Answer:
D
Step-by-step explanation:
What are the two values on a number line that are a distance of 5 from 0?
Answer:
5 and -5Step-by-step explanation:
For a number line the centre of the line is the origin (0, 0). To get the two numbers that are a distance of 5 from 0, we will add 5 to 0 and subtract 5 from 0.
Towards the positive x axis;
The value at a distance of 5 from 0 = 5- 0 = 5
Towards the negative x axis;
The value at a distance of 5 from 0 = -5- 0 = -5
Hence the two values on a number line that are a distance of 5 from 0 are 5 and -5
You're trying to save to buy a new $150,000 Ferrari. You have $35,000 today that can be
invested at your bank. The bank pays 4.0 percent annual interest on its accounts. How
long will it be before you have enough to buy the car?
Multiple Choice
O
37.61 years
36.86 years
Answer:
37.61 years
Step-by-step explanation:
I am assuming this is compound interest
35 multiplied by 1.04 to the power of 36.86 does not generate enough money.
35 multiplied by 1.04 to the power of 37.61 does.
Answer:
37.61 yrs
Step-by-step explanation:
FV = future value = 150 000
PV = present value = 35 000
i = decimal interest = .04
annual interest periods = n
formula FV = PV ( 1 + i)^n plug in the values and solve for 'n'
150 000 = 35000 ( 1 + .04)^n
150000/35000 = (1 + .04)^n take log of both sides
.632 = n log1.04
n = years = 37.105 years
suppose there is a game where you throw a marble and if it lands in a circle on the ground it is counted as a success. suppose that the probability of you throwing a marble and landing in the circle on the ground is 25%. using the normal distribution, approximate the probability of landing in the circle on the ground 10 times or less if you play the game for 30 rounds a. 56%
b. 65%
c. 71%
d. None of these
e. 47%
Using the Normal Distribution , the probability of landing in the circle on ground 10 times or less is 85.32 % , the correct option is (d) None of these .
The term Normal Distribution is defined as a continuous probability distribution where the values lie in a symmetrical fashion mostly situated around mean .
it is given that ,probability(p) of landing marble on ground is 25% = 0.25
game is played for 30 rounds (n) = 30 ; q = 1 - 0.25 = 0.75 .
we know the mean (μ) = n×p = 30 × 0.25 = 7.5 ;
the standard deviation is (σ) = √n×p×q = √30×0.25×0.75
= √5.625 = 2.38
By using Normal Distribution , X follows N(μ,σ²)
that is X follows N(7.5 , 2.38²) ;
we have to find P[X<10] = P[ (x-μ)/σ < (10 - 7.5)/2.38]
= P[ z < 2.5/2.38] = P[ z < 1.05 ] = 0.85314094 = 85.32 %
Therefore , the required probability is 85.32 % .
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If you get in an accident and the medical expenses are $2,000 and your deductible is $300, how much money do you owe?
Answer:
300$
Step-by-step explanation:
angle PKW is 180 degrees if two additional rays were added, call them ray j and ray s respectively. how would you draw the diagram
The angle with 180° is a straight line, and the ray can be drawn in any way.
What is a ray?The definition of ray in maths, that it is a part of a line that has a fixed starting point but no endpoint.
Given that, angle PKW is 180 degrees and two additional rays were added,
The figure has been attached in answer.
We know when an angle measures 180° it makes a straight line and on it, we can draw as many ray as we want and in any way.
Hence, The angle with 180° is a straight line, and the ray can be drawn in any way.
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4.) In a cage are a total of 40 cats and dogs, each one being black or white . Eleven
of these animals are white, and 12 of the dogs are black. If there are 19 cats, how
many cats are white?
40-19=21
21-12=9
11-9=2
2 white cats
DUE SOON! TRIED THIS QUESTION 100 TIMES AND CANT GET THE RIGHT ONE! PLEASE SOMEON EXPLAIN AND HELP OUT DUE SOON!!
Solve the inequality: x+10>2x/5. *
Hello BATAPAAKO!
\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)
Solve the inequality: x+10>2x/5.
\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\(x + 10 \gt \frac { 2 x } { 5 } \\ \)
Firstly, multiply both sides of the equation by 5.
\(5(x + 10) > 2x \\ = 5x + 50 > 2x\)
Since 5 is greater than 0, the direction of the inequality will remain unchanged. Now, subtract 2x from both the sides.
\(5x + 50 > 20 \\ = 5x + 50 - 2x > 0\)
Combine 5x & -2x to get 3x.
\(5x + 50 - 2x > 0 \\ = 5x - 2x + 50 > 0 \\ = 3x + 50 > 0\)
Now, subtract 50 from both the sides. Remember :- anything subtracted by 0 will result in its negation. So 50 subtracted from 0 will give you -50.
\(3x + 50 > 0 \\ = 3x > - 50\)
Divide both sides of the equation by 3. Again, since 3 is > 0, the direction of inequality will remain unchanged.
\(3x > - 50 \\ = \large\boxed{\boxed{ \bf \: x > - \frac{ 50}{3} }}\)
__________________
Hope it'll help you!
ℓucαzz ッ
what is 9 825 rounded to the nearest 5, 10,100 and 1000?
Answer:
9.825 rounded to nearest 5-9.82500
10-9.8
100-9.83
1,000-9.825
Step-by-step explanation:
You can also look up a rounding calculator if you need more help :)
Need help with using the graph to find the numbers
Assignment is about evaluating composition of functions from graphs anything helps
Answer:
f(2) = -3
g(-3) = -5
Step-by-step explanation:
----------------------
2ℓ + 2w for ℓ = 5.7 and w = 6.2.
Answer:
6.2
Step-by-step explanation:
Answer:
The answer to this problem is 6.2
Step-by-step explanation:
The Algebraic expression is a 2ℓ+2w for ℓ= 5.7 and w = 6.2
1. The ratio of faculty members to students at a college is 1:18. If there are 16000 students, how many faculty members are there? Round to the nearest whole number
Therefore, there are approximately 889 faculty members at the college.
What is ratio?Ratio is a mathematical concept that expresses the relationship between two or more quantities or values. It is a way to compare the size of two numbers, by dividing one number by the other. The result of this division is a numerical expression of the relative size of the two numbers.
Ratios are often expressed as a fraction or a colon (:) between the two numbers. For example, if there are 4 red balls and 6 blue balls in a bag, the ratio of red balls to blue balls can be expressed as 4/6 or 4:6. This means that for every 4 red balls in the bag, there are 6 blue balls.
Ratios are commonly used in various fields, such as finance, statistics, and science, to compare different values and make meaningful interpretations.
To solve this problem, we need to use the ratio between faculty members and students, which is given as 1:18. This means that for every one faculty member, there are 18 students.
If there are 16000 students in the college, we can find the number of faculty members by dividing the number of students by the ratio of students to faculty members:
Number of faculty members = 16000 / 18
This gives us 888.888, but since we are asked to round to the nearest whole number, we should round up to 889. Therefore, there are approximately 889 faculty members at the college.
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a toll box has 10 screw drivers and 6 wrenches Bella puts 8 more wrenches in the tool box how many more wrenches are in the toolbox
Is it B, am I right, please answer fast.
Answer: C
Step-by-step explanation:
I’m pretty sure it’s c because x isn’t less than -2. It goes forever in the directions of positive and negative infinity
The graph below shows a proportional relationship between yyy and xxx.
What is the constant of proportionality, \dfrac{y}{x}
x
y
start fraction, y, divided by, x, end fraction ?
Answer:
\(k = 40\)
Step-by-step explanation:
Given
The attached graph
Required
Calculate the constant of proportionality.
Represent the required constant with k.
Such that:
\(k = \dfrac{y}{x}\)
Pick any two corresponding values of x and y
\((x,y) = (1,40)\)
This means that:
\(x = 1\ and\ y = 40\)
\(k = \dfrac{y}{x}\) becomes
\(k = \frac{40}{1}\)
\(k = 40\)
Answer:
3.5
Step-by-step explanation:
Round 342.79513 to the three significant figures
Answer:
343
Step-by-step explanation:
Because the 5 rounds 9 to a 10, making the 7 an 8, hence:
342.8
round the 2 to a 3 because the 8 round it up, making it 343
Please if you know the answer tell me it and the steps also thank you.
Step-by-step explanation: Well to begin, you take 15$ and multiply it by 4, since he wants to buy 4 of those tickets, which is 60$. Then, take the 10$ and multiply it by 2 since he wants 2 of those tickets, which is 20$, you then apply 10% to 60 and 20 by taking 10 percent of 60, then adding it to 60 once have that, which is 66, you take the 3% and find 3% of 66, then add the answer of that to 66, which is 67.98$, you then do the same thing to the 20$.
Sorry if this didnt help, im sure it didnt because im a very bad explainer, but i tried..
Can someone pls explain
163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units
164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.
165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.
166. Missing side = 29 ft.
What is the Pythagorean Theorem?The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.
163. The distance between A(-5, 6) and B(5, -5):
AB = √[(5−(−5))² + (−5−6)²]
AB = √221
AB ≈ 14.9 units
164. Apply the Pythagorean theorem to find the diagonal:
Diagonal = √(15² + 15²) ≈ 21.2 ft.
165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:
c = √676 = 26 units.
166. Missing side = √(20² + 21²) = 29 ft.
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can someone help me with this and also happy thanksgiving if you celebrate it
My ans is C
24 - 6x + 40 = 34
24+40 - 6x = 34
64 - 6x = 34
6x = 64-34
6x = 30
x = 5 ^^
E09 Review
Scores on "The ability to do quantitative thinking" test are normally distributed with a mean of 250 and a standard deviation of
25. Brandi scored at the 81st percentile on this test. What was her test score?
is the test score for Brandi.
Answer:
272 is the test score for Brandi.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 250 and standard deviation of 25:
This means that \(\mu = 250, \sigma = 25\)
Brandi scored at the 81st percentile on this test. What was her test score?
The z-score of her score of X has a p-value of 0.81. This means that her score is given by X when Z = 0.88.
\(Z = \frac{X - \mu}{\sigma}\)
\(0.88 = \frac{X - 250}{25}\)
\(X - 250 = 0.88*25\)
\(X = 272\)
272 is the test score for Brandi.
Complete the following statement.
90% of $20 =
Answer:
$18
Step-by-step explanation:
100% of 20 is 20
use the fact that 2*10 =20 so for every $2 you have anothher 10%
90% of 20 is
100%-10% of 20-2 = $18
Kwan had 16 3/4 inches of wire. He cut of 4 2/4 inches of wire to use in a craft project how much wire does kwan have left
We know that the total is 40 students, and 24 of them are girls, then the fraction that represents it is
\(\frac{24}{40}\)But we must simplify the fraction, let's divide the denominator and numerator by 4
\(\frac{24}{40}=\frac{6}{10}\)Now we can do it again by 2
\(\frac{24}{40}=\frac{6}{10}=\frac{3}{5}\)Therefore the correct answer is the letter B.
\(\frac{3}{5}\)Answer: 12 1/4
Step-by-step explanation: 16 =4 is 12, and 3/4 - 2/4 is 1/4
hope this helps :)
help!!!
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Determine each segment length in right triangle ABC
The segment lengths are given as follows:
BD = 7.BC = \(7\sqrt{2}\)What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.Considering the geometric mean theorem, the triangle has bases of 7 and 14 - 7 = 7, hence the altitude BD is given as follows:
BD² = 7 x 7
BD² = 7²
BD = 7.
The segment BC is the hypotenuse of a right triangle of two sides with length 7, hence:
(BC)² = 7² + 7²
\(BC = \sqrt{2 \times 49}\)
\(BC = 7\sqrt{2}\)
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What is 2x2 + 1000 x 1000
Answer: 2x2 + 1000 x 1000 = 1000004
Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also
Answer:
1000004
Step-by-step explanation:
First we do can separate it into the parentheses: (2*2) + (1000*1000)
= 4 + 1000000
= 1000004
Find the angular size of a circular object with a 1-inch diameter viewed from a distance of 4 yards.
The angular size of the object is Iº.
(Do not round until the final answer. Then round to the nearest hundredth as needed.)
Answer:
0.40°Step-by-step explanation:
4 yards = 4*36 in = 144 inAngle is x
tan(x/2) = 1/2 * 1/144x/2 = arctan (1/288)x /2 = 0.1989428794619145°x = 2*0.1989428794619145°x = 0.39788575892° x = 0.40° (rounded)Keller Construction is considering two new investments. Project E calls for the purchase of earthmoving equipment. Project H represents an investment in a hydraulic lift. Keller wishes to use a net present value profile in comparing the projects. The investment and cash flow patterns are as follows: Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Based on the net present value profile, Project H has a higher NPV than Project E.
To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:
Project E:
Initial investment: -$100,000
Cash flows for Year 1: $40,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $60,000
Project H:
Initial investment: -$120,000
Cash flows for Year 1: $60,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $40,000
To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.
Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:
For Project E:
PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3
PV = $36,363.64 + $41,322.31 + $45,454.55
PV = $123,140.50
For Project H:
PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3
PV = $54,545.45 + $41,322.31 + $30,251.14
PV = $126,118.90
Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.
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Mike rolls two dice,add up the sum,and records his results,below.what is the experiment probability of the sum being EVEN?
a population grows exponential. if it was 3190 initially and after 4 years grew to 3605 what is formula?
The exponential formula that shows population is y = y₀ (1.031)ˣ.
What is an exponential function?An exponential function is a function which can be defined as y = y₀ aˣ, Where 'x' is a variable and 'a' is a constant.
Given that,
The growth of population is exponential.
Also,
The initial population y₀ = 3190.
And after 4 year the population y = 3605.
Use exponential formula
y = y₀ aˣ (1)
Where x = time
Substitute the values in the formula,
3605 = 3190 a⁴
3605/3190 = a⁴
1.13009 = a⁴
a = 1.031
Substitute the value of a in equation (1),
y = y₀ (1.031)ˣ
The required formula is y = y₀ (1.031)ˣ.
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Renting a carWhen renting a car two options listed below are given. You need the car for 3 days. How many miles must you travel in order for option 2 to be the better option? Tell me your variable and what it represents. Then use that variable to set up an equation you can solve to get the answer.Option 1Daily fee $50Cost per mile $0.15Option 2Daily fee $65Unlimited miles
We have two options (OP) when renting a car:
Cost of OP1 (COP1):
COP1 = Dayly fee = $50, Cost per mile = $0.15
Since you need the car for three days, the cost for renting the OP1 will be:
OP1 = 50*3 + 0.15x
COP1 = 150 + 0.15x
where x is the miles
Cost of OP2 (COP2):
COP2 = Dayly fee = $65, Cost per mile = $0.00
For three days, the cost for OP2 will be:
COP2 = 65*3
COP1 = $195
Now we will calculate in which situation OP2 is better (cheaper) than OP1.
That is, COP2
195<150+0.15x
195-150<0.15x
45<0.15x
45/0.15300or
x>300 miles
You have to travel more than 300 miles to option 2 be the best option.
Evaluate this table.
X 5 10 15 25 40
Y 1 2 3 5 8
The table represents a(n)
relationship.
The table of values when evaluated as a function a(n) has the equation a(n) = n/5
How to evaluate the table of valuesGiven the following table of values
X 5 10 15 25 40
Y 1 2 3 5 8
In the above table of values, we can see that
The y value is multiplied by 5 to get the y value
Mathematically, this can be expressed as
x = 5y
Divide both sides of the equation by 5
So, we have
y = x/5
When expressed as a function of n, we have
a(n) = n/5
Hence, the equation of the function is a(n) = n/5
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