Answer:
a = -14
Step-by-step explanation:
f(a) = -43
3a - 1 = -43
3a = -43 + 1
3a = -42
a = -42/3
a = -14
A cashier samples the transaction of every 10th person who goes though the line at a craft store out of 40 people, 32 used a coupon. If 750 people go to this store each day, how many people would you expect to use a coupon?
If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon
What is probability?Probability is the likelihood of occurrance of an event. It is given by:
Probability = number of occurrence / total number of possible occurence
A cashier samples the transaction of every 10th person who goes though the line at a craft store out of 40 people, 32 used a coupon.
Probability of using coupon = 32/40 = 0.8
Hence if 750 people go to this store each day, number of people sampled = 75.
Number of people expected to use the coupon = 75 * 0.8 = 60
If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon
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How many inches are in 6 3/4 feet? Enter only a number. Do not include units.
Answer:
81 inches
Step-by-step explanation:
I believe this is it…
what is the volume of a oblique cylinder with the height of 6 cm and a 4 cm as the radius of its base
Answer :
301.44 cm³⠀
Explanation :
We know,
[tex]{ \longrightarrow \qquad\pmb {\boldsymbol{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}[/tex]
Where,
r is the radius of the cylinder. Here, the radius is 4 cmh is the height of the cylinder. Here, height is 6 cmHere, we will take the value of π as 3.14 approximately .⠀
Substituting the values in the formula :
⠀
[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times ({4})^{2} \times 6 \: }}}}}[/tex]
⠀
[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 16\times 6 \: }}}}}[/tex]
⠀
[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 96 \: }}}}}[/tex]
⠀
[tex]{ \longrightarrow \qquad{ \ { \it{ \pmb{ Volume_{(cylinder)} {= 301.44 \: }}}}}}[/tex]
⠀
Therefore,
The volume of the cylinder is 301.44 cm³ approximately.Trigonometric Equations
Solve the equation over the interval [0°, 360°)
cos(theta) = -1/2
Answer:
[tex]\frac{2\pi }{3};\frac{4\pi }{3}.[/tex]
Step-by-step explanation:
1) cos(θ)=-0.5;
theta=±2π/3+2πn, where n∈Z;
2) if θ∈[0;360], then
[tex]\theta=\frac{2\pi }{3}; \frac{4\pi }{3}.[/tex]
Which set of data is represented by the box plot? Interactivate: Box Plot Question 6 options: {1, 4, 6, 10, 12, 13, 17, 20, 21} {1, 4, 6, 10, 12, 14, 19, 20, 25} {4, 5, 8, 10, 15, 17, 19, 20, 25} {1, 4, 6, 7, 8, 9, 10, 12, 25}
To identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.
What is a Box Plot?If you identify the five-number summary of a data set, you can easily draw a box plot, because the values of each of the five-number summary is exactly what you are going to see on a box plot.
The min, max, lower and upper quartile, and median, which are the five-numnber summary of a data set is displayed as shown in the box plot attached below.
Therefore, to identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.
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PLEASE HELP
The graph of g(x)=3x^2+bx-24 has the same x-intercepts. what is the value of b?
(A) -6
(B) 14
(C) -2
(D) 1
The value of b so that 3 · x² + b · x - 24 has the same x-intercepts (only one x-intercept) is 12 √2.
How to determine a missing coefficient in a second order polynomial
Second order polynomials are represented graphically by parabolae and it may have two, one or no x-intercepts. The quantity of x-intercepts can be deducted from the discriminant of the quadratic formula, which is defined below:
For a · x² + b · x + c = 0, the discriminant is defined by:
d = b² - 4 · a · c (1)
There are three rules to determine the number of possible intercepts:
If d < 0, then there are no x-intercepts.If d = 0, then there is only one x-intercept.If d > 0, then there are two x-intercepts.Then, we have to find a value of b so that (1) has the following form:
b² - 4 · 3 · (-24) = 0
b² - 288 = 0
b = 12√ 2
The value of b so that 3 · x² + b · x - 24 has the same x-intercepts (only one x-intercept) is 12 √2. [tex]\blacksquare[/tex]
RemarkThe answer choices do not correspond with the given statement, the phrase "same x-intercepts" may lead to confusion and possible graph cannot be found. A possible corrected statement is shown below:
The graph of g(x) = 3 · x² + b · x - 24 has only one x-intercept. What is the value of b?
To learn more on parabolae, we kindly invite to check this verified question: https://brainly.com/question/10572747
Answer:
Step-by-step explanation:
In a math competition, every question that is answered correctly gets a score of 4. Wrong gets a score of -2. and not answered gets a score of -1. Ali got a score of 106 with 4 questions answered incorrectly and 6 questions not being answered. Many questions were answered correctly by........
please explain it
Answer:
Step-by-step explanation:
First we need to find the score of the incorrect answers and the questions that were not answered.
Score for the incorrect answers = 4*(-2) = -8
Score for the questions not answered = 6*(-1) = -6
Score for the questions answered correctly = 106 - [ (-8) + (-6) ]
= 106 -[-14]
= 106 + 14
= 120
Number of questions answered correctly = total score for questions that were answered correctly ÷ score of 1 correct answer
= 120 ÷ 4
= 30
30 questions were answered correctly.
Can someone help me out? I can't understand this shape. (Explanation also please). I'll mark brainliest
The surface area of the rectangular prism is 46m²
How to find surface area of a rectangular prism?length = 4mwidth = 2.5mheight = 2mSurface area of a rectangular prism = 2(width×length + height×length + height×width)
SA = 2(wl + hl + hw)
= 2(2.5×4 + 2×4 + 2×2.5)
= 2(10 + 8 + 5)
= 2(23)
= 46m²
Therefore, the surface area of a rectangular prism is 46m²
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The accompanying diagram show a cross-section of a rectangular pyramid. The cross sectional area is 36in and is 3 inches from the vertex of the pyramid. If the height of the pyramid is 5 inches, what is the area of the rectangular base?
The area of the rectangular base is the amount of space on the rectangular base
The area of the rectangular base is 60 square inches
How to determine the area of the rectangular base?The question is incomplete; as the diagram is not given.
So, I will apply the concept of similar shapes to determine the area of the rectangular base
To determine the area of the rectangular base, we make use of the following equivalent ratio:
Ratio = Height : Area
This gives
3 : 36 = 5 : Area
Express as fraction
36/3 = Area/5
Evaluate the quotient
12 = Area/5
Multiply both sides by 5
Area = 60
Hence, the area of the rectangular base is 60 square inches
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Pls help me 20 points
Step-by-step explanation:
a volume is created (calculated) by multiplying 3 dimensions (e.g. length, width and height).
am area is created by multiplying 2 dimensions (e.g. length and width).
but a scale factor applies only to any length in the model (but then separately for every dimension of the model).
so, when we multiply 2 dimensions, we have to multiply the scale factor with every dimension (2 times) in there too.
and for 3 dimensions 3 times.
so,
1.
the scale factor 1/100 or 0.01 says that every side of the model cube is 1/100 the side length of the real cube.
and so, while the volume of the real cube is
side × side × side = 3,401,244 ft³,
the volume of the model cube is
side × 1/100 × side × 1/100 × side × 1/100 =
= side × side × side × (1/100)³ =
= real volume × 1/1,000,000 =
= 3,401,244 / 1,000,000 = 3.401244 ft³
2.
the scale factor is 3/4.
that means that it applies to length as well as to width of the floor.
so, the area of the first floor is
length × width = 1,260 ft²
and the area of the second floor is then
length × 3/4 × width × 3/4 =
= length × width × (3/4)² =
= area first floor × 9/16 = 1,260 × 9/16 = 708.75 ft²
Mike spins a spinner and flips a coin. What
is the probability of getting E on the spinner
and the coin landing on heads?
A box has length 3 ft, width 5 ft, and height 2 ft.
What is the volume?
cu ft
Answer:
30 cubic feet
Step-by-step explanation:
The volume of a box is found by multiplying the area of the base by the height. The area of the base is found by multiplying the length by the width. (3 x 5)(2) = 15(2) = 30 cubic feet
Given the equation, what is the center and radius of the circle?
(X-2) ^2+ (Y+11)^2=100
Answer:
Center: (2, -11)
Radius: 10
Step-by-step explanation:
(x - 2)² + (y + 11)² = 100
(x - h)² + (y - k)² = r²
-------------------------------
x - 2 = 0
+2 +2
x = 2
------------
y + 11 = 0
-11 -11
y = -11
------------------------------
r² = 100
r = √100
r = 10
----------------------------
Center: (h, k)
Radius: r
-------------------------------
Center: (2, -11)
Radius: 10
I hope this helps!
We are given the equation of circle (x - 2)² + (y + 11)² = 100 , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;
So, consider the equation of circle ;
[tex]{:\implies \quad \sf (x-2)^{2}+(y+11)^{2}=100}[/tex]
Can be further written as ;
[tex]{:\implies \quad \sf (x-2)^{2}+\{y-(-11)\}^{2}={10}^{2}}[/tex]
On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows
Centre = (2, -11)Radius = 10 unitsNeed help with this geometric question ASAP, Thank you
Answer:
a. x = 9
b. GH = 30; GK = 20
Step-by-step explanation:
An angle bisector in a triangle divides the sides proportionally.
a.In this triangle, that means ...
(3x +3)/18 = (3x -7)/12
2(3x +3) = 3(3x -7) . . . . . . . multiply by 36
6x +6 = 9x -21 . . . . . . . . . eliminate parentheses
27 = 3x . . . . . . . . . . . . . . add 21 -6x
x = 9 . . . . . . . . . . . . . . . divide by 3
__
b.The segment lengths are found by substituting the value of 3x in each of the given expressions:
GH = 3x +3 = 27 +3 = 30
GK = 3x -7 = 27 -7 = 20
Three and one fifth of 1 1/2 is what number?
Answer:
3 1/5 = 16 / 5
1 1/2 = 3 / 2
16 / 5 * 3 / 2 = 48 / 10 = 24 / 5
The correct answer is 24 / 5 = 4 4 /5
(You can check on your calculator)
9
Emily drives 186 miles in 3 hours.
(a) What is her average speed?
Answer:
Her average speed would be 62 mph.
Step-by-step explanation:
Step 1. Do 186 divided by 3
Step 2. The answer you would get is 62
Step 3. Label to get 62 miles per hour (mph)
I hope that this helps! :)
Step-by-step explanation:
Displacement = 186 miles
Time taken = 3hours
Average speed = ?
Now,
[tex]average \: speed = \frac{total \: distnce}{total \: time \: } \\ = \frac{186}{3} \\ [/tex]
= 62 miles per hour
(NEED HELP ASAP)An urn contains three red marbles, and six blue marbles. What is the probability of selecting at random, without replacement, two blue marbles?
Answer:
6/9 or 1/3
Step-by-step explanation:
There is a total of 9 marbles of both colors in the bag.
(3 red marbles + 6 blue marble = 9 marbles)
This means the denominator of your probability will be 9. There are 6 blue marbles in the bag so, in conclusion, the probability that you will take a blue marble out of the bag is 6/9. Also, 6/9 when simplified, is 1/3.
Have a great rest of your day
#TheWizzer
Consider a right triangle with a side of length x opposite angle A, a side of length y opposite angle B, and a hypotenuse of length z opposite the right angle. If [tex]sinB=1/sqrt(3)[/tex] and x=8, find the length of the other side (y) and the length of the hypotenuse (z).
Answer:
y = 4√2 ≈ 5.66z = 4√6 ≈ 9.80Step-by-step explanation:
From the sine of the angle, the other trig function values can be determined:
cos(B) = √(1 -sin²(B)) = √(1 -(1/√3)²) = √(2/3) = (√6)/3
tan(B) = sin(B)/cos(B) = (1/√3)/(√2/√3) = 1/√2 = (√2)/2
__
Then the unknown side can be found from ...
Tan = Opposite/Adjacent
tan(B) = y/x
y = x·tan(B) = 8·√2/2 = 4√2 ≈ 5.66
__
And the hypotenuse is ...
Cos = Adjacent/Hypotenuse
cos(B) = x/z
z = x/cos(B) = 8/√(2/3) = 8√(3/2) = 4√6 ≈ 9.80
Find the value of x
What is the answer
Answer:
35
Step-by-step explanation:
well, you know the angles of a triangle add up to 180 degrees, and you have the other 2 degrees right there, so all you have to do is add both of the other angles 111+34= 145 and then subtract by 180, 180-145=35 so your answer is 35
Which choice correctly compares the two numbers? A) 2.41 > 2.37 B) 2.75 < 2.24 9 2.75 > 3.24 D) 3.48 < 2.47
Answer:
A 2.41 > 2.37
Step-by-step explanation:
2.41 is greater than 2.37
Answer:
A
Step-by-step explanation:
others arent true
Find the difference of 7 2/3 and 6 3/7
Answer:
Fraction answer (about):
1 1/4
Decimal answer (about):
1.24
Step-by-step explanation:
7 2/3 - 6 3/7 =
1.2380952381
1.2380952381 = about 1.24
The difference between 7 2/3 and 6 3/7 = 1.24
1.24 in fraction form is about 1 1/4
Have a great rest of your day
#TheWizzer
Answer:26/21
Step-by-step explanation:
Which expression is equivalent to the following complex fraction?
Consider the fraction first ;
[tex]{:\implies \quad \sf \dfrac{\dfrac{3}{(x-1)}-4}{2-\dfrac{2}{(x-1)}}}[/tex]
[tex]{:\implies \quad \sf \dfrac{\dfrac{3-4(x-1)}{\cancel{(x-1)}}}{\dfrac{2(x-1)-2}{\cancel{(x-1)}}}}[/tex]
[tex]{:\implies \quad \sf \dfrac{3-4x+7}{2(x-1-1)}}[/tex]
[tex]{:\implies \quad \boxed{\bf{\dfrac{-4x+7}{2(x-2)}}}}[/tex]
Hence, Option B) is required answer
what is the volume of a rectangular prism with height of 12 inches and a base with an area of 2 square inches.
Answer:
24 cubic inches
Step-by-step explanation:
Volume is side x side x side. You already have done side x side so it is just side x area.
8. Which statement about quadrilateral is true? A All rectangles are always squares B. All trapezoids are always rhombuses C. All rectangles are always rhombuses. D. All rectangles are always parallelogram
Answer:
I think it's D. All rectangles are always parallelogram
Step-by-step explanation:
Please mark me brainliest if correct
MARK AS BRAINLIEST
Below is the table of values of a function. Write the output when the input is n.
input
1
2
8
n
output
5
6
12
?
Answer:
Step-by-step explanation:
the answer is correct so good job ok
Write the percent as a decimal.
78% =
Answer:
0.78
Step-by-step explanation:
78 / 100
note that 100% = 1
PLEASE HELP ASAP!!!!!
a lower auto insurance deductible usually means a higher __
a.) maintenance cost
b.) max out of pocket
c.) premium
d.) ticket.
The deductible is the amount one pays towards the auto insurance
The complete statement is: a lower auto insurance deductible usually means a higher premium
What is deductible?When an insured loss or disaster happens, the amount one pay towards the loss is referred to as the deductible
As a general rule, the more the deductible, the lower the premium; and vice versa.
This means that: a lower auto insurance deductible usually means a higher premium
Hence, the text that completes the statement is premium
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The data set below represents the different costs of a tablet at an electronic store. $298. $196, $248, $379, $319, $276, $198, $349, $319. What is the median?
Answer:median of (298, 196, 248) - 196
median of (379, 319) - 349
median of (276,198, 349) - 198
Step-by-step explanation:
Answer:
298
Step-by-step explanation:
Given:
$298,$196, $248, $379, $319, $276, $198, $349, $319
Solve:
Put in order:
196, 198, 248, 276, 298, 319, 319, 349, 379
Median -
Arrange data values from lowest to highest value
The median is the data value in the middle of the set
If there are 2 data values in the middle the median is the mean of those 2 values.
Solution:
196, 198, 248, 276, 298, 319, 319, 349, 379
196, 198, 248, 276, 298, 319, 319, 349, 379
196, 198, 248, 276, 298, 319, 319, 349, 379
196, 198, 248, 276, 298, 319, 319, 349, 379
Hence, the median is 298.
~lenvy~
please answer correctly thanks
Answer:
Step-by-step explanation:
add all the three.
Answer:
60
Step-by-step explanation:
AD= AB+BC+CD
=22+29+9
=60 cm
a baby weights 7 pounds at birth. the table shows the birth weight after each month of life, up to six months
Answer:
y = 1x + 7
Step-by-step explanation:
Let's take 2 points, with x being the month and y being the weight as the month is listed first in the graph.
(0, 7) = the 1st point
(1, 8) = the 2nd point
In y=mx+b, m is the slope.
Slope = change in y / change in x = (y₂-y₁) /(x₂-x₁) = (y₁-y₂) / (x₁-x₂) = (8-7)/(1-0) = 1 / 1 = 1 = (7-8)/(0-1) = -1/-1 = 1
Our equation is thus
y = mx + b = y = (1) x + b
Plug one point, such as (1, 8) into this equation to obtain b
8 = (1) (1) + b
8 = 1 + b
subtract 1 from both sides to isolate b
7 = b
our equation is thus
y = (1) x + 7 = 1x + 7
Answer:
w = 1m + 7
Step-by-step explanation:
w = weight
m = months
If we look at the chart, as every month goes by, the baby gains another pound.
Hence, the best way to find the weight is to just add 7 to the months, since in the beginning (at 0 months) the weighs 7 pounds, so if it’s 1 month, the baby would just way 1 more pound.
This is why the formula: w = 1m + 7 works
Because 1 times the value of any month will be the same value, and all you have to do is add 7.
Example:
(x = multiply in this equation)
At 2 months: w = 1 x 2 + 7
Solve:
1 x 2 = 2
2 + 7 = 9
As you can see, all you have to do is fill in the month # in the formula, and you will get your w (weight).
Hope this helps :)