According to the question, to calculate the probability of an event which states that flip a coin and not landing on head. That means P = {H,T}
Therefore, the probability can be written as:
Probability of getting tail = [tex]\frac{no of favorable events}{total number of outcomes} = \frac{1}{2}[/tex]
Therefore, the probability of a coin in which head is not landing is [tex]\frac{1}{2}[/tex].
What is Probability?
The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.
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The opposite of the sum of -7 and y
Please help!!
Answer:
7 - y
Step-by-step explanation:
The sum of -7 and y: -7 + y
The opposite of the sum: -(-7 + y) = 7 - y
A triangle abc has angle measures of 45,45 and 90 and two congruent (equal sides). How would this triangle be classified?
Answer:
A right triangle
Step-by-step explanation:
The angle of 90 degrees is a right angle
the tuition for a private college is currently 18000 for each semester. The college will raise tuition by 500 dollars per semester per year How much is tuition per year. By how much will tuition increase each year.
Based on the calculations below, the amount of tuition per year is $36,000 while the amount of the increase in tuition each year is $1,000.
How are tuition and an increase in tuition calculated?Note: There are two questions in this question as follows:
1. How much is tuition per year?
2. By how much will tuition increase each year?
We can calculate the tuition per year and the increase in the tuition each year as below:
Number of semesters in a year = 2
Tuition in each semester = $18,000
Increase in the tuition per semester = $500
Using the above information, we can proceed as follows:
Tuition per year = Tuition in each semester * Number of semesters in a year = $18,000 = $36,000
Increase in the tuition each year = Increase in the tuition per semester * Number of semesters in a year = $500 * 2 = $1,000
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Percent Obese by State
Computer output giving descriptive statistics for the percent of the population that is obese for each of the 50 US states, from the
USStates dataset, is given in the table shown below. Since all 50 US states are included, this is a population, not a sample.
Variable N Mean StDev Minimum
Q1 Median Q3
Maximum
Obese 50 31.43 3.82
28.6 30.9 34.4
Need help with b) and c)
Using the normal distribution, it is found that:
b)
The maximum 39.5% obese has a z-score of 2.11, hence it is 2.11 standard deviations above the mean.
The minimum 23% obese has a z-score of -2.21, hence it is 2.21 standard deviations below the mean.
c) The interval is 23.79% to 39.07%.
Normal Probability Distribution
The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.For this problem, the parameters are given as follows:
[tex]\mu = 31.43, \sigma = 3.82[/tex]
The maximum weight is of 39.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (39.5 - 31.43)/3.82
Z = 2.11.
The maximum 39.5% obese has a z-score of 2.11, hence it is 2.11 standard deviations above the mean.
The maximum weight is of 23, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (23 - 31.43)/3.82
Z = -2.21
The minimum 23% obese has a z-score of -2.21, hence it is 2.21 standard deviations below the mean.
For item c, we consider the Empirical Rule, which states that 95% of the measures are within 2 standard deviations of the mean.
Then:
31.43 - 2 x 3.82 = 23.79.31.43 + 2 x 3.82 = 39.07.The interval is 23.79% to 39.07%.
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Determine whether the events are independent or dependent. Then find the probability.
You roll a die and get a 2. You roll another die and get a 3.
1/3 is the probability when You roll a die and get a 2. You roll another die and get a 3.
In statistics, what does a probability mean?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.when a dice is thrown we get the following out comes
S = { 1,2,3,4,5,6}
n(S) = 6
probability of getting 3 is 1/6 [as there is only one 3]
probability of getting 4 is 1/6 [ there is only one 4]
Using addition theorem of of probability ,
probability of getting 3 or 4 is 1/6 + 1/6 = 2/6 = 1/3
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Solve the equation. x³-6 x²+6 x=0 .
answer:
x=0 or x=4.732050807568877 or x=1.2679491924311228
Rewrite the number 8,000,000,000,000,000,000,000,000,000,000,000,000,000,000 using scientific notation.
Answer:
8,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Step-by-step explanation:
8(10^42)
Parenthesis is the multipication sign btw
Write the equation of the line in slope-intercept form.
12. A line that passes through (-1, -5) and (4, -2)
The equation of line in slope intercept form which passes through (-1, -5) and (4, -2) will be y = [tex]\frac{3}{5}[/tex] x .
What is the slope intercept form of a line ?
The equation of a straight line in the form y = mx + c is known as the slope intercept form, where m denotes the slope and c denotes the y-intercept of a line.
It is given that line is passing through (x1 , y1) and (x2 , y2) that is , (-1, -5) and (4, -2).
Let's find out the value of slope first.
We know that , slope (m) = (y2-y1) / (x2-x1)
⇒ m = [(-2-(-5)] / [4 - (-1)]
⇒ m = 3 / 5
Now we will use the slope to find the y-intercept.
∵ y = mx + c
where , c is the y-intercept.
(-2 -(-5)) = (3/5) × (4-(-1)) + c
3 = [ (3/5) × 5 ] + c
3 = 3 + c
c = 0
Now ; we will write the equation in slope intercept form that is ;
y = mx + c
or
y = [tex]\frac{3}{5}[/tex] × x + 0
or
y = [tex]\frac{3}{5}[/tex] x
Therefore , the equation of line in slope intercept form which passes through (-1, -5) and (4, -2) will be y = [tex]\frac{3}{5}[/tex] x .
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Simplify 2x multiplied by x^(-1/2)
(the above is x to the power of minus a half)
Answer:
[tex]2\sqrt{x}[/tex]
Step-by-step explanation:
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]2x \cdot x^{-\frac{1}{2}} = 2x^{1-\frac{1}{2}} = 2x^{\frac{1}{2}} = 2\sqrt{x}[/tex]
Another way of doing this is to see that
[tex]x^{-\frac{1}{2}} = \frac{1}{\sqrt{x} }[/tex]
So [tex]2x \cdot x^{-\frac{1}{2}} = \frac{2x}{\sqrt{x} } =2\sqrt{x}[/tex]
4 7/12+ 2 3/4+ 7 5/12
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Calm down, I gotcha!
Step-by-step explanation:
4 7/12+ 2 3/4+ 7 5/12=14.75
Factor each expression. x²-2 x-15 .
Answer:(x+3)(x-5)
Step-by-step explanation:(x^2-5x)+(3x-15)
x(x-5)+3(x-5)
(x+3)(x-5)
Find the measures of two supplementary angles if the difference between the measures of the two angle is 62 degrees
Answer:
121° and 59°
Step-by-step explanation:
We'll assign the two angles 'a' and 'b'. Since they are supplementary, this means they add to 180°. We can model this peoblem with the expressions:
a + b = 180° and a - b = 62°
Let's use the second equation to find a substitution for a:
a - b = 62°
a = 62° + b
Now substitute this in the first equation and solve:
(62° + b) + b = 180°
62° + 2b = 180°
2b = 118°
b = 59°
59° + 62° = 121° this is angle a
Stan owns 30 shares of Wal-Mart stock worth $48 a share and 50 shares of another company’s stock worth $61 a share. What is Stan’s net worth assuming he has no liabilities?
Answer: $4490
Step-by-step explanation:
30×48=1440
1440+(50×61)
Given two terms of each arithmetic sequence, find a₁ and d . a₄=8 and a₇=20
The two terms of each arithmetic sequence [tex]a_{4}[/tex] = 8 [tex]a_{7}[/tex] = 20 are d = 4 and a = -4.
What is sequence?[tex]a_{4}[/tex] = 8
8 = a +3d.............1
[tex]a_{7}[/tex] = 20
20 = a + 6d...........2
equating equation 1 and 2
8 = a +3d
20 = a + 6d
d = 12/3
d = 4...............3
from equation 3
8 = a + 12
a = -4
An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.
Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.
An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.
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44
A cook removes a package of food from a freezer and begins to defrost the package.
• The initial temperature of the package of food is -15°F.
• At noon, the temperature of the package of food has increased to 35°F.
What is the total change in temperature, in degrees Fahrenheit, for the package of food?
Show your work.
The total change in temperature, in degrees Fahrenheit, for the package of food is 50°F
The initial temperature of the package of food as given in the question is -15°F
At noon, the temperature of the package of food was changed to 35° F
We need to find out the total change in temperature which is
Temperature of food package at noon - The initial temperature of the package of food
By substituting the values given in question we get
= 35° - (-15° F)
Which is a simple integer problem
= 35 - (-15)
= 35 + 15
= 50 F
Hence, the total change in temperature, in degrees Fahrenheit, for the package of food is 50° F
An integer is the range 0, a wonderful natural number or a poor integer with a minus signal. The poor numbers are the additive inverses of the corresponding advantageous numbers. in the language of arithmetic,
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I really don't understand this. Can someone answer and explain?
ABCD ∽ EFGH, meaning both quadrilaterals are similar, therefore the proportionos of their corresponding sides are equal, thus
[tex]\cfrac{AB}{EF}~~ = ~~\cfrac{CD}{HG}\implies \cfrac{\stackrel{AB}{3}}{\underset{EF}{2}}~~ = ~~\cfrac{\stackrel{CD}{4.5}}{\underset{HG}{y}}\implies 3y=9\implies y=\cfrac{9}{3}\implies y=3[/tex]
Which is the inverse of g (h) = 10√h-6?
The inverse function as g⁻¹ (h) = [(h+6)/10]² which is the correct answer would be an option (E).
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
To determine the inverse of a function, all you have to do is switch where h and g are and resolve for g.
So after switching h and g,
g = g(h) = 10√h - 6
becomes
h = 10√g - 6
Now, we solve for h regularly.
h + 6 = 10√g
(h + 6)/10 = √g
[(h+6)/10]² ⇒ g = [(h+6)/10]² = g(x)
Therefore the inverse of g(x) is g⁻¹ (h) = [(h+6)/10]²
Hence, the inverse function as g⁻¹ (h) = [(h+6)/10]²
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3. greg took a random sample of size 100 from the population of current season ticket holders to the state
college men's basketball games. then he took a random sample of size 100 from the population of ccurrent
season ticket holders to the state college women's basketball games
what sampling technique did greg use to sample from the population of current ticket holders?
The sampling technique Greg used is stratified sampling.
Stratified sampling is used when the population is more heterogeneous. Then we divide the population into subgroups or strata which will be more homogeneous and take samples from each strata. This will ensure the equal representation from each group in population. Stratified sampling helps to reduce the variability of the estimates also.
Here the population of current season ticket holders consist both for men's basketball games and women's basketball games. So Greg considered both as separate subgroups of the population and collected random samples of size 100 from each group. This technique for sampling is known as stratified sampling.
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What is the unit price of a 24- ounce box of cereal that costs $3.60
Answer:
$0.15 per ounce
Step-by-step explanation:
Take the total price and divide by the ounces to get the price per ounce. 3.60/24 equals 0.15
whats the recipocal o 3 1/4
Answer:
4/31
Step-by-step explanation:
reciprocal=same thing upside- down,
The plot below shows the volume of 11 river water samples collected by an ecologist.How many times as great is the volume of the largest sample than the volume of the smallest sample
volume of the largest sample is 7 times the volume of the smallest sample.
What is box plot?A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.
given:
The volume of the largest sample is 7/8 gallon.
The volume of smallest sample is is 1/8 gallon.
So,
volume of the largest sample/volume of the smallest sample
=7/8 / 1/8
=7/8 * 8/1
=7
Hence, volume of the largest sample is 7 times the volume of the smallest sample.
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There is a cell phone tower in the field across from Jen's house. If Jen walks 50 feet from the tower, and finds the angle of elevation from her position to the top of the tower to be 60°C, how tall is the tower?
A cell phone tower is 173.21 feet high.
Consider the following diagram
Let AB be the height of tower, C be the position of Jen.
Jen walks 50 feet from the tower, and finds the angle of elevation from her position to the top of the tower to be 60°
An angle ACB be an angle of elevation.
⇒ ∠ACB = 60°
And AC = 50 ft
We need to find the distance AB.
Consider tangent of angle ACB.
⇒ tan(60) = AB / BC
⇒ 1.7321 = AB / 100
⇒ AB = 1.7321 × 100
⇒ AB = 173.2 feet
Therefore, a cell phone tower is 173.21 feet high.
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5 times 5 plus 36 equals
Answer:
61
Step-by-step explanation:
5•5+36
(5)(5)+36
=25+36
=61
Graph h(x) = 4x + 4 + 3.
Answer:
The graph on the screen is
Step-by-step explanation:
Good luck with your studies!
Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of \$5 dollar sign, 5 from each of the subscribers to his website. The website had 200subscribers last month. This month 40 new members joined the website and 10 members cancelled their subscription.
How much money will Adriano’s online business earn this month?
Considering the definition of an equation and the way to solve it, the money earned by Adriano's online business this month is $1,150.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
This caseIn this case, you know that every month, Adriano receives a subscription fee of $5 from each of the subscribers to his website. Then, the amount of money earned by Adriano's online business each month will be represented by the following equation:
Money earned by Adriano's online business each month= $5x
where x is the number of subscribers on the website.
On the other hand, you know:
Number of subscribers last month = 200Number of new subscribers this month = 40Number of cancellations = 10Then, the number of subscribers this month can be calculated as:
Number of subscribers this month = 200 + 40 - 10
Number of subscribers this month = 230
So, the amount of money earned by Adriano's online business this month is calculated by substituting this value in the equation above:
Money earned by Adriano's online business this month= $5×230 subscribers
Money earned by Adriano's online business this month=$1,150
Finally, the money earned by Adriano's online business this month is $1,150.
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Determine whether each sequence is geometric. If so, identify the common ratio and find the next two terms. 1, 1/2, 1/4,1/8, . . .
Common ratio= 1/2, Next two term= 1/16, 1/32
This is a geometric sequence since there is a common ratio between each term.
i.e.,
the common ratio (r) = [tex]\frac{1/2}{1}[/tex] = [tex]\frac{1/4}{1/2}[/tex]
= 1/2
We can write the formula for general term of the series as
[tex]a_{n}[/tex] = a[tex](\frac{1}{2})^{n-1}[/tex]
If the further sequence does continue in the same way then the whole infinite sequence indicated is a geometric series.
So we have
[tex]a_{2}[/tex] =(1) [tex](\frac{1}{2} )^{2-1}[/tex]= 1/2
[tex]a_{3}[/tex] = 1× [tex](\frac{1}{2} )^{3-1}[/tex]= 1/4
[tex]a_{4}[/tex] = 1× [tex](\frac{1}{2} )^{4-1}[/tex]= 1/8
[tex]a_{5}[/tex] = 1× [tex](\frac{1}{2} )^{5-1}[/tex]= 1/16
[tex]a_{6}[/tex] = 1× [tex](\frac{1}{2} )^{6-1}[/tex]= 1/32
......
Therefore the sequence is in the same series, and we get the next two terms of the sequence which are 1/16, 1/32
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PLEASE HELP ME
also do the check ur work so do the work then show me how u checked it
Answer:
first remove the brackets
then find the like terms
and work out
Determine whether each list is a sequence or a series and finite or infinite. 2.3+4.6+9.2+18.4
From the list of numbers presented we can determine that this is a finite sequence.
What are sequences?A sequence is defined by an order of values and/or elements that have a relationship of variation as a ratio or proportion that makes them predictable.
A sequence maintains an order, and this numerical order can be finite or infinite, in the given case we have the following list:
2.3 + 4.6 + 9.2 +18.4
We can clearly notice that we have a larger limit number and it is 18.4, as we know the beginning of the sequence and the exact end we can know that we are in the presence of a finite sequence.
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Prove the vector property. Let →a = and →b = .
scalar multiplication: k(→a + →b) =k→a + k→b , where k is a scalar
The scalar multiplication [tex]k(\overrightarrow{a}+\overrightarrow{b})=k\overrightarrow{a}+k\overrightarrow{b}[/tex]has been proved.
Scalar Multiplication Property:
Basically a scalar means the real number.
The scalar multiplication property states that the product of a sum or difference of a number is equal to the sum or difference of the products.
The general form of scalar multiplication as follows:
k (A + B) = kA + k B
where
k is the scalar.
Given,
Let
[tex]\overrightarrow{a}= < x_1,y_1 >[/tex]
and
[tex]\overrightarrow{b}= < x_2,y_2 >[/tex]
Then we have to prove the following scalar multiplication property,
[tex]k(\overrightarrow{a}+\overrightarrow{b})=k\overrightarrow{a}+k\overrightarrow{b}[/tex]
We know that,
"The vector is an object that has both a magnitude and a direction. And vector as a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the direction."
Here we have two vectors like [tex]\overrightarrow{a},\overrightarrow{b}[/tex].
Now we need to use the definition of the scalar multiplication property,
Then, the LHS of the expression is written as,
[tex]\implies k(\overrightarrow{a}+\overrightarrow{b})[/tex]
Apply the values of the vectors then we get,
=> k(<x₁, y₁> + <x₂, y₂>)
When we expand the terms then we get,
=> k<x₁, y₁> + k<x₂, y₂>
And it can be written as,
[tex]\implies k\overrightarrow{a}+k\overrightarrow{b}[/tex]
Therefore, the scalar multiplication property has been proved.
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Chetis camping with 75 people from this after school club. A tent can
hold up to 8 people. How many tents are needed? Explain your thinking
Answer:
10 tents
Step-by-step explanation:
I don't know if Chetis a person name or not but if it a person name then 76÷8=9.5 because 75+1=76 (including him)
if Chetis is not a person name then 75÷8=9.375
The answer would still be the same which is 10 tents needed.
