Answer:
Postsecondary teacher jobs = 431 thousandMedical assistant jobs = 258 thousandNurse jobs = 752 thousandStep-by-step explanation:
Given
Postsecondary teacher jobs = tMedical assistant jobs = mNurse jobs = nThe number of postsecondary teacher jobs will grow 173 thou-
sand more than twice the number of medical assistant jobs.
t= m + 173The number of registered nurse jobs will grow 22 thousand
less than three times the number of medical assistant jobs.
n= 3m - 22If the total growth of these three jobs is predicted to be 1441
thousand, find the predicted growth of each job.
t + m + n = 1441Substituting t and n in the last equation and solving for m:
m + 173 + m + 3m - 22 = 14415m + 151 = 14415m = 1441 - 1515m = 1290m = 1290/5m = 258 thousandFinding the rest
t = m + 173 = 258 + 173 = 431 thousandn = 3m - 22 = 3*258 - 22 = 752 thousandWhat’s the answer do u no the answer ?
if f(x) = x squared - 2x, find:
f(6)= ?
Answer:
24
Step-by-step explanation:
To solve for x=6 for this function, replace x in the equation as 6:
\(f(6)=6^2-2(6)\\f(6)=36-12\\f(6)=24\)
If the time now is 4 PM on Saturday, after 253 hours the time will be:
(A) Sun. 5AM
(B)Tues. 5AM
(C) Wed. 1AM
(D) Wed. 5AM
Answer:
C I'm pretty sure
Step-by-step explanation:
Solve the equation by using the Quadratic Formula. Round to the nearest tenth, if necessary. Write your solutions from least to greatest, separated by a comma, if necessary. If there are no real solutions, write no solutions.
x2+4x=−1
The solutions to the quadratic equation x² + 4x = −1 are -3.7, -0.3.
What is the solution to the given quadratic equation?The quadratic formula is expressed as:
x = (-b±√(b² - 4ac)) / (2a)
Given the quadratic equation in the question:
x² + 4x = −1
Rewrite in standard form:
x² + 4x + 1 = 0
Compared to the standard form ax² + bx + c = 0
a = 1
b = 4
c = 1
Plug these into the quadratic formula and solve for x.
x = (-b±√(b² - 4ac)) / (2a)
x = (-4 ±√( 4² - ( 4×1×1)) / (2×1)
x = (-4 ±√( 16 - 4)) / 2
x = (-4 ± 2√3 ) / 2
x = -2 ± √3
Hence:
x = -2 - √3 and x = -2 + √3
x = -3.7 and x = -0.3
Therefore, the solutions are x equal -3.7, -0.3.
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Hayden had 212 gallons of water in his watering can. The seed packet said to use 14 of a gallon for peppers and 58 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 34 gallons of water left over, about how much water did he use for lettuce?
Answer:
Hayden used 106 gallons for his tomatoes.
Step-by-step explanation:
212-14-58= 140 (what we know he used)
140-34= 106 (By subtracting what we will have left over, it tells us how much we would have to use to get there.
7.5583 x 10^4 - 7.2301 x 10^4
Answer:
3282
Step-by-step explanation:
its correct
What is shifted ramp signal?
A shifted ramp signal is a type of analog signal that starts from a specific value and gradually increases in a linear manner until it reaches another value, at which point it remains constant.
The "shifted" part refers to the starting value, which is not necessarily zero but can be any arbitrary value. This type of signal is commonly used in electronics and signal processing applications, such as in voltage-controlled oscillators and analog-to-digital converters. In essence, a shifted ramp signal is a linearly increasing signal that has been shifted up or down to start from a non-zero value.
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Multiplying in any order results in the same product is called
the
Property. *
Distributive
Associative
Commutative
O Additive Inverse
Answer:
C) commutative
Step-by-step explanation:
Example: a x b = b x a
1. Researchers who were interested in the types of movies pre-
ferred by children of different age groups asked students in the
sixth grade and in the eighth grade if they would prefer to see
an animated feature like The Lion King or an action feature like
The Avengers. The results are summarized in the table:
Sixth Grade
Eighth Grade
Animated Action
45 35
40 60
Which proportions represent the conditional distribution of
grade for children who preferred an action feature?
A) 0. 194 and 0. 333
B) 0. 368 and 0. 632
C) 0. 40 and 0. 60
D) 0. 444 and 0. 556
E) 0. 529 and 0. 471
Sixth grade students prefer action movie is 0.194 & Eight grade students prefer action movie is 0.333
Given that the information below:
Sixth grade students prefer animated movie - 45
Eight grade students prefer animated movie - 40
Sixth grade students prefer action movie - 35
Eight grade students prefer action movie - 60
Total sixth grade students - 80
Total eight grade students - 100
Total students prefer animated movie - 85
Total students prefer action movie - 95
Proportion of sixth grade students prefer action movie =
Sixth grade prefer action movie/Total students
= 35/180 = 0.194
Proportion of eight grade students prefer action movie =
Eight grade prefer action movie/Total students
= 60/180 = 0.333
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Simplify 7/8x1/3x2/3=
Therefore, the simplified form of the given expression is 7/36.
What is expression?In mathematics, an expression is a combination of numbers, variables, and operators that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve one or more operations or functions. Expressions are an important concept in mathematics and are used in a wide range of applications, from simple arithmetic calculations to advanced mathematical modeling and analysis.
Here,
To simplify this expression, we can multiply the numerators of the fractions and multiply the denominators of the fractions, and then simplify the resulting fraction:
7/8 x 1/3 x 2/3 = (7 x 1 x 2)/(8 x 3 x 3)
= 14/72
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2:
14/72 = (2 x 7)/(2 x 36)
= 7/36
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How large a sample is needed if we wish to be 98% confident that our sample mean will be within 0.0005 inch of the true mean given that the population has a standard deviation of 0.0015 inch and is approximately normally distributed. (Integer value)
Answer:
49
Step-by-step explanation:
\(MOE =z\frac{s}{\sqrt{n}}\)
\(\displaystyle 0.0005=2.326\biggr(\frac{0.0015}{\sqrt{n}}\biggr)\\\\0.0005\sqrt{n}=2.326(0.0015)\\\\\sqrt{n}=2.326(3)\\\\\sqrt{n}=6.978\\\\n\approx49\)
Therefore, you would need a sample size of 49 to obtain a margin of error of 0.0005
Please help me! And please show work for numbers 18, 19 and 20. Thank you!
scores on an iq test are normally distributed. the test is designed so that the mean is 100 and standard deviation is 15. hat is the cutoff score so that only 5% of the population has a higher score?
The cutoff score so that only 5% of the population has a higher score is 124.7.
If 5% of the population has a higher score, then the probability of selecting these is 0.05.
Find the z-score that corresponds to the probability in the z-table. (see attached images)
probability = 1 - 0.05 = 0.95
z-score = 1.647
Using the formula for the z-score below, determine the cutoff score.
z-score = (x – μ) / σ
where x = individual data value = cutoff score
μ = mean = 100
σ = standard deviation = 15
1.647 = (x - 100) / 15
1.647(15) = x - 100
x = 24.705 + 100
x = 124.705
cutoff score = 125
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Evaluate the expression when x=−4/5 and y=1/3.
2x+6y
Answer:
2
--
5
Step-by-step explanation:
Start by multiplying 2 and -4/5 as fractions
2 -4 -8
------ x ------ = -------
1 5 5
Then multiply 6 and 1/3 as fractions
6 1 6 2
------ x ------ = ------- = -----
1 3 3 1
Lastly,add the two results after converting 2/1 to 10/5 to use the Greatest Common Factor so you can add.
-8 10 2
------- + ------ = -------
5 5 5
Work out an approximate solution to x3 + 2x – 1 = 0
Use the iteration Xn+ 1 =
1
x + 2
Start with Xy = 1
Give your answer to 2 decimal places.
Answer:
x = 0.45 (2 d.p.)
Step-by-step explanation:
Iteration is a numerical method used to approximate solutions to equations where exact solutions are difficult or impossible to obtain analytically.
It involves putting an approximate value of the solution into an iteration formula to calculate a new value based on the previous one. This process is repeated multiple times, with each iteration generating a more accurate approximation of the solution.
The iteration formula is just a rearrangement of the equation, leaving a single ‘x’ on one side.
For this problem, we have already been given the iteration formula and the starting value of x₁. However, sometimes you will need to determine the iteration formula. For example, to determine the iteration formula for x³ + 2x - 1 = 0, rearrange the equation as follows:
\(\begin{aligned}x^3+2x-1&=0\\x^3+2x&=1\\x(x^2+2)&=1\\x&=\dfrac{1}{x^2+2}\end{aligned}\)
Therefore, the iteration formula is:
\(\boxed{x_{n+1}=\dfrac{1}{{x_n}^2+2}}\)
To calculate the approximate solution to x³ + 2x - 1 = 0 using the given iteration formula, start by substituting x₁ = 1 into the formula to find x₂:
\(x_2=\dfrac{1}{x_{1}{^2}+2}=\dfrac{1}{(1)^2+2}=\dfrac{1}{1+2}=\dfrac{1}{3}=0.3333...\)
Substitute the found value of x₂ into the formula to find the value of x₃:
\(x_3=\dfrac{1}{x_{2}{^2}+2}=\dfrac{1}{\left(\frac{1}{3}\right)^2+2}=\dfrac{1}{\frac{1}{9}+2}=\dfrac{1}{\frac{19}{9}}=\dfrac{9}{19}=0.47368...\)
Continue this way until the solutions are the same when rounded to 2 d.p:
\(x_4=0.44956...\)
\(x_5=0.45411...\)
\(x_6=0.45326...\)
\(x_7=0.45342...\)
\(x_8=0.45339...\)
\(x_9=0.45339...\)
Therefore, the approximate solution to x³ + 2x - 1 = 0 is 0.45, rounded to 2 decimal places.
Additional information
The quickest way to compute each solution (each value in the iteration sequence) is to enter the value of x₁ into the calculator and press "=" so that the value of x₁ becomes the "answer". Then type the iteration formula into the calculator, replacing xₙ with "answer":
\(\boxed{\dfrac{1}{\text{Ans}^2+2}}\)
Each time you press "=", the next value of xₙ in the sequence is computed.
find the annual salary of a person who is paid $3,800.00 per month
which of the following
W>x,w>y,x+y=w are the following statements must be true about this diagram.
What is triangle?Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.
Rules to know:
Triangles = 180 degrees
Straight lines = 180 degrees (example z + w = 180)
Therefore: angles of straight line = angles of triangle
A : w is an obtuse angle (greater than 90) and x is acute (less than 90)
E : w is obtuse whereas y is acute.
F : Since triangle = 180 = x + y + z
Straight line = 180 = z + w
Equate the two:
z + w = x + y + z (subtract z from both sides)
w = x + y
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is The product of (a − b)(a − b) is a perfect square trinomial.
the following stem-and-leaf plot shows scores on a statistics final exam. find the number of outliers. 2 00 3 468 4 357 5 01677 6 235 7 6899 8 233569999 9 01268 10 0
In the given stem-and-leaf plot, we can conclude that there are at least 5 outliers
The number of outliers in the given stem-and-leaf plot can be determined by identifying values that are significantly higher or lower than the majority of the data.
To find the number of outliers in the stem-and-leaf plot, we need to analyze the data distribution and identify values that deviate significantly from the rest of the scores.
Looking at the stem-and-leaf plot, we observe that the majority of the scores are concentrated between 20 and 90. The numbers 2, 3, 4, 5, 6, 7, 8, 9, and 10 represent the tens digit of the scores, while the leaves represent the ones digit.
Upon examining the plot, we notice that there are a few values that stand out from the rest. These values are 00, 01677, 6899, 233569999, and 01268. Outliers are typically defined as values that fall outside the "typical" range of the data, and these values appear to deviate significantly from the majority of the scores.
To determine the exact number of outliers, we need to apply specific criteria. One common method is to use the 1.5 × IQR (interquartile range) rule. The IQR is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of the data. Any values below Q1 - 1.5 × IQR or above Q3 + 1.5 × IQR are considered outliers.
In this case, we don't have the exact raw data to calculate the quartiles and IQR. However, based on visual inspection of the stem-and-leaf plot, we can still identify the values mentioned earlier as outliers due to their significant deviation from the majority of the scores.
Therefore, in the given stem-and-leaf plot, we can conclude that there are at least 5 outliers
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Write the digits on the lines to create as many possible numbers as you can that are less than 3. Order the numbers from least to greatest. 7 0 4 2
____. ____ ____ ____
____. ____ ____ ____
____. ____ ____ ____
____. ____ ____ ____
____. ____ ____ ____
Answer:
0.247 <0.427 <0.742 <2.740
Step-by-step explanation:
0.247 <0.427 <0.742 <2.740
There are more than four combinations...
the diagram shows a right-angled triangle ABC and a circle. A, B and C are points on the circle AB is a diameter of the circle AB = 10cm, AC = 6cm, BC = 9cm. Give your answer correct to 3 significant figures.
Step-by-step explanation:
question not complete
do mark Brainliest
a piece of equipment is purchased for $100,000. what are the monthly payments if the nominal annual interest (compounded monthly) is 9.25 nd the loan is for four years? (needs: rate, nper, pv)
the monthly payments for the loan are approximately $2,372.51.
To calculate the monthly payments for the loan, we need to use the following formula:
PMT = (r * PV) / (1 - (1 + r)^(-n))
where PMT is the monthly payment, r is the monthly interest rate, PV is the present value of the loan (in this case, $100,000), and n is the number of monthly payments (in this case, 4 years * 12 months/year = 48 months).
To calculate the monthly interest rate, we need to first calculate the nominal annual interest rate, compounded monthly. We can do this using the following formula:
r_nom = (1 + r_eff)^(1/12) - 1
where r_eff is the effective annual interest rate, which is given as 9.25%. Substituting:
r_nom = (1 + 0.0925)^(1/12) - 1 = 0.007449
So the monthly interest rate is 0.7449%.
Now we can plug in the values to the formula for PMT:
PMT = (0.007449 * 100000) / (1 - (1 + 0.007449)^(-48)) = $2,372.51
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In the xy-plane, line n has a y-intercept
of -13 and is perpendicular to the line with
equation y
2x. If the point (10, c) in on line
n, what is the value of c?
Answer: give me brainliest pls
Step-by-step explanation:
multiply the polynomials below. SHOW ALL WORK
(x−7)(2x−5)
We are used to that our days are divided into 24 hours, our hours are divided into 60 minutes, and our minutes are divided into 60 seconds. If our days were divided into 10 hours (with no need for a.m. and p.m.), the new hours into 100 minutes, and the new minutes into 100 seconds, what new time would it be at 6 p.m. a: 5:00 b: 7:00 c: 9:00 d: 7:50
Answer:
d) 7:50
Step-by-step explanation:
6pm is 18/24
18/24 = 3/4
3/4 of 10 = 7.5
The time represented by a 10-hour day format at 6 pm n the 24-hour day format is 7.5 hours, the correct option is D.
What is a Fraction?Fraction is the part of the whole, It is represented in the form of p/q, where q is not equal to zero.
The days are divided into hours, minutes, and seconds
The 6 pm time represents 18 hours
The total time is 24 hours so
6 pm represents an 18/24 portion of the day
= 3/4 th portion of the day is 6 om.
For a 10 hours day
3/4 th portion is 3*10 /4 = 7.5 hours
Therefore, the time represented by a 10-hour day format at 6 pm n the 24-hour day format is 7.5 hours.
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** correct genuine answer upvote guarranteed
** plagarism = downvote
The Tiny Company manufactures components for word processors. Most of the work is done at the 2000-employee Tiny plant in the midwest. Your task is to estimate the mean and standard deviation of dollar-valued job performance for Assemblers (about 200 employees). You are free to make any assumptions you like about the Tiny assemblers, but be prepared to defend your assumptions. List and describe all of the factors (along with how you would measure each one) you would consider in using standard costing to estimate SDy.
Factors and measurements considered to estimate mean and standard deviation of job performance. Standard costing compares actual performance to a target, estimating variability (SDy).
Estimating the mean and standard deviation of dollar-valued job performance for Assemblers at the Tiny Company involves considering several factors. Individual performance. These factors can be measured using methods such as performance evaluations, experience records, surveys, and quality audits.
Once the factors are determined, standard costing techniques can be applied. This involves setting a standard performance target based on historical data and industry benchmarks.
By comparing actual performance to the standard, the variance can be calculated. The standard deviation (SDy) is then estimated by considering the variances over a given period. SDy reflects the variability from the expected value and provides insights into the dispersion of job performance.
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The Kendal Company manufactures automobile engine parts. Running the manufacturing operations requires 12 watts (units of electricity per hour). The amount of electricity required to run the manufacturing operations and lighting the facility is given by y = 12x + 24, where x is the number of hours of manufacturing and y is the amount of electricity expended. How much electricity is used on a day when no parts are
24 because when you plug in 0 for both x and y:
0=12(0)+24
12*0=0, leaving you with 24.
Find slope from this graphhhhh
Answer:
Ok ill find the slope for this graphhhhh
Step-by-step explanation:
-3/4
can someone help me with this
Answer:
A. y = 3x.
Step-by-step explanation:Relation 2 is a straight line that does not pass through the origin, so it is a partial variation.
The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place
The area of the pool is 600 square units rounded to the tens place.
The area of the symmetrical pool in the water park can be determined by finding the product of its length and width. From the given figure, it appears that the length of the pool is approximately 30 units and the width is approximately 20 units.
To find the area, we multiply the length and width:
Area = length × width
Area = 30 units × 20 units
Area = 600 square units
Rounding to the tens place means we want to round the area to the nearest multiple of 10. In this case, the area of 600 square units would round to 600.
Therefore, the area of the pool rounded to the tens place is 600 square units.
To summarize:
- The length of the pool is approximately 30 units.
- The width of the pool is approximately 20 units.
- The area of the pool is 600 square units rounded to the tens place.
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