Step-by-step explanation:
the line is
20x - 17y = 15
I am not sure what your teacher uses as "standard form".
the works is split between "point-slope" and "slope-intercept" form as "standard".
I usually pick "slope-intercept" :
y = ax + b
with a being the slope and b being the y-intercept.
in any case, we can find the x-intercept without bringing the line equation to one of these forms.
because x-intercept simply means that y = 0.
and for y=0 the original equation is then
20x - 17×0 = 15
20x = 15
x = 15/20 = 3/4
A manager is comparing wait times for customers in a coffee shop based on which employee is
working at the register. He tracks the wait time for 100 customers when employee A is working
and 100 customers when employee B is working. The results are shown in the table.
Mean Wait Time Standard Deviation
Employee A
73 seconds
2 seconds
Employee B
74 seconds
4 seconds
Is there is a significant difference between the wait times for the two populations? Use a 0.05
significance level. Assume a one-tailed distribution to calculate your P-value. In this case,
assume that the sample standard deviation is equal to the population deviation.
Using the t-distribution, as we have the standard deviation for the sample, it is found that there is a significant difference between the wait times for the two populations.
What are the hypothesis tested?At the null hypothesis, we test if there is no difference, that is:
[tex]H_0: \mu_A - \mu_B = 0[/tex]
At the alternative hypothesis, it is tested if there is difference, that is:
[tex]H_1: \mu_A - \mu_B = 0[/tex]
What are the mean and the standard error of the distribution of differences?For each sample, we have that:
[tex]\mu_A = 73, s_A = \frac{2}{\sqrt{100}} = 0.2[/tex]
[tex]\mu_B = 74, s_B = \frac{4}{\sqrt{100}} = 0.4[/tex]
For the distribution of differences, we have that:
[tex]\overline{x} = \mu_A - \mu_B = 73 - 74 = -1[/tex]
[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.2^2 + 0.4^2} = 0.447[/tex]
What is the test statistic?It is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{-1 - 0}{0.447}[/tex]
[tex]t = -2.24[/tex]
What is the p-value and the decision?Considering a one-tailed test, as stated in the exercise, with 100 - 1 = 99 df, using a t-distribution calculator, the p-value is of 0.014.
Since the p-value is less than the significance level of 0.05, it is found that there is a significant difference between the wait times for the two populations.
More can be learned about the t-distribution at https://brainly.com/question/16313918
You start at (2, 4). You move up 6 units and left 1 unit. Where do you end?
Answer:
(1,10)
Step-by-step explanation:
2-1=1
4+6=10
Answer:
(1, 10).
When you pit on a graph, you are able to easily see that going up 6 and left 1 will put you at (1, 10).
Adah wants to buy a rug for a room that is 19 feet wide and 26 feet long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 330 square feet of carpeting. What dimensions should the rug have?
❎ No Spam
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :- Adah wants to buy a rug for room that is 19 feet wide and 26 feet long. She wants to leave a uniform strip of floor around the rug She can only afford to buy 330 sq. feet carpet. To Find :-We have to find the dimensions of the rug .Let's Begin :-Here, we have
The dimensions of Adah room that is 19 feet wide and 26 feet long.But,
She wants to leave a uniform strip of floor around the rug.Therefore,Let the width of the uniform strip of the floor be x
So, The new dimensions of the room will be
[tex]\sf{ (19 - 2x)\: \:and \: \: (26 - 2x)}[/tex]She can only afford to buy 330 sq.feetWe know that,
Area of rectangle
[tex]\bold{\red{ = Length} }{\bold{\red{\times{ Breath}}}}[/tex]
Subsitute the required values,
[tex]\sf{ ( 19 - 2x) }{\sf{\times{(26 - 2x) = 330}}}[/tex]
[tex]\sf{19(26 - 2x) }{\sf{\times{ - 2x (26 - 2x) = 330}}}[/tex]
[tex]\sf{ 494 - 38x - 52x + 4x^{2} = 330 }[/tex]
[tex]\sf{ 494 - 38x - 52x + 4x^{2} = 330 }[/tex]
[tex]\sf{ - 90x + 4x^{2} = 330 - 494 }[/tex]
[tex]\sf{ - 90x + 4x^{2} = - 164 }[/tex]
Arrange the given terms in general quadratic equation that ax² + bx + c = 0[tex]\sf{ 4x^{2} - 90x + 164 = 0 }[/tex]
[tex]\sf{ 4x^{2} - 82x - 8x + 164 = 0 }[/tex]
[tex]\sf{ 2x( 2x - 41 ) -4( 2x - 41 ) = 0 }[/tex]
[tex]\sf{ (2x - 4) ( 2x - 41) = 0}[/tex]
[tex]\sf{ x = 2 , x = }{\dfrac{41}{2}}[/tex]
We can only take only 1 value that is x = 2 because 41/2 will give negative result and dimensions of rectangle can never be negative. Therefore,Length of the rug
[tex]\sf{ (19 - 2x) = 19 - 2(2)}[/tex]
[tex]\sf{ = 19 - 4}[/tex]
[tex]\sf{ = 15\: feet}[/tex]
Breath of the rug
[tex]\sf{ (26 - 2x) = 19 - 2(2)}[/tex]
[tex]\sf{ = 26 - 4}[/tex]
[tex]\sf{ = 22\:feet}[/tex]
Hence, The dimensions of the rug are 15 feet and 22 feet.
The profit y on the number x of items a store sells is represented by the rule y = 2x - 1. What does a table of values for the function rule and the graph of the function look like?
Answer:
Attached is what the graph should look like
Step-by-step explanation:
Triangle ABC is given where m∠A = 33°, a = 15 in., and the height, h, is 9 in. How many distinct triangles can be made with the given measurements? Explain your answer.
Answer:
2 Triangles can be made with the given measurements
Step-by-step explanation:
Start by solving for side b
b = 9/sin33 = appr 16.5
9<15<16.5 there are two possible triangles
sin33/15 = sinB/16.5 = sinB=(16.5sin33)/15
B=36.9, 180-36.9=143.1 Next determine if the angles are correct
36.9+33=69.9 143.1+33=176.1 Both of these are less than 180, two triangles can be drawn.
Each piece of fruit weighs 3/5 pounds
Write how many pieces of fruit you need so the total weight, in pounds is within the giving range
Answer:Between 1 and 1 1/2 pounds. (_8__)
Between 2 and 2 1/2 pounds. (_1_)
a party has a ratio of men to women as 8:13.Two more men join, 5 women leave. The new ratio then becomes 7:10..find the original number of people in the party both men and women?
Answer:
revenge time
Step-by-step explanation:
Please answer!!!!!!!!!!!
Which model shows 1/3 of 6 shaded?
(if you answer ill give your brainliest:)<3)
Answer:
B.
Step-by-step explanation:
2 out of the 6 squares are shaded. 1/3 times 2 = 2/6
Hope that helps!
Answer:
[B]
Step-by-step explanation:
We can cross multiply to see which is equal
[A] 1 out of 6 is shaded [1/6]
1/6 < 1/3
[B] 2 out of 6 is shaded [2/6]
2/6 = 1/3
[C] 3 out of 6 is shaded [3/6]
3/6 > 1/3
[D] 4 out of 6 is shaded [4/6]
4/6 > 1/3
As you can see [B] is equal to 1/3
Thus, [B} is the answer.
~Learn with Lenvy~
Mona lisa lisa moans amd complains a lot about her drink
Answer:
Just get a new drink.
Get her the similar one or any drink of her choice.
Alberto's monthly income is $3,200.Part of Alberto's monthly budget is shown in the table. what percentage og Alberto's income is used to pay for his rent and groceries?
The percentage of Alberto's income that is used to pay for his rent and groceries is 40%.
How to calculate the percentageAmount for rent = $896
Amount for groceries = $384
Total amount = $1280
Therefore, the percentage of Alberto's income that is used to pay for his rent and groceries will be:
= 1280/3200 × 100
= 0.4 × 100
= 40%
Learn more about percentages on:
https://brainly.com/question/24304697
Answer
40% of Alberto's income is used to pay rent and goceries.
Step-by-step explanation:
1. Add his rent and goceries....
2. =$1280
3.Divide: 1280/3200
4.=0.4
5. 0.4x100
6. =40%
complete the following sentece ussing the correct term. 14 is a of 7 and 14
Chase plays the piano and the cello. For every 2 hours he practices the piano, he practices the cello for 3 hours. If he practiced the piano for 7 hours last week, how many hours did he spend practicing the cello?
Answer:
he spent practicing the cello 10.5 hours
Step-by-step explanation:
The proportion is 1.5 (3/2)
7x1.5 = 10.5
the height of a cone is 16 cm and its base radius is 12 cm. find the curved surface area and the total surface area of the cone
Answer:
A≈1206.37 cm²
Step-by-step explanation:
Radius = 12
Height = 16
Using the formulas
A= πrl+πr²
l = √r²+h²
A=πr(r + √h²+r²)=
π·12·(12+√16²+12²) ≈1206.37158cm²
Given :
The height of a cone is 16 cm.Its base radius is 12 cm.⠀
To Find :
The curved surface area of the cone. The total surface area of the cone.⠀
Solution :
h = 16 cmr = 12 cmHere,
h is denoted as height. r is denoted as radius.So, from l² = h² + r², we have :
⠀
The slang height of the cone is represented by l.⠀
[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {h}^{2} + {r}^{2} \: }cm }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {(16)}^{2} + {(12)}^{2} \: }cm }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 256 + 144 } \: cm }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 400} \: cm }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ \: \bf l = 20 \: cm }}[/tex]
⠀
So, Curved surface area = [tex] \pi{rl}[/tex]
[tex]{\qquad \sf \dashrightarrow \: 3.14 \times 12 \times 20 \: {cm}^{2} }
[/tex]
[tex]{\qquad \bf \dashrightarrow \: 753.6 \: {cm}^{2} }
[/tex]
⠀
Further, total surface area = [tex] \pi{rl} + \pi{ {r}^{2} }[/tex]
[tex]{\qquad \sf \dashrightarrow \: (753.6 + 3.14 \times 12 \times 12 )\: {cm}^{2} }[/tex]
[tex]{\qquad \sf \dashrightarrow \: (753.6 + 452.16 )\: {cm}^{2} }[/tex]
[tex]{\qquad \bf \dashrightarrow \: 1205.76 \: {cm}^{2} }[/tex]
Lines y and z are parallel. parallel lines are cut by transversals s and t. the angles formed by lines s, t, and y, clockwise from top left, are blank, blank, (10 x 5) degrees, blank, (4 x minus 7) degrees, blank; formed by s and z are 65 degrees, 1, blank, blank; formed by z and t are 2, blank, blank, blank. what is the measure of angle 2? 6 degrees 11 degrees 28 degrees 37 degrees
The sum of the angle of the triangle is 180 degrees. Then the measure of angle ∠2 is 98°.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
Lines y and z are parallel.
The parallel lines are cut by transversals s and t.
The angles are formed by lines s, t, and y be (10x + 5), a, (4x – 7).
∠1 and (10x + 5)° are equal because they are corresponding angles.
And ∠1 and 65° are equal because they are supplement angles.
Then we have
(10x + 5)° = 65°
10x = 65 - 5
10x = 60
x = 6
Then we have
(10x + 5)° = 10 × 6 + 5 = 65°
(4x – 7)° = 4 × 6 – 7 = 17°
We know that the sum of internal angles of the triangle is 180 degrees. Then we have
∠2 + 65° + 17° = 180°
∠2 + 82° = 180°
∠2 = 98°
The measure of angle ∠2 is 98°.
More about the angled link is given below.
https://brainly.com/question/15767203
Answer:
The answer is 28 degrees.
Step-by-step explanation:
None needed, it's right.
A 4-pack of notebooks costs $1.11. What is the unit price, rounded to the nearest cent?
Answer:
$0.3
Step-by-step explanation:
$1.11 divided by 4 notebooks. Each notebook costs $0.3.
please help me solve x^2-2x-1=x+3
Answer:
x = -1 or x = 4
Step-by-step explanation:
[tex]x^2-2x-1=x+3[/tex]
subtract [tex]x[/tex] from both sides:
[tex]\implies x^2-2x-1-x=x+3-x[/tex]
[tex]\implies x^2-3x-1=3[/tex]
subtract 3 from both sides:
[tex]\implies x^2-3x-1-3=3-3[/tex]
[tex]\implies x^2-3x-4=0[/tex]
factor:
[tex]\implies x^2+x-4x-4=0[/tex]
[tex]\implies x(x+1)-4(x+1)=0[/tex]
[tex]\implies (x-4)(x+1)=0[/tex]
Therefore,
[tex]x-4=0 \implies x=4[/tex]
[tex]x+1=0 \implies x=-1[/tex]
Write an equation that Han can use to find t, the time it will take to ride 24 miles, if his rate in miles per hour is represented by r.
Answer:
t = 24r
Step-by-step explanation:
T represents the time 24 is the miles and r represents the miles per hour.
Please help :( 5. A triangular sign was moved. The new location of the sign is represented by the shaded triangle.
Which transformations could have been used to move the sign to the new location?
A. translation 4 units right and translation 4 units down
B. rotation 180 degrees clockwise about C and translation 4 units right
C. reflection across BC and translation 4 units right
D. reflect across BC and then across AC
Answer:
reflection across BC and translation 4 units right
Step-by-step explanation:
Subjectual Test: MIDTERMfind the x and y intercepts
c) x + 3y - 12=0
solve pls brainliest
Both fractions have the same denominator so you just need to subtract the numerators:
14-4 = 10
They had 10/15 left.
This can be simplified to be 2/3
Answer: they had 2/3 pounds left.
Answer:
2/3 pounds left
Step-by-step explanation:
10/15 pounds left because
14/15 - 4/15 = 10/15
10/15 = 2/5
A brainliest would be appreciated if this helped you! :)
- profparis
help me out on this one i will give u brainlyiest
Answer:
12 4/8Step-by-step explanation:
1. First step
ADD
7+4=11
7+5=12
so
11[tex]\frac{12}{8}[/tex]
2. Second step
Now simplify
11 12/8 = 12 4/8 = 12 1/2
----------------------------------------------------------------------------------------------------------
Thanks!
Answered by: FieryAnswererGT
#learnwithbrainly
Want to thank me? JUST MARK ME BRAINLIEST! So simple!
1/9 + 2/3
Add this , if you get it
Its a fifth Grade question
Answer:
7/9
Step-by-step explanation:
1/9 + 2/3=
Geometry help would be greatly appreciated.
we hat is the measure of ABC Is15
Which of the following equations is equivalent to -7x + 4 +9 -3x
15?
A. 4x + 13=15
B. -10x +5 = 15
C. -10x + 13=15
D. 23x=15
Best get brainiest!!!
Answer:
c 9+4= 13 and -7+-3 is -10 and 15 is 15 XD
here is the question plss
Answer:
132.3
Step-by-step explanation:
follow the order of BODMAS
Answer:
1323/10
Step-by-step explanation:
1/2*15*(21/5) the power of 2
1/2*15*441/25
1/2*3*441/5
1323/10 or 132.3
Please help with homework.
My question is:
[tex](x+7)^{4}[/tex]
Help ASAP! Please! :(
Answer:
[tex]\huge\boxed{ \sf x^4+28x^3+294x^2+1372x+2401}[/tex]
explanation:
[tex]\sf (x+7)^4[/tex]
[tex]\hookrightarrow \sf (x+7) (x+7) (x+7) (x+7)[/tex]
[tex]\hookrightarrow \sf (x^2 +14x+49)(x+7)(x+7)[/tex]
[tex]\hookrightarrow \sf (x^3 +14x^2+49x+7x^2+98x+343)(x+7)[/tex]
[tex]\hookrightarrow \sf (x^3 +21x^2 +147x +343)(x+7)[/tex]
[tex]\hookrightarrow \sf x^4 + 21 x^3 + 147x^2 + 343x + 7x^3 + 147x^2 + 1029x+ 2401[/tex]
[tex]\hookrightarrow \sf x^4+28x^3+294x^2+1372x+2401[/tex]
note: just keep multiplying and simplifying with patience.
[tex](x + 7)^{4} [/tex]
Write 4 as a sum
[tex] {(x + 7)}^{2 + 2} [/tex]
Use [tex] \boxed{ \pmb{ {a}^{m + n} = {a}^{m} \times {a}^{n} }}[/tex] to expand the expression
[tex] {(x + 7)}^{2} \times {(x + 7)}^{2} [/tex]
Use [tex] \boxed{ \pmb{(a + b)^{2} = {a}^{2} + 2ab + {b}^{2} }}[/tex] to expand the expression
[tex] ( {x}^{2} + 14x + 49) \times ( {x}^{2} + 14x + 49)[/tex]
Multiply the parentheses
[tex] {x}^{4} + 14 {x}^{3} + {49x}^{2} + 14 {x}^{3} + {196x}^{2} + 686x + {49x}^{2} + 686x + 2401[/tex]
Collect like terms
[tex] {x}^{4} + {28x}^{3} + {294x}^{2} + 1372x + 2401[/tex]
why will i be a good role model essay
please i need help this is due tomorrow
Answer:
Relate the points down below to yourself and give examples
Step-by-step explanation:
You show confidence and leadership
Being yourself/unique
You speak and interact kindly with everyone
You show respect and concern for others
You give advice to those who need it
You have humility and a willingness to admit mistakes.
You do good things outside of school
Which of the following is NOT a monomial?
(Please don’t just guess, I need this question correct)
A)12xy
B)-8x
C)15
D2x+9
Answer:
B
Step-by-step explanation:
Monomial is all about one algebra
What is the length of AC? Round to the nearest tenth.
Answer:
AC = 8.7 cm (nearest tenth)
Step-by-step explanation:
Given:
[tex]\tan(30)=\dfrac{5}{b}[/tex]b = ACTo find AC:
[tex]\implies \tan(30)=\dfrac{5}{b}[/tex]
[tex]\implies b=\dfrac{5}{\tan(30)}[/tex]
[tex]\implies b=5\sqrt{3}[/tex]
⇒ b = 8.7 (nearest tenth)
Therefore, the length of AC is 8.7 cm (nearest tenth)
[tex]\\ \rm\Rrightarrow tan30=\dfrac{5}{b}[/tex]
[tex]\\ \rm\Rrightarrow 1/\sqrt{3}=5/b[/tex]
[tex]\\ \rm\Rrightarrow b=5\sqrt{3}[/tex]
[tex]\\ \rm\Rrightarrow b=8.66=8.7cm[/tex]
AC is 8.7cm