Step-by-step explanation:
11b + 5 = 38
11b = 33
b = 3 is the answer
what is the surface area of a tent 5ft height. 7ft length, 6ft width
Nate has 6 3/5 of fabric. He uses 3 1/2 yards of fabric to make a pillow. How much fabric dose he left
Answer:
3 and 1/2 minus 2/3 minus 1/3 =
7/2 minus 2/3 minus 1/3 =
21/6 minus 4/6 minus 2/6 =
17/6 - 2/6 =
15/6 = 5/2 = 2 and 1/2
Optionally, you can think of it this way:
He used 2/3 yards for the pillow and 1/3 yard for the scarf.
So he used 1 yard
3 and 1/2 minus 1 = 2 and 1/2 = 5/2
Step-by-step explanation:
Please look at the picture and answer. Thanks! :)
29/16= 1.8125
as decimal
The line graph shows the time spent by people visiting the
Department of Motor Vehicles to renew their driver's license during
their birth month. To the nearest minute, what is the average waiting
time for all the months shown on the graph?
A)
18 minutes
B)
29 minutes
C)
37 minutes
D)
41 minutes
Answer:
Option (B)
Step-by-step explanation:
Average waiting time in the month of October = 20 minutes
Average waiting time in the month of November = 30 minutes
Average waiting time in the month of December = 60 minutes
Average waiting time in the month of January = 40 minutes
Average waiting time in the month of February = 10 minutes
Average waiting time in the month of March = 10 minutes
Average waiting time in the month of April = 30 minutes
Average waiting time in the month of May = 40 minutes
Average waiting time in the month of June = 20 minutes
Total waiting period from October to June = 20 + 30 + 60 + 40 + 10 + 10 + 30 + 40 + 20 = 260
Average waiting period = [tex]\frac{260}{9}[/tex]
= 28.89
≈ 29 minutes
Option (B) is the answer.
The sum of the angle measures of a quadrilateral is 360°. Write and solve an equation to find the value of .
76°
to
122°
92°
The equation is
360
let the unknown no.be x
therefore, 76+122+92+x = 360
= 198+92+x = 360
= 290+x = 360
x=360-290
x= 70degree
hope this is helpful,
^_^
A standard number cube is rolled . What is the probability of getting a factor of 4?A standard number cube is rolled . What is the probability of getting a factor of 4?
Answer:
1 out is six
Step-by-step explanation:
there are six numbers on a dice cube to get four that is a one out of six.
Answer:
3/6, 1/2 or 50%
Step-by-step explanation:
The answer would be 3/6
because there are 3 factors of 4 and there are 6 total sides so the answer would be 3/6 or 1/2 or 50%
Round the value 44.981 to three significant figure
Answer:
45.0
Step-by-step explanation:
44.981 = 45.0 (to 3 s.f.)
*important point to note: the 0 must be included as the question asked for 3 significant figures. In this case, 0 is significant.
I hope this helps :)
Rounding 44.981 to three significant figures gives us 44.9.
To round the value 44.981 to three significant figures, we start counting from the leftmost non-zero digit.
The three significant figures in this case are "44.9".
The digit immediately after the third significant figure is 8.
Since 8 is greater than or equal to 5, we round up the last significant figure, which is 9.
Therefore, rounding 44.981 to three significant figures gives us 44.9.
Learn more about Round off here:
https://brainly.com/question/16934803
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Write and simplify an absolute value expression to find the distance between –3 and 8 on a number line A. −|−3 − 8| = –11 B. −|−3 + 8| = –5 C. |−3 + 8| = 5 D. |−3 − 8| = 11
Answer:
D. |−3 − 8| = 11
Step-by-step explanation:
We have to simplify an absolute value expression to find the distance between -3 and 8 on a number line.
Firstly, as we know that the absolute value means any number inside the mod (whether positive or negative) will come out as a positive value only, that means;
The absolute value of -6 = [tex]|-6|[/tex] = 6
The absolute value of 6 = [tex]|6|[/tex] = 6
Now, the distance between the numbers -3 and 8 on the number line will be the difference of two numbers inside the mod, that means;
Distance = [tex]|-3-8|[/tex] = [tex]|-11|[/tex]
As the number inside the mod comes out as a positive value only, so the distance = 11.
Hence, the distance between –3 and 8 on a number line is 11.
How many solutions does the equation have |r-6|=0
Answer:
Only one solution
Step-by-step explanation:
[tex] |r - 6| = 0 \\ r - 6 = \pm \: 0 \\ r - 6 = 0 \\ r = 6[/tex]
Anais
30°
In the triangle above, what is sin A?
A. sin A x 0.707
B. sin A = 0.5
C. sin A = 30
D. cannot be determined without side lengths
Answer:
The answer is B. sin A = 0.5
Step-by-step explanation:
Marlena places a square rug on her living room floor, which is also a square. What area of her floor is NOT covered by the rug? A. 9 square ft B. 12 square ft C. 63 square ft D. 81 square ft
Answer:
B. 12 square ft C. 63 square ft
Step-by-step explanation:
Marlena places a square rug on her living room floor, which is also a square.
Now if a square rug is placed in her room, the area of the floor will definitely be the area if the square rug..
And area of a square it = length ²
The result will give s a perfect square for an integer number.
A. 9 square ft = perfect square
B. 12 square ft = not perfect square
C. 63 square ft =not perfect square
D. 81 square ft= perfect square
So the ones that are not perfect squares Is the answer to the question
The area of her floor is NOT covered by the rug is 12 square ft and 81 square ft.
It is required to find the area of her floor is NOT covered by the rug.
What is square?A square is a four-sided polygon, whose all its sides are equal in length and opposite sides are parallel to each other. Also, each vertices of square have angle equal to 90 degrees.
Given:
Marlena places a square rug on her living room floor, which is also a square.
Now if a square rug is placed in her room, the area of the floor will definitely be the area if the square rug..
If the length of each side of the rug is equal to the length of each side of the room, there will be no area not covered.
According to given question we have,
And area of a square it = length ²
The result will give s a perfect square for an integer number.
A. 9 square ft = perfect square
B. 12 square ft = not perfect square
C. 63 square ft =not perfect square
D. 81 square ft= perfect square
Therefore, the area of her floor is NOT covered by the rug is 12 square ft and 81 square ft.
Learn more details about square here:
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Expand and simplify
8(n-1)-2(3n+5)
8(n-1)-2(3n+5)
8n-8-6n-10
8n-6n-8-10
2n-18
2(n-9)
A bank manager is interested in the average length of time that customers are willing to wait in line before they give up
Note. The original question with options given on the bottom
Answer:
F - 1, B -2, A - 3, D - 4, C - 5, E - 6
Step-by-step explanation:
F. Sample
The 25 customers that the manager observed leaveB. Population
All of the bank's customersA. Statistic
The average length of time that the 25 customers waited before leaving the bankD. Parameter
The average length of time that all customers will wait before leaving the bankC. Data
The list of times for the 25 customers who left the bankE. Variable
The length of time a customer waits before leaving the bank========================================================
Question
A bank manager is interested in the average length of time that customers are willing to wait in line before they give up and leave the bank. Match the vocabulary word with its corresponding example.
---------------------
1. The 25 customers that the manager observed leave
2. All of the bank's customers
3. The average length of time that the 25 customers waited before leaving the bank
4. The average length of time that all customers will wait before leaving the bank
5. The list of times for the 25 customers who left the bank
6. The length of time a customer waits before leaving the bank
---------------------
A. Statistic B. Population C. DataD. Param eter E. Variable F. Sampleif f(x) = x^2 + 1
and g(x) = 5-x then what is
(f+g)(x) =
Answer: x²-x+6
Step-by-step explanation:
(f+g)(x) means f(x)+g(x). Since we are given the values of f(x) and g(x), we can directly subtract them.
x²+1+(5-x) [distribute +1]
x²+1+5-x [combine like terms]
x²-x+6
Answer:
[tex]\huge\boxed{(f+g)(x) = x^2 - x+ 6}[/tex]
Step-by-step explanation:
[tex]\sf f(x) = x^2 + 1\\g(x) = 5-x[/tex]
Adding both functions
[tex]\sf (f+g)(x) = x^2 + 1+ 5 - x\\(f+g)(x) = x^2 - x+ 6[/tex]
— 7x(—8) help me plz
Answer: 56x
Step-by-step explanation: Multiply -8 by -7. Be sure to add your x at the end. VERY important.
I hope this helps you out! ♥
Answer:
[tex]56x[/tex]
Step-by-step explanation:
[tex]-7x(-8)[/tex]
The one and only thing you have to do in this question is to simplify.
[tex]-7x)(-8)[/tex]
This equals
[tex]56x[/tex]
Now you got your answer!
Hope this helps!
Which net below represents the given figure?
Ο Α.
O B.
B or C (both are correct just choose one)
B or C (both are correct).
co
..com
michael
What quantity of salt would you need to make 4 times as much as the original recipe?
Barbecue sauce
INGREDIENTS:
4 cups ketchup
2 teaspoons vinegar
teaspoon salt
teaspoon pepper
1 cup honey
1 tablespoon garlic
Write your answer as a fraction or as a whole or mixed number
teaspoons
Submit
2:47
o
300e
Lenovo
Answer: go to quizlet it has the answer i got that question aced
Step-by-step explanation:
mark brainly btw
Answer:
1/2
Step-by-step explanation:
x = 3 - 3y
x + 3y = -6
please explain too
Answer:
(x ; y) ∈ ∅
Step-by-step explanation:
x = 3 - 3y
x + 3y = - 6
replace x
(3 - 3y) + 3y = - 6
3 - 3y + 3y = - 6
3 = - 6
(x ; y) ∈ ∅
Step-by-step explanation:
we have given the value of x is 3 - 3y
[tex]\blue\star[/tex]x+3y = -6. (eq 1)
put the value of x in equation 1 we get
[tex]\blue\star[/tex] x + 3y = -6
[tex]\blue\star[/tex] 3-3y+3y.= -6
[tex]\blue\star[/tex] 3 = -6
Hope it helps.
Traffic police monitor the speed of vehicles as they travel over a new bridge. The average speed for a sample of 41 vehicles was 81.35 km/h, with the sample standard deviation being 4.52km/h. We will assume that the speeds are Normally distributed, and the police are interested in the mean speed.
Part a) Since the variance of the underlying Normal distribution is not known, inference here would involve the t distribution. How many degrees of freedom would the relevant t distribution have?
Part b) Create a 95 % confidence interval for the mean speed of vehicles crossing the bridge. Give the upper and lower bounds to your interval, each to 2 decimal places. ( ,)
Part c) The police hypothesized that the mean speed of vehicles over the bridge would be the speed limit, 80 km/h. Taking a significance level of 5 %, what should infer about this hypothesis?
A. We should reject the hypothesis since 80 km/h is in the interval found in (b).
B. We should reject the hypothesis since 80 km/h is not in the interval found in (b).
C. We should not reject the hypothesis since the sample mean is in the interval found in (b).
D. We should reject the hypothesis since the sample mean was not 80 km/h.
E. We should not reject the hypothesis since 80 km/h is in the interval found in (b).
Part d) Decreasing the significance level of the hypothesis test above would (select all that apply)
A. not change the Type II error probability.
B. decrease the Type I error probability.
C. either increase or decrease the Type I error probability.
D. not change the Type I error probability.
E. increase the Type I error probability.
Answer:
(a) The degrees of freedom; the relevant t distribution would have = n - 1 = 41 - 1 = 40.
(b) A 95% confidence interval for the mean speed of vehicles crossing the bridge is [79.92 km/hr, 82.78 km/hr] .
(c) We should not reject the hypothesis since 80 km/h is in the interval found in (b).
(d) Decrease the Type I error probability.
Step-by-step explanation:
We are given that the average speed for a sample of 41 vehicles was 81.35 km/h, with the sample standard deviation being 4.52km/h.
(a) Since here we don't know about population standard deviation, so the distribution that will be used here is t-distribution as the data also follows the normal distribution.
The degrees of freedom; the relevant t distribution would have = n - 1 = 41 - 1 = 40.
(b) Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample average speed of vehichles = 81.35 km/h
s = sample standard deviation = 4.52 km/h
n = sample of vehicles = 541
[tex]\mu[/tex] = population mean
Here for constructing a 95% confidence interval we have used a One-sample t-test statistics as we don't know about population standard deviation.
So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-2.021 < [tex]t_4_0[/tex] < 2.021) = 0.95 {As the critical value of t at 40 degrees of
freedom are -2.021 & 2.021 with P = 2.5%}
P(-2.021 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.021) = 0.95
P( [tex]-2.021 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.021 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95
P( [tex]\bar X-2.021 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.021 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95
95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.021 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.021 \times {\frac{s}{\sqrt{n} } }[/tex] ]
= [ [tex]81.35-2.021 \times {\frac{4.52}{\sqrt{41} } }[/tex] , [tex]81.35+2.021 \times {\frac{4.52}{\sqrt{41} } }[/tex] ]
= [79.92 km/hr, 82.78 km/hr]
Therefore, a 95% confidence interval for the mean speed of vehicles crossing the bridge is [79.92 km/hr, 82.78 km/hr] .
(c) The hypothesis given to us is;
Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 80 km/hr {means that the mean speed of vehicles over the bridge would be the speed limit of 80 km/h}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] 80 km/hr {means that the mean speed of vehicles over the bridge would be the speed limit of different from 80 km/h}
Here, we should not reject the null hypothesis since 80 km/h is in the interval found in (b) which means that we are 95% confident that the mean speed of vehicles over the bridge would be the speed limit of 80 km/h.
(d) Decreasing the significance level of the hypothesis test above would decrease the Type I error probability because Type I error probability is represented by the significance level.
Jason had to replace the floor of a triangular portion of his dining room. The portion had a height that was twice as high as the base. If the total area of the portion he needed to replace was 16 square feet (16ft2),how long in feet was the base of the portion he needed to replace?
Answer:
4 feet
Step-by-step explanation:
We know the the area of a triangle can be represented as [tex]\frac{bh}{2}[/tex].
Since the height is twice the base, we can substitute the value [tex]2b[/tex] in as [tex]h[/tex] in the expression, making it [tex]\frac{b\cdot2b}{2}[/tex]. If the area is 16, we can make the equation
[tex]\frac{b\cdot2b}{2} = 16[/tex]
Now to solve for b.
[tex]\frac{2b^2}{2} = 16\\\frac{2b^2}{2}\cdot2 = 16\cdot2\\\\2b^2 = 32\\\\2b^2\div2 = 32\div2\\\\b^2 = 16\\\\b=4[/tex]
Hope this helped!
A study showed that for young women a breakfast containing approximately 27 g (grams) of protein, 58 g of carbohydrate, 21 g of fat, and 525 calories is a nutritious breakfast that prevents a hungry feeling before lunch. The following table shows the content of four breakfast foods. How much of each should be served to obtain the desired amounts of protein, carbohydrates, fat, and calories? Calories Fat Carbohydrates Protein 110 0 24 2 1 cup juice 120 8 4. 8 1 cup cereal 100 6 10 2 slice bread 85 0 13 10 cup milk c juice c cereal slice(s) of bread c milk
Answer:
1 C JUICE , 1 C MILK , 1.5 SLICE OF BREAD and 1.5 C CEREAL should each be served to obtain the desired amounts.
Step-by-step explanation:
Given that;
protein carbohydrate fat calories
1 cup juice 2 24 0 110
1 cup cereal 8 4 8 120
1 slice bread 2 10 6 100
1 cup milk 10 13 0 85
Now let number of cups of juice, cereal , bread milk be
j, c, b and m respectively
from the table and information from the given
protein
2j + 8c + 2b + 10m = 27 ------------------equ 1
carbohydrate
24j + 4c + 10b + 13m = 58 ---------------equ 2
fat
8c + 6b = 21 ----------------------------------equ 3
calories
110j + 120c + 100b + 85m = 525 ------- equ 4
Now
equ 1 × 12 - equ 11
⇒(24j + 96c + 24b + 120m = 324) - (24j + 4c + 10b + 13m = 58)
= 92j + 14b + 107m = 266 -----------------equ 5
also
equ 1 × 55 - equ 4
( 110j + 440c + 110b + 550m = 1485) - ( 110j + 120c + 100b + 85m = 525 )
320c + 10b + 465m = 960
divide through by 5
64c + 2b + 93m = 192 ----------------------- equ 6
then
equ(5)×93 - equ(6)×107
(8556j + 1302b + 9951m = 24738) - (6848j + 214b + 9951m = 20544)
1708j + 1088b = 4194
divide through by 2
854j + 544b = 2097 --------------------------- equ 7
Now
equ(3)×854 - equ(7)×8
(6832c + 5124b = 17934) - ( 6832c + 4352b = 16776)
772b = 1158
b = 1158 / 772
b = 1.5
now put (b=1.5) in equation 3
8c + 6(1.5) = 21
8c 9 = 21
8c = 21 - 9
8c = 12
c = 12/8
c = 1.5
now put (b=1.5) and (c=1.5) in equation 6
64(1.5) + 2(1.5) + 93m = 192
96 + 3 + 93m = 192
93m = 192 - 99
93m = 93
m = 93/93
m = 1
now put (b=1.5), (c=1.5) and (m=1) in equation 1
2j + 8(1.5) + 2(1.5) + 10(1) = 27
2j + 12 + 3 + 10 = 27
2j + 25 = 27
2j = 27 -25
2j = 2
j = 2/2
j = 1
Therefore 1 C JUICE , 1 C MILK , 1.5 SLICE OF BREAD and 1.5 C CEREAL should each be served to obtain the desired amounts.
Does anyone know the answer to this? Needed asap
Answer:
t=r/d; t=0.2
Step-by-step explanation:
If d=r/t, then multiple both sides by t, to get td=r, then divide both sides by d, to get t=r/d. So t=8/40 t=0.2
A door with width 4.20 has an arc as shown in the diagram. Find: a the radius of the arc, to the nearest cm b the length of the arc, to the nearest cm. 225° is the central angle
Answer:
The arc length is 4 cm to the nearest cmStep-by-step explanation:
The diagram is not given in this question, but we can proceed anyways.
from the problem statement we can observe that the radius of the arc is same as the width of the door
a. the radius is 4.2 cm
b. the length of the arc given that the central angle is 25° can be gotten using the formula stated bellow
arc length = 2 π r *(∅/360)
substituting we have
arc length = 2*3.142*(225/360)
arc length= 6.284*0.625
arc length=3.92 cm
Approximately the arc length is 4 cmSimplify as much as possible.
2w?V32wu? + u V 18w5
?
Answer:
[tex]11 {w}^{2}u \sqrt{2w}[/tex]
Step-by-step explanation:
I'm never sure how far to go on these questions but I think what I'e done looks pretty nice. Essentially I simplified each radical, factored out each variable, combined the radicals after more simplification, and then picked the answer you were most likely looking for. I gave some alternatives in my work that are "simple" too, but the answer above is most likely I'd say.
Work is in the attachment, comment with any questions.
please help me with this question!!!! it’s due in 20 minutes
Answer:
3^12
Step-by-step explanation:
(3^3/4(2) - 3/8) ^4/9
(3^6/8-3/8)^4/9
(3^3/8)^4/9
3^3/8(4/9)
3^27/72(32/72)
3^864/72
3^12
Sorry if it's hard to read...
Which value of x makes this equation true?
-8(x+5) = -3x - 7+ x-3
A.
1 =
-
NIP
B.
I = -5
C.
=
1
D.
= 12
Answer:
x=-5
Step-by-step explanation:
opening the bracket on the LHS, we have
-8x-40= -3x+x-7-3
-8x-40= -2x-10
collecting like terms
-8x+2x= -10+40
-6x= 30
divide both sides by -6
x= -5
Which rule describes this transformation?
Answer:
[tex](x+4,y-5)[/tex]
Step-by-step explanation:
Studying the figures ABCD and A'B'C'D', we can look at just one point and figure out the transformation from that.
Point A is at (-7, 8)
Point A' is at (-3, 3)
If we look at the x values, -7 and -3, we can see that the value changed by 4. So [tex]x+4[/tex] will be what the x becomes.
Also looking at the y values, we can see that the values were 8 and 3 - that's a change of -5, so our y is [tex]y-5[/tex].
Combining these, we get [tex](x+4, y-5)[/tex].
Hope this helped!
Answer: A. (x,y) → ( x+4,y-5)
Step-by-step explanation:
This a rigid transformation and is being translated to find the transformation you could use any vertex.
Using the image of B and to get to B prime we have to move 4 units to the right and 5 units down.
So we could describe the whole transformation as (x,y) → ( x+4,x-5)
Suppose you plan on driving 600 miles in Canada how many kilometers is that
Answer:
9656.064 rounded its 9656
Step-by-step explanation:
multiply the length value by 1.609344
6000*1.609344
I need help on this..... please
Answer:
[tex]q(x)=2x-5,x\neq-2[/tex]
Step-by-step explanation:
So we have:
[tex]a(x)=2x^2-x-10\\b(x)=x+2[/tex]
And we want to find the quotient q(x). Thus:
[tex]q(x)=\frac{a(x)}{b(x)}[/tex]
Substitute:
[tex]q(x)=\frac{2x^2-x-10}{x+2}[/tex]
Factor the numerator:
[tex]2x^2-x-10\\=2x^2+4x-5x-10\\=2x(x+2)-5(x+2)\\=(2x-5)(x+2)[/tex]
Substitute:
[tex]q(x)=\frac{(2x-5)(x+2)}{x+2}[/tex]
The (x+2)s cancel out. Therefore:
[tex]q(x)=2x-5[/tex]
However, we must restrict x such that it cannot equal -2.
In the original equation, if it did, our answer would be undefined. Thus, our final answer is:
[tex]q(x)=2x-5,x\neq-2[/tex]
And we are done :)
Edit: Typo
Find the coordinate vector [Bold x ]Subscript Upper B of x relative to the given basis B
Answer:
coordinate value is [-3,4].
Reltive is mio pie x 78.9 :)
hoped this helped :)