Answer:
20
Step-by-step explanation:
f(x) = 30
30 = 1.8x -5.4
35.4 = 1.8x
x = 35.4/1.8
x = 19.666
Write the following phrase as an algebraic expression. Use n for “a number."three increased by the quotient of a number and twoa 3+n / 2b.3+ n/2c. 3(n+ 2)d. 3+2n
The problem states that "three increased by a quotient", this implies that the three is separated from the quotient, therefore, we need to create the equation in the following manner:
\(3\text{ + }\frac{n}{2}\)The correct answer is "b".
Suppose that x is normally distributed with mean 80 and standard deviation 25. What is the probability that x is greater than 77. 5?
The probability that x is greater than 77. 5 is 0.039828
Given,
Mean, μ = 80
Standard deviation, σ = 25
We have to find z score corresponding to 77.5
z = (x-μ) / σ
\(=\frac{77.5-80}{25} \\= 0.1\)
Now we have to find P value from Z table:
P(x<77.5) = 0.46017
P(x>77.5) = 1 - P(x<77.5) = 0.53983
P(77.5<x<80) = 0.5 - P(x<77.5) = 0.039828
The probability of x greater than 77.5 is 0.039828
Learn more about Probability from here: https://brainly.com/question/16177246
#SPJ4
Help for 30 points please...I got 4 mins left
Find the midpoint of the line segment joining points P= (-2, 1) and Q= (4, -7).
Answer:
\(y = \frac{1 - 7}{2} = - 3 \\ x = \frac{ - 2 + 4}{2} = 1\)
Answer:
i got (1, -3) from using the midpoint formula witch is
Step-by-step explanation:
X1 + X2 , Y1 + Y2
2 2
-2 + 4 , 1 + -7
2 2
( 1, -3)
what are the coordinates of the image of the point (-4, 3) after a rotation of 90 degrees counterclockwise around the origin followed by a translation of 1 unit down and 1 unit left?
The coordinates of the image of the point (-4, 3) after a rotation of 90 degrees counterclockwise around the origin followed by a translation of 1 unit down and 1 unit left are (-4, -5).
To find the coordinates of the image of the point (-4, 3) after a rotation of 90 degrees counterclockwise around the origin followed by a translation of 1 unit down and 1 unit left, we can perform the two transformations one after the other and apply them to the point.
Rotation of 90 degrees counterclockwise around the origin changes the coordinates of a point (x, y) to (-y, x). Therefore, the image of (-4, 3) after the rotation is:
(-3, -4)
After the rotation, the point is translated 1 unit down and 1 unit left. This means that we subtract 1 from the y-coordinate and from the x-coordinate. Therefore, the final image of the point is:
(-3 - 1, -4 - 1) = (-4, -5)
To learn more about translation click on,
https://brainly.com/question/3871974
#SPJ4
For the following problems state the null and alternative hypothesis and your conclusions. It is okay to use formulas or words for your null and alternative hypothesis. Your conclusions should be specific to the problem.
1. Coke wants their cans to have an average weight of 12 ounces. They are concerned about any deviation from this standard. A quality control specialist collects 100 random samples and with a sample average weight of 12.1 ounces with a p-value of .03.
2. A frozen dinner company wants their frozen mac and cheese to have an average of 300 calories. They have anecdotal evidence that the dinners have more than 300 calories and are concerned about this. A random sample of 75 dinners is taken with a sample average of 305 calories with a p-value of .1.
3. A Target store will only stock the board game Clue if they can sell on average 20 Clue games a week. They are concerned if the average number of games sold gets below 20. In data from the last 8 weeks they have a sample average (for the last 8 weeks) of 18 games getting sold a week with a p-value of .01.
Null hypothesis (H0): The average weight of Coke cans is 12 ounces. Alternative hypothesis (Ha): The average weight of Coke cans is different from 12 ounces.
Based on the sample data, with a p-value of 0.03, we reject the null hypothesis and conclude that there is evidence of a deviation from the standard weight of 12 ounces. The average calories of frozen mac and cheese are 300. Alternative hypothesis (Ha): The average calories of frozen mac and cheese is different from 300. Based on the sample data, with a p-value of 0.1, we fail to reject the null hypothesis and do not have sufficient evidence to conclude that the dinners have more than 300 calories.
The average number of Clue games sold per week is 20. Alternative hypothesis (Ha): The average number of Clue games sold per week is less than 20. Based on the sample data, with a p-value of 0.01, we reject the null hypothesis and conclude that there is evidence that the average number of games sold is below 20.
In hypothesis testing, the null hypothesis (H0) represents the assumption or claim to be tested, while the alternative hypothesis (Ha) represents the opposite or alternative to the null hypothesis. The p-value is a measure of the evidence against the null hypothesis. In the first scenario, Coke wants to ensure that the average weight of its cans is 12 ounces. The sample data shows a sample average weight of 12.1 ounces with a p-value of 0.03. Since the p-value is less than the typical significance level of 0.05, we reject the null hypothesis and conclude that there is evidence of a deviation from the desired standard weight.
In the second scenario, the frozen dinner company wants to determine if their mac and cheese meals have more than 300 calories. The sample data shows a sample average of 305 calories with a p-value of 0.1. Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that the dinners have more than 300 calories. In the third scenario, the Target store wants to assess if the average number of Clue games sold per week falls below 20. The sample data shows a sample average of 18 games sold per week with a p-value of 0.01. Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is evidence that the average number of games sold is below 20.
Overall, in hypothesis testing, the conclusions are based on the p-value and the significance level chosen. Rejecting the null hypothesis suggests evidence against the initial assumption while failing to reject the null hypothesis indicates insufficient evidence to support the alternative hypothesis.
Learn more about p-value here:- brainly.com/question/30461126
#SPJ11
A tortoise moves
at about 0.05
meters per
second. How
many
centimeters per
second does a
tortoise move?
Answer:
0.05 metrs = 5 cetimeters
Step-by-step explanation:
1 meter = 100 centimeters
0.05 meters = 0.05 * 100 = 5 centimeters
7). Tim has 9 chocolate chip cookies and 18 peanut butter cookies. He
wants to set them out in identical groups for his friends with none left
over. What is the greatest number of groups he can make?
Answer:
2 groups
Step-by-step explanation:
18 ÷ 9 = 2 groupsI hope this helps!
09. Use Picard method to find y(1.1) correct to 4 decimal places, given that y' = -y?, y(1) = 1
The approximation for y(1.1) correct to 4 decimal places is approximately 0.5488.
To solve the initial value problem y' = -y, y(1) = 1 using the Picard method, we can start by setting up an iterative process to approximate the solution.
Let's denote the approximations as y0, y1, y2, ..., yn. The general formula for the Picard method is given by:
yn+1 = y0 + ∫(from x0 to xn) f(t, yn) dt,
where f(x, y) is the right-hand side of the differential equation.
In this case, f(x, y) = -y. So the iterative formula becomes:
yn+1 = y0 + ∫(from x0 to xn) (-yn) dt.
We can choose an initial approximation y0 = 1. Now, we need to compute the integral from x0 to xn.
Let's use the Picard method to approximate y(1.1):
n = 10 (number of iterations)
y0 = 1
h = (1.1 - 1)/n = 0.1/10 = 0.01
For i = 0 to n-1:
xi = 1 + i * h
yi+1 = y0 + ∫(from x0 to xi) (-yi) dt
Finally, we compute y(1.1) using the last approximation yn.
Let's calculate the solution using the given steps and values:
y0 = 1
For i = 0 to 9:
xi = 1 + i * 0.01
yi+1 = y0 + ∫(from 1 to xi) (-yi) dt
After performing the calculations, the approximation for y(1.1) correct to 4 decimal places is approximately 0.5488.
learn more about decimal places here
https://brainly.com/question/20563248
#SPJ11
the test statistic of z is obtained when testing the claim that p. a. identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. find the p-value. c. using a significance level of , should we reject or should we fail to reject ?
a. The hypothesis test is right-tailed.
b. The P-value is 0.2525.
c. Using a significance level of a = 0.01, we fail to reject the null hypothesis .
a) The hypothesis test is right-tailed because the alternative hypothesis is p > 0.4.
b) To find the P-value, we need to use a standard normal distribution table or a calculator. Since the test statistic is positive, we look for the area to the right of z = 0.67. Using a standard normal distribution table or a calculator, we find that the area to the right of z = 0.67 is 0.2525. This is the P-value.
c) Using a significance level of a = 0.01, we compare the P-value to the significance level. The P-value is greater than the significance level, so we fail to reject the null hypothesis . There is not enough evidence to support the claim that p > 0.4 at the 1% significance level.
Learn more about hypothesis test here
brainly.com/question/29343959
#SPJ4
The given question is incomplete, the complete question is :
The test statistic of z = 0.67 is obtained when testing the claim that p>0.4. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.01, should we reject null hypothesis or should we fail to reject null hypothesis?
4x+y=2 3y+2x=-1
Solve using substitution
x+2y=4x+2y=4 hope this helps
Solve this question..
Answer:
A. 11 5/11Step-by-step explanation:
6/11×(1 1/2 + 1/3) + 2 1/11×5 = 6/11×(3/2 + 1/3) + 23/11×5 =6/11×(9/6 + 2/6) + 115/11 = 6/11×11/6 + 115/11 =1 + 10 5/11 =11 5/11Correct option is A
6) The population of rats doubles every 8 months. If there were 23 rats to start how many
would there be after 32 months?
Answer:
736
Step-by-step explanation:
Answer:
368 rats
Step-by-step explanation:
First, you find how many times the population doubles. 32/8 = 4, so the population doubles 4 times.
So, the number of rats = 23 * (2^4) = 368
Or, instead of using exponents, you can double the population four times separately.
23 * 2 = 46
46 * 2 = 92
92 * 2 = 184
184 * 2 = 368 rats
P.S. Please give me brainliest, I need it to rank up.
Find the length of the segment indicated below
The length of line segment AB in the triangle using the midsegment theorem is 64.
What is the length of line segment AB?
The Midsegment Theorem states that "the segment joining the midpoints of two sides of a triangle is parallel to and half the length of the third side."
From the diagram:
Midsegment = 3x + 5
Third side = 7x + 1
First, we solve for x, using the midsegment theorem:
( 3x + 5 ) = 1/2 × ( 7x + 1 )
Multiply both sides by 2:
2( 3x + 5 ) = ( 7x + 1 )
6x + 10 = 7x + 1
Collect and add like terms:
7x - 6x = 10 - 1
x = 10 - 1
x = 9
Now, we solve for line AB:
Line AB = 7x + 1
Plug in x = 9
Line AB = 7(9) + 1
Line AB = 63 + 1
Line AB = 64
Therefore, the line segment AB is 64.
Learn more about Midsegment Theorem here: brainly.com/question/30066983
#SPJ1
A binomial tree with one-month time steps is used to value an index option. The interest rate is 3% per annum and the dividend yield is 1% per annum. The volatility of the index is 16%. What is the probability of an up movement
A binomial tree with one-month time steps is used to value an index option. The interest rate is 3% per annum and the dividend yield is 1% per annum. The volatility of the index is 16%. The probability of an up movement is approximately 0.4704, which corresponds to answer choice A.
The probability of an up movement in a binomial tree is given by the formula:
\(p = (e^{r - q} * u - d) / (u - d)\)
where r is the interest rate, q is the dividend yield, u and d are the up and down factors, respectively.
In this case, r = 0.03/12 = 0.0025 (monthly interest rate),
q = 0.01/12 = 0.000833 (monthly dividend yield), \(u = e^{\sigma * \sqrt{1/12}} = e^{0.16 * \sqrt{1/12}}\) ≈ 1.0403, and
d = 1/u ≈ 0.9614.
Substituting these values into the formula, we get:
\(p = (e^{0.0025 - 0.000833} * 1.0403 - 0.9614) / (1.0403 - 0.9614)\) ≈ 0.4704
Hence, the correct option is A) 0.4704.
The complete question is:
A binomial tree with one-month time steps is used to value an index option. The interest rate is 3% per annum and the dividend yield is 1% per annum. The volatility of the index is 16%. What is the probability of an up movement?
0.4704
0.5065
0.5592
0.5833
For more about probability:
https://brainly.com/question/11234923
#SPJ4
HELP
According to the Rational Root Theorem, Negative 2/5 is a potential rational root of which function?
f(x) = 4x4 – 7x2 + x + 25
f(x) = 9x4 – 7x2 + x + 10
f(x) = 10x4 – 7x2 + x + 9
f(x) = 25x4 – 7x2 + x + 4
Answer: Answer is f(x) = 25x4 - 7x2 + x + 4
Step-by-step explanation:
Answer:
d on edg
Step-by-step explanation:
Shannon burns 46 calories each hour while sleeping. When she plays basketball, she burns 11 times as many calories as she does when sleeping. She burns twice as many calories each hour when she runs than when she plays basketball. How many calories does Shannon burn when she runs for 1 hour? Enter the correct number in the box.
Answer: 1012 calories
Step-by-step explanation:
Shannon burns 46 calories each hour while sleeping.
When she plays basketball, she burns 11 times as many calories as she does when sleeping. The amount of calories burnt when she plays basketball will be:
= 11 × 46
= 506 calories
She burns twice as many calories each hour when she runs than when she plays basketball. The amount of calories burnt when she runs will be:
= 2 × 506 calories
= 1012 calories
The amount of calories that Shannon burn when she runs for 1 hour will be 1012 calories
A car travels according to the table of value shown.what equation can be used to predict the distance (d) the car travels in the number of hours (h)
Answer:
Vajsjke
Step-by-step explanation:
ggzodxkdfdjhs
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPP ME I DO ANYTHING JUST HELP ME
SHOW YOUR WORK
-2.75÷ -5 1/4
Answer:
The answer is 11/12. Please give brainliest.
Step-by-step explanation:
-2.75 converts to -2 3/4
-2 3/4 divided by -5 1/4
-11/4 divided by -21/4
-44/-84
11/12
Answer:
-13,4375
Step-by-step explanation:
Maurice has completed 48 pages of the research paper he is writing. That is 80% of the required length of the paper. What is the required length of the paper? The required length of the paper is pages.
Answer:
We can use the proportion:
48 pages / x = 80% / 100%
where x is the required length of the paper in pages.
First, we can simplify the right-hand side of the equation:
80% / 100% = 0.8
Next, we can solve for x by cross-multiplying:
48 pages / 0.8 = x
x = 60 pages
Therefore, the required length of the paper is 60 pages
12. Determine the missing angle measures.
M<1
M<3
Answer:
3 is 15 degrees and 1 is 67 degrees
Rocky Mountain Tire Center sells 10,000 go-cart tires per year. The ordering cost for each order is $35, and the holding cost is 40% of the purchase price of the tires per year. The purchase price is $25 per tire if fewer than 200 tires are ordered,$17 per tire if 200 or more, but fewer than 8,000, tires are ordered, and $13 per tire if 8,000 or more tires are ordered.
a) How many tires should Rocky Mountain order each time it places an order?
b) What is the total cost of this policy?
a) Rocky Mountain should order 200 tires each time it places an order.
b) The total cost of this policy is $17,160.
a) To determine how many tires Rocky Mountain should order each time, we need to consider the different price levels and find the point where it is most cost-effective to order. Let's analyze the three price levels:
If fewer than 200 tires are ordered: The purchase price is $25 per tire.
If 200 or more, but fewer than 8,000 tires are ordered: The purchase price is $17 per tire.
If 8,000 or more tires are ordered: The purchase price is $13 per tire.
Since the ordering cost is $35 per order, it is most cost-effective to order the maximum quantity that falls within the second price level, which is 200 tires.
b) To calculate the total cost of this policy, we need to consider the ordering cost and the holding cost. The holding cost is 40% of the purchase price per tire per year. Let's calculate the total cost:
Total holding cost = (Purchase price per tire * Quantity ordered * Holding cost rate) / 2 = (($17 * 10,000 * 0.4) / 2) + (($13 * 2,000 * 0.4) / 2) = $34,000 + $5,200 = $39,200
Total cost = Total ordering cost + Total holding cost = (Ordering cost per order * Number of orders) + Total holding cost = ($35 * (10,000 / 200)) + $39,200 = $1,750 + $39,200 = $40,950
Therefore, the total cost of this policy is $40,950.
Rocky Mountain Tire Center should order 200 tires each time it places an order, resulting in a total cost of $40,950 for this policy. This ordering quantity and cost analysis allows Rocky Mountain to make efficient and cost-effective decisions in managing their inventory.
To know more about time, visit
https://brainly.com/question/27792043
#SPJ11
what is the equation of the blue line
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below
\((\stackrel{x_1}{1}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{9}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{ 4 }{ 2 } \implies 2\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{ 2}(x-\stackrel{x_1}{1}) \\\\\\ y-5=2x-2\implies {\Large \begin{array}{llll} y=2x+3 \end{array}}\)
Zoe and Hannah share tips in the ratio 3:7
last week Zoe received £24
How much did Hannah revive last week ?
Answer:
3/7=€24/? 24*7/3? Therefore Hannah received €56 as tip.
Step-by-step explanation:
I NEED HELP PLEASE ! I NEED SOMEONE TO EXPLAIN IT GOOD!
The expression -3¾ + 1/2 is represented on the number line.
What is a number line?Real numbers are represented by a number line, which is a representation of a graduated straight line, in elementary mathematics.
Every point on a number line is thought to represent a real number, and every real number is thought to represent a point.
Number lines are horizontal lines with uniformly spaced numerical increments.
So, first solves the expressions as follows:
-3¾ + 1/2
-12+3/4 + 1/2
-9/4 + 1/2
-9 + 2/4
-7/4
Now plot -7/4 on the number line as follows:
(Refer to the number line attached below)
Therefore, the expression -3¾ + 1/2 is represented on the number line.
To know more about number line visit:
https://brainly.com/question/16191404
#SPJ1
A lump sum of $1000 is invested at 4.6% compounded continuously. (a) Write the function for the model that gives the future value of the investment in dollars after t years.
The investment would be worth about $1315.94. Similarly, we can find the future value at any other time by plugging in the appropriate value of t.
To find the future value of an investment that is compounded continuously, we can use the formula:
A = Pe^(rt)
Where A is the future value, P is the initial principal, r is the annual interest rate, and t is the time in years.
In this case, we have P = $1000, r = 0.046 (since the interest rate is 4.6%), and t is the number of years. Plugging these values into the formula, we get:
A = 1000*e^(0.046t)
This is the function for the model that gives the future value of the investment in dollars after t years. To find the future value at a specific time, we just need to substitute the value of t into the function and evaluate it. For example, if we wanted to find the value after 5 years, we would plug in t = 5:
A = 1000*e^(0.046*5) = 1000*e^(0.23) ≈ $1315.94
Know more about investment here:
https://brainly.com/question/15353704
#SPJ11
The price received for a bicycle is given by the equation b = 100 – 10x2, where x is the number of bicycles produced, in millions.
It costs the company $60 to make each bicycle.
What is the profit function for the company?
P = –10x2 – 60x + 100
P = –10x3 + 40x
P = – 10x2 + 40
Answer:
B
Step-by-step explanation:
aleksander buys some martenisi bracelets that are worn by bulgarians in march to welcome spring
The equation that can be used to determine the number of bangles (y) made in certain days (y) is y = 6x+3
What is an equation of a line?The equation of a straight line is y=mx+c y = m x + c m is the gradient and c is the height at which the line crosses the -axis, also known as the y -intercept.
Given that, Alexander draws a graph of the number of bangles he made,
We need to write an equation for the same,
The line passes through two points (2, 15) and (3, 21)
We know that, an equation of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by :-
y-y₁ = (y₂-y₁) / (x₂-x₁) (x-x₁)
Here, (2, 15) and (3, 21) are (x₁, y₁) and (x₂, y₂),
y-15 = 21-15 / 3-2 (x-2)
y-15 = 6(x-2)
y-15 = 6x-12
y = 6x+3
Here, x is the number of days and y is the number of bangles made.
Hence, the equation that can be used to determine the number of bangles (y) made in certain days (y) is y = 6x+3
Learn more about equation of a line, click;
https://brainly.com/question/21511618
#SPJ9
The complete question is attached:-
M is a right angle in triangle LMN. The measure of angle Nis 67º and the length of MN is 8.What is the length of the hypotenuse? Round to the nearest tenth.There is no picture provided. Please help me in a timely manner.
We will have the following:
*First: We determine the measure of angle L:
\(L+M+N=180\Rightarrow L+90+67=180\)\(\Rightarrow L=23\)So, the measure of angle L is 23°.
*Second: We will use the measure of MN and the angle of L to determine the length of the hypotenuse:
\(8=h\sin (23)\Rightarrow h=\frac{8}{\sin (23)}\)\(\Rightarrow h=20.47443732\ldots\Rightarrow h\approx20.5\)So, the length of the hypotenus is approximately 20.5 units.
Here is the graph that shows the scenario:
In the diagram below, you are given that ∠AVD = ∠BVE = ∠CVF= 90° and ∠CVD = 22°. If ∠AVB= ∠EVF, how many degrees are in the measure of ∠AVF?
Answer:
m∠AVF = 158°
Step-by-step explanation:
In the diagram attached,
m∠AVD = m∠BVE = m∠CVF = 90°
m∠CVD = 22°
∠AVB = ∠EVF
Since ∠AVD = ∠AVC + ∠CVD
Therefore, 90° = m∠AVC + 22°
m∠AVC = 90° - 22°
= 68°
Similarly, m∠CVF = m∠CVD + m∠DVF
90° = 22° + m∠DVF
m∠DVF = 68°
m∠AVC = m∠DVF = 68°
Now ∠AVF = ∠AVD + ∠DVF
= 90° + 68°
= 158°