Answer:
z= 0.278
Step-by-step explanation:
Given data
n1= 60 ; n2 = 100
mean 1= x1`= 10.4; mean 2= x2`= 9.7
standard deviation 1= s1= 2.7 pounds ; standard deviation 2= s2 = 1.9 lb
We formulate our null and alternate hypothesis as
H0 = x`1- x`2 = 0 and H1 = x`1- x`2 ≠ 0 ( two sided)
We set level of significance α= 0.05
the test statistic to be used under H0 is
z = x1`- x2`/ √ s₁²/n₁ + s₂²/n₂
the critical region is z > ± 1.96
Computations
z= 10.4- 9.7/ √(2.7)²/60+( 1.9)²/ 100
z= 10.4- 9.7/ √ 7.29/60 + 3.61/100
z= 0.7/√ 0.1215+ 0.0361
z=0.7 /√0.1576
z= 0.7 (0.396988)
z= 0.2778= 0.278
Since the calculated value of z does not fall in the critical region so we accept the null hypothesis H0 = x`1- x`2 = 0 at 5 % significance level. In other words we conclude that the difference between mean scores is insignificant or merely due to chance.
If y>0, which of these values of x is NOT in the domain of this equation? y=x2+7x
Answer:
[tex]\boxed{\sf \ \ \ [-7,0] \ \ \ }[/tex]
Step-by-step explanation:
Hello
[tex]y=x^2+7x=x(x+7) >0\\<=> x>0 \ and \ x+7 >0 \ \ or \ \ x<0 \ and \ x+7<0\\<=> x>0 \ \ or \ \ x<-7\\[/tex]
So values of x which is not in this domain is
[tex]-7\leq x\leq 0[/tex]
which is [-7,0]
hope this helps
1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x) 2. If we multiply a polynomial by a constant, is the result a polynomial? 3. if deg(f+g) is less than both deg f and deg g, then must f and g have the same degree?
Answer:
1. k=0
2. yes, result is still a polynomial.
3. yes, f and g must have the same degree to have deg(f+g) < deg(f) or deg(g)
Step-by-step explanation:
1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x)
for k=0 any polynomial f(x) will reduce f(k) to the constant term.
2. If we multiply a polynomial by a constant, is the result a polynomial?
Yes, If we multiply a polynomial by a constant, the result is always a polynomial.
3. if deg(f+g) is less than both deg f and deg g, then must f and g have the same degree?
Yes.
If
deg(f+g) < deg(f) and
deg(f+g) < deg(g)
then it means that the two leading terms cancel out, which can happen only if f and g have the same degree.
Suppose you invest $15,000 at the age of 35, and agree to start receiving
payments at the age of 45. At age 41, you decide you want to withdraw $5000
from your account. What is the IRS fee you will have to pay? Remember, the
IRS charges 10% if you withdraw before you are 59.5.
A. $500.00
B. $750.00
C. $50.00
D. $250.00
Answer:
A. $500.00
Step-by-step explanation:
IRS popularly known as Internal revenue service charges an IRS fee under the authority of the Federal Law and policy agencies. This implementation of IRS fee is to recuperate the cost of rendering a service to the masses.
From the given information in the question:
Suppose you invest $15,000 at the age of 35 and agree to start receiving payments at the age of 45.
At age 41, you decide you want to withdraw $5000 from your account.
Since the investor is still 41 years of age ; IRS will charge 10% of the withdrawal amount.
IRS fee = 10% of $5000
IRS fee = 0.1 × $5000
IRS fee = $500
Assume that y varies directly with x, then solve.
If y=6 when x= 2/3 find x when y=12.
х: /
2×y = 2×6= 12 so 2×x = 2×23 = 43 = 113
Step-by-step explanation:
Is this what you are looking for?
Find the unknown side length, x. Write your answer in simplest radical form.
Answer:
Correct option: D
Step-by-step explanation:
In the figure we have a right triangle, that is, one of the angles is a 90° angle. Therefore, we can use the Pythagoras' theorem to find the relation between the sides of the triangle:
[tex]a^2 = b^2 + c^2[/tex]
Where b and c are cathetus of the triangle (sides adjacent to the 90° angle) and a is the hypotenuse (opposite side to the 90° angle).
So in our case, we have that x is the hypotenuse, and 40 and 42 are cathetus, so we have:
[tex]x^2 = 40^2 + 42^2[/tex]
[tex]x^2 = 1600 + 1764[/tex]
[tex]x^2 = 3364[/tex]
[tex]x = 58[/tex]
So the correct option is D.
Subtract the rational expressions: (x/x+2)-(2/x)
What the answer fast
Answer:
72
Step-by-step explanation:
36+36=72
What is the base of the expression 11^12? A. 3 B. 11 C. 12 D. 21
An exponential has the base at the bottom, or the lower portion. Think of "basement" to help remember this. The exponent is the number up top, so 12 is the exponent.
Answer:
The person above me is correct ( :
Step-by-step explanation:
B
¿Qué interés produce s/ 72,000 al 5% anual en 1 año, 1 mes, 10 días?
Answer: 3,988.8
Usaremos la fómula: I = C * i * n
I = 72 000 * 0.05 * (1 año + 1 mes + 10 día)
I = 72 000 * 0.05 * (1 + 0.08 + 0.0028)
I = 72 000 * 0.05 * 1.108
3,988.8
Step-by-step explanation:
Podemos obtener el interés que produce un capital con la siguiente fórmula:
I = C * i * n
Ejemplo: Si queremos calcular el interés simple que produce un capital de 1.000.000 pesos invertido durante 5 años a una tasa del 8% anual. El interés simple se calculará de la siguiente forma:
I = 1.000.000 * 0,08 * 5 = 400.000
Si queremos calcular el mismo interés durante un periodo menor a un año (60 días), se calculará de la siguiente forma:
Periodo: 60 días = 60/360 = 0,16
I = 1.000.000 * 0,08 * 60/360 = 13.333
Espero te ayude :3
9. Express 400cm3 as a fraction of 2 litres
in the lowest form. *
options
1/10
1/5
2/5
Answer:
[tex]\boxed{\red{\frac{1}{5} }}[/tex]
Step-by-step explanation:
[tex]400 {cm}^{3} = 400ml \\ 2l = 2000ml[/tex]
So, now we have to write 400cm^3 as a fraction of 2l
[tex] \frac{400}{2000} = \frac{4}{20} = \frac{1}{5} [/tex]
Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate the sum of the series with an error of less than 0.0001.
Answer:
yeyyyaya
Step-by-step explanation:
Find the indicated sum for each sequence. S9 of –9, 36, –144, 576, ... A –585 B –471,861 C 1,887,435 D –471,852
=====================================================
Explanation:
This is a geometric sequence because each new term is found by multiplying the last term by -4.
The common ratio is r = -4. The first term is a = -9. We want to sum up n = 9 terms.
Use the geometric nth partial sum formula below to plug in the terms mentioned
[tex]S_n = \frac{a*(1-r^n)}{1-r}\\\\S_9 = \frac{-9*(1-(-4)^9)}{1-(-4)}\\\\S_9 = \frac{-9*(1-(-262144))}{1+4}\\\\S_9 = \frac{-9*(1+262144)}{1+4}\\\\S_9 = \frac{-9*(262145)}{5}\\\\S_9 = \frac{-2359305}{5}\\\\S_9 = -471,861\\\\[/tex]
Answer:
-471,861
Step-by-step explanation:
A swimming pool is circular with a 30-ft diameter. The depth is constant along east-west lines and increases linearly from 2 ft at the south end to 7 ft at the north end. Find the volume of water in the pool. (Round your answer to the nearest whole number.) ft3
Answer:
Volume of water in the pool is 3,182 ft^3
Step-by-step explanation:
In this question, what we want to calculate is the volume of water in the pool.
We proceed as follows;
diameter of pool = 30ft
depth: 2 to 7ft linearly
average depth = (2 + 7)/2 = 9/2 = 4.5 ft
Volume = area * average depth
V = pi * radius^2 * 4.5
where radius = diameter/2 = 30/2 = 15 ft
V = pi * 15^2 * 4.5
V = 22/7 * 225 * 4.5
V = 3,182.14 ft^3
which is 3,182 ft^3 to nearest whole number
The volume of water in the pool is; Volume = 3181 ft³
We are given;
Diameter of swimming Pool; d = 30 ft
Thus; radius; r = d/2 = 30/2 = 15 ft
We are told that the depth is constant along east-west lines and increases linearly from 2 ft at the south end to 7 ft at the north end.
Thus, average depth is;
h_avg = (2 + 7)/2
h_avg = 4.5 ft
Formula for area is; A = πr²
Thus;
A = π × 15²
A = 225π
Formula for volume here is;
Volume = Area × depth
Volume = 225π × 4.5
Volume = 3180.86 ft³
Approximating to a whole number gives;
Volume = 3181 ft³
Read more at; https://brainly.com/question/15276135
The number of users on a website has grown exponentially since its launch. After 1 month, there were 120 users. After 4 months, there were 960 users. Find the exponential function that models the number of users x months after the website was launched. Write your answer in the form f(x)=a(b)x.
Answer:
f(x) = 60(2)ˣ
Step-by-step explanation:
f(x) = a(b)ˣ
After one month:
120 = a(b)¹
After four months:
960 = a(b)⁴
Divide the second equation by the first:
8 = b³
b = 2
Plug into either equation and find a.
120 = a(2)¹
a = 60
Therefore, f(x) = 60(2)ˣ.
I need help with this quickly, it would be very much appreciated.
Answer:
complementary because 2 angles that add up to 90º is a complementary angle and x=9 :)
Step-by-step explanation:
90=46+5x-1
45=5x
x=9
Answer:
x = 9 Complementary
Step-by-step explanation:
The angles are compplementary cause the angle add up to 90°
Well to find x we need to make the following equation,
46 + (5x - 1) = 90
We need to simplify and combine like terms,
46 - 1 = 45
45 + 5x = 90
-45 to both sides
5x = 45
Divide 5 by both sides
x = 9
Thus,
x is 9.
Hope this helps :)
think about whether the diagram represents a function.
Step-by-step explanation:
im sorry but i need more info or a picture or something to actually anwser the question...
hich sequence of transformations could map △ABC to △XYZ? a reflection across line m and a dilation a dilation by One-fourth and a reflection across line m a rotation about C and a dilation a dilation by One-fourth and a translation
Answer:
a dilation by One-fourth and a translation
Step-by-step explanation:
For determining the sequence first we have to find out the scale factor which is shown below:
We can calculate the scale factor to obtain
[tex]= \frac{1.5}{6} \\\\ = \frac{1}{4}[/tex]
Now as we know that the triangle XYZ and the triangle ABC are similar to each other but in the triangle XYZ is smaller in size and it is a shift to upward and right
Therefore the last option is correct
In Sparrowtown, the use of landlines has been declining at a rate of 5% every year. If there are 20,000 landlines this year, how many will there be in 15 years? If necessary, round your answer to the nearest whole number.
Answer:
5,000
Step-by-step explanation:
If it decreases by 5% a year, it'll decrease by 75% in 15 years
i.e 1 year = 5%
15 years = x
Cross multiply
x = 75%
Therefore, since it decreases by 75%
100 - 75 x 20,000 = 5,000
100
4x + 12 = 20y Solve for x.
Answer:
x=5y-3
Step-by-step explanation:
[tex]4x+12=20y\\4x=20y-12\\x=\frac{20y-12}{4} \\x=\frac{20y}{4}- \frac{12}{4} \\x=5y-3[/tex]
Given: F={(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4,7), (5, 8), (6,9). (7.5))
(F. G) (2) =
10
O 20
O 40
Answer:
(F·G)(2) = 20
Step-by-step explanation:
We assume you want (F·G)(2).
(F·G)(2) = F(2)·G(2)
F(2) = 4 . . . . from the ordered pair (2, 4)
G(2) = 5 . . . .from the ordered pair (2, 5)
So your product is ...
F(2)·G(2) = 4·5 = 20
(F·G)(2) = 20
There are 4 red balls and 6 green balls in a bag.
You reach in the bag and take out 3 balls without looking.
What is the probability that all three of the balls you take out are red?
[tex]\frac{1}{30}[/tex]
Step-by-step explanation:From the question, in the bag there are;
4 red balls
6 green balls
10 balls in total.
Now, reaching in the bag and taking out 3 balls without looking, the probability that all three balls are red, can be analyzed as follows;
All three red means;
The first ball is red,
The second ball is red and;
The third ball is red.
i. First you take out a ball from a total of 10 balls. The probability P⁰(R) of having a red ball is given as;
P⁰(R) = [tex]\frac{possible-space}{total-space}[/tex]
Since there are 4 red balls, the possible-space is 4
Also, since there are a total of 10 balls, the total-space is 10
P⁰(R) = [tex]\frac{4}{10} = \frac{2}{5}[/tex]
ii. Secondly, you take out a ball from a remaining total of 9 balls. The probability P¹(R) of still having a red ball is given as;
P¹(R) = [tex]\frac{possible-space}{total-space}[/tex]
Since there are 3 red balls remaining, the possible-space is 3
Also, since there are a remaining total of 9 balls, the total-space is 9
P¹(R) = [tex]\frac{3}{9} = \frac{1}{3}[/tex]
iii. Thirdly, you take out a ball from a remaining total of 8 balls. The probability P²(R) of still having a red ball is given as;
P²(R) = [tex]\frac{possible-space}{total-space}[/tex]
Since there are 2 red balls remaining, the possible-space is 2
Also, since there are a remaining total of 8 balls, the total-space is 8
P²(R) = [tex]\frac{2}{8} = \frac{1}{4}[/tex]
Therefore, the probability P(R) of taking out three red balls without looking is given by the product of the probabilities described above. i.e
P(R) = P⁰(R) x P¹(R) x P²(R)
P(R) = [tex]\frac{2}{5} * \frac{1}{3} * \frac{1}{4} = \frac{1}{30}[/tex]
Could someone please help me Thank you!!
Answer:
-5/3 -2/5
im pretty sure
Answer:
[tex]5^{7[/tex] or 78125
Step-by-step explanation:
5^2 ( 5^3 · 5^2 )
= 5^2 ( 5^5 ) = 5^7
or, 78125
In how many ways can 13 people be divided into four groups with 3, 6, 2 and 2 people respectively?
Answer:
6227020800
Step-by-step explanation:
There are 13 ways to choose the first person in the first group, 12 ways to choose the second person in the first group and so on until we get 1 way to choose the second person in the last group so the answer is 13 * 12 * 11 * ... * 3 * 2 * 1 = 13! = 6227020800.
In a box-and-whisker plot, the interquartile
range is a measure of the spread of the
middle half of the data. Find the interquartile
range for the data set: 10, 3, 7, 6, 9, 12, 13.
Answer:
I believe the interquarrile range is 5
Question 1 (10 points). (a) Explain the difference between linear and logistic regression. (Explain at least two differences and one similarity in detail). (b) Give an example of a modeling problem (ie, using X to predict Y, where X and Y are real life examples) for each type.
Answer:
(a) Linear regression is used to estimate dependent variable which is continuous by using a independent variable set. Logistic regression we predict the dependent variable which is categorical using a set of independent variables.
(b) Finding the relationship between the Number of doors in the house vs the number of openings. Suppose that the number of door is a dependent variable X and the number of openings is an independent variable Y.
Step-by-step explanation:
(a) Linear regression is used to estimate dependent variable which is continuous by using a independent variable set .whereas In the logistic regression we predict the dependent variable which is categorical using a set of independent variables. Linear regression is regression problem solving method while logistic regression is having use for solving the classification problem.
(b) Example: Finding the relationship between the Number of doors in the house vs the number of openings. Suppose that the number of door is a dependent variable X and the number of openings is an independent variable Y.
If I am to predict that increasing or reducing the X will have an effect on the input variable X or by how much we will make a regression to find the variance that define the relationship or strong relationship status between them. I will run the regression on any computing software and check the stats result to measure the relationship and plots.
. (08.03 LC) Determine the factors of x2 − 12x − 20. (5 points) (x − 2)(x + 10) (x − 10)(x + 2) (x − 5)(x + 4) Prime
Answer:
prime
Step-by-step explanation:
We're looking for 2 numbers with a sum of -12 and product of -20 but unfortunately there aren't any numbers that do so, therefore the answer is prime.
Answer:
Prime
Step-by-step explanation:
Solve: 5x=110. (Round to three decimal places.)
Hey there! Welcome to Brainly! I'm happy to help!
In equations, letters like x or y are called variables. They represent a number that we do not know yet, or they can almost be seen as a question mark in an equation. For example, 1+?=2. We know that this ? represents the number 1, and the same would go if you put a variable in there. If you have 1+x=2, you can figure out that x=1!
Our equation is 5x=110. When you see a number next to a variable, that number is called the coefficient. It is a number that multiplies a variable. So, our coefficient is 5. This means that five is multiplied by x to equal 110.
5·x=110
What if we don't know off the top of our heads what we multiply 5 by to get to 110? It was easy with 1+1=2, but this is trickier. Here's how to figure it out.
We want to get the x all by itself on one side of the equation. Then, we will see what x equals.
To do this, we use inverse operations. I will show you below with our 1+x=2 example.
1+x=2
We have a positive one plus an x equals two. We could visualize this like this.
+1+x=2
What we want to do is move the 1 to the other side of the equation so that x is by itself. So, what's the opposite of adding? Subtracting!
However, we don't just subtract the 1 from the left side, but we do it from the right side! You have to do the inverse operation on both sides to find the answer.
So, let's subtract 1 from both sides.
+1+x-1=2-1
x=1
We see that x equals 1, and if we plug this into the equation 1+x=2, we see that it is correct.
Now, with our problem, we need to divide, because that is the opposite of multiplication. We need to divide both sides by 5 to isolate the x. Let's do it!
5x÷5=110÷5
x=22
We see that 5×22 is equal to 110, so this is correct! Now you can solve for variables in equations!
Have a wonderful day!
What is the second step when evaluating the expression 49 + 63 ÷ (3 + 2 × 2) – 7? 63 ÷ 3 63 ÷ 7 2 × 2 3 + 4
ANSWER: Multiply and Divide from left to right
To do this question we must follow the rules of PEMDAS. The first step would be to evaluate the equation given to us in the parentheses. To solve that we would have to use PEMDAS once again which tells us to multiply 2 x 2 before we add 3, so we get 7. Now that there is no more Parentheses, our second step is to evaluate each Multiplication and Division expression from left to right. This would start by dividing 63 by 7 to get 9.
Thank you for the help!!
Answer:
B. 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
You know that the empty barrel is 1/4 of the full barrel. Find 1/4 of 20 to get 0.25 x 20 = 5
Find the area under the standard normal curve between z=−0.89 and z=2.56. Round your answer to four decimal places, if necessary.
Answer:
0.8080
Step-by-step explanation:
A suitable probability calculator gives that area as 0.8080.