Answer:
• The x-variable will be eliminated when adding the system of equations.
• The sum of the system of equations is 4y = -12
Step-by-step explanation:
2x - 7y = -13
-2x + 11y = 1
---------------------
Adding the equations
4y = -12
y = -3
x = -17
-----------------------
• The x-variable will be eliminated when adding the system of equations.
• The sum of the system of equations is 4y = -12
Answer:
The correct answer is A and C
Step-by-step explanation:
I took the test and got 100%
Please help!!
find the value of the trig ratio.
So with sine cosine and tangent, try remembering the following:
Sin : Opposite / Hypotenuse
Cos: Adjacent / Hypotenuse
Tan: Opposite / Adjacent
Or just remember "Soh-cah-toa".
Thinking Process:Anyways, with this, its asking for the sine ratio of angle Z. So we need the opposite side length and the hypotenuse side length
For the opposite side length, look to see where the angle is "opening" up towards, like a door that is opening. With this, Angle Z is opening up towards the Side XY, which has a length of 21.
To find the hypotenuse, it is always the largest side length of a right triangle. It is also where the right angle opens up it's "door" up to. This would be Side XZ, which has a length of 29.
Answer:With both of these, back to the ratio formula:
Sin : Opposite / Hypotenuse
To finish the question, simply plug in the values that were found above.
This will give you:
Sin Z : 21 / 29
This will be Choice A.
Find the unit price for both quantities: 5 gallons of enamel paint for $62.00 and 8 gallons for $83.00
Answer:
Unit 1= $12.4 per gallon
Unit 2= $10.375 per gallon
Step-by-step explanation:
Given
[tex]Quantity\ 1= 5\ gallons[/tex]
[tex]Price = \$62.00[/tex]
[tex]Quantity\ 2= 8\ gallons[/tex]
[tex]Price =\$83.00[/tex]
Required
The unit price
The unit price is calculated as:
[tex]Unit = \frac{Price}{Quantity}[/tex]
So, we have:
[tex]Unit\ 1= \frac{Price \ 1}{Quantity\ 1}[/tex]
[tex]Unit\ 1= \frac{\$62.00}{5\ gallons}[/tex]
Unit 1= $12.4 per gallon
[tex]Unit\ 2= \frac{Price \ 2}{Quantity\ 2}[/tex]
[tex]Unit\ 2= \frac{\$83.00}{8}[/tex]
Unit 2= $10.375 per gallon
A nutritionist wants to estimate the average caloric content of the burritos at a popular restaurant. They obtain a random sample of 16 burritos and measure their caloric content. The sample mean and sample standard deviation of measured caloric contents of the 16 burritos are 700 calories and 50 calories, respectively. Suppose the caloric content of burritos is normally distributed. Based on the sample, which of the following is a 95% upper confidence bound for the mean caloric content of these burritos?
A. μ≤700+ t 0.05, 15x50/4
B. μ≤700+ t 0.025, 16x50/4
C. μ≤700+ t 0.025, 15x50/4
D. μ≤700+ z 0.05 x50/4
Answer:
[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex], option c
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 16 - 1 = 15
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and an [tex]\alpha[/tex] level of [tex]\frac{1 - 0.95}{2} = 0.025[/tex], thus, we have [tex]t_{(0.025,15)}[/tex]
The margin of error is of:
[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have [tex]s = 50,n = 16[/tex]. So
[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]
[tex]M = t_{(0.025,15)}\frac{50}{\sqrt{16}}[/tex]
[tex]M = t_{(0.025,15)}\frac{50}{4}[/tex]
Upper bound:
The upper bound is less than the sample mean of 700 added to the margin of error of M. Thus
[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex]
And the correct answer is given by option c.
What kind of property is used in the following example?
3 x 7 = 7 x 3
Identity Property
Associative Property
Distributive property
Commutative Property
solve the system by substitution -4x+3y=-2 y=x-1
Answer:
Substitute y=x-1 for y in the first equation to get -4x+3(x-1)=-2
-4x+3x-3=-2
-x-3=-2
-x=1
x=-1
Step-by-step explanation:
Answer:
x = -1
y = -2
Step-by-step explanation:
If you look at the second equation, y is already isolated for us:
y = x - 1
so all we need to do is plug in the value for y into the first equation:
-4x + 3(x - 1) = -2
Next all we do is algebra:
[distribute] -4x + 3x - 3 = -2
[condense] -1x - 3 = -2
[add] -1x = 1
[divide] x = -1
Now that we have the value of x, we can use it to find y by plugging it in to either equation.
y = x - 1
[plug in] y = -1 - 1
[condense] y = -2
Answers: x = -1, y = -2
Which graph represents the PARENT function of y = x^2+ 3
Answer:
A is the correct graph of the parent function y=x^2
Step-by-step explanation:
While D is the graph of y=x^2+3, it is asking for the parent function. The parent function would be y=x^2 where no transformations have occurred, making A the correct graph
if 10 bags of ice cost $12, how much does 1 bag cost
Answer:
1.20
Step-by-step explanation:
[tex] 12 \div 10 = 1.20[/tex]
Which of the following is not true Categorical data are also referred to as nominal or qualitative data. Numerical data can be either discrete or continuous. Categorical data have values that are described by words rather than numbers. All listed statements are true The number of checks processed at a bank in a day is categorical data.
Answer:
The number of checks processed at a bank in a day is categorical data.
Step-by-step explanation:
In Mathematics, a categorical data can be defined as a statistical data type that is used to group informations having the same attributes or characteristics. Some examples of a categorical data are age, gender, race, religion etc.
A numerical data can be defined as a data set that is expressed in numbers only or a data set consisting of numbers rather than words. A numerical data is also known as a quantitative data.
Basically, numerical data are classified into two (2) main categories and these are;
1. Discrete data: a discrete data is a data set in which the number of possible values are either finite or countable. For instance, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.
2. Continuous data: a continuous data is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous data.
Hence, the number of checks processed at a bank in a day is discrete data.
Find the solutions to x² = 20.
Answer:
x = 4.47 or 2√5
Step-by-step explanation:
x² = 20
x = √20 = 4.47 or 2√5
Answer:
x = 2√5 or 4.472135955
Which equation represents a linear function x=-5, y=3x4+7, x2-1=y, y=15x+10
Answer:
y=15x+10
Step-by-step explanation:
This equation is in slope-intercept form (y=mx+b) which signifies a linear function. Also, linear functions include x to the first degree and no larger. Anything larger than that would be a polynomial.
It is not x=-5 because that would be a straight vertical line.
It is not the second or third equations because x is being raised to the 4th and 2nd powers resulting in polynomial functions.
Choose 1 answer
A 4/9 of 3/4
B 4/12 of 5/12
C 1/3 of 9/12
Write in standard form: 30,000.000 + 40,000 + 6,000 + 20 + 2
Answer:
[tex]3.0046022*10^{7} \\[/tex]
Step-by-step explanation:
30,046,022 = [tex]3.0046022*10^{7} \\[/tex]
Jordan estimated that his paper airplane would fly 42 feet. It actually traveled 50 feet. What was the percent error?
[tex] \huge \mathcal{ Answer࿐}[/tex]
Error (e) = 50 - 42 = 8 feetassumed value (a) = 42 feet[tex] \boxed{ \mathrm{ \% \: error = \dfrac{error}{assumed \: value} \times 100}}[/tex]
[tex] \mathrm{ \% \: error =\dfrac{8}{42}} \times 100[/tex][tex] \mathrm{ \% \: error = \dfrac{800}{42} }[/tex][tex]\mathrm{ \% \: error = 19.04 \%}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Solve the triangle. Round decimal answers to the nearest tenth.
Answer:
51
Step-by-step explanation:
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups, and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Draw a conclusion and interpret the decision.
A. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
B. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
C.We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
D. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
Answer:Sorry i have no time to read it all bro
Step-by-step explanation:
Write the equation of the line passing through the given points.
Answer:
a) y=4x-12
b) 4x-y=12
Step-by-step explanation:
1) Solve for slope: y2-y1/x2-x1: (8-0)/(5-3)=4
2) plug into y=mx+b and solve for b, y=4x+b: 0=4(3)+b, b=-12
3) rearrange into ax+by=c form
This Venn diagram has three regions.
In which region does any rectangle belong?
A
B
C
A Venn diagram that has Region A labeled 4 sides the same length, Region C labeled 4 right angles, and Region B which is the overlap of regions A and C.
Write a problem that can be answered using the line plot
Answer:
I cant see anything. . . i dont know if you posted a picture but i didnt get it. . . btw IF SOMEONE SAYS THE EXPLANATION IS IN THIS LINK DO NOT CLICK IT!!!! IT IS A VIRUS. . . I TESTED IT ON MY TEST PC AND IT GAVE ME A VIRUS!!! AGAIN IF ANYBODY GIVES YOU A LINK DO NOT PRESS IT. that being said please tell me the question and i will give you the answer :)
Step-by-step explanation:
In a store 8/300 of the shirts are yellow and 86/600 Are orange what percent of the shirts are not yellow or orange
Answer:
83%
Step-by-step explanation:
8/300 = 16/600
86 + 16 = 102
that leaves 498 that are not yellow or orange
so, 498/600 = 0.83 or 83%
Jason baked 7 pans of brownies. He gave ¼ of the brownies to his two sisters. How many pans of brownies did he give to his sisters? *
Step-by-step explanation:
7×1/4 = 1.75
1.75 ÷ 2 = 0.875 pans each
ILL GIVE BRAINLIEST
YOUR FRIEND JUST OPENED THEIR FIRST CREDIT CARD WHAT ADVICE WOULD YOU GIVE THEM BEFORE THEY START MAKING PURCHASES?
Answer:
I would tell them to buy a ps5 for me
Step-by-step explanation:
For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.
dele took 25 minutes to walk to school and he arrived at exactly 8:00am, at what time did he leave his home
Answer:
Dele ;left home at exactly 7:35
Step-by-step explanation:
hope this helps
URGENT NEED HELP FAST LINKS WILL BE REPORTED
Answer:
Model B
Step-by-step explanation:
First, solve what each model means:
Model A:
6 boxes, 2 shaded
2/6=1/3
1/3 is approximately 33.35
Model B:
8 boxes, 3 shaded
3/8 is 37.5%
this is the answer, but we can go ahead and check the other boxes
Model C:
5 boxes, 2 shaded
2/5 is 40%
Model D:
7 boxes, 3 shaded
3/7 is approximately 42.9%
Lmk if you have more questions!
Click on the measure of angle s.
38°
) 152
142
38
52
Answer:
here,
38+X=180 (being straight line)
or,X=180-38
therefore, X=142 ans,,,
Is this right? If not, what is it? PLEASE
Answer:
It is correct.
Step-by-step explanation:
If a statue made from 1000 cm^3 of bronze has a mass of 8.7kg. what is the mass of a statue made from 4500cm^3 of bronze?
Answer:
screenshot
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZ
Question #7
Jerry is creating a comer shelf for his house. Examine his sketch below.
8.5 in.
8.5 in.
Enter the area of the corner shelf, in square inches. Round your answer to the
nearest tenth.
Answer:
The area is 56.7 square inches
Step-by-step explanation:
Given
See attachment for corner shelf
Required
The area
The corner shelf is a quadrant with radius;
[tex]r = 8.5in[/tex]
The area of a quadrant is:
[tex]Area = \frac{\pi r^2}{4}[/tex]
So, the area of the corner shelf is:
[tex]Area = \frac{\pi * 8.5^2}{4}[/tex]
[tex]Area = \frac{\pi * 72.25}{4}[/tex]
[tex]Area = \pi * 18.0625[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]Area = 3.14 * 18.0625[/tex]
[tex]Area = 56.7[/tex] -- approximated
In a certain Algebra 2 class of 27 students, 5 of them play basketball and 12 of them play baseball. There are 2 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answer:
[tex]p= \frac{22}{27} =0.814 = 81.4%[/tex]
Step-by-step explanation:
========================================================
Explanation:
A = number of people who play basketball onlyB = number of people who play baseball onlyC = number of people who play both sports5 play basketball, 2 play both, which means 5-2 = 3 play basketball only. So A = 3.
12 play baseball, 2 play both, which means 12-2 = 10 play baseball only. So we have B = 10.
We have A+B+C = 3+10+2 = 15 people who play one sport, or the other, or both. This is out of 27 total. So that's what leads us to the answer 15/27.
Which functions graph has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed
Answer: y= -4cos (pi/4x)-3
Step-by-step explanation:
The functions graph that has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed is; y = -4cos(¹/₄πx) - 3
What is the equation of the graph?
The general equation of this is;
y = A cos bx
We are told that the period of the graph is 8
We know that 2π/b = period
Thus;
2π/b = 8
b = ¹/₄π
We are told that the maximum height is 1 if at least one full period is graphed. Thus, amplitude = 4
Thus the required equation is y = -4cos(¹/₄πx) - 3
Read more about period of graph at; https://brainly.com/question/10700288
PQ is the perpendicular bisector of MN what is QN?
PN = PM
6x + 1 = 10x - 17
Add both sides 17
6x + 1 + 17 = 10x - 17 + 17
6x + 18 = 10x
Subtract both sides 6x
6x - 6x + 18 = 10x - 6x
18 = 4x
Divide both sides by 4
18 ÷ 4 = 4x ÷ 4
9/2 = x
x = 9/2
___________________________
QN = 2x + 5
QN = 2 × ( 9/2 ) + 5
QN = 9 + 5
QN = 14