Answer:
[tex]x_{1} =[/tex] [tex]\frac{5 + \sqrt{10} }{3}[/tex] and [tex]x_{2} =[/tex] [tex]\frac{5 - \sqrt{10} }{3}[/tex]
Step-by-step explanation:
3x^2-10x+5=0
[tex]x_{1}[/tex] = [tex]\frac{10 + \sqrt{10^{2}-4*3*5 } }{2*3}[/tex] [tex]x_{2} =[/tex] [tex]\frac{10 - \sqrt{10^{2}-4*3*5 } }{2*3}[/tex]
[tex]x_{1} =[/tex] [tex]\frac{10 + \sqrt{100-60} }{6}[/tex] [tex]x_{2} =[/tex] [tex]\frac{10 - \sqrt{100-60} }{6}[/tex]
[tex]x_{1} =[/tex] [tex]\frac{10 + \sqrt{40} }{6}[/tex] [tex]x_{2} =[/tex] [tex]\frac{10 - \sqrt{40} }{6}[/tex]
[tex]x_{1} =[/tex] [tex]\frac{10 + 2\sqrt{10} }{6}[/tex] / 2 [tex]x_{2} =[/tex] [tex]\frac{10 - 2\sqrt{10} }{6}[/tex] / 2
[tex]x_{1} =[/tex] [tex]\frac{5 + \sqrt{10} }{3}[/tex] [tex]x_{2} =[/tex] [tex]\frac{5 - \sqrt{10} }{3}[/tex]
in the coordinate plain the point located at (-3,4) was reflected and is now located at (3,4). how was the point reflected
Answer:
they reflect thru the y-axis
Step-by-step explanation:
if you subtract 17 from my number and multiply the difference by -6 the results is -138 what is Sarah's number
Answer:
40
Step-by-step explanation:
let the unknown be y (x is used as times(multiplication) )
(y-17)x-6=-138
add /-6 to both sides
y-17x-6/-6=-138/-6
y-17=23
make y independent/add 17 to both sides
y-17+17=23+17
y=40
or in an easier way
-138/-6 =23
23+17=40
simply reversing the question to get the answer
Triangle PQR IS SIMILAR TO Triangle KLM.
What is the value of x in inches?
A 7 in.
B 148 in.
C 92 in.
D 168 in.
Identify each part in the expression below. will give brainliest
Answer:
smalls
Step-by-step explanation:
Each bracelet needs 7_2/3 inches of string. If Samantha is making 4 bracelets, how many inches of string does she need?
Answer:
30.667 inches of string
Step-by-step explanation:
Find the errors and correct the following mathematical sentences.
Answer:
Step-by-step explanation:
18). 3x + 2 ÷ 3x = [tex]\frac{2}{3x}[/tex]
Since, 3x + 2 ÷ 3x = 3x + [tex]\frac{2}{3x}[/tex]
Therefore, right hand side of the equation will be = 3x + [tex]\frac{2}{3x}[/tex]
20). [tex]\frac{4x+3}{3}=x+1[/tex]
Since, [tex]\frac{4x+3}{3}=\frac{4x}{3}+\frac{3}{3}[/tex]
= [tex]\frac{4}{3}x+1[/tex]
Therefore, right hand side of the equation should be [tex]\frac{4}{3}x+1[/tex].
Please help will give brainliest
Answer:
25 is the area because5 times 5 equals 25
Step-by-step explanation:
hope this helps
Answer:
25
Step-by-step explanation:
please help me i really need help please
Answer:
39°
Step-by-step explanation:
180-90-51=39
Answer:
its 39
Step-by-step explanation:
you know that a right triangle already has the angle 90 so 51 plus 90 equals 141
180-141=39
Please help me I don’t get it
Answer:
The number is 4
Step-by-step explanation:
We set up the equation given the conditions listed. Since it says 5 times the difference between a number and 7, we can use x as a placeholder for the number.
(x-7) is the difference between the number and 7. The question asks for 5 times that difference thus we multiply the entire thing by 5 giving us 5(x-7. The question says that it all equals -15 so we set that expression equal to -15.
Thus we get the equation and solve:
5(x-7)= -15 (distributive property)
5x-35= -15 (add 35 to both sides)
5x=20 (divide by 5)
x=4; so the number is 4
On the Celsius scale, what does O represent?
a. the theoretical coldest possible temperature
b. an arbitrary number based on its inventor's freezer
c. the freezing point of water
d. the natural temperature of brine
Answer:
The answer is C.
Step-by-step explanation:
I just took the test on edg.
Answer:
c. freezing point of water
Step-by-step explanation:
did on edge 2021
Please find the area of of the shaded polygon
Answer:
8
Step-by-step explanation:
A grocery store counts the number of customers who arrive during an hour. The average over a year is 10 customers per hour. Assume the arrival of customers follows a Poisson distribution. (It usually does.) Find the probability that at least one customer arrives in a particular one minute period. Round your answer to 3 decimals. Find the probability that at least two customers arrive in a particular 4 minute period. Round your answer to four decimals.
Answer:
0.1535 = 15.35% probability that at least one customer arrives in a particular one minute period.
0.1443 = 14.43% probability that at least two customers arrive in a particular 4 minute period.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Find the probability that at least one customer arrives in a particular one minute period.
The average is of 10 customers per hour(60 minutes), so for this case, [tex]\mu = \frac{10}{60} = \frac{1}{6}[/tex]
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-\frac{1}{6}}*(\frac{1}{6})^{0}}{(0)!} = 0.8465[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8465 = 0.1535[/tex]
0.1535 = 15.35% probability that at least one customer arrives in a particular one minute period.
Probability that at least two customers arrive in a particular 4 minute period.
The average is of 10 customers per hour(60 minutes), so for this case, [tex]\mu = \frac{10*4}{60} = \frac{4}{6} = \frac{2}{3}[/tex]
This probability is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-\frac{2}{3}}*(\frac{2}{3})^{0}}{(0)!} = 0.5134[/tex]
[tex]P(X = 1) = \frac{e^{-\frac{2}{3}}*(\frac{2}{3})^{1}}{(1)!} = 0.3423[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.5134 + 0.3423 = 0.8557[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.8557 = 0.1443[/tex]
0.1443 = 14.43% probability that at least two customers arrive in a particular 4 minute period.
Penny makes 5 liters of applesauce. She saves 0.24 liter for dinner and puts the rest in jars. If each jar holds 0.68 liter, how many jars can she fill?
Answer:
Penny can fill eight jars.
Answer:
Penny can fill 8 jars.
Step-by-step explanation:
Step one: Multiply the divisor by a power of 10 to make it a whole number. Then, multiply the dividend by the same power of 10. Step two: Write the decimal point in the quotient above the decimal point in the new dividend. Step three: Divide!
Can you help me please it has to be harry potter and the philosopher's stone movie
Answer and Step-by-step explanation:
Divide each side by 2.
x [tex]\geq[/tex] 5
This is the correct answer for getting the x by itself.
#teamtrees #PAW (Plant And Water)
Answer:
4
Step-by-step explanation:
2x10=20
I think...
An article summarized data from a survey of a random sample of a certain number of U.S. adults with investments of $10,000 or more. Based on the survey data, it was estimated that 38.5% of investors manage their investments by doing everything they possibly can online. But the authors of the article also noted that there was quite a difference between younger investors (ages 18 to 49) and older investors (ages 50 and older). For younger investors, 63% said they do everything they possibly can online, while the percentage for older investors was 28%.
A) Use the given information to estimate P(O), POLY), and P(OF) where 0 = event that a randomly selected Investor does everything possible online, Y = event that a randomly selected Investor is age 18 to 49, and F = event that a randomly selected investor is 50 years old or older.
B) Suppose that 40% of investors are between the ages of 18 and 49. Use the probabilities from part (a) and the estimate P(Y) = 0.40 to construct a hypothetical 1,000 table.
Y F Total
0
Not 0
Total 1,000
Use information in the table to calculate P(YO).
Which of the following sentences properly interprets this value in the context of this exercise?
A. The probability, given that a randomly selected investor is age 50 or older, that the investor does everything possible online is PLYO).
B. The probability, given that a randomly selected investor is age 18 to 49, that the investor does everything possible online is P(710).
C. The probability, given that a randomly selected investor does everything possible online, that the investor is age 50 or older is P(YO).
D. The probability, given that a randomly selected investor does everything possible online, that the investor is age 18 to 49 is Ayo).
E. The probability that the selected investor is age 18 to 49 is P(YO).
Answer:
Based On The Survey Data, It Was Estimated That 36% Of Investors Manage Their Investments By Doing Everything They Possibly Can Online. But The Authors Of The Article Also Noted That There Was A Quite A Difference Between . ... random sample of a certain number of U.S. adults with investments of $10,000 or more.
Step-by-step explanation:
Please make me brainiest
10. Find the volume of the prism.
3 ft
7 ft
2 ft
8increase by 3 times a number (t).
Answer:
8 + 3n
Step-by-step explanation:
Answer:
8 + 3t
Explanation:
Robin made a cuboid of plasticine. Length, breadth, and height of the cuboid are
3 cm, 2cm, 3 cm respectively. How many such cuboids will he need to make a
perfect cube?
will need 18cm^3
Step-by-step explanation:
volume of cuboid = length × base × height
so v= 3cm ×2cm×3cm
v=18cm^3
The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 47 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 47 and 68
Answer:
The approximate percentage of lightbulb replacement requests numbering between 47 and 68 is 49.85%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 47
Standard deviation of 7
What is the approximate percentage of lightbulb replacement requests numbering between 47 and 68?
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% of the above.
Between 47 and 68:
68 = 47 + 7*3
So 68 is three standard deviations of the mean.
Of the 50% above the mean, approximately 99.7% are between the mean of 47 and 3 standard deviations above the mean, which is 68. So
0.5*0.997 = 0.4985
0.4985*100 = 49.85%
The approximate percentage of lightbulb replacement requests numbering between 47 and 68 is 49.85%.
A mother bottlenose ate about 220 pounds of food in one week. About how much food did she eat in a day?
She ate about
pounds of food in a day.
How many bags of topsoil does Betsy need to cover her flower bed?
Answer:
3 bags of topsoil is needed
Step-by-step explanation:
base = 20m
height = 6 m
Area of flower bed = [tex]\frac{1}{2}*base*height\\[/tex]
[tex]= \frac{1}{2}*20*6\\\\= 10*6\\= 60 square feet[/tex]
Number of bags= Total area of flower bed ÷ 20
= 60 ÷ 20
= 3
Justin has $7.50 more than Eva, and Emma has $12 less than Justin. Together, they have a total of $63.00. How much money does each person have?
i only have 5 min help fast
Answer:
To make it easier, lets say Justin = J, Eva = E, and Emma = M. Then, J = E + 7.50 M = J -12 J + E + M = 63 You can substitute for M in the third equation using the second equation, and you get: J + E + J - 12 = 63 Clean it up a little bit and you get: 2J + E = 75 You know J = E + 7.50, so substitute that for J and you get: 2(E + 7.50) + E = 75 2E + 15 + E = 75 3E + 15 = 75 3E = 60 E = 20 ; meaning that Eva has $20. Justin has $7.50 more than Eva, so he has $27.50. Emma has $12 less than Justin, so Emma has $15.50. Double check your answer by making sure they all add up to 63, which they do.
Which of the following graphs are identical?
Answer:
second part is a,c,d
Answer: they are correct
Step-by-step explanation:
correct
7% interest on a loan of $800 for a year. how much will you receive?
Answer:
$56
Step-by-step explanation:
Here's an easy way to figure out this and any percentage question. One per cent (1 dollar out of $100) of $800 would be $8. So, if the man received 7 per cent out of $800, then just multiply $8 times 7, which is 56...so $56!
Hope it helps
Please mark me as the brainliest
Thank you
Step-by-step explanation:
Here's an easy way to figure out this and any percentage question. One per cent (1 dollar out of $100) of $800 would be $8. So, if the man received 7 per cent out of $800, then just multiply $8 times 7, which is 56...so $56
A brick measures 15 cm in length, 8 cm in breadth and 5 cm in height. How many bricks will be used to make a wall of length 15 cm, breadth 10 cm and height 8 cm
1. 2 bricks
2. 5 bricks
3. 9bricks
4. 4bricks
Answer:
2bricks
Step-by-step explanation:
volume of cuboid = length × breadth ×height
step 1 : calculate the first one
v= 15cm ×8cm× 5cm = 1200cm^3
step 2 calculate the 2nd one
v= 15cm ×10cm×8cm = 600cm^3
number of bricks
1200cm^3 × 1bricks/ 600cm^3 = 2 bricks
Find the circumference of the circle.
Answer:
25.12ft
Step-by-step explanation:
C=2πr
C = 2(3.14)(4)
C = 25.12ft
Answer:
25.12
Step-by-step explanation:
The circumference of a circle is equal to [tex]2\pi r[/tex]. So, to find the circumference plug in 4 for r and solve the expression. [tex]2\pi 4[/tex], where [tex]\pi[/tex] equals 3.14 is 25.12.
Which graph represents the function f (x) = 3 x minus 2 Over x minus 2?
Answer:
C
Step-by-step explanation:
Each of the four graphs represents a function. Which function has an inverse that is also a function?
8
40
6
6
4
+
-8
-6 -4
4
-8
-6
-2
-2
-4
6
8
-4
-6
-6
-8
Ο Α
Ов
x
8
8
x
8
-8
-6
-4
6
-8
-6-4
6
8
U
-4
4
6
с
D
Answer124
Step-by-step explanation:
Answer: The answer is C
Step-by-step explanation: Graph C passes the horizontal line test and becomes a function as the horizontal line does not cut the curve more than once along any line drawn.
Also, the curve passes the vertical line test as well, if a vertical is drawn, it does not cut the curve more than once if drawn any where vertically.
Thus, graph C passes both the horizontal and vertical line test. So the curve has both function and inverse function.
The dot plot shows the number of books Melanie's classmates have read. Approximately what percent of Melanie’s classmates have read more than 7 books
Answer:
.30
Step-by-step explanation:
please help what is the value of
tan^2(180-tetha)
Answer:
1/cos^2(180-theta) - 1
Step-by-step explanation:
According to trigonometry identity
tan^2 theta + 1 = sec^2 theta
tan^2 theta = sec^2 theta - 1
hence tan^2(180-tetha) = sec^2 (180 -theta) - 1
tan^2(180-tetha) = 1/cos^2(180-theta) - 1
Hence the value of tan^2(180-tetha) is 1/cos^2(180-theta) - 1