Answer: x = -5, y = 4
Step-by-step explanation:
Align the two equations according to their terms:
[tex]\left \{ {{-3x-3y = 3} \atop {3x+6y = 9}} \right.[/tex]
Add the two equations. Because -3x and 3x equals zero, they can be eliminated from the equation. This results in:
[tex]3y = 12\\y = 4[/tex]
Plug in y = 4 into the first equation:
[tex]-3x - 3(4) = 3\\[/tex]
Solve for x:
[tex]-3x-12 = 3\\-3x = 15\\x = -5[/tex]
Check by plugging in both x and y:
[tex]-3(-5) - 3(4) = 3\\15 - 12 = 3\\3 = 3[/tex]
So, x = -5 and y = 4
In a survey of 1,000 women aged 22 to 35 who work full time, 545 indicated that they would be willing to give up some personal time in order to make more money. The sample was selected in a way that was designed to produce a sample that was representative of women in the targeted age group.
a. Do the sample data provide convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money? Test the relevant hypotheses using α = .01.
b. Would it be reasonable to generalize the conclusion from Part (a) to all working women? Explain why or why not.
Answer:
Yes, there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.
No ;
Step-by-step explanation:
n = 1000
x = 545
Phat = x / n = 545/1000 = 0.545
H0: p ≤ 0.5
H1: μ > 0.5
The test statistic :
(phat - p0) ÷ √(p(1 - P0) / n)
Test statistic :
(0.545 - 0.5) ÷ √(0.5(0.5) / 1000)
0.045 / 0.0158113
Test statistic = 2.846
α = 0.01
Decison :
Reject H0 ; if Pvalue < α
Using the Pvalue from Test statistic (Z) calculator :
Pvalue = 0.002214
With Pvalue < α ; We reject H0 and conclude that there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.
No, making generalization about all women would not be reasonable as the data employed for the research mainly focuses on a particular
Idil owns a small business selling clothing. She knows that in the last week 3
customers paid cash, 25 customers used a debit card, and 53 customers used a credit
card.
with
Based on these results, express the probability that the next customer will pay
cash or a credit card as a percent to the nearest whole number.
The probability that the next customer will pay cash or a credit card is 56%, since 3 customers paid cash and 53 customers used a credit card out of a total of 81 customers.
What is customers?Customers are individuals or organizations who purchase goods and services from a business. They play an important role in a company's success as they provide the revenue needed to sustain and grow the business. Customers become loyal to a business when they are provided with quality products, excellent customer service, and competitive prices. Companies that focus on customer satisfaction often develop long-term relationships with their customers, as they understand the importance of customer loyalty. Companies must strive to continually meet the changing needs of their customers in order to remain successful in the long term.
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elijah used 3/4 of the memory on his cell phone memory card if the memory card can hold 32 gigabytes how many gigabytes did elijah used
Elijah used 24 gigabytes memory on his cell.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Elijah used 3/4 of the memory on his cell phone memory card.
And, The memory card can hold 32 gigabytes.
Now,
Since, The memory card can hold 32 gigabytes.
And, She used 3/4 of the memory on his cell phone memory card.
Hence. The used memory = 3/4 of 32
= 3/4 × 32
= 3 × 8
= 24 gigabytes
Thus, Elijah used 24 gigabytes memory on his cell.
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If you can help me with these four questions I'll give you brainliest :))
Answer:
13. The mode is 265
14. The range is 42
15. The median is 250
16. The mean is 249
What would y be? If x is 9 m
please help me this is. big
Answer:
C. = 69.5
Step-by-step explanation:
The median or the average between 80 and 59 is 69.5
Hope this helps! :)
Mark's school is 5 kilometers away from his home. There are about 0.62 miles in 1 kilometer. About how many miles is Mark’s school from his home?
Answer:
3.1 miles
Step-by-step explanation:
(5 km)(0.62 mi/km) = 3.1 miles
this is a unit test right answers only pls
Answer:
d
Step-by-step explanation:
took da test
Pls answer will mark brainliest! Ashlyn is having new hardwood flooring installed at the living room kitchen and dining room if the flooring cost $4.25 per square foot, how much will she spend?
Answer:
$580.13Step-by-step explanation:
The area of the flooring:
A = 1/2*8*(13.5 - 7.5) + 1/2(8 + 4 + 18)(7.5) = 136.5 ft²Cost of flooring:
136.5*$4.25 = $580.13A truck driver drives at an average rate of 43 miles per hour.
At this rate, how many miles will he drive in 11 hours?
A: 473 miles
B: 54 miles
C: 483 miles
D: 55 miles
help pls with the question
Answer:
fart
Step-by-step explanation:
4. There are 36 units in a case. You have 90 loose units of stock in the store. The store manager has requested a stock count in CASES. How many cases of stock will 90 units fill? CALCULATION:
There are 36 pieces in one case. The store has 90 loose storage units. The store manager requested an inventory count where 2.5 units would fill her 90 units.
What is the inventory process like?Typically, this process involves the retailer (or team of employees) walking through the retailer's warehouse and storefront, counting each item. Information is captured manually using pen and paper or electronically using a mobile device.
Create a storage location map showing each shelf, bin, drawer, receiving dock, and return area. Place geographic divisions, not product lines, between each storage area. Let's start counting! After each counter completes a certain range, allow a manager or someone else to check the count.
90/36 = 2.5
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Maya is solving the equation 2(1+7x)=72. She lists an explanation for each step as shown. Which is the missing explanation for Maya's first step after writing the given equation?
Answer:
apply the distrbutive property
Step-by-step explanation:
...........................
What is 1653.78367 to the nearest ten square meter? Please help
Answer: 1653.8
Step-by-step explanation: Find the number in the tenth place 7 and look one place to the right for the rounding digit 8 . Round up if this number is greater than or equal to 5 and round down if it is less than 5.
Mr Paul has 4 bars of chocolate. He distributes 1/3
of each bar to 4 children.
a) Write the fraction of chocolate distributed.
b) Write the fraction of cholates left with Mr. Paul
a) The fraction of chocolate distributed is given as follows: 4/3.
b) The fraction of chocolates left with Paul is given as follows: 8/3.
How to obtain the fractions?The fractions are obtained applying the proportions used in the context of this problem.
He distributes 1/3 of each bar to 4 children, hence the total number of bars distributed is given as follows:
4 x 1/3 = 4/3.
(multiplication of fractions, multiply the numerators and the denominators, keeping the quotient).
The total number of bars that Paul had initially is given as follows:
4 bars.
Then the fraction of chocolate remaining with Paul is given by the subtraction of the total amount of bars by the amount given to the children, as follows:
4 - 4/3 = 12/3 - 4/3 = 8/3 bars.
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Which model can be used to represent
the number below?
Answer:
0.7
Step-by-step explanation:
In the sample compound interest rate tables presented in your reading material, the first column on the left-hand side of each table shows you the __________. a. 1% rate, b. principal, c. number of periods, d. maturity values
In the sample compound interest rate tables presented in your reading material, the first column on the left-hand side of each table shows you the number of periods. Option C
What is the compound interest?When interest is computed, it is done so on the initial principal as well as all of the accrued interest from prior periods.
The ability of compound interest is defined as producing "interest on interest."
Any frequency schedule, including continuous, daily, and yearly, can be used to compound interest.
Money increases more quickly when compounded.
Formula is given as :
[tex]A = P(1 + \frac{r}{n})^n^t[/tex]
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Edgar accumulated $9,000 in credit card debt. If the interest rate is 30% per year and he does not make any
payments for 2 years, how much will he owe on this debt in 2 years by compounding continuously?
Answer:
$16399.06Step-by-step explanation:
Given
Debt amount P = $9000Interest rate r = 30% = 0.3Time t = 2 yearsCompound number = continuousUse formula
A = Pe^(rt)A = 9000*e^(0.3*2) = $16399.06The following table shows the coordinates for a triangle and the coordinates for its image. The triangle is mapped
onto its image by a dilation. Draw the triangle and its image on a coordinate plane.
Pls help! Thanks
Answer:
Th (0,0)
the centre of dialation
What is the area of a circle with a diameter of 14 meters? Leave the answer in terms of π.
49π square meters
7π square meters
196π square meters
14π square meters
Therefore , the solution of the given problem of circle comes out to be Area = 154 meter square or 49π meter square option 1 is correct.
Circle – what is it?A moving point on a plane is followed so that its distance from a specific point remains constant to produce the circular form known as a circle. The English term circle derives from the Greek word kirkos, which meaning hoop or ring. Area of circle= πr²
Here,
Given :
Diameter of circle : 14
Radius =14/2 = 7 meters
and
Using formula
Area= πr²
=> Area = π7²
=>Area = 22/7 * 7²
=> Area = 22*7
=> Area = 154 meter square or 49π meter square
Therefore , the solution of the given problem of circle comes out to be Area = 154 meter square or 49π meter square option 1 is correct.
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Answer: A the first one 49π square meters
the sum of three numbers is 124. the third number is 4 times the first. the second number is 10 more than the first what are the numbers
Answer:
19,29,76
Step-by-step explanation:
x=first number
x+10=second number
4x=third number
add three numbers to equal 124.
x+(x+10)+4x=124
6x=114
x=19 first number
x+10 0r
19+10=29 second number
4x or
4(19)=76 third number
19+29+76=124
124=124
Johnny bought 8 toy cars. The cars came in p packages. Write an expression that shows how many toy cars were in each package.
Answer:
p=8+x
Step-by-step explanation:
For every boy taking classes at the music school, there are 3 girls who are taking classes at the school. If there are 128 students taking classes, write and solve a proportion to predict the number of girls taking classes at the school.
Answer:
96
Step-by-step explanation:
Find the exact value of x.
Answer:
[tex]x = 4 \sqrt{3} [/tex]
Step-by-step explanation:
[tex] \frac{8}{2} = 4 \\ 4 \times \sqrt{3} = 4 \sqrt{3} [/tex]
SOMEONE HELP
Find sinD, sinE, cosD, and cosE. Write each answer as a fraction in simplest form.
Answer:
Step-by-step explanation:
sinD = opposite/hypotenuse = 12/15 = 4/5
cosD = adjacent/ hypotenuse = 9/15 = 3/5
sinE = opposite/hypotenuse = 9/15 = 3/5
cosE = adjacent/ hypotenuse = 12/15 = 4/5
Is a function that can be graphed
as a solid line discrete or continuous?
Linear function Is a function that can be graphed as a solid line discrete or continuous
What is a linear function?Linear functions are simply known as functions whose graph is a straight line.
They have one dependent variable and one independent variable.
These functions have either one or two variables without exponents.
Continuous graphs are used to represent functions that are continuous along their entire or whole domain.
Whereas, discrete graphs are used to represent values at specific points along the number line from different directions.
Types of the linear function;
Direct variationslope-intercept formstandard formpoint-slope formHence, it is a linear function
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HELP!
Will give branliest
Answer:
maybe 10
if this is wrong then sorry
I need to evaluate the limit and I also need to show the work for it. Please help me out if you can.
Answer:
-6
Step-by-step explanation:
You can solve all math problems via Photo math application, you can download it from the store for free, it is easy to write the question via the camera and quickly display the final result with the solution steps.
What is the value of x?
Answer:
23
Step-by-step explanation:
The given two triangles are congruent , by SSS congruence condition , therefore the corresponding sides will be equal .
=> x - 4 = 19
=> x = 19 + 4
=> x = 23
The graph of the function y = f(x + 26) can be obtained from the graph of
y = = f(x) by one of the following actions:
Answer:
left 26 units
Step-by-step explanation:
inside the parentheses means left or right, and it also means opposite direction.
Answer:
this question answer Iis left 26 units..