Answer:
A scuba diver was exploring a reef 32.12 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min.
a. using the formula d = rt, so 32.12 m = 8.8m/min (t)
b. it is reasonable to write the distance as positive because the diver is accending/ going up the surface
c. t = 32.12/ 8.8 = 3.65 min
Step-by-step explanation:
hope this helps
worth 25 help and show work :)
Answers:
x = 7*sqrt(3)
y = 7
===========================================================
Explanation:
We have a 30-60-90 triangle here since the missing acute angle is 90-60 = 30 degrees. Or you could note how 30+60+90 = 180.
The side length y is the shorter leg as it's opposite the smallest angle. It's equal to half of the hypotenuse. So y = 14/2 = 7.
The longer leg x is equal to y*sqrt(3). We multiply the shorter leg by sqrt(3) to get the longer leg. This means
x = y*sqrt(3) = 7*sqrt(3)
----------
You could also use the pythagorean theorem if you knew that y = 7 and you had the hypotenuse value as well. You could solve like so
a^2 + b^2 = c^2
7^2 + b^2 = 14^2
b^2 = 14^2 - 7^2
b^2 = 147
b = sqrt(147)
b = sqrt(49*3)
b = sqrt(49)*sqrt(3)
b = 7*sqrt(3)
Which matches up with the value of x we found earlier.
If 2^2x = 2^3, what is the value of x?
Answer:
X = 2 If the exponent 2 in the 2 does not have the x
Step-by-step explanation:
15. The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among U.S. women ages 20 to 24 is 2791.5 per 100,000. Take a random sample of three U.S. women in this age group. What is the probability that at least one of the women has a Chlamydia infection
Answer:
0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection
Step-by-step explanation:
For each women, there are only two possible outcomes. Either they have a Chlamydia infection, or they do not. The probability of a woman having the infection is independent of any other women. 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.
The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among U.S. women ages 20 to 24 is 2791.5 per 100,000.
This means that:
[tex]p = \frac{2791.5}{100000} = 0.027915[/tex]
Take a random sample of three U.S. women in this age group.
This means that [tex]n = 3[/tex]
What is the probability that at least one of the women has a Chlamydia infection?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.027915)^{0}.(1-0.027915)^{3} = 0.9186[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.9186 = 0.0814[/tex]
0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection
find the difference quotient of the rational function, r(t) = -3/t+6
Answer:
r(t)= -3/t+6
r(t)= -3/6t=6
Answer: the answer is D
Step-by-step explanation:
Just did the assignment rn
Pls Help Me find the Area T-T
Answer:
the answer is 55m^2 I think
Answer:
55 is the Area
Step-by-step explanation:
4 x 10 = 40
5 x 3 = 15
15 ÷ 2 = 7.5
5 x 3 = 15
15 ÷ 2 = 7.5
7.5 + 7.5 = 15
40 + 15 = 55
Give Me Brainllest
Charlie took a test with two parts; Reading with 60 questions and Math with 40 questions. He scored 55% on the Reading part and 90% on the Math part. What is his overall percentage score, assuming each of the 100 questions has equal weight?
Answer:
10
Step-by-step explanation:
.
In each row, decide whether the expression in column A is equivalent to the expression in column B. If they are not
equivalent, show how to change one expression to make them equivalent.
A
B
A.
3x-2x +0.5x
1.
1.5x
B.
3(x + 4)-2(x + 4)
2. x + 3
C.
6(x+4)-2(x + 5)
3. 2(2x + 7)
D.
3(x + 4)-2(x + 4) + 0.5(x + 4)
4. 1.5
For each situation write an eynression for the new balance using as few terms as possible
A. [tex]3x-2x+0.5x=1.5x[/tex], so the expressions are equivalent.
B. [tex]3(x+4)-2(x+4)=x+4[/tex], so the expressions are not equivalent. To make the expressions equivalent, add 1 to expression B.
C. [tex]6(x+4)-2(x+5)=6x+24-2x-10=4x+14=2(2x+7)[/tex], so the expressions are equivalent.
D. [tex]3(x+4)-2(x+4)+0.5(x+4)=1.5(x+4)[/tex], so the expressions are not equivalent. To make the expressions equivalent, multiply expression B by (x+4).
What is the value of x
[tex]x {}^{2} \times 5x = 625[/tex]
Answer:
x = 5
Step-by-step explanation:
x^2 * 5x = 5x^3
5x^3 = 625 Divide by 5
x^3 = 625/5
x^3 = 125 Take the cube root of 125
x = 5
ANSWER THE QUESTION FOR BRAINLIEST
Timothy swam 24 laps . Frank swam 72 laps. How many times as many laps did frank swim than timothy?
Answer:
3
Step-by-step explanation:
[tex]72[/tex]÷[tex]24=3[/tex]
The average winter snowfall for Syracuse, New York, for December, January, February is 27.5 inches per month. If Syracuse receives 24 inches of snow in December and 32 inches in Januar how much snow is required in February to exceed the 3 month average?
Answer: More than 26.5 inches
Step-by-step explanation:
Solve this equation :
[tex]\frac{32+24+x}{3} \geq 27.5[/tex]
x>26.5
Find the missing length as shown in the picture
The triangles are similar
I need an explanation
Answer:
15
Step-by-step explanation:
ΔRST ≈ ΔRDE
[tex]\frac{RS}{RT} =\frac{RD}{RE} \\\\\frac{35}{56} =\frac{x}{24} \\\\56x=840\\x=15[/tex]
RD = 15
Write an inequality for the sentence below and then solve and check it. The sum of w and nine is less than 18
Answer:
w < 9
Step-by-step explanation:
w + 9 < 18
To solve this inequality, we MUST get the w by itself
Subtraction Property of Equality w + 9 - 9 < 18 - 9
Answer w < 9
WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!
Answer:
where's the question???
Step-by-step explanation:
Step-by-step explanation:
Volume of cylinder=πr²h
A farmer is trying to decide how many acres of land he has planted by
finding the area, A, of his plot. x represents a measuring chain he is
using. If the plot has length (5x – 3) and width (2x + 7), which of the
following is the area in terms of x?
F 10x2 + 41x-21
H 10x2 + 29x - 21
G. 7X2 + 7x + 4
J. x2 - 6x +4
Answer:
H
Step-by-step explanation:
(5x-3) x (2x+7)
10x^2 + 35x - 6x - 21
10x^2 + 29x - 21
Simplify the expression -3 devided by -2/5. A. -7 1/2 B. -1 1/5 C. 1 1/5 D. 7 1/2
Answer:
D. 7 1/2
Step-by-step explanation:
-3 divided by -2/5
-(-3(-5/2)
-(-3 x 5/2)
-15/2
7 1/2
Hope it helps
Help pls help plsssssss
Answer:
bro its 10
Step-by-step explanation:
5 kilometers in 30mins and if he stayed at the same rate for an hour he would have ran 10 kilometers cause 5 x 2 = 10
Solve the system: 10x-9y=8 21y+15x=0.5
PLEASE HELP NEED ASAP
Answer:
x = 1/2
y = -1/3
Step-by-step explanation:
10x - 9y = 8 (Multiply by 3)
15x + 21y = 0.5 (Multiply by -2)
30x - 27y = 24
-30x - 42y = -1
-69y = 23
y = -1/3
10x - 9y = 8
10x - 9(-1/3) = 8
10x + 3 = 8
10x = 5
x = 1/2
Wayne Gretsky scored a Poisson mean six number of points per game. sixty percent of these were goals and forty percent were assists (each is worth one point). Suppose he is paid a bonus of 3K for a goal and 1K for an assist. (a) Find the mean and standard deviation for the total revenue he earns per game. (b) What is the probability that he has four goals and two assists in one game
Answer:
a) The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.
b) 0.05 = 5% probability that he has four goals and two assists in one game
Step-by-step explanation:
In hockey, a point is counted for each goal or assist of the player.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.
(a) Find the mean and standard deviation for the total revenue he earns per game.
60% of six are goals, which means that 60% of the time he earned 3K.
40% of six are goals, which means that 40% of the time he earned 1K.
The mean is:
[tex]\mu = 6*0.6*3 + 6*0.4*1 = 13.2[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{\mu} = \sqrt{13.2} = 3.63[/tex]
The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.
(b) What is the probability that he has four goals and two assists in one game
Goals and assists are independent of each other, which means that we find the probability P(A) of scoring four goals, the probability P(B) of getting two assists, and multiply them.
Probability of four goals:
60% of 6 are goals, which means that:
[tex]\mu = 6*0.6 = 3.6[/tex]
The probability of scoring four goals is:
[tex]P(A) = P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.19122[/tex]
Probability of two assists:
40% of 2 are assists, which means that:
[tex]\mu = 6*0.4 = 2.4[/tex]
The probability of getting two assists is:
[tex]P(B) = P(X = 2) = \frac{e^{-2.4}*(2.4)^{2}}{(2)!} = 0.26127[/tex]
Probability of four goals and two assists:
[tex]P(A \cap B) = P(A)*P(B) = 0.19122*0.26127 = 0.05[/tex]
0.05 = 5% probability that he has four goals and two assists in one game
Equation of a trendline is: y = 50x + 2. What is the
value of y if x is given as 3.5?
A. 175
C. 180
B. 177
D. 201
Answer:
B : 177
Step-by-step explanation:
hello :
put x=3.5 in the equation you have : y = 50(3.5)+2 =175+2=177
During the holiday season,
9,456 people visit the mall
every day. How many
people visit the mall in 7
find the missing side lengths
Answer:
Step-by-step explanation:
first use tan Ф = opp /adj to find x tan(30) = √3 / 3
then use sin Ф = opp / hyp to find y sin(30) = 1/2
tan(30) = (√3) / 3 = x / 48
x = (48√3) / 3
x = 16√3
sin(30) = 1/2 = x / y
y = x / (1/2)
y = 2x x = 16√3
y = 2[16√3]
y = 32√3
check using a² + b² = c²
x² + 48² = y²
(16√3)² + 48² = (32√3)²
256 · 3 + 2304 = 1024 · 3
768 + 2304 = 3072
3072 = 3072
Please help I need to do this for homework but I have zero clue what to do.
The quarterback should have thrown the ball when the receiver was open about 16 yards down the field. Can you find how far the quarterback would have to throw the ball?
Answer:
[tex]20[/tex]
Step-by-step explanation:
[tex]12[/tex]²[tex]+16[/tex]²[tex]=400.[/tex]
[tex]\sqrt{400}[/tex][tex]=20[/tex]
Will give brainliest for correct answer
Answer:
Step-by-step explanation:
1. Not a function
2. Not a Function
3. Function
Solve the system of equations. 2 x − 6 y = 5 x + y = 2 no solution ( 17 8 , − 1 8 )
Answer:
it seems you have made a typo
Step-by-step explanation:
Find tan 0.
(Lots of points if correct)
Answer:
Your answer is 15/8
After getting a job at the ice cream parlor, Mitzi put $20 in
her savings account every week. If she had $90 in the
account before she began working, which inequality could
be used to determine how many weeks w it would take to
have at least $350 in her account?
A 90w + 20 > 350
B 20w +90 > 350
C 20w – 90 < 350
D w/20<500-90
< 500 - 90
20
Answer: The answer is C
Step-by-step explanation:
Algebra 2 Help, Correct Answers only please!
What is m∠G to the nearest tenth?
Answer:
Step-by-step explanation:
tan(G) = 28.2/45.8
G = arctan(28.2/45.8) = 31.6°
answer these plssssssssssssssssssssss
Answer:
15: Yes, no, yes, yes, no; 16A: C = ($0.29)X + ($1.45)Y + ($2.50)Z; 16B: Yes
Step-by-step explanation:
For question 15: We need to multiply the widths and lengths given to see if they equal the area we are trying to achieve. Therefore, some of them work, and some do not.
For question 16:
Part A: We'll set a variable for the number of each supply she can buy. Pencils will be represented by X, pens by Y and Notebooks by Z, and we'll represent total cost by C. The total cost will therefore be represented by C = ($0.29)X + ($1.45)Y + ($2.50)Z.
Part B: We'll plug the numbers of items she wants to buy into our formula and see if it comes out to less than $20. So in this case C = ($0.29)(3) + ($1.45)(4) + ($2.50)(2). Therefore, C = $11.67, which is less than $20, so she can afford her school supplies.