Answer: \(a_{n}=-47+n\)
Step-by-step explanation:
This is an arithmetic sequence with first term -46 and common difference 1.
So, \(a_{n}=-46+1(n-1)=-46+n-1=-47+n\)
Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
Steven has $1294.00 in his savings account. He makes a deposit of $100.00 , and for the next 4 weeks he withdraws $350.50 each week. What is his balance at the end of the 4 weeks?
- $108.00
- $8.00
$493.00
$1244.50
Answer:
-8$
Step-by-step explanation:
first, add 100 to 1,294
then multiply 350.50 by 4
and subtract them
Which of the following situations describes a continuous distribution? A probability distribution showing the number of vaccines given to babies during their first year of life A probability distribution showing the average number of days mothers spent in the hospital A probability distribution showing the weights of newborns A probability distribution showing the amount of births in a hospital in a month
Answer:
Continous distributions:
- A probability distribution showing the average number of days mothers spent in the hospital.
- A probability distribution showing the weights of newborns.
Step-by-step explanation:
A probability distribution showing the number of vaccines given to babies during their first year of life will have a discrete distribution as only a natural number can represent the number of vaccines (0, 1, 2 vaccines and so on).
A probability distribution showing the average number of days mothers spent in the hospital can be described as continous because we are averaging days and this average can be fractional, so it is not discrete.
A probability distribution showing the weights of newborns is continous, as the weights are a continous variable (physical measurement), not discrete.
A probability distribution showing the amount of births in a hospital in a month is a discrete distribution, as the number of births can only be represented by natural numbers.
The option that describes a continuous distribution include:
A probability distribution showing the average number of days mothers spent in the hospital.A probability distribution showing the weights of newborns.A continuous distribution simply means the probabilities of the values of a continuous random variable.
Learn more about probability on:
https://brainly.com/question/24756209
in a classroom, 24 students equally shared 8 packs of pencils. how many packs of pencils did each student get
NO LINK
Answer:
1/3
Step-by-step explanation:
Divide the number of pencil packs by the number of students:
8 ÷ 24 = 1/3
So each student got 1/3 of a pack of pencils.
what is the trig for sinC ? this problem is alittle confusing to me
Given a right triangle at B
for the angle C
Opposite side = 27
Hypotenuse = 45
so,
\(\sin C=\frac{opposite}{hypotenuse}=\frac{27}{45}=\frac{9\cdot3}{9\cdot5}=\frac{3}{5}\)So, the answer is option B. 3/5
Despite having developed a reputation as a good cook, I'm really not one. What I am is a really good recipe follower. I put my trust in real chefs whose recipes are posted here on Recipe Masters. Turns out, though, my trust was misplaced. Sadly, my weekly supper club dinner that featured a Recipe Masters recipe for meatball sub casserole turned into a pizza delivery night. If after reading this review, any of my fellow Recipe Masters subscribers are still set on trying this casserole recipe, here is my advice: Stop after the first step, when the sauce turns into an un-stirrable glob. Don't do as I did and continue on, believing things will improve. They won't. Following this recipe is a recipe for disaster. My advice for Recipe Masters is to ensure that recipes posted here are "tried and true," as advertised. We subscribers pay a fee for access to "top-notch, no-fail recipes." If we lose faith in your recipes, we might just turn to the free recipe sites all over the internet. Which sentence best summarizes the author's point of view about the casserole recipe posted on Recipe Masters?
The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.
The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.
Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.
To know more about Recipe Masters here
https://brainly.com/question/27897496
#SPJ4
the answer is a and c i took the testtt
Answer:
Nice job.
Step-by-step explanation:
The current of Cache Creek has speed 2 mph. It takes a small boat a total of 4 hours to travel 12 miles upstream and 12 miles back. Find the speed of the boat in still water. If your answer is not an integer, round it off to two decimal places.
Answer:
6.61 mph
Step-by-step explanation:
Speed of current; c = 2 mph
Total time to travel upstream and back; t = t1 + t2 = 4 hours
Let x represent speed of the boat in still water
Then the actual speed of the boat when going upstream is x - 2, and the actual speed when going downstream downstream is x + 2.
We know that; distance = speed x time, Thus;
For the upstream trip;
12 = (x - 2)t1
t1 = 12/(x - 2)
For the downstream trip;
12 = (x + 2)t2
t2 = 12/(x +2)
Adding both equations, we have;
t1 + t2 = (12/(x - 2)) + (12/(x +2))
4 = (12/(x - 2)) + (12/(x +2))
Multiply through by (x - 2)(x + 2)
4(x - 2)(x + 2) = 12(x + 2) + 12(x - 2)
4x²- 16 = 12x + 24 + 12x - 24
4x² - 16 = 24x
4x² - 24x - 16 = 0
Using quadratic formula, we have;
x ≈ 6.61 mph
1. Find the Perimeter AND Area of the figure
below.
2 ft
5 ft
2 ft
5 ft
Answer:
A = 16 ft^2
P = 20 ft
Step-by-step explanation:
P = perimeter
A = area
STEP 1: divide the shape into rectangles
Rectangle 1: 2ft*3ft
Rectangle 2: 2ft*5ft
STEP 2: Find the area of each rectangle
Equation for area of a rectangle = bh
Rectangle 1: b = 2, h = 3
Rectangle 2: b = 2, h = 5
(2 * 3) + (2 * 5)
6 + 10
16 ft^2
Now, we have to find the perimeter
STEP 1: Find the unknown side lengths.
To find the lengths of the sides not labeled, you have to use the lengths of the sides we already know.
The length of one parallel side is 5, and the length of another parallel side is 2. The length of the unknown side starts at the same place as the top of the side length that is 5, and ends at the top of the side length that is 2. This means that we have to subtract 2 from 5 in order to find the unknown side length.
STEP 2: Add up all the side lengths
P = 2 + 5 + 5 + 2 + 3 + 3
P = 20 ft
Don't forget to label your answers!!
I hope this made sense, it's is a little hard to explain in simple terms without being able to draw, but I hope it helped.
PLSSSS HALLPP!!! DUE TODAY!!! PLS AND THANK YOU!!
Find the Compound Interest
Principal: 100
Interest Rate: 0.4%
Time: 1 year
Answer:
$100.4
Step-by-step explanation:
Compound Interest Formula:
A = P\((\)1 + \(\frac{r}{100}\)\()^{t}\)
=> A = 100 x ( 1 + \(\frac{0.4}{100}\))^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)
Describe What Anime Is
(In 2 or 3 sentences)
Pls don’t copy and paste from G00gI3
Answer:
Anime is animation from japan
If triangles ABC and DEF are similar, what is y? Show your work.
The value of y is 18
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.
Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.
Therefore;
14/21 = 12/y
14y = 21 × 12
14y = 252
divide both sides by 14
y = 252/14
y = 18
Therefore the value of y is 18.
learn more about similar triangles from
https://brainly.com/question/14285697
#SPJ1
I need help please I don't get it at all
100 Points! Geometry question. Photo attached. Find the area of the figure. Round to the nearest tenth if necessary. Please show as much work as possible. Thank you!
Answer:
626.71 cm^2
Step-by-step explanation:
Area of figure = area of half circle + Area of half circle + area of a rectangle
here, diameter=15 cm
radius = 15/2=7.5 cm
length=30cm
breadth=15cm
Now
Area of figure = 1/2*π*radius^2+ 1/2*π*radius^2+length*breadth
=1/2* 1/2*π*7.5^2+1/2* 1/2*π*7.5^2+30*15
=626.71 cm^2
Hamburgers come in packs of 20, while buns come in packs of 12 what is the least number of packs you should buy in order to have the same numbers of hamburgers and buns?
introduces a husband and wife with brown eyes who have 0.75 probability of having children with brown eyes, 0.125 probability of having children with blue eyes, and 0.125 probability of having children with green eyes. a) What is the probability that their first child will have green eyes and the second will not? b) What is the probability that exactly one of their two children will have green eyes? c) If they have six children, what is the probability that exactly two will have green eyes? d) If they have six children, what is the probability that at least one will have green eyes? e) What is the probability that the first green eyed child will be the 4th child? f) Would it be considered unusual if only 2 out of their 6 children had brown eyes?
The probability of their first child having green eyes is 0.125, and the probability of their second child not having them is 0.875.
What is a probability?Probability is an estimate of how likely an occurrence is to occur. It's a figure between 0 and 1, where 0 means the event is unlikely and 1 means the event is certain. A likelihood of 0.5 (or 50%) indicates that the occurrence has an equal chance of occurring or not occurring.
In the given question,
a) The probability of their first child having green eyes is 0.125. The probability of their second child not having green eyes is 1 - 0.125 = 0.875. Therefore, the probability that their first child will have green eyes and the second will not is 0.125 x 0.875 = 0.1094.
b) The probability of exactly one of their two children having green eyes can be calculated in two ways: either the first child has green eyes and the second doesn't, or the first child doesn't have green eyes and the second does. The probability of the first scenario was calculated in part (a) to be 0.1094, and the probability of the second scenario is the same, so the total probability is 2 x 0.1094 = 0.2188.
c) The probability of exactly two out of six children having green eyes can be calculated using the binomial distribution with n = 6, p = 0.125, and k = 2. The formula for this probability is:
P(k=2) = (6 choose 2) x \(0.125^2 x (1 - 0.125)^4\) = 0.1936
where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6.
d) The probability of at least one of their six children having green eyes is the complement of the probability that none of them do. The probability that any one child doesn't have green eyes is 1 - 0.125 = 0.875, so the probability that none of the six children have green eyes is \(0.875^6\) = 0.1779. Therefore, the probability that at least one of their six children has green eyes is 1 - 0.1779 = 0.8221.
e) The probability that the first green-eyed child will be the fourth child is the probability that the first three children do not have green eyes, multiplied by the probability that the fourth child has green eyes, multiplied by the probability that the fifth and sixth children do not have green eyes. The first three children have a probability of \((1-0.125)^3\) = 0.578 to not have green eyes. The fourth child has a probability of 0.125 to have green eyes. The probability that the fifth and sixth children do not have green eyes is \((1-0.125)^2\) = 0.765625. Therefore, the probability that the first green-eyed child will be the fourth child is 0.578 x 0.125 x 0.765625 = 0.0557.
f) It would depend on the context and the specific definition of "unusual." If the expected number of brown-eyed children is 0.75 x 6 = 4.5, then having only 2 out of 6 children with brown eyes is below average. However, the probability of this exact outcome can be calculated using the binomial distribution with n = 6 and p = 0.75:
P(k=2) = (6 choose 2) x \(0.75^2 x (1 - 0.75)^4\) = 0.0986
where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6. This probability is not very low (less than 10%), so it might not be considered unusual in a statistical sense.
To know more about probability, visit
brainly.com/question/14210034
#SPJ1
Find a8 of the sequence 10,9.75,9.5,9.25,….
Answer:
10,9.75,9.5,9.25,9, 8.75 , 8.5, 8.25, 8...
Step-by-step explanation:
Subtract 0.25 from each to find the next number
Answer:
8.25
Step-by-step explanation:
If you substract .25 from each number until you get to a8 you will get 8.25
Amelia grabbed 50% of the M&M's from a bowl. Then, Jess took 50% of what was left. Dominick takes 50% of the remaining M&M's. There were 3 left. How many M&M's were in the bowl before Amelia arrived.
The number of M&M's that were in the bowl before Amelia arrived is; 12
How to solve Percentage problems?Let the original amount in the bowl be x. Thus;
If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x
Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x
Now, we are told that there were finally 3 left after all the deductions. Thus;
0.25x = 3
x = 3/0.25
x = 12
Read more about percentage Problems at; brainly.com/question/843074
#SPJ1
1 hour is equal to how many seconds
Answer: 3600 seconds
Step-by-step explanation:
60 seconds in a minute
60 minutes in an hour
(60)(60) = 3600
Answer:
3600
Step-by-step explanation:
There are 60 seconds in 1 minute
30 minutes equal 1800
So, 1800 + 1800 is 3600.
Hope this helps! :)
__
In this figure, GH has
endpoints G(-2,4) and H(2,-3).
What are the coordinates of
__
G’ and H’ after GH is dilated
by a factor of 3 with center of
dilation by a factor of 3 with
the center of dilation at the
origin?
G’(________,________)
H’(________,________)
Answer:
g- 6,12. h- 6,-9
Step-by-step explanation:
multiply cords bye 3
Answer:
G = -6, 12
H = 6, -9
Step-by-step explanation:
Doing the practice right now <3
Solve for b
10, b, 150degrees, 12degrees
Hello!
We have all angles of the triangle:
We will use the law of cosines. This relation is valid for all sides of any t
We have:
angle A = 12°
côté a = 10
angle B = 150°
This is therefore the first case of application of the sine law.
So:
\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)
\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)
b = 25cmWhat is the volume of this prism?44 cubic units
88 cubic units
102 cubic units
Not enough information.
The volume of the prism will be 88 cubic units. Then the correct option is B.
Given that:
Length, L = 4 units
Width, W = 4 units
Height, H = 5.5 units
The volume of the prism is given as,
V = L x W x H
The volume of the prism is calculated as,
V = 4 x 4 x 5.5
V = 88 cubic units
The volume of the prism will be 88 cubic units. Then the correct option is B.
More about the rectangular prism link is given below.
https://brainly.com/question/12649592
#SPJ1
The complete question is given below.
What is the volume of the right rectangular prism 
Answer:
432
Step-by-step explanation:
V=length×width×height
= 8×6=48
=48×9=432
Answer:
\(432{mm}^{3} \)
Step-by-step explanation:
\(9mm \times 6mm \times 8mm = 432 {mm}^{3} \)
The graphs of two lines are shown below
Answer:
C
Step-by-step explanation:
HELP.. What angle pair relationship is shown?
A.Same Side Exterior
B.Corresponding
C. Adjacent
D.Alternate Interior
Sphenathi and other matriculants plan to pass Bloemfontein at 07.25 to travel the above stated distance to Uptington. Determine (to the nearest km/h) the average speed at which they must travel to be in Uptington by 09:45.
Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.
To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.
The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:
2 hours + 20 minutes / 60 = 2.33 hours
Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.
We can use the formula for average speed: average speed = distance / time
In this case, the average speed should be such that the distance divided by the time is equal to the average speed.
d / 2.33 = average speed
Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:
250 / 2.33 = average speed
To find the average speed to the nearest km/h, we'll calculate the result:
average speed ≈ 107.3 km/h
Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.
For more questions on average speed
https://brainly.com/question/553636
#SPJ8
Brainliest if correct
Answer:
w=4
Step-by-step explanation:
First, we can simplify the equation.
28=14w-7w
28=7w
Then, we can divide by 7 on both sides of the equation.
28/7=7w/7
4=w
Finally, we know that x equals 4.
Answer:
w =4
Step-by-step explanation:
28 = 14w - 7w
Combine like terms
28 = 7w
Divide both sides of the equation by the same term
28/7 = 7w/7
Simplify
w = 4
[RevyBreeze]
6 The drawing below represents the frame for an isosceles triangle-shaped roof. The height of the roof is 6 feet. 30° А B What is the distance from Point A to Point B in feet? (G.8b)(1 point) O A. 4V3 OB. 123 O C. 24 O D. 12
Given the information about the isosceles triangle, we have the following right triangle:
we can find half the distance from A to B by using the trigonometric function tangent as follows:
\(\begin{gathered} \tan (30)=\frac{\text{opposite side}}{adjacent\text{ side}}=\frac{6}{x} \\ \Rightarrow x=\frac{6}{\tan (30)}=\frac{6}{\frac{1}{\sqrt[]{3}}}=6\sqrt[]{3} \end{gathered}\)therefore, the distance from point A to point B is:
\(d(A,B)=2\cdot(6\sqrt[]{3})=12\sqrt[]{3}\)Complete the five-number summary for the data set: 5, 2, 1, 3, 3, 6, 4, 2, 7.
you type in the answer
Answer:
NOOO OYU TYPE INTHE ANSWER
Step-by-step explanation:
What is the slope of the line?
Answer:
-7/2
Step-by-step explanation:
The slope of a line can be defined as: \(\frac{rise}{run}\), which can be more formally calculated as: \(\frac{y_2-y_1}{x_2-x_1}\), where it's essentially the same thing, except the rise/run is being calculated with two points (which you already need)
So let's just say: \((x_1, y_1)=(-5, 5)\text{ and } (x_2, y_2)=(-3, -2)\)
Plugging the values into the equation we get: \(\frac{-2-5}{-3-(-5)}\implies\frac{-7}{-3+5}\implies-\frac{7}{2}\)
You can also just look at the graph and see that from point 1 to point 2, it "rised" -7 units, and "ran" 2 units.
Notice how the "rise" is negative? That just means it went down.