Step-by-step explanation:
use the simple interest formula
Determine whether the function is linear or quadratic.
y = (x + 1)(8x - 8) - 8x2
a) Linear
b) Quadratic
Answer:
it's a linear
since when you expand the equation (x+1)(8x-8) the x is equal to zero which is left for y to be the subject
8x²-24= y
A company wants to select 1 project from a set of 4 possible projects. Which of the following constraints ensures that only 1 will be selected?
a. X1 + X2 + X3 + X4 = 1
b. X1 + X2 + X3 + X4 = 1
c. X1 + X2 + X3 + X4= 1
d. X1 + X2 + X3+ X4= 0
Given:
A company wants to select 1 project from a set of 4 possible projects.
Consider the options are:
a. [tex]X_1+X_2+X_3+X_4=1[/tex]
b. [tex]X_1+X_2+X_3+X_4\leq 1[/tex]
c. [tex]X_1+X_2+X_3+X_4\geq 1[/tex]
d. [tex]X_1+X_2+X_3+X_4\geq 0[/tex]
To find:
The constraints that ensures only 1 will be selected.
Solution:
It is given that the company wants to select 1 project from a set of 4 possible projects. It means the sum of selected projects must be equal to 1.
[tex]X_1+X_2+X_3+X_4=1[/tex]
Therefore, the correct option is (a).
Can someone help me with this question
Answer:
The two minimum numbers = 5, 5
Step-by-step explanation:
Let the first number = x
let the second number = y
Their sum: x + y = 10
Sum of their squares: = x² + y²
y = 10 - x
f(x) = x² + (10 - x)²
f(x) = x² + 100 - 20x + x²
f(x) = 2x² - 20x + 100
Find the derivative of f(x), to obtain the critical points;
f'(x) = 4x - 20
4x - 20 = 0
4x = 20
x = 5
The value of y is calculated as;
y = 10 - x
y = 10 - 5
y = 5
The two minimum numbers = 5, 5
what are the multiples of 5 between 61 and 69
Answer:
I think it is 65 because we can divide it by 5
Answer:
i think there is only one multiple which is 65
PLEASE HELP FAST I NEED HELP WITH THIS!
Answer:
Step-by-step explanation:
13. Find the total number of coinsss
8+4+3+1
=16
First pick:
1/16
Second pick:
1/15
So I guess your chances are 1/16+1/15 ?
=31/240
hopefully
14.
add the sockss
3+4+3
= 10
First pick
1/10
Second Pick
1/9
Add them:
19/90
Forgive me if this is wrong
:,)
HPC Education
Year 5* 6 Problem Solving Questions
10. Megan and Olivia had some money. They made a donation of $100 together. Megan donated of
her money. After donating $24, Olivia found that she had $32 more than Megan. What was the
sum of money both of them had at first
PLEASE HELP!!!!!!!!!!!!!!!!!!
What can you tell about a triangle when vibe three side lengths
Answer:All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
Hope it helps...
6!3! divided by 2!5!
Simplify the answer as much as possible.
Answer:
3/20
Step-by-step explanation:
Set up the quotient:
6!3!
------
2!5!
6! is equivalent to 6*5!, and so we have:
6*5!3! 6*5!3! 6*3*2*1 6
------------ which reduces to ------------- or ------------------- or ------------
2!5! 2!5! 2*5*4*3*2*1 (2)*5*4
3
This final result simplifies further to ---------------
20
Which statement about population parameters and point estimates is false? O A. o is the population standard deviation. It is usually unknown. B. p is the sample mean. It is used to estimate the population mean. C. sis the sample standard deviation. It is the square root of the variance. O D. nis the sample size. It is used to calculate the sample mean. SUBMIT
Using the Central Limit Theorem, the false statement is given by:
B. [tex]\mu[/tex] is the sample mean. It is used to estimate the population mean.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with population mean [tex]\mu[/tex] and population standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s_E = \frac{\sigma}{\sqrt{n}}[/tex].
If we have the standard deviation for the sample s, the Central Limit Theorem can also be applied.
The sample mean is given by [tex]\overline{x}[/tex], hence option B is false.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
#SPJ1
What is Limit of (3 x minus 3) Superscript five-halves Baseline as x approaches 4
Answer:
d 243
Step-by-step explanation:
The solution of given function is 243
What is limit of function?
A limit defined as the value which a function approaches as that function's inputs get closer and closer to some number
[tex]lim\ (3x-3)^\frac{5}{2} \\x\to 4[/tex]
[tex](3(4)-3)^\frac{5}{2}[/tex]
[tex](12-3)^\frac{5}{2}[/tex]
[tex](9)^\frac{5}{2}[/tex]
[tex](3^2)^\frac{5}{2}[/tex]
[tex]3^5[/tex]
243
Hence, the solution of given function is 243
Learn more about limit of function
https://brainly.com/question/23008590
#SPJ2
The temperature today will be at most 50°F. Write Inequality
Let h be high temperature for today.
We are told that today high temperature will be at least 50 degrees. This means the high temperature will be greater than or equal to 50 degrees.
Let us represent this information by our inequality.
Therefore, our desired inequality will be .
h [tex]\geq[/tex] 50 degrees
Im Struggling i could use some help pls!!
Answer:
option4 : 0.4
Step-by-step explanation:
[tex]Sin N = \frac{Opposite}{hypotenuse}[/tex]
[tex]sin 7 = \frac{x}{3.4}\\\\3.4 \times sin 7 = x \\\\3.4 \times 0.122 = x \\x = 0.41[/tex]
A collection of 39 coins consists of dimes and nickels. The total value is $2.75. How many dimes and how many nickels are there?
Answer:
23 nickels and 16 dimes
Step-by-step explanation:
16 dimes = 1.60
23 nickels = 1.15
1.60 + 1.15 = 2.75
solve the inequality
2(4 x + 1)< 3 (2 x - 3)
Answer:
[tex]2 (4x + 1) < 3(2x - 3) \\8x + 2 < 6x -9 \\8x - 6x < -9 - 2\\2x < -11\\\\x< - \frac{11}{2}[/tex]
Answer:
x> - 11/2
Step-by-step explanation:
See image below:)
What angle is formed by the arms of a clock when the time is 6:50 a.m
Find the area of each sector. Round your answers to the nearest tenth.
Answer:
a = 117.3 cm²
Step-by-step explanation:
a = (1/2)∅r²
a = (1/2)(7π/6)(8²)
a = (1/2)(7 * 3.14159/6)(64)
a = 117.3 cm²
Which of the following is not equal to a ratio of 5 to 2?
A. 25: 10 C.35: 15
B. 35: 14 D. 40:16
Answer:
C 35:15
Step-by-step explanation:
because 35:15 =5:3 so it is not equal to a ratio of 5 is to 2
Answer:
C
Step-by-step explanation:
If you simplify all the ratios, then you get the following:
A. 25/5 : 10/5 = 5:2
B. 35/7 : 14/7 = 5:2
C. 35/5 : 15/5 = 7:3
D. 40/8 : 16/8 = 5:2
50 POINTS PLZ HELP!!!
Your boss hands you the monthly data that shows the number of orders coming in to and out of the warehouse. The data is in the table below. Explain to your boss, in complete sentences, the solution to this system and what the solution represents.
Answer:
The number of orders in is equal to the number of orders out in month 4 (April). It appears the solution represents the time at which warehouse shipments caught up with order quantities.
Step-by-step explanation:
For this table to make any sense, we have to assume that the year started with 3 orders in January, and that one order was shipped in January. Then the number of orders was 1 or 2 each month after that, and the number of orders shipped per month was 2 each month after that. That is, the tables represent year-to-date totals of orders in and out.
Alternate Interpretation
If the numbers here are actual orders in and out in each of the listed months, it appears the warehouse is getting better at shipping orders. That is, they are increasing the shipment rate by 2 orders a month each month. They will eventually ship enough to cover the total number of orders in (total of 20 by April), but total shipments through April only amount to 16 orders.
Answer:
Writing about two pages any topic that you want, such as story, project, event, idea, .etc.please Do not copy and paste from the Interne.
The distance that students drive to school is best modeled with a skewed right distribution that has a mean of 10 miles and a standard deviation of 2 miles. Suppose a sample of 100 students has been taken and the sample mean distance for the sample is calculated. Describe the shape of the sampling distribution of the sample mean
Answer:
The answer is "Approximately normal".
Step-by-step explanation:
sample size[tex]n=100[/tex]
Sample size [tex]n \geq 30[/tex]
It is because [tex]C \perp T[/tex] the sampling distribution of the sample means is approximately normal.
Identify the restrictions on the domain.
x+1x+9÷xx−4
x≠−1,4
x≠−9,4
x≠−1,0
x≠−9,0
[tex]Identify the restrictions on the domain. x+1x+9÷xx−4x≠−1,4x≠−9,4x≠−1,0x≠−9,0[/tex]
the height of a tower is 15m more than tiwce the height of a building find the height of the building if tower is 255m tall
Answer: 120m
Step-by-step explanation:
Let the height of the building be represented by x.
Since the height of a tower is 15m more than tiwce the height of a building, the height of the tower will be:
= (2 × x) + 15
= 2x + 15
Since the tower is 255m tall, therefore,
2x + 15 = 255
2x = 255 - 15
2x = 240
x = 240/2
x = 120
The height of the building is 120m
Is the ordered pair (5, 24) a solution of y = 4x + 4? *
Answer:
yes
Step-by-step explanation:
y = 4x + 4
24 = 4(5) + 4
24 = 20 + 4
24 = 24
Find the value of the polynomial when x=1 and y=-2
Answer:
the answer is : ................
5
The age distribution of a sample of part-time employees at Lloyd's Fast Food Emporium is: Ages Number 18 up to 23 6 23 up to 28 13 28 up to 33 33 33 up to 38 9 38 up to 43 4 What type of chart should be drawn to present this data
Answer:
Option B
Step-by-step explanation:
Options for the given question -
A. A histogram
B. A cumulative frequency table
C. A pie chart
D. A frequency polygon
Solution
Option B is correct
The data represents the frequency value for a given interval and hence it represents the cumulative form of frequency distribution.
Determine the distance between points (x1, y1) and point (x2, y2), and assign the result to point Distance. The calculation is:
Given:
The two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
To find:
The distance between given points.
Solution:
Plot the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] randomly randomly on a coordinate plane, then form a right angle triangle as shown in the below figure.
Now, the hypotenuse is the distance between the two points.
[tex]\text{Perpendicular}=y_2-y_1[/tex]
[tex]\text{Base}=x_2-x_1[/tex]
Using Pythagoras theorem,
[tex]\text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2[/tex]
[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Taking square root on both sides, we get
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] [Distance is always positive]
Therefore, the distance between the two points is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. It is also known as distance formula.
Susan really loves the lemon-flavored Fruity Tooty candies, but there always seems to be a lot of grape-flavored candies in each bag. To determine whether this is because grape candies are so popular or because each bag contains fewer lemon candies, Susan randomly picks a Fruity Tooty candy from her bag, records its flavor, and places it back in the bag. Each bag contains a mixture of cherry, grape, apple, lemon, and orange flavors. Which statement about Susan's distribution of sample proportions is true?
a. The distribution of the count of picking a cherry candy cannot be modeled as approximately normal if Susan picks candies over 200 times.
b. The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times.
c. The sample proportion of drawing an orange candy is not a binomial distribution.
d. The distribution of lemon candy can be modeled as normal if Susan picks candies 10 times.
Option B, The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times
Step-by-step explanation:
The distribution of apple candies can be represented as normal curve and hence the sample proportion for this is true and can be drawn.
The rest other cases do not represent a normal distribution and hence it will not be easy to plot curve for these samples.
hence, option B is correct
6 1/8 qt = ___ c please help
Answer:
24 1/2 cups
Step-by-step explanation:
we can change 6 1/8 into 49/4
there are 2 cups in 1 quart
now we can set up a proportion:
2÷1 = 'c'÷ 49/4
cross-multiply to get:
49/4 × 2 = c
49/2 = c
c = 24.5
A furniture delivery truck leaves the store at 8 A.M. It travels 6 miles east, then 4 miles south, then 2 miles west and then 4 miles north.
At the end of this route, how far is the truck from the store?
Answer:
It's 4 miles East from the store.
Step-by-step explanation:
6 miles east - 2 miles west = 4 miles East
Displacement for north and south should cancel out since they are equal to each other.
A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or French fries. He uses a computer program to randomly select three dishes for Monday’s lunch.
Answer:
20%
Step-by-step explanation:
vrrggrgrhreah