Answer:
9,065,738
Step-by-step explanation:
(3.8^3)^4
^ = exponents
[tex](3.8^{3} )^{4}[/tex]
Now lets do the parenthesis first
3.8 * 3.8 * 3.8 = 54.872
[tex](54.872)^{4}[/tex]
54.872 * 54.872 * 54.872 * 54.872 = 9,065,737.908494995
We can round that up to
9,065,738
Hope this helped!
Have a supercalifragilisticexpialidocious day!
evaluate the trigonometric funtion of the angle theta
Please help ASAP!!!!
Answer:
130°
Step-by-step explanation:
∠JDG and ∠EDF are opposite angles. The measures of arcs for opposite angles always add up to 180°. Since the arc for ∠JDG is 50°, the arc for ∠EDF has to be 130°, because 50 + 130 = 180.
Manuel buys 2 shirts at $24 each as well as one pair of pants for $35. He has a coupon for 30% off the shirts. What is the total price he will pay if there is 6% tax?
$58.10
$61.59
$72.72
$87.98
Answer:
Answer is a
Step-by-step explanation:
Work:
Using the formula of Cdm or C=20, determine the
circumference of the shape.
BICYCLES A bicycle tire has
a radius of 14 inches. How
far will the bicycle travel in 40
rotations of the tire? Round to
the nearest tenth.
131 in.
Diameter:
Radius:
Answer:
Radius-16
Diameter-32
Step-by-step explanation:
I think
A large school district held a district-wide track meet for all high school students. For the 2-mile run, the population of female students participating follows a Normal distribution and had a mean running time of 8.8 minutes with standard deviation of 3.3 minutes. The population of male students participating also follows a Normal distribution and had a mean running time of 7.3 minutes with standard deviation 2.9 minutes. Suppose 8 female students and 8 male students who participated in the 2-mile run are selected at random from each population. Let xF represent the sample mean running time for the female students, and let xM represent the sample mean running time for the male students. a. Find and interpret the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM. b. Find the probability of getting a difference in sample means xF − xM that is less than 0.
Answer:
If the question has
What are the mean and standard deviation of the sampling distribution of the difference in sample means x¯F−x¯M ?
It is E
Step-by-step explanation:
AP classroom uses the example with different end questions.
The mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.
What is the distribution of random variable which is sum of normal distributions?Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:
[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]
And if
[tex]X = X_1 + X_2 + \cdots + X_n[/tex]
Then, its distribution is given as:
[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]
For this case, it is given that:
Distribution of time taken for distance ran by female is Normal distribution and had a mean running time of [tex]\mu_F[/tex] = 8.8 minutes with standard deviation of [tex]\sigma_F[/tex] = 3.3 minutes.Distribution of time taken for distance ran by male is Normal distribution and had a mean running time of [tex]\mu_M[/tex] = 7.3 minutes with standard deviation of [tex]\sigma_M[/tex] = 2.9 minutes.Samples of size n = 8 are taken from both population.Estimated sample mean = population mean
Estimated sample standard deviation = population std. dev / √n
where n = sample size
Thus, we get:
[tex]\overline{x}_F = \mu_F = 8.8 \: \rm minutes[/tex][tex]s_F = \sigma_F/\sqrt{8} = 3.3/\sqrt{8} \approx 1.167 \: \rm minutes[/tex][tex]\overline{x}_M = \mu_M = 7.3 \: \rm minutes[/tex][tex]s_M = \sigma_M/\sqrt{8} = 2.9/\sqrt{8} \approx 1.053\: \rm minutes[/tex]For sample of females, the distribution is [tex]X_F \sim N(\overline{x}_F = 8.8, s_F = 3.3/\sqrt{8})[/tex]
For sample of males, the distribution is [tex]X_M \sim N(\overline{x}_M =7.3, s_M = 2.9/\sqrt{8})[/tex]
Also, if we take distribution of difference between sample means([tex]X_F - X_M = X_F + (-X_M)[/tex], then it would be normal with mean = 8.8-7.3 = 1.5 minutes (as mean for [tex]-X_F[/tex] will be -7.3 but same standard deviation) as factor gets squared for affecting standard deviation and variance)
and standard deviation is: [tex]s = \sqrt{s_F^2 + s_M^2} = \sqrt{3.3^2/8 + 2.9^2/8} \approx 1.553 \: \rm minutes[/tex]
The distribution of difference between sample means is [tex]X_F - X_M \sim N(\overline{x} = 1.5, s = 1.533)[/tex] approximately
We need [tex]P(X_F - X_M < 0)[/tex]
Converting this distribution to standard normal distribution, we get:
[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98)[/tex]
From the z-tables, we get the p value for Z = -1.98 as 0.0239
Thus, we get:
[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98) \approx 0.0239[/tex]
Thus, the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.
Learn more about standard normal distribution here:
https://brainly.com/question/10984889
what's a word problem for 10x=2
Answer: Divide each side by '10'. x2 = 9 Simplifying x2 = 9 Take the square root of each side: x = {-3, 3
Step-by-step explanation:
HELP ASAP
A number line can represent positions that are north and south of a truck stop on a highway. Decide whether you want positive positions to be north or south of the truck stop.
The truck stop
5 miles north of the truck stop
3.5 miles south of the truck stop
Answer:
The northern position would be positive while the southern position would be negative.
Step-by-step explanation:
Imagine 0 as the truck stop. North would be above the truck stop, while south would be below it.
On a number line, anything above 0 is a positive number. Anything below 0 is a negative number.
Therefore, the northern position would be positive while the southern position would be negative.
please help me I'm confused
Answer: The correct answer is 8^2 or 64
Step-by-step explanation: Can I please get the brainliest answer.
Answer:
8²
Step-by-step explanation:
When we divide numbers with exponents that have the same bases, we can just subtract the exponents. So, 8^9/8^7 equals 8^(9-7) = 8^2 (Which equals 64, but it isn't a power).
What is the quotient of 9/14 and 2/7
Answer: Hi, the answer is 9/4 or C!
Step-by-step explanation:
You would take 2/7 and multiply both the top and bottom by 2 to make it 4/14, the. youd flip 4/14 into 14/4, then multiply the top numbers (9 and 14 by eachother to get 126) then multiply the bottom numbers ( 14 and 4 to get 56) and simplify the new fraction (126/56) to get 9/4!
A number decreased by fourteen is equal to eighteen
Answer: 32
Step-by-step explanation:add 14 to 18
Answer:
32
Step-by-step explanation:
32 is the answer because 18 plus 14 equals 32. And so the number 32 decreased by 14 is 18.
Write the English phrase as an algebraic expression. Then, simplify the expression. Let x represent the number.
The difference between the product of five and a number and three times the number
What is the algebraic expression?
Answer:
5x-3x = 2x
Step-by-step explanation:
"The difference" = the substraction of two numbers
(something) - (something)
"The difference between the product of five and a number"
By product means multiplication. So, the multiplication of five and a number. Before, you have been told to represent the number with "x", and thats what you will do now.
(5*x) = (5x)
(5x) - (something)
"The difference between the product of five and a number and three times the number"
With three times the number, we mean the same letter "x" & three times will be the amount of times we will multiply it. So, by the end we will have:
(5x)-(3x)
Now we just rest them
5x-3x= 2x
Hope it was helpful ;)
The difference between the product of five and a number and three times the number will be two times the number and algebraic expression will be 5x - 3x = 2x.
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
In other meaning, expression is very useful to determine the end or root value of constraint.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Given that,
x is that number,
Five times the number = 5x
Three times the number = 3x
Now,
Difference ⇒ 5x - 3x = 2x
Hence "The algebraic expression is 5x - 3x = 2x and The difference between the product of five and a number and three times the number will be two times the number".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
7. (07.03) An equation is shown below: 4(2x - 5) + 15 = 11 Write the steps you will use to solve the equation and explain each step. (5 points)
Answer:
x = 2
Step-by-step explanation:
[tex]4(2x-5)+15 = 11 => 4(2x-5) = 11 - 15 => 4(2x-5) = -4 => 2x-5 = \frac{-4}{4} => 2x-5 = -1 => 2x = -1 + 5 => 2x = 4 => x = 2[/tex]
The value of x is 2 for equation 4(2x - 5) + 15 = 11
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 4(2x - 5) + 15 = 11
Four times of two x minus five plus fifteen equal to eleven
4(2x - 5) + 15 = 11
Apply distributive property on the LHS
8x-20+15=11
8x-5=11
Add 5 on both sides
8x=16
Divide both sides by 8
x=2
Hence, the value of x is 2 for equation 4(2x - 5) + 15 = 11
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
What is the equation of the line that passes through the point (4, 4) and has a slope
of 3?
Answer:
y = 3x - 8
Step-by-step explanation:
Let me know if I am wrong.
Answer:
y=3x-8
Step-by-step explanation:
You put $1,000.00 into a saving account that gives you a 14% return. What is your growth factor?
Answer:
i would not rlly know what my growth factor is actually
Step-by-step explanation:
Hockey teams are often confronted with the dilemma of whether or not to pull a goalie at the end of the game when they are down a goal or two. One analyst reports that in 40% of those games in which a goalie was pulled a goal was scored with one empty net, and of those goals scored 25% were scored by the team that pulled the goaltender. Given that the goalie has been pulled by a team, what is the probability that team will score a goal?
Answer:
Step-by-step explanation:
so 30% of the total number of goals shot is 5
30% of what number is 5....turn ur percent to a decimal..." of " is multiply
let the number of shots represent x
0.30x = 5...divide borh sides by 0.30
x = 5/0.30
x = 16.66 shots
An experiment was performed on a 2kg block. Forces 5, 10, and 15 Newton's respectively were applied to the block for 5 seconds. Describe the difference in acceleration between the three trials?
Answer:
B) The final acceleration will triple between the first and third trial.
Cody earned $8 for each dog he walks. He also earns $10 for doing chores at home. What will Cody earn if he walks 1, 2, or 3.
Answer:
If he walks 1 dog he will make 8$ if he walks two dogs he will earn 16$ if he walks 3 dogs he will make 24$
Somone pls help if your good at math I’ll mark brainliest
Answer:
x=5
Step-by-step explanation:
(x--3)²+(4--2)²=10²
(x+3)²+36=100
(x+3)²=64
(x+3)²=8²
x=5
4x+x=25 what will x equal??
Answer:
5
Step-by-step explanation:
4x5=20
20+5=25
find the value of y.
Answer:
just take the 96 and 66 and middle it then take y multiply that=answer
Step-by-step explanation:
Answer: 48
Step-by-step explanation: 96/2
A designer lamp costs £475
It is reduced by 30% in a sale
How much does the lamp now cost?
Answer:
$332.50 is the new discounted price
Step-by-step explanation:
30% of 475
30/100 x $475. 00
= $142.50
$475.00-$142.50=$332.50
and thats the answer
What is the length of segment AB?
12!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what is 14/20 as a percentage ?
Answer:
The answer is 70% HOPED THIS HELPED !!
Step-by-step explanation:
You turn 14/20 to a decimal which is 0.7 then multiply 0.7 by 100 which equals 70%.
A taxi leaves an airport and travels 15 miles east to
drop off a passenger. The taxi driver then has to go
to a point that is 35 miles west of the airport to
drop off his second passenger. He then returns to
the airport to pick up his next fare. How many
miles did he drive?
Answer:
70 miles
Step-by-step explanation:
15 + 35 + (35 - 15) = 15 + 35 + 20 = 70
WILL MARK AS BRAINIEST
Select the correct answer. Which factor is important to consider when building a savings fund for planned, long-term needs? A. the interest rate on a long-term loan B. using investments to grow your savings C. having immediate access to cash D. the cost of credit E. securing a line of credit from a bank
Answer:
I'm certain it's B.
Step-by-step explanation:
b. using investments to grow your savings.
Help PLEASE!!!!!!!!!
Ms. Sanchez earns 3% commission on every car she sells. The dealership paid $20,000 for a car from an auction. The next day Ms. Sanchez sold the car for $38,000. What was Ms. Sanchez's commission from the
the difference in the car?
solve using substitution method
X-7y=10 X=2y
Answer: (-4,-2)
(2y)-7y=10
-5y=10
y=-2
X=2(-2)
X=-4
(-4)-7(-2)=10
-4+14=10
10=10
A bus going 45km/h travels nonstop from the northern end of town to the southern end of town in 15 minutes. How far does the bus travel?
Step-by-step explanation:
15 minutes = 0.25 hours.
Distance the bus travels
= (0.25h)(45km/h)
= 11.25km.
3x - 4 1/2 = -19 1/2