Answer: P(S-name U Boy) = [tex]\dfrac58[/tex]
Step-by-step explanation:
Given: A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel)
To find : P(S-name U Boy) i.e. Probability of selecting a person whose name starting with S or boy.
n(S-name U Boy) = 5 {2 girls (Sarah, Suzie), 3 boys( Kevin, Steve and Samuel )}
Now, P(S-name U Boy) = [tex]=\dfrac{\text{n(S-nam e} \cup\text{ Boy}}{\text{Total persons in the club}}[/tex]
[tex]=\dfrac{5}{5+3}\\\\=\dfrac{5}{8}[/tex]
Hence, P(S-name U Boy) = [tex]\dfrac58[/tex]
At Jay Street Middle School, 25%of eighth graders wear glasses. If 100 students wear glasses how many eighth graders are there in total?
Answer:
400 total
Step-by-step explanation:
so 100 is 25% of 100% and 25%x4=100%
so do 100x4=400=100% of the middle schoolers
Pls Answer this Right and Professionally I’m begging you I will mark a brainless too
Answer:
3. x=110 y=110 t=70
4. a=105 b=105 c=75 d=75 e=105 g=75 f=75
Step-by-step explanation:
A boat is pulled toward a dock by means of a rope wound on a drum that is located 6 ft above the bow of the boat. If the rope is being pulled in at the rate of 5 ft/s, how fast (in ft/s) is the boat approaching the dock when it is 34 ft from the dock?
Answer:
Step-by-step explanation:
Given that:
The height of the dock (h) = 6
Let represent d to be the distance between the boat and the dock
Let the length of the rope between the boat and the drum be denoted by (l)
Then, the rate of change for the length of the rope be:
dl/dt = -5 ft/s
Using Pythagoras rule to determine the relationship between these values, we have:
[tex]l^2 = h^2 +d^2[/tex]
[tex]l^2 = 6^2 + d^2[/tex]
[tex]l^2 = 36 + d^2[/tex]
We relate to: [tex]2l * \dfrac{dl}{dt} = 2d* \dfrac{dd}{dt}[/tex]
From the question;
l = 34,
So to find [tex]\dfrac{dd}{dt}[/tex], we get;
[tex]d = \sqrt{l^2 - 36}[/tex]
[tex]d = \sqrt{34^2 - 36}[/tex]
[tex]d = \sqrt{1156- 36}[/tex]
[tex]d = \sqrt{1120}[/tex]
d = 33.46
So, we have:
[tex]\dfrac{dd}{dt}= \dfrac{l}{d} \times \dfrac{dl}{dt}[/tex]
[tex]\dfrac{dd}{dt}= \dfrac{34}{33.46} \times - 5[/tex]
[tex]\dfrac{dd}{dt}= 1.016 \times - 5[/tex]
[tex]\dfrac{dd}{dt}=-5.08 \ ft/sec[/tex]
Brandon currently runs the mile in 6.8 minutes.
If he can cut 10 seconds off of his , -mile rate, what will his new mile time be?
Plz Help. Euler Equations are hard!
Find the general solution to the following differential equation.
An
2 pie/3
Step-by-step explanation:
Suppose 52R% of the population has a college degree. If a random sample of size 808808 is selected, what is the probability that the proportion of persons with a college degree will be less than 54T%
Answer:
The probability is [tex]P( p < 435.82 ) = 0.54094[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 54% = 0.54
The sample size is n = 808
Generally the distribution of the population with college degree follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
Generally the mean is mathematically represented as
[tex]\mu = n * p[/tex]
=> [tex]\mu = 808 * 0.52[/tex]
=> [tex]\mu = 420.16[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{np(1- p )}[/tex]
=> [tex]\sigma = \sqrt{808 * 0.52(1- 0.52 )}[/tex]
=> [tex]\sigma = 14.2[/tex]
Generally 54% of the population proportion is
[tex]\^ p = 0.54 * 808[/tex]
=> [tex]\^ p = 436.32[/tex]
Generally by normal approximation of the binomial distribution the probability that the proportion of persons with a college degree will be less than 54% is mathematically evaluated as
[tex]P(p < \^ p ) = P(\frac{p - \mu }{\sigma } < \frac{\^ p - \mu }{\sigma } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P(p < 436.32 ) = P( Z < \frac{436.32 - 420.16 }{14.20 } )[/tex]
applying continuity correction
[tex]P(p < (436.32-0.5) ) = P( Z < \frac{(436.32-0.5) - 420.16 }{14.20 } )[/tex]
=> [tex]P(p < (435.82 ) = P( Z < \frac{435.82 - 420.16 }{14.20 } )[/tex]
=> [tex]P(p < (435.82 ) = P( Z < 0.1028 )[/tex]
From the z table the area under the normal curve to the left corresponding to 0.1028 is
[tex]P( Z < 0.1028 ) = 0.54094[/tex]
=> [tex]P( p < 435.82 ) = 0.54094[/tex]
what are the possible values for the ones digits when a number is a multiple of 5
Answer:
0, 5
Step-by-step explanation:
5 * 0 = 0
5 * 1 = 5
5 * 2 = 10
5 * 3 = 15
5 * 4 = 20
5 * 5 = 25
etc.
Answer: 0, 5
Solve the system
-3x+4y+2z=1
x+2y-z=6
2x-y+4z=7
Answer:
its A dont know how to explain it but i did the math and yes it is (2,3,1)
Step-by-step explanation:
Answer:
the answer is d (3,2,1) according to the picture given
Step-by-step explanation:
the system you wrote is different from the picture
Find the smallest side of RST, given that
Answer:
doesn't it give you the angles for each letter? If that is the case then it would be 33
Step-by-step explanation:
May I have brainliest please? :)
Answer:
RT
Step-by-step explanation:
RT
Since angle S is the smallest angle, the smallest side is opposite that.
Quick 50 points brainliest
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 11(1.01)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)
Answer:
[tex]0\leq d\leq 7[/tex]
Step-by-step explanation:
[tex]11.79=11(1.01^d)\\1.01^d=\frac{11.79}{11} \\1.01^d=1.0718\\ln(1.01^d)=ln(1.0718)\\d ln(1.01)=ln(1.0718)\\d=\frac{ln(1.0718)}{ln(1.01)} \\d=\frac{0.069}{0.0099} \\d=6.9696[/tex]
By rounding up.
d=7
Hence, the domain is
[tex]0\leq d\leq 7[/tex]
Answer:
0<x<d
its so easy if you need help
An equation is shown. What factor is missing from the equation? 32 + 20= (8+5)*
Answer:
4
Step-by-step explanation:
32+20=52
8+5=13
52/13=4
A recipe calls for 1 1/2
teaspoons of cinnamon to make 2 oatmeal cookies.
How many teaspoons
of cinnamon are needed to make 60 oatmeal cookies?
Answer:
45
Step-by-step explanation:
this one is also giving me a hard time
Answer:
Step-by-step explanation:
y = mx + b
[tex]m_{LN} = m_{NP }[/tex] = - [tex]\frac{10}{4}[/tex] = - [tex]\frac{5}{2}[/tex]
y-intercept is 1
y = - [tex]\frac{5}{2}[/tex] x + 1
In the figure above, how would you set up your equation?
Step-by-step explanation:
2×+6 + 5 = X+10
2x -x =10 -11
x= - I
BC = 2(-1) + 6=4
AC = -1+10 = 9
Alice is opening a savings account which earns 2.2% interest, compounded continuously.
How much will she need to deposit in the account so that she has $6200 after 3 years?Round your answer to the nearest dollar.
Answer:$5804
Step-by-step explanation:
P=6200/e^(0.022)(3)
Answer:
5804 just trust me i got it right
A 4 quart container of window cleaner costs $12.48. What is the price per cup?
Answer:
$3.12
Step-by-step explanation:
A quart is 4 cups
Divide the Price $12.48 by 4 = $3.12 a cup
13/3 = 26/c help ASAP PLZ!!!!!!!!!!!!!
If two sides of a triangle are 7 and 14, the third side may be?
Answer:
it would be 2
Step-by-step explanation:
Answer:
smaller than the sum of the other two sides
In this case less than 21
Step-by-step explanation:
Triangle Inequality Theorem
The ratio of bananas to melons is 30:1 if there are 300 bananas how many melons are there
Answer:
10 melons
Step-by-step explanation:
The rate of change is 10.
30 : 1
300 : x
Multiply 30 x 10 to get 300. And you do the same to 1 and x. So, 1 x 10 = 10. So x = 10
So it would look like this -
30 : 1
300 : 10
hope this HELP! :)
I need help with this .
use the name of the graph to name the function
A train is traveling at 60 mph. If the rate of speed increases 4 mph each hour,
how long will it be before the train is traveling at a rate of 80 mph?
OA) 4 hours
B) 5 hours
OC) 6 hours
OD 7 hours
Answer:
B) 5 hours
Step-by-step explanation:
First, find the amount of mph between 60 and 80:
80 - 60
= 20 mph
Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:
20/4
= 5
So, the correct answer is B, 5 hours
6 + x = 6 help please
Answer:
The correct answer is that x = 0.
Answer:
x=0
Step-by-step explanation:
6+x=6
x=6-6
x=0
If someone is smart enough to do this your a genius and I will give you a brainless
You have to fill in the blanks
I suck at math I need help
Answer:
74° is the answer
In the triangle
112°+33°+a=180. (sum of angles of triangle)
a=180-145
a=35°
a+b+71°=180. (linear pair)
35°+b+71°=180
b=180-106
{b= 74°}
hi guys whats 456829+345627=
you will win 85 points
Answer:
802456
Step-by-step explanation:
I’m timed please help
The David family traveled to silver lake in five hours. Their return trip took 7/8 of the time it took to travel to the lake. How long did the return trip take
O 4 1/8
O 4 3/8
O 5 5/7
O 5 7/8
What volume would a 200 g sample of gold have, if its density is known to be 19.3
Answer:
The volume that a 200 g gold sample would have is 10.36 mL.
Step-by-step explanation:
Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance. Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
[tex]density=\frac{mass}{volume}[/tex]
In this case it is known that the density of gold is 19.3 g / mL. This indicates that in 1 mL there are 19.3 g. Then the following rule of three can be applied: if 19.3 g is contained in 1 mL, how much volume is 200 g of gold?
[tex]volume=\frac{200 g*1mL}{19.3g}[/tex]
volume= 10.36 mL
The volume that a 200 g gold sample would have is 10.36 mL.
Which of the following relations between input numbers and output numbers is not a function?
Answer:
B
Step-by-step explanation:
6. f(x) = (x + 2). g(X) = (X+3) Find (fºg)(x)
Answer:
(f o g)(x) = x + 5
General Formulas and Concepts:
Algebra I
Combining Like TermsAlgebra II
Function CompositionStep-by-step explanation:
Step 1: Define
f(x) = x + 2
g(x) = x + 3
(f o g)(x) = f(g(x))
Step 2: Find
Substitute: (f o g)(x) = (x + 3) + 2Combine like terms: (f o g)(x) = x + 5Answer:
f(x+3)=x+5
Goodluck to you
A new basketball 20% off if it’s original price and is now selling for $36 what is the original price of the basketball before
the sale?