Answer:
49
Step-by-step explanation:
x^2-14x+c
Take the coefficient of x
-14
Divide by 2
-14/2 = -7
Square it
(-7)^2
49
This is the number you add
Round 478.54 to nearest tenth
Answer:
478.5
Step-by-step explanation:
The 4 is less than 5 so it rounds down.
Answer:
478.5
Step-by-step explanation:
Please help me you’ll be a lifesaver These are pretty easy
Answer:
B
Step-by-step explanation:
Answer:
I think the answer is A. 1/72 Hopefully this helps! and hopefully this is correct!
A bond analyst is analyzing the interest rates for equivalent municipal bonds issued by two different states.
a) At α = 0.05, is there enough evidence to conclude that there is a difference in the interest rates paid by the two states?
State A:
Sample size 60
Mean interest rate (%) 3.2
Population variance .02
State B:
Sample size 60
Mean interest rate (%) 3.4
Population variance .05
Answer:
[tex]z=\frac{(3.2-3.4)-0}{\sqrt{\frac{0.141^2}{60}+\frac{0.224^2}{60}}}}=-5.85[/tex]
The p value can be calculated with this probability:
[tex]p_v =2*P(z<-5.85)=4.91x10^{-9}[/tex]
The p value for this case is a value very low and near to 0 so then we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different
Step-by-step explanation:
Information provided
[tex]\bar X_{1}=3.2[/tex] represent the mean for sample A
[tex]\bar X_{2}=3.4[/tex] represent the mean for sample B
[tex]\sigma_{1}=\sqrt{0.02}= 0.141[/tex] represent the sample standard deviation for A
[tex]s_{2}=\sqrt{0.05}= 0.224[/tex] represent the sample standard deviation for B
[tex]n_{1}=60[/tex] sample size for the group A
[tex]n_{2}=60[/tex] sample size for the group B
[tex]\alpha=0.05[/tex] Significance level provided
z would represent the statistic
Hypothesis to test
We want to verify if that there is a difference in the interest rates paid by the two states, the system of hypothesis would be:
Null hypothesis:[tex]\mu_{1}-\mu_{2}=0[/tex]
Alternative hypothesis:[tex]\mu_{1} - \mu_{2}\neq 0[/tex]
The statistic for this case since we know the population deviations is given by:
[tex]z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{(3.2-3.4)-0}{\sqrt{\frac{0.141^2}{60}+\frac{0.224^2}{60}}}}=-5.85[/tex]
The p value can be calculated with this probability:
[tex]p_v =2*P(z<-5.85)=4.91x10^{-9}[/tex]
The p value for this case is a value very low and near to 0 so then we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different
Can anyone figure this riddle out?
Answer:
i will explain :)
Step-by-step explanation:
there are three people. a grandfather, a father, and a son. the grandfather is the father of the father, and the father is the father of the son (if that makes any sense). the father is the son of the grandfather, and son is the son of the father. so technically while there are 2 sons and 2 fathers, there are still three people. :)
three people. a grandfather, a father, and a son.
What is the slope of the line
Answer:
the answer is b
Step-by-step explanation:
since rise over run
Answer:
You should be able to complete the solution from the guidance below.
Step-by-step explanation:
The slope is y2-y1 / x2-x1
The points from the graph are (0,3) and (-1.5,0)
What is the value of g(1⁄2) when g(x) = 2x2? What is the input? What is the output?
Answer:
[tex]g(\frac{1}{2}) = 0.5[/tex]
The input is [tex]x = \frac{1}{2}[/tex] and the output is [tex]g(x) = g(\frac{1}{2}) = 0.5[/tex]
Step-by-step explanation:
Suppose we have a function g(x) = a. The input is the value of x and the output is the value of g.
In this question:
[tex]g(x) = 2x^{2}[/tex]
We want g(1/2) = g(0.5). So
[tex]g(0.5) = 2*(0.5)^{2} = 2*0.25 = 0.5[/tex]
[tex]g(\frac{1}{2}) = 0.5[/tex]
The input is [tex]x = \frac{1}{2}[/tex] and the output is [tex]g(x) = g(\frac{1}{2}) = 0.5[/tex]
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = ln 5x, y = 4, y = 6, x = 0; about the y-axis
V =
Answer:
π∫52(ey3)2dy
The work I did to solve this equation:
Step 1
ln(3x)=2
3x=2e
x=2e3
Step 2
ln(3x)=5
3x=5e
x=5e3
Step 3
y=ln(3x)⟺ey=3x⟺ey3=x
Step 4
π∫52(ey3)2dy
What is equivalent to 84 1/4
Answer:
[tex] \frac{337}{4} [/tex]
Step-by-step explanation:
[tex]84 \frac{1}{4} = \frac{84 \times 4 + 1}{4} = \frac{336 + 1}{4} = \frac{337}{4} [/tex]
I neeed helppp please it is timed
C = π d
C = (22/7) × (35/2) = (22/2)(35/7) = 11(5) =55
Answer: 55, second choice
Step-by-step explanation:
It is the solution. Mark as brainlist.
Write an equation to represent the following statement. The quotient of 36 and 3 is j. Solve for j (I mark brainiest whoever asks)
Answer:
36 ÷ 3 = j
Step-by-step explanation:
The quotient of 36 and 3 is '36 ÷ 3'.
'Is j' would be '= j'.
Put it together, and you get:
36 ÷ 3 = j
'j = 12'
[tex]\frac{36}{3} = j\\\\\text {Divide the two numbers: }36/3 = 12\\\boxed {12=j}[/tex]
Brainiest Appreciated
Determine a region of the xy-plane for which the given differential equation would have a unique solution whose graph passes through a point (x0, y0) in the region. (x2 + y2)y' = y2
1. A unique solution exists in the region y ≥ x.
2. A unique solution exists in the entire xy-plane.
3. A unique solution exists in the region y ≤ x.
4. A unique solution exists in the region consisting of all points in the xy-plane except the origin.
5. A unique solution exists in the region x2 + y2 < 1.
Answer:
4. A unique solution exists in the region consisting of all points in the xy-plane except the origin.
Step-by-step explanation:
Given:
[tex] (x^2 + y^2)y' = y^2[/tex]
Solving the differential equation, we have:
[tex] \frac{dy}{dx} = \frac{y^2}{x^2 + y^2}[/tex]
Thus, except at (0,0), for all real values of x and y, the function[tex] \frac{y^2}{x^2 + y^2}[/tex] is defined.
The (0,0) values of x&y causes the denominator to be 0, so the function is not defined at this (0,0) condition.
Therefore,
[tex] \frac{d}{dy} \frac{y^2}{x^2 + y^2} = \frac{x^2 + y^2 (2y) - y^2 (2y)}{(x^2 + y^2)^2} [/tex]
[tex] = \frac{2x^2y + 2y^3 - 2y^3}{(x^2 + y^2)^2} [/tex]
[tex] = \frac{2x^2y}{(x^2 + y^2)^2} [/tex].
Apart from the point of origin (0,0), this is continuous.
This means a unique solution exists in the region consisting of all points in the xy-plane except the origin.
Two nickels are flipped and a number cube is rolled. How many total outcomes are there?
Answer:
2
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Coin # 1 - 2 outcomes
Coin # 2 - 2 outcomes
Number cube - 6 outcomes
Total outcomes: 2 x 2 x 6 = 24
However, if “heads and tails” is considered the same as “tails and heads” (order doesn’t matter):
Coins outcomes: 3
Cube outcomes: still 6
Total outcomes: 18
What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of
7ft, and a length of 4ft?
Answer:
476ft^3
Step-by-step explanation:
Base area =length × width
= 7 × 4 = 28ft^2
Volume = base area × height
= 28 × 17 = 476ft^3
Evaluate the expression 9P5
Answer:
45p
Step-by-step explanation:
9p(5)
9p*5=45p
Please let me know if this wasn't how your problem was suppose to look
Tina wrote the equations 3x-y=9 and 4x+y=5. What can Tina conclude about the solution to this system of equations?
(3, 2) is a solution to the system of linear equations.
(-2, 3) is a solution to the system of linear equations.
(2.-3) is a solution to the system of linear equations.
(3,-2) is a solution to the system of linear equations.
Answer:
Option (C)
Step-by-step explanation:
Solve by Graphing:
Use a graphing tool to graph the lines 3x-y=9 and 4x+y=5.
When graphed, the lines intercept at (2,-3).
Therefore, Tina can conclude that (2,-3) is a solution to the system of linear equations.
The required (2.-3) is a solution to the system of linear equations. Option C is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
3x-y=9 - - - -(1)
4x+y=5 - - - - (2)
Adding equations 1 and 2
7x = 14
x = 2
Now,
3(2) - y = 9
-y = 9 - 6
-y = 3
y = -3
Thus, the required solution of the given simultaneous equations are x = 2 and y = -3.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ2
i need help on this question
I think these are the answers:
a) 12 outcomes
b) 1/12
c) 1/6
The circumference of a hula hoop is 86 cm what is the radius of the hula hoop?
Formula for circumference that involves the radius ⇒ C = 2πr
Since we are given that the circumference is 86 cm, substitute it in.
86 = 2πr
Now, π is equal to approximately 3.14 so we can
plug 3.14 in for π and we have 86 cm = 2(3.14)r.
Now solve the equation.
2(3.14) is 6.28 and we have 86 cm = 6.28r.
Now divide both sides by 6.28 and we have 13.6942 = r.
So the radius of the hula hoop is 13.6942 cm.
Answer:
43
Step-by-step explanation:
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
In the attached file
what is (3.4) times 1,000
Answer:
3,400
Step-by-step explanation
Move the decimal place 3 times to the right (the number of zero's is how many places you go)
Answer:
3400
Step-by-step explanation:
3.4x 1,00=3400
Y−3=2(x+1) solve this
Answer:
Y-3 = 2(x+1)
open the brackets
Y-3 = 2x+2
Y = 2x+5..... this is the answer when solving for Y
if were solving for x:
Y-3 = 2x+5
Y-8 = 2x
[tex]\frac{y}{2} -4 = x[/tex]
-2x - x + 8 = ? a little help please!
Find the missing number based on the description below:
“12 less than 7 times a number is the same as 32 less than the product of -3 and the number”
Answer:
The number is -2
Step-by-step explanation:
12 less than 7 times a number can be express as follows,
let the number = a
7a - 12
According to the question the number 7a - 12 is equals to 32 less than the product of - 3 and the number.
32 less than the product of -3 and the number can be express below.
-3a - 32. Therefore,
7a - 12 = -3a - 32
collect like terms
7a + 3a = - 32 + 12
10a = -20
divide both sides by 10
a = -20/10
a = -2
The number is -2
Which statement about g(x)=x^2-576 is true
What is x if the equation is, 4 - (2x-3) = 3?
Answer:
x = 2
Step-by-step explanation:
4 - (2x-3) = 3
Distribute the minus sign
4 -2x+3 = 3
Combine like terms
7 -2x = 3
Subtract 7 from each side
7 -2x-7 = 3-7
-2x = -4
Divide by -2
-2x/-2 = -4/-2
x = 2
1. An AP Statistics class starts a project to estimate the average number of hours a student at their high school sleeps per night. Their high school has 1200 students, and they take a sample of the first 120 students that arrive at school on a particular day. They ask each of the 120 students how many hours of sleep they got the night before and then calculate an average. Which of the following statements is an accurate description of the elements of this survey?
Answer:
(C) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Parameter of interest: the average number of hours a student at this high school sleeps per night.
Step-by-step explanation:
The correct answer is (C). The sample is a subset of the population, and the parameter is a characteristic of the population of interest.
Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal. Test Upper H Subscript 0 Baseline : mu Subscript 1 Baseline equals mu Subscript 2 vs Upper H Subscript a Baseline : mu Subscript 1 Baseline greater-than mu Subscript 2 using the sample results x Overscript bar EndScripts Subscript 1 Baseline equals 56, s Subscript 1 Baseline equals 8.2 with n Subscript 1 Baseline equals 30 and x Overscript bar EndScripts Subscript 2 Baseline equals 51, s Subscript 2 Baseline equals 6.9 with n Subscript 2 Baseline equals 40.
A. Give the test statistic and the p-value.
B. What is the conclusion of the test? Test at a 10 % level.
Answer:
(A) The value of t test statistics is 2.767 and P-value is 0.0042.
(B) We conclude that the mean of first group is greater than the mean of second group.
Step-by-step explanation:
We are given the following hypothesis below;
Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_1=\mu_2[/tex] {means that the mean of first group is equal to the mean of second group}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_1>\mu_2[/tex] {means that the mean of first group is greater than the mean of second group}
The test statistics that would be used here Two-sample t-test statistics as we don't know about population standard deviation;
T.S. = [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] ~ [tex]t__n__1-_n__2-2[/tex]
where, [tex]\bar X_1[/tex] = sample mean of first group = 56
[tex]\bar X_2[/tex] = sample mean of second group = 51
[tex]s_1[/tex] = sample standard deviation of first group = 8.2
[tex]s_2[/tex] = sample standard deviation of second group = 6.9
[tex]n_1[/tex] = sample of first group = 30
[tex]n_2[/tex] = sample of second group = 40
Also, [tex]s_p=\sqrt{\frac{(n_1-1)s_1^{2} +(n_2-1)s_2^{2} }{n_1+n_2-2} }[/tex] = [tex]\sqrt{\frac{(30-1)\times 8.2^{2} +(40-1)\times 6.9^{2} }{30+40-2} }[/tex] = 7.482
So, the test statistics = [tex]\frac{(56-51)-(0)}{7.482 \times \sqrt{\frac{1}{30} +\frac{1}{40} } }[/tex] ~ [tex]t_6_8[/tex]
= 2.767
(A) The value of t test statistics is 2.767.
Also, P-value of the test statistics is given by;
P-value = P( [tex]t_6_8[/tex] > 2.767) = 0.0042
(B) Now, at 10% significance level the t table gives critical value of 1.295 at 68 degree of freedom for right-tailed test.
Since our test statistic is more than the critical values of t as 2.767 > 1.295, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the mean of first group is greater than the mean of second group.
MARKING BRAINLIEST!!!!!!!
Answer:
factoring
Step-by-step explanation:
Answer:
Quadratic formula is the best
Eastbound travels at 95 miles per hour the westbound train travels at 105 miles per hour .how long will it take for the two trains to be 480 miles apart
Answer:
48
Step-by-step explanation:
This is a linear equation, it goes as follows:
[tex]105(x) - 95(x) = 480[/tex]
x stands for hours.
Solving for x yields 10.
Keep in mind that 105 and 95 are miles per hour where 480 is miles. So multiplying [tex](\frac{miles}{hours}) (hours)[/tex] gives off hours which is what we are looking for.
Hope this helps.
The mean age of 5 people in a room is 28 years.
A person enters the room.
The mean age is now 29.
What is the age of the person who entered the room?
Answer :S/5 = 28
Step-by-step explanation:
1.
Y:
Which of the following expressions represents a positive
number?
A 6.1 + (-6.2)
B
-4.5 - (-5)
0 -3 -1 -2 /
с
+
8
E 3 - (7)
Answer:
b
Step-by-step explanation: