1. 3x^4
2. =5x^2+16
3. 16u^2−3
4. =6b^7+12a
The following are the ages of 13 history teachers in a school district. 24, 27, 29, 29, 35, 39, 43, 45, 46, 49, 51, 51, 56 Notice that the ages are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set.
Answer:
Below in bold.
Step-by-step explanation:
Minimum 24
Lower quartile 29
Median 43
Upper quartile = (49 + 51) / 2 = 50
Maximum = 56
Interquartile range = 50-29 = 21.
D
الا
3x+3
4x+2
Determine the value of mZDCB.
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The given Angles (4x + 2) and (3x + 3) are forming linear pair, so
\(4x + 2 + 3x + 3 = 180\)\(7x + 5 = 180\)\(7x = 180 - 5\)\(7x = 175\)\(x = \dfrac{175}{7} \)\(x = 25\)now, let's find Angle DCB :
\(3x + 3\)\((3 \times 25) + 3\)\(75 + 3\)\(78 \degree\)Leslie has 6 bags of marbles. Each bag has 16 marbles. If
1
3
3
1
of the marbles are purple, how many purple marbles does Leslie have?
The quantity of purple marbles that Leslie has would be = 32 purple marbles.
How to calculate the quantity of purple marbles Lesile have?The number of bags of marbles that Leslie has = 6 bags.
The quantity of marbles that is found in each bag = 16 marbles.
Therefore the total number of marbles = 6× 16 =96 marbles.
The fraction of purple marbles that Leslie has = 1/3 of 96
Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32
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Complete question:
Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?
Find the 18th term in the following
arithmetic sequence:
-2, -6, -10, -14, . . .
Answer:
-70
Step-by-step explanation:
-2, -6, -10, -14, ...
-6 - (-2) = -4
The common difference in -4.
The nth term of an arithmetic sequence with common difference d is
a_n = a_1 + d(n - 1)
For n = 18,
a_18 = -2 + (-4)(18 - 1)
a_18 = -2 + (-4)(17)
a_18 = -2 - 68
a_18 = -70
Answer: -70
Step-by-step explanation:
{\(a_{n}\)=\(a_{1}\)+(n-1)d}
a_{1}= -2
d= -4
\(a_{18} =-2+(18-1)*(-4)=-2-68 = -70\)
I need help it’s due in 30 minutes
Answer:
yeet
Step-by-step
i dont know
TRUE/FALSE. post-implementation evaluation primarily is concerned with assessing the quality of a new system.
True. Post-implementation evaluation refers to the process of evaluating the performance and effectiveness of a new system after it has been implemented.
It involves assessing the extent to which the system meets the intended objectives, as well as its overall quality and impact on the organization. The evaluation can be carried out through various methods such as user feedback, performance metrics, and system testing.
Therefore, post-implementation evaluation is primarily concerned with assessing the quality of a new system and its ability to deliver the expected benefits to the organization.
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Given a normal distribution with u = 100 and o= 10, complete parts (a) through (d).
a. What is the probability that X> 85? The probability that X> 85 is_____(Round to four decimal places as needed.) b. What is the probability that X<80? The probability that X < 80 is ____(Round to four decimal places as needed.) c. What is the probability that X<90 or X> 130? The probability that X<90 or X> 130 is ____ (Round to four decimal places as needed.) d. 99% of the values are between what two X-values (symmetrically distributed around the mean)? 99% of the values are greater than __ and less than _(Round to two decimal places as needed.)
To solve the given problems, we'll use the properties of the normal distribution with mean μ = 100 and standard deviation σ = 10.
a. Probability that X > 85:
To find this probability, we need to calculate the area under the normal curve to the right of 85. We can use the standard normal distribution table or a calculator to find the corresponding z-score and then use the z-table to find the probability.
First, let's calculate the z-score:
z = (X - μ) / σ
z = (85 - 100) / 10
z = -15 / 10
z = -1.5
Using the z-table or a calculator, we find that the probability of Z > -1.5 is approximately 0.9332.
Therefore, the probability that X > 85 is 0.9332 (rounded to four decimal places).
b. Probability that X < 80:
Similarly, we'll calculate the z-score for X = 80:
z = (X - μ) / σ
z = (80 - 100) / 10
z = -20 / 10
z = -2
Using the z-table or a calculator, we find that the probability of Z < -2 is approximately 0.0228.
Therefore, the probability that X < 80 is 0.0228 (rounded to four decimal places).
c. Probability that X < 90 or X > 130:
To calculate this probability, we'll find the individual probabilities of X < 90 and X > 130, and then subtract the probability of their intersection.
For X < 90:
z = (90 - 100) / 10
z = -10 / 10
z = -1
Using the z-table or a calculator, we find that the probability of Z < -1 is approximately 0.1587.
For X > 130:
z = (130 - 100) / 10
z = 30 / 10
z = 3
Using the z-table or a calculator, we find that the probability of Z > 3 is approximately 0.0013.
Since these events are mutually exclusive, we can add their probabilities:
P(X < 90 or X > 130) = P(X < 90) + P(X > 130)
P(X < 90 or X > 130) = 0.1587 + 0.0013
P(X < 90 or X > 130) = 0.1600
Therefore, the probability that X < 90 or X > 130 is 0.1600 (rounded to four decimal places).
d. 99% of the values are between what two X-values (symmetrically distributed around the mean)?
To find the two X-values, we need to find the corresponding z-scores for the cumulative probabilities of 0.005 and 0.995. These probabilities correspond to the tails beyond the 99% range.
For the left tail:
z = invNorm(0.005)
z ≈ -2.576
For the right tail:
z = invNorm(0.995)
z ≈ 2.576
Now we can find the corresponding X-values:
X1 = μ + z1 * σ
X1 = 100 + (-2.576) * 10
X1 = 100 - 25.76
X1 ≈ 74.24
X2 = μ + z2 * σ
X2 = 100 + 2.576 * 10
X2 = 100 + 25.76
X2 ≈ 125.76
Therefore, 99% of the values are greater than 74.24 and less than 125.76 (rounded to two decimal places).
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Find the equation of a line passes throgh the point 3,1 and has a gradient 3
leave answer in form y=mx+c
The required equation of the line passes through the point ( 3, 1 ) and gradient 3 is given by y = 3x - 8.
The line passes through the point (3,1)
and gradient (slope) of 3.
The equation of a line in slope-intercept form is y = mx + c,
where m is the slope and c is the y-intercept.
Now, substitute these values into the slope-intercept form equation to get,
⇒ 1 = 3(3) + c
⇒ 1 = 9 + c
⇒ c = -8
Equation of the line is written by substituting the value of m = 3 and
c = -8 as,
⇒ y = 3x - 8
Therefore, the equation of the line passes through the given point and with given gradient is equal to y = 3x - 8.
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Which statement compares the two numbers correctly? (2 points) Fifty-seven thousand, eight hundred and twenty-two hundredths ________ fifty-seven thousand eight hundred and three tenths Select one: a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths b. Fifty-seven thousand eight hundred and twenty-two hundredths > fifty-seven thousand eight hundred and three tenths c. Fifty-seven thousand nine hundred and three tenths > fifty-seven thousand eight hundred and twenty-two hundredths d. Fifty-seven thousand eight hundred and three tenths = fifty-seven thousand eight hundred and twenty-two hundredths
Answer:
a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths
Step-by-step explanation:
In numbers it is written in the order
Th H Tens Units Decimal Tenths Hundredths Thousandths
57 8 0 0 . 0 22
57 8 0 0 . 3
This could be simply explained that the if we make compare the numbers before the decimal they are same but after the decimal we can analyze
3/10 and 22/100
Converting them into decimals we get
0.3 and 0.22
therefore 0.3 is greater than 0.22
so Choice a is only correct .
a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths
Answer: The person above me is correct
explanation:
I said that because i don't want no one saying that i copied them
For which of the following compound inequalities is there no solution?
Select one:
a. 5m>15 and -6m =12 and m-6 =22
d. 3m+12>33 and -4m>=32
Answer:
I THINK A
Step-by-step explanation:
Given that QM = 15 units, SM = 10 units, and RM = 18 units, what is the length of segment PM?
R
18
M
10
15
Q
OA 13 units
OB.
7 units
Ос.
8 units
OD
12 units
The length of segment PM would be 12 units
I won't proceed based on your circle's association with any specific segments; instead, I'll use the illustration below.
We can determine QM = 15, SM = 10, and RM = 18 from the image. We apply the formula for determining segment lengths when there are two chords in a circle to determine the length of segment PM.
Our equation QM = (SM)(RM) (PM)
We now enter the information and resolve: (10)(18) = (15)(x) (x)
(10)(18) = 180
(15)(x) = 15x
180 = 15x → 180 ÷ 15 = 12 & 15x ÷ 15 = x
x = 12
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A lottery game offers $4 million to the grand prize winner, $30 to each of 10,000 second prize winners, and $5 to each of 50,000 third prize winners. The cost of the lottery is $2 per ticket. Use the method of Example 9.8.5 to answer the following question. Suppose that 3.5 million tickets are sold. What is the expected value (in dollars) of a ticket?
The expected value of a ticket in the given lottery game is -$0.60, indicating that, on average, a person can expect to lose $0.60 per ticket.
To calculate the expected value of a ticket, we need to multiply the value of each prize by its respective probability and sum them up.
For the grand prize of $4 million, the probability of winning is 1 divided by the total number of tickets sold, which is 1/3.5 million. Therefore, the contribution to the expected value from the grand prize is (1/3.5 million) * $4 million.
For the second prize of $30, there are 10,000 winners out of 3.5 million tickets sold, giving a probability of 10,000/3.5 million. The contribution from the second prize is (10,000/3.5 million) * $30.
Similarly, for the third prize of $5, there are 50,000 winners out of 3.5 million tickets sold, giving a probability of 50,000/3.5 million. The contribution from the third prize is (50,000/3.5 million) * $5.
To calculate the expected value, we sum up the contributions from each prize and subtract the cost of the ticket, which is $2.
The result is the expected value of -$0.60, indicating an average loss of $0.60 per ticket.
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A rectangle has area of 88 square units and a length of 8. Find its
width
Answer:
11
Step-by-step explanation:
We know that in order to work out the area of rectangle we have to apply the formula length × width. In this scenario we are given the area and the length and we are asked to find the width so,
Area of a rectangle = Length × Width
→ Substitute in the values
88 = 8 × Width
→ Divide both sides by 8 to isolate the width
11 = Width
Answer:
11 - width
Step-by-step explanation:
To find the area of a rectangle, this is the formula:
area = length × width
So to find the width you need to rearrange the formula to make:
Width= length / area
8 / 88 = 11
/ = divide
find the exact value of cos-1 (sqrt 3/2)
The exact value of cos^-1( √3/2) = 30°
What is trigonometric ratio?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°
sin30 = 1/2
cos 30 = √3/2
tan 30 = 1/√3
cos 60 = 1/2
sin 60 = √3/2
tan 60 = √3
Therefore, if cos^-1( √3/2) = x
cos x = √3/2
cos 30 = √3/2
cos x = cos 30
therefore x = 30
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The posted rates for cab fare are $4 plus $1 per
mile. How many miles can a passenger travel in the
cab for $15?
O 15 miles
O 8 miles
O 14 miles
O 11 miles
the daily supply of oxygen for a particularmulticellular organism is provided by 625sq ft of lawn. A total of 4,375 sq ft of lawn would provide the daily supplies of oxygen for how many organisms?
7 organisms
Explanation:Area of lawn that supplies oxygen for a particular multicellular organism = 625 sq ft
Total area of the lawn = 4,375 sq ft
Number of organisms = 4375/625
Number of organisms = 7
A total of 4,375 sq ft of lawn would provide the daily supplies of oxygen for 7 organisms
In 2012, gallup asked participants if they had exercised more than 30 minutes a day for three days out of the week. Suppose that random samples of 100 respondents were selected from both vermont and hawaii. From the survey, vermont had 65. 3% who said yes and hawaii had 62. 2% who said yes. What is the value of the sample proportion of people from vermont who exercised for at least 30 minutes a day 3 days a week?.
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653, which is equivalent to 65.3%.
It is important to note that this value is based on a random sample of respondents and may not necessarily represent the true proportion of the entire population of Vermont who exercise regularly.
To find the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week, follow these steps:
1. Convert the given percentage (65.3%) to a decimal by dividing by 100: 65.3 / 100 = 0.653
2. Multiply the decimal by the number of participants in the random sample (100 respondents): 0.653 * 100 = 65.3
3. Round the result to the nearest whole number to find the number of participants who exercised: 65.3 ≈ 65
4. Divide the number of participants who exercised (65) by the total number of participants in the random sample (100): 65 / 100 = 0.65
This means that out of the 100 participants sampled from Vermont, 65.3 of them answered "yes" to the question of whether they had exercised for more than 30 minutes a day for three days out of the week.
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.65 or 65%.
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Draw an illustration using the given information below (you don't need to answer the question itself and assume that the buildings, ladders, etc. are all on the ground)
• A bird sits on top of a 5-meter lamppost. The angle of depression from the bird to the feet of an observer standing away from the lamppost is 35º.
Step-by-step explanation:
here you go also I like your profile picture classroom of elite !
Helppppppppppp plsssss
Answer: No
Step-by-step explanation:
Irrational numbers are numbers that are infinite non-periodic decimal fractions in decimal form.
2.40 is not an irrational number.
the economic policy institute periodically issues reports on worker's wags. the institute reported that mean wags for male college graduates were $37.39 per hour and for female college graduates were $27.83 per hour in 2020. assume the standard deviation for male graduates is $4.60, and for female graduates it is $4.10. (12 points) what is the probability that a sample of 50 male graduates will provide a sample mean within $1.00 of the population mean, $37.97? what is the probability that a sample of 50 female graduates will provide a sample mean within $1.00 of the population mean $27.83? in which of the preceding two cases, part (a) or part (b), do we have a higher probability of obtaining a sample estimate within $1.00 of the population mean? why? what is the probability that a sample of 120 female graduates will provide a sample mean more than $0.60 below the population mean, 27.83?
The probability that a sample of 120 female graduates will = 0.8905
what is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
= |y -µ| ≥ 0.60
z = y -µ /σ√n
= 0.60/4.10√120
= 0.60/0.3742770
=1.60
Pr ( y -µy) ≤ 0.60 = P |z|≤1.60
=P ( -1.60≤ Z≤ -1.60)
=P (Z ≤ 1.60) -P ( Z≤ -1.60)
= 0.9452 - 0.0547 using z table
= 0.8905
Female graduates
mean = 27.83
sd = 4.10
sample = 120
µx = 27.83
σx = σ/√n
= 4.10/√120
a) P (X bar > 27.83)
= P (X bar -µx)/ σx > 27.83-27.83/4.10/√120
= P ( z > -1.60)
= 0.9452
For men
Mean=µ=37.39
Sd=σ=4.60 ,n=50
Probability that sample mean within $1.00 of the population mean
u-1=37.39-1=36.39
u+1=37.39+1=38.39
P = (36.39 <X bar < 38.39)
= P \(\frac{36.39-37.39 }{4.60/\sqrt{60} } < \frac{X bar - µ}{σ/\sqrt{n} } < \frac{39.39-37.39}{4.60/\sqrt{60} }\)
= P ( -1.6839 < Z <1.6839
= P ( -1.68 < Z <1.68)
= P (Z < 1.68) - P(Z < -1.68)
= 0.9535- 0.0465
= 0.9070
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A seagull is 19 feet above sea level. A fish swimming at the opposite distance of the seagull. What integer represents the fish?
Answer:
The integer representing the fish's depth is -19.
Step-by-step explanation:
what is the product of 3 and 57 explain your thinking
Answer:
3*57=171
Step-by-step explanation:
Answer:
171
Step-by-step explanation:
Well, 3 x 50 is 150 and 3 x 7 is 21 and 150 + 21 = 171
4 2/3 divided by 1/2
Answer:
9 1/3
Step-by-step explanation:
1. Make 4 2/3 into a improper fraction
4 2/3= 14/3
2. Keep, change, flip
14/3 x 2/1
3. Multiply
14/3 x 2/1= 28/3
4. Simplify
28/3= 9 1/3
(btw keep, change, flip basically means to keep the first fraction the way it is, change the division sign to a multiplication sign, then flip the second fraction so the original denominator is the new numerator, and vise versa.)
Answer:
28/3
Step-by-step explanation:
4 2/3 ÷ 1/2
14/3 ÷ 1/2
6(14/3 ÷ 1/2)
28 ÷ 3
28/3
evaluate 3+jk+k^3 when j=2 and k=6
Answer:
\(231\)
Step-by-step explanation:
\(3 + jk + k {}^{3} = 3 + 2(6) + 6 {}^{3} = 3 + 12 + 216 = 231 \)
Answer:
231Step-by-step explanation:
\(3+jk+k^3\\\\j = 2\\k=6\\\\3+ 2(6) + 6^3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:6^3\::\quad 216\\=3+2\left(6\right)+216\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\left(6\right)\::\quad 12\\=3+12+216\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:3+12+216\:\\:\quad 231\)
15% of 6 x 10^7?
pls help i am begging
Answer:
if you used the scientific notation then you will get the answer of 9000000
A camp cook estimates that 9 boxes of macaroni and cheese will feed 75 campers. At this rate, how many boxes should be purchased to feed 130 campers?
Well first lets find out how many campers one box will feed
we can find this by doing 75/9
75/9 is 8.3333 (.3333 keeps repeating)
Now that we know that and we know we need to feed 130 campers
we can do 8.3333 /130
This is 15.6
15.6 boxs, you cant buy 0.6 of a box so lets just round up to 16
we can check this math by doing
15.6 * 8.33333333 which we can see equals 130
since we rounded up lets do 16 * 8.33333333
This is 133.3333333 so a little more but again we had no choice since we cant buy 0.6 of a box
the answer is 16
\(\text{Solve for x:}\\\\3x - 5 = 5x + 3\)
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(\boxed{x = -4}\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(\boxed{\text{Solving for 'x'...}}\\\\3x - 5 = 5x + 3\\-----------\\\rightarrow 3x - 5 + 5 = 5x + 3 + 5\\\\\rightarrow 3x = 5x + 8\\\\\rightarrow 3x - 5x = 5x - 5x +8\\\\\rightarrow -2x = 8\\\\\rightarrow \frac{-2x=8}{-2}\\\\\rightarrow \boxed{x = -4}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
a fire started at a campsite located 8 miles from the base of a mountain. if the angle of elevation from the fire to the top of the mountain is 14, how high is the mountain?
After a shift in the aggregate demand curve, which variable adjusts to restore general equilibrium? A.real interest rate B.investment spending C.consumption spending D.price level
In order to restore general equilibrium, price adjustments are undertaken. In the short run, prices increase, and when expectations rise above actual inflation, prices continue to climb until they do. answer is option (d). price level.
What is aggregate demand?The term "aggregate demand" in macroeconomics refers to the overall demand for locally produced commodities, including capital goods, consumer products, and services. Aggregate demand is calculated as the total of spending by consumers, corporate and governmental investment spending, and net imports and exports.
The overall demand of final products and services in an economy at any particular time is known as aggregate demand, often referred to as domestic final demand. Effective demand is a frequent word for it, however occasionally this phrase is used to distinguish between two things. This is the demand for a nation's gross domestic product.
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Which function has a domain of all real numbers?
Answer:
C
Step-by-step explanation:
This is totally wrong lol