Answer:
They have the same value when x=5
Step-by-step explanation:
4x
Let x = 4
4*5 = 20
15+x
Let x =5
15+5 = 20
They have the same value when x=5
Answer:
Yes
Step-by-step explanation:
x = 5
(given)
Plug 5 in -->
4(5) = 20
15 + 5 = 20
They are equal
Thus, our answer is yes, they have the same value when x is equal to 5.
The Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal with a known thickness standard deviation σ = .000586 mm. Assume a random sample of 59 sheets of metal resulted in an x¯ = .2905 mm. Calculate the 95 percent confidence interval for the true mean metal thickness.
Answer:
The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{0.000586}{\sqrt{59}} = 0.0002[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 0.2905 - 0.0002 = 0.2903 mm
The upper end of the interval is the sample mean added to M. So it is 0.2905 + 0.0002 = 0.2907 mm
The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm
Find the missing side and round the answer to the nearest tenth. Thanks.
Answer:
22.2
Step-by-step explanation:
The missing side is x
cos19° = 21/x switch x and cos19° x = 21/cos 19°x = 22.21≈ 22.2
The regression line is determined by finding the minimum value of Total Squared Error. Which of following equations represents Total Squared Error?
a. Σ(X-Y)^2
b. Σ(X- ŷ )
c. Σ(X-ŷ )^2
d. r^2Σ(Y- ŷ )^2
Answer:
[tex]\sum(y-y')^2[/tex]
Step-by-step explanation:
We are given that the regression line is determined by finding the minimum value of Total squared error.
We have to find the equation which represents total squared error.
Let y be the original value and y' be the new value of y
We will find the error by finding the difference between two values of y
Difference=y-y'
Therefore, error=y-y'
Now,
Total square error=[tex]\sum(y-y')^2[/tex]
Therefore, the equation which represents total squared error is given by
[tex]\sum(y-y')^2[/tex]
An amusement park has 20 rides. Ethan has enough time to ride 3 rides before the park closes. How many different ways could Ethan pick to ride the 3 rides?
Answer
20*19*18 = 6840
UNLESS...............
he is allowed to ride the same ride again , over and over....
then it is 20 x 20 x 20 = 8000
Fathi has \$1.10$1.10dollar sign, 1, point, 10 in his printing account. Each sheet of paper he uses reduces his printing account balance by \$0.25$0.25dollar sign, 0, point, 25. Fathi wants to print out a PDF document that is 474747 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet. After Fathi prints, what will be the balance in his printing account?
Answer:
$-4.90.
Step-by-step explanation:
Fathi has $1.10. Each sheet costs him $0.25. He wants to print 47 pages.
If he prints double sided, then he will use 47 / 2 = 23.5 sheets of paper. But he can't print a half-sheet, so he will use 24 sheets of paper.
Each sheet costs $0.25. 0.25 * 24 = 6. The printing will cost him $6.
Since he only has $1.10, his remaining balance will be 1.1 - 6 = -4.9. The balance on his printing account will be $-4.90.
Hope this helps!
Answer:
-1.90
Step-by-step explanation:
Khan Academy
I got it right for sure
What is the value of the expression below?
(7^1/2)^2
Answer:
7
Step-by-step explanation:
We can multiply the exponents so (7¹⁺²)² = 7⁽¹⁺² * ²⁾ = 7¹ = 7.
Answer:
7
Step-by-step explanation:
[tex](7^{\frac{1}{2}})^2 = (\sqrt{7})^2 = \sqrt{7} \times \sqrt{7} = \sqrt{7 \times 7} = \sqrt{49} = 7[/tex]
What is the probability of getting 3 heads if 6 unbiased coins are tossed simultaneously?
Answer:
i believe it would be 25%
Step-by-step explanation: all have a 50% chance of head or tails so all added together and divided to together and divide and you get half of 50.
Which graph shows a function and its inverse?
Answer:
D.
Step-by-step explanation:
The graph of a function and its inverse are symmetric with respect with the line y = x.
On each graph you are given, plot the line y = x. If the two functions are symmetric with respect to the line y = x, then the graph does show a function and its inverse.
You will see this is true only for choice D.
Solve (x-3)^2 =5 completing the square
Answer:
x = 3 ± √5
Step-by-step explanation:
The expression (x - 3)² = 5 doesn't need completing the square to solve (this is the step after you finish completing the square):
Step 1: Square root both sides
x - 3 = ±√5
Step 2: Add 3 to both sides
x = 3 ± √5 = 0.76392, 5.23607
Step-by-step explanation:
There are two ways to solve this equation for x
Either you develop (x-3)^2 and then solve the quadratic equation
Or you can solve it this way :
(X-3)^2= 5
x-3 = + or - root square 5
So x = 3+ or - root square 5
A competition
took place in 1983
takes place every 6 years.
What is the first year after 2045 that it will also take place?
Answer:
2049.
Step-by-step explanation:
2045 - 1983 = 62 years.
So the competition will take place in 1983 + 60 = 2043.
After 2045 the competition takes place in 2049.
What are the coordinates of N?
Answer:
[tex](c,b) are the coordinates of N[/tex]
Step-by-step explanation:
as N is the mid-point of QR
BY USING MID-POINT FORMULA
[tex]N(x,y)=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
PUTTING THE VALUES OF COORDINATES
[tex]N(x,y)=(\frac{0+2c}{2},\frac{2b+0}{2})[/tex]
[tex]N(x,y)=(\frac{2c}{2},\frac{2b}{2})[/tex]
[tex]N(x,y)=(c,b) are the coordinates[/tex]
O HOPE THIS WILL HELP YOU :)
what does r equal? 1/13r=-8/15
Answer:
[tex]\boxed{\sf \ \ \ -\dfrac{15}{104} \ \ \ }[/tex]
Step-by-step explanation:
hello,
first of all let's assume that r is different from 0 as this is not allowed to divide by 0
[tex]\dfrac{1}{13r}=\dfrac{-8}{15}[/tex]
multiply by 13r it comes
[tex]\dfrac{13r}{13r}=1=\dfrac{-8*13r}{15}[/tex]
now multiply by 15
[tex]-8*13r=15\\<=> r = \dfrac{-15}{8*13}=-\dfrac{15}{104}[/tex]
hope this helps
Answer:[tex]r=-\frac{104}{15}[/tex] or -6.93333....
Step-by-step explanation:
[tex]\mathrm{Multiply\:both\:sides\:by\:}13[/tex]
[tex]13\cdot \frac{1}{13}r=13\left(-\frac{8}{15}\right)[/tex] =-104/15
simplify
[tex]r=-\frac{104}{15}[/tex]
MARK BRAINLIEST PLEASE
A plane descends 1,200 feet then it descends 500 feet what is the answer
Answer:
1700 ft
Step-by-step explanation:
I think you may have read that question wrong, cause the way you worded made it about to be simple addition, and one of the descends should probably be an ascend.
Answer:
1,700 ft
Step-by-step explanation:
The relative frequency distribution of the number of phobias reported by a hypothetical sample of 500 college students is given as follows.
0–2 0.48
3–5 0.26
6–8 0.12
9–11 0.09
12–14 0.05
Required:
a. What is the probability that a college student expresses fewer than three phobias?
b. What is the probability that a college student expresses more than eight phobias?
c. What is the probability that a college student has between 3 and 11 phobias?
Answer:
a. 0.48
b. 0.14
c. 0.47
Step-by-step explanation:
Data provided in the question
0 - 2 0.48
3 - 5 0.26
6 - 8 0.12
9- 11 0.09
12- 14 0.05
Based on the above information
a. The probability for fewer than three phobias is
= P( x < 3)
= 0.48
b. The probability for more than eight phobias is
= P( x >8)
= 0.09 + 0.05
= 0.14
c. Probability between 3 and 11 phobias is
= P(3 < x < 11)
= 0.26 + 0.12 + 0.09
= 0.47
Question 4
If Madeline wanted to know whether or not her sample results could be generalized to the population, she would use
Answer:
Inferential statistical methods
Step-by-step explanation:
Remember, Madeline had obtained sample results, but she wants to decide whether to apply the sample results to the entire population. To do this, she can use the following:
- estimate her research parameters or
- or perform a hypothesis test which answers her research objectives.
Based on the results she gets, Madeline, can to thus infer from the sample results and apply them to the population.
in a controlled laboratory environment a random sample of 10 adults and a random sample of 10 children were tested by a psychologist to determine the room temperature that each person finds most comfortable. The data are summarized below.
Simple Mean Simple Variance
Adults(Population 1) 77.5°F 4.5
Childerns(Population 2) 74.5°F 2.5
If the psychologist wished to test the hypothesisthat children prefer warmer room temperature than adults, which hypothesis would he use?
Answer:
F distribution test
Step-by-step explanation:
He would use the F distribution test. This test is used in comparing the variances of two categorical variables if they are equal. The null hypothesis is rejected if after carrying out the test the results states otherwise.
Can you explain these words Rate, Per, Divide, Unit and the connections you see between them. Thank you very kind!!!
Answer:
A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.
Per is defined as to, for, by or according to. An example of per used as a preposition is in the phrase, "as per standards," which means by the standards
Division is splitting into equal parts or groups. It is the result of "fair sharing
which of the following has a value less than 0?
A.4
B. |4|
C. |-4|
D. -4
Answer:
D
Step-by-step explanation:
The numbers that are less than 0 are negative. Negative numbers have the "-" sign in front of them so the answer is D.
Answer:
d
Step-by-step explanation:
The other ones will always be positive four
The quick ratio, Q, is calculated using the formula Q= CA-I-P/ CL, where CA is the value of the company’s current assets, I is inventory, P is prepaid expenses, and CL is current liabilities. Rearrange the formula for current assets
Answer:
CA = Q·CL +I +P
Step-by-step explanation:
Multiply by the denominator, then add the opposite of all terms that are not CA.
[tex]Q=\dfrac{CA-I-P}{CL}\\\\Q\cdot CL=CA-I-P\\\\Q\cdot CL+I+P=CA\\\\\boxed{CA=Q\cdot CL+I+P}[/tex]
what is -2 + 6 + 1=1 + 6 + -2
Answer:
Yes they're equal
Step-by-step explanation:
Umm, I'm not sure what we're supposed to solve here but I'm assuming it's to see if the two equations are equal.
We can simply solve them as --> -2 + 6 + 1 --> -2 + 6 = 4 -->
4 + 1 = 5
Then 1 + 6 + -2 --> 1 + 6 = 7 -->
7 + -2 = 5
They match up and thus, they're equal
18% as a fraction and percentage
Answer:
9/50 and 18%.
Step-by-step explanation:
18% is already a percentage.
To convert this into a fraction, put the number over 100:
18/100. Simplify:
=9/50
Note: The decimal form will be 0.18.
Step-by-step explanation:
18 % as a fraction: 18/100
18% as a percent: 18/100 ×100
Which is inequality is equivalent to -n > 4
Answer:
n < -4
Step-by-step explanation:
-n > 4
Multiply both parts by -1, remembering to switch signs.
-n(-1) < 4(-1)
n < -4
Factor this expression.
4x - 16
O A. 4(x - 12)
O B. 4(x - 2)
O C. 4(x-4)
D. 4(x-8)
Answer:c
Step-by-step explanation:4x -16
The numbers have something in common which is 4
So 4(x-4)
Answer:
C.
Step-by-step explanation:
To start you want to factor out 4 from 4x-16
to do that you basically are dividing the equation by 4
so when you do that that leaves you with: x-4
so now just put the expression into ( ) with for on the outside : 4(x-4)
Assume that adults have IQ scores that are normally distributed with a mean of 94 and a standard deviation of 14. Find the probability that a randomly selected adult has an IQ greater than 107.1. (Hint: Draw a graph.) To help visualize the area of interest, draw a standard normal curve. Label the given values for x and mu . x 94107.1
Answer:
0.6517
Step-by-step explanation:
z = (x - μ)/σ
Z= standard score
x= observed value
μ= mean of the sample
σ= standard deviation of the sample
z = (x - μ)/σ = (107.1 - 94 )/ 14 = 0.9357
probability that a randomly selected adult has an IQ greater than 107.1. = P(Z > 0.935) = 0.6517
NB: the value is 0.6517 is pulled from the z table which can be found at the back of most math text.
A simple random sample of size has mean and standard deviation.Construct a confidence interval for the population mean.The parameter is the population The correct method to find the confidence interval is the method.
ANSWER:
EXPLANATION:
A simple random sample of size has mean and standard deviation. Construct a confidence interval for the population mean. The parameter is the population The correct method to find the confidence interval is the method.
The sample size is not given. Mean and Standard Deviation are not given.
To construct a confidence interval for the population mean, first find out the margin of error of the sample mean. This is why you need a confidence interval. If you are 90% confident that the population mean lies somewhere around the sample mean then you construct a 90% confidence interval.
This is equivalent to an alpha level of 0.10
If you are 95% sure that the population mean lies somewhere around the sample mean, your alpha level will be 0.05
In summary, get the values for sample size (n), sample mean, and sample standard deviation.
Make use of a degrees of freedom of (n-1).
3. Four chicken nuggets have 180 calories. How many calories are in 9 chicken
nuggets?
1,620 calories
405 calories
720 calories
80 calories
Hey there! :)
Answer:
405 calories.
Step-by-step explanation:
To solve, we can create a proportion.
We are given that 4 nuggets is equivalent to 180 calories, therefore:
[tex]\frac{180cal}{4}= \frac{xcal}{9}[/tex]
Cross multiply:
9 · 180 = 4 · x
1620 = 4x
Divide both sides by 4:
x = 405 calories.
Answer:
[tex]\mathrm{B.}[/tex] 405 calories
Step-by-step explanation:
4 chicken nuggets = 180 calories
9 chicken nuggets = x
Cross multiplication.
4x = 180 × 9
4x = 1620
[tex]\frac{4x}{4} =\frac{1620}{4}[/tex]
x = 405
Use the information given to write an equation in standard form (If possible please show work)
Answer:
-2x + y = -1.
Step-by-step explanation:
The slope of the line = rise / run
= (11-9) / (6-5) = 2.
The point-slope form of the line is
y - y1 = 2(x - x1) where (x1, y1) is a point on the line so we have:
y - 11 = 2(x - 6) ( using the point (6, 11)
y = 2x - 12 + 11
y = 2x - 1
Convert to standard form:
-2x + y = -1.
PLEASE HELP!!! TWO QUESTIONS 20 POINTS
Answer:
11.
a. Blank A = 97 - 54 = 43
or = 122 - 79 = 43
b. Blank B = 100 - 54 = 46
or = 125 - 79 = 46
c. Blank C = 100 + 122 = 222
or = 97 + 125 = 222
12.
a. Prob. of Apple female preference = no of Apple female ÷ Total no for Apple preference
= 194 ÷ 346 = 0.561
b. Prob. of Male Apple preference = no for Male for Apple ÷ No of Male
= 152 ÷ 320 = 0.475
c. Relative frequency of female of Microsoft preference = Female of Microsoft preference ÷ Total female
= 126 ÷ 320 = 0.394
Calculate 15% of 36, to one decimal place
Answer:
5.4
Step-by-step explanation:
15% = 15/100 = 0.15
0.15 × 36 = 5.4
Answer = 5.4
Answer:
5.4
Step-by-step explanation:
→ To find one percentage of another, I first multiply both numbers together then divide by 100
15 × 36 = 540
→ Divide by 100
540 ÷ 100 = 5.4
Choose the name of this figure.
A.
line
B.
angle
c.
line segment
D.
ray
Answer:
we dont see aa figure
Step-by-step explanation:
