Answer:
x=5, y=18
Step-by-step explanation:
y=2x+8
x= (y-8)/2
Substitute in second equation,
y= 4((y-8)/2) -2
y= 2(y-8)-2
y= 2y-16-2
16+2=2y-y
18=y
Replace y value in first equation to find x,
18= 2x+8
18-8=2x
10=2x
5=x
Four years ago, you started a job with an annual salary of $40,000. At the end of each year on the job, you received a raise of 4.8%. The table shows your salary after each of your four annual raises.
Number of Years
Annual Salary
1
$41,920.00
2
$43,932.16
3
$46,040.90
4
$48,250.87
Answer:
the third one
Step-by-step explanation:
Which is bigger 0.78 or 0.708
Answer:
0.78
Step-by-step explanation:
Answer:
0.78
Step-by-step explanation:
because...
0.78 = 0.780
so,
0.780 > 0.708
have a nice day! <3
9.215
627
How to work the problem
Answer:
multiply
Step-by-step explanation:
On the leeward side of the island of Oahu, in a small village, about 74% of the residents are of Hawaiian ancestry. Let n = 1, 2, 3, … represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village. (a) Write out a formula for the probability distribution of the random variable n. (Enter a mathematical expression.) P(n) = (b) Compute the probabilities that n = 1, n = 2, and n = 3. (For each answer, enter a number. Round your answers to three decimal places.) P(1) = 0.740 P(2) = 0.192 P(3) = 0.050 (c) Compute the probability that n ≥ 4. Hint: P(n ≥ 4) = 1 − P(n = 1) − P(n = 2) − P(n = 3). (Enter a number. Round your answer to three decimal places.) 0.018 (d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry? Hint: Use μ for the geometric distribution and round. (Enter a number. Round your answer to the nearest whole number.) residents
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Probability distribution of a random variable n :
P(n) = (1 - p)^(n-1) * p
p = 0.74
P(n) = (1 - 0.74)^(n-1) * 0.74
P(n) = (0.74)0.26^n-1
Compute the probabilities that n = 1, n = 2, and n = 3.
n = 1
P(1) = (0.74)0.26^1-1
= 0.74 * 0.26^0
= 0.74
n = 2
P(2) = (0.74)0.26^2-1
= 0.74 * 0.26^1
= 0.74 * 0.26
= 0.192
n = 3
P(3) = (0.74)0.26^3-1
= 0.74 * 0.26^2
= 0.74 * 0.0676
= 0.050
Compute the probability that n ≥ 4.
P(n ≥ 4) = 1 - p(n ≤ 3)
p(n ≤ 3) ; n = 1, n = 2, n = 3
p(n = 1) = 0.74
p(n = 2) = 0.192
p(n = 3) = 0.050
P(n ≥ 4) = 1 - (0.74 + 0.192 + 0.050)
P(n ≥ 4) = 1 - 0.982
P(n ≥ 4) = 0.018
(d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry?
Expected number of residents (μ) :
μ = (1 - p) / p
p = 0.74
μ = (1 - 0.74) / 0.74
μ = 0.26 / 0.74
μ = 0.35
write an equation of the line that passes through the points (1,3) and (3,-5)
Help ! I’ll mark you brainly
Answer:
There you go :)
Hope this helped you
<3
Red
yesterday,it's was negative 7 degrees Fahrenheit outside today, it is 14 degrees Fahrenheit warmer. Click on today's temperature
Answer:
It is 7 degrees.
Step-by-step explanation:
Hope this helps! Add -7 + 14= 7
4+|7−m|=5
Solve for M
m = 16 or m = -2
m = 6 or m = -8
m = 6 or m = 8
m = 2 or m = 16
444444454444444444444545555
Ameera had $10.50 with her. She bought some pencils costing $2.50 each and some erasers costing $1.00 each. Could she buy 4 pencils and 3 erasers with the money she had?
Answer:
Step-by-step explanation:
find the unkown angle of a triangle
Step-by-step explanation:
Find
Triangle A(because there are two triangles)
take 28°+39°=67°
an angle is 180° in total so you take
180°-67°=113°
Angle x = 113°
Angle y = 67°
Triangle B
64°+67° = 131°
180°-131°=49°
Angle z =49°
A triangle is plotted on the coordinate plane. Each of its vertices undergoes the same transformation. Which rule below represents a transformation that does NOT preserve the length of the sides of the triangle?
A
(x, y) --> (-x + 9, y - 8)
B
(x, y) --> (-x + 9, -y - 8)
C
(x, y) --> (x + 4, y + 6)
D
(x, y) --> (5x - 4, y + 2)
Answer:
Step-by-step explanation:
D
Please solve for x and is it complementary or supplementary
8^(1/2)+16^(1/4)-12^(1/2)+81^(1/4) and 〖8∙2〗^(1/2)-24^(1/4)-3^(1/2)+128^(1/4)
Answer:
Im too gucci. 88.
Step-by-step explanation:
5(x -4) + 3x - 9x +7
Answer:
-x - 13
Step-by-step explanation:
Answer:
-x - 13
Hope this helps! :)
I’m confused can someone help?!
Answer:
C: up two over 1
3 movie tickets cost $36.At this rate what is the cost per ticket $
Answer:12
Step-by-step explanation:
Answer:
The cost per ticket is $12
Step-by-step explanation:
In order to find the answer, you would need to divide $36 by 3 to find how much it costs per ticket.
Hope this helps:)
Which expression is equivalent to one over three p + 15?
A.one over three(p + 45)
B.one over three(p + 5)
C.3(p + 45)
D.3(p + 5)
Answer:
one over three(p + 5)
Step-by-step explanation:
we know that
the expression " one over " is equivalent to
--------> expression A
and
--------> expression B
substitute the expression B in the expression A
-----> one over three
According to a study published in the New England Journal of Medicine, overweight people on low-carbohydrate and Mediterranean diets lost more weight and got greater cardiovascular benefits than people on a conventional low-fat diet (The Boston Globe, July 17, 2008). A nutritionist wishes to verify these results and follows 30 dieters on the low-carbohydrate and Mediterranean diets and 30 dieters on the low-fat diet. These data (measured in pounds) can be found on the text website, labeled Different Diets. Let Low-carb or Mediterranean and Low-fat diets represent populations 1 and 2, respectively. Use Table 2.
Low-carb Low-carb/
Mediterrean Diets Low- Fat diet Mediterreand diet Low-fat Diet
9.5 6.5 6.8 5.9
8.1 5.8 9.1 6.9
10.4 9.9 9.4 9.1
11.9 5.1 10.2 8.0
11.8 8.0 9.5 8.9
12.6 6.3 9.5 3.4
6.7 6.3 9.4 4.6
9.6 4.4 12.0 6.2
11.6 5.7 9.9 4.6
8.4 5.9 9.7 6.7
9.0 6.8 9.2 4.6
7.5 5.1 13.0 7.1
7.2 6.3 11.3 11.0
8.5 5.5 13.6 4.5
8.8 5.5 9.0 3.9
a.Set up the hypotheses to test the claim that the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 > 0
H0: ?1 ? ?2 = 0; HA: ?1 ? ?2 ? 0
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 < 0
b-1.Using the appropriate commands in Excel, find the value of the test statistic. Assume that the population variances are equal and that the test is conducted at the 5% significance level. (Round your answer to 2 decimal places.)
Test statistic
b-2. What is the critical value and the rejection rule?
Reject H0 if tdf < -1.672.
Reject H0 if tdf < -2.002.
Reject H0 if tdf > 2.002.
Reject H0 if tdf > 1.672.
c. At the 5% significance level, can the nutritionist conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet?
No
Yes
Low-carb/Mediterrean Diets Low-fat Diet
9.5 6.5
8.1 5.8
10.4 9.9
11.9 5.1
11.8 8
12.6 6.3
6.7 6.3
9.6 4.4
11.6 5.7
8.4 5.9
9 6.8
7.5 5.1
7.2 6.3
8.5 5.5
8.8 5.5
6.8 5.9
9.1 6.9
9.4 9.1
10. 2 8
9.5 8.9
9.5 3.4
9.4 4.6
12 6.2
9.9 4.6
9.7 6.7
9.2 4.6
13 7.1
11.3 11
13.6 4.5
9 3.9
Answer:
Explained below.
Step-by-step explanation:
A two-sample test is to be performed to determine whether the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.
(a)
The hypothesis can be defined as follows:
H₀: μ₁ - μ₂ ≤ 0 vs. Hₐ: μ₁ - μ₂ > 0
(b-1)
Use Excel to perform the t test for independent samples.
The output is attached below.
The test statistic value is, t = 7.58.
(b-2)
The degrees of freedom is, df = 58.
The critical value is, t₅₈ = 1.672.
The rejection region is:
Rejected H₀ if t > t₅₈ = 1.672.
(c)
Decision:
t = 7.58 > t₅₈ = 1.672
The null hypothesis will be rejected at 5% level of significance.
Thus, the nutritionist can conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet.
The correct option is Yes.
What is the coefficient of 5a^2-7
Answer: 5
Step-by-step explanation:
A coefficient is a number used to multiply a variable. in "5a" 5 is the coefficient.
Find each percent increase. Round to the nearest percent
Answer:
1. 15 to 21 = 21 - 15 / 15 = 0.4*100% = 40%
2. 12 teachers to 48 teachers = 48 - 12/48 = 0.75 * 100% = 75%
3. 80 pencil to 120 pencil = 120 - 80 / 80 = 0.5*100% = 50%
4. 40 cans to 70 cans = 70 - 40 / 70 = 0.43 * 100% = 43%
6. When you barter, you must ________
in order to buy something.
Answer:
When you barter, you must trade it for something else in order to buy something.
Step-by-step explanation:
When you barter, you must exchange in order to buy something.
What is barter?Barter, the direct exchange of goods or services—without an intervening medium of exchange or money—either according to established rates of exchange or by bargaining. It is considered the oldest form of commerce.
Given: A person barters
Therefore he must trade it for something else (exchange) in order to buy something.
Hence, When you barter, you must exchange in order to buy something.
Learn more about barter here:
https://brainly.com/question/14903216
#SPJ2
-8= 3-5(x+6) solving algebraicaily
Let's solve your equation step by step
-8=3-5(x+6)
Step 1: simplify both sides of the equation
-8=3-5(x+6)
-8=3+(-5)(x)+(-5(6) (distribute)
-8=3+-5x+-30
-8=(-5x)+(3+-30) (combine like terms)
-8=-5x+-27
-8=-5x-27
Step 2: flip the equation
-5x-27=-8
Step 3: add 27 to both sides
-5x-27+27=-8+27
-5x=19
Step 4: Divide both sides by -5
-5x/-5 = 19/-5
Answer : x= -19/5
Answer:
x = -19/5
Step-by-step explanation:
-8 = 3-5(x+6)
Distribute.
-8 = 3-5x-30
Combine like terms.
-8 = -27-5x
Add 27 on both sides.
-8 = -27-5x
+27 +27
19 = -5x
Divide by -5 on both sides.
19 = -5x
/-5 /-5
-19/5 = x
Hope this helps you a little bit! Sorry if it get confusing...have an amazing day c:
Help please posted this twice immediate help right now
Answer:
(-3, 4)
Step-by-step explanation:
Given equation of the line is,
y - 4 = -2(x + 3)
Any point (x, y) lying on this line will satisfy the equation by substituting x and y values.
If a point (-3, a) lies on this line,
By substituting x and y coordinates in the equation,
a - 4 = -2(-3 + 3)
a - 4 = -2(0)
a - 4 = 0
a - 4 + 4 = 0 + 4
a = 4
Therefore, ordered pair shown in the picture will be,
(-3, 4)
Answer: (-3, 4)
Step-by-step explanation:
What is the slope of pv? A:1 B:2 C:-2 D:-4
Answer:
D
Step-by-step explanation:
This is how I was taught to answer these questions
Get the coordinates of P and V. You should get 4=2m+b and 0=3m+b
Subtract these to get 4=-1m
Divide -1 from both sides to get -4
Let me know if you have any questions. I didn't go into to much detail because I wasn't sure if you just only wanted the answer.
Happy almost Halloween!
PLEASE HELP ME WITH THIS MATHS QUESTIONS!!!
WILL GIVE BRAINLIEST!!!
Answer:
a) y = (x+2)/3
b) 5
Step-by-step explanation:
f^-1(x) means "f inverse of x". To find the inverse, we simply:
a ) f(x) = 3x -2
y = 3x - 2 --> because f(x) is the same thing as y
x = 3y - 2 --> to find the inverse, we simply just switch x and y
x + 2 = 3y
y = (x+2)/3
b) f^-1(13)
f^-1(13) = [((13) + 2)/3]
f^-1(13) = (15)/3
f^-1(13) = 5
The difference between the areas of the figures is less than 4.
An absolute value inequality that represents this situation is ___
The solution of the inequality is ___
Thank you!!!!!!!!
Answer:
We know that:
If T = area of the triangle
and R = area of the rectangle:
I T - RI < 4.
Now, we know that:
T = 8*6/2 = 8*3 = 24
R = 4*(x - 4) = 4*x - 16
Then replacing those values, we can write:
I24 - (4*x - 16)I < 4
I40 - 4*xI < 4
Now let's solve it:
First we aim for the first value that is not a solutions, this is when:
I40 - 4*xI = 4
we can write this as:
40 - 4*x = +-4
The first extreme is:
40 - 4*x = +4
x = (40 - 4)/4 = 9
The other extreme is:
40 - 4*x = -4
x = (40 + 4)/4 = 11.
Then the set of solutions is: S = (9, 11)
What is the correct answer on identify the error(s) in the proposed proof?
Answer:
correct i think
Step-by-step explanation:
what is the slope if my two points are 3,1 and 3,4?
Expression is equivalent to 179×44.
Answer: 7876
Step-by-step explanation: JUST MULTIPLY THE NUMBERS
How many times does the quadratic function below intersect the x-axis?
y = x+3x+15