Answer:
x=[tex]1.22930[/tex]
Step-by-step explanation:
47(218 x+12 ) =−2(17 −528 x)
Simplify 47(218 x+12 ) : 327(21x+4) 327(21x+4) =−2(17 −528 x)
Multiply both sides by 7(21x+4)
327(21x+4) · 7(21x+4)=−2(17 −528 x)· 7(21x+4)
Simplify, 32=−14(17 −528 x)(21x+4)
Solve 32=−14(17 −528 x)(21x+4): x=32+4√589105 , x=32−4√589105 x=32+4√589105 , x=32−4√589105
Answer:
x = 0.5
Step-by-step explanation:
[tex]\frac{4}{7}(\frac{21}{8}x + \frac{1}{2}) = -2(\frac{1}{7} - \frac{5}{28}x)[/tex]
[tex]1\frac{1}{2}x + \frac{2}{7} = - \frac{2}{7} + \frac{5}{14}x[/tex]
[tex]1\frac{1}{2}x - \frac{5}{14}x + \frac{2}{7} = - \frac{2}{7} + \frac{5}{14}x - \frac{5}{14}x[/tex]
[tex]1\frac{1}{7}x + \frac{2}{7} = - \frac{2}{7}[/tex]
[tex]1\frac{1}{7}x + \frac{2}{7} - \frac{2}{7} = - \frac{2}{7} - \frac{2}{7}[/tex]
[tex]1\frac{1}{7}x = - \frac{4}{7}[/tex]
[tex]\frac{1\frac{1}{7}x}{1\frac{1}{7} } = \frac{- \frac{4}{7}}{1\frac{1}{7} }[/tex]
[tex]x = -\frac{1}{2}[/tex]
At a tennis tournament a statistician keeps track of every serve. The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was bell shaped. What proportion of the player's serves are expected to be between 119 mph and 130 mph
Answer:
0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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.
The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph.
This means that [tex]\mu = 97, \sigma = 11[/tex]
What proportion of the player's serves are expected to be between 119 mph and 130 mph?
This is the pvalue of Z when X = 130 subtracted by the ovalue of Z when X = 119.
X = 130
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{130 - 97}{11}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a pvalue of 0.9987
X = 119
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{119 - 97}{11}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
0.9987 - 0.9772 = 0.0215
0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.
For each set of measures, choose whether the conditions determine a unique triangle, more than one triangle, or no triangle.
Answer:
the first one is "1 triangle" the second one is "no triangles" the third one is "no triangles and the fourth one is "1 triangle"
Step-by-step explanation:
I got it right one edge
From conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The table shows the set of measures, we need to determine which condition can make triangles.
Condition 1:
AB = 15 cm, BC = 20 cm, ∠B = 40°
By SAS criteria, this condition can form a triangle.
Condition 2:
AB = 20 cm, BC = 15 cm, ∠C = 40°
Here the condition is Side-Side-Angle. There is no such criteria, so no triangle can be formed.
Condition 3:
BC = 10 cm, BC = 5 cm, ∠A = 20°
Here side length of BC alone is given. With one side and one angle, no triangle can be formed.
Condition 4:
AC = 5 cm, BC = 10 cm, AB = 14 cm
Here three sides are given, so we can form a triangle.
Hence we can conclude that from conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.
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Directions: Graph each function using a table of Graph each values, then identify its key characteristics.
1
4. y=(1/2)x
Growth / Decay
»-(
Domain:
Range:
j-intercept:
Asymptote:
Answer:
Step-by-step explanation:
Given function is,
[tex]y=(\frac{1}{2})^x[/tex]
In the given exponential function,
Base of the function = [tex]\frac{1}{2}[/tex]
By the property of an exponential function,
1). If the base is between 0 and 1, function will be a growth function.
2). If the base is greater than 1, function will be a decay function.
Therefore, given function is a decay function.
Input-output table,
x -2 -1 0 1 2
y [tex](\frac{1}{2})^{-2}=4[/tex] [tex](\frac{1}{2})^{-1}=2[/tex] [tex](\frac{1}{2})^{0}=1[/tex] [tex](\frac{1}{2})^1=\frac{1}{2}[/tex] [tex](\frac{1}{2})^2=\frac{1}{4}[/tex]
By plotting these points we can get the graph of the function.
Domain: (-∞, ∞)
Range: (0, ∞)
y-intercept: 1
Asymptote: y = 0
What is the circumference of a circle having a radius of 56 mm
Answer:
The circumference is 351.68 millimeters or 352 millimeters.
Step-by-step explanation:
The formula to find the circumference of circle is 2 * pi * radius.
Applying Circumference Formula: 2 * 3.14 * 56 = 351.68 millimeters.
If you need to round to the nearest hundredth, the answer would be
352 millimeters.
I think this is correct, please don't hate me if I'm wrong. ;D
A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Assume that the information desk employee in Problem 1 earns $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of time spent waiting in line. Find the total expected costs over an 8-hour day
Answer:
tsc = 8*1*10 = $80
twc = 8*20*0.0667*12 = $128.06
tc = 80 + 128.06 = $208.06
Step-by-step explanation:
To find the total expected costs for an 8 hour period, first you must find the total service costs (tsc) and the total waiting costs (twc) as the two costs are what make up the total cost (tc).
Total service cost = (the number of channels)(cost per channel)
tsc = m*Cs
There is only 1 employee so the number of channels is 1.
The cost for this channel is $10 per hour, so 10 * 8 hours in the day.
Total waiting cost = (total time spent waiting by all arrivals)(cost of waiting)
twc = (number of arrivals)(average wait per arrival) Cw
The number arrivals is at the rate of 20 per hour.
The average wait per arrival was found as Wq previously.
Wq = 20/(30*(30-20)) = 0.0667 hours
The cost of waiting (Cw) is the $12 per hour multiplied by the 8 hour day.
Total Expected Cost for an 8 hour day is the sum of the total service cost plus the total waiting cost.
Please help very urgent
Answer:
it depends how many weeks look below
Step-by-step explanation:
1 week=$100.00
2 weeks=$115.00
3 weeks=$130.00
4 weeks=$145.00
and so on
pretty much every week you go up, she earns 15 bucks
hope this helps! have a good day :)
Help me please I need help with this math homework
A circle with center P is shown. RS and ST are tangent to circle P. What is the degree measure of angle RST
The volume of the prism is 8,412 cubic meters. what is the height in meters?
Answer:
the height is 20
I’m a little confused.
Answer:
about 27 degrees
Step-by-step explanation:
all you do is 10 minus the negative 17 which two negative equal a positive so its then 10 +17 which equals 27
Anyone know how to answer this question
help please, asap. i need this done
Answer:
30
Step-by-step explanation:
24/4=6
42/7=6
6 x 5=30
Which of the following is a solution to the equation: y = 7x + -59? Choose all that apply.
Select all that apply:
O (8,-3)
O (9,8)
O (7,-3)
0 (10,5)
Answer:
[tex](a)\ (8,-3)[/tex]
Step-by-step explanation:
Given
[tex]y =7x +-59[/tex]
Required
Select all solutions
[tex](a)\ (8,-3)[/tex]
This implies that:
[tex]x = 8; y=-3[/tex]
So:
[tex]y =7x +-59[/tex]
[tex]-3 =7 * 8 + -59[/tex]
[tex]-3 =7 * 8 -59[/tex]
[tex]-3 =56 -59[/tex]
[tex]-3 =-3[/tex]
The above is a solution:
[tex](b)\ (9,8)[/tex]
This implies that:
[tex]x=9\ y =8[/tex]
So:
[tex]y =7x +-59[/tex]
[tex]8 =7 * 9 + -59[/tex]
[tex]8 =7 * 9 -59[/tex]
[tex]8 =63 -59[/tex]
[tex]8 =4[/tex]
The above is not a solution because [tex]8 \ne 4[/tex]
[tex](c)\ (7,-3)[/tex]
This implies that:
[tex]x=7;\ y=-3[/tex]
So:
[tex]y =7x +-59[/tex]
[tex]-3 = 7 * 7 +-59[/tex]
[tex]-3 = 7 * 7 -59[/tex]
[tex]-3 = 49 -59[/tex]
[tex]-3 = -10[/tex]
The above is not a solution because [tex]-3\ne -10[/tex]
[tex](d)\ (10,5)[/tex]
This implies that:
[tex]x =10; y=5[/tex]
So:
[tex]y =7x +-59[/tex]
[tex]5 = 7 * 10 + -59[/tex]
[tex]5 = 7 * 10 -59[/tex]
[tex]5 = 70 -59[/tex]
[tex]5 = 11[/tex]
The above is not a solution because [tex]5 \ne 11[/tex]
Asap
It is for past paper that is due in tomorrow 29th
Answer:
(i) 22.5
(ii) 7.2
Step-by-step explanation:
(i)
AB:PQ = 2:5 = 1:2.5
So PQ is 2.5 times longer than AB.
PQ=2.5AB=(2.5)9=22.5
(ii):
Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:
QR=2.5BC
BC=QR/2.5=18/2.5=7.2
I need this assignment done will give brainliest and extra points.
Answer:
1a.2.5x³-2.25x²+3.5x-1.5
1b.No, they aren't equal. (worked out the product for both and they weren't equal, see below)
2a.-2x⁶+7x⁴+3x³-3x²+11x+20
2b.Yes. When multiplying, it doesn't matter which term/expression you put first
3. The equation has two solutions: x=-2, x=3
Step-by-step explanation:
1. (a)
(0.5x-0.25)(5x²-2x+6)
0.5x(5x²-2x+6)-0.25(5x²-2x+6)
2.5x³-x²+3x -1.25x²+0.5x-1.5
2.5x³-2.25x²+3.5x-1.5
(b)
(0.25x-0.5)(5x²-2x+6)
0.25x(5x²-2x+6)-0.5(5x²-2x+6)
1.25x³-0.5x²+1.5x -2.5x²+x-3
1.25x³-3x²+2.5x-3
This is not equal to our answer for 1(a), so we can see they're not the same.
2(a)
(-2x³+x-5)(x³-3x-4)
-2x³(x³-3x-4) +x(x³-3x-4) -5(x³-3x-4)
-2x⁶+6x⁴+8x³ +x⁴-3x²-4x -5x³+15x+20
-2x⁶+7x⁴+3x³-3x²+11x+20
(b)
Yes. When multiplying, it doesn't matter which term/expression you put first: xy=yx. For example, 2(3)=6 and 3(2)=6.
3
2x²-2x-12=0
(divide each term by 2)
x²-x-6=0
(x+2)(x-3)=0
Anything multiplies by zero is zero, so either x+2=0 or x-3=0
If x+2=0, x=-2. If x-3=0, x=3.
The equation has two solutions: x=-2, x=3
A 6-foot ladder is placed against a wall with its base 2
feet from the wall. How high up the wall is the top of the
ladder? (HINT: Draw a diagram to help you visualize
the problem.)
HELP Math will give 25 brainly points
9514 1404 393
Answer:
51°
Step-by-step explanation:
The angles where the expressions are given are a linear pair, so total 180°.
(3x +15) +(10x +9) = 180
13x = 156 . . . . . . . . . . . . . . . subtract 24, collect terms
x = 156/13 = 12
Then the acute angle is ...
3x +15 = 3(12) +15 = 36 +15 = 51
The stairs make an angle of 51° with the basement floor.
_____
Additional comment
Building code requires the rise to be not more than 8 and the run not less than 9, so the maximum angle is about 41.6°. A 51° staircase would not meet code.
PLEASE !!! HELP QUICKLY !!!
Some credit cards offer a low introductory APR for a set period of time. After the introductory period is over, the APR is increased to a new rate. According to the sample credit card disclosure agreement, after a period of ,_______ the APR will increase to ______.
Blank 1 options (one month, six months, one year)
Blank 2 options (8.99%, 10.99%, 12.99%, 14.99%, 28.99%)
Answer:
1 Year & 14.99%
Step-by-step explanation:
In the photo, are these 2 answers the same thing?
Michelle opened an
interest-bearing savings
account. She deposited $8,750
into the account. If the account
earns 1.3% interest, what will
be Michelle's balance after two
years?
PLEASE HELP
Will give 100 points and Brainliest!
Take a factor out of the sqaure root: √3y^2, where y<0
Answer:
The solution in the photo aobve I think that is true
Step-by-step explanation:
I hope that is useful for you :)
If the Math Olympiad Club consists of 13 students, how many different teams of 5 students can be formed for competitions?
Answer:
2 teams
Step-by-step explanation:
13 divided by 5 is 2.6, but you cannot split a person in half, so it would be two teams with a remainder of three people.
There are 1287 different teams of 5 students can be formed for competitions.
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
The Math Olympiad Club consists of 13 students.
And, To form different teams of 5 students can be formed for competition.
Hence, We get;
Number of different teams of 5 students can be formed for competitions is,
⇒ ¹³ C ₅
⇒ 13! / 5! 8!
⇒ 1287
Thus, There are 1287 different teams of 5 students can be formed for competitions.
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what 2 integers are closest to the number 75
Answer:
74 and 76
Step-by-step explanation:
I'm pretty sure
Answer:
8 and 9
Step-by-step explanation:
8 x 8 = 64
9 x 9 = 81
75 is the number between 64 and 81
Which prism has the largest surface area?
Answer: a
Step-by-step explanation:
pls help!!
What is the equation of a line that is parallel to the line 4x + y = 8 and has a y-intercept of 12?
A. x + 3y = 2
B. 4x + y = 12
C. 12x + y = 8
D. x - 4y = -48
Answer:
B. 4x+y=12
Step-by-step explanation:
You can either graph them or solve each one for x then identify the one with an equal slope and y-intercept of 12.
15 points
Triangle ABC has side lengths of 19 in, 12 in, and 25 in. Match each side
with its correct length. *
I will give brainliest ]. 28 POINTS !
Answer:aa
Q
Q
A
W
W
Q
Q
S
S
W
Q
W
W
W
W
Step-by-step explanation:
A
Dsjsjshshsjwbwsjwbwhsjwnwhwjwjwjwb
A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a spade, the second card drawn is a heart, and the third card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.
Answer:
The probability of the given scenario occuring is about 0.0153.
Step-by-step explanation:
A standard deck contains 52 cards.
We want the first card to be a spade. In a standard deck, 13 out of the total 52 cards are spades.
So, the probability that the first card is a spade is 13/52 or simply 1/4.
Now, we will draw a second card without replacing the first card. Since we did not replace the first card, the total amount of cards in the deck is now 51.
This time, we want a heart. 13 cards of the remaining 51 will be hearts. So, the probability that the second card is a heart is 13/51.
Now that we've drawn two cards without replacing them, the total number of cards left is 50.
And since we've drawn (or would like to have drawn) a heart as our second card, the total number of cards that are hearts is now 12.
Then the probability of the third card being hearts will be 12/50 or 6/25.
Then the probability that our first card is a spades, second card is a heart, and the third and final card is also a heart without any replacements will be:
[tex]\displaystyle P(\text{spade, heart, heart})=\frac{1}{4}\cdot \frac{13}{51}\cdot \frac{6}{25}=\frac{13}{850}\approx0.0153[/tex]
The probability of the given scenario occuring is about 0.0153.
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
donuts
Answer:
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
donuts
Step-by-step explanation:At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
donutsAt Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to
If 10 donuts are sold. Then the expected value of the number of sprinkles will be 5.
What is binomial distribution ?The binomial distribution is a discrete probability distribution that models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has a constant probability of success. It is commonly used in statistical modelling to describe the distribution of outcomes in a binary event, such as the success or failure of an experiment, or the presence or absence of a characteristic in a population. The binomial distribution is characterized by two parameters: the number of trials (n) and the probability of success in each trial (p).
E(X) = np
Given that,
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data.
If 10 donuts are sold.
Then the number of the sprinkles would be
The probability would be
p = 3/6
p = 0.5
n = 10
Now, the expected value of the number of the sprinkles will be
E(x) = 10 x 0.5
E(x) = 5
Hence, the number of sprinkles is 5
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A 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} . Find the probability of rolling a number greater than 18.
Answer:
the probablity of rolling a number greater than 18 is 0
Step-by-step explanation:
mark me as brainliest
Answer:
The probability is 0 since there is no outcome that gives him a role greater than 18
Please mark as braniest if this is what you are looking for
When Melissa was born, her parents put $8,000 into a college fund account that earned 9% simple interest. Find the total amount in the account after 18 years. *
Answer:
$20,960
Step-by-step explanation:
Melissa's parent saved 8 000 dollars in the bank for her college fund account. It earns 9% annual interest. After 18 years, how much interest will it accumulate and how much is the total amount that Melissa will have fore her college fund.=> 9% = 9% / 100% = 0.09Let's find the annuak interest first => 8 000 dollars * .09 = 720 dollars The, let's find the after 18 years interest=> 720 dollars * 18 = 12 960 dollarsTotal of the amount: => 8 000 + 12 960 = 20 960 dollars
This is the same as the one above me but in simpler terms
Step-by-step explanation:
I =8000 x 9 x 18 =12,960
Total amount = 12960 +8000= $20,960
Answer:
$12960
Step-by-step explanation:
A=P(1+rt)
8000(1 + (0.09 × 18)) = 20960
A = $20,960.
I = A - P
I=20960-8000
ANS=$12960