The roots of the equation are imaginary numbers, 5+6i, 5-6i.
What is a Quadratic Equation?A quadratic equation is what can be written in the form of ax²+bx+c=0
The quadratic equation is
x² -10x = -34
x² -10x +34 = 0
The roots formula for a quadratic equation is given by
[tex]x = \dfrac{ -b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
Here a = 1
b = -10
c = 34
The roots of the equation are
[tex]x = \dfrac{ 10 \pm \sqrt{(-10)^2 -4*34}}{2}[/tex]
[tex]\rm x = \dfrac{ 10 \pm \sqrt{-36}}{2}\\\\\\x = 5 \pm 6i[/tex]
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You have made a profit of $32 per share on a stock. Given, you sold 2,000 shares of the stock, how much profit did you make?
Answer:
$64,000
Step-by-step explanation:
Number of shares times the profit per share equals total profit.
2000 * 32 = 64,000
Which of the following are exterior angles? Check all that apply.
The answer is A, D, and F.
We have given that the following are exterior angles.
What is the exterior angle?
The angle between a side of a polygon and an extended adjacent side. an angle formed by a transversal as it cuts one of two lines and is situated on the outside of the line.
Therefore, The answer is A, D, and F.
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Answer: D, F
Step-by-step explanation:
The answer is D: <2 and F: <4
8x+15 =2 (4x)
im on a test please help
Answer:
Impossible
Step-by-step explanation:
the answer is 8x so you have 15 on limbo
lol
............ ............ .....
The mean of four numbers is 2.6
One of the four numbers is 5
Find the mean of the other three numbers.
Answer:
Step-by-step explanation:
the "mean" just means the "average"
So if the average of four numbers = 2.6
To find the total of the four numbers, you would multiply 2.6 by 4.
2.6 x 4 = 10.4
One of the four numbers is 5. (given in the question)
This means that the total of the remaining three numbers is:
10.4 - 5 = 5.4
Then divide 5.4 by 3 to find the average of the 3 numbers.
Mean of the other 3 numbers = [tex]\frac{5.4}{3}[/tex] = ?
. 20% of the people at a restaurant selected Chinese food. If 40 people did not select
the Chinese food then how many people were eating in the restaurant?
Answer:
Depends
Step-by-step explanation:
50
Answer:
50 people
Step-by-step explanation:
Paul’s dog weighs 12 pounds more that Issac’s dog. Together they weigh 50 pounds. How much does Issac dog weigh ???
Answer:
Issac's dog weighs 19 pounds
Step-by-step explanation:
Let x be Issac's dog's weight
Translate the problem into an algebraic expression: x + (x + 12) = 50Simplify: 2x + 12 = 50Subtract 12 from each side, so it now looks like this: 2x = 38Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 19I hope this helps!
Evaluate 3XG for G =9
Find the slope of the line that passes through the points: (1, 1) and (7, 5) . If you get stuck , try plotting the points on graph paper and drawing the line through them with a ruler.
Answer:
2,3
Step-by-step explanation:
The slope of the line that passes through points (1, 1) and (7, 5) is 2/3.
What is slope ?Slope is a notation that shows that a surface of which one end or side is at a higher level than another surface.
The formula for slope of a line that passes through two points (x₁.y₁) and (x₂,y₂) is,
y₂ - y₁ = m(x₂ - x₁)
The given points are, (1, 1) and (7, 5).
The slope of the line is given by formula m = (y₂-y1)/(x₂-x₁)
m= (5-1)/(7-1)
m = 4/6
m = 2/3
The slope of the line that passes through points (1, 1) and (7, 5) is 2/3.
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Which function is graphed below? pls help
Answer:
its b Brother
Step-by-step explanation:
I need help plz mark brainliest
Answer:
Yes, No, No, Yes
Step-by-step explanation:
Answer:
A.) No
B.) No
C.) No
D.) Yes
Step-by-step explanation:
I just did it a month ago.
will give brainlist
Answer:
B is the correct answer I the math hopes this helped!
WILL MARK BRAINLIEST PLEASE HELP!!!!!!!!! Find the value of the expression: 2c2+3 for c=–11; 0; 15
Answer:
c = -11
expression value = 245
c = 0
expression value = 3
c = 15
expression value = 453
Step-by-step explanation:
Given expression = [tex]2c^2 + 3[/tex]
for c = -11 , we put c in place of c in given expression
[tex]2(-11)^2 + 3 = 2(121) + 3 = 242 + 3 = 245[/tex]
for c= 0
[tex]2(0)^2 + 3 = 2(0) + 3 = 0 + 3 = 3[/tex]
for c = 15
[tex]2(15)^2 + 3 = 2(225) + 3 = 450 + 3 = 453[/tex]
Devon made a scale drawing of a triangle. He used a scale factor of [tex]\frac{1}{4}[/tex] to draw the new triangle. How does each side of the new triangle compare to the original?
A) Each side of the new triangle is [tex]\frac{1}{4}[/tex] the length of each side of the original
B) Each side of the new triangle is [tex]\frac{1}{12}[/tex] the length of each side of the original
C) Each side of the new triangle is 4 times the length of each side of the original
D) Each side of the new triangle is 12 times the length of each side of the original
Answer:
D
Step-by-step explanation:
Step-by-step explanation
Answer: D:))
I took the test
HELP PLEASE , ASAP ; 100 POINTS
Answer:
icoles
Step-by-step explanation:
Answer:
It's 31x
Step-by-step explanation:
Add the numbers up.
Which of the following is a valid conclusion based on the Venn diagram?
A.
If a pet is not a dog, then it is a beagle.
B.
If a pet is a dog, then it is a beagle.
C.
If a pet is a beagle, then it is a dog.
D.
If a pet is a dog, then it is not a beagle.
Answer:
C
Step-by-step explanation:
A beagle is a dog but not all dogs are beagles.
2.) state the equation for y
Answer:
y = 2^(x - 4)
Step-by-step explanation:
f(g(x)) = f(x - 4) = 2^(x - 4)
Which is the graph of y=x^2-4x+4?
What is 5.389 rounded to the nearest hundredth
Answer:
To round 5.389 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part. We use the following rules to round 5.389 to the nearest hundredth: A) If the last digit in the fractional part of 5.389 is less than 5, then simply remove the last the digit of the fractional part.
Step-by-step explanation:
OHHHHHHHHHHHHHH WHO LIVES IN A PINEAPPLE UNDER THE SEA _______?
Answer:
Sponge Bob Square Pants!
Absorbent and yellow and porous is he.
Sponge Bob Square Pants!
If nautical nonsense be somethin' ya wish.
Sponge Bob Square Pants!
Then drop on the deck and flop like a fish.
Sponge Bob Square Pants!
Ready?
Sponge Bob Square Pants,
Sponge Bob Square Pants,
Sponge Bob Square Pants,
Sponge Booob Square Paaants!
Ah Ha Ha, Ha Ha Ha, Ha, hArgh wh..arire..Ha arrrigh.
Step-by-step explanation:
Which expression results in a rational number?
Answer:
A
Step-by-step explanation:
It resluts in 4
3 /10 4/ 8 which one is bigger?
Answer:
4/8
Step-by-step explanation:
3/10 is 0.30 and 4/8 is 0.5
The data on the right represent the number of traffic fatalities by seat location and gender. Determine P() and P(|). Are the events "" and "" independent? Total Total Determine P(). P() . 318 (Round to three decimal places as needed.) Determine P(|). P(|) . 264 (Round to three decimal places as needed.) Are the events "" and "" independent? A. Yes. The occurrence of the event "" affects the probability of the event "." B. No. The occurrence of the event "" affects the probability of the event "." C. No. The occurrence of the event "" does not affect the probability of the event "." D. Yes. The occurrence of the event "" does not affect the probability of the event "."
Answer:
The probability of selecting a male is 0.3151.
The events "male" and "driver" are not independent.
The correct option is B.
Step-by-step explanation:
The missing data is as follows:
Female Male Total
Driver 32759 11715 44474
Passenger 6534 6361 12895
Total 39293 18076 57369
The complete question is:
Determine P(male) and P(male|driver). Are the events "male" and "driver" independent?
Solution:
Compute the probability of selecting a male as follow:
[tex]P(M)=\frac{n(M)}{N}=\frac{18076 }{57369}=0.3151[/tex]
Thus, the probability of selecting a male is 0.3151.
Compute the probability of selecting a male given that he is a driver as follows:
[tex]P(M|D)=\frac{P(M\cap D)}{P(D)}=\frac{n(M\cap D)}{n(D)}=\frac{11715 }{44474}=0.2634[/tex]
Two events, say A and B, are independent if:
P (A|B) = P(A)
Here, P (M|D) ≠ P (M)
Thus, the events "male" and "driver" are not independent.
P(female)= .317
Determine P(femaleIpassenger)= .264
No. The occurrence of the event
"passenger" affects the probability of the event "female."
One half of a is 14 more than 2 times the number.find the number?
Answer:
Let n represent the number
One half of a number= ½ n
Now, the equation will be=
½ n =14+2n
On multiplying both sides by 2, we obtain
n=2(14+2n)
n=28+4n
On subtracting 4n from both the sides,we obtain
n-4n=28
-3n=28
On dividing both sides by -3, we obtain
n= -28/3
Step-by-step explanation:
Hope this helps you
Mark me as brainliest
Olivia chose 10/21 . How did she get that answer?
Simplify the fraction
198/264
as much as possible
Answer:
What is 198/264 Simplified?
3/4 is the simplified fraction for 198/264.
Step-by-step explanation:
Answer:
3/4.
Step-by-step explanation:
Find the prime factors:
198 = 2 * 99
99 = 3 * 3 * 11
So 198 = 2 * 3 * 3 * 11.
264 = 4 * 66 = 2 *2 * 66
66 = 2 * 3 * 11
So 264 = 2 * 2 * 2 * 3 * 11.
Now we find the Greatest common factor os the 2 numbers:
It is 2 * 3 * 11 = 66.
Therefore we can now simplify the fraction:
198/66 / 264/66
= 3/4.
What is the value of x? Round to the nearest tenths place.
Answer:
ok x should be 30
Step-by-step explanation:
27=p(1+r3) solve for r
p = 27
r = 0
p(1+r3) = 27
27(1+0(3)) = 27
27(1+0) = 27
27(1) = 27
27 = 27
T-shirts
$7.50
Shorts
$9.00
Windbreakers
$12.25
If she will buy 35 T-shirts, 45 pairs of shorts, and 25 windbreakers, what will be her total cost?
$958.75
$973.75
$1,021.25
$1,038.75
Answer:
$973.75
Step-by-step explanation:
7.50x35=262.5
45x9.00=405
25x12.25=306.25
If you add all the sums together you would get $973.75
Dante rode his bike a mile in 5 minutes. At that rate, how many miles can he ride in an hour?
Answer:
Step-by-step explanation:
direct proportion
1mile in 5 minutes
xmiles in 60 minutes
cross multiply
60/5=12 miles
Answer:
12 miles
Step-by-step explanation:
1×12=12 a clock has 60 minutes per hour 60÷5=12 12×1=12
Functionally important traits in animals tend to vary little from one individual to the next within populations, possibly because individuals who deviate too much from the mean have lower fitness. If this is the case, does variance in a trait rise after it becomes less functionally important? Billet et al. (2012) investigated this question with the semicircular canals (SC) of the three-toed sloth (Bradypus variegatus). The authors proposed that since sloths don't move their heads much, the functional importance of SC is reduced, and may vary more than it does in more active animals. They obtained the following measurements of the ratio of the length to width of the anterior SC in 6 sloths. Assume this represents a random sample. In other, more active animals, the standard deviation of this ratio is 0.09.
Answer:
The 95% confidence interval for the standard deviation is (0.14, 0.54).
Step-by-step explanation:
The complete data and question is:
Sloth CW Ratios ; {1.5 , 1.09 , 0.98 , 1.42 , 1.49 , 1.25}
The 95% confidence interval for the standard deviation of this data is < σ < (two decimals - include the leading zero) .
Solution:
Compute the sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{6}\times 7.73=1.2883\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{6-1}\times 0.2387}=0.2185[/tex]
The (1 - α)% confidence interval for the variance is:
[tex]CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}<\sigma^{2}<\frac{(n-1)s^{2}}{\chi^{2}_{1-\alpha/2}}[/tex]
Confidence level = 95%
⇒ α = 0.05
The degrees of freedom is,
df = n - 1 = 6 - 1 = 5
Compute the critical values of Chi-square:
[tex]\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.025,5}=12.833\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{0.975,5}=0.831[/tex]
*Use a Chi-square table.
Compute the 95% confidence interval for the variance as follows:
[tex]CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}<\sigma^{2}<\frac{(n-1)s^{2}}{\chi^{2}_{1-\alpha/2}}[/tex]
[tex]=\frac{5\times (0.2185)^{2}}{12.833}<\sigma^{2}<\frac{5\times (0.2185)^{2}}{0.831}\\\\=0.0186<\sigma^{2}<0.2873\\\\=\sqrt{0.0186}<\sigma<\sqrt{0.2873}\\\\=0.1364<\sigma<0.5360\\\\\approx 0.14<\sigma<0.54[/tex]
Thus, the 95% confidence interval for the standard deviation is (0.14, 0.54).
