To find the probability of two independent events happening simultaneously, you just multiply the probabilities of each event happening individually.
The probability of getting a blue marble, is the ratio between the amount of blue marbles and the total amount of marbles, which is
\(\frac{4}{10}\)After taking one blue marble out of the bag, and NOT putting it back, changes the total amount of marbles to 9, and the total amount of blue marbles to 3.
The probability of getting a blue marble after taking one blue marble out is
\(\frac{3}{9}=\frac{1}{3}\)Now, the probability of both events happening simultaneously is their product.
\(\frac{4}{10}\times\frac{1}{3}=\frac{4}{30}=\frac{2}{15}\)This is our final answer. The probability of both be blue marbles is 2/15.
find two possible factors for the estimated product 5,600
Answer:
If you want to find the other factor you would divide 5,600. One factor is 80 so the other factor should be 70 but if you put a dot you would get 0.07.
Step-by-step explanation:
Milo types 35 words per minute. How many words can he type in 7 minutes
a. 245 words
b. 240 words
c. 250 words
d.275 words
The answer is A. 245 words can he type in 7 minutes.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Milo types 35 words per minute.
words can he type in 7 minutes is 35*7
=245
because I have to multiple the amount of words he can type in one minute by 7.
hence, The answer is A. 245 words can he type in 7 minutes.
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Use what you know about intersecting lines to label the missing and
picture below.
35°
X
type of angle pair:
zoom in
X =
OManeuvering the Middle LLC, 2016, 2022
Answer:
x = 145
Step-by-step explanation:
x and 35° lie on a straight line and are supplementary angles , sum to 180°
x + 35 = 180 ( subtract 35 from both sides )
x = 145
Find the value of X(2x + 4) (2x-9)
2x +4)° 2x-9)°= 4x 2 +8x−9=3
Pull out like factors :
2x + 4 = 2 • (x + 2) (4 • (x + 2) • x) - 9
4x • (x + 2) - 9
Factoring 4x2+8x-9
The first term is, 4x2 its coefficient is 4 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 4 • -9 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is 8 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5
-6 + 6 = 0
-4 + 9 = 5
-3 + 12 = 9
-2 + 18 = 16
-1 + 36 = 35
x=3
Answer:
0, -2, 9/2
Step-by-step explanation:
(2x^2 + 4x) (2x-9)
Then Foil
4x^3 + 8x^2 - 18x^2 -36x
Pull out a x
x(4x^2-10x-36)
x=0
(2x-9)(2x+4)=0
X= 9/2 x= -2
1. The first quartile (1) of the ages of the 256 employees of CCNHS – Main Campus is 39 years old. What does it imply?
If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.
The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.
In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.
This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.
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The length of a rectangle is 3m less than double the witch, and the area of the rectangle is 27m^2. Find the dimensions of the rectangle.
Answer:
the area of the rectangle is A=L•W
The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m
A=L-W
27m²=(2W-3m)-W
27m2=2w2-3m-W
2w2-3wm-27m2=0
....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)
W=
2-2
w=(3m± √9m²+216m²)
w=(3m+ √225m²)
W=(3m± 15m...you need only positive root because width cannot be negative
W= 3m+15m
4
W=. 4
18m
W=4.5m ......now find the L
L=2.4.5m-3m
L=9m-3m
L=6m
Answer:
W = 4.5cm
L = 6cm
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
Answer:
5x - 1
Step-by-step explanation:
f(x) = 3x - 2
g(x) = 2x + 1
(3x - 2) + (2x + 1)
3x + 2x = 5x
-2 + 1 = -1
Answer: 5x - 1
Convert 3.4 mi to ______ ft (nearest thousand)
Answer:
Step-by-step explanation:
18,000
Thomas lives more than 0.55 km and less than 0.75 km from his school.
Thomas lives from his school?
A. 0.06 km
B 0.50 km
c. 0.60 km
D. 1.30 km
0.60 km which I got from https://quizizz.com
Is the following picture congruent or not congruent? If it is congruent, then which proves that: SSS, SAS, ASA, or AAS
Answer:
Congruent means equal or same neither provides
Step-by-step explanation:
PLSS HELP!!
Explain the process to simplify the rational expression including any domain restriction.
Explain why there are domain restrictions.
Simplify: 2x²+13x+20
———————
2x2+17x+30
the denominator will be zero when. \(x=-2\)or \(x=-7.\) Therefore, the domain of the expression is all real numbers except \(x=-2\) and \(x=-7\).
What is factor?In mathematics, factoring refers to the process of finding the factors of a given number or expression. Factors are numbers or expressions that can be multiplied together to obtain the original number or expression. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because these are the numbers that can be multiplied in pairs to obtain 12 (e.g. 2 x 6 = 12).
In algebra, factoring involves breaking down an algebraic expression into simpler expressions that can be multiplied together. This is done by finding common factors or using techniques such as difference of squares, perfect squares, or grouping. Factoring is an important tool in algebra, as it can help simplify complex expressions and solve equations.
To simplify a rational expression, follow these steps:
Step 1: Factor both the numerator and denominator if possible. For example, in the expression you provided, the numerator can be factored as\((2x+5)(x+4)\)and the denominator can be factored as \((2x+15)(x+2)\).
Step 2: Cancel out any common factors in the numerator and denominator. In this case, both the numerator and denominator have a common factor of (2x+5), which can be cancelled out.
Step 3: Simplify the remaining expression. After cancelling out the common factor, the simplified expression becomes:
\((2x+5)(x+4) / (2x+15)(x+2) = (x+4) / (x+2)(2x+15)\)
Domain restrictions occur when a value of x makes the denominator equal to zero, because division by zero is undefined. In this case, the denominator will be zero when x=-2 or x=-7. Therefore, the domain of the expression is all real numbers except x=-2 and x=-7.
It is important to identify any domain restrictions before simplifying a rational expression to ensure that the final expression is valid for all values of x in its domain.
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How to calculate a 15% tip?
Which points are on the graph of k(x) = (1/4)x?
polynomials
-
k (x) = (¼)^x
if x = 0 then k(0) = 1
if x = 1 then k(1) = ¼
if x = 3 then k(3) = 1/64
So, the answer is A
what is the variable "d" equal to in the equation 2d + 13
Answer:
d=-6.5
Step-by-step explanation:
2d+13=0
2d=-13
d= -13/2
d=-6.5
8. Say that on average teenagers eat 10 slices of pizza each week, with a 95% confidence interval of (8-12). We take a sample of teenagers and find that this group eats an average of 6 slices each week. What can we say about the teenagers in the sample in relation to the confidence interval?
Teenagers consume 10 pieces of pizza on average per week, with a 95% confidence interval (8-12).
Additionally, we examine a sample of youngsters and discover that on average, they consume 9 slices per week.. I.e. sample mean value lies within the 95% confidence interval (8, 12) it means that we can use this to estimate population mean which can lie in given 95% of interval and it can said to best estimate for population mean.
In order to determine the average number of slices consumed each week by teenagers, a sample of 9 teenagers is provided.
Hence, the stated value—that they consume nine slices—lies within the given range. So our claim is correct with probability of 95%.
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HELP PLEASE SIMPLIFY !!!
Answer:
\(=x^{\frac{5}{6}}+2x^{\frac{7}{3}}\)
Step-by-step explanation:
\(x^{\frac{1}{3}}\left(x^{\frac{1}{2}}+2x^2\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=x^{\frac{1}{3}},\:b=x^{\frac{1}{2}},\:c=2x^2\\=x^{\frac{1}{3}}x^{\frac{1}{2}}+x^{\frac{1}{3}}\cdot \:2x^2\\=x^{\frac{1}{3}}x^{\frac{1}{2}}+2x^2x^{\frac{1}{3}}\\\mathrm{Simplify}\:x^{\frac{1}{3}}x^{\frac{1}{2}}+2x^2x^{\frac{1}{3}}:\quad x^{\frac{5}{6}}+2x^{\frac{7}{3}}\\x^{\frac{1}{3}}x^{\frac{1}{2}}+2x^2x^{\frac{1}{3}}\\x^{\frac{1}{3}}x^{\frac{1}{2}}=x^{\frac{5}{6}}\)
\(x^{\frac{1}{3}}x^{\frac{1}{2}}\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\x^{\frac{1}{3}}x^{\frac{1}{2}}=\:x^{\frac{1}{3}+\frac{1}{2}}\\=x^{\frac{1}{3}+\frac{1}{2}}\\\mathrm{Join}\:\frac{1}{3}+\frac{1}{2}:\quad \frac{5}{6}\\\frac{1}{3}+\frac{1}{2}\\\mathrm{Least\:Common\:Multiplier\:of\:}3,\:2:\quad 6\\Adjust\:Fractions\:based\:on\:the\:LCM\\=\frac{2}{6}+\frac{3}{6}\)
\(\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2+3}{6}\\\mathrm{Add\:the\:numbers:}\:2+3=5\\=\frac{5}{6}\\=x^{\frac{5}{6}}\\2x^2x^{\frac{1}{3}}=2x^{\frac{7}{3}}\\=x^{\frac{5}{6}}+2x^{\frac{7}{3}}\)
Write 29/9 as a mixed number?
Answer:
3 2/9
Step-by-step explanation:
9 x 3= 27
29 - 27= 2
2 --> 2/9
3 + 2/9= 3 2/9
Answer:
3 1/9
Step-by-step explanation:
HELP 6TH GRADE MATH
Enter the phrase as an algebraic expression. b divided by 9
Answer:
\(\frac{b}{9}\) An algebraic expression is just an equation without an answer
HELP ME PLEASE 40 POINTS AND BRIANLIESTS
Answer:
2 to 3 seconds
Step-by-step explanation:
Constant is when the number doesn't change, and in this case, that is 2 to 3 seconds.
Answer: i think it the 3rd one
Step-by-step explanation:
Add.
9/-8 + -2/5
Write your answer as a fraction in simplest form
The result of carrying out the addition operation on the given fractions, 9/-8 + -2/5, is -61/40.
Addition of fractionsFrom the question, we are to determine the sum of the given fractions
From the given information,
The fraction are 9/-8 and -2/5
We are to carry out the addition operation on the fractions
The addition operation can be carried out on the fractions as follows:
9/-8 + -2/5
First, find the LCM of 8 and 5
The LCM of 8 and 5 is 40
Then,
We can write that
(-45 + -16)/40
= (-45 - 16)/40
= (-61)/40
= -61/40
Hence, the result of adding the fractions is -61/40
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Assume that a coin is tossed twice. The coin may not be fair. The sample space consists of the outcomes (HH, HT, TH, TT). Outcome HH HT TH TT Probability 0.40 0.92 0.29 0.55 Is the given a probability model?
Assuming that an unfair coin is tossed with outcomes of HH, HT, TH, and TT, and the probability is 0.40, 0.92, 0.29, and 0.55, then the given probabilities do not form a valid probability model for the sample space of two coin tosses.
The given probabilities do not form a valid probability model for the sample space of two coin tosses since a valid probability model must satisfy the following conditions:
Non-negativity: The probability of each outcome must be non-negative, i.e., each probability must be greater than or equal to 0.Normalization: The sum of the probabilities of all outcomes in the sample space must equal 1.To calculate the sum of the probabilities, we simply add up all of the given probabilities:
0.40 + 0.92 + 0.29 + 0.55 = 2.16
In this case, the sum of the probabilities is 2.16, which is greater than 1. Hence, the given probabilities do not form a valid probability model for the sample space of two coin tosses.
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Camille is comparing different apartment complexes. Here is the data she collected. Complex name Bedrooms Bathrooms Rent Rent includes heat Amenities Grand Vistas 2 br 2 bath $990 no fitness center, pool ; Maple Ridge 2br 1.5 bath , $685 yes fitness center, pool; Old Mill 2 1.5, 790 no pool; Willow Brook 2br 2bath $885 no jacuzzi. The individuals in this data set are:
The individuals in this data set are the different apartment complexes: Grand Vistas, Maple Ridge, Old Mill, and Willow Brook.
The individuals in this data set are the different apartment complexes that Camille is comparing. The data provides information on the complex name, number of bedrooms and bathrooms, rent amount, whether rent includes heat, and the amenities offered.
Grand Vistas:
Bedrooms: 2
Bathrooms: 2
Rent: $990
Rent includes heat: No
Amenities: Fitness center, pool
Maple Ridge:
Bedrooms: 2
Bathrooms: 1.5
Rent: $685
Rent includes heat: Yes
Amenities: Fitness center, pool
Old Mill:
Bedrooms: 2
Bathrooms: 1.5
Rent: $790
Rent includes heat: No
Amenities: Pool
Willow Brook:
Bedrooms: 2
Bathrooms: 2
Rent: $885
Rent includes heat: No
Amenities: Jacuzzi
Each apartment complex is represented as an individual in the data set. Camille has collected specific details for each complex, including the number of bedrooms and bathrooms, the rent amount, whether heat is included in the rent, and the amenities provided.
This data set allows Camille to compare different apartment complexes based on these attributes. She can evaluate factors such as rent prices, included amenities, and the presence of heat in the rent. This information will assist Camille in making an informed decision about which apartment complex may be the most suitable for her needs and preferences.
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Which choice correctly expresses the number below in scientific notation?
5,790,000
A) 5.79 • 10^7
B) 579 • 10^4
C) 57.9 • 10^5
D) 5.79 • 10^6
E) 579 • 10^6
F) 5.79 • 10^5
Answer:
D
Step-by-step explanation:
In scientific notation, the number that is being multiplied by the power of ten must be greater than or equal to 1 and less than 10. This eliminates options B, C, and E. The rest of the options are all 5.79 times something. To find that something, we can do 5,790,000 / 5.79 = 1000000 = 10⁶. This means that the answer is D.
Let’s say you are viewing a confidence interval plot and you notice a horizontal line placed at each end of the line (ex. similar to this image T). What does this horizontal line signify?
Select an answer:
These horizontal lines allow Minitab to properly place the dot.
These horizontal lines are used to decorate the plots.
These horizontal lines indicate the limits at the end of the intervals.
These horizontal lines are placed to help you visually locate the dot.
The thing that the horizontal line signifies in the confidence interval plot is D. These horizontal lines are placed to help you visually locate the dot.
What exactly is a confidence interval?A confidence interval is a range of values that contains the value of an unknown population parameter. Given the characteristics of your sample data, these intervals represent a plausible domain for the parameter.
Confidence intervals are calculated using a specified confidence level and are derived from sample statistics. Confidence intervals are used by statisticians to quantify uncertainty in a sample variable. These horizontal lines are placed to assist you in visualizing the dot.
In conclusion, the correct option is D.
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i need help!!!! does anyone know this..!!???
The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.
How to determine the period of the frequency factor b given above?The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.
The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.
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Enter the number that belong in the green box please help
Step-by-step explanation:
Since we have three sides and trying to find an angle, use Law of Cosines
\(c = \sqrt{ {a}^{2} + {b}^{2} - 2ab \times \cos(d) } \)
where c is
Solving for the angle d.
\( \cos {}^{ -1 } (( \frac{ {c}^{2} - {b}^{2} - {a}^{2} }{ - 2ab} ) = d\)
where d is in degrees
The angle d is the opposite of the side c.
It does not matter what a and b is(they can be either 4 or 5)
let
c=7
a=4
b=5
\( \cos {}^{ - 1} ( \frac{ - 1}{5} ) = d\)
This angle must be within 0 and 180
We get
\(d = 101.54\)
The diagram shows a round fountain surrounded by a circular path. The radius of the fountain is v7 yards, and the distance from the center of
the fountain to the outer edge of the path is 56 yards.
The estimated area of the fountain is
square yards, and the estimated area of the path is square yards
Can someone please help me!!!
Answer:
The first drop down box, I'm pretty sure its the second one
Step-by-step explanation:
Answer:
The guy up there is right so the answer, first one is 147.58 and the second one is 28.26
Step-by-step explanation:
time series data of a typical the gap store should show which of the following data patterns? multiple choice a. trend b. cyclical c. seasonal d. all of the options are correct. e. random
The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.
What is time series data:
Time series data refers to a collection of data points that are measured over time at regular intervals. The time series data could refer to various metrics such as sales, revenue, foot traffic, website traffic, inventory levels, and other relevant business metrics that change over time.
By analyzing time series data, businesses can gain insights into trends, patterns, and other factors that can affect their operations.
Time series can be used for forecasting. By analyzing past trends and patterns, businesses can make predictions about future performance and take proactive measures to achieve their goals.
Since the time series will follow the trend, have multiple choices, and will be cyclical and it will analyze the patterns over time periods seasonally.
Therefore,
The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.
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Two samples of fish from a pond were analyzed. The second sample was taken six months after the first sample.
A 3-column table with 4 rows. Column 1 is labeled Year 1 with entries trout, catfish, bass, all fish. Column 2 is labeled Sample 1 with entries 3, 9, 8, 20. Column 3 is labeled Sample 2 with entries 5, 9, 6, 20.
Which are valid inferences? Check all that apply.
The second sample shows the same amount of each type of fish in the pond.
About twice as many trout were in the pond at the time the second sample was taken.
About the same number of bass were found in the two samples.
Fewer bass were in the pond at the time the second sample was taken.
About the same number of catfish were found in both samples.
Based οn the data given in the tabIe οn the trοut, catfish, bass and οthers, we can infer that Trοut increased its predicted average pοpuIatiοn.
What are trοut ?Trοut are species οf freshwater fish beIοnging tο the genera Oncοrhynchus, SaImο and SaIveIinus, aII οf which are οf the subfamiIy SaImοninae οf the famiIy SaImοnidae. The wοrd trοut is aIsο used as part οf the name οf sοme nοn-saImοnid fish such as Cynοsciοn nebuIοsus, the spοtted seatrοut οr speckIed trοut.
Trοut are cIοseIy reIated tο saImοn and char (οr charr): species termed saImοn and char οccur in the same genera as dο fish caIIed trοut (Oncοrhynchus – Pacific saImοn and trοut, SaImο – AtIantic saImοn and variοus trοut, SaIveIinus – char and trοut).
What happened tο the trοut pοpuIatiοn?In the first year, Trοut increased by 2 frοm 3 tο 5 which meant that its predicted average pοpuIatiοn fοr Year 2 wοuId be 7.
In year 2 hοwever, the trοut went tο 8 which shοwed that it had increased its predicted average pοpuIatiοn.
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A recent report indicated that 90 percent of adults in a certain region actively try to include vegetables in their diet. A simulation was conducted that consisted of 50 trials with a population parameter of 0.9. Each trial consisted of a sample size of 10. The number of successes out of 10 was recorded, where success represented an adult trying to include vegetables in the diet.
Five possible simulation results are shown. Which simulation is the best match to the one described?
tallest on nine all focused on the right side
On dot plot we take no. of successes out of 10. Hence it having 0 to 10 numbering.
What is dot plots in statistics?
For relatively small data sets with values falling into a handful of discrete bins, a dot plot, also known as a dot chart, is a sort of straightforward histogram-like display used in statistics.
To create a dot plot, count the data points that fall into each bin and then draw a stack of dots that is that many dots high for each bin.
Because we conduct 50 trials, dot plot should have 50 points, one point per each trial.
On X axis, we take no. of successes out of 10. Hence it having 0 to 10 numbering.
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