Answer: It looks like this expression is 16+2 times 36, so the answer is 18 times 36 also 88, they are both equivalent
Translate the English expression into an equivalent mathematical expression, then simplify.
If a person earns $326 for working 40 hours, what is that person’s hourly wage?
You invest $17,804 in a CD that has a 6.275% annual interest rate, compounded continuously. How much will you have in 25 years?Round to the nearest cent.
Answer:
R = 3.813% per year.
Step-by-step explanation:
A = Accrued amount (principal + interest) P = Principal amount r = Annual nominal interest rate as a decimal R = Annual nominal interest rate as a percent r = R/100 n = number of compounding periods per unit of time t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years. I = Interest amount ln = natural logarithm.Peyton needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 4 hours and charged her $77 for
parts. The total was $497. Write and solve an equation which can be used to
determine x, the cost of the labor per hour.
Answer:
The cost of labor per hour is $105.
The expression is 4x + 77 = 497
Step-by-step explanation:
The expression is 4x + 77 = 497, where 4x represents the cost of labor per hour, 77 is the cost of the parts, and 497 is the total.
4x + 77 = 497
4x + 77 - 77 = 497 -77
4x = 420
4x/4=420/4
x = 105
It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with mean 376 minutes and standard deviation 67 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with mean 520 minutes and standard deviation 110 minutes. A researcher records the minutes of activity for an SRS of 7 mildly obese people and an SRS of 7 lean people.
A) What is the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes?
B) What is the probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?
Answer:
a) 0.0537 = 5.37% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes
b) 0.9871 = 98.71% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, 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.
Mildly obese:
Mean 376 minutes and standard deviation 67 minutes, which means that [tex]\mu = 376, \sigma = 67[/tex]
Sample of 6
This means that [tex]n = 6, s = \frac{67}{\sqrt{6}} = 27.35[/tex]
Lean
Mean 520 minutes and standard deviation 110 minutes, which means that [tex]\mu = 520, \sigma = 110[/tex]
Sample of 6
[tex]n = 6, s = \frac{110}{\sqrt{6}} = 44.91[/tex]
A) What is the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes?
This is 1 subtracted by the pvalue of Z when X = 420, using the mean and standard deviation for mildly obese people. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{420 - 376}{27.35}[/tex]
[tex]Z = 1.61[/tex]
[tex]Z = 1.61[/tex] has a pvalue of 0.9463
1 - 0.9463 = 0.0537
0.0537 = 5.37% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes.
B) What is the probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?
This is 1 subtracted by the pvalue of Z when X = 420, using the mean and standard deviation for lean people. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{420 - 520}{44.91}[/tex]
[tex]Z = -2.23[/tex]
[tex]Z = -2.23[/tex] has a pvalue of 0.0129
1 - 0.0129 = 0.9871
0.9871 = 98.71% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes
Find the surface area of the prism.
Answer:
136
Step-by-step explanation:
The formula to find the surface area is 2(wl+hl+hw)
W= 3
H= 8
L= 4
wl= 3*4 = 12
hl= 8*4= 32
hw= 8*3 = 24
12+32+24= 68
68 * 2 = 136
Please help me i need this turned in by tonight and i really don’t understand it but i don’t need an explanation i just need the awnser.
Can someone watch number 10 ?
Answer:
-9
Step-by-step explanation:
Hello! So, we need to find log_6 1/6. The definition of log is the power that you need to multiply that number by to get the next number. 1/6=6^-1, so our equation would be:
-1=x/9, so x is clearly -9.
Have a nice day.
~cloud
Answer:
You are correct
Step-by-step explanation:
[tex]log_{6} \frac{1}{6} =\frac{x}{9}[/tex]
[tex]log_{6} 6^{-1} =\frac{x}{9}[/tex]
[tex](-1)log_{6}6=\frac{x}{9}[/tex]
[tex]-1=x/9[/tex]
[tex]-9=x[/tex]
Hope that helps :)
Reflect across the x-axis. Then rotate the shape around point B' 120 degrees clockwise.
9514 1404 393
Answer:
see below
Step-by-step explanation:
Reflection across the x-axis just changes the signs of the y-coordinates. Rotation -120° about B' is difficult to do by hand. The transformation rule for that is ...
(x, y) ⇒ (x·cos(-120°) +y·sin(-120°), -x·sin(-120°) +y·cos(-120°))
(x, y) ⇒ ((-(x-3) +(y+2)√3)/2 +3, (-(x-3)√3 -(y+2))/2 -2)
__
It looks like your problem is presented in GeoGebra, which makes reflection and rotation easy.
a home mortgage for a home that costs $672096 with a 4% interest rate for 24 years. How much is the monthly payment for the mortgage with the interest?
9514 1404 393
Answer:
$3633.96
Step-by-step explanation:
The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
monthly payment for principal P at annual rate r for t years.
A = $672096(0.04/12)/(1 -(1 +0.04/12)^(-12·24)) = $3633.96
The monthly payment for the mortgage is $3633.96.
When Tyee runs the 400 meter dash, his finishing times are normally distributed with a mean of 61 seconds and a standard deviation of 1.5 seconds. If Tyee were to run 39 practice trials of the 400 meter dash, how many of those trials would be faster than 62 seconds, to the nearest whole number?
To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.
We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.
The z-score formula is:
z = (x - μ) / σ
Where:
x = value (62 seconds)
μ = mean (61 seconds)
σ = standard deviation (1.5 seconds)
Calculating the z-score:
z = (62 - 61) / 1.5
z ≈ 0.6667
Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.
Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.
To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:
Number of trials = Proportion * Total number of trials
Number of trials = 0.7461 * 39
Number of trials ≈ 29.08
Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.
#SPJ1
Use the model to find the expected number of automobile registrations (in millions) for year 1,988.
Express you answer as a decimal rounded to the nearest hundredth. Do not include units with your answer.
Answer:
6.26 automobile registrations
Step-by-step explanation:
Given
[tex]y=0.3949x-778.7[/tex] --- [function, missing from the question]
Required
The expected number in 1988
To do this, we substitute 1988 for x in: [tex]y=0.3949x-778.7[/tex]
[tex]y = 0.3949 * 1988 - 778.8[/tex]
[tex]y = 785.0612 - 778.8[/tex]
[tex]y = 6.2612[/tex]
[tex]y \approx 6.26[/tex] --- approximated to the nearest hundredth
The sum of two numbers is 50. One number is 23 more than the other one. Find the numbers.
Someone please help me answer this!!!
eAnswer:
B, C, E, F
Step-by-step explanation:
HELP!!! Quick and easy!
Answer:
2r + 6 = 16
r = 5
An experiment examined the impact of THC (the active ingredient in marijuana) on various physiological and psychological variables. The study recruited a sample of 18 young adults who were habitual marijuana smokers. Subjects came to the lab 3 times, each time smoking a different marijuana cigarette: one with 3.9% THC, one with 1.8% THC, and one with no THC (a placebo). The order of the conditions was randomized in a double-blind design. At the start of each session, no subject reported being "high." After smoking the cigarette, participants rated how "high" they felt, using a positive continuous scale (0 representing not at all "high"). For the placebo condition, participants reported a mean "high" feeling of 11.3, with a standard deviation of 15.5. A 95% confidence interval for the population mean feeling of "high" after smoking a placebo marijuana cigarette is
Answer:
OOO
Step-by-step explanation:
A jar contains black and white jelly beans. What is the probability of reaching into the jar and
selecting a black jelly bean?
Answer:
50% because there are only 2 colors
Step-by-step explanation:
Answer:50%
Step-by-step explanation:
The probability is 50% or 1/2 because there's only 2 types of jelly bean in the jar unless either one has more amount than the other's
Which of the following statements about opposites is true? Choose all correct answers.
A. The opposite of 5 is −5.
B. −(−8)=−8
C. The opposite of 0 is 0.
D. −(−2)=2
Answer:
A
Step-by-step explanation:
Marcelo can select from 2 types of oranges and 3 types of peaches. If he randomly selects 1 orange and 1 peach, how many possible choices does he have? ___________ possible choices
Krysta knit a total of 16 centimeters of scarf over 8 nights. How many nights will Krysta have
to spend knitting in order to knit a total of 46 centimeters of scarf? Assume the relationship is
directly proportional.
nights
Answer:
23 nights
Step-by-step explanation:
What does "Proportional" Mean? Proportional means that the ratio is the same throughout.
Step One: First, to set this up, we will put the 16 centimeters for the numerator and then the 8 nights on the bottom. The bottom is the independent variable because we can't physically change the number of nights. 16/8.
Step Two: Now, we have to scale this up to 46. Because the 46 is the centimeters, we have to do 46/16 to see how much we need to scale it by: 46/16= 2.875.
Step Three: Lastly, we can multiply 8 by 2.875 to see how many nights it took: 8 times 2.875 is 23 nights.
Please expert or aced help me :C
The charitable foundation for a large metropolitan hospital is conducting a study to characterize its donor base. In the past, most donations have come from relatively wealthy individuals; the average annual donor income in the most recent survey was right at $100,000. The foundation believes the average has now increased. A random sample of 200 current donors showed a mean annual income of $103,157 and a standard deviation of $27,498. To perform this study, we should form a null hypothesis stating that the average is
Answer:
The null hypothesis will be that the average annual donor income is less or equal to $ 100,000
Step-by-step explanation:
The claim is mostly treated as alternate hypothesis .
In this question the claim is given as the average annual donor income has increased therefore it is written as
Ha: u > 100,000
The null hypothesis is reverse of the alternate hypothesis
H0: u ≤ 100,000
The null hypothesis will be that the average annual donor income is less or equal to $ 100,000
f(x) = 3x^2 - 7 4x^2 – 3 Find f(2)
Answer:
f=5/8x^2+-3/2Divide both sides by two
Step-by-step explanation:
Hope that helped
Point Q is located at (-9, 10).
Where is Q' after a translation
4 units right and 11 units down?
Answer:
(-5, -1)
Step-by-step explanation:
Moving towards the right makes a number more positive for x and moving down makes numbers more negative for y
how do you write 16% as a decimal
Answer:
0.16
Step-by-step explanation:
rewrite 16 percent in the terms of per 100 or over 100.
16% = 16 over 100 or,
16% = 16/100
16 over 100 is the same as 16 divided by 100. So completeing the division we get:
16 ÷ 100 = 0.16
Thus, the answer is 0.16
hope this helps you :)
Pleaseee help is he right or wrong and why!!!
Answer:
No, Andre is not correct.
Step-by-step explanation:
I believe Andre is not correct because each 1 on the left balances with a 1 on the right. So taking away the two 1s on the left only leaves the hanger balanced if two 1s are removed on the right. This leaves on the left and three 1s on the right, so x=3. This is like x+2=5 if you subtract 2 from the x side then you get x=3. Hope this helps!
What is the x-intercept of the equation -3x + 5y = -15
Answer:
Hi! Just for your safety do not click on the link in the other answer!
The answer to your questions is (5,0) Or another way to express it is 5.
Step-by-step explanation:
To find the x-intercept substitute 0 in for y and solve for x.
※※※※※※※※※※※※※※
⁅Brainliest is greatly appreciated!⁆
- Brooklynn Deka
Hope this helps!!
A spherical water tank with diameter of 26 meters supplies water to a small town. The town uses about 400 cubic meters of water per day. To
the nearest day, how long would a full tank last if no water were replaced due to drought conditions.
Answer:
23 days
Step-by-step explanation:
We would first determine the volume of the tank. This gives information on the amount of water it can carry
WE divide the volume by the amount of water the town uses per day
Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³
n = 3.14
r == radius
radius = 1/2 x diameter
radius = 26/2 = 13 meters
volume = (4/3) x (3.14) x (13^3) = 9198.106667 m^3
How long the tank would last = 9198.106667 / 400 = 23 days
I don’t understand this...I’ve tried reading for answers, but this question stumps me. Please help!
Answer:
x=1, y=-5
Step-by-step explanation:
4(1)+2y=-6
2y=-10
y=-5
or
-3x-2(-5)=7
-3x=-3
x=1
Hope this helps!
can you guys help me on this please
[tex]9^{2}+a^{2}=15^{2} \\144=a^{2}\\a=12[/tex]
The blue segment below is a radius of oo. What is the length of the diameterof the circle?
Answer:
Diameter = 18.6 unitsStep-by-step explanation:
radius = 9.3 units
Diameter = 2 × radius
= 2 × 9.3
= 18.6 units