Answer: m = [tex]- \frac{6}{7}[/tex]
An investment of $8500 increases in value by 4.5% every year. How long until the investment reaches about $17323.
Answer:
It would take 16 years and 64 days until the investment reaches about $ 17323
Step-by-step explanation:
Given that an investment of $ 8500 increases in value by 4.5% every year, to determine how long it would take until the investment reaches about $ 17323, the following calculation must be performed:
8,500 x (1 + 0.045 / 1) ^ X = 17,323
8,500 x 1,045 ^ X = 17,323
1,045 ^ X = 17,323 / 8,500
1.045 ^ X = 2.038
1,045 ^ 16,175 = 2,038
X = 16.175
1 = 365
0.175 = X
0.175 x 365 = X
63.875 = X
Therefore, it would take 16 years and 64 days until the investment reaches about $ 17323
Find the surface area of the sphere.
r = 3 cm
Formulas for Spheres
S.A. = 4tr2
V = grur S.A. = [?] cm2
Round to the nearest tenth.
The surface area of the sphere is 113 square cm
How to determine the surface area?The radius is given as:
r = 3 cm
The surface area is calculated as:
[tex]A = 4\pi r^2[/tex]
So, we have:
[tex]A = 4\pi * 3^2[/tex]
Evaluate the product
A = 113
Hence, the surface area of the sphere is 113 square cm
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Answer: 113
Step-by-step explanation: SA formula is = 4*pi*r^2, input our own values into that, and we get 4*3.14*5^2 = 113.04, round down, and you get 113
So lost. How do I find the area when the height isn’t shown.
Answer:
By taking the height as x most probably
Step-by-step explanation:
Write an equation of the line below in the picture?
Answer:
0,-1, -7-2 is the correct answer
Question 3 (4 marks)
A certain retail outlet found that 40% of all customers walking into their store will buy at least one item on
that occasion. Customers make a purchase independently from one another. Calculate the following
probabilities correct to 4 decimal places.
3.1. (2 marks) What is the probability that one or two out of the next four customers will make a purchase?
3.2. (2 marks) What is the probability that at least one out of the next four customers do not make a purchase?
Answer:
3.1 0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.
3.2 0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent of any other customer. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
40% of all customers walking into their store will buy at least one item on that occasion.
This means that [tex]p = 0.4[/tex]
4 customers:
This means that [tex]n = 4[/tex]
3.1 What is the probability that one or two out of the next four customers will make a purchase?
This is:
[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{4,1}.(0.4)^{1}.(0.6)^{3} = 0.3456[/tex]
[tex]P(X = 2) = C_{4,2}.(0.4)^{2}.(0.6)^{2} = 0.3456[/tex]
So
[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2) = 0.3456 + 0.3456 = 0.6912[/tex]
0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.
3.2. What is the probability that at least one out of the next four customers do not make a purchase?
This is:
[tex]P(X \leq 4) = 1 - P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.4)^{4}.(0.6)^{0} = 0.0256[/tex]
[tex]P(X \leq 4) = 1 - P(X = 4) = 1 - 0.0256 = 0.9744[/tex]
0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase
Solve for V . -2(v+1)=3v-17 Simplify your answer as much as possible.
Answer:
v = 3
Step-by-step explanation:
You can start by distributing -2:
-2v - 2 = 3v -17
Next, add 2v to both sides to combine the v terms:
-2v - 2 = 3v - 17
+2v +2v
-2 = 5v - 17
To isolate the v term, we add 17 to both sides:
-2 = 5v - 17
+17 +17
15 = 5v
Lastly, divide by 5 to get v:
15 = 5v
÷ 5 ÷5
3 = v --> v = 3
if your recipe for minestrone soup call for 3 quart of chicken broth. You have 2 liters. How much more do you need? give answer in quarts.
Factor y2 - 5y - 1y+ 5 by grouping.
A) (y + 1)(y – 5)
B) (y - 1)(y – 5)
C) (y - 1)(y + 5)
D) (y + 1)(y + 5)
Answer:
C
Step-by-step explanation:
gghiruufkfhfjttyyyyyy
Answer:
the answer is (y-1) (y-5)
Consider the relationship 5r+8t=10 A. write the relationship as a function r=f(t) B. Evaluate f(-5) C. solve f(t)= 26
Answer:
A) [tex]f(t) = 2 - \frac{8}{5}\cdot t[/tex], B) [tex]f(-5) = 10[/tex], C) [tex]t = -15[/tex] for [tex]f(t) = 26[/tex]
Step-by-step explanation:
A) Let be [tex]f(t) = r[/tex] and [tex]5\cdot r + 8\cdot t = 10[/tex], the latter expression is a function in implicit form and we need to turn it into its explicit form, where [tex]t[/tex] is the independent variable.
[tex]5\cdot r = 10 - 8\cdot t[/tex]
[tex]r = 2 -\frac{8}{5}\cdot t[/tex]
[tex]f(t) = 2 - \frac{8}{5}\cdot t[/tex]
B) If we know that [tex]t = -5[/tex]. then [tex]f(-5)[/tex] is:
[tex]f(-5) = 2 - \frac{8}{5}\cdot (-5)[/tex]
[tex]f(-5) = 10[/tex]
C) If we know that [tex]f(t) = 26[/tex], then we solve for [tex]t[/tex]:
[tex]2 - \frac{8}{5}\cdot t = 26[/tex]
[tex]\frac{8}{5}\cdot t = -24[/tex]
[tex]t = -15[/tex]
ANSWER FAST I JUST NEED ANSWER
Answer: 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
The graph shows 180 pages on it, and if you go over and down then it shows chapter 18.
Calculate the total amount paid for a stock if you purchased 350 shares of the stock at $21.50 per share
the broker's commission is $40 + $0.20/ share
O $7595
O $7635
0 $7525
O $7000
Answer:
7635
Step-by-step explanation:
350(.2+21.5)+40=7635
Answer:
7525
Step-by-step explanation:
you have to multiply
Somebody knows how to do that?
Answer:
p(g) (85 if 3g)
p(g) (135 if 3g)
p(g) (195 if 6g)
lets move p fwd so that 3+3+2 = 8
8 games = 3(85) + 3(135) + 2(195)
= 255 + 405 + 390
= 1050 yards
Statement would be something like > more than 1000 or designed around a division as proof to prove average or mean per game = 1050/8 = 131.25 mean or even the range 405-255 = 150 range whilst the median would be 135
Last question asks '' How many games has James played when he has scored 85 yards? '' The answer would be 1 game can be shown as g or 1g.
Let me know what the statement choices are and I'd be happy to help.
Step-by-step explanation:
Mrs. Nickel puts a variety of wrapped chocolate candies in a bag. There are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies, and 4 gold-wrapped candies. If 15 students select one candy at a time out of the bag, without looking, and replace the candy after each draw, how many students would be expecting to select a gold-wrapped candy from the bag?
Answer:
5 students would be expecting to select a gold-wrapped candy from the bag.
Step-by-step explanation:
Since Mrs. Nickel puts a variety of wrapped chocolate candies in a bag, and there are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies, and 4 gold-wrapped candies, if 15 students select one candy at a time out of the bag, without looking, and replace the candy after each draw, to determine how many students would be expecting to select a gold-wrapped candy from the bag, the following calculation must be performed:
5 + 1 + 2 + 4 = 12
4 gold-wrapped candies out of 12 in total
4/12
15 x 4/12 = X
15 x 0.333 = X
5 = X
Therefore, 5 students would be expecting to select a gold-wrapped candy from the bag.
In triangle ABC, the complement of < B is < A.
Which statement is not always true?
Answer:
[tex](c)\ \tan B = \sin A[/tex]
Step-by-step explanation:
Given
[tex]\angle A + \angle B = 90[/tex] --- Complement angles
See attachment for complete question
Required
Which is not always true
To do this, we simply test each option
[tex](a)\ \sin A = \cos B[/tex]
The above is always true, if A and B are complements.
Examples are:
[tex]\sin(40) = \cos(50)[/tex]
[tex]\sin(90) = \cos(0)[/tex]
etc
[tex](b)\ \sec A = \csc B[/tex]
The above is always true, if A and B are complements.
The expression can be further simplified as:
[tex]\frac{1}{\cos A} = \frac{1}{\sin B}[/tex]
Cross Multiply
[tex]\sin B = \cos A[/tex]
This is literally the same as (a)
[tex](c)\ \tan B = \sin A[/tex]
The above is not always true, if A and B are complements.
The expression can be further simplified as:
[tex]\frac{\sin B}{\cos B} = \sin A[/tex]
Cross multiply
[tex]\sin B = \sin A * \cos B[/tex]
If A and B are complements. then
[tex]\sin A = \cos B[/tex]
So, we have:
[tex]\sin B = \sin A * \sin A[/tex]
[tex]\sin B = \sin^2 A[/tex]
The above expression is not true, for values of A and B
[tex](d) \cot B = \tan A[/tex]
The above is always true, if A and B are complements.
An example is:
[tex]\cot (55) = \tan (25) = 0.7002[/tex]
etc.
For a sample of 9 automobiles, the mileage (in 1000s of miles) at which the original front brake pads were worn to 10% of their original thickness was measured, as was the mileage at which the original rear brake pads were worn to 10% of their original thickness. The results were as follows:
Car Rear Front
1 41.6 32.6
2 35.8 26.7
3 46.4 37.9
4 46.2 36.9
5 38.8 29.9
6 51.8 42.3
7 51.2 42.5
8 44.1 33.9
9 47.3 36.1
Find a 95% confidence interval for the difference in mean lifetime between the front and rear brake pads.
Answer:
(8.734 ≤ μd ≤ 10.026)
Step-by-step explanation:
Given the data:
Car Rear Front
1 41.6 32.6
2 35.8 26.7
3 46.4 37.9
4 46.2 36.9
5 38.8 29.9
6 51.8 42.3
7 51.2 42.5
8 44.1 33.9
9 47.3 36.1
Difference, d :
9, 9.1, 8.5, 9.3, 8.9, 9.5, 8.7, 10.2, 11.2
Mean difference, μd = Σd / n = 84.4 / 9 = 9.38
Standard deviation of difference, Sd = 0.84 (calculator)
The confidence interval :
μd ± margin of error
Margin of Error = Tcritical * Sd/√n
TCritical at 95%, df = 9-1 = 8
Tcritical = 2.306
Margin of Error = 2.306 * (0.84/√9) = 2.306*(0.84/3) = 0.64568
Lower boundary = 9.38 - 0.64568 = 8.73432
Upper boundary = 9.38 + 0.64568 = 10.02568
(8.734 ; 10.026)
Please help, I will mark you brainly, thank you if you do
Please explain well
Look at the picture
Answer:
Vertex: (1/2, 9/2)
the axis of symmetry: 1/2
x-intercept(s): (2,0) , (-1,0)
y-intercept: (0,4)
Step-by-step explanation:
you can search up math.way to solve math problems hope this helped!
(no dot between it ^) have a good day
Plssss help I’ll mark u brainliest!!!
Answer:
The answer to the question is C
What is 17% of 13.00
Answer:
The answer is 2.21
Step-by-step explanation:
Answer:
2.21
Step-by-step explanation:
13(.17)
Solve the proportion then around your answer to the nearest hundredth
I need help with this
Answer:
i thinck its just 1 and 2
Step-by-step explanation:
What is 5/6 divided by 1/4 in simplest form?
Answer:..
Step-by-step explanation:
I need help. someone help me and quick,!
Answer:
true
Step-by-step explanation:
because 25+11 = 36
______
eeeeeeeeeeeeeeeeeeeeeeehhhheelllllllpppppppppp
Answer:
2/3
Step-by-step explanation:
My brain is too big
Answer:
2/3
Step-by-step explanation:
Plz help me well mark brainliest if correct.....????.
Answer:
12 cubic centimeters
Step-by-step explanation:
What the answer please help me
Answer:
It's c
Step-by-step explanation:
[tex] \sqrt{ {15}^{2} + {8}^{2} } = 17 \\ \sin(x) = \frac{8}{17} \\ \cos(x) = \frac{15}{17} [/tex]
Can someone plz help with this? Thank you so much.
Answer:
A. 3
Step-by-step explanation:
[tex]y = 3x - 8 \\ at \: (6, \: 1) \\ \frac{dy}{dx} = 3 \\ at \: (x, \: y) \\ gradient = \frac{y - 1}{x - 6} \\ 3 = \frac{y - 1}{x - 6} \\ y - 1 = 3(x - 6)[/tex]
Sarah and all of her siblings have brown hair. She concludes that if her parents have another child, he or she will have brown hair. Is this an example of inductive or deductive reasoning?
a) Deductive.
b) Inductive.
c) Both deductive and inductive.
d) Neither deductive nor inductive.
Answer:
b) Inductive
Step-by-step explanation:
It is correct to say that this is an example of inductive reasoning, because the reasoning is based on a situational perception and not on actual logic. Sarah based her reasoning on a premise that if she and her brothers have brown hair, then if she had another brother, he would also have brown hair.
Find the equation of a circle that is centered at the origin and is tangent to the circle (x−6)^2+(y−8)^2=25
Center: ( 6 , 8 )
Radius: 5
Answer:
[tex] x^2 +y^2 = 25 [/tex]
Step-by-step explanation:
Center of the required circle = (0, 0)
Center of the given circle = (6, 8)
Radius of the given circle = 5 units
Distance between the centers of both the circles
[tex] =\sqrt{(6-0)^2 +(8-0)^2} [/tex]
[tex] =\sqrt{(6)^2 +(8)^2} [/tex]
[tex] =\sqrt{36 +64} [/tex]
[tex] =\sqrt{100} [/tex]
[tex] =10\: units [/tex]
Since, required circle is tangent to the given circle with radius 5 units.
Therefore,
Radius of required circle = 10 - 5 = 5 units
Now, Equation of required circle can be obtained as:
[tex] (x - 0)^2 +(y - 0)^2 = 5^2 [/tex]
[tex] (x)^2 +(y)^2 = 25 [/tex]
[tex] x^2 +y^2 = 25 [/tex]
Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?
(one-half, seven-quarters)
(one-half, three-halves)
(1, 1)
(1, 3)
Answer:
[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2 - x +2[/tex]
Required
The vertex
We have:
[tex]f(x) = x^2 - x +2[/tex]
First, we express the equation as:
[tex]f(x) = a(x - h)^2 +k[/tex]
Where
[tex]Vertex = (h,k)[/tex]
So, we have:
[tex]f(x) = x^2 - x +2[/tex]
--------------------------------------------
Take the coefficient of x: -1
Divide by 2: (-1/2)
Square: (-1/2)^2
Add and subtract this to the equation
--------------------------------------------
[tex]f(x) = x^2 - x +2[/tex]
[tex]f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2[/tex]
[tex]f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}[/tex]
Expand
[tex]f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}[/tex]
Factorize
[tex]f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]
Factor out x - 1/2
[tex]f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]
[tex]f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}[/tex]
[tex]f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}[/tex]
[tex]f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}[/tex]
Compare to: [tex]f(x) = a(x - h)^2 +k[/tex]
[tex]h = \frac{1}{2}[/tex]
[tex]k = \frac{7}{4}[/tex]
Hence:
[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]
Question: Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?
Answer: A or 1/2 , 7/4
Step-by-step explanation:
did it on an assignment on EDGE
Decrease £2123 by 8%
Give your answer rounded to 2 DP
The Decreased amount of £2123 by 8% is approximately; £1953.16
How to find percentage decrease a value?We want to decrease £2123 by 8%.
We can do this by the following formula;
Decreased amount = 2123 * (100% - 8%)
Decreased amount = 2123 * 92%
Decreased amount = £1953.16
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