Answer:
The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.
Step-by-step explanation:
Let [tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex], roots are those values of [tex]t[/tex] so that [tex]h(t) = 0[/tex]. That is:
[tex]19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0[/tex] (1)
Roots are determined analytically by the Quadratic Formula:
[tex]t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}[/tex]
[tex]t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex]
The smaller root is [tex]t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex], and the larger root is [tex]t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex].
[tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex] has one real root when [tex]\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0[/tex]. Then, we solve the discriminant for [tex]k[/tex]:
[tex]\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}[/tex]
[tex]k \approx \pm 0.028[/tex]
The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.
Help plz:)))I’ll mark u Brainliest
6/2 or 3/0 I dont know if this is right I'm really not sure but the sums look right except for the fact that you can simplify down to 3/0 overall I think its ok
Step-by-step explanation:
39+24+33 = 96
11+13+8 = 32
96/32 simplified down = 6/2 = 3/0
2x + 8=12 what is the value of 4x + 2
Answer:
2x + 8 = 12
x = 2
4x = 2 = 10
Step-by-step explanation:
Triangle ABC is shown below. Which point is the coordinate of the image of
Step-by-step explanation:
there is no image how am I supposed to solve it
Answer:
The answer is C.
Step-by-step explanation:
Hope this helps :)
What is the sample space of rolling a 6 sided number cube? SELECT ALL THAT APPLY
1
2
3
4
5
6
Answer:
Its all of them or just 6
Step-by-step explanation:
Please I really need help on this one
Answer:
r=
[tex]r = \frac{d}{2} \\ r = \frac{5}{2} \\ r = 2.5cm[/tex]
Write the correct name for each of the following polygons.
Answer:
a. Pentagon (The figure has 5 sides.)
b. Triangle (The figure has 3 sides.)
c. Hexagon (The figure has 6 sides.)
d. Hexagon (The figure has 6 sides.)
Step-by-step explanation:
PH
Identify the slope and y- intercept y=2x + 2
Answer:
Slope:2
Y-int:2
Step-by-step explanation:
y=m(slope)x+b(y-int)
Answer:
Slope is 2, Y-intercept is 2
Step-by-step explanation:
Point-slope form is y=mx+b
m=slope
b=y-intercept
Hope this helped.
can u pls help me with this question asap
Answer:
$14670
Step-by-step explanation:
Selling price of the house = $326000
Commission rate of the agency = 4.5%
Commission amount earned by the agency = 326000 × 0.045
= $14670
Commission rate of the agent = 20% of commission earned by the agency
= [tex]\frac{20}{100}\times 14670[/tex]
= $2934
Therefore, agency made $14670 on the house.
A bowl holds the 10 pieces of fruit shown below.
If Jasmine writes the fraction of fruit that are apples and does not reduce the fraction, which of the following would be the numerator of the fraction?
Answer: 10
Step-by-step explanation: 10 is the total number of all the fruits so that is what you are dividing by
Answer:
Step-by-step explanation:
Do this very simple equation for monE
Answer:
Were my money?
Step-by-step explanation:
May I have brainliest please I'm trying to level up!
</3 PureBeauty
an industry representative claim that 60% of all satellite owners subscribers movie channel. suppose that representative’s claim is true and also suppose that 20 dish owners are randomly selected. find the probability that: (i) none of the dish owners subscribes movie channel (ii) exactly 3 dish owners subscribe movie channel (iii) more than 17 dish owners subscribe movie channel.
Answer:
1.099 * 10^-8 ; 4.23 * 10^-5 ; 0.0036
Step-by-step explanation:
Given :
p = 0.6
Sample size, n = 20
P(x = 0)
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
1 - p = 1 - 0.6 = 0.4
P(x = 0) = 20C0 * 0.6^0 * 0.4^20
P(x = 0) = 1 * 1 * 1.099511627776E−8
P(x = 0) = 1.099 * 10^-8
2) Exactly 3;
P(x = 3) = 20C3 * 0.6^3 * 0.4^17
P(x = 3) = 1140 * 0.216 * 0.00000017179869184
P(x = 3) = 0.0000423037098786816
P(x = 3) = 4.23 * 10^-5
3.) More than 17
P(x > 17) = P(x = 18) + P(x = 19) + P(x = 20)
Using calculator :
P(x > 17) = 0.0036
A cash register contains $10 bills and $50 bills with a total value of $1080. If there are 28 bills total, then how many of each does the register contain?
Answer:
20 $50 bills
8 $10 bills
Step-by-step explanation:
Find how many $10 and $50 bills are in the cash register.
Make a systems of equations:
t = Amount of $10 bills
f = Amount of $50 bills
10t + 50f = 1080
t + f = 28
Lets solve for $50 bills first:
10t + 50f = 1080
-10(t + f = 28) = -10t - 10f = -280
----------------------
Solve for f:
10t + 50f = 1080
-10t - 10f = -280
40f = 800
Divide both sides by 40.
f = 20
There are 20 $50 bills.
Now we need to find how many $10 bills are in the register.
Plug in 20 to "f" in one of the equations and solve for "t".
Solve:
t + 20 = 28
Subtract 20 from both sides.
t = 8
There are 8 $10 bills.
Your answer should be:
20 $50 bills
8 $10 bills
Look in the document
write the standard number 723,600 in scientifict notation
Answer:
723,600 = 7.236 × [tex]10^{5}[/tex]
Step-by-step explanation:
Scientific notation is a way to express numbers in a form that makes numbers that are too small or too large more convenient to write. It is commonly used in mathematics, engineering, and science, as it can help simplify arithmetic operations.
who knows this answer ?!!
Answer:
D is the answer
Step-by-step explanation:
twice as many children is 24 because 12x2 is 24
A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion of those who make a donation when contacted by phone is known to be p=0.05. For samples of size 100, which of the following best interprets the mean of the sampling distribution of the sample proportion of people who make a donation when contacted by phone?
a. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.05.
b. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.07.
c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
d. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.07.
e. The probability that the mean of the sampling distribution of sample proportions is greater than 0.07 is 0.05.
Answer: c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
Step-by-step explanation:
Mean of the sampling distribution of the sample proportion = p (Population proportion.)
Here, the population proportion of those who make a donation when contacted by phone is known to be p=0.05.
Then, Mean = p = 0.05
Hence, the correct option is
c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
This question is based on the concept of statistics. Hence, the correct option is (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
Given:
A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion p=0.05. For samples of size 100.
According to the question,
Mean of sampling distribution of the sample proportion = p (Population proportion.)
It is given that, the population proportion of those who make donation when contacted by phone is known to be p=0.05.
Thus, Mean = p = 0.05
Hence, the correct option is (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
For more details, prefer this link:
https://brainly.com/question/10211620
4x< 20; x = 20
can you show me the work?
Answer:
Step-by-step explanation:
Here you go mate
Step 1
4x<20 Equation/Question
Step 2
4x<20 Simplify
4x<20
Step 3
4x<20 Divide by 4
answer
x<5
help ....................................................
Answer:
i think it's the subtraction one
Step-by-step explanation:
because if you find out what b is maybe you will get 2 1/2
A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The State University wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools.
a) They select a random sample of 500 applications, and find that 46 of those students attend private schools. Check the conditions required for inference. (3 marks)
b) Create the 90% confidence interval. (6 marks)
c) Interpret the confidence interval in the context of the problem. (3 marks)
d) Should the admissions officers conclude that the percentage of private school students in their applicant pool is lower than the statewide enrollment rate of 12%? Explain. (2 marks)
Answer:
a) p*n = 46 and q*n = 454 data is enough for inference
b) CI = ( 0,099 ; 0,141)
c) CI we will find with 90% of confidence the value of p in that interval
d) No, we accept H₀ we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education
Step-by-step explanation:
Information from A state´s Department of Education is:
p₀ = 12 % p₀ = 0,12
The State University sample:
Sample size n = 500
Sample proportion 46 out of 500
p = 46/500 p = 0,092 then q = 1- p q = 1 - 0,092 q = 0,908
Both p*n = 46 and q*n = 454
a) Are big enough to approximate the binomial distribution to normal distribution
b) CI = 90% CI = 0,9 significance level α = 0,10 for an CI we need
α/2 = 0,10/2 α/2 = 0,05
z(c) = - 1,64 ( from z-table)
MOE = z(c)*√(p*q)/n
MOE = 1,64 * √ ( 0,092*0,908)/500
MOE = 1,64 *√0,08353/500
MOE = 1,64 * 0,0129
MOE = 0,021
Then CI = 90 % is:
CI = ( 0,12 - 0,021 < P < 0,12 + 0,021 )
CI = ( 0,099 ; 0,141)
We have with 90 % of confidence for finding the value of p in the interval
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
we have for α = 0,1 z(c) = - 2,32 from z table
And z(s) = ( p - p₀ ) / √ (p*q)/n
z(s) = ( 0,092 - 0,12 ) / √(0,092*0,908)/500
z(s) = - 0,028 / 0,0129
z(s) = - 2,17
Comparing z(s) and z(c) we see that
|z(s)| < |z(c)|
So z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education
6 cans of soup cost $12. Fill in the correct number over or under each hash mark. How much does one can of soup cost ?
Answer:
12 / 6 = $2
Step-by-step explanation:
Answer:
they each cost 2 dollors
Step-by-step explanation:
Divide the following complex numbers:
(3+ i) / (2-3i)
O A. - 3 - 1
O B. 1 3 - 1
}
C
9 11
+
13 13
D.
3 11
5
Answer:
Standard complex form 3/13 + 11/13i
Step-by-step explanation:
not sure if this helps
r(x)=2square root of x S(x)= square root of x (rs)(4)=
Answer:
[tex](rs)(4) = 8[/tex]
Step-by-step explanation:
Given
[tex]r(x) = 2\sqrt{x[/tex]
[tex]s(x) = \sqrt x[/tex]
Required
Determine [tex](rs)(4)[/tex]
In functions:
[tex](fg)(x) = f(x) * g(x)[/tex]
This implies that:
[tex](rs)(x) = r(x) * s(x)[/tex]
Substitute values for r(x) and s(x)
[tex](rs)(x) = 2\sqrt{x} * \sqrt{x}[/tex]
[tex](rs)(x) = 2(\sqrt{x})^2[/tex]
[tex](rs)(x) = 2x[/tex]
Substitute 4 for x
[tex](rs)(4) = 2 * 4[/tex]
[tex](rs)(4) = 8[/tex]
28) Solve the inequality: 12x−10>170
A. x>15
B. x<−90
C. x<−58
D. x<15
Answer:
p=5x+3y
solve for x, number of cupcakes. isolate x
5x=p-3y
divide by 5
x=(p-3y)/5
Step-by-step explanation:
D. x<15
PLEASEHELP!
ANSWER CHOICES:
A)189
B)329
C)161
D)84
Answer:
329
Step-by-step explanation:
How do the values compare? Order the values from least to greatest. 1/2 , 2 , 2 1/2 , -1/2 , 1 1/2 , 2 1/2
Answer:
First always the positive is greater than the negative
Then 1/2, 2, 21/2, 2, 11/2 are greater than - 1/2
1/2=0.5
21/2=10.5
11/2=5.5
Then from lowest to greatest
-1/2,1/2,2,11/2,21/2
I hope you understand
Write as a polynomial: 2a^2(a-1)(3-a)
Step-by-step explanation:
HI tkando45
To write as a polynomial, just multiply every term int he first parenth by every term in the second parentheses.
It is like distributing:
For Example
a2(a-4) - 2a(a-4) + 3(a-4)
a3 - 4a2 - 2a2 + 8a + 3a - 12
Now combine like terms:
a3 - 6a2 + 11a -12 <---- that is your polynomial
now use the above examples and calculate ur question
Angles in a triangle
Answer
1=62
2=45
3=24
Angle 1
1 plus 118 equals 180 degrees (because both of the angles combined creates a straight angle).
1+118=180
180-118=1
1=62
Angle 2
The angles in a triangle add up to 180 degrees.
You know that angle 1 is 62 degrees.
And the other angle is 73 degrees.
You can now find angle 2.
62+73+2=180
2=180-62-73
2=45
Angle 3
Angle three is in a different triangle.
You already know that the angles in a triangle added up are 180 degrees.
The other missing angle in the triangle can be found by subtracting 73 from 180.
180-73=107
Now you know that two of the angles in the triangle are 107 and 49.
You can now find angle 3.
107+49+3=180
3=180-107-49
3=24
What is the value of the expression ?
[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]
[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]
[tex]16 - 3 \times 5 {}^{1} [/tex]
[tex]16 - 3 \times 5[/tex]
[tex]16 - 15[/tex]
[tex]1[/tex]
HopeItHelps you
#CarryOnLearning
Dont have to graph it, just tell me the answers, I kinda need this now :v
Answer:
3/4(n)+1
3/4(8)+1=
6+1=7
3/4(12)+1=
9+1=10
3/4(14)+1=
10.5+1=11.5
3/4(20)+1=
15+1=16
I hope this helps:
Solve for x.
ASAP, please help me
Answer:
8
Step-by-step explanation:
180=90+40+6x+2
180=132+6x
48=6x
x=8
Answer:
x=4 i think havent done this in a long time
Step-by-step explanation: