If 16 is added to a number and the sum is doubled, the result is 15 less than the number. Find the number.
Answer:
x = -47
Step-by-step explanation:
(x+16)2 = x-15
2x+32 = x-15
x = -15-32 = -47
A process that produces computer chips has a mean of .04 defective chips and a standard deviation of .003 chips. The allowable variation is from .032 to .048 defective. a.Compute the capability index (Cp) for the process.
Answer:
The capability index for the process is 0.889
Step-by-step explanation:
Here, we want to compute the capability index for the process
To get this, we need some important parameters which we already have stated in the question
USL ( upper standard limit) = 0.048
LSL (lower standard limit) = 0.032
mean = 0.04
standard deviation = 0.003
We apply the formula as seen in the attachment below
Kindly understand that we are to calculate the Z upper and Z lower
The smallest value between the two will be our Z minimum
This is what we shall apply in the capability index formula which mathematically is;
Z minimum/3
From calculation:
Z lower = Z upper = 2.67
So therefore;
capability index = 2.67/3 = 0.889
what do you need to know ask me
Answer:
i got a whole lotta math questiosn to ask, answer them for me I give u bigger points
Step-by-step explanation: please n thanks man
Answer:
Can you please answer my question?
Step-by-step explanation:
https://brainly.com/question/20988596
Jessica jogs 29 kilometers in 2.5 hours. What is her speed?
Answer:
I would want to say 11.6
Step-by-step explanation:
I divide 29 by 2.5= 11.6.
I just need to know the steps so I can be able to do the rest of them
Answer:
1. x = 9.5
Step-by-step explanation:
Number one.
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {8.6}^{2} + {b}^{2} = {12.8}^{2} \\ 73.96 + {b}^{2} = 163.84 \\ \frac{ - 73.96 \: \: \: \: \: \: \: \: \: \: = - 73.96}{ {b}^{2} = \sqrt{89.88} } \\ b = 9.5[/tex]
a = leg
b = leg
c = hypotenuse/diagonal
The cost of renting a motorcycle for a day is $0.65 per mile plus a $105 flat fee.
(a) Write an equation to represent this relationship. Let x be the number of miles
driven and y be the total cost for the day.
(b) What does the graph of this equation form on a coordinate plane? Explain.
(c) What is the slope and the y-intercept of the graph of the relationship? Explain.
please help!!
Answer:A) Y = 0.65x + 105
B) An Increasing Slope
C) Slope = 0.65 Y-Intercept = 105
Hope this helps you!
Step-by-step explanation:
A diagram of the pool has been drawn to scale below where each unit is 2 meters. What is the area of the pool in meters? *
Answer:
4.5m^2
Step-by-step explanation:
Step one:
The shape of the pool can be either a square or a rectangle.
We want to find the area of the pool
The area of a square or rectangle is expressed as
A= length * width
Step two
say the dimensions given are
L= 3m
W= 1.5m
Then area
A= 3*1.5
A= 4.5m^2
Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + -6 x = -13 Complete the square: x2 – 6x + 9 = –13 + 9 Factor the trinomial and simplify: (x + )² =
Answer:
The roots of the polynomial are;
3 + 2i
and 3-2i
Step-by-step explanation:
Here, we want to solve the given polynomial using the completing the square method
We start by dividing through by 8
This will give;
x^2 - 6x = -13
To complete the square, we simply divide the coefficient of x by 2 and square it
We have this as -6/2 = -3
square it;; = (-3)^2 = 9
Add it to both sides
x^2 - 6x + 9 = -13 + 9
x^2 - 6x + 9 = -4
(x-3)^2 = -4
Find the square root of both sides
x-3 = ±2i
x = 3 + 2i
or x = 3-2i
Answer:
Here's just the answers without all the work for easier reading. Answers are bolded.
Step-by-step explanation:
First problem answer: x2 + -6 x = -13
Second problem answer: x2 – 6x + 9 = –13 + 9
Third problem answer: (x + -3)² = -4
Fourth problem answer: 3 + 2i
Move the numbers to the blanks to order them from least to greatest value.
0.4
9/8
I-21
1/2
-0.89
Answer: -0.89 1-21 0.4 1/2 9/8
Step-by-step explanation:
Answer:
1-21, -0.89, 1/2, 0.4, 9/8
Step-by-step explanation:
The mean number of miles that people drive between oil changes is 4550 miles with a population standard deviation of 1470 miles. Suppose that 49 drivers are randomly selected. What is the probability that these drivers have a sample mean greater than 4800 miles? Round your answer to four decimal places.
Answer:
0.1169
Step-by-step explanation:
We solve the question using the z score formula
z = (x-μ)/σ/√n where
x is the raw score = 4800 miles
μ is the population mean = 4550 miles
σ is the population standard deviation = 1470 miles
n is the random number of samples = 49 drivers
Greater than sign = >
For x > 4800 miles
z = 4800 - 4550/1470/√49
= 4800 - 4550/1470/7
= 4800 - 4550/210
= 1.19048
Probability value from Z-Table:
P(x<4800) = 0.88307
P(x>4800) = 1 - P(x<4800)
P(x>4800) = 1 - 0.88307
P(x>4800) = 0.11693
Approximately to 4 decimal places = 0.1169
Therefore, the probability that these drivers have a sample mean greater than 4800 miles is 0.1169
I will give brainiest to whoever answers correctly !! can someone smart help me out !!
Answer: Im pretty sure part A is 133$
Step-by-step explanation:
Wspólny Ułamek 18 i 6
Answer:
Step-by-step explanation:Numerator
Denominator
What is 18 / 6 simplified?
3⁄1
What is 18 / 6 as a decimal?
3
What is 18 / 6 as a mixed number?
18⁄6 = 3
What is 18 / 6 spelled out?
eighteen sixths
What is the slope of a line parallel to y=2x + 3
Answer:
2
Step-by-step explanation:
The slope of the line with equation y=2x+3 is 2 . So, any line parallel to y=2x+3 has the same slope 2 .
Hello!
Parallel lines have the same slope. So if one line has a slope of 2, the line parallel to it has a slope of 2 as well.
Therefore, the slope is 2. Hope it helps.
If you have any questions, feel free to ask.
~A forlorn teen
[tex]MagicalNature[/tex]
I need help with this Asap
Answer:
Point E
Step-by-step explanation:
You can look how they intersected E in the middle
PLZ HELP!!! I need help ASAP
Answer:
The two problems/expressions are the same because of the negative and positive rule.
Step-by-step explanation:
+ - = -
- + = -
- - = +
+ + = +
Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.
-80x+24.5y-56
-80x+28y+56
80x+28y+56
4(-20x+7y-14)
-4(-20x+7y-14
Answer:
4(-20x+7y-14) .. only one option correct
Step-by-step explanation:
8(-10x+3.5y-7) = -80x + 28y -56
4(-20x+7y-14) = -80x +28y -56
4x50=??? use a calculator only if you need to!
Answer:
so if you know what
4 x 5 is you can just add a 0 to the end
so 4 x 5 = 20
o now add a 0
the awnser is 200!!
Step-by-step explanation:
A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 400. Use z-table.
a. How large was the sample used in this survey?
b. What is the probability that the point estimate was within ±15 of the population mean?
Answer:
a) A sample of 256 was used in this survey.
b) 45.14% probability that the point estimate was within ±15 of the population mean
Step-by-step explanation:
This question is solved using the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
a. How large was the sample used in this survey?
We have that [tex]s = 25, \sigma = 400[/tex]. We want to find n, so:
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]25 = \frac{400}{\sqrt{n}}[/tex]
[tex]25\sqrt{n} = 400[/tex]
[tex]\sqrt{n} = \frac{400}{25}[/tex]
[tex]\sqrt{n} = 16[/tex]
[tex](\sqrt{n})^2 = 16^2[tex]
[tex]n = 256[/tex]
A sample of 256 was used in this survey.
b. What is the probability that the point estimate was within ±15 of the population mean?
15 is the bounds with want, 25 is the standard error. So
Z = 15/25 = 0.6 has a pvalue of 0.7257
Z = -15/25 = -0.6 has a pvalue of 0.2743
0.7257 - 0.2743 = 0.4514
45.14% probability that the point estimate was within ±15 of the population mean
Between the ages 2 and 20, the weight W of an American boy is logistic function of his age. For boys at the 50 percentile, the differential equation for W can be approximated by 4W = 0.0008W (216 - W), where W is measured in pounds and t is measured in years beyond the age of 2. Express W as a function of t subject to the initial condition W(0) = 24
Answer:
rthtrhthrrgrg4432
Step-by-step explanation:
rthrthtrhtrhr242 42
What is the slope? (IXL)
Answer:
1/3
Step-by-step explanation:
rise over run
A detergent is created by mixing washing soda, borax, and water. The table below shows the composition of three different detergents. Composition of Detergents A B C Washing Soda 0.05 0.15 0.20 Water 0.80 0.80 0.70 Borax 0.15 0.05 0.10 Travis needs to use a combination of the detergents to create 100 ounces of a detergent that is 15% washing soda, 75% water, and 10% borax. Which is true? He will use equal parts of each detergent. He will use more of detergent A than any other detergent. He will use more of detergent B than any other detergent. He will use more of detergent C than any other detergent.
Answer:
He will use more of detergent C than any other detergent.
Step-by-step explanation:
Edge. 2020, just took the quiz
The true statement is He will use more of detergent C than any other detergent.
Detergent:Since the composition of detergents A B C Washing Soda 0.05 0.15 0.20 Water 0.80 0.80 0.70 Borax 0.15 0.05 0.10And, there is 100 ounces of a detergent that is 15% washing soda, 75% water, and 10% boraxSo the detergent C should be more.Find out more information about the Water here:brainly.com/question/4381433?referrer=searchResults
A.
B.
C.
D.
Can someone please get me the answer fast
-77.5 divided by 15.5
There are 32 females cast in the school play. The ratio of male roles to female roles is 3:8. Therefore, there are males cast in the school play.
Answer:
12
Step-by-step explanation:
There are 32 female casts in a school play
The ratio of male to the female role is 3:8
Therefore the number of male casts in the school play can be calculated as follows
3/8= x/32
Cross multiply
8x = 32×3
8x= 96
x= 96/8
= 12
Hence there are 12 male casts in the school play
A box in the shape of a rectangle prism, with dimensions 12 inches by 18 inches by 12 inches, can hold exactly 12 cubes measuring 6inches on each side. If the length and width of the base are doubled, how many cubes could the new box hold
18
24
48
96
Ms. Kim's class has 24 students.
.
There are 18 students in the class who study Spanish
The other students in the class study French
In Ms. Kim's class, which of the following is the ratio of students who study Spanish to students who study French?
Maisie is watching a movie she has been watching for 36 minutes there are 55 minutes to go how long does the movie last .let m
represent the number of minutes that the movie less right and saw an equation for m
Answer:
Step-by-step explanation:
m= movie time
m=36+55=19 minutes
2 units right and 5 units up
2
What is the range? (Worth many points)
20, 19, 7, 14, 13
Please help me with this question!
Answer:
7
Step-by-step explanation:
the range is the difference between the smallest and largest numbers
Below is the graph of a polynomial. Which statement about this graph is true?
(-4.0)
(0,0)
(-2,-4)
O A. The point (-2,-4) is a minimum.
O B. The point (-2,0) is a maximum.
O C. The point (0,-4) is a minimum.
D. The point (-4,0) is a maximum.
Answer:
The point (-2, -4) is a minimum.
Hence, option A is correct.
Step-by-step explanation:
We know that graph of a Parabola illustrates a U-shaped curve.
The graph of Parabola has an important characteristic, it consists of an extreme point which is termed as 'vertex'.
When a parabola opens up, the vertex will be the lowest point on the Parabola graph.
When a parabola opens up, the vertex will be the lowest point on the Parabola graph. This lowest point is the minimum value of the parabola function.
From the given Parabola graph, it is clear that the parabola opens up.
Thus, the vertex will be the lowest point on the Parabola graph which is also the minimum value.
It is clear that the vertex of the parabola is located at (-2, -4).
Therefore, the point (-2, -4) is a minimum.
Hence, option A is correct.
