The expression equivalent to cd[tex]\sqrt{22}[/tex] is b)[tex]\sqrt{22}[/tex]cd.
What is expression?
Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it. a collection of symbols, numbers, and operators (like and) that represent the value of something. Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.
Here the given expression is ,
=> cd[tex]\sqrt{22}[/tex] which is ,
=> c×d×[tex]\sqrt{22}[/tex]
=>[tex]\sqrt{22}[/tex]cd.
Therefore the expression equivalent to cd[tex]\sqrt{22}[/tex] is b)[tex]\sqrt{22}[/tex]cd.
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Which event is most likely to occur?
A. Rolling a multiple of 4 on an eight-sided die, numbered from 1 to 8.
B. Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on blue or green or purple.
C. Winning a raffle that sold a total of 100 tickets if you buy 24 tickets.
D. Reaching into a bag full of 38 strawberry chews and 2 cherry chews without looking and pulling out a strawberry chew.
Answer:
winning a raffle ticket is more like to occur because there is much more chance (24tickets) to win
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A would be 1/4 because there are 2 multiples of 4 so it would be 2/8 which would simplify to 1/4
B would be 3/5 since it’s 3/5 possibilities
C would be 12/50 because it would simplify from 24/100 to that
D would be 19/20 because there are 38 strawberry chews and + 2 cherry chews = 40 so 38/40 or 19/20
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Sampling distributions for the mean follow many rules. Which of the rules listed below is false? Two of the options listed are false. Sampling distributions get wider (I.e. have greater variability) with increasing sample size Sampling distributions of size n > 30 are typically bell-shaped Sampling distributions are composed of statistics from many, many samples. All of the options listed are false. Sampling distributions are centered over the true population parameter. Three of the options listed are false.
Option B. The rule of sampling distribution that is listed here that can be said to be false is Sampling distributions get wider (I.e. have greater variability) with increasing sample size.
What is meant by sampling distribution?The probability distribution of a statistic that is acquired by repeated sampling of a particular population is called the sampling distribution. It outlines a variety of potential possibilities for a statistic, such as the mean or mode of a population's mean or mode of some variable.
It could be regarded as the statistical distribution for all feasible samples drawn from the same population with a particular sample size. The population's underlying distribution, the statistic under consideration, the sampling technique utilized, and the sample size used all have an impact on the sampling distribution.
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I need help with this
The option that can be used to verify the trigonometric identity, [tex]tan\left(\dfrac{x}{2}\right)+cot\left(x \right) = csc\left(x \right)[/tex] is option C;
C. [tex]tan\left(\dfrac{x}{2} \right) + cot\left(x \right) = \dfrac{1-cos\left(x \right)}{sin\left( x \right)} +\dfrac{cos \left(x \right)}{sin\left(x \right)} =csc\left(x \right)[/tex]
What is a trigonometric identity?A trigonometric identity is an equations that consists of trigonometric functions that remain true for all values of the argument of the functions
The specified identity is presented as follows;
[tex]tan\left(\dfrac{x}{2} \right)+cot(x)=csc(x)[/tex]
The half angle formula for tangent indicates that we get;
[tex]tan\left(\dfrac{1}{2} \cdot \left(\eta \pm \theta \right) \right) = \dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}[/tex]
[tex]\dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}=\dfrac{sin \left(\eta\right) \pm sin\left(\theta \right)}{cos \left(\eta \right) + cos \left(\theta \right)} = -\dfrac{cos \left(\eta\right) - cos\left(\theta \right)}{sin \left(\eta \right) \mp sin \left(\theta \right)}[/tex]
When η = 0, we get;
[tex]-\dfrac{cos \left(0\right) - cos\left(\theta \right)}{sin \left(0 \right) \mp sin \left(\theta \right)}=-\dfrac{1 - cos\left(\theta \right)}{0 \mp sin \left(\theta \right)}=\dfrac{1 - cos\left(\theta \right)}{sin \left(\theta \right)}[/tex]
Therefore;
[tex]tan\left(\dfrac{x}{2} \right)=\dfrac{1 - cos\left(x \right)}{sin \left(x \right)}[/tex]
[tex]cot\left(x \right) = \dfrac{cos(x)}{sin(x)}[/tex]
[tex]tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}[/tex]
[tex]\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1-cos(x)+cos(x)}{sin(x)} = \dfrac{1}{sin(x)}[/tex]
[tex]\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1}{sin(x)}=csc(x)[/tex]
Therefore;
[tex]tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)} = csc(x)[/tex]
The correct option that can be used to verify the identity is option C
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Solve for y.
y² +4y+4=0
Answer:
y=-2
Step-by-step explanation:
[tex]y^2+4y+4=0\\y^2+2y+2y+4=0\\(y^2+2y)+(2y+4)=0\\y(y+2)+2(y+2)=0\\(y+2)=0\\and \\(y+2)=0\\y=-2[/tex]
[tex]Proof:\\(-2)^2+4(-2)+4=0\\4+(-8)+4=0\\8-8=0\\0=0[/tex]
Which statement are true about the linear inequality y>3/4x-2 select three options
The graph of linear inequality y > 3/4x - 2 is attached below and it's properties are the graph passes through the x - axis at 2.67, the graph passes through the y - axis at -2 and the graph has a straight broken line to denote the ">" inequality sign.
Linear InequalityLinear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1. There are several ways to represent various kinds of linear inequalities.
In the inequality given, we can represent this on a graph and discuss it's properties.
The graph of y > 3/4x - 2 shows these properties
The graph passes through the x - axis at 2.67The graph passes through the y - axis at -2 The graph has a straight broken line to denote the ">" inequality sign.Kindly find the attached graph below
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Complete Question:
Which of the statement are true about the linear inequality y > 3/4x - 2
I. The graph has a broken line
II. The graph has an unbroken line
III. The graph passes through y - axis at -2
IV. The graph passes through the x - axis at 2.67
The fraction is between 1/2 and 3/4.
Write down all the possible values of n. Optional working
n =
The possible fraction n is n = 5/8
How to determine the possible fraction?From the question, we have the following statement that can be used in our computation:
The fraction is between 1/2 and 3/4.
This fraction is represented by n
So, we have
n is between 1/2 and 3/4.
The fractions 1/2 and 3/4 can be rewritten as
1/2 = 4/8
3/4 = 6/8
This means that
n is between 4/8 and 6/8
The number 5 is between 4 and 6
So, we have
5/8 is between 4/8 and 6/8
This means that
n = 5/8
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For scores that are normally distributed with a mean score of 120 and a standard
deviation of 20.
1) What % of the data is between 80 and 160?
2) What % of the data is below 100?
3) 68% of the scores are between what scores?
4) Find the z-score for a score of 155.
5) Find the z-score for a score of 90.
6) Find a score that is 3 standard deviations above the mean.
7) Find a score that is 2.5 standard deviations below the mean
Answer:
Step-by-step explanation:
The standard normal distribution is a normal distribution of standardized values called z-scores. A z-score is measured in units of the standard deviation. For example, if the mean of a normal distribution is five and the standard deviation is two, the value 11 is three standard deviations above (or to the right of) the mean. The calculation is as follows:
x = μ + (z)(σ) = 5 + (3)(2) = 11
The z-score is three.
The mean for the standard normal distribution is zero, and the standard deviation is one. The transformation
z=x-u/o produces the distribution Z ~ N(0, 1). The value x comes from a normal distribution with mean μ and standard deviation σ.
what should i say to this. like it’s okay, that was in the past???
Answer: You got roasted sir. Leave it alone.
Step-by-step explanation:
Four and two thirds plus seven ninths
Answer:
5 and two ninths
Step-by-step explanation:
Answer:
4/3=4*3+3*3=12/9+7/9=19/9
Step-by-step explanation:
En fait il faut le mettre au même dénonminateur puis additionner les numérateur.
How much should be deposited in an account paying 3.5% interest, compounded semiannually, in order to have a balance of $ 6,000 after 17 years and 6 months?
Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.
Principal ≈ $
The principal that was deposited is $3326.45 .
What is the principal?The principal has to do with the amount that has been deposited in the bank and after a while we would have the amount which is the summation of the principal and the interest that accrues.
Given that;
A = P(1 + r/n)^nt
A = amount
P = principal
r = rate
n = number of times compounded
t = time
Then;
6,000 = P(1 + 0.035/2)^2 * 17
P = 6000/(1 + 0.035/2)^2 * 17
P = $3326.45
At the beginning the money that was deposited is $3326.45 .
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Help please and thank you
The continuous rate of growth is 50 %,the initial population is 940 and at time t = 5 11451 bacteria will be there.
a)
A exponential function is represented as:
n(t) = n(0) e^kt
where k is the continuous rate of growth.
Given problem:
The number of bacteria in a culture is given by:
n(t) = 940 e^0.5t
on comparing k = 0.5
= 0.5*100%
= 50 %
b)
On comparing with exponential function with given function.
n(0) = 940
which is the initial population.
c)
At t = 5
n(5) = 940*e^0.5*5
= 940*e^2.5
= 940*12.1824
≈ 11451
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Solve the system of equations by substitution
x=-4
x+5y=2
Find all values of m for which the equation has two real solutions.
3x² + 7x - (m + 1) = 0
ñ
Given equation to us is , [tex]3x^2+7x-(m+1)=0[/tex] .
The given equation is a quadratic equation and it has two real solutions if it's discriminant is greater than or equal to 0 .
For a quadratic equation in standard form of [tex]ax ^{2} + bx + c = 0[/tex]
the discriminant is given by b² - 4ac .
On comparing wrt to Standard form, we have ;
[tex]a = 3[/tex][tex]b = 7[/tex][tex]c = - (m+1)[/tex]Hence we have,
[tex]\longrightarrow b^2-4ac \geq 0\\ [/tex]
[tex]\longrightarrow 7^2-4(3)-(m+1)\geq 0\\[/tex]
[tex]\longrightarrow 49 +12(m+1)\geq 0\\ [/tex]
[tex]\longrightarrow 49 +12m+12\geq 0 \\ [/tex]
[tex]\longrightarrow 12m \geq -61\\[/tex]
[tex]\longrightarrow \underline{\underline{m \geq \dfrac{-61}{12}}} [/tex]
Therefore the given quadratic equation will have real solutions for values of m greater than or equal to -61/12 .
And we are done!
find the sum of the AP 1 + 3 ½/2 +6.... 101
Answer:
2091
Step-by-step explanation:
[tex]1+3.5+6+\cdots+101 \\ \\ n=\frac{101-1}{2.5}+1=41 \\ \\ a=1 \\ \\ d=2.5 \\ \\ S=\frac{41}{2}[2(1)+(41-1)(2.5)] \\ \\ =2091[/tex]
A one-way data table summarizes
A. a single input's impact on the output of interest
B. values of the input cells that will cause the single output value to equal zero
C. multiple input's impact on a single output of interest
D. values of cells when not all of the model is observable on the screen
Answer:
A
Step-by-step explanation:
hope this helps! :) Hope you have. a great day
3/5 + 7/8 + 3/10 = plssss ghelp
Answer:
[tex]\frac{71}{40}[/tex]
or
71/40
Explanation:
[tex]\frac{3}{5} + \frac{7}{8} + \frac{3}{10}[/tex]
LCM (Least Common Multiple) of 5, 8, and 10 = 40
5 × 8 = 40
8 × 5 = 40
10 × 4 = 40
(8 × [tex](\frac{3}{5} )[/tex] ) + (5 × [tex](\frac{7}{8} )[/tex] ) + (4 × [tex](\frac{3}{10} )[/tex] )
[tex]\frac{24}{40} + \frac{35}{40} + \frac{12}{40}[/tex]
[tex]\frac{71}{40}[/tex]
What graph would best display the data shown in the frequency table?
A. line plot
B. vertex-edge graph
C. histogram
D. stem-and-leaf graph
Answer:
histogram
Step-by-step explanation:
The ratio of men to women at a college is 7 to 5. how many women students are there if there are 350 men?
Examine the following typical corporate bond listing:
In the name column, NYTel is the abbreviated name of the company (New York Telephone) issuing the bond. What was the closing price of the bond? What was the dollar amount? (See attachments)
a. 101 3/4; $101,750
b. 7 1/4; $7250
c. 101 3/4; $1017.50
d. 107 1/4; $1072.50
Answer:
C. 101 3/4; $1017.50
Step-by-step explanation:
Correct on E2020!
a biology text editor spent 10.5 hour making telephone calls, writing email, and attending meetings. he spent thrice as much time attending meeting as making telephone calls and 0.5 hour longer writing emails than making telephone calls. how many hour did he spent on each task?
Answer:
telephone calls = 2 hours ; attending meeting = 6 hours ; writing email= 2.5 hours
Step-by-step explanation:
t + e + m = 10.5
3t = m
e = 0.5 + t
t + 0.5 + t + 3t = 10.5
5t = 10.5 - 0.5
5t = 10
5/5 t = 10/5
t = 2
e = 0.5 + 2
e = 2.5
m = 3 (2)
m = 6
what are the next numbers in the series 1, 2, 3, 0, 1, 2, -1
Answer:
Step-by-step explanation:
the pattern is x+1+1-3 so
1+(1)=2
2+(1)=3
3-(3)=0
Alright now the next numbers (assuming the next 3 numbers?)
-2,-3,-4
I’m so sorry if I’m incorrect but I hope this helps
please help due tomorrow
Given are the number of pens and + in students bag.
We can see from the dataset graph that -
for number of pens, 3 pens are found in maximum number of bags of students. So the modal number will be 3.for number of pencils, 9 pencils are found in maximum number of bags of students. So the modal number will be 9.Therefore -
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Ethan did a maths test marked out of 80 and got 92.5% correct. He also
did an English test marked out of 64 and got 18.75% correct.
How many more marks did Ethan get in the maths test than the English
test?
Answer:
[tex]62[/tex]
Step-by-step explanation:
based on the given:
(Note: of ⟹ multiplication, percentage ⟹ ÷100, the number of marks he got in math more than English ⟹ the value he got in math minus the value he got in English)
Moving on, for math test:
80 × 92.5/100 = 74
For English test:
64 × 18.75/100 = 12
Now, the number of marks he got in math more than English ⟹ 74 - 12 = 62
Therefore, final answer is 62
I hope this helpsConvert 93 ft to yards
Answer:
31 yards
Step-by-step explanation:
Since there are 3ft in 1 yard,
93 ft / 3 ft = 31 yards
Answer:
31 yards
Step-by-step explanation:
1 ft is 1/3 yard
So 93 ft = 93/3
= 31 yards
OR
1 ft is 0.333 yard
93 × 0.333 = 31 yard.
Covert 225g to kilograms using unit fractions ?
Answer:
.225 kg
Step-by-step explanation:
[tex]\frac{225 grams}{1}[/tex] x [tex]\frac{1kg}{1000grams}[/tex] = .225 kg
need help pls thank you
a) The value of b if the total number of students is 55 is; b = 8
b)i) Probability that the student passed both french and german is 19/55
ii) Probability that the student passed exactly one of the two subjects is; 36/55
How to interpret Venn Diagrams?A venn diagram is used to compare and contrast two different ideas.
We are given that;
Number of students that passed French only = 17
Number of students that passed German only = 11
Number of students that passed both French and German = 19
Number of students that did not pass any of the 2 subjects = b
Total number of students = 55
Thus;
a) To get the value of b that will represent the number of students who didn't pass any of the 2 subjects will be calculated as;
b = 55 - (17 + 11 + 19)
b = 8
b)i) To get the probability that the student passed both french and german is given by the formula;
P(Paased french and german) = Number that passed french and german/Total number of students = 19/55
ii) To get the Probability that tells us the student passed exactly one of the two subjects is;
(17/55) + (19/55) = 36/55
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The —-
of a quadratic equation is ax² +bx+c = 0, where a 0 and a, b, and care integers
The degree of the quadratic equation, ax² +bx+c = 0 will be 2.
What is a quadratic equation?Any equation of the form ax² +bx+c = 0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation. Any function of the form of the given form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.
It is given that the equation is,
ax² +bx+c = 0
The highest power of the quadratic equation is the degree to that quadratic equation. The highest power of the given quadratic equation is 2.
Thus, the degree of the quadratic equation, ax² +bx+c = 0 will be 2.
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On a recent trip to the convenience store, you picked up 3 gallons of milk, 4 bottles of water, and 7 snack-size bags of
chips. Your total bill (before tax) was $23.40. If a bottle of water costs twice as much as a bag of chips, and a gallon of
milk costs $2.20 more than a bottle of water, how much does each item cost?
Answer:
bottle of water: $1.60
gallon of milk: $3.80
bag of chips: $0.80
Step-by-step explanation:
First, the amount of groceries bought can be represented as:
[tex]3m + 4w + 7c = \$ 23.40[/tex]
where [tex]m[/tex] represents the cost of one gallon of milk, [tex]w[/tex] represents the cost of a bottle of water, [tex]c[/tex] represents the cost of one bag of chips.
We can form a system of equation by constructing another equation to substitute into the first using the other pieces of information given.
"a bottle of water costs twice as much as a bag of chips"
[tex]w = 2c[/tex] → [tex]c = \dfrac{w}{2}[/tex]
"milk costs $2.20 more than a bottle of water"
[tex]m = w + \$ 2.20[/tex]
Now, substitute these into the first equation and solve for w in terms of c.
[tex]3(w + 2.20) + 4w + 7\cdot \dfrac{w}{2} = 23.40[/tex]
[tex]3w + 6.60 + 4w + \dfrac{7}{2} \, w = 23.40[/tex]
[tex]\dfrac{21}{2} \, w = 16.80[/tex]
[tex]21w = 33.60[/tex]
[tex]w = 1.60[/tex]
So, one bottle of water costs $1.60.
To solve for the other items, plug the solved value into the 2-variable equations.
[tex]m = 1.60 + 2.20[/tex]
[tex]m = 3.80[/tex]
So, one gallon of milk costs $3.80.
[tex]c = \dfrac{1.60}{2}[/tex]
[tex]c = 0.80[/tex]
So, one bag of chips costs $0.80.
A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of n=1200 n=1200
registered voters and found that 620 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state who would vote for the Republican candidate.
We test
H0:p=.50
H0:p>.50
The value of z = 1.15
The value of the p value is 0.124. vWe would fail to reject the null hypothesis
How to solve for the z statisticWe have to find the sample proportion
This is given as x / n
where
x = 620
n = 1200
620 / 1200
= 0.516667
The null hypothesis that is to be tested is H0:p=.50
The alternative hypothesis that is to be tested as well is H1:p>.50
We are to test for the value of Z as well as P value through the use minitab software and make conclusions with the results.
In the result, the
1. The value of z is solved to be 1.15
2. The P value is 0.124. The value of the P value is very high, the decision would be for us to fail to reject the null hypothesis.
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Complete question
A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of n=1200 registered voters and found that 620 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state who would vote for the Republican candidate.
We test
H0:p=.50
Ha:p>.50
(a) What is the z-statistic for this test?____.
(b) What is the P-value of the test?_____.
Answer:
620÷2=310 50% is half of 620
Step-by-step explanation:
3. The expression 0.12 x+(x-35) models the final price of a scooter with an instant rebate in a state that charges sales tax.
- Which part of the expression represents the discounted price before tax?
- Which part of the expression represent the amount of sales tax, in dollars (not the tax rate, the amount of sales tax paid)?
The expression x - 35 represents the discounted price before tax. The expression 0.12x represent the amount of sales tax.
What is an expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression given which models the final price of a scooter with an instant rebate in a state that charges sales tax is:
⇒ 0.12x + (x - 35)
As per the given expression,
The discounted price before tax = x - 35
The amount of sales tax = 0.12x
Thus, the expression x - 35 represents the discounted price before tax and the expression 0.12x represent the amount of sales tax.
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