Answer:
The p-value is approximately 0.9015
Step-by-step explanation:
The statistic parameters are;
The population mean, μ₀ = $85,000
The population standard deviation, σ = $8,700
The size of the sample, n = 50
The sample mean annual profit, [tex]\bar x[/tex] = $82,441
The null hypothesis, H₀: μ = 81,000
The alternative hypothesis, Hₐ: μ > 81,000
Given that n > 30, a z-test is used
The test statistic ≈ 1.29
Therefore, we have;
[tex]z=\dfrac{\bar{x}-\mu_0 }{\dfrac{\sigma }{\sqrt{n}}} = 1.29[/tex]
From the z-score, the p value for a test statistic of 1.29 = 0.90147 which is 0.9015 after rounding up to 4 decimal places
The polynomial 3x2 – 10x + 8 has a factor of 3x – 4. What is the other factor of 3x2 – 10x + 8?
Answer:
The other factor is (x - 2)
Step-by-step explanation:
One quick way to solve this is to factor the polynomial and see what you get:
3x² – 10x + 8
= 3x² - 6x - 4x + 8
= 3x(x - 2) - 4(x - 2)
= (3x - 4)(x - 2)
You can also solve this using long division:
[tex]\ \ \ \ \ \ \ \ \ \ \underline{x - 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\3x - 4\ )3x^{2} - 10x + 8\\.\ \ \ \ \ \ \ \ \ \ \underline{3x^2 - 4x}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -6x + 8\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-6x + 8}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0R[/tex]
Consider the relationship 7r+2t=7. a. Write the relationship as a function r=f(t).
Answer: r = 2/7 -t
Step-by-step explanation: solve r from equation
7r = 2-7t l:7. r = 2/7 - t
The relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].
What is the equation?In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
Consider the relationship;
7r+2t=7
Substitute r = f(t) in the equation
[tex]\rm 7r+2t=7\\\\7f(t)+2t=7\\\\ 7f(t)=7-2t\\\\f(t)=\dfrac{7-2t}{7}\\\\[/tex]
Hence, the relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].
Learn more about equation here;
https://brainly.com/question/9699841
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Please help due tomorrow please explain if can
Answer:
16) 9ft, C
17) 1440 cm^3, D
18) 314 m^2, B
Step-by-step explanation:
16) 18 / 6 = 27 / x
18x = 162
x = 9 (C)
17) 24 / 1,920 = 18 / x
24x = 34,560
x = 1440 (D)
18) Surface Area of a sphere = 4 * pi * radius^2 (4r^2)
SA = 4pi(5)^2
SA = 4pi25
SA = 100pi
SA = 100(~3.14)
SA = 314 (B)
Find the slope and y-intercept for both problems
Answer:
1. 3/2
2. 4
Step-by-step explanation:
Find the errors and correct the following mathematical sentences.
Answer:
ix) (2a + 3)² = 4a² +12a + 9
x) a) x² + 7x + 12 = (-3)² + 7(-3) + 12 = 9 -21 + 12 = 0
b) x² - 5x + 6 = (-3)² - 5(-3) + 6 = 9 + 15 + 6 = 30
c) x² + 5x = (-3)² + 5(-3) = 9 -15 = -6
What is the surface area?
5 yd
4 yd
5 yd
6 yd
6 yd
Someone PLEASE HELP ME WITH THIS IM IN A HURRY PLEASE
Answer:
A
Step-by-step explanation:
A
Find the indicated side of the triangle
Answer:
plz upload photo for your question
Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = B = and C = {1, 3, 7}. Find the following. (Enter your answers as a comma-separated list.) A ∪ B
Answer: C = {1, 3, 7}
Step-by-step explanation:
if one point is located at (-5,3) and another point is located at (7,-4). find the distance between the points. round to the nearest tenth.
Answer:
13.9
Step-by-step explanation:
Use the distance formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\d = \sqrt{(7 - (-5))^2 + (-4-3)^2}\\d = \sqrt{(12)^2 + (-7)^2}\\d = \sqrt{144 + 49}\\d = \sqrt{193}\\[/tex]
The square root of 193 rounded to the nearest tenth is 13.9.
PLEASE HELP 100 points to who ever gives me the answer Compare the numbers using >, <, or =.
a) -2 3
b) |-12| |15|
c) 3 -4
d) |15| |-12|
e) 7 -11
Answer:
a) -2 < 3
b) |-12| < |15| (the absolute value of -12 is 12 so that's comparing 12 to 15)
c) 3 > -4
d) |15| > |-12|
e) 7 > -11
math, i can give you brainliset just help me with the two questions :)
Answer:
2. the interquartile range is 20
3. 80 is the median.
Step-by-step explanation:
have a nice day.
Mr. Notar is shopping for a crib for his new baby. He finds a coupon for 15% off. If the crib originally costs $450, how much will he save with the coupon?
Please help!!!!!!!!!
Answer:D
Step-by-step explanation:
On a blueprint, a 1 in. scale corresponds to 7 ft. To show a room with actual dimensions 35 ft wide by 16 ft long, what dimensions (in inches) should be shown on the blueprint?
4 = x + 12 PLEASE HELP QUICK
Answer:
x= -8
Step-by-step explanation:
Move the terms
Calculate: -x=12-4 = -x=8
Change the signs
SOLVE THESE PROBLEMS CORRECTLY TO BE MARKED BRAINLIEST!
1. Sophie wrote a two-digit number on the board. Max wrote the digit 3 to the right of it and got a number that is bigger than the Sophie's number by 372. What number did Sophie write on the board?
2. Some kids went on a bike ride. The ride was six hours long and the kids traveled 54 miles. For part of the ride they biked at a speed of 7 mph and for part of the ride they biked at a speed of 11 mph. For how long did they bike at the first speed, and for how long at the other speed?
3. I left Boston for Washington, DC, at 7:00 am. At first, my speed was 55 mph; then it was 75 mph. I traveled 630 miles in 10 hours. At what time did I begin to drive faster?
Thanks!
Answer: 1= 41
2= 3 hours biking at the other speed.
3= We began to drive at 75 mph at 1:00 p.m
Step-by-step explanation:
3= x/55 + (630 - x)/75 = 10
75x + 55 * (630 - x) = 41,250 (4,125 as Lowest common multiple)
75x + 34,650 - 55x = 41,250
20x = 41,250 - 34,650 (Subtracting 34,650 at both sides)
20x = 6,600
x = 6,600/20
x = 330 ⇒ 630 - x = 300
Time we drove at 55 mph = 330/55 = 6 hours
Time we drove at 75 mph = 300/75 = 4 hours
We began to drive at 75 mph at 1:00 p.m. (7 am + 6 hours)
hope this helps :)
Solve -a + 7 = 2a - 8. a=5 D a= 15 a -3 = B a
WILL MARL BRAINLEST
A full lake begins dropping at a constantrate. After 4 weeks it has dropped 3 feet.What is the unit rate of change in the lake’slevel compared to its full level?
A.0.75 feet per week
B.1.33 feet per week
C. −1.33 feet per week
D.−0.75 feet per week
1
Answer:
A is the answer
Step-by-step explanation:
A is the answer
Can you help me here is the inage
Answer:
150x=y
Step-by-step explanation:
2x150=300
4x150=600
6x150=900
8x150=1200
How can you use tables, graphs and equations to compare functions
Answer:
A graph is a chart or drawing that shows the relationship between changing things.
- They are a diagram displaying the relationship between numbers or amounts.
- A graph is one of the easiest ways to compare numbers.
- A graph or chart is used to present facts in visual form.
- They are a drawing that displays the relative sizes of numerical quantities.
- Graphs can be used to illustrate many types of data.
- They should be used to make facts clearer and more understandable.
- it shows trends over time.
- Forceful -- Emphasizes main point
- Convincing -- proves a point, see and hear
- Compact way to convey information
- More interesting than just talk or print
- Quick way for the audience to visualize what you are saying -- numbers trends up or down
- To bring facts to life
- To show and compare relationships
- To show and compare changes
- They are much easier to understand then a large
table of numbers
- without
the need to understand what each and every number in a table means.
They help you visually see the difference between two or more values.
Hope this helps!
Two times a number x, less 15, is greater than or equal to 4 times the number y
Answer:
2x - 15 ≥ 4y
Step-by-step explanation:
A car travels 46 feet in one sec . At this speed about how many feet will the car trave in 2 sec
Answer:
92 feet.
Step-by-step explanation:
Plzz help mee I am timed
Answer:
A or D
Step-by-step explanation:
I cant totally remember, but a and d make sense. sorry, I learned about this in 6th
WHAT ARE THESE TWO ILL GIVE BRAINLESS AND SHOW UR WORK
Help, please. The question is down below. I give brainliest. Please anyone help.
Answer:
25%
hope this helps
Convert the angle −4.5 radians to degrees, rounding to the nearest 10th
Answer:-257.8
Step-by-step explanation:
i need help with b and jk
Answer:
b = 1
JK = 3
Step-by-step explanation:
5b - 2 = 9b - 6
4b = 4
b = 1
JK = 3
Can you help me image is here which 2 Should I drag
Answer:
54, 63
Step-by-step explanation:
6 x 9 = 54
7 x 9 = 63
pretty pls help with this questionn pls i need helpp
