Answer:
(u – t)(u² - 12) is equal to 0.5.
Step-by-step explanation:
First let's find u and t:
Given u + t = 5, and u - t = 2
We'll substitute one of those into the other equation.
Let's solve the second one for u:
u - t = 2
u = 2 + t
Now we can substitute that definition into the first equation:
u + t = 5
(2 + t) + t = 5
2 + 2t = 5
2t = 3
t = 1.5
Now we can substitute that into either of the original equations to find u:
u = 2 + t
u = 2 + 1.5
u = 3.5
So t = 1.5 and u = 3.5. Now we can substitute them into the given expression to solve it:
(u – t)(u² - 12)
= (3.5 – 1.5)(3.5² - 12)
= (3.5 – 1.5)(12.25 - 12)
= 2 × 0.25
= 0.5
Answer:
0.5
Step-by-step explanation:
You know that u-t is 2, so it'll be 2([tex]u^{2}[/tex] -12)
Now, system of equations to solve for u. if u+t=5, this means t=5-u, you can plug it in into u-t=2, so u-(5-u)=2. Now you know that u is 3.5, so do the calculations.
help!!!!!!!!!!!!!!!!!!!
Answer:
D. 1/5
Step-by-step explanation:
Because
0.2222...>0.2>0.12
Given that y2 is directly proportional to the cube of x and y is always positive. Find the
value of. when x = 3 if y = 18 when x =4
A) 27 B) 11.67 C) 29
Answer:
11.69
Step-by-step explanation:
Given that y2 is directly proportional to the cube of x and y is always positive. then;
y² = kx³
if y = 18 when x =4
18² = k4³
324 = 64k
k = 324/64
k = 5.0625
To get y when x = 3
Recall
y² = kx³
y² = (324/64)3³
y² = 324/64 * 27
y² = 136.6875
y = √136.6875
y = 11.69
Hence the value of y is 11.69
value of. when x = 3 if y = 18 when x =4
A) 27 B) 11.67 C) 29
y is directly proportional to the positive square root of( x+2)² when x = 8 y= 250 find y when x = 4
Answer:
150
Step-by-step explanation:
Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that
y=ksqrt((x+2)^2)
We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.
250=ksqrt((8+2)^2)
250=ksqrt((10)^2)
250=k10
250/10=k
25=k
So for any pair (x,y) we have the relation y=25((x+2)^2).
We are asked to find y when x=4.
y=25((4+2))^2
y=25(6)
y=150
Test to see if y is proportional to sqrt((x+2)^2)
For the given points: 250/150=10/6
The equation is true so we're great.
Three plants manufacture hard drives and ship them to a warehouse for distribution. Plant I produces 54% of the warehouses inventory with a 4% defect rate. Plant II produces 35% of the warehouses inventory with an 8% defect rate. Plant III produces the remainder of the warehouses inventory with a 12% defect rate. (a) (5 points) A warehouse inspector selects one hard drive at random. What is the probability that a randomly selected hard drive is defectiv
Answer:
A. 0.028
B. 0.0628
C. 0.45
Step-by-step explanation:
A. Calculation to determine the probability that it is adefective hard drive and from plant II
Using CONDITIONAL PROBABILITY formula
P(B∩A2) =P(A2)P(B|A2)
Let plug in the formula
P(B∩A2)= 0.35×0.08
P(B∩A2)= 0.028
Therefore the probability that it is adefective hard drive and from plant II will be 0.028
B. Calculation to determine the probability that a randomly selected hard drive is defective
Using LAW OF TOTAL PROBABILITY formula
P(B) =P(A1)P(B|A1) +P(A2)P(B|A2) +P(A3)P(B|A3)
Let plug in the formula
P(B)= 0.54×0.04 + 0.35×0.08 + 0.11×0.12
P(B)=0.0216+0.028+0.0132
P(B)= 0.0628
Therefore the probability that a randomly selected hard drive is defective is 0.0628
C. Calculation to determine the probability that it came from plant II
Using CONDITIONAL PROBABILITY formula two twice
P(A2|B) =P(A2∩B)/P(B)
Let plug in the formula
P(A2|B)=0.0280/0.0628
P(A2|B)= 0.45
Therefore the probability that it came from plant II is 0.45
PLease help!!!! NO LINKS!! Will mark brainliest for right answer!!
Which answer below represents the number of solutions the graph of a linear function and a quadratic function could have?
A) 2
B) 4
C) 5
D) 3
Answer:
b
it's b bbbbbbbbbbbbbb
Answer:
The answer would be A I believe
Step-by-step explanation:
BESTIES PLEASE HELP ME
26) Cary hiked 18 miles in 6 hours. If he continues at the same pace, how much farther can he hike in the next 2 hours?
27) Harry made 4 hits in 9 times at-bat. If she keeps the same success level, how many hits should she make in 18 times
at-bat?
28) In how many ways can 18 hikers be organized into 2 or more groups for trail clearing if all groups have the same number of hikers?
Mixed Review
Use the rules of divisibility to solve each problem below. Tell whether each number is divisible by 2, 3, 4, 5, 6, 9, or 10.
29) 12
30) 30
31) 360
32) 96
Answer:
same question
Step-by-step explanation:
1800=3×N
help asap plzzz
A bag contains 8 red M&Ms, 12 blue M&Ms, 3 brown M&Ms, and 7 green M&Ms. An M&M is picked at random from the bag. What is the probability of getting the first color M&M, eating it, then grabbing the second color? Green, then another green:
Answer:
7/145
Step-by-step explanation:
7/30x6/29=42/870 = 7/145
If the function f (2) 3x2 + bx + 2 has no real roots, which of the following could be the value of b? -7, -1, 8, 0
10
Answer:
b could be -1 or 0
Step-by-step explanation:
f(x) = 3x^2 +bx+2
if it has no real roots, the discriminant must be less than zero
b^2 -4ac <0
a=3 b=b c=2
b^2 - 4(3)(2) <0
b^2 - 24 <0
b^2 < 24
Taking the square root of each side
b< 2 sqrt(6) and b > 2 sqrt(6)
b could be -1 or 0
How many women must be randomly selected to estimate the mean weight of women in one age group. We want 90% confidence that the sample mean is within 3.7 lb of the population mean, and the population standard deviation is known to be 28 lb.
Answer: the required sample size = 155
Step-by-step explanation:
If the standard deviation of the prior study is known, then the formula to compute required sample size:
[tex]n=(\frac{z^*\times\sigma}{E})^2[/tex], where E = Margin of error, z* = Critical value, [tex]\sigma[/tex] = populion standard deviation.
Given: E = 3.7 , [tex]\sigma=28[/tex]
Critical value for 90% confidence = 1.645
Required sample size: [tex]n=(\frac{1.645\times28}{3.7})^2[/tex]
[tex]n=(12.4486486486)^2\approx155[/tex]
Hence, the required sample size = 155
Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.
Which equation represents this situation?
Answer:
n+(n+6)=24
Step-by-step explanation:
we know that he has 24 in total so it has to equal 24
we also know that he has 6 more marbles meaning he has n number of yellow marbles plus 6 and that will give you the total of the blue marbles he also has n number of yellow marbles that he has to add to the number of blue marbles to get the total of 24
Jose starts with $250 and spends $25 a week. Martin starts with $30 and saves $30 a week. When do Jose and Martin have the
same amount of money? Use for time and for saving.
Answer:
250-25=225 week 1
200=week 2
175= week 3
150= week 4
Martin
60= week 1
90= week 2
120=week 3
150= week 4
Step-by-step explanation:
A simple random sample of eight high school students' ACT scores gave the following data: What is a point estimate for μ, the mean test score for the population? a. A point estimate cannot be computed since the data for the whole population are not available. b. 235 c. 29.38 d. 4.84
Answer: c, is the correct option.
Step-by-step explanation:
The sample mean is the best point estimate for the population mean in a particular study.
Given data of scores: [tex]$\begin{array}{llllllll}27 & 30 & 20 & 29 & 28 & 36 & 34 & 31\end{array}$[/tex]
Sample mean = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]
[tex]=\frac{27+30+20+29+28+36+34+31}{8}\approx29.38[/tex]
Hence, a point estimate for μ, the mean test score for the population is 29.38
Thus , c. is the correct option.
Each (hypothetical) data set below represents some readings on span gas. Assume the Gauss model, with errors following the normal curve. However, bias may be present. In each case, make a t-test to see whether the instrument is properly calibrated or not. In one case, this is impossible. Which one, and why?
a. 71, 68, 79
b. 71, 68, 79, 84, 78, 85, 69
c. 71
d. 71, 84
Answer:
71 ( C ).
Step-by-step explanation:
The impossible case is the third case i.e.71
because there is only one reading on the span gas hence it is impossible to carry out a t-test on just one valid reading in an experiment.
Find the circumstance: ?
Help plz:)))I’ll mark u Brainliest
Answer:
[tex]tan^{-1}(\frac{12}{16})[/tex] = 36.87°
≈37°
If there are 8 people, and each person has 4 coins, there are ____ times as many coins as people.
Answer:
2 times
Step-by-step explanation:
Answer:
4 times
Step-by-step explanation:
8 x 4 = 32 total coins
32÷8 = 4
Therefore, there are 4 times as many coins as people.
Hope this helps! :)
Question 9
Two sides of a triangle have lengths 10 and 15.
What must be true about the length of the third side?
Greater than 5 but less than 25
Less than 15
Less than 25
Answer:
Two sides of a triangle have lengths 10 and 15.
What must be true about the length of the third side?
Greater than 5 but less than 25
Less than 15
Less than 25
Step-by-step explanation:
Eugene and Jenny are selling cookie dough for a school fundraiser. Customers can buy packages
of chocolate chip cookie dough and packages of gingerbread cookie dough. Eugene sold i
package of chocolate chip cookie dough and 10 packages of gingerbread cookie dough for a total
of $174. Jenny sold 4 packages of chocolate chip cookie dough and 2 packages of gingerbread
cookie dough for a total of $50. Find the cost each of one package of chocolate chip cookie
dough and one package of gingerbread cookie dough.
.
.
Two sides of a triangle have lengths 10 and 15.
What must be true about the length of the third side?
Greater than 5 but less than 25
Less than 15
Less than 25
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3 A random sample of 100 PUJ (public utility jeep) shows that a jeepney is driven on the average 24,500 km per year, with a standard deviation of 3,900 kilometers a Construct a 99% confidence interval for the average number of km a jeepney is driven annually b. What can we assert with 99% confidence about the possible size of our error if we estimate the average number of km driven by jeepney drivers to be 23, 500kn per year
Answer:
Step-by-step explanation:
[tex]a2 \div a - b + b2 \div b - a[/tex]
Answer:
0
Step-by-step explanation:
Given
a² ÷ a - b + b² ÷ b - a ← perform the division calculations
= a - b + b - a ← collect like terms
= 0
Answer:
0
Step-by-step explanation:
=a^2/a-b+b^2/b-a
=here denominator which divides a^2 and b^2 gets cancelled
=a-b+b-a
=+a-a and +b -b gets cancelled
and answer is 0
After receiving a discount of 14.5% on its bulk order of toner cartridges, John's Office Supply pays $6,498.00. What was the price of the order before the discount?
?Answer:
Step-by-step explanation:
Which ordered pair is NOT a solution to the inequality in the graph? (5,1) (4,6) (0,0) (-2,-8)
====================================================
Explanation:
The red shaded region is the solution set. In other words, if the point is in the red region, then it is a solution. A point like (0,0) is in the red area, so we cross that off the list. The same applies for (4,6) and (-2,-8) as well.
In contrast, a point like (5,1) is not in the red shaded area, so this point is not a solution. Hence it's the final answer.
Note: the solid boundary line means points on the boundary are considered solutions. A dashed boundary line would be used to exclude boundary points from the solution set. Solid boundary lines always go with "or equal to".
Refer to the drawing below if you need a visual of what's going on. I've plotted the four points on the graph given.
--------------------------
Here's an algebraic approach if you don't have a graph and only have the inequality. Ignore this section if you prefer the first section above.
If we plugged (x,y) = (0,0) into the inequality, then we get...
[tex]y \ge 2x-4\\\\0 \ge 2(0)-4\\\\0 \ge 0-4\\\\0 \ge -4\\\\[/tex]
That's a true statement because 0 is to the right of -4 on the number line, making 0 larger than -4. Since the last inequality is true, this makes the first inequality true. Furthermore, it algebraically confirms why (0,0) is a solution. You should find that (4,6) and (-2,-8) will lead to true statements as well, so they are solutions.
In contrast, (x,y) = (5,1) is not a solution because...
[tex]y \ge 2x-4\\\\1 \ge 2(5)-4\\\\1 \ge 10-4\\\\1 \ge 6\\\\[/tex]
which is false. The value 1 is not larger than 6, nor is it equal to 6.
A program evaluator wanted to know if a combination of experience and education gave leadership candidates an advantage in meeting job performance standards better than experience alone, or education alone. There were a total of 39 candidates who had both experience and education, and 200 candidates who had either experience or education. Of the candidates who had both experience and education, 21 met the standards, while 18 did not meet the standards. Of the candidates who had only experience or education, 100 met the standards, and 100 did not meet the standards.
Select the correct statistical test to determine if there is a relationship between preparation and meeting the standards, calculate the results, and communicate the results.
a. None of the choices are correct.
b. A Spearman rs is the best choice. The test reveals that there is a strong correlation between preparation and meeting the standards (rs = [237] = 1.00, p <.05). This means there is a relationship between the variables.
c. A chi-square test would be the best choice for examining observed data. The results are significant, (X- [1, N = 239] = 0.19, p<.05). This means that there was a relationship between preparation and meeting the standards, we reject the null hypothesis that the variables are independent.
d. A chi-square test would be the best choice for examining observed data. The results are not significant (X4 [1, N = 239] = 0.19, p > .05). This means that there was not a relationship between preparation and meeting the standards, we retain the null hypothesis that the variables are independent.
Answer:
pol
Step-by-step explanation:
help pleaseeeeeeeeeeeeeeeeeeeeeeeee
Answer:
it is number 2 just read it with an open mind
Step-by-step explanation:
help with this please
Answer:
( x + 2 ) and ( x - 11 )
Step-by-step explanation:
x² - 9x - 22 = 0
x² + 2x - 11x - 22 = 0
x ( x + 2 ) - 11 ( x + 2 ) = 0
( x + 2 ) ( x - 11 ) = 0
Factors of x² - 9x - 22 are ( x + 2 ) and ( x - 11 ).
Answer:
( x - 11 ) ( x + 2 )
Step-by-step explanation:
x² - 9x - 22 = 0
→ Write 2 factors which multiply to -22 and add to -9
-11 and 2
→ Put the factors into brackets
( x - 11 ) ( x + 2 )
to
Angle JKL is a straight angle.
The measure of angle MKL is 25°.
The measure of angle JKM is xº.
What is the value of x?
M
25°
K
n
Answer:
180-25=155 degrees
Step-by-step explanation:
36. Saudi Arabia has proven oil reserves of
2.63 x 1011 barrels. Kuwait has proven oil
reserves of 9.78 x 1010 barrels. Canada
has proven oil reserves of 1.789 x 1011
barrels. What are the combined proven
oil reserves of the three countries?
Answer:
5.397*10^11
Step-by-step explanation:
2.63*10^11
0.978*10^11
1.789*10^11
--------------
5.397*10^11
at what rate will £420 yield
£70 in 4 years
Answer:
4.17%
Step-by-step explanation:
Rate = interest earned / (principal x time)
70 / (4 x 420) = = 0.0417 = 4.17%
What is the fraction midway between 7/9 and 8/9
Answer:
5/6.
Step-by-step explanation:
This is (7/9 + 8/9) / 2
= 15/9 / 2
= 15/9 * 1/2
= 15/18 Now, dividing top and bottom by 3, we get:
5/6.
The required fraction midway between 7 / 9 and 8 / 9 is 5/6.
Given that,
To determine the fraction that lies between the fraction 7/9 and 8/9.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is the fraction?Fraction is defined as the number of compositions that constitute the Whole.
Here,
According to the question,
Fraction midway to the fractions, 7 / 9 and 8 / 9
= [7 / 9 + 8 / 9] / 2
= 15/9/2
= 15 / 9 * 2
= 15 / 18
= 5 / 6
Thus, the required fraction midway between 7 / 9 and 8 / 9 is 5/6.
Learn more about arithmetic here:
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