Answer:
27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
x = -3
y = 3
y - 8x
Step 2: Evaluate
Substitute in variables: 3 - 8(-3)Multiply: 3 + 24Add: 27[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{y - 8x}\\\\\large\textsf{= 3 - 8(-3)}\\\\\large\textsf{8(-3) = \bf -24}\\\\\large\textsf{= 3 - \bf 24}\\\\\large\textsf{= \bf 27}\\\\\boxed{\boxed{\large\textsf{\huge\textsf{Answer: \bf 27}}}}\huge\checkmark\\\\\\\\\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
find all missing angles in the following diagram
Step-by-step explanation:
the item angle on the left line is also 130 degrees, as these 2 equally long lines create a triangle with 2 equal sides.
the two internal angles are the complement from 130 to 180 degrees, as every straight line stands for 180 degrees.
so, 180-130 = 50 degrees.
=> both internal angles are 50 degrees.
that makes the angle at the bottom tip of the triangle the complement of both 50 degree angle to 180, because the sum of all angles in a triangle is always 180 degrees.
so, 180 - 50 - 50 = 80 degrees.
and the outside angles of that triangle tip angle are each half of the complement of these 80 degrees to 180 (resistive to the bottom horizontal line).
180 - 80 = 100
100/2 = 50
so, both outside bottom angles are again 50 degrees.
The sales department has determined that the average purchase value for their catalog business is normally distributed with a mean of $41.34 and a standard deviation of $13.54. What is the purchase value at the 30th percentile
Answer:
The purchase value at the 30th percentile=34.24
Step-by-step explanation:
We are given that
Mean,[tex]\mu=41.34[/tex]
Standard deviation,[tex]\sigma=13.54[/tex]
We have to find the purchase value at the 30th percentile.
[tex]xth percentile =\mu+Z\times \sigma[/tex]
Where Z is the critical value of x% confidence interval
x=30
Critical value of Z at 30% confidence interval=-0.5244
Using the formula
30th percentile=[tex]41.34+(-0.5244)(13.54)[/tex]
30th percentile=[tex]41.34-7.100376[/tex]
30th percentile[tex]\approx 34.24[/tex]
Hence, the purchase value at the 30th percentile=34.24
which of the following is a geometric sequence -3,3,-3,3... 11,16,21,26, ... 6, 13, 19, 24, ... -2,6,14,22, ...
Answer:
p and q are two numbers.whrite down an expression of
Use multiplication to solve the proportion.
y/9 = 44/54
Answer: [tex]y=7\dfrac{1}{3}[/tex].
Step-by-step explanation:
[tex]\dfrac{y}{9} =\dfrac{44}{54} \\\\y \times 54=44 \times 9\\\\54y=396\\\\54y \div 54=396 \div 54\\\\y=7\dfrac{1}{3}[/tex]
What does it mean if a project has a Percent Spent of 90%, Percent Scheduled of 85%, and a Percent Complete of 95%
Answer:
It means that the project is in good shape, within budget an d it would finish early
Step-by-step explanation:
The answer to this question is pretty straight forward. If a project has the percent spent fine 90 percent, the scheduled has percentage of 85 percent and the complete is at the percentage of 95, what it means is that this project is in good shape, the project being carried out is still being done within the proposed budget and at 95% complete, it means that the project is going to finish early.
Identify the sampling method that was used. Cattle tag numbers at a livestock auction are selected using a random number generator. The cattle are then tested for mad cow disease.
a. Stratified
b. Systematic
c. Random
d. Cluster
Answer:
c. Random
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Systematic sampling.
2. Convenience sampling.
3. Stratified sampling.
4. Cluster sampling.
5. Random sampling.
Random sampling can be defined as a type of sampling in which the researcher select a sample of the population in order to determine an outcome.
Thus, the type of sampling used is random sampling.
Which of the following is an acute triangle?
70
30*
24°
45
126
132
36°
90°
45
559 55°
Triangle A
Triangle B
Triangle C
Triangle D
A. Triangle B
B. Triangle A
O
C. Triangle C
O.
D. Triangle D
The correct answer will be option (B) Triangle A
Acute triangleAn acute-angled triangle is a type of in which all the three internal angles of the triangle are acute, that is, they measure less than 90°
How to solve this problem?
The steps are as follow:
In acute triangle the the internal angle should not or greater than 90 degreeIn triangle B one of internal angle is 126 degree which is greater than 90 degree so it is not acute triangleOne internal angle of triangle C is 90 degree so it is also not acute triangleFor triangle D one angle is 132 degree which is greater than 90 degree so it also not acute triangleIn triangle A all the internal angle is less than 90 degree so it is acute triangleSo the triangle A is acute triangle
Learn more about Acute triangle here:
https://brainly.com/question/1058720
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A student selecting 3 classes for Winter quarter there are 4 drawing and design courses 3 general education courses and 3 other majors that can fit in their schedule it said student is only taking one course from each category determine the number of possible class schedules
Answer:
36 possible class schedules
Step-by-step explanation:
1st - 4 ways
2nd - 3 ways
3rd - 3 ways
4 x 3 x 3 = 36 possible class schedules
The number of possible class schedules is 36.
What is a permutation?The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.
Given:
A student selecting 3 classes for Winter quarter.
There are 4 drawing and design courses, 3 general education courses and 3 other majors that can fit in their schedule,
it said student is only taking one course from each category.
The possible class schedules,
= 4 x 3 x 3
= 36 possible ways.
Therefore, there are 36 possible ways.
To learn more about the permutation;
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(x+2)(x+3)(x+4)x(+5)-48
Answer:
(12+2)(15+3)(9+4)(2+5)-48
=4
Young invested GH150,000 and 2.5% per annum simple interest. how long will it take this amount to. yield an interest of GH11,250,00
Answer: 3 years
Step-by-step explanation:
Interest is calculated as:
= (P × R × T) / 100
where
P = principal = 150,000
R = rate = 2.5%.
I = interest = 11250
T = time = unknown.
I = (P × R × T) / 100
11250 = (150000 × 2.5 × T)/100
Cross multiply
1125000 = 375000T
T = 1125000/375000
T = 3
The time taken will be 3 years
Domain and range
O Function
O Not a function
Answer:
Radiation 1- Function
Radiation 2- Not a function
Radiation 3- function
Radiation 4- function
Answer:
1 - Function
2 - Not a function
3 - function
4 - function
Step-by-step explanation:
TRUE or FALSE: The regression equation is always the best predictor of a y value for a given value of x. Defend your answer.
Answer:
FALSE
Step-by-step explanation:
The regression equation is a prediction model which is generated for a given independent, x and dependent, y variable. The regression model is usually ideal when both the dependent and independent variables are numerical. The regression equation cannot be generated if either the x or y value is non-numeric. In such situation, classification models may be better suited for such cases especially if there is no efficient method of converting the non-numeric column into a numeric variable.
Find the simple interest on the following. 1 ) Rs 1,760 for 3 years 6 months at the rate of 12% p.a.
Plss help me
Answer:
739.2
Step-by-step explanation:
True/False Questions - one attempt tor each question
If f is a decreasing function on an interval, then f'(x) > 0 on that interval.
True
False
Submit Question
Answer:
False
Step-by-step explanation:
f'(x) would be a negative number. Hence less than zero.
Which operation will solve the following word problem? Andrea's class has 20 students and half of the students are studying math, half of these are studying word problems. How many are studying word problems?
Addition
Subtraction
Division
Multiplication
divide .2÷20 =10 10 students are Studing word problems
Add. Please show work too.
Answer:
-36m^3-21n^3+85mn^2+36m^2n
Step-by-step explanation:
That's what the calculator says:).
Which of the following numbers are less than -0.65? Select all that apply.
-0.99
-4/5
-1/6
NEXT QUESTION
Answer -0.99 and -4/5
Step-by-step explanation:
-4/5 is equal to -0.8
Both -0.8 and 0.99 are to the left of -0.65, which is why they're less than 0.65.
1/6 = -0.16
Since -0.16 is to the right of -0.65 it is more than, not less
My reason:
As you go rightward, you increase the numbers by 1, which is why the numbers closer to the right are bigger than the numbers closer to the left.
(sorry for answering when it's already been two weeks lol. I felt the urge to answer-)
Find the probability of selecting 3 cards from a standard deck without
replacing them and all 3 are hearts.
Answer:
B
Step-by-step explanation:
THere are 52/4= 13 hearts we can draw
The number of ways to draw 3 hearts from 13 is
13C3= 286
The number of ways to draw 3 cards from 52 is
52C3= 22100
divide these
286/22100= 11/850
This is answer B
If you draw a card with a value of three or less from a standard deck of cards, I will pay you $41. If not, you pay me $11. (Aces are considered the highest card in the deck). If you played this game 877 times how much would you expect to win or lose?
There are 12 cards with a value ≤ 3 (3 between 1, 2, and 3, and multiply by 4 to count each suit). So the probability of drawing one of these cards and thus winning the game is 12/52 = 3/13.
The expected winnings for playing this game once are
3/13 × ($41) + 10/13 × (-$11) = $1
so after playing 877 times, you can expect to win a total of $877.
if the area of a rectangle is 144cm and breadth is 6cm, find the perimeter of the rectangle
Find the length by dividing area by breadth:
144 /6 = 24 cm
Perimeter = 2breath + 2length
Perimeter = 2(6) + 2(24)
Perimeter = 12 + 48
Perimeter = 60 cm
Answer:
36
Step-by-step explanation:
Area = L*W
A = 144 cm^2
w = 6
L=?
144 = 6*L Divide by 6
144/6 = 6L/6
L = 24
P= 2w + 2L
P = 2*6 + 2*24
P = 12 + 25
P = 36 cm
divide 18/7 by 8/26. Pls give the correct ans
Answer:
8.35714285714
Step-by-step explanation:
Hope it help you
Ted buys wood to build his guitars. Find the number of blocks of mahogany that Ted can afford to buy if he wishes to spend a total of $5000 this month, mahogany costs $450 per block, and he has already bought 7 blocks of spruce at $200 each.
Answer choices:
7
8
11
10
Answer:
the answer is 8
Step-by-step explanation:
Total amount Ted wishes to spend this month is $5000.
Mahogany costs $450 per block, and he has already bought 7 blocks of spruce at $200 each.
So, money spent on spruce = dollars
Money left after buying spruce = dollars
Now as $450 will be spent on buying 1 block of mahogany.
So, $3600 will be spent
and then your answer will be 8
Sarah walks into a grocery store with no more than 20 dollars to spend and needs to buy at least 3.5 pounds of flour and at least 2 pounds of sugar. Flour is 2 dollars per pound and sugar is 1.5 dollars per pound. Let x the amount of flour purchased and y be the amount of sugar purchased? Which of the following systems of inequalities represents this situation?
Answer:
x ≥ 3.5
y ≥ 2
2x + 1.5y ≤ 20
Step-by-step explanation:
Given :
Total Amount to spend ≤ $20
Let:
Amount of flour purchased = x
Amount of sugar purchased = y
Cost :
Flour = $2 per pound
Sugar = $1.5 per pound
Pounds of :
flour to be purchased ≥ 3.5
Sugar to be purchased ≥ 2
Hence, the system of inequalities :
x ≥ 3.5
y ≥ 2
Total Cost of x + total cost of y must be less than or equal to total amount
2x + 1.5y ≤ 20
Answer: x ≥ 3.5
y ≥ 2
2x + 1.5y ≤ 20
Step-by-step explanation: To write a system of inequalities, it is important to determine the restrictions. One restriction is that Sarah wants to buy at least 3.5 pounds of flour. "At least" means that 3.5 is the smallest amount she would buy and 3.5 can be included. This is expressed as x ≥ 3.5. She also wants at least 2 pounds of sugar, so similar to the flour, this can be written as y ≥ 2. Finally, the cost can be expressed as 2x + 1.5y. This is a restriction because Sarah can spend up to $20, so 2x + 1.5y is less than or equal to $20, or 2x + 1.5y ≤ 20.
A salesman receives a salary of RM 2000 per month. He wis receive a commission of RM 800 for each car he sells. If he sells n cars in a particular month,
a. Find his monthly salary when n = 18.
b. Express his salary in terms of n.
Answer:
a) month salary = RM(18×800+2000)
= RM 16400
b) his salary = RM(800n+2000)
Hope it helps
Please help
A stamp collection consists of 10 albums each containing 42 pages. How many stamps are in the total collection if 40 stamps fit on a page?
(1) 92
(2) 820
(3) 1,680
(4) 2,080
(5) 16,800
Step-by-step explanation:
Total number of albums = 10 albums[tex] \; [/tex]Number of pages in each album = 42 pages Stamps fit on 1 page = 40 stampsAs total number of pages in each album is 42 pages, so
➝ Total number of pages in 10 albums = (42 × 10) pages
➝ Total number of pages in 10 albums = 420 pages
Now, as the number of stamps fit on 1 page is 40 stamps, so
➝ Stamps fit on 420 pages = (420 × 40) stamps
➝ Stamps fit on 420 pages = 16,800 stamps
Therefore, 16,800 stamps are in the total collection.
5t/4y=3b/4c (solve for y)
I also need to know the steps.
thanks.
Answer:
[tex]y = \frac{5ct}{3b}[/tex]
Step-by-step explanation:
[tex]\frac{5t}{4y} =\frac{3b}{4c}[/tex]
1. start by multiplying y to both sides:
y × [tex]\frac{5t}{4y} =\frac{3b}{4c}[/tex] × y
[tex]\frac{5t}{4} =\frac{3b}{4c}y[/tex]
2. divide both sides by [tex]\frac{3b}{4c}[/tex]
[tex]\frac{5t}{4}/\frac{3b}{4c} =\frac{3b}{4c}y/\frac{3b}{4c}[/tex]
[tex]y = \frac{5ct}{3b}[/tex]
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis H0: µ = 12 against H1: µ < 12 using a random sample of n = 4 specimens. Calculate the P-value if the observed statistic is Xbar (average) = 11.25. Suppose that the distribution of the sample mean is approximately normal.
Answer:
The p-value of the test is 0.0013.
Step-by-step explanation:
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
12 is tested at the null hypothesis:
This means that [tex]\mu = 12[/tex]
Standard deviation of 0.5 kilograms.
This means that [tex]\sigma = 0.5[/tex]
Sample of n = 4 specimens. Observed statistic is Xbar (average) = 11.25.
This means that [tex]n = 4, X = 11.25[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{11.25 - 12}{\frac{0.5}{\sqrt{4}}}[/tex]
[tex]z = -3[/tex]
P-value:
Probability of finding a sample mean belo 11.25, which is the p-value of z = -3.
Looking at the z-table, z = -3 has a p-value of 0.0013, thus the this is the p-value of the test.
What is the confidence interval estimate of the population mean percentage change in the price per share of stock during the first quarter? Do not round intermediate calculations. Enter negative values as negative numbers, if any.
Answer:
(-0.1059 ; - 0.0337)
Step-by-step explanation:
The data table is attached in the picture below:
These is a matched pair design ; which requires taking the difference of the two values for each sample :
The mean and standard deviation of the difference will be used to construct the confidence interval :
The mean of difference, dbar = Σx/n = - 0.0698
The standard deviation of difference, Sd ;
Sd = [√Σ(d - dbar)²/(n-1)] = 0.1054
n = sample size = 25
The confidence interval :
dbar ± [TCritical * Sd/√n]
Tcritical at 90% ; df = n -1 = 25 -1
Tcritical(90% , 24) = 1.1711
C.I = - 0.0698 ± (1.711 * 0.1054/√25)
C.I = - 0.0698 ± 0.0361
C.I = (-0.1059 ; - 0.0337)
No more than one state of nature can occur at a given time for a chance event. This indicates that the states of nature are defined such that they are
a. conservative events.
b. mutually exclusive.
c. independent outcomes.
d. collectively exhaustive.
Answer:
b. mutually exclusive.
Step-by-step explanation:
The given description is an illustration of mutually exclusive events.
Take for instance, when you roll a die;
It is impossible to have an outcome of 2 and 6 at the same time; these means that 2 and 6 are mutually exclusive.
In a nutshell, when two or more sates of events/states of nature can not happen at the same time; such events/states of nature are mutually exclusive.
How many ways are there to assign four jobs to 7 employees if no employee can be given more than one job
Answer:
35ways
Step-by-step explanation:
Given the following
Total employees = 7employees
Number of tasks to be assigned = 4task
The number of ways this can be done is expressed as 7C4
7C4 = 7!/(7-4)!4!
7C4 = 7!/3!4!
7C4 = 7*6*5*4!/6*4!
7C4 = 35ways
Hence this can be done in 35ways
