Answer: a. $128.125
Step-by-step explanation:
The standard error of the mean is given by :
[tex]SE=\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\sigma[/tex] = population standard deviation , n= sample size.
Given: [tex]\sigma=\$2,050[/tex]
n= 256
Then, the standard error of the mean:-
[tex]SE=\dfrac{2050}{\sqrt{256}}\\\\=\dfrac{2050}{16}=\$128.125[/tex]
Hence, option a. is correct.
the term to term rule of a sequence is divide by 2
i need help with this
Use the ten blocks to draw a quick picture to solve the following division problem: 165/11.
Step-by-step explanation:
[tex]\begin{array}{c|c c|c} 11 & 165 & & 15 \\ \cline {2-3} & 11 & & \\ & & 55 & \\ \cline {2-3}& & 55 & \\ & & 0& \end {array}[/tex]
Applicants to a psychology department have normally distributed GRE scores with a mean, LaTeX: \muμ, of 544 and a standard deviation, LaTeX: \sigmaÏ, of 103. What percentage of applicants scored between 500 and 700? Round to the nearest percent.A. -24% B. 78% C. 2296 D. 24% E. 5%
Answer:
The probability is P(500 < X < 700 ) = 0.60044
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 544[/tex]
The standard deviation is [tex]\sigma = 103[/tex]
Generally the percentage of applicant that scored between 500 and 700 is mathematically represented as
[tex]P(500 < X < 700 ) = P(\frac{500 - 544}{103} < \frac{X - \mu }{\sigma } < \frac{700 - 544}{103} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(500 < X < 700 ) = P(-0.4272 < Z < 1.5146 )[/tex]
=> [tex]P(500 < X < 700 ) = P( Z< 1.5146 ) - P ( Z < -0.4272 )[/tex]
Generally from the z-table, the area under the normal curve to the left corresponding to 1.5146 and -0.4272 is
P( Z< 1.5146 ) = 0.93506
P ( Z < -0.4272 ) = 0.33462
So
P(500 < X < 700 ) = 0.93506 - 0.33462
=> P(500 < X < 700 ) = 0.60044
Consider generating length-7 strings of lowercase letters. How many strings are there that either begin with 2 consonants or end with 3 vowels
Answer:
5259544316
Step-by-step explanation:
Given that:
Length of string = 7
Either begins with 2 consonants or ends with 2 vowels :
Either or :
A U B = A + B - (AnB)
Number of vowels in alphabet = 5
Number of consonants = 21
2 consonants at beginning :
First 2 consonants, then the rest could be any:
21 * 21 * 26 * 26 * 26 * 26 * 26 = 5239686816
3 vowels at the end :
First 4 letters could be any alphabet ; last 3 should be vowels.:
26 * 26 * 26 * 26 * 5 * 5 * 5 = 57122000
2 consonants at beginning and 3 vowels at the end :
21 * 21 * 26 *26 *5* 5 * 5 = 37264500
Hence,
2 consonants at beginning + 3 vowels at end 2 consonants at beginning - 2 consonants at beginning and 3 vowels At end
(5239686816 + 57122000) - 37264500
= 5259544316
Hence, number of 7 alphabet strings that begins with 2 consonants and end with 3 vowels = 5259544316
Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of 500,000; 1,000,000; 5,000,000; 10,000,000; and 100,000,000. (Round your answers to five decimal places.)sample size of 500,000 __________sample size of 1,000,000_________sample size of 5,000,000_________sample size of 10,000,000_________sample size of 100,000,000 ___________
Answer:
a) 0.00070
b) 0.00050
c) 0.00022
d) 0.00016
e) 0.00005
Step-by-step explanation:
Standard error for proportion formula
S.E = √P(1 - P)/n
Where P = proportion
n = number of samples
Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of a) 500,000
S.E = √P(1 - P)/n
= √0.46 × 0.54/500000
= √ 4.968 ×10^-7
= 0.0007048404
≈ 0.00070
b) 1,000,000
√P(1 - P)/n
= √0.46 × 0.54/1000000
= 0.0004983974
≈ 0.00050
c) 5,000,000
√P(1 - P)/n
= √0.46 × 0.54/5000000
= √ 4.968 ×10^-8
= 0.0002228901
≈ 0.00022
d) 10,000,000
√P(1 - P)/n
= √0.46 × 0.54/10000000
= √2.484 ×10^-8
= 0.0001576071
≈ 0.00016
e) 100,000,000
√P(1 - P)/n
= √0.46 × 0.54/100000000
= √2.484 × 10^-9
= 0.0000498397
= 0.00005
In a population that is normally distributed that has a mean of 45 with a standard
deviation of 5, what is the probability that a randomly selected object is over 52?
0.0001
0.0808
0.0501
0.9542
Ffind an equation for the tangent to the curve at the given point. Then sketch the curve and the tangent together.
y=8 âx,(1,8)
Answer:
y = 4x + 4
Step-by-step explanation:
given :
y = 8 [tex]\sqrt{x}[/tex] , (1,8)
The equation for the tangent to the curve at the given point
y' = 8. ( [tex]( \frac{1}{2\sqrt{x} } ) = \frac{4}{\sqrt{x} }[/tex]
next calculate the slope of the tangent (m) = y' at x = 1 = 4
hence the equation of the tangent is
y - y' = m( x - x1 )
y - 8 = 4 ( x - 1 )
y = 4x + 4
attached below is the sketch of the curve and the tangent together
Suppose Carla has $7000 to invest. Which investment yields the greater return over 4 years: 7% compounded quarterly or 6.85% compounded monthly?
a. They are the same.
b. The rate of 7% compounded quarterly is better.
c. The rate of 6.85% compounded monthly is better.
Answer:
The correct answer is B. The rate of 7% compounded quarterly is better.
Step-by-step explanation:
In the case of investment at 7% compounded quarterly, the final result after 4 years of investment arises from the following calculation:
X = 7000 x (1 + 0.7 / 3) 4x3
X = 9,232.16
Therefore, after 4 years of investment, the amount in the account would be $ 9,232.16.
In turn, in the case of the investment at 6.85% compounded monthly, the final result after the same investment period arises from the following calculation:
X = 7000 x (1 + 0.685 / 12) 4x12
X = 9,199.33
Thus, in this case, the amount in the account after 4 years of investment would be $ 9,199.33.
A store has 5 travel guide books and 9 fictions on the shelves. If two customers bought a book, find the probability that one of each book was bought.
Answer:
[tex]Probability = \frac{45}{98}[/tex]
Step-by-step explanation:
Given
Represent travel guide with T and Fictions with F
[tex]T = 5[/tex]
[tex]F = 9[/tex]
Required
Determine the probability that one of both was selected
This implies that (1 travel guide and 1 fiction) or (1 fiction and 1 travel guide)
The probability is is calculated as thus:
[tex]Probability = P(T\ n\ F)\ or\ P(F\ n\ T)[/tex]
In probability, the above formula can be translated to
[tex]Probability = P(T) *P(F)\ +\ P(F) *P(T)[/tex]
[tex]Probability = \frac{n(T)}{Total} *\frac{n(F)}{Total}\ +\ \frac{n(F)}{Total} *\frac{n(T)}{Total}[/tex]
[tex]Probability = \frac{5}{5 + 9} *\frac{9}{5 + 9} +\frac{9}{5 + 9} *\frac{5}{5 + 9}[/tex]
[tex]Probability = \frac{5}{14} *\frac{9}{14} +\frac{9}{14} *\frac{5}{14}[/tex]
[tex]Probability = \frac{45}{196} +\frac{45}{196}[/tex]
[tex]Probability = \frac{90}{196}[/tex]
[tex]Probability = \frac{45}{98}[/tex]
What is a combination of operations on letters and numbers?
A: Expression
B: Term
C: Factor
D: Variable
Answer:
A. Expression
Step-by-step explanation:
In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
During a review game, Mr. TooMuch's class correctly answered 68 questions on the first try. If there were 74 questions in the game, at what rate were questions answered correctly on the first try? Express your answer as a decimal in the form of 0.ABC.
If necessary, round to the nearest thousandth.
Savannah buys a $40 gift card to her favorite smoothie shop. Each smoothie costs $4. She wants to have at least $10 left on her card at the end of this month. The inequality below relates x, the number of smoothies she could buy between now and the end of this month with her gift card balance. 40 minus 4 x greater-than-or-equal-to 10 Which best describes the number of smoothies Savannah can buy?
Answer:
3 smothies
Step-by-step explanation:
40-10=30$
30÷4=7and she is left with 2 dollar extras
write the slope-intercept form of the equation of the equation. PLEASE HELP. i will give brainliest.
Answer: Slope intercept form: y = mx + b
A. y = 4/7 x + 27/7
Screenshot attached.
Step-by-step explanation: Slope is m. In this example, it is 4/7. The y-intercept is b. in this example it is 2 in the question and 27/7 in the answer choice.
First clue why A is the answer: the slope must be the same if the lines are parallel
Jonah’s family is ordering dinner. Each adult meal costs $8.50, each kid meal costs $6.75, and each drink costs $1.75. There are a adults and k kids in the family. If everyone orders a meal and a drink, which expression can be used to express the total cost of the meal?
Answer:
one expression you could use could be, 10.25A +8.50K=total
Step-by-step explanation:
you would take 1.75 and add it to the 8.50 for the adults and 6.75 for the kids
Answer:
$8.50a+$6.75k+$1.75a+$1.75k
Step-by-step explanation:
Convert: 7 pt 1 c = [] c
Answer:
Pint value is 1 and cup value is 1 pt = 2 c. Sorry if I am wrong!
Step-by-step explanation:
A rectangle has a height of 4 and a width of x2 + 3x + 2.
Express the area of the entire rectangle.
Expression should be expanded.
Hence, we know that area of rectangle is equals to the product of length and breadth.
Therefore, the area of rectangle is,
[tex] = 4 \times( {x}^{2} +3x + 2 ) \\ = 4({x}^{2} + 3x + 2) \\ = \green{ \boxed{4 {x}^{2} + 12x + 8}}[/tex]
Therefore, the answer is 4x² + 12x + 8.
Which expression is equivalent to 6x2 – 19x – 55?
Answer:
(6x + 11)(x – 5)
Step-by-step explanation:
Trust me!
pls help and explain if u can
Answer:
Step-by-step explanation:
6 - 3(x + 1) = 18 ⇔ 3 - 3x = 18 ⇒ x = 5
y - 6 = 17 ⇒ y = 23
z - 3 = 4z ⇒ z = - 1
18 - 3(0) = 9w ⇒ w = 2
========================
I'm going to solve for you some another question you asked, I did not see the right answer... :)
There are two scenarios, because the expression under the module can be positive and can be negative: | 3x + 2| - 2 > 3 ⇔ | 3x + 2| > 5
(1). If (3x + 2) is positive then
3x + 2 > 5 ⇒ x > 3
(2). If (3x + 2) is negative then
- (3x + 2) > 5
- 3x - 2 > 5
- 3x > 7 ⇒ x < - [tex]\frac{7}{3}[/tex]
The final answer is x < - 2.3 or x > 1
The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days. The probability that the average pregnancy length for nine randomly chosen women exceeds 268 days is about a) 0.35 b) 0.40 c) 0.65 d) 0.27
Answer:
The probability is [tex]P( \= X > 268 ) =0.35376[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 266[/tex]
The standard deviation is [tex]\sigma = 16[/tex]
Generally the standard error of mean is mathematically represented as
[tex]\sigma_{\= x} = \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]\sigma_{\= x} = \frac{16}{\sqrt{9} }[/tex]
=> [tex]\sigma_{\= x} = 5.33[/tex]
Generally the probability that the average pregnancy length for nine randomly chosen women exceeds 268 days is mathematically represented as
[tex]P( \= X > 268 ) = P (\frac{ \= x - \mu }{ \sigma_{\= x}} > \frac{268 - 266}{5.33 } )[/tex]
[tex]\frac{\= X -\mu}{\sigma_{\= x} } = Z (The \ standardized \ value\ of \ \= X )[/tex]
[tex]P( \= X > 268 ) = P (Z > 0.3752 )[/tex]
From the z table the area under the normal curve to the right corresponding to 0.3752 is
P (Z > 0.3752) = 0.35376
So
[tex]P( \= X > 268 ) =0.35376[/tex]
Cara deposited $200 dollars into her savings account bringing her balance up to $450.
Which equation can be used to find, x, the savings account balance before the $200 deposit?
Answer:
$250 dollars was the original amount of money before she deposited the extra $200 dollars.
Step-by-step explanation:
450 - 200= $220 dollars
220+200= $420 dollars
220+30= $250 dollars
250+200= $450 dollars
$250 dollars is the total amount of money that was originally deposited into her savings account.
Answer:
x + 200 = 450
Step-by-step explanation:
Since clara deposited $200 into her savings account and it brought her account up to $450, to find the answer you would add "x" with 200 and you should get 450 which means x= 250. we can check our answer by solving : 450-200 and you should get 250 for your answer so the answer is
you had no answer choices so typed it out i have the same question on my test and i knew the answer so i decided to help :D :) <3
Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded.
The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians.
What is the area of the shaded sector?
36Pi units squared
72Pi units squared
144Pi units squared
324Pi units squared
The area of the sector in circle R is: C. 144Pi units squared
How to Find the Area of a Sector of a Circle?Area of sector = (1/2) × r²θ.
Given the parameters:
θ = 8π/9Radius (r) = 18Plug in the values
Area of sector = (1/2) × (18²)(8π/9)
Area of sector = 144π units²
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2.2.23 : Question Help A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 40 lb. The maximum capacity of the elevator is 1030 lb. How many boxes of books can the delivery person bring up at one time?
Step-by-step explanation:
HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!
Answer:
21
Step-by-step explanation:
1030-160=870870/40=21.75you round downthe answer is 212. An inaccurate clock loses
3 1/2
minutes every 8 hours. How much time will the clock lose in one
week?
Answer: 588 min
24x7 x3.5
3x>9
Which of the following sentences is the word equivalent of the expression above?
The product between 3 and a number is no less than 9
The product between 3 and a number is greater than 9
The product between 3 and a number is no more than 9
The product between 3 and a number is less than 9.
Answers to the entire test:
Step-by-step explanation:
1. C. a<b
2.A. x >_0
3. A. The product between 3 and a number is greater than 9
4. B. The difference of 16 and the product of 5 and a number is no less than 1
5.B. 6(x-4)<_20
Mark up is 40% and the cost to store is 162 dollars what is the selling price
Answer:
$64.8
Step-by-step explanation:
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10 workers produce 30 complex elements in 10 days. In how many days would 5
workers produce 24 elements?
Given:
10 workers produce 30 complex elements in 10 days.
To find:
The number of days, in which 5 workers produce 24 elements.
Solution:
According to the question, let as assume
[tex]n_1=10[/tex]
[tex]w_1=30[/tex]
[tex]d_1=10[/tex]
[tex]n_2=x[/tex]
[tex]w_2=24[/tex]
[tex]d_2=5[/tex]
where, n is number of workers, w is work done, and d is number of days.
We have, a formula,
[tex]\dfrac{n_1\times d_1}{w_1}=\dfrac{n_2\times d_2}{w_1}[/tex]
Substituting the values in the above formula, we get
[tex]\dfrac{10\times 10}{30}=\dfrac{x\times 5}{24}[/tex]
[tex]\dfrac{10}{3}=\dfrac{5x}{24}[/tex]
Isolate variable x.
[tex]\dfrac{10}{3}\times \dfrac{24}{5}=\dfrac{5x}{24}\times \dfrac{24}{5}[/tex]
[tex]\dfrac{240}{15}=x[/tex]
[tex]16=x[/tex]
Therefore, the required number of days is 16.
Answer in Slope form
Answer:
y=1/4x+3
Step-by-step explanation:
Use the substitution method to solve the system of equations.
2x + 3y = 12
y = x-1
A. (3, 4)
B. (0,4)
C. (3,2)
D. (2,3)
Answer:
(3,2)
Step-by-step explanation:
The solution to the system of equations is (3, 2). So, the answer is option C. (3,2).
How to solve the equations by substitution method?We are given the system of equations:
2x + 3y = 12
y = x-1
We can use the substitution method by substituting the expression for y in the first equation with the value of y from the second equation:
2x + 3(x-1) = 12
Simplifying the equation, we get:
2x + 3x - 3 = 12
5x = 15
x = 3
Now, we can substitute the value of x in either of the two equations to find the value of y:
y = x-1
y = 3-1
y = 2
Therefore, the solution to the system of equations is (3, 2). So, the answer is option C. (3,2).
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Which property would you use to simplify the following expression 4(y+5)