Answer:
[tex]F = 27N[/tex]
Step-by-step explanation:
Given
Force directly proportional to acceleration
Force = 21N when Acceleraion = 7m/s^2
Required
Determine the force when acceleration = 9m/s^2
The variation between force (F) and acceleration (A) implies that:
[tex]F\ \alpha\ \ A[/tex]
Convert to an equation
[tex]F = mA[/tex]
Where m is constant.
When F = 21 and A = 7, we have:
[tex]21 = m * 7[/tex]
Solve for m
[tex]m = \frac{21}{7}[/tex]
[tex]m = 3[/tex]
When A = 9
Substitute 9 for A and 3 for m in [tex]F = mA[/tex]
[tex]F = 3 * 9[/tex]
[tex]F = 27N[/tex]
Two stores sell a certain product. Store A has 45% of the sales, 3% of which are of defective items, and store B has 55% of the sales, 4% of which are of defective items. The difference in defective rates is due to different levels of pre-sale checking of the product. A person receives one of this product as a gift. What is the probability it is defective
Answer:
[tex]Probability = 0.0355[/tex]
Step-by-step explanation:
Given
Stot A:
[tex]Sales = 45\%[/tex]
Defective = 3%
Store B
[tex]Sales = 55\%[/tex]
Defective = 4%
Required
Determine the probability a product received is defective.
First, we calculate the probability that the defective product is from store A
[tex]Probability = P(Sales) * P(Defective)[/tex]
[tex]P_A = 45\% * 3\%[/tex]
Convert to decimals
[tex]P_A= 0.45 * 0.03[/tex]
[tex]P_A= 0.0135[/tex]
Next, we calculate the probability that the defective product is from store B
[tex]P_B= 55\% * 4\%[/tex]
[tex]P_B= 0.55 * 0.04[/tex]
[tex]P_B= 0.022[/tex]
The product may come from either stores.
So, the probability of having a defective product is:
[tex]Probability = P_A + P_B[/tex]
[tex]Probability = 0.0135 + 0.022[/tex]
[tex]Probability = 0.0355[/tex]
Answer:
Probability of 0.0355
Step-by-step explanation:
-6 (y + 15) = -3y + 6
What value of y makes the equation true?
Answer: y=-32
Step-by-step explanation:
1. Simplify:
-6y-90=-3y+6
2. Add like terms:
-96=3y
=> y=-32
Have a nice day! :)
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $700 and the daily rate for each partner is $1700. The law firm assigned 4 more partners than associates to the case and was able to charge the client $21200 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.
Let the daily rate of each associate, A = $700
And the daily rate of each partner, P = $1700
Let the total number of individuals involved in the case = NT
Total number of partners = NP
Total number of associates = NA
NP + NA = NT -------- (i)
From the question; NP - NA = 4 -------- (ii)
From (i), NA = NT - NP
Substitute in (ii) as: NP - (NT - NP) = 4
Therefore, 2NP - NT = 4.
And NP = 2 + (NT/2) --------- (iii)
Substitute for NP in (i) above: NT = NA + 2 + (NT/2)
Therefore, NT - (NT/2) - 2 = NA.
NA = (NT/2) - 2 ---------- (iv)
Finally, the total daily rate was $21200. This is a composite of the daily rate and numbers of both associates and partners.
Therefore, (A * NA) + (P * NP) = $21200 ---------- (v)
To find the individual number of associates and partners involved in this case, first substitute the values of NP and NA from (iii) and (iv) respectively into (v) such that the only variable in (v) is NT.
Solve for NT and then use the value to find NP and NA.
NT = 16
NP = 10
NA = 6
Notice that 10 - 6 = 4. Q.E.D
Hope this helps.
Answer:
p=a+4
Step-by-step explain:
Let a=the number of associates designated
let p=the number of partners designated
Write System of Equations:
700a+1700p=21200
Reduce 13/2+1 3/4+ 2 5/6=
Answer:
[tex]\frac{35}{3}[/tex] or [tex]11 \frac{2}{3}[/tex]
Step-by-step explanation:
Just add them
The logarithmic property
[tex] log_{b}(m) - log_{b}(n) [/tex]
=
[tex] log_{b}( \frac{m}{n} ) [/tex]
can be proven by using which exponential property.
Answer:
using divisional law of indices logab-logan=log(b/n)therefore logbM-logbN=logb(M/N)
The chart below shows the rabbit and fox populations in boxerville over the last year. In which month was the rabbit population smallest?
Answer:
It is C. May
Step-by-step explanation:
Hope this helped have an amazing day!
In the month of may the rabbit population is smallest, option C is correct.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A bar graph is the representation of numerical data by rectangles of equal width and varying height.
In the given chart the red bars shows the population of rabbits
the blue bar shows the population of the fox
From the given graph we have to find the month where the rabbit population is smallest.
The red bar is smaller in the month of may which represents that the population is small.
Hence, in the month of may the rabbit population is smallest.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ7
If the homogeneity of variance assumption is violated in an independent groups t test, this means _________. the populations from which the samples were drawn have different standard deviations you should use the sign test the sample sizes should be equal and N greater than 30 to use the t test the populations from which the samples were drawn have different standard deviations and the sample sizes should be equal and N greater than 30 to use the t test
Answer:
the populations from which the samples were drawn have different standard deviations
Step-by-step explanation:
Given that the assumption of homogeneity of variance is the same as the assumption of the independent samples t-test which asserted that all comparison groups possess the same variance
Therefore, if the homogeneity of variance assumption is violated in an independent groups t-test, this means "the populations from which the samples were drawn have different standard deviations."
Please I really need help
Answer:
is the answer 3 times?
I wanna confirm lol
please help me! plssssss
Answer:
1 hour and 15 minuets
Step-by-step explanation:
5 hours and he was hedging for 25% of that time.
25%=.25
5(0.25)
1.25
A quarter of an hour is 15 minutes.
So the final answer would be 1 hour and 15 minuets.
identify a value k that makes (x+5) a factor of x^3+kx^2-x+45
will mark brainliest
Answer:
We should attempt synthetic division to find when
x
3
−
k
x
2
+
2
k
x
−
15
x
−
3
has a remainder of
0
, which would signify that it is a factor of the polynomial.
The synthetic substitution would be set up as:
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
−−−
−−−
−−−
|
0
Treating the synthetic division like any other synthetic division problem, we see that
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
3
−−−−−−−−
−
3
k
+
9
−−−−−−−−
−
3
k
+
27
−−−−−−−−−
1
−
k
+
3
−
k
+
9
|
0
If the remainder equals
0
, then we know that
−
3
k
+
27
+
(
−
15
)
=
0
Solve this to see that
k
=
4
.
Thus,
(
x
−
3
)
is a factor of
x
3
−
4
x
2
+
8
x
−
15
.
Just need answer no explanation
Answer:
I have no idea, sorry
Step-by-step explanation:
An object has a density of 40 g/cm
and a volume of 50 cm? What is
cm
the mass of the object?
Answer:
80
Step-by-step explanation:
What is the perimeter, in feet, of the polygon 15 22 10 18 14?
Answer:
79 feet
Step-by-step explanation:
The perimeter is all the sides added together.
15+22+10+18+14 =
79 feet
please give thanks :)
if answer is incorrect, your question is not clear enough. this is the best answer I can provide.
Step-by-step explanation:
check the answer it is as same
Can someone help and explain this question please thank you so much I appreciate
Answer:
$176.23
Step-by-step explanation:
(13x12)+(0.07x289)=
156+20.23=
$176.23
a philanthropist deposits 2,000$, in a trust fund that pays 6.0%interest , compunded continuously. The balance given to the college from which the has earned interest for 20 years. How much will the college receive? round to the nearest tenth
Answer:
$6414
Step-by-step explanation:
Step one
given
Principal=$2,000
rate= 6%= 0.06
Time= 20 years
Required
The final amount
Step two:
The compound interest formula is
A= P(1+r)^t
substituting we have
[tex]A=2000(1+0.06)^2^0\\\\ A= 2000(1.06)^2^0\\\\ A=2000*3.207\\\\A=6414[/tex]
The amount given to the college is $6414
Help me pls I will rate u five stars and like it if it is correct and I will try to mark u brainiest
Answer:
1. 8 x 8 ÷ 2
2. 64 ÷ 2 = 32
Step-by-step explanation:
(7+1) becomes 8 and 8 x 8 becomes 64
64 ÷ 2 = 32
Need help not understanding it please thank you i appreciate it
Angle ADG, angle BEH and angle CFI, all have two curves in their angles. Same number of curves are used to represent that their measure are equal.
So, m angle CFI = m angle ADG
So, m angle CFI = m angle ADG=> m angle CFI = 92°
Need help ASAP!!!
Please helppp
EASY QUESTION FOR 20 POINTS!!!
If the motion of an object increased, which type of mechanical energy was gained by the object?
Group of answer choices-
chemical energy
gravitational potential energy
kinetic energy
electromagnetic energy
Answer:
C. Kinetic energy.
Step-by-step explanation:
Kinetic energy is the energy an object has due to it's motion, since the motion of the object increased, it gained kinetic energy.
Answer:
Kinetic energy!
Step-by-step explanation:
Marriage Prospects Data released by the Census Bureau in 1986 indicated the likelihood that never-married women would eventually marry. The data indicated that the older the woman, the less the likelihood of marriage. Specifically, two statistics indicated that women who were 45 and never-married had an 18 percent chance of marriage and women 25 years old had a 78 percent chance of marriage. Assume that a linear fit to these two data points provides a reasonable approximation for the function p=f(a), where p equals the probability of marriage and a equals the age of a never- married woman. (a) Determine the linear function p=f(a). (b) Interpret the slope and p intercept. (c) Do the values in part b seem reasonable? (d) If the restricted domain on this function is 20 sa s 50, determine f(20), f(30), f(40), and f(50).
Answer:
See below
Step-by-step explanation:
Using the two pairs of (a, p) to determine the function:
(45, 18) and (25, 78)The function would be:
f(a) = ma + b, where m is slope, b is p-interceptSlope is:
m = (78 - 18)/(25 - 45) = -50/20 = -2.5p-intercept:
18 = -2.5*45 + bb = 18 + 112.5 = 120.5So the function is:
(a)
f(a) = -2.5a + 120.5(b) Slope is negative, indicating the lower probability at greater age. P-intercept of 120.5 is of the non-real case as for zero age it gives more than 100% probability.
(c) The domain needs restriction in line with law, so minimum age and maximum to be determined in order not to have unrealistic outcome. It should be ok between 18 and 48.
(d) The values at given points:
f(20 = -2.5*20 + 120.5 = 70.5f(30) = -2.5*30 + 120.5 = 45.5f(50) = -2.5*50 + 120.5 = -4.5 (negative probability for the age of 50 is not real)what is the slooe of the following equation y =-×+1
Answer:
-1
Step-by-step explanation:
slope is always the coeffcient* the number beside the variable
What is the simplified value of the expression below? -2.6+5.8
Answer:
3.0
Step-by-step explanation:
5.8-2.6=3.2 simplified 3.0
a company pays its employees and average hourly wage of 36.25 with a standard deviation of 6.50 more than 23.22 of 36 employees are randomly selected, what is the probability that their mean wage is more than 23.22
Answer:
P [ X > 23,22 ] = 0,8798 or P [ X > 23,22 ] = 87,98 %
Step-by-step explanation:
P [ X > 23,22 ] = 1 - P [X ≤ 23,22 ]
P [X ≤ 23,22 ] = ( X - μ₀ ) / σ /√n
P [X ≤ 23,22 ] = ( 23,22 - 36,25 )/ 6,50/√36
P [X ≤ 23,22 ] = - 13,03 *6 / 6,50
P [X ≤ 23,22 ] = - 12,02 or P [X ≤ 23,22 ] = 12,02 %
(note the - sign only mean that values on the left tail of the bell shape curve)
Then
P [ X > 23,22 ] = 1 - 0,1202
P [ X > 23,22 ] = 0,8798 or P [ X > 23,22 ] = 87,98 %
8+6t-3t+t
I’ll mark brainliest and 10 points I need ASAP
Answer:
8+4t
Step-by-step explanation:
combine 3t and t then do 6t - 4t getting 8+4t
This one might not look familiar yet, but it's very similar to the distance problems you've already seen.
My car gets 22 miles per gallon. How far can my car travel on 8 gallons of gas?
Question 5 options:
0.36 miles
2.75 miles
30 miles
176 miles
Answer:
176.
Step-by-step explanation:
Please help me fast!!! Kevin made chili for a football party. He started making the chili at 1:00 P.M. It took 45 minutes to prepare and assemble the ingredients. Then, the chili had to simmer for 45 minutes. What time was the chili ready?
Include A.M. or P.M. in your answer.
Answer:
It was ready at 2:30 pm :)
3/8 x 4/9? Plz help I’m doing a test lol
Answer: 0.16666666666
Decide, for each of the statements below, if they are true or false. a) We use bootstrap distributions as a tool to calculate p-values b) The spread of the bootstrap distribution resembles the spread of the sampling distribution c) Each bootstrap statistic is calculated from a bootstrap sample formed by drawing an entirely new sample from the population
Answer:
a) True
b) True
C) false
Step-by-step explanation:
just a guess..... Merry Christmas
Rachel’s penny bank is 1/2 full. After she adds 120 pennies, it is 7/10 full. How many pennies can Rachel’s bank hold?
Answer:
600 pennies
Step-by-step explanation:
to start you need to understand that 1/2=5/10 so if we start with the bank 5/10 full and she adds 120 pennies that goes up 2/10. so that means 1/10 of the bank holds 60 pennies. so to find the answer you need to multiply the 60 pennies by 10, because 10*60 would be equal to the entire bank.
I really need help please asap
Answer:
[tex]\sqrt{8 m^{6} n^{3}}[/tex]
Step-by-step explanation: