Answer:
Step-by-step explanation:
C and F are supplementary angles.
C = 180°-79° = 101°
In speech class, Carolyn needs at least a B + to keep her financial aid. To earn a B+, the average of her four speeches must be at least an 85. On the first 3 she scored 85, 77, and 81. Determine the minimum score speech to get a B+.
Answer:
The minimum score speech to get a B+ is 89.Step-by-step explanation:
Average of the first 3 = 85 + 77 + 81 / 3
= 243 / 3
= 81
The fourth score ( to get 85 ) = 81 + 89
= 170 / 2
= 85
Answer:
97
Step-by-step explanation:
Relative to the average she wants, Carolyn's scores are ...
85-85 = 0
77-85 = -8
81-85 = -4
Carolyn's score total is -8-4 = -12 points from the average she wants, so she must get 85+12 = 97 on her speech to achieve a B+ average.
_____
Check
With a 97, Carolyn's average would be ...
(85 +77 +81 +97)/4 = 340/4 = 85
The cost of 5 dresses and 2 belts is $48. The cost of 3 dresses and 2 belts is $32. Find the cost of a dress and a belt. Let x denote the cost of a dress and y denote the cost of a belt.
A: x = $8, y = $4
B: x = $5, y = $4
C: x = $7, y = $10
D :x = $4, y = $5
Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 5% of all visitors to the website are looking for other websites. Assuming that this estimate is correct, find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website. Round your response to at least three decimal places.
Answer:
0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.
Step-by-step explanation:
For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
5% of all visitors to the website are looking for other websites.
So 100 - 5 = 95% are looking for the website, which means that [tex]p = 0.95[/tex]
Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.
This is P(X = 2) when n = 4. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{4,2}.(0.95)^{2}.(0.05)^{2} = 0.0135[/tex]
0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.
6. Mason is looking for a new job. One company offers him a salary of $650 per 40-hour work week. What will Mason's hourly pay rate be if he accepts the job?
A$15.75 per hour
B$16.25 per hour
C$16.50 per hour
D$17.75 per hour
Answer:
b. $16.25
...............
We need to assign 4 students (Daniel, Jeremy, Xiaoying, Ashu) to 3 different teams (Team 1, Team 2, and Team 3). Each team needs to have at least 1 student. To maximize productivity, it has been determined that Ashu and Jeremy cannot be on the same team. How many different ways are there to assign the teams?
Answer:
There are five different ways to assign teams.
Step-by-step explanation:
To make the correct assignment we must bear in mind that there are two variables or students that will always be static, which are Aishu and Jeremi, so the other two students could be assigned with each of them finally 5 teams can be successfully formed.
First team: (Aishu-Xiaoying), (Jeremy), (Daniel)
Second team: (Aishu), (jeremy-xiaoying),(Daniel)
Third Team: (Aishu), (Jeremy), (Daniel-Xiaoying)
Fourth Team: (Aishu-Daniel), (Jeremy), (Xiaoying)
Fifth Team: (Aishu), (Jeremy-Daniel), (Xiaoying)
What is the range of the function graphed below
Answer:
D
Step-by-step explanation:
You are visiting the rainforest, but unfortunately your insect repellent ran out. As a result, at each minute, with probability 0.5, one mosquito lands on your neck, and with probability 0.5, no mosquito lands. If a mosquito lands, it will bite you immediately with probability 0.2, or leave immediately with probability 0.8. a) What is the expected time between successive bites
Answer:
we will assume a variable X for time which is time between two successive bites and time until next bite.
X = (time between successive mosquito bites) = (time until the next mosquito bite).
According to the Bernoulli process, the bites occur parameter y = (0.5)(0.2) = 0.1.
X is a geometric random variable, so
E[X] = 1/p = 10
and
var(X) = (1 − p)/p^2 = (1 - 0.1)/0.1^2 = 0.9 / 0.01 = 90
) Jess has saved dimes ($ 0.10) and quarters ($ 0.25) in their piggy bank. Define the variables and write a
system of equations to determine the number of dimes and quarters if they have 25 coins worth $4.00
in total. Then solve the system using the best method for the situation.
Answer:
Quarters = 10
Dimes = 15
Step-by-step explanation:
d = number of dimes, q = number of quarters
d + q = 25 is the equation for number of coins
0.1d + 0.25q = 4 is the equation for value of coins
First, solve for d in terms of q:
d + q = 25
d = 25 - q
Then substitute that into the other equation:
0.1(25 - q) + 0.25q = 4
2.5 - 0.1q + 0.25q = 4
0.15q = 1.5
q = 10
And back to d = 25 - q, d = 25 - 10 = 15
Check the math:
0.1(15) + 10(0.25) = 1.5 + 2.5 = 4
LMK if you have questions
please i need help i need 1-12
A tower that is 126 feet tall casts a shadow 148 feet long. Find the angle of elevation of the sun to the nearest degree.
The angle of elevation is ____ degrees.
Answer:
[tex] \boxed{\theta = 40 \degree}[/tex]
Step-by-step explanation:
[tex] \tan( \theta ) = \frac{opp}{adj} = \frac{126}{148} \\ \theta = { \tan}^{ - 1} (0.8513) \\ \theta = 40.4[/tex]
Can someone please help me ??!!!!!
First problem:
C
Second:
A
Third:
C
Find the product of the following:
3.57 and 8.1
Pls help I’m being timed!!!!
Answer:
28.917
Step-by-step explanation:
i multiplied the two numbers
A pencil manufacturer makes a giant model pencil, 3m long. A real pencil is 18cm long and has a volume of 9cm(cube). Find the volume in m(cube) of the giant model.
NOTE: EXPLANATION IS REQUIRED.
Answer:
We always need an equation relating the given information to what is to be found. With this problem, we must assume that the giant model is proportional to the standard pencil.
3 m: 18 cm :: Vg:9 cm^3 where Vg is the volume of the giant pencil.
Before any calculations are performed all units must be the same.
The 3 m large pencil must be converted to cm. Each meter is 100 centimeters. Therefore: the proportion must be adjusted to:
300 cm : 18 cm :: Vg : 9 vm^3
300/18 = Vg/9 Now solve.
300 x 9 = 18 Vg By cross multiple
2700 = 18 Vg Divide both sides by 18
Vg = 2700/18 = 150 cm^3 = 0.00015 m^3
Conversion Factor: 1 cm^3 = 10^-6 m^3 Divide by 10^6.
Now Double Check
Step-by-step explanation:
i need help simplifying 31/20
Answer:
31/20 is already in the simplest form.
Step-by-step explanation:
It can be written as 1.55 in decimal form (rounded to 6 decimal places).
Find the sample variance and standard deviation of:
21, 12, 3, 9, 11
s2=?
Answer:
42. 2
6.496
Step-by-step explanation:
Given the data :
21, 12, 3, 9, 11
Variance :
S² = Σ(x - m)² ÷ (n - 1)
n = sample size = 5
m = sample mean = Σx / n
m = (21 + 12 + 3 + 9 + 11) / 5
m = 11. 2
(21-11.2)² + (12 -11.2)² + (3 - 11.2)² + (9-11.2)²
+ (11-11.2)² / (5 - 1)
S² = 42.2
Standard deviation, s = sqrt(42.2) = 6.496
Please answer the question below:
Can anyone please help me
Answer:
a. c = 5.5n
b. Continuous
c. $33
Step-by-step explanation:
A store sells assorted nuts for $5.50 per pound.
a) Write a function in equation form to represent the total cost (c) of any number of pounds of nuts (n)
For every n, 5.5 is added to c. Thus, c = 5.5n
b) Will the graph of this function be continuous or discrete?
Continuous domains are ones that continue on in between intervals. For example, the height of someone would be continuous, because it could, for example, be between 50 inches and 70 inches. On the other hand, discrete domains are ones that can only be a set of given numbers. An example would be how much food you need to feed to a number of cats (for example, each cat needs to eat 0.5 pounds of food). Because you cannot have half a cat, the domain needs to have whole numbers.
Because you can buy 0.5 or 0.2 (or any amount of nuts), the domain is continuous.
c) What would the total cost be for 6 pounds of nuts?
Using the function from a), we know that the cost is 5.5n, where n is the amount of nuts you buy, in pounds. So, plug in "6"
5.5n = 5.5 * 6 = 33
Cost is $33
I hope this helps! Feel free to ask any questions!
i need this done now pls and no bs he hehrhd pls i need this now!
Answer:
Dividing and Subtracting by a negative number will reverse the inequality sign, Addign and Multiplying by a positive number will stay the same. Please tell me if I am wrong.
Please help me ASAP I’ll mark Brainly how would I write this
Please not it don’t say solve it
What is the area of the rectangle below. If reduced by a scale factor of 1/8 . The rectangle is 24cm and 48 cm
1. You see a pair of sneakers that are priced $150. You have a 20% coupon off all sneakers. How much do you pay for the sneakers with the discount?
Expression________________________
Answer: $120
Step-by-step explanation:
This is fairly easy if you use this solution to solve it
Take the $150 and multiply by 0.8
You multiply by 0.8 because you do
1-0.20 (20% off) to get 0.8
The equation will look like
$150(0.8)=$120
ayuda plis es para hoy.
Answer:
8.29
Step-by-step explanation:
Cada linea representa ,1
y como es la ultima linea de las 9 antes del 8,3 la respuesta es 8.29
Juliette ate 1/3 of a cake, and Brad ate 3/8 of the same cake. What fraction of the cake was eaten?
Answer:
17/24
Step-by-step explanation:
Find common denominators...
1/3 = 8/24
3/8 = 9/24
Now add...
17/24 of the cake was eaten
Hope this helps :)
what term best describes the graph of x-1
Answer: it might be something like, descending slope, or declining slope, are there answer choices
What's the answer to this problem? I tried 40 & 40,000,000 for my answers but it's still incorrect.
Answer:
39.51 million
Step-by-step explanation:
Explain how to use the coordinates and absolute value to find the distance between points at (3, –7) and (3, 2).
Answer:
Using the formula for the distance between two points, which is generated using coordinates and absolute value, we find that the distance between these two points is of 9 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
This formula is generated using coordinates and absolute value.
In this question:
(3,-7) and (3,2). So
[tex]D = \sqrt{(3-3)^2+(2-(7))^2} = \sqrt{81} = 9[/tex]
The distance between these two points is of 9 units.
A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, to the nearest cent, after 11 years?
Is -6 greater than -3??
Answer:
No.
Step-by-step explanation:
-3 is greater than -6. I Hope this helps. Im trying to level up so I'd appreiciate it if you marked me as brainliest. Thank you!
13. On Saturday, Lukas drove 4x - 5 miles. On Sunday, he drove 3x - 10 miles.
What is the difference in miles driven?
a) x + 15
b) X-5
c) x + 5
d) x - 15
Answer: C) x+5
Hope this helps have a nice day ;)!!!!!!!!!
how do you get a letter in math to a number
Answer:
You need to the value of the letter "variable."
Step-by-step explanation:
Answer:
Huh? Can I get more details?
Step-by-step explanation: