Answer:
x = -8
Step-by-step explanation:
-3x -6 = 18
-3x = 24
x = -8
please help me with these problems.... please answer all the questions with the method I already started with... due at 11:59pm TODAY
Step-by-step explanation:
Howdy, did you do a, b, and c by yourself? Because there are some slight issues, so I'll do my best to explain.
a. 3x+5x
We know that x=2, so we can substitute 2 in for x right now, or we can combine like terms.
3x and 5x both have the variable x so we can add them easily to get 8x. If you substitute in 2, you're just multiplying 8×2, which is 16.
b. 5z+4z+z
Again, since
we know that z=-3, we can substitute in now, or we can combine like terms first. 5z, 4z, and z all have the variable x, we addition is easy. 5+4+1=10, so you'll have 10z. Substitute in -3 for z, and you're just multiplying 10×-3=-30
c. 3x+6+5x
This is trickier since 6 doesn't have the variable x. So to combine like terms means to only add 3x and 5x. So the equation will turn out looming like 8x+6. now substitute in 2 for x and you get
8(2)+6
16+6
22
d. 8y+8-4y
Combine like terms
4y+8
substitute in 5 for y
4(5)+8
20+8
28
e. 5z-4z+z
combine like terms
z+z
2z
substitute -3 for z
2(-3)
-6
f. 3x+6+5x-2
combine like terms
(so that's 3x+5x and 6-2)
8x+4
substitute in 2 for x
8(2)+4
16+4
20
g. 8y+8-4y-3
combine like terms
8y-4y+8-3
4y+5
substitute in 5 for y
4(5)+5
20+5
25
h. 5z-4z+z-3z
combine like terms
-z
substitute in -3 for z
-(-3)
double negatives make a positive
3
The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.9 cm. a. Find the probability that an individual distance is greater than 207.50 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 193.50 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30
Answer:
a) P(X > 207.50) = 0.0808
b) P(X-bar > 193.5) = 0.7734
c) It matters only in sampling distribution when we does not know the shape of distribution.
Step-by-step explanation:
Given - The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.9 cm.
To find - a. Find the probability that an individual distance is greater than 207.50 cm.
b. Find the probability that the mean for 20 randomly selected distances is greater than 193.50 cm.
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30 ?
Proof -
Given that,
μ = 195 cm
σ = 8.9 cm
a)
P(X > 207.50) = 1 - P(X < 207.5)
= 1 - P(Z < [tex]\frac{207.5 - 195}{8.9}[/tex] )
= 1 - P(Z < 1.4)
= 1 - 0.9192
= 0.0808
⇒P(X > 207.50) = 0.0808
b)
n = 20
μₓ- = μ = 195
σₓ⁻ = [tex]\frac{\sigma}{\sqrt{n} }[/tex] = [tex]\frac{8.9}{\sqrt{20} }[/tex] = 1.99
Now,
P(X-bar > 193.5) = 1 - P(X-bar < 193.5)
= 1 - P(Z < [tex]\frac{193.5 - 195}{1.99}[/tex] )
= 1 - P(Z < -0.75)
= 1 - 0.2266
= 0.7734
⇒P(X-bar > 193.5) = 0.7734
c)
Given that If the population is normally distributed , then the sample does not have to be greater than 30.
It matters only in sampling distribution when we does not know the shape of distribution.
plot two points that are seven units from point c and also share the same y coordinates as point c
ANSWER IT QUICK PLEASE.
DUE AT 3:00PM
Answer: 8 , -4 I think
Step-by-step explanation:
Answer:
The real answer is (8, -4) and (-6, -4)
P = kQ
a) direct
b) inverse
c) joint variation
PLEASE HELP!! WILL MARK BRAINIEST!!
According to Newton's Second Law, if force equals 17 N and acceleration equals 8 m/s2, what is the mass in kilograms?
Answer as a number, rounded to the nearest thousandth?
Answer:
2.13kg
Step-by-step explanation:
fnet=ma
17=m(8)
17÷8 =m
2.13=m
Answer:
The mass is 2¹/₈, or 2.125, kg
Step-by-step explanation:
We know that force is equal to mass times acceleration, so given a force of 17 newtons and an acceleration of 8m/s², we can say:
[tex]f = ma\\m = f/a\\m = \frac{17\ N}{8\ m/s^2}\\m = \frac{17\ kg\times m/s^2}{8\ m/s^2}\\m = 17/8\ kg\\m = 2.125 kg[/tex]
giving us a mass of 2¹/₈, or 2.125 kg.
help mee pleaseeeeee
Answer:
Option 1
Step-by-step explanation:
Fill in the missing values in the ratio table:
Answer:
180 and 2.5
Step-by-step explanation:
for the second collum over 3 it would be 180
For the one under 150 it would be 2.5
let me know if you need a better explanation
Answer:
3=45 150=5
Step-by-step explanation:
how do you solve the inequality -8x is greater than 72
Answer:
8n < 72
Step-by-step explanation:
Eight times a number (n) is less than 72.
what does 5 cards to 7 cards mean?
Answer:
That is a ratio. Like for every 5 blue cards there are 7 red cards, read the context and you'll be able to see the ratio.
Step-by-step explanation:
Hope this helps :)
someone help with math:
For which equation is b = 5 not the solution?
options:
1. 8 - b = 13
2. b + 6 = 11
3. b + 4 = 9
4. 12 - b = 7
Answer:
option 2 and 3
b+6=11
b+4=9
Answer:
1. 8 - b = 13
Step-by-step explanation:
It says for which equation is b = 5 not the solution.
So, we need to plug in 5 into every b, and find out which one is incorrect.
1. 8 - 5 = 13 (incorrect)
2. 5 + 6 (correct)
3. 5 + 4 = 9 (correct)
4. 12 - 5 = 7 (correct)
Therefore, option 1 is the answer to your question.
Find the GCF of the numbers. 8, 16
Answer:
8
Step-by-step explanation:
Answer:
What is the Greatest Common Factor of 8 and 16? Greatest common factor (GCF) of 8 and 16 is 8.
hope it help plz heart and vote plz po..Baba Yaga lost her broom somewhere between her hut and Bald Mountain, and wants to get it back. She calculates that with a tailwind of 2 km/ h, she can fly from her hut to Bald Mountain in 6 hours. Baba Yaga starts her trip, finds her broom 40 km before Bald Mountain, and turns around and flies home. The entire journey takes 9 hours. Find the speed Baba Yaga flies in quiet weather (with no tailwind or headwind).
Answer:
18 km/hStep-by-step explanation:
Let the speed of Baba Yaga is x
The speed with tailwind: x + 2The speed with headwind: x - 2The distance to Bald Mountain:
6(x + 2)The distance she actually travelled is less by 40 km:
6x + 12 - 40 = 6x - 28The time she spent:
(6x - 28)/(x+2) + (6x - 28)/(x -2) = 9Solve for x to find the speed:
((6x + 12) - 40)/(x + 2) + ((6x - 12) - 16)/(x - 2) = 96 - 40/(x + 2) + 6 - 16/(x - 2) = 940/(x + 2) + 16/(x - 2) = 340(x - 2) + 16(x + 2) = 3(x+2)(x - 2)40x - 80 + 16x + 32 = 3x² - 123x² - 56x + 36 = 0Solving the quadratic equation we get:
x = 18 km/h(x = 2/3 discounted as not realistic)i have two bags of marbles. The first bag contains 4 red marbles, 2 blue marbles, and 3 green marbles. The second bag contains 6 red marbles, 3 blue marble, and 6 green marbles. I will randomly select one marble from each bag.
What is the probability that i will select a green
marble from each bag?
A.2/15
B.1/135
C.1/3
D.11/15
Answer:
1/3
Step-by-step explanation:
You add up the amount in each bag then you take the amount of green then that will be the answer but since there is 2 bags it is 1/3
Ms. Perry spent $2000 to buy some new computer equipment. Of this money, $120 was used to
buy some new keyboards. What percent of the money was spent on keyboards?
Answer: 6%
Step-by-step explanation: Step 1: We make the assumption that 2000 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=2000$.
Step 4: In the same vein, x%=120.
Step 5: This gives us a pair of simple equations:
100%=2000(1).
x%=120(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
[tex]\frac{100\%}{x\%}=\frac{2000}{120}[/tex]
Step 7: Taking the inverse (or reciprocal) of both sides yields
[tex]\frac{x\%}{100\%}=\frac{120}{2000}[/tex]
[tex]\Rightarrow x=6\%[/tex]
Therefore, 120 is 6% of 2000$.
What is the ratio as a fraction 9 and 6
Answer:
9/15 will become 3/5 and 6/15 will become 2/5.
Which is the equation for the line that has a slope of 12 and passes through the point (3, 20)?
y = 12x - 16
y = 12x + 16
y = 16x - 12
y = 16x + 12
Answer:
the first one
Step-by-step explanation:
y-y1=m(x-x1)
y-20=12(x-3)
[tex]y-20+20=12\left(x-3\right)+20[/tex]
simplify:
[tex]y=12x-16[/tex]
Math help please what is the line grsph
A rotating lawn sprinkler sprays water in a circular area of grass. the Diameter of the grass shown is 10 feet. What is the area of the grass covered by the sprinkler water?
Answer:
The area of the grass covered by the sprinkler water is approximately 78.54 feet^2
Answer:
78.54 feet
Step-by-step explanation:
10 is the diameter so 5 is the radius,
A = πr2 = π·52 ≈ 78.53982
6xq=54 what is q? PLEASE HURRY THIS IS DUE TOMORROW!!!!!!!!!
which equation represents the linear function that is shown on the graph
Answer:
Y = (1/2)x - 2
Step-by-step explanation:
To compose a linear equation, always use the form
Y = Mx + C where C is the y-intercept and M is the gradient.
In this case, pick any 2 points on the graph to solve for M
e.g (8,2) and (6,1)
Gradient = (2 - 1) /(8 -6) given by (y1 - y2) / (x1 - x2) = 1 / 2
Substitute into the form, we get
Y = (1/2)x + C
Now, we use any point again on the graph,
e.g (6,1) and substitute as (x, y) into the above function.
We will get 1 = (6)(0.5) + C
C = -2
Piece them up and u get the full function.
PLS PLS PLS HELP ME
Answer:
A) x > -5
Step-by-step explanation:
i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks
81+54x because 9 *9 = 81 and 9*6 is 54 and add the x to it and put it all together.
Help needed Asap on calc practice problems
The angle -456° terminates in which quadrant?
Answer:
Step-by-step explanation:
n o The angle terminates in Quadrant II In degrees, the reference angle for the given angle is 30°.
is 32/24 equivalent to 12/9
Answer:
32/24 is equivalent to 12/19
yes
What is $6.977 rounded to the nearest cent
Answer:
6.98
Step-by-step explanation:
You just round the seven up
Please and I’ll give Brain list to you
Answer:
e
Step-by-step explanation:
e
Answer:
6
Step-by-step explanation:
Help needed Asap on calc practice problems
Answer:
Integrate from 3 to 1 and then you should get 4/3
So C.
⚠️PLEASE HELP⚠️
What is the value of the interquartile range of the data below?
25
30
35
40
45 50
Answer:
5
Step-by-step explanation:
The value of the interquartile range of the data below is 5.
What is Interquartile Range?The difference between the third and the first quartile is defined by the interquartile range. There are so three quartiles.
The first quartile, also known as the lower quartile, is marked by Q1, the second quartile by Q2, and the third quartile, sometimes known as the upper quartile, is denoted by Q3. The lower quartile less the upper quartile equals the interquartile range.
From the Plot we can write
Minimum = 27
Lower quartile = 32
Median = 36
Upper Quartile = 37
Maximum = 40
So, Interquartile range (IQR)
= Third Quartile (Q3) - First Quartile (Q1)
= 37 - 32
= 5
Learn more about IQR here:
https://brainly.com/question/16361595
#SPJ7
A large factory that builds machines has three shifts, one that starts at 4:00 A.M., one that starts at noon, and one that starts at 8:00 P.M. The manager of the factory wanted to know whether there is an association between an employee’s work experience (less than five years with the company, between five and twenty years with the company, over twenty years with the company) and the time of the employee’s shift. The manager selected a random sample of 125 employees and classified employees by their shift time and work experience. What is an appropriate pair of hypotheses for the manager to use?
Answer:
if the worker has more experience, then they will have longer shifts because they will be better at their job and be able to complete more tasks.
Step-by-step explanation:
use and "if then because" structure in a hypothesis, and use common logic based on the info provided :)
Answer:
[tex]H_{0}[/tex] : Work experience is independent of the time of an employee's shift
[tex]H_{A}[/tex] : Work experience is dependent on the time of an employee's shift
Step-by-step explanation:
Since we have one population but multiple variables, so we are using a chi-square test of independence. Thus, our null should be that there is no association, and the alternative that there IS an association.