Answer:
Dr. Kora will pay an interest of $6,000
Step-by-step explanation:
Simple interest = P × R × T
Where:
P = Principal = $8000
R = Rate = 7.5% = 0.075
T = Time = 10 years
∴ Simple interest = 8000 × 0.075 × 10 = $6,000
Therefore Dr. Kora will pay an interest of $6,000
Given tan θ = 2 and sin θ < 0. Find cos(θ +pi/4)
Answer:
√10 / 10
Step-by-step explanation:
tan θ > 0 and sin θ < 0, so θ is in quadrant III. That means cos θ < 0.
cos(θ + π/4)
Use angle sum formula.
cos θ cos(π/4) − sin θ sin(π/4)
½√2 cos θ − ½√2 sin θ
Factor.
½√2 cos θ (1 − tan θ)
½√2 cos θ (1 − 2)
-½√2 cos θ
Write in terms of secant.
-½√2 / sec θ
Use Pythagorean identity (remember that cos θ < 0).
-½√2 / -√(1 + tan²θ)
-½√2 / -√(1 + 2²)
½√2 / √5
√10 / 10
Gabriel started to calculate the area of the triangle. His work is shown.
A =
1
2
bh
=
1
2
(
1
2
) (
3
4
)
Answer:
Like for black lives
Step-by-step explanation:
black lives matter yeahhhhhh
Evaluate 3x^3 +2x^2-2x+6 at x=4
Answer:
It should be 222
Step-by-step explanation:
Answer:
222
Step-by-step explanation:
3x^3+2x^2-2x+6
x=4
=3(4)^3+2(4)^2-2(4)+6
=192+32-8+6
=224-2
=222
The data represents the daily rainfall (in inches) for one month. Construct a frequency distribution beginning with a lower class limit of 0.00 and use a class width of 0.20.Does the frequency distribution appear to be roughly a normaldistribution?data0.3800.220.06000.2100.530.18000.02000.24000.01001.280.2400.190.53000.240Daily Rainfall(in inches)Frequency0.00 dash 0.190.00-0.19nothing0.20 dash 0.390.20- 0.39nothing0.40 dash 0.590.40-0.59nothing0.60 dash 0.790.60-0.79nothingDaily Rainfall(in inches)Frequency0.80 dash 0.990.80-0.99nothing1.00 dash 1.191.00-1.19nothing1.20 dash 1.391.20-1.39nothingDoes the frequency distribution appear to be roughly a normaldistribution?A. No, although the distribution is approximately symmetric, the frequencies do not start low, increase to some maximum frequency, then decrease.B. No, although the frequencies start low, increase to somemaximum, then decrease, the distribution is not symmetric.C. No, the distribution is not symmetric and the frequencies do not start off low.D. Yes, all of the requirements are met.
Answer:
C. No, the distribution is not symmetric and the frequencies do not start off low.
Step-by-step explanation:
Hello!
You have the data of daily rainfall for one month (inches)
To arrange a data set in a frequency table you have to determine the number of class intervals you want to make, then you calculate their widths as: "total observations"/"desired number of intervals". Once you have the class width, you can determine the limits of the intervals. For the first interval, you select the minimum value of the sample and add the width to obtain the upper limit. Then you have to use that limit as the lower limit of the next interval and add the width to obtain the next limit. And so on until the last one.
In this example you have a given class width of 0.20 and the lower limit for the first interval is 0.00.
Once you have all intervals determined, you have to arrange the data set from least to greatest and count how many observations correspond to each interval.
The symbol [;) in the intervals indicates that the interval is "closed" on the lower limit and "open" on the upper limit. Meaning, if you have for example the observation "0.20" and the intervals [0.00; 0.20) and [0.20; 0.40), the first interval has a limit equal to 0.20 but is open, meaning that the observation does not belong to it, it belongs to the next interval.
(See table in attachment)
Does the frequency distribution appear to be roughly a normal distribution?
A. No, although the distribution is approximately symmetric, the frequencies do not start low, increase to some maximum frequency, then decrease.
B. No, although the frequencies start low, increase to some maximum, then decrease, the distribution is not symmetric.
C. No, the distribution is not symmetric and the frequencies do not start off low.
D. Yes, all the requirements are met.
As you can see not all defined intervals have at least one observed frequency, most of the observations belong to the first and second one. And there is value, 1.28 inches, that shifts the distribution to the right making it strongly skewed. This distribution is far away from being normally distributed.
Hope it helps!
Before soccer practice, Laura warms up by jogging around the outside of the entire soccer field. The field measures 80 meters by 120 meters.
If Laura wants to know how many meters she jogged in all, which measurement should she find?
Choose 1 answer:
area
length
perimeter
Answer:
perimeter
Step-by-step explanation:
She would choose perimeter
Because perimeter is the outside of a object and she ran the outside of the soccer field so ya mark be as brainliest plssss
the square root of 20 is between what two whole numbers
Answer:
4 - 5
Step-by-step explanation:
square root of 20 is 4.472135955 therefore the two whole numbers it is between are 4 and 5.
All numbers from 1 to 100 are written in a row. How many times does each digit appear in this row:
Answer:
20
Step-by-step explanation:
10 for each for their being in the tens place, and ten for the ones place.
The length of time for one individual to be served at a cafeteria is an exponential random variable with mean of 6 minutes. Assume a person has waited for at least 4 minutes to be served. What is the probability that the person will need to wait at least 9 minutes total
Answer:
43.46% probability that the person will need to wait at least 9 minutes total
Step-by-step explanation:
To solve this question, we need to understand conditional probability and the exponential distribution.
Conditional probability:
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
Expontial distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
In this question:
Event A: Waited at least 4 minutes.
Event B: Waiting at least 9 minutes.
The length of time for one individual to be served at a cafeteria is an exponential random variable with mean of 6 minutes.
This means that [tex]m = 6, \mu = \frac{1}{6}[/tex]
Probability of waiting at least 4 minutes.
[tex]P(A) = P(X \geq 4) = P(X > 4)[/tex]
[tex]P(A) = P(X > 4) = e^{-\frac{4}{6}} = 0.5134[/tex]
Intersection:
The intersection between a waiting time of at least 4 minutes and a waiting time of at list 9 minutes is a waiting time of 9 minutes. So
[tex]P(A \cap B) = P(X > 9) = e^{-\frac{9}{6}} = 0.2231[/tex]
What is the probability that the person will need to wait at least 9 minutes total
[tex]P(B|A) = \frac{0.2231}{0.5134} = 0.4346[/tex]
43.46% probability that the person will need to wait at least 9 minutes total
An athlete eats 85 grams of protein per day while training. How much is this in milligrams ?
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
A. G(x) = x - 9
Step-by-step explanation:
For the function F(x) to shift right, there needs to be a negative number being subtracted. In this case, only answer "A," fits. This is because 9 is being subtracted, making the function shift to the right 9 units.
A box of books weighs 26lb. Convert the weight to kilograms. Round to the nearest tenth.
Answer:
26 lb is 11.8 kg.
Step-by-step explanation:
A pound (lb) is a unit of mass used in the imperial and US customary systems of measurement.
A kilogram (kg) is the base unit of mass in the International System of Units (SI).
To convert 26 lb to kg.
First, use the conversion factor between pounds and kilograms.
1 kg = 2.2046 lb
Next, write the following equation to find the weight in kg:
weight in kg = weight in lb x (1 kg / 2.2046 lb)
The pounds cancel out, leaving kilograms.
weight in kg = 26 lb x (1 kg / 2.2046 lb)
weight in kg = 11.7935 kg
Rounding to the nearest tenth.
weight in kg = 11.8 kg
Lance needs 50 cups of water for the runners in a race. Convert the volume to gallons.
Answer:
Lance would need 3.125 gallons of water.
Step-by-step explanation:
Divide the value by 16
After converting the volume into gallons, Lance needs 3.125 gallons of water for the runners in a race.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Lance needs 50 cups of water for the runners in a race.
We know that;
⇒ 1 gallons = 16 cups
⇒ 1 cups = 1/16 gallons
Here, Lance needs 50 cups of water for the runners in a race.
Hence, We get;
⇒ 50 cups = 50 × 1/16 gallons
= 3.125 gallons
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ2
You entered a room, of 34 people. A shooter then enters killing 30. How many people are left in the room?
Answer: 5 people
Step-by-step explanation: I was the killer... lol
A card is chosen from a standard deck of cards. The drawer is looking for clubs and face cards.
Club not a club
Face card 3 9
Not a face card 10 13
Find P(Club | Not a Face Card).
Question 13 options:
52/13
3/13
1/4
10/13
Answer:
[tex](C)\dfrac{1}{4}[/tex]
Step-by-step explanation:
In a standard deck,
Total Number of cards=52Number of face cards=12Number of Clubs =13The table below gives the distribution of the cards.
[tex]\left|\begin{array}{c|c|c|c}&$Club&$Not a club\\----&----&---&----\\$Face card&3&9&12\\$Not a face card&10&30&40\\----&----&---&----\\$Total&13&39&52\end{array}\right|[/tex]
[tex]P($Club$ | $Not a Face Card)$=\dfrac{10}{40}\\ =\dfrac{1}{4}[/tex]
The correct option is C.
A car bought for RS 1,000,000 depreciates each year by 5%.what is the insurance premium paid in the first year , second year , and the third year of purchase?
Answers soon!!
Answer:
1st year = RS 50,0002nd year = RS 47,5003rd year = RS 45,125Step-by-step explanation:
Given the cost of a car to be RS 1,000,000, if the car depreciates yearly by 5%, then the insurance premium paid which is the operating expenses eacg year will be calculated as thus;
In the first year;
insurance premium paid = 5% of RS 1,000,000
= 5/100 * 1,000,000
= RS50,000
cost of the car after the first year of usage = 1,000,000-50,000
= RS 950,000
In the second year;
Insurance premium paid in the second year = 5% of RS 950,000
= 5/100 * 950,000
= 5*9,500
= RS 47,500
cost of the car at the end of second year = 950,000-47,500 = RS 902,500
In the third year;
Insurance premium paid in the third year = 5% of RS 902,500
= 5/100 * 902,500
= 5*9,025
= RS 45,125
Matthew can jog 3 and ⅖ miles in ⅞ of an hour. Find his average speed in miles per hour.
Answer:
3 [tex]\frac{31}{35}[/tex] mph ≈ 3.8857 mph
Step-by-step explanation:
Speed = distance/time
1) Plug the numbers in.
Speed = 3 ⅖ / ⅞
2) Convert the numbers to decimals.
Speed = 3.4 / 0.875
3) Solve.
Speed ≈ 3.8857 mph = [tex]\frac{136}{35}[/tex] mph = 3 [tex]\frac{31}{35}[/tex] mph
ANOTHER WAY TO SOLVE
Speed = distance/time
1) Plug the numbers in.
Speed = 3 ⅖ / ⅞
2) Convert into improper fractions
Speed = [tex]\frac{17}{5}[/tex] / [tex]\frac{7}{8}[/tex]
3) Multiply by the reciprocal
Speed = [tex]\frac{17}{5}[/tex] × [tex]\frac{8}{7}[/tex] = [tex]\frac{136}{35}[/tex] mph = 3 [tex]\frac{31}{35}[/tex] mph
A can of pumpkin pie mix contains a mean of 30 ounces and a standard deviation of 2 ounces. The contents of the cans are normally distributed.. Supposed four can of pumpkin pie mix are randomly selected What is the probalility that the average content of cans in sample is between 28.0 ounces and 31.5
Answer:
[tex]P(28<X<31.5)=P(\frac{28-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{31.5-\mu}{\sigma})=P(\frac{28-30}{2}<Z<\frac{31.5-30}{2})=P(-1<z<0.75)[/tex]
We can find this probability with this difference
[tex]P(-1<z<0.75)=P(z<0.75)-P(z<-1)[/tex]
If we use the normal standard distribution or excel we got:
[tex]P(-1<z<0.75)=P(z<0.75)-P(z<-1)=0.773-0.159=0.614[/tex]
Step-by-step explanation:
Let X the random variable that represent the weights for a can of pumpkin pie, and for this case we know the distribution for X is given by:
[tex]X \sim N(30,2)[/tex]
Where [tex]\mu=30[/tex] and [tex]\sigma=2[/tex]
We are interested on this probability
[tex]P(28<X<31.5)[/tex]
We can use the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Using this formula we got:
[tex]P(28<X<31.5)=P(\frac{28-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{31.5-\mu}{\sigma})=P(\frac{28-30}{2}<Z<\frac{31.5-30}{2})=P(-1<z<0.75)[/tex]
We can find this probability with this difference
[tex]P(-1<z<0.75)=P(z<0.75)-P(z<-1)[/tex]
If we use the normal standard distribution or excel we got:
[tex]P(-1<z<0.75)=P(z<0.75)-P(z<-1)=0.773-0.159=0.614[/tex]
In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0 respectively. If the coefficient skewness is - 0.38
What is the appropriate value of the third quartile
Answer:
56.45
Step-by-step explanation:
Coefficient skewness=(Third quartile+ first quartile)-n*Median/Third quartile-first quartile
Third quartile is the unknown?
First quartile is 30.8
n is the number of steps taken from first quartile to reach third quartile which is 2 steps.
coefficient skewness is -0.38
let p represent third quartile
-0.38=(p+30.8)-2(48.5)/p-30.8
by cross multiplication
-0.38(p-30.8)=(p+30.8)-97
-0.38p+ 11.704 =p+30.8-97
-0.38p-p=30.8-97-11.704
-1.38p=-77.904
p=-77.904 /-1.38= 56.45
Which equation represents this number sentence?
Two less than one-fourth of a number is 10.
Answer:
1/4n-2=10
Step-by-step explanation:
7-9. A deli sliced 13.7 kilograms of
roast beef one week and 22.53
kilograms the next. How many total
kilograms of roast beef did the deli
slice in the two weeks?
Answer:
36.23 kilograms of roasted beef
Step-by-step explanation:
If deli sliced 13.7 kilograms (kg) of roasted beef one week
He sliced 22.53 kilograms (kg) the next week
Total sliced kilograms of roasted beef=13.7 kg + 22.53 kg
=36.23 kg
The deli sliced a total of 36.23 kilograms of roasted beef in the two weeks.
Determine the total number of roots of each polynomial function using the factored form.
f (x) = (x + 5)^3(x - 9)(x + 1)
Answer:
5
Step-by-step explanation:
When the factors are linear, as here, the total number of roots is the sum of the exponents of the factors:
3 + 1 + 1 = 5 . . . . sum of factor exponents
f(x) has 5 roots.
What is (x+2)(x+5) in polynomial standard form
Answer:
=x^2+7x+10
Step-by-step explanation:
Simplify: xx+5x+2x+2.5: x+7x+10
Add similar elements: 5x+2x= 7x
=xx+7x+2.5
xx=x2
2.5=10
=x+7x+10
Answer: =x^2+7x+10
Hope this helps.
What are the advantages of a closed question? A. Closed questions allow the respondent to go in-depth with their answers. B. It is possible to automate the collection of results for closed questions. C. Closed questions allow for new solutions to be introduced. D. It is easy to quantify and compare the results of surveys with closed questions.
Answer:
closed questions are questions with fixed answer options
A. Closed questions allow the respondent to go in-depth with their answers.
no, it is relevant to open questionsB. It is possible to automate the collection of results for closed questions.
yesC. Closed questions allow for new solutions to be introduced.
no, it allows to collect statistical data but not good for new solutions, it better works with open questions when new ideas, solutions may appearD. It is easy to quantify and compare the results of surveys with closed questions.
yesFind the missing value
A) 14
B) 12
C) 10
D) 13
Answer:
12
Step-by-step explanation:
One part is 1 so 13 minus 1 is 12
Please answer please it’s pweety ez
Answer:
67 feet^2
Step-by-step explanation:
Surface Area = 2×(4×2.6 + 4×3.5 + 2.6×3.5) = 67 feet^2
Answer:
67 feet^2
Step-by-step explanation:
Surface Area = 2×(4×2.6 + 4×3.5 + 2.6×3.5) = 67 feet^2
These two figures are the image and pre-image of a
dilation.
Find the value of x.
4 m
6 m
8 m
9 m
Answer:
D.) 9m
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
i just did the question
What is the square root of a triangle
Answer:
30 60 90
Step-by-step explanation:
Please answer this correctly
Answer:
12.49 ft²
Step-by-step explanation:
The straight parts of P are both r,
So 2r + 2πr / 4 = 14.28
r (2 + π/2) = 14.28
r = 14.28 / 3.57 = 4
the area will be πr²/4 ≈ 12.56 ft²
Answer: 12.56 ft²
Step-by-step explanation:
Perimeter of a circle is known as the circumference.
C = 2π·r where r is the radius.
Perimeter of the curve of the quarter circle + both sides
[tex]Perimeter=\dfrac{1}{4}Circumference+2\ sides\\\\\\P = \dfrac{1}{4}2\pi \cdot r+2r\\\\\\14.28=\dfrac{\pi\cdot r}{2}+2r\\\\\\28.56=\pi \cdot r+4r\\\\\\28.56=r(\pi +4)\\\\\\\dfrac{28.56}{\pi +4}=r[/tex]
A = π·r²
[tex]\dfrac{1}{4}A=\dfrac{1}{4}\pi \cdot r^2\\\\\\.\quad =\dfrac{1}{4}\pi \bigg(\dfrac{28.56}{\pi +4}\bigg)^2\\\\\\.\quad =\dfrac{1}{4}(3.14)\bigg(\dfrac{28.56}{7.14}\bigg)^2\\\\\\.\quad = \large\boxed{12.56}[/tex]
visible light comes from which one of the sun's layers
Answer:
pHotOsPHerE
Step-by-step explanation:
Answer:
Photosphere
Step-by-step explanation:
Here is a quote from a Gallup report: "According to a 2018 Gallup poll, 5% of U.S. adults consider themselves to be vegetarian. Nonwhite Americans (9%) are three times as likely as white Americans (3%) to describe themselves as vegetarian." This statement is based on a random sample of 1033 American adults interviewed in July 2018, in which 270 respondents identified as "nonwhite" and 742 as "white."
The cited value 5% is part of the:___________.
A. Experimental,
B. Conditional,
C. Observational,
D. Anecdotal,
E. Marginal
distribution of the
A. Ethnicity, given diet choice,
B. Diet choice, given ethnicity,
C. Ethnicity,
D. Diet
The cited value 9% is part of the:________.
A. conditional
B. observational
C. anecdotal
D. marginal
E. experimental
distribution of:__________
1. diet choice, given ethnicity
2. ethnicity, given diet choice
3. ethnicity, diet choice.
Which math symbol represents the cited value 5%?
Answer:
Options C, D
Options E, 1
Step-by-step explanation:
The cited value 5% is part of the observational distribution of the diet
The cited value 9% is part of the experimental distribution of diet choice, given ethnicity
The math symbol that represent the 5% is P- the population proportion.
