Answer:
$30
Step-by-step explanation:
x =4(3.45)+1.5(3.98)+2(4.35)+1.53
=13.8+5.97+8.7+1.53
=30
Answer the eqation
6h=-24
Answer:
h=-4
Step-by-step explanation:
6 times -4 is -24
helloo
============================
Answer:
-4
Step-by-step explanation:
6h= -24
h = -24/6
h = -4
hope this helps
please mark it as a brainiest
m/n = p-6 solve for n, literal equation
Answer:
n=m/p-6
Step-by-step explanation:
transposing we get n to be m/p-6
In the Department of Education at UR University, student records suggest that the population of students spends an average of 5.30 hours per week playing organized sports. The population's standard deviation is 3.20 hours per week. Based on a sample of 64 students, Healthy Lifestyles incorporated (HLI) Would like to apply the central limit theorem to make various estimates. Compute the standard error of the sample mean. (Round your answer to 2 decimal places.)
What is the chance HLI will find a sample mean between 4.7 and 5.9 hours? (Round z and standard error values to 2 decimal places and final answer to 4 decimal places.)
Calculate the probability that the sample mean will be between 5.1 and 5.5 hours. (Round z and standard error values to 2 decimal places and final answer to 4 decimal places.)
a. The standard error of the sample mean is 0.40 hours per week
b. The chance HLI will find a sample mean between 4.7 and 5.9 hours is 86.64%
c. The probability that the sample mean will be between 5.1 and 5.5 hours is 38.30%
a. To compute the standard error of the sample mean, we use the formula:
SE = σ / √(n)
where σ is the population standard deviation and n is the sample size.
Given that σ = 3.20 hours per week and n = 64, we have:
SE = 3.20 / √(64) = 0.40 hours per week
b. To find the chance that HLI will find a sample mean between 4.7 and 5.9 hours, we need to calculate the z-scores for these values:
z1 = (4.7 - 5.30) / 0.40 = -1.50
z2 = (5.9 - 5.30) / 0.40 = 1.50
Using a standard normal distribution table or calculator, we can find the probability of the sample mean falling between these two values:
P(-1.50 < z < 1.50) = P(z < 1.50) - P(z < -1.50) = 0.9332 - 0.0668 = 0.8664
Therefore, there is an 86.64% chance that HLI will find a sample mean between 4.7 and 5.9 hours.
c. To calculate the probability that the sample mean will be between 5.1 and 5.5 hours, we first need to calculate the z-scores for these values:
z1 = (5.1 - 5.30) / 0.40 = -0.50
z2 = (5.5 - 5.30) / 0.40 = 0.50
Using a standard normal distribution table or calculator, we can find the probability of the sample mean falling between these two values:
P(-0.50 < z < 0.50) = P(z < 0.50) - P(z < -0.50) = 0.6915 - 0.3085 = 0.3830
Therefore, there is a 38.30% chance that the sample mean will be between 5.1 and 5.5 hours.
Learn more about Healthy Lifestyles Incorporated (HLI) at https://brainly.com/question/17156010
#SPJ11
3 question someone help me also each of the question be will 100 points if you answered.
Answer:
division is required on left side
Step-by-step explanation:
24 _ - \(\frac{3}{4}\)
consider 24 ÷ - \(\frac{3}{4}\)
change division to multiplication and turn fraction upside down
= 24 × - \(\frac{4}{3}\)
= 8 × - 4
= - 32 ← equals value on right side
point on the graph y = 3x + 1 y = 6x + 2
the point on the graph of y = 3x + 1 and y = 6x + 2 is (-1/3, 0).
How to find?
To find a point on the graph of y = 3x + 1 and y = 6x + 2, we need to solve the system of equations by setting them equal to each other:
3x + 1 = 6x + 2
Subtracting 3x from both sides, we get:
1 = 3x + 2
Subtracting 2 from both sides, we get:
-1 = 3x
Dividing both sides by 3, we get:
x = -1/3
Now we can substitute this value of x into either of the original equations to find the corresponding value of y. Let's use y = 3x + 1:
y = 3(-1/3) + 1
y = -1 + 1
y = 0
Therefore, the point on the graph of y = 3x + 1 and y = 6x + 2 is (-1/3, 0).
In mathematics, a graph is a visual representation of a set of data, often using a coordinate system.
To know more about Graph visit:
https://brainly.com/question/16608196
#SPJ1
If two consecutive sides of a rhombus are represented by 3x - 6 and x + 14, then the perimeter of rhombus is
Answer:
96 unitswe know that in a rhombus all the sides are equal so
3x-6=x+14
3x-x=14+6
2x=20
x=10
--------------------
check
3*10-6=10+14
24=24
--------------------
perimeter
24*4=96 units
the equation of the tangent line to the curve y=f(x) at the point p=(a,f(a)) is
The equation of the tangent line to the curve y = f(x) at the point p = (a, f(a)) can be determined using the point-slope form, which is y - f(a) = f'(a)(x - a).
The equation of the tangent line to a curve at a specific point can be found using calculus. The point-slope form of a line is y - y₁ = m(x - x₁), where (x₁, y₁) represents the coordinates of a point on the line and m is the slope of the line.
In this case, the point on the tangent line is p = (a, f(a)), where f(a) represents the y-coordinate of the point on the curve. The slope of the tangent line at point p is given by f(a), which represents the derivative of the function f(x) evaluated at x = a.
Therefore, the equation of the tangent line becomes y - f(a) = f'(a)(x - a). This equation describes the line that touches the curve y = f(x) at point p = (a, f(a)) and has the same slope as the curve at that point.
Learn more about the tangent line here:- ]brainly.com/question/31617205
#SPJ11
pam was able to bake 18 loaves of bread per hour. at this rate how many loaves of bread will she make after 25 Hours
Answer:
450
Step-by-step explanation:
18x25
Multiply amount per hour by total hours:
18 x 25 = 450 loaves total
A new car is purchased for 20300 dollars. The value of the car depreciates at 9. 5% per year. What will the value of the car be, to the nearest cent, after 11 years?.
The value of the car to be, to the nearest cent, after 11 years is $7641.
Given data;
A brand-new car is bought for $20300. The car's value decreases by 9.5% annually.
To know the value of the car to be, to the nearest cent, after 11 years;
\(S(t) = 20300*(0.915)^t\)
\(S(11) = 20300*(0.915)^1^1\)
\(S(11) = 20300*0.376\)
\(S(11) = 7640.61\)
Hence, the value of the car after 11 years is $7641.
To learn more about Cent click here:
brainly.com/question/25713229
#SPJ4
Round the fraction to the nearest whole number. 3 1/2
Answer:
4
Step-by-step explanation:
3 1/2= 3.5
5 rounds up, so it'll be 4
Answer:
4 hope this helps
proportionality means the slope of a constraint is proportional to the slope of the objective function. T/F
False. Proportionality between the slopes of a constraint and the objective function is not a general property in optimization. The relationship between these slopes depends on the specific problem and can vary.
The proportionality between the slopes of a constraint and the objective function is not a universal principle in optimization. It is true that in some cases, there may be a proportional relationship between these slopes. This means that if the slope of a constraint increases or decreases, the slope of the objective function will also increase or decrease by a proportional amount. However, it is important to note that this proportionality is not a fundamental characteristic of all optimization problems.
In many optimization problems, the slopes of constraints and the objective function may have different behaviors and may not be directly related. The slopes can vary independently based on the specific problem structure, constraints, and objective function. In some cases, the slopes may even have an inverse relationship, meaning that an increase in the slope of a constraint leads to a decrease in the slope of the objective function, or vice versa.
In conclusion, while proportionality between the slopes of a constraint and the objective function can occur in some optimization problems, it is not a general property and does not hold true for all scenarios. The relationship between these slopes is problem-dependent and can vary significantly.
Learn more about independently : brainly.com/question/31707382
#SPJ11
Find the difference. Write your answer in simplest form:
4 7/9 -2 2/3
2 1/9 is the answer
the latex didn't workk
Answer:
i think the answer is 2.11
Step-by-step explanation:
How many roots does the polynomial equation have?
2x + 6x^4 - 3x² + x^2 - 9x - 1=0
A. 5
B. 9
C. 1
D. 6
Answer:
5 roots does the polynomial equation have.
Problem \( 1.5 \) in ch. 1 of Dalgaard. On p. 27, replicate was used to simulate the distribution of the mean of 20 random numbers from the exponential distribution by repeating the operation 10 times
The exponential distribution is one of the most widely used probability distributions in statistics. The exponential distribution is frequently employed to model the time between events in a Poisson process, such as the interval between customer arrivals at a store or between machine breakdowns on a production line.
A sample from an exponential distribution can be generated in R by using the rexp function. To compute the mean of the sample, one can use the mean function. However, to simulate the distribution of the mean of 20 random numbers from the exponential distribution, the replicate function is used.
The sample is stored in a vector called "samp."Next, the mean of the sample is computed using the mean function as follows: mean(samp)The mean function takes the average of the values in the "samp" vector. The output of the mean function is a single value that represents the sample mean.
This computation is then repeated ten times using the replicate function.replicate(10, mean(rexp(20,rate = 1)))
The replicate function is used to repeat the operation of generating a random sample of size 20 from the exponential distribution and taking the mean of the sample ten times.
The output of this command is a vector containing the means of the ten random samples. This vector can be used to simulate the distribution of the mean of 20 random numbers from the exponential distribution.
To know more about probability distributions visit :
https://brainly.com/question/29062095
#SPJ11
Clarence has $90 in a savings account that earns 10% annually. The interest is not
compounded. How much will he have in 5 years?
Answer:
132 dollars I think
Step-by-step explanation:
please solve this for me :D
Multiplication fact is 4 x 4
Division fact is 16 ÷ 4
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
16
4 4 4 4
This means,
Multiplication facts = 4 x 4 = 16
Division facts = 16 ÷ 4 = 4
Thus,
The multiplication and division facts are:
4 x 4 and 16 ÷ 4.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Si: Tg θ =√2 ∧ θ es agudo √7 Calcular: A = 3(Sen θ + Cos θ) - √7
Answer:
\(A \approx 1.488\)
Step-by-step explanation:
Por definición de razones trigonométricas, tenemos las siguientes identidades:
\(\tan \theta = \frac{y}{x} = \sqrt{2}\) (1)
\(\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}\) (2)
\(\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}\) (3)
Si \(\theta\) es agudo, entonces \(x, y > 0\).
De (1), suponemos \(x = 1\) que \(y = \sqrt{2}\), entonces los valores de las funciones seno y coseno:
\(\sin \theta = \frac{\sqrt{2}}{\sqrt{5}} = \sqrt{\frac{2}{5} }\)
\(\sin \theta = \frac{\sqrt{10}}{5 }\)
\(\cos \theta = \sqrt{\frac{1}{5} }\)
\(\cos \theta = \frac{\sqrt{5}}{5}\)
Por último, calculemos \(A\):
\(A = 3\cdot \left(\frac{\sqrt{10}}{5} + \frac{\sqrt{5}}{5} \right) - \sqrt{7}\)
\(A \approx 1.488\)
Mrs. Martz is travelling to 300 miles to Florida
for a vacation. She has already travelled 60% of
the trip. How many miles has she gone?
Answer:
180 miles
Step-by-step explanation:
Savannah has an action figure collection. She keeps 57 of the action figures on her wall, which is 19% of her entire collection. What is the total number of action figures in Savannah's collection?
Answer:
She has a total of 300 action figures.
Step-by-step explanation:
19 : 100 = 57 : x
x = 100/19 * 57
x = 300
What are the solutions of the equation (x - 3)2 + 2(x - 3) - 8 = 0? Use u substitution to solve.
Ox= -5 and x = 1
O x= -1 and x = 5
O x= -1 and x = -7
Ox= 1 and x = 7
Given:
The equation is:
\((x-3)^2+2(x-3)-8=0\)
To find:
The value of x.
Solution:
We have,
\((x-3)^2+2(x-3)-8=0\)
Substitute \(x-3=u\).
\(u^2+2u-8=0\)
Splitting the middle term, we get
\(u^2+4u-2u-8=0\)
\(u(u+4)-2(u+4)=0\)
\((u-2)(u+4)=0\)
Using zero product property, we get
\(u-2=0\text{ and }u+4=0\)
\(u=2\text{ and }u=-4\)
Now, substitute \(u=x-3\).
\(x-3=2\text{ and }x-3=-4\)
\(x=2+3\text{ and }x=-4+3\)
\(x=5\text{ and }x=-1\)
Therefore, the correct option is b.
The solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.
Quadratic equationFrom the question, we are to determine the solution of the given equation
(x - 3)² + 2(x - 3) - 8 = 0
First, we will expand the equation and clear the brackets
\((x - 3)^{2} + 2(x - 3) - 8 = 0\)
\((x - 3)(x - 3) + 2(x - 3) - 8 = 0\)
\(x^{2} -6x + 9 +2x - 6 - 8 = 0\)
Simplifying
\(x^{2} -4x - 5 = 0\)
Factorizing, we get
\(x^{2} -5x +x- 5 = 0\)
\(x(x-5)+1(x- 5) = 0\)
\((x+1)(x-5)= 0\)
Then,
x + 1 = 0 or x - 5 = 0
x = -1 or x = 5
Hence, the solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.
Learn more on solving Quadratic equations here: https://brainly.com/question/8649555
the average weight of a mature human brain is approximately 1400 grams. what is the equivalent weight in kilograms? and in pounds? I NEED STEP BY STEP
Answer:
1.4
Step-by-step explanation:
you need to multiply 1400 by 0.001 because 1 gram is the equivalent to 0.001 kilograms
Answer:
1.4
Step-by-step explanation:
a ratio of the vertical change to the horizontal change of two points is called:_____.
Answer:
Step-by-step explanation:
Slope of the line.
It takes 66 pounds of see to completely plant a 10 acre field. How many acres can be planted per pound of seed.If necessary round your answer to the nearest hundredth
Okay, here we have this:
Considering the provided information, we are going to calculate the requested value, so we obtain the following:
\(undefined\)Find the measurement indicated in each parallelogram.
Find angle T
Angle V is 14x+13 and angle T is 16x-3
I need help figuring out the angle of T through the equation
Answer:
m∡T = 125°
Step-by-step explanation:
opposite angles in a parallelogram are equal so you can set each expression for V and T equal to each other
14x + 13 = 16x - 3
13 = 2x - 3
16 = 2x
x = 8
∡T: 16(8) - 3
128 - 3 = 125°
Find the area of the region bounded by graph of f(x)=xsin(x²) and the x-axis between x=0 and x= √x The area bounded by the region is __ unit(s)²
The area bounded by the region is 2 square units. To find the area of the region bounded by the graph of f(x) = x sin(x^2) and the x-axis between x=0 and x=√x, we need to integrate the absolute value of the function over the given interval.
∫[0, √π] |x sin(x²)| dx
Since the function is symmetric about the origin, we can write the integral as:
2∫[0, √π/2] x sin(x²) dx
Using the substitution u = x^2, du/dx = 2x dx, we get:
∫[0, π/2] sin(u) du
Integrating this gives us:
[-cos(u)] [0, π/2] = [-cos(π/2) + cos(0)] = [1 + 1] = 2
Therefore, the area bounded by the region is 2 square units.
Learn more about area here:
https://brainly.com/question/1631786
#SPJ11
Manueala scored
−
4
1
2
−4
2
1
minus, 4, start fraction, 1, divided by, 2, end fraction points relative to her season average against the China Dragons. She scored
1
1
2
1
2
1
1, start fraction, 1, divided by, 2, end fraction points relative to her season average against the Canada Moose.
Comparison of Manueala's relative number points:
1 1/2 > - 4 1/2
Manueala scored more points against the China Dragons than against Canada Moose .
The correct answer is A.
What is an inequality?Inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.
Given,
Manueala scores relative to average against China Dragons
= -4 1/2 points
Manueala scores relative to average against Canada Moose
= 1 1/2 points
If Manueala scored x points,
season average against China Dragons is y.
season average against Canada Moose = z
x - y = -4 1/2
x - z = 1 1/2
∵ 1 1/2 > - 4 1/2
∴ x - z > x - y
- z > -y
⇒ z < y
Hence,
Relative scores to both seasons can be written as inequality
1 1/2 > - 4 1/2
Season average against China Dragons is more than season average against Canada Moose.
Learn more about inequality here:
https://brainly.com/question/30228778
#SPJ1
9.2 Find the
Medn
of the following discrete
a x 20
90
SO
20
6
2
3
Answer:
Poorly formated. Please fix the question so it is more understandable!
Miles and kilometers are twi different scales for measuring distances. A 5-kilometer race is approximately 3.1 miles, and a 10-kilometer race id approximately 6.2 miles. Write an equation that shows the approximate distance in kilometers as a function if the distance in miles
Answer:
\(x=\dfrac{y}{0.62}\)
Step-by-step explanation:
\(5\ \text{km}=3.1\ \text{miles}\\\Rightarrow 1\ \text{km}=\dfrac{3.1}{5}=0.62\ \text{miles}\)
\(10\ \text{km}=6.2\ \text{miles}\\\Rightarrow 1\ \text{km}=\dfrac{6.2}{10}=0.62\ \text{miles}\)
Let \(y\) be the distance in miles. So distance in km is given by
\(x=\dfrac{y}{0.62}\).
The equation that shows the approximate distance in kilometers as a function if the distance in miles is \(x=\dfrac{y}{0.62}\).
if the traingle.is translated using the rule (x,y) -> (x +3,y-5), by how many units and in what direction was the preimage translated
Three to the right and five down
pls help this assignment is due tomorrow!!!! square root of 144x^3
Answer:
Step-by-step explanation:
First take the square root of the first number 144, then take the square root of your variable x^3
your final answer should be 12x^(3/2)