Answer:
-7/2y
Step-by-step explanation:
cancel out the Z's than youre left with -7/2y :}
Math question, help? (Click on photo to zoom in) Thank you.
Answer:
the third one
Step-by-step explanation:
abc is a right triangle with ab=ac. bisector of <a meets bc at d. prove that bc = 2ad.
Answer:
Let ac=ab=5
With this, bc= 5√2
Step-by-step explanation:
So to find ad, Let ad be x
5√2=(2)(x)
(5√2/2)= x
This proves that bc=2ad
Could someone please help? You do not have to draw a diagram.
The biggest area of a quadrilateral we can fit in a circle of a 20π units is 200 sq units.
What is area of a quadrilateral?A quadrilateral made up of two triangles.Area of the quadrilateral = 2 * area of the traingleIf the diagonal and the length of the perpendiculars from the vertices are given, then the area of the quadrilateral is calculated as: Area of quadrilateral = (½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.GIVEN:
The circumference of the circle is 20π units.The biggest area of a quadrilateral that can fit in a circle is of square.Deduce the radius of the circle.SOLVING:
2πR =20πr = 10 unitsArea of the quadrilateral is
100*2= 200 sq unitshence,The biggest area of a quadrilateral we can fit in a circle of a 20π units is 200 sq units.
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an auditor desired to test credit approval on 10,000 sales invoices processed during the year. the auditor designed a statistical sample that would provide 1% risk of assessing control risk too low (99% confidence) that not more than 7% of the sales invoices lacked approval. the auditor estimated from previous experience that about 2.5% of the sales invoices lacked approval. a sample of 200 invoices was examined and 7 of them were lacking approval. the auditor then determined the achieved upper precision limit to be 8%. the allowance for sampling risk was:
The given scenario presents an auditor who wanted to test credit approval controls on 10,000 sales invoices with a maximum allowable proportion of invoices lacking approval of 7%.
To calculate the allowance for sampling risk, we need to first calculate the sample estimate of the population proportion of invoices lacking approval. We can do this by dividing the number of invoices lacking approval in the sample (7) by the total sample size (200):
Sample proportion = 7/200 = 0.035
Achieved precision limit = Sample proportion + Margin of error
Margin of error = Achieved upper precision limit - Sample proportion = 0.08 - 0.035 = 0.045
Achieved precision limit = 0.035 + 0.045 = 0.08
Allowance for sampling risk = Achieved precision limit - Desired precision limit
The desired precision limit is the maximum allowable proportion of invoices lacking approval, which is 7%:
Desired precision limit = 0.07
Substituting these values into the formula, we get:
Allowance for sampling risk = 0.08 - 0.07 = 0.01
Therefore, the allowance for sampling risk is 0.01, which means that the auditor is willing to accept a 1% risk of assessing control risk too low.
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#
f(x) = x
f(x) = 3
5
6
f(x)=3-x
f(x) = 1
Domain
3
0
x=2
2
f(x) = 2
Function Equation
f(x) = 5-x
f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1, f(x) = 1 is a constant function, f(x) = 2 is a constant function
What is a constant function?A constant function is a mathematical function whose output value is the same for every input value
From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies that for every unit increase in x, the value of y increases by 1.
Also, f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.
In the same way, f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.
The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.
The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.
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Pls help
11% of 57 =
39% of 28 =
8% of 97 =
6% of 24.4 =
77% of 9.2 =
Answer:
1, 6.27, 2, 10.92, 3, 7.76, 4, 1.464, 5, 7.084
Step-by-step explanation:
Answer:
11% of 57= 56.89
39% of 28= 27.61
8% of 97= 96.92
6% of 24.4= 24.34
77% of 9.2= 8.43
Suppose you calculate the z statistic for a particular hypothesis test is 4.16 and the alpha is .001. The z statistic is _____(in, not in) the critical region. Therefore, the researcher______(can, cannot) reject the null hypothesis, and she______(can, cannot) conclude the alternative hypothesis is probably correct.
The z statistic for the hypothesis test is in the critical region. Therefore, the researcher can reject the null hypothesis, and she can conclude that the alternative hypothesis is probably correct.
To determine whether the z statistic is in the critical region, we compare it with the critical z value. The critical z value for a two-tailed test with an alpha of .001 is ±3.29. Since the calculated z statistic of 4.16 is greater than the critical z value, it falls within the critical region.
When the z statistic falls within the critical region, we reject the null hypothesis and accept the alternative hypothesis. In this case, since the researcher can reject the null hypothesis, she can conclude that the alternative hypothesis is probably correct.
Therefore, based on the given z statistic of 4.16 and an alpha of .001, the researcher can reject the null hypothesis and conclude that the alternative hypothesis is probably correct.
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A farmer raises 2:6 grams. Eggs weighing78 grams or more are classificd as extra-large and can bring in profit. a) What proportionof sproduced on this farm would be classified as extra-large? bi In addition to selling eggs to a large distributor, the farmer also has a roadside stand run by his The children randomly select eggs to put in a small carton containing four eggs. What is the probability a carton has at least one egg that would be classified as extra-large ) Eggs are usually packed in cartons with one dozen eggs. What is the probability that a rando selected carton contains exactly five eggs that would be classified as extra-large? d) A customer comes into the roadside stand and needs an extra-large egg for a recipe. What is probability that the farmer's child does not find an extra-large egg until the fourth egg rand selected?
a) To determine the proportion of eggs produced on the farm that would be classified as extra-large, we need to compare the weight of extra-large eggs (78 grams or more) to the total weight of all eggs produced (2:6 grams).
Let's assume the total weight of eggs produced on the farm is W grams. The proportion of extra-large eggs would be the weight of extra-large eggs divided by the total weight of eggs:
Proportion of extra-large eggs = (Weight of extra-large eggs) / (Total weight of eggs)
b) To calculate the probability that a carton has at least one egg classified as extra-large, we need to consider the probability of selecting all small eggs and subtract it from 1. Assuming all eggs have an equal chance of being selected, the probability can be calculated as:
Probability = 1 - (Probability of selecting all small eggs)
c) If a carton contains exactly five eggs that would be classified as extra-large, we need to consider the total number of ways to select five extra-large eggs from the pool of eggs, divided by the total number of ways to select 12 eggs (assuming eggs are packed in one dozen cartons).
Probability = (Number of ways to select five extra-large eggs) / (Total number of ways to select 12 eggs)
d) The probability that the farmer's child does not find an extra-large egg until the fourth random selection can be calculated by considering the probability of selecting small eggs in the first three selections and multiplying it by the probability of selecting a non-extra-large egg on the fourth selection.
Probability = (Probability of selecting a small egg) * (Probability of selecting a small egg) * (Probability of selecting a small egg) * (Probability of selecting a non-extra-large egg)
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Use technology to find the indicated area under the standard Normal curve. Include an appropriately labeled sketch of the Normal curve and shade the appropriate region. a. Find the area in a standard Normal curve to the left of 1.96. b. Find the area in a standard Normal curve to the right of 1.96. Remember that the total area under the curve is 1.
The area to the left of 1.96 for part a and the area to the right of 1.96 for part b. Remember to label the curve, x-axis, and shaded areas appropriately.
To find the indicated areas under the standard Normal curve, you can use technology such as a calculator, spreadsheet software, or an online tool like a z-score calculator.
a. To find the area to the left of 1.96, input the z-score (1.96) into the calculator. The result is approximately 0.975. This means that about 97.5% of the area under the curve is to the left of 1.96.
b. To find the area to the right of 1.96, subtract the area found in part a from the total area under the curve (1). So, 1 - 0.975 = 0.025. This means that about 2.5% of the area under the curve is to the right of 1.96.
In your sketch, draw a standard Normal curve and mark 1.96 on the x-axis. Shade the area to the left of 1.96 for part a and the area to the right of 1.96 for part b. Remember to label the curve, x-axis, and shaded areas appropriately.
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Consider the same function 6x 1
+8x 2
=240 What is the slope of this line when graphing x 1
on the horizontal axis and x 2
on the vertical axis? −4/3 4/3 −3/4 3/4
The slope of the line when graphing x1 on the horizontal axis and x2 on the vertical axis is -3/4.
To determine the slope of the line when graphing x1 on the horizontal axis and x2 on the vertical axis, we need to rearrange the given equation in the slope-intercept form, y = mx + b, where m is the slope.
6x1 + 8x2 = 240
First, let's isolate x2: 8x2 = -6x1 + 240
Dividing both sides by 8: x2 = (-6/8)x1 + 30
Now we have the equation in the form y = mx + b, where x1 is represented as the independent variable on the horizontal axis (x) and x2 as the dependent variable on the vertical axis (y).
Comparing the equation to y = mx + b, we can see that the coefficient of x1, which is -6/8 or -3/4, represents the slope of the line.
Therefore, the slope of the line when graphing x1 on the horizontal axis and x2 on the vertical axis is -3/4.
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Jane needs a new car, but Jane does not have very good credit , so she knows she is going to pay higher interest . She goes to a local , small dealership and finds a reliable car for $4500 . The dealer is very nice and says he will finance her car for only $130 a month for five years . Jane knows she can afford this small payment . How much TOTAL will Jane pay for her car ? Did Jane get a good deal, since she can afford this car payment ?
Answer:
5years ×12months =60
$130month × 60months=$7800
$7800-$4500= $3300 she will be paying more for the car
Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?
Answer:
he played around 20 games
Answer:20
Step-by-step explanation:
N\A
PLS HELP THIS IS DUE SOON
Investment B would have the greatest amount.
What is the greater amount?When we look at the compound interest, we know that the compound interest is compound not only on the principal but also on the interest that accrues to the investment.
We know that in the first case;
A = P(1 + r/n)^nt
A = amount
P = Principal
r = rate
n = Number of times compounded
t = time
Then;
A = 3000(1 + 0.08/2)^2 *7
= $5195
Again;
A = 5000(1 + 0.036/3)^3 * 4
A = $5769
The investment that would give a larger result is investment B.
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determine the range of the function graphed above
Answer: A
Step-by-step explanation:
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.
The possible values of y are [-infinity,4], so the answer is A
In a quiz team "A" scored -40, 10,0 Team "B" scored -20,10,-30 Which team score more and by how much?
Answer:
team A scores more. sorry don't know how to explain it
Evan's mom drops him off at Entertainment Zone for 3 hours and buys him 11 tickets. Evan
can spend his tickets driving go karts or playing mini golf which each cost 1 ticket. Driving the go
kart track takes 10 minutes and a game of mini golf lasts 45 minutes. How many of each activity
can Evan participate in before his mom comes back to pick him up?
Evan can play 2 games of mini golf and 9 games of kart track.
Given that Evan's mom gave him 11 tickets and left in game zone for 3 hours,
He can spend 1 ticket on one game, and he spend 10 minutes in kart track and a game of mini golf lasts 45 minutes.
We need to find how many games he played of both the games,
So, let he played x games of kart track and y games of mini golf,
So,
x + y = 11
x = 11 - y.............(i)
10x + 45y = 180...........(ii) [ ∵ 3 hours = 180 minutes]
Use the equation i in ii,
So,
10(11-y) + 45y = 180
110 - 10y + 45y = 180
35y = 70
y = 2
Put y = 2 in equation 1,
x = 11-2
x = 9
Hence he played 2 games of mini golf and 9 games of kart track.
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What is the maximum value?
Help please
Answer:
The maximum value is the 10's.
Step-by-step explanation:
Look at the chart and see which one has the most.
What is 3.24 (.24 repeating) as a simplified fraction?
As a simplified fraction, we have 107/33
How to determine the fractionNote that fractions are simply described as the part of a whole number or variable.
There are different types of fractions;
Mixed fractionsProper fractionsImproper fractionsSimple fractionsFrom the information given, we get;
3. 24 repeating can be expressed as the sum of 3 and 0. 24
Let x be 3.24
Then, we have;
Multiplying 100 by a certain number results in a repeating decimal of 324. 24
100x = 324.24
After taking the difference between the two equations, we have;
99x = 321.
Make 'x' the subject of formula, we have;
x = 321/99
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A business trip reimbursed $0.55 per mile. Mr. Jackson has a budget of $70 for the round trip. If he is traveling to a town 61 miles, then will he be under or over budget? Prove your thinking.
Answer:
3355
Step-by-step explanation:
55 x 61 = 3355
IS IT VALID OR NOT (explaining would be helpful) you want to determine how many students consider math to be their favorite school subject. you randomly survey 75 students. thirty-three students consider math to be their favorite subject while forty-two does not. so, you conclude that 40% of students at your school consider math to be their favorite subject.
Answer:
I would say not valid
Step-by-step explanation:
well, it would actually be 44% since 33/75= 0.44 to represent the number of ppl hat consider math their favorite subject
If ⅆyⅆt=6e−0. 08(t−5)2, by how much does y change as t changes from t=1 to t=6 ?
(A) 3. 870 (B) 8. 341 (C) 18. 017 (D) 22. 583
Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).
To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.
∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\) dt
We can use the substitution u = t - 5 to simplify the integral:
∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du
Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:
∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870
Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).
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Which of the following describes all the solutions to the inequality?
A rectangular block of copper metal has a mass of 1800 grams. The dimensions of the block
are 8 cm by 5 cm by 4 cm. From this data, what is the density?
There are 4 mathematics books, 5 science books and 3 english books in the library. In how many ways can you arrange these so that the books are arranged in this order: Mathematics, Science, and English, and books of the same subjects are together?
To arrange the books in the specified order (Mathematics, Science, and English), you need to determine the number of arrangements for each subject's books and then multiply them together.
For the 4 mathematics books, there are 4! (4 factorial) ways to arrange them, which is 4 × 3 × 2 × 1 = 24 ways.
For the 5 science books, there are 5! (5 factorial) ways to arrange them, which is 5 × 4 × 3 × 2 × 1 = 120 ways.
For the 3 English books, there are 3! (3 factorial) ways to arrange them, which is 3 × 2 × 1 = 6 ways.
To find the total number of ways to arrange all the books in the required order, multiply the arrangements for each subject together: 24 (Mathematics) × 120 (Science) × 6 (English) = 17,280 ways.
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8. u.s states a state is selcted at random from the 50 states of the united states. what is the probabbilty that it is one of the six mew england states?
10 % is the probabbilty that it is one of the six mew england states.
What is the simple definition of probability?
A probability is a number that expresses the possibility or likelihood that a specific event will take place.
Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Number of states that touch the Pacific Ocean = N(P) = 5
Total Number of States = (Sample Space)= N(s) = 50
Number of Event/Draw = 1
Therefore;
Probability = N(P) /N(s) = 5/50 = 1/10 = 10 %
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when a 6ft tall fence pole casts a 10 ft shadow, a pine tree casts a 45 ft shadow. How tall is the tree?
Answer: The tree is 27 feet tall.
Step-by-step explanation:
Here's what we know:
6/10 = x/45 (a 6 foot object creating a 10 shadow is equivalent to something else making a 45 shadow)
We need to isolate x. Multiply both sides by 45:
6*45/10 = x
We can factor out a 2:
3*45/5 = x
We can also factor out a 5:
3*9/1 = x
27 = x
The tree is 27 feet tall.
The volume of a sphere is 288π cm³, (i) Find the length of the radius of the sphere. (ii) Find, in terms of π, its total surface area,
Answer:
(i) 4.1
(ii) 67.24
Step-by-step explanation:
multiply 288 by 3 which is 864. divide 864 by 4π which is 68.7, cube root 68.7, that gives you 4.09/ 4.1
. 0.9 • 0.001 help me plz c:
Answer:
0.0009
Step-by-step explanation:
Have a wonderful day:)
Answer:
0.0009
Step-by-step explanation:
0.9 x 0.0001
The easy way is just to replace 1 by 9.
A line includes the points (7, 4) and (5, 0). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 2x – 10
Step-by-step explanation:
ΔY divided by ΔX
= 5-7/0-4
= 2/1 = 2 (simplified)
plug in 2 into; 0=2(5)+b
= -10=b
so we have: y=2x-10
A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic function . How long does it take for the baseball to reach its maximum height? What is the baseball?s maximum height?
Answer:
Step-by-step explanation:
Let the initial velocity of the ball is u.
At the maximum height the speed is zero.
Let the time is t.
Use first equation of motion.
v = u - gt
0 = u - g t
t = u/g
Let the maximum height is H.
Use third equation of motion
\(v^2 = u^2 - 2 gh\\\\0 = u^2 - 2 gH\\\\H = \frac{u^2}{2 g}\)