Answers
Answer:
D)x=4,y=7Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASlet's solve:according to the question
[tex] \begin{cases}x + 29 = 7x + 5 \\ 8y - 35 =3y \end{cases}[/tex]
[tex] \begin{cases}x -7x= 5-29 \\ 8y - 3y=35 \end{cases}[/tex]
[tex] \begin{cases}-6x= -24\\ 5y=35 \end{cases}[/tex]
[tex] \begin{cases}\frac{-6x}{-6}=\frac{-24}{-6} \\ \frac{5y}{5}=\frac{35}{5} \end{cases}[/tex]
[tex] \therefore \begin{cases} x=4\\ y=7 \end{cases}[/tex]
Related Questions
If 78% of the total is 156 marks, find the total marks in the test
200
206
176
210
Answers
Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal.) The results were as follows:
Duration of Exposure
< 1 1 to < 5 >= 5
Diseased 12 10 18
Sensitized 14 18 13
Normal 66 142 210
Required:
a. Compute the expected frequencies of diseased workers.
b. Compute the expected frequencies of sensitized workers.
c. How many degrees of freedom are there?
Answers
Answer:
1. Has been answered below
2. Degree of freedom is 4
Step-by-step explanation:
Row 1: 12+10+18 = 40
Row 2: 14+18+13 = 45
Row 3: 66+142+210 = 418
Grand total = 40+45+418 = 503
Column 1 : 12+14+66 = 92
Column 2: 10+18+142 = 170
Column 3: 18+13+210 = 241
Total = 92+170+241 = 503
Expected frequencies of diseased workers
92x40/503 = 7.316
170x40/503 = 13.52
241 x 40/503 = 19.165
Expected frequencies of sensitized workers
92x45/503 = 8.23
170x45/503 = 15.20
241x 45/503 = 21.56
2.
Degree of freedom
= (Number of row -1)(number of column - 1)
= 3-1 * 3-1
= 2x2
= 4
Aretha had 9 pencils. She gave her
sister 1/3 of the pencils. How many
pencils did Aretha give her sister?
Answers
Answer:
3
Step-by-step explanation:
9 divided by 3 is 3
Which of the following is a statistical question? A. How many girls named Jennifer are there in the class? B. What is the age of students in Ron's school? C. How many artifacts are there in the museum? D. What is the capital of Texas?
Answers
Answer:
bbbb
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It may vary
Find the lengths of the missing side. Round your answer to the nearest tenth
Answers
Answer:
11.2 cm
Step-by-step explanation:
The missing side = the hypotenuse
Apply pythagorean theorem to find he hypotenuse which is given as:
c² = a² + b³
a = 10 cm
b = 5 cm
c = Hypotenuse (missing side)
(Hypotenuse)² = 10² + 5² = 125
Hypotenuse = √125
Hypotenuse = 11.1803399 ≈ 11.2 cm (nearest tenth)
Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit. The production group believes that the mean weight has changed. They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces. What conclusion can we make from the appropriate hypothesis test at the .01 level of significance
Answers
Answer:
We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.
Step-by-step explanation:
Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.
This means that the null hypothesis is: [tex]H_0: \mu = 12[/tex]
The production group believes that the mean weight has changed.
This means that the alternate hypothesis is:
[tex]H_a: \mu \neq 12[/tex]
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]
They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.
This means, respectibely, that [tex]n = 15, X = 12.05, \sigma = 0.08[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}[/tex]
[tex]z = 2.42[/tex]
Pvalue of the test:
We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.
Looking at the z-table, z = 2.42 has a pvalue of 0.9922
1 - 0.9922 = 0.0078
2*0.0078 = 0.0156
What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?
0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.
Help... need it right now ;-;
Answers
Answer:
1
Step-by-step explanation:
|3 + 2 - 6| = |5 - 6| = |-1| = 1
Answer:
1
Step-by-step explanation:
Hello There!
For this one, like the other one, all we have to do is plug in the values
so
l 3 - (-2) + (-6) l
3 - (-2)
the two negative signs cancels out so now its
3+2 which is equal to 5
5-6=-1
l-1l remember l l means absolute value and the absolute value of -1 is 1 so the answer is 1
Can someone please help me?
Answers
I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!
Answer:
Step-by-step explanation:
Volume of a cylinder formula = πr^2h
r (radius) = 5/2 = 2.5
h (height) = 3
Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units
35% of students enrolled in collage are freshmen. if the total enrollment of the collage is 2800, how many of the students are freshmen?
Answers
Answer:
980 students are freshmen.
Step-by-step explanation:
2800*.35=980
Laura wants to learn more about her new high school. Which of the following is a statistical question Laura could ask?
A. What is the address of the school
B. Who is the principal
C. How old are the students at the school
D. Does the high-school have a jazz band
Answers
Answer:
D.
Step-by-step explanation:
There is no explanation
Meggie starts with 100$ in her account.she wants to deposit 5$ per week . write an equation in slope intercept form to represent this situation
Answers
Answer:
y = 5x + 100
Step-by-step explanation:
the ages of six boys are given as 12 years 3 months, 18 years, 13 years 7 months, 17 years 2 months 15 years and 14 years respectively. what is their average age?
Answers
Answer:
15 years (180 months)
Step-by-step explanation:
turn it into months first
147
216
163
206
180
168
add them together, then divide by how many there are
1,080/6=180 months
180/12 =15
I need help ASAP I’m confused with this problem
Answers
Answer:
I believe it's A
Step-by-step explanation:
not sure but
If the temperature was -24 degrees yesterday. If the temperature is 5 degrees now. What was the temperature change
Answers
Answer:
The temperature went up by 29 degrees.
Step-by-step explanation:
Since -24 is negative,
Add 5 to 24 = 29.
Sarah is solving for X by the process of completing the square for the following problem..
2x^2+16x-12=0
She got to this point below - type the number that goes in the (?) spot
(x+?)^2=22
Answers
Answer:4
Step-by-step explanation: Since she did it by completing the square, then you must do the same thing to get the same form so you can see what that number is.
So first subtract the constant which is -12 so we need to add twelve to get the constant on the other side. So we now have 2x^2+16x=12
The constant of the x^2 must be 1 so we need to divide by 2 on every term to get x^2+8x=12
So to make it so to get a perfect factor we need to divide the x factor by 2 so we get 4.
So the answer is 4 cause it is a perfect factor so were going to get 4 on both factors.
Answer:
4
Step-by-step explanation:
x²+2(x)(?)+?²=22
multiply by 2 because the coefficient of the higher degree in the first equation is 2
2x²+2(2(x)(?))+2(?²)-2(22)=0
2x²+4x(?)+2?²-44=0
Comparison
4x(?)=16x
?=4
2?²-44=-12
So, 2?²=-12+44
2?²=32
?²=16
?=4
what is the value of angle x?
Answers
Answer:
x=66
Step-by-step explanation:
Hello There!
∠BAC ≅ ∠CDB because in a parallelogram opposite angles are congruent
So all we have to do is solver for ∠BAC
Remember the sum of the triangles angles is 180 so to find ∠BAC
we subtract the given angles (83 and 31) from 180
180-83-31=66
so ∠BAC = 66
like stated before
∠BAC≅∠BDC so if ∠BAC = 66 then x also equals 66
Answer:
x = 66
Step-by-step explanation:
x = 66 degree
Priya rewrites the expression 8y−24 as 8(y−3). Han rewrites 8y−24 as 2(4y−12). Are Priya's and Han's expressions each equivalent to 8y−24? Explain your reasoning
Answers
Answer:
sdfsefsesfsfsefsefsefsefsfsefesef
Step-by-step explanation:
Steven paid $60 for 3 cardio dance workout classes. He’s trying to set up an equation to help him find the cost of each class. What should Steven put in the blank of the following equation? c=$___÷3?
Answers
Answer:
c=$60/3. $20 dollars per class.
Step-by-step explanation:
What is the area of the trapezoid shown below?
Answers
Answer: where is the trapezoid
Step-by-step explanation:
Pls help. Im so lost.
Answers
Answer:
x = 35 degrees
Step-by-step explanation:
supplementary angles = 180 degrees
m<A + m<B = 180
(2x - 5) + 3x = 180
5x - 5 = 180
5x = 175
x = 35
PLEASE JUST HELP ITS ACTUALLY AN EMERGENCY I WILL GIVE 3K ON BLOXBURG FOR THIS
Answers
cut off the topright rectangle so there are 2 rectangles.
That will make it look like this
2x3=6
+
5x3=15
=
21
The area of that shape would be 21 square feet
21 square ft
u got 3K i only got 1K cuz i be spending it on my house and emotes and food ;-;
factor g(x) =6x^3 +13x^2 -2x -1 if (2x + 3) is a factor.
Answers
15 less than 3 times a number is 5 more than half of the number.
Answers
Answer:
Mystery Number is 8
Step-by-step explanation:
3x - 15 = 5 + 1/2x
3x - 1/2x = 15 + 5
5/2x = 20
x = 20 / 5/2
x = 20 * 2/5
x = 40 / 5
x = 8
Tara and Mallory are practicing their passing at a volleyball practice. Tara bumps the ball from a height of 3 feet above the ground with an initial upward velocity of 12 feet/second. at the same time, mallory serves the ball from a height of 3.25 feet above the ground with an initial upward velocity of 9 feet/second.
if x represents the number of seconds since each ball is passed and y represents the height of the ball, which system of equations models the projectile motion of the two balls? recall that the acceleration due to gravity is -32 feet/second
Answers
Answer:
The system of equation that models the projectile of the two balls is option;
C. y = -16·x² + 12·x + 3
y = -16·x² + 9·x + 3.25
Step-by-step explanation:
The general equation for vertical (upward) motion under gravity is presented as follows;
h - h₀ = u·t + 1/2·g·t²
Where;
h = The final height reached
h₀ = The initial height
u = The initial velocity
g = The acceleration due to gravity ≈ -32 feet/second
t = The time taken
We can rewrite the above equation with different letters for the variables as follows;
h = y,
h₀ = y₀, and
t = x
Therefore, we have;
y - y₀ = u·x - 1/2 × 32 × x²
y = u·x - 1/2 × 32 × x² + y₀ = u·x - 16· x² + y₀
y = u·x - 16· x² + y₀ = -16·x² + u·x + y₀
y = -16·x² + u·x + y₀
For Tara, we have;
u = 12 feet/second
y₀ = 3 feet
Therefore, we get;
y = -16·x² + 12·x + 3
For Mallory, we have;
u = 9 feet/second
y₀ = 3.25 feet
Therefore, we get;
y = -16·x² + 9·x + 3.25
The correct option is therefore;
y = -16·x² + 12·x + 3
y = -16·x² + 9·x + 3.25
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 1 of 2: Suppose a sample of 2346 floppy disks is drawn. Of these disks, 1971 were not defective. Using the data, estimate the proportion of disks which are defective. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answers
Answer:
The proportion of disks which are defective is 0.16.
Step-by-step explanation:
The proportion of defective disks is the number of defective disks in the sample divided by the size of the sample.
In this question:
2346 disks.
1971 not defective, so 2346 - 1971 = 375 defective.
[tex]p = \frac{375}{2346} = 0.16[/tex]
The proportion of disks which are defective is 0.16.
What decimal is equivalent to 8/40?
Answers
Answer:
0.20
Step-by-step explanation:
8 divided by 40 equals 0.2
0.20 is the decimal is equivalent to 8/40.
What is decimal?A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.
Given:
Fraction = 8/40
Now, simplifying the given fraction
8/40
= 8/( 8x 5)
= 1/5
=0.20
Hence, 0.20 is the decimal is equivalent to 8/40.
Learn more about decimal here:
https://brainly.com/question/109147
#SPJ2
Are congruent triangles also similar?
Answers
Answer: yes they are
Step-by-step explanation:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal.
Answer:
Yes
Step-by-step explanation:
While congruent triangles are similar, similar triangles may not be congruent.
I WILL GIVE BRAINLIEST !!!What is the product of 4 and 7?
7
O
o
8 9
14
9
14
7
8
Answers
When someone says the product of x means they are looking to multiply!
Answer:
8? I think I'm not quite sure. lmk
How much times does it take to put 0.3 into 5.7 whoever answers first and the most accurate gets brainliest
Answers
Answer:
what is the answer to this
Two optometrists (eye doctors) each compiled data from 10 different random samples. The table contains their respective data sets.
Doctor A Doctor B
Corrective Lenses Glasses Contacts Corrective Lenses Glasses Contacts
745 643 102 763 651 112
726 634 92 736 625 111
769 670 99 735 622 113
765 658 107 759 624 135
756 636 120 748 631 117
742 624 118 756 621 135
757 641 116 765 653 112
748 655 93 761 647 114
770 649 121 768 646 122
738 629 109 761 646 115
Part A
Are there any noticeable outliers in either of the data sets? What does this mean about the best measures to use for center and variability?
Step-by-step explanation:
the answer is 19
Step-by-step explanation:
5.7/0.3=19
Explain the difference between a percent and a unit rate.
Answers
Answer:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation: