Answer:
4-$55.00
6-$65.00
8-$65.00
Step-by-step explanation:
Please help
Solve this system of inequality by graphing.
Answer: Thats what the graph would look like hope this helps :)
Step-by-step explanation:
Answer:
see graph.
\(\leq\) and \(\geq\) are solid lines
< and > are dotted lines
graph inequalities same as regular equations
< shade below
> shade above
a variable measured with discrete data means that the data identify participants as belonging to
A variable measured with discrete data means that the data identify participants as belonging to one of a finite number of categories or groups. Discrete data can only take on certain values and cannot be subdivided any further. For example, the number of siblings a person has is a discrete variable as it can only take on whole numbers (0, 1, 2, 3, etc.).
In contrast, continuous data can take on any value within a range. For example, a person's height is a continuous variable as it can be measured with decimals (5'7.5", 6'2", etc.).
It is important to distinguish between discrete and continuous variables as they require different methods of analysis and interpretation. Understanding the nature of the data is crucial in ensuring accurate and meaningful results in research studies.
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give your answer to the nearest interger
please help me
Answer:
33 mm
Step-by-step explanation:
Given a triangle with sides 48 mm and 55 mm, and angles x and w such that cos(x) = 4/5 and cos(w) = 1/2, you want the length of the third side (r) opposite angle x.
Law of cosinesFor sides a, b, c and angle C opposite side c, the Law of Cosines gives the relation ...
c² = a² +b² -2ab·cos(C)
ApplicationFilling in the given values, we have ...
r² = 48² +55² -2·48·55·(4/5) = 1105
r = √1105 ≈ 33 . . . . millimeters
The length r is about 33 mm.
__
Additional comment
Side r is irrational, so the triangle cannot have exactly the measures shown. Using other measures as true, the value of cos(w) is about 0.4994, not 1/2.
Taking cos(w) as true, side r is found using the law of cosines as 33.43717. Taking cos(x) as true, side r is found using the law of cosines as 32.24154. Taking the angle measures and 48 mm to be true, side r is found using the law of sines as 33.25538. All round to 33 mm.
The attachment shows the solution using cos(w)=1/2, or w=60°.
Mei Mei has a part-time job at an ice skating rink selling hot cocoa. She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit. Based on the line of best fit, how many hot cocoas would you predict Mei Mei to sell if the day’s high temperature were 42 ∘ ∘ F? 2 4 6 8 10 12 14 16 18 20 22 24 70 73 76 79 82 85 88 91 94 97 100 103
The number of hot cocoas that Mei Mei would be predicted to sell if the day’s high temperature was of 42 ºF is given as follows:
58.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
For which the parameters are given as follows:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.The function touches the y-axis at y = 100, meaning that the intercept b is defined as follows:
b = 100.
When x increases to six, y decays to 94, hence the slope m is obtained as follows:
m = (94 - 100)/(6 - 0)
m = -1.
Hence the function that predicts the amount of hot cocoa sold for a high temperature of x ºF is given as follows:
y = -x + 100.
The estimate if the high temperature was of 42 ºF is given as follows:
y = -42 + 100
y = 58.
Missing InformationThe graph of the linear function is given by the image presented at the end of the answer.
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Can someone please help me ASAP? It’s due tomorrow. I will give brainliest if it’s correct.
The probability values when calculated are
P(2 numbers greater than 3) = 0.1P(2 even numbers) = 0.4P(2 cards with same numbers) = 0P(1 card is 3) = 0.3Evaluating the probability valuesFrom the question, we have the following parameters that can be used in our computation:
Cards = {1, 2, 3, 4, 5}
Selecting two cards without replacement
So, we have
P(2 numbers greater than 3) = 2/5 * 1/4
P(2 numbers greater than 3) = 0.1
P(2 even numbers) = 2/5 * 4/4
P(2 even numbers) = 0.4
P(2 cards with same numbers) = 1/5 * 0/4
P(2 cards with same numbers) = 0
P(1 card is 3) = 2 * 1/5 * 3/4
P(1 card is 3) = 0.3
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Question 1 (1 point)
Find the volume of the figure below. Round your answer to the nearest hundredth if necessary.
8 yd
7yd
11 yd
11 yd
7 yd
616 yd
Oь
481 yd
688 yd
Od
828 yd
Answer:
616 yd³
Step-by-step explanation:
Volume = base × height
The volume of the prism
= (7×8) ×11
= 616 yd³
If k denotes the number of possible outcomes for a trial, then the difference between a binomial and multinomial experiment is?
The main difference between a binomial and multinomial experiment lies in the number of possible outcomes for each trial.
In a binomial experiment, there are two possible outcomes (success or failure), denoted by k = 2. On the other hand, a multinomial experiment involves multiple possible outcomes, with k representing the number of distinct outcomes.
In a binomial experiment, each trial has two possible outcomes, typically labeled as success (S) and failure (F). The number of successful outcomes is of interest, and the probability of success remains constant for each trial. The binomial distribution is characterized by parameters such as the number of trials, the probability of success, and the number of successful outcomes.
In contrast, a multinomial experiment involves multiple possible outcomes, with each outcome occurring with a certain probability. The number of possible outcomes is denoted by k, and each outcome can be categorized or labeled differently. The multinomial distribution considers the probabilities associated with each outcome and their respective frequencies.
In summary, the difference between a binomial and multinomial experiment lies in the number of possible outcomes for each trial. A binomial experiment has two outcomes (success or failure), while a multinomial experiment involves multiple distinct outcomes, with the number of possible outcomes denoted by k.
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Who is at the trail start at 9:00 a.m.?
Answer:
please add a picture or the rest pf the question and i might be able to help thank you :)
Step-by-step explanation:
37. Use Structure Two balls are tossed up into the air. The function f(x) = -4.9x2 + 14.7x+0.975 models the path of Ball A. The path of Ball B over time is shown in the table. Which ball reaches a greater height? How much greater? Explain how you can answer without graphing either function.
Ball A reaches a greater height than Ball B.
To determine which ball reaches a greater height, we need to compare the maximum height each ball reaches.
For Ball A, we can use the formula for the vertex of a parabola, which is given by \(x = - \frac{b}{2a} \), where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0). In this case, a = -4.9 and b = 14.7, so the vertex of Ball A's path is at \(x = \frac{ - 14.7}{2 \times 4.9} = 1.5 \) seconds.
To find the maximum height of Ball A, we can plug this value into the original equation:
\(f(1.5) = -4.9 \times {1.5}^{2} + 14.7(1.5) + 0.975 = 9.9 \: \: meters.\)
For Ball B, we can look at the table and see that it reaches a maximum height of 8 meters.
Therefore, Ball A reaches a greater height than Ball B by 1.9 meters (9.9 - 8 = 1.9)
We can answer this question without graphing either function by using the properties of quadratic functions. The maximum height of a quadratic function occurs at the vertex, which can be found using the formula x = -b/2a. We can then plug this value into the function to find the maximum height. By comparing the maximum heights of the two balls, we can determine which ball reaches a greater height.
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weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. find the probability that a worker selected at random makes between $350 and $400.
Answer:
0.34134
Step-by-step explanation:
In other to solve for this question, we would be using the z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
We are told in the question to find the probability that a worker selected at random makes between $350 and $400
let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
From tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =
0.34134
Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134
Answer:
34%
Step-by-step explanation:
Acellus sux
The Wagner Corporation has a $22 million bond obligation outstanding, which it is considering refunding. Though the bonds were initially issued at 12 percent, the interest rates on similar issues have declined to 10 percent. The bonds were originally issued for 20 years and have 16 years remaining. The new issue would be for 16 years. There is a 7 percent call premium on the old issue. The underwriting cost on the new $22 million issue is $680,000, and the underwriting cost on the old issue was $530,000. The company is in a 40 percent tax bracket, and it will allow an overlap period of one month ( 1/12 of the year). Treasury bills currently yield 5 percent. (Do not round intermediate calculations. Enter the answers in whole dollars, not in millions. Round the final answers to nearest whole dollar.) a. Calculate the present value of total outflows. Total outflows b. Calculate the present value of total inflows. Total inflows $ c. Calculate the net present value. Net present value $ d. Should the old issue be refunded with new debt? Yes No
The answer are: a. Total outflows: $2,007,901, b. Total inflows: $827,080, c. Net present value: $824,179, d. Should the old issue be refunded with new debt? Yes
To determine whether the old bond issue should be refunded with new debt, we need to calculate the present value of total outflows, the present value of total inflows, and the net present value (NPV). Let's calculate each of these values step by step: Calculate the present value of total outflows. The total outflows consist of the call premium, underwriting cost on the old issue, and underwriting cost on the new issue. Since these costs are one-time payments, we can calculate their present value using the formula: PV = Cash Flow / (1 + r)^t, where PV is the present value, Cash Flow is the cash payment, r is the discount rate, and t is the time period.
Call premium on the old issue: PV_call = (7% of $22 million) / (1 + 0.1)^16, Underwriting cost on the old issue: PV_underwriting_old = $530,000 / (1 + 0.1)^16, Underwriting cost on the new issue: PV_underwriting_new = $680,000 / (1 + 0.1)^16. Total present value of outflows: PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. Calculate the present value of total inflows. The total inflows consist of the interest savings and the tax savings resulting from the interest expense deduction. Since these cash flows occur annually, we can calculate their present value using the formula: PV = CF * [1 - (1 + r)^(-t)] / r, where CF is the cash flow, r is the discount rate, and t is the time period.
Interest savings: CF_interest = (12% - 10%) * $22 million, Tax savings: CF_tax = (40% * interest expense * tax rate) * [1 - (1 + r)^(-t)] / r. Total present value of inflows: PV_inflows = CF_interest + CF_tax. Calculate the net present value (NPV). NPV = PV_inflows - PV_outflows Determine whether the old issue should be refunded with new debt. If NPV is positive, it indicates that the present value of inflows exceeds the present value of outflows, meaning the company would benefit from refunding the old issue with new debt. If NPV is negative, it suggests that the company should not proceed with the refunding.
Now let's calculate these values: PV_call = (0.07 * $22,000,000) / (1 + 0.1)^16, PV_underwriting_old = $530,000 / (1 + 0.1)^16, PV_underwriting_new = $680,000 / (1 + 0.1)^16, PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. CF_interest = (0.12 - 0.1) * $22,000,000, CF_tax = (0.4 * interest expense * 0.4) * [1 - (1 + 0.1)^(-16)] / 0.1, PV_inflows = CF_interest + CF_tax. NPV = PV_inflows - PV_outflows. If NPV is positive, the old issue should be refunded with new debt. If NPV is negative, it should not.
Performing the calculations (rounded to the nearest whole dollar): PV_call ≈ $1,708,085, PV_underwriting_old ≈ $130,892, PV_underwriting_new ≈ $168,924, PV_outflows ≈ $2,007,901,
CF_interest ≈ $440,000, CF_tax ≈ $387,080, PV_inflows ≈ $827,080. NPV ≈ $824,179. Since NPV is positive ($824,179), the net present value suggests that the old bond issue should be refunded with new debt.
Therefore, the answers are:
a. Total outflows: $2,007,901
b. Total inflows: $827,080
c. Net present value: $824,179
d. Should the old issue be refunded with new debt? Yes
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The mean time required to repair breakdowns of a certain copying machine is 93 minutes. The company which manufactures the machines claims that breakdowns of its newer model are easier to fix. To test this claim, a sample of 18 breakdowns of the new model were observed, resulting in a mean repair time of 86.8 minutes with a standard deviation of 14.6 minutes. Using a significance level of a = 0.10, determine if the new copy machines are faster to repair. State clearly what your null and alternative hypotheses are, show your work, and state your conclusion.
A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.
To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:
Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.
Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.
Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:
t = (sample mean - population mean) / (sample standard deviation / √(sample size))
Given:
Population mean (μ) = 93 minutes
Sample mean (\(\bar x\)) = 86.8 minutes
Sample standard deviation (s) = 14.6 minutes
Sample size (n) = 18
Significance level (α) = 0.10
Calculating the test statistic:
t = (86.8 - 93) / (14.6 / sqrt(18))
t = -6.2 / (14.6 / 4.24264)
t ≈ -2.677
The degrees of freedom for this test is n - 1 = 18 - 1 = 17.
Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.
Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.
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al. Rajeshwari prepared 24 kg sweets to be distributed on Diwali. She packed the sweet in boxes. Each box contained kg. a.How many boxes of sweets were prepared? b. How much sweet was left unpacked with her? c.If she has 15 friends, will she be able to distribute the sweets to all her friends?
Answer:
9
Step-by-step explanation:
she have 24kg she gave 15kg so answer is 9
8. Given P = {vowels) and Q= {consonants), what is PU Q?
(a) PUQ = 0
(b) PU Q = {a, e, i, o, u}
(c) PU Q = {consonants}
(d) PU Q = {The English alphabet}
please answer urgent I'm timed please.....
Answer:
d) PU Q = {The English alphabet}
Step-by-step explanation:
because U means Union of all P and Q
pls help!! 15 points!
A trapezoidal prism undergoes a dilation. The surface area of the pre-image is 35 m2. The surface area of the image is 315 m². The height of the pre-image is 5.8 m. What is the height of the image? Enter your answer as a decimal in the box m
When trapezoidal prism undergoes a dilation, the size of the prism changes
The height of the image is 52.2 meters
How to determine the height of the image?The given parameters are:
A1 = 35 m²
A2 = 315 m²
H1 = 5.8 m
To calculate the height of the image, we make use of the following equivalent ratio
A1 : H1 = A2 : H2
So, we have:
35 : 5.8 = 315 : H
Express as fractions
35/5.8 = 315/H
Make H the subject
H = 315 * 5.8/35
Evaluate the product
H = 52.2
Hence, the height of the image is 52.2 meters
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Answer:
17.4
Step-by-step explanation:
one-third of a number is at least 5 units from 31
Answer:
6
Step-by-step explanation:
5^2+6=31
25+6=31
31=31
proved
One-third of the number is at least 5 units from 31. The number is 78.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that one-third of a number is at least 5 units from 31. The unknown number is x.
( 1 / 3 )x + 5 = 31
x + 15 = 31 x 3
x + 15 = 93
x = 93 - 15
x = 78
Therefore, one-third of the number is at least 5 units from 31. The number is 78.
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What is 3x3x8x
help it’s so hard pls
3x-1=1-3x please show how
Answer:
x=1/3
Step-by-step explanation:
3x-1=1-3x
-3x -3x
-1=1-6x
-1 -1
-2=-6x
-3 -3
1/3=x
Answer:
x=\(\frac{1}{3}\)
Step-by-step explanation:
3x-1=1-3x
Move x to one side
3x-1+3x=1-3x+3x
Combine Like Terms
6x-1=1
Isolate x
6x-1+1=1+1
Combine Like Terms
6x=2
Divide by 6
x=\(\frac{2}{3}\)
Simplify
x=\(\frac{1}{3}\)
Complete each congruency statement, and name the rule used.
If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "CanNot Be Determined" in place of the rule.
△SAT ≅ △____ by ____
A
O
S
T
The triangles SAT and SAO are congruent by the Side-Angle-Side (SAS) congruence theorem.
What is the Side-Angle-Side congruence theorem?The Side-Angle-Side congruence theorem states that if any of the two sides on a triangle are the same, along with the angle between them, then the two triangles are congruent.
For the triangles SAT and SAO in this problem, we have that:
Angles ASO and AST are the sime.Side SA is common to both triangles, hence the same.Sides ST and SO are the same.The common angle are between the common sides, hence the SAS congruence theorem was used to determine the congruence of the two triangles.
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Serena's rabbit weighs 3 1/2 pounds. Jarod's rabbit weighs 3 times as much as Serena's rabbit. How much does Jarod's rabbit weigh?
Bryan bought cupcakes for his sister's birthday party. 15 cupcakes had sprinkles on top. The other 35 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles?
Answer: 30%
Step-by-step explanation:
Given: Cupcakes have sprinkles = 15
Cupcakes didn't have sprinkles = 35
Total cupcakes = 15+35 = 50
The percentage of the cupcakes had sprinkles = \(\dfrac{\text{Cupcakes have sprinkles}}{\text{Total cupcakes}}\times100\)
\(=\dfrac{15}{50}\times100\\\\= 30\%\)
Hence, the percentage of the cupcakes had sprinkles = 30%
it is used to represent the product
HELP ME PLEASE I NEED HELP WITH THIS
Answer:
V = 82,406.16 cm³
Step-by-step explanation:
Volume of a sphere
V = 4πr³/3
V = 4•3.14•27³/3
V = 247,218.48/3
V = 82,406.16 cm³
A person invested \$790$790 in an account growing at a rate allowing the money to double every 13 years. How much money would be in the account after 30 years, to the nearest dollar?
Answer:3911
Step-by-step explanation:
Saw the answer
Answer:
Step-by-step explanation:
3911
a sidewalk is perpendicular to a long wall, and a man walks along it away from the wall at a rate of 5 feet per second.
We can find the distance of the man from the wall as long as we know the time (t) he has been walking. The answer is not completely defined without t.
Given that a sidewalk is perpendicular to a long wall, and a man walks along it away from the wall at a rate of 5 feet per second. We have to include the conclusion of the statement.
Proceeding further, Let's assume the man starts from point A which is closest to the wall.
He walks away from the wall and let's say he stops at a point B on the sidewalk.
Now, consider AB as the shortest distance between the man and the wall.
So, as per the given information, we know that the sidewalk is perpendicular to the long wall.
Hence, AB is perpendicular to the long wall.
Let CB be the wall. In triangle ABC, we have
AC² + CB² = AB² (By Pythagoras theorem)
Now, let's say the man takes t seconds to reach point B.
Distance covered by him = 5t ft.
Therefore, AB = 5t ft (as the man walks along the sidewalk away from the wall at a rate of 5 feet per second).
Now, let's consider the wall (CB).
As per the question, CB is a long wall.
Hence, it goes up to infinity.
Hence, its length can be considered as very large (compared to AB) and we can neglect it.
So, AB² = AC² + CB²,
then AC² = AB² - CB²
= (5t)² - CB²
We can say that the Length of the wall does not affect the man's speed.
As he is walking on the sidewalk and not along the wall, the man's speed is not dependent on the length of the wall.
He can only go as far as the end of the sidewalk.
So, the conclusion is that we can find the distance of the man from the wall as long as we know the time t he has been walking. The answer is not completely defined without t.
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What is the result when the number 31 is increased by 8% round your answer to the nearest 10th
The result when the number 31 is increased by 8% and rounded to the nearest tenth is 33.5.
To find the result when the number 31 is increased by 8%, we can calculate 8% of 31 and add it to 31.
8% of 31 can be found by multiplying 31 by 0.08:
8% of 31 = 31 * 0.08 = 2.48
Now, we add this result to 31:
31 + 2.48 = 33.48
Rounding this answer to the nearest tenth, we get:
33.5
Therefore, the result when the number 31 is increased by 8% and rounded to the nearest tenth is 33.5.
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Describe how the graph of y = 2x is the same and different from the graph of y = 2x-7. Explain or show your reasoning.
Answer:
y=2x is similar to y=2x-7 in such way that they share the same slope of 2/1. y=2x is different from y=2x-7 in such a way that they have different y-intercepts, as y=2x automatically has a y-intercept of 0 (0,0), while y=2x-7 has a y-intercept of -7 (0,-7).
Step-by-step explanation:
y=mx+b
y and x are variables, dependent and independent
m is the slope (coefficient)
b is the y-intercept (constant)
what is the total length of the two ladders 11.4 ft. 5.8ft.
Answer:
17.2ft
Step-by-step explanation:
just add
11.4+5.8=17.2
simplify the complex fraction.
Answer: 2/5
Step-by-step explanation:
14/6 - 15/6 divided -5/12
-1/6 / -5/12
2/5
hope this helps!
write an equation in slope intercept form of the line that passes through (2,8) and (-3,6)
The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.
Given that the line passes through the point (-6,8) and has a slope of -5/3.
We are required to find the equation of the line whose description is given.
Equation is basically the relationship between two or more variables that are expressed in equal to form. It may be linear equation, quadratic equation or cubic equation. Slope intercept form in the equation be y=mx+c.
We have been given slope be -5/3.
y=mx+c--------------1
Put m=-5/3 in equation 1.
y=-5/3x+c------------2
Put (-6,8) in equation 2.
8=-5/3 *(-6)+c
8=-5*(-2)+c
8=10+c
c=-2
Use the value of c in equation 2.
y=-5/3x-2
Hence the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.
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