight line?An unending, one-dimensional figure with no breadth is a straight line. It consists of an infinite number of points connected on either side of a point. A straight line has a 180° measurement.
Definition of angle bisector.In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. For instance, a 60-degree angle will be split into two angles of 30 degrees each by an angle bisector. Alternatively said, it divides two smaller congruent angles. Given below is an image of an angle bisector of ∠AOB.
The graphic XYQ is the straight line, m∠3 = 40°, and m∠4 = 25°. YZ is the angle bisector of ∠s.
m∠2 = 40° the reason is YZ is the angle bisector of ∠s
∠s = m∠2 + m∠3
m∠2 = m∠3
therefore m∠2 = 40°
m∠1 + m∠2 + m∠3 + m∠4 = 180° the reason is XYQ is the straight line.
substitution of all values
m∠1 + 40° + 25° + 40° = 180°
m∠1 + 105° = 180°
m∠1 = 75° (straight line, substitution of all values )
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a researcher could be examining what percentage of golfers buy only titleist balls, or might be looking at what percentage of high school students buy from taco bell between meals. in either case, the mean or percentage is derived from a sample, so it is:
The mean and percentage is deduced from a sample in either case, so it is: the statistic for the sample.
What is defined as the sample statistic?A sample statistic (or simply statistic) is any number calculated from the sample data. The sample median, average, sample standard deviation, as well as percentiles are some examples. Because it is based on data acquired through random sampling, a type of random experiment, a statistic is a random variable. As a result, a statistic is both known and random.For the given question,
A researcher could be looking at which percentage of golfers only use Titleist balls, or what proportion of high school students eat at Taco Bell between meals.
As a result, either in case, the mean as well as percentage is deduced from a sample, as follows: statistics from a sample.
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Hey need more help with this test dont answer if you dont know
A distinguishing feature of ecological economics is the concept of ________. 1.greenwashing to increase public acceptance of products 2.the only healthy economy is one that is growing 3.steady-state economies that neither grow nor shrink 4.cost-benefit analysis 5.environmental damage and also environmental benefits are external
The distinguishing feature of ecological economics is the concept of steady-state economies that neither grow nor shrink.
This concept recognizes the finite nature of natural resources and the need to balance economic activity with ecological limits.
Unlike traditional neoclassical economics, which assumes that growth is always desirable, ecological economics emphasizes the need for sustainable development that maintains ecological integrity while meeting human needs.
Additionally, ecological economics recognizes that environmental damage and benefits are external to the market system and must be internalized through policies like carbon taxes and cap-and-trade systems.
While cost-benefit analysis is an important tool in ecological economics, it is used within the framework of steady-state economics and sustainable development rather than as a justification for unlimited economic growth.
Finally, ecological economics rejects greenwashing as a means of increasing public acceptance of products, recognizing that true sustainability requires fundamental changes in economic and social systems.
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What is the slope of the line that goes through the points (1,4) and (13,10)?
Answer:
The slope is 1/2 :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
(10 - 4)/(13 - 1) = 6/12 = 1/2 is the slope of the line
\(\sqrt{25} is an irrational
Answer:
Is Square Root of 25 Rational or Irrational?
Step-by-step explanation:
A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.
The answer is:
⇨ √25 is a rational numberWork/explanation:
What are rational numbers?
Rational numbers are integers and fractions.
Irrational numbers are numbers that cannot be expressed as fractions, such as π.
Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.
Hence, √25 is rational.What is the value of x?
Answer:
46°
Step-by-step explanation:
from large triangle:
let the third unknown angle be 'a'
then,
a+x+7+85=180
a=88-x
now,from small triangle,
let the third unknown angle be 'b'
then,
b+x+2x=180
b=180-3x
b=a (vertically opposite angles)
then,
180-3x=88-x
2x=92
x=46