Answer:
28 seconds ..............
What is x: |3x-1| = 4
Step-by-step explanation:
3x-1=4
3x=4+1
3x=5
x=5/3
Answer:
x = 5/3 x = -1
Step-by-step explanation:
|3x-1| = 4
There are two solutions, one positive and one negative
3x-1 =4 and 3x-1 = -4
Add 1 to each side
3x-1+1 = 4+1 3x-1+1 = -4+1
3x = 5 3x = -3
Divide by 3
3x/3 = 5/3 3x/3 = -3/3
x = 5/3 x = -1
Suppose 1 in 5 (1/5) JWU students own their own car. If four students are randomly selected, what is the probability that all four own their car?
Answer:
1/625 = 0.0016
Step-by-step explanation:
update, oh sorry, this is about 4 picks and not 5.
so, it is 1/5⁴ = 1/625 = 0.0016
1 in 5 own their own car.
that is 20% or a chance of 1/5 = 0.2 of picking a student owning a car.
let's assume that the total number of students is large enough that each pick does not change the individual probabilities.
each event (picking a student and checking the ownership of a car) is independent and non-overlapping.
so, the probability that all 5 own a car is the chance of picking the 5th student owning a car AND all 4 previous student picks owning a car.
the probability that all 4 previous picks own a car is the chance of picking the fourth student owning a car AND all 3 previous student picks owning a car.
the probability that all 3 previous picks own a car is the chance of picking the third student owning a car AND all 2 previous student picks owning a car.
the probability that all 2 previous picks own a car is the chance of picking the second student owning a car AND the previous student pick owning a car.
the probability that the first student pick owns a car is 1/5 or 0.2
so, we have a clean
1/5×1/5×1/5×1/5×1/5 = 1/5⁵ probability = 1/3125 = 0.00032
What is the amswerdkdmxmmdmdmdm
Answer:
HUH?
Step-by-step explanation:
The diameter of a sphere is 4 cm. Which represents the volume of the sphere?
32/3 πcm^3
8 πcm^3
64/3 πcm^3
16 π cm^3
Answer:
V = 32/3 pi cm^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
The diameter is 4 so the radius is d/2 = 4/2 = 2
V = 4/3 pi (2)^3
V = 32/3 pi cm^3
Which table represents a linear function?
Answer:
the the 3rd one Is the one
The operations manager of a company that manufactures tires wants to determine whether there are any differences in the quality of work among the three daily shifts. She randomly selects 300 tires and carefully inspects them. Each tire is either classified as perfect, satisfactory, or defective, and the shift that produced it is also recorded. The two categorical variables of interest are "shift" and "condition of the tire produced". The p-value of the Chi-Squared test of independence is 0.073. Does the data provide sufficient evidence at the 5% significance level to infer that there are differences in quality among the three shifts?
The operation manager is responsible to identify whether there are errors in quality of the tires manufactured.
There are three different shifts and each shift has different team of workers who manufacture tires. For this we test hypothesis as;
H0 ; Quality of tire manufactured is independent on shifts
Ha ; Quality of tires manufactured is dependent on shifts.
The p value of chi squared test is greater than the significance level therefore we reject the null hypothesis.
This hypothesis reach to conclusion that quality of tires is dependent on shifts, which means there are differences in quality among the three shifts.
Learn more at https://brainly.com/question/24365931
If f(x) is an exponential function where f(-1.5) 26 and
f(5.5) = 7, then find the value of f(10), to the nearest hundredth.
Answer:
[tex]f(10) = 1147.25[/tex]
Step-by-step explanation:
Given
[tex]f(-1.5) = 26[/tex]
[tex]f(5.5) = 7[/tex]
Required
f(10)
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
[tex]f(-1.5) = 26[/tex] impleies that:
[tex]26 = ab^{-1.5}[/tex] --- (1)
[tex]f(5.5) = 7[/tex] implies that
[tex]7 = ab^{5.5}[/tex] --- (2)
Divide (2) by (1)
[tex]26/7 = ab^{-1.5}/ab^{5.5}[/tex]
[tex]3.71429 = b^{-1.5+5.5}[/tex]
[tex]3.71429 = b^{4}[/tex]
Take 4th root
[tex]b = 1.39[/tex]
Substitute [tex]b = 1.39[/tex] in [tex]26 = ab^{-1.5}[/tex]
[tex]26 = a * 1.39^{-1.5}[/tex]
[tex]26 = a * 0.6102[/tex]
Solve for (a)
[tex]a = 26/0.6102[/tex]
[tex]a = 42.61[/tex]
f(10) is calculated as:
[tex]f(10) = ab^{10}[/tex]
[tex]f(10) = 42.61 * 1.39^{10}[/tex]
[tex]f(10) = 1147.25[/tex]
Please help 20 points. I will give Brainly to who ever get it right.
The range is the an interval on the y-axis where the function is defined.
You can see that your function is y-wise going all the way down to negative infinity but then stops and continues the path along 2 on the upper bound.
The inequality describing the interval is thusly B,
[tex]-\infty\lt y\lt2[/tex]
Hope this helps :)
A newsletter publisher believes that over 47% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.02 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim?
The advertiser failed to reject the null hypotenuse so this would mean there is not sufficient evidence at the 0.02 level of significance to say that the percentage of people who own a Rolls Royce is higher than 47%
factorise m^2 - 12 m + 24
Answer:
(m-6+2root3)(m-6-2root3)
Step-by-step explanation:
m^2 - 12m +36 -12
= (m-6)^2 - 12
= (m-6+2root3)(m-6-2root3)[root 12 = 2root3]
Mrs. Gomez has two kinds of flowers in her garden. The ratio of lilies to daisies in the garden is 5:2
If there are 20 lilies, what is the total number of flowers in her garden?
Answer:
28
Step-by-step explanation:
5 : 2
since this is a simplified ratio, they have a common factor. let's say it is 'x'
so now :
5x : 2x
we know that 5x is lilies, and we also know that she has 20 lilies, so:
5x = 20
x = 4
the daisies would be 2x so 2*4 = 8
total flowers is 20 + 8
28
The graphs of exponential functions f and g are shown on the coordinate plane below.
9514 1404 393
Answer:
k = 3
Step-by-step explanation:
It is convenient to look at the line y=1 to see that f(0) = 1 and g(3) = 1. Then for x=3, g(3) = f(3 -k) = f(0) = 1
k = 3
__
k is the amount by which the function has been shifted to the right. By comparing grid-intersection points on f(x) and g(x), we see that g(x) is 3 units to the right of f(x), so k = 3.
Please help me with this on the picture
9514 1404 393
Answer:
(-5, 4)
Step-by-step explanation:
The inside corner moves from (2, -2) to (-3, 2). That is 5 is subtracted from the x-coordinate, and 4 is added to the y-coordinate. (x, y) ⇒ (x -5, y +4)
The translation vector can be written horizontally as (-5, 4), or vertically as ...
[tex]\displaystyle\binom{-5}{4}[/tex]
which data is represented by this plot?
a)2,4,0,4,6,3,1,7,8,1,1
b)0,1,2,3,4,5,6,7,8,0,1
c)0,2,3,0,2,4,4,5,7,8,7
d)1,2,6,4,7,7,2,2,0,1
Which type of correlation does the scatter plot show?
A) No correlation
B) Positive correlation
C) Negative correlation
D) Can't be determined
Answer: B, Positive Correlation
Step-by-step explanation:
Every point after the first point increases. Therefore, we have a positive correlation. If it was a negative correlation, every point after the first would be decreasing.
The scatterplot shows the attendance at a pool for different daily high temperatures.
A graph titled pool attendance has temperature (degrees Fahrenheit) on the x-axis, and people (hundreds) on the y-axis. Points are at (72, 0.8), (75, 0.8), (77, 1.1), (82, 1.4), (87, 1.5), (90, 2.5), (92, 2.6), (95, 2.6), (96, 2.7). An orange point is at (86, 0.4).
Complete the statements based on the information provided.
The scatterplot including only the blue data points shows
✔ a strong positive
association. Including the orange data point at (86, 0.4) would
✔ weaken
the correlation and
✔ decrease
the value of r.
Answer:
✔ a strong positive
✔ weaken
✔ decrease
ED2021
Answer:
The scatterplot including only the blue data points shows
✔ a strong positive
association. Including the orange data point at (86, 0.4) would
✔ weaken
the correlation and
✔ decrease
the value of r.
Step-by-step explanation:
mr albernathy perchases a selection of wrenches for his shop. his bill was $78. he buys the same number of $1.50 wrenches and $2.50 wrenches, and half as may $4 dollars wrenches. the number of $3 wrenches is one more than the number of $4 dollars wrenches. how many of each did he purchase?
Answer:
Mr. Abernathy purchased 10 of $1.50 wrenches, 10 of $2.50 wrenches, 5 of $4 wrenches and 6 of $3 wrenches.
Step-by-step explanation:
−12x+y=10 in slope-intercept form
Answer:
y=12x+10
Step-by-step explanation:
Slope-intercept form is y=mx+b
1. Add -12x to both sides of the equation
10
8
12
10
14
?
a. 16
b. 10
c. 12
d. 18
Answer:
12
Step-by-step explanation:
10 8 subtract 2
8 12 add 4
12-10 subtract 2
10 14 add 4
Now we subtract 2
14-2 = 12
A general contractor is constructing a building that requires a concrete foundation that is to be 20 feet by 22 feet and 24 inches thick. If the local home supply store sells concrete for $ 110 per cubic yard, what will be the cost of the concrete for the foundation?
Express your answer rounded up to the next whole dollar.
Answer:
$38427
Step-by-step explanation:
Surface Area Formula: A=2(wl+hl+hw) where l=length w=width h=height
A=2((20(22))+(22(2))+(20(2)) = 1048ft^2
3 ft = 1yds -> 1048 ft = 349 1/3 yds
349 1/3(110)= 38426.66666
$38427
Answer: $2,613,600
Step-by-step explanation:
Concept:
Here, we need to know the idea of unit conversion and a rectangular prism.
When there are multiple units occurring in the same question, then we should convert all the units into one by different conversion factors.
A rectangular prism is a three-dimensional figure that has 6 sides that are rectangles.
1 foot = 12 inches
1 yard = 3 feet
V (rectangular prism) = w · l · h
Solve:
24 inches = 24 / 12 = 2 feet
$110 per cubic yard = 110 × 3³ = $2970 per cubic feet
V = w · l · h
V = (20) (22) (2)
V = 880 feet³
880 × 2970 = $2,613,600
Hope this helps!! :)
Please let me know if you have any questions
compute (-12)+(-8)+30
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-12 + (-8) + 30}\\\\\large\textsf{= -12 - 8 + 30}\\\\\large\textsf{-12 - 8 = \bf -20}\\\\\large\textsf{= -20 + 30}\\\\\large\textsf{= \bf 10}\\\\\\\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf{10}}}}\huge\checkmark\\\\\\\\\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The perimeter of a fence is 64 feet. The length is 4 feet less than twice the width. What is the length of the fence?
Answer:
20 feet
Step-by-step explanation:
let the width be x
length = 2x-4
perimeter = 2 length + 2 width = 2(2x-4)+2x = 4x-8+2x = 6x-8
6x-8 = 64
6x = 72
x = 12
length = 2x-4 = 2(12)-4 = 20
Zoe is a party planner. She orders cupcakes and sheet cakes from Creative Cakes whenever she needs beautiful cakes to serve. One sheet cake serves 24 people and 2 dozen cupcakes serve 24 people. For the Benson's bridal shower she ordered 8 dozen cupcakes and 3 sheet cakes and paid $160.81. For the Nygaard's 50th wedding anniversary she ordered 6 dozen cupcakes and 15 sheet cakes and paid $342.33. She is planning a graduation party for her niece's high school class. She wants the party to be nice but she offered to pay for the cakes herself so she wants to choose the most economical plan. Zoe estimates 250 people will attend the party.
Full question:
Zoe is a party planner. She orders cupcakes and sheet cakes from Creative Cakes whenever she needs beautiful cakes to serve. One sheet cake serves 24 people and 2 dozen cupcakes serve 24 people. For the Benson's bridal shower she ordered 10 dozen cupcakes and 4 sheet cakes and paid $186.44. For the Nygaard's 50th wedding anniversary she ordered 2 dozen cupcakes and 15 sheet cakes and paid $259.66. She is planning a graduation party for her niece's high school class. She wants the party to be nice but she offered to pay for the she wants to choose the most economical plan. Zoe estimates 250 people will attend the party
Select the most economical choice below:
Zoe should buy sheet cakes because they cost $12.38 for one sheet cake.
Zoe should buy sheet cakes because they cost $15.66 for one sheet cake.
Zoe should buy cupcakes because they cost $12.38 for one dozen cupcakes.
Zoe should buy cupcakes because they cost $15.66 for one dozen cupcakes.
Zoe should buy cupcakes because they cost $12.38 for two dozen cupcakes.
Answer:
Zoe should buy cupcakes because they cost $12.38 for two dozen cupcakes.
Explanation:
If there are 250 people attending the high school class graduation party, then 24 people each within 250 people in total would get 2 dozen cupcakes worth $12.38 each.
Therefore there are 250/24 = 10.41 groups (10 groups approximately or 10.41×2=20.82 dozens of cupcakes required)
Zoe would need to spend 10.41×$12.38= $128.88 to buy the cupcakes for the party
Walnut High Schools Enrollment is exactly five times as large as the enrollment at walmut junior high the total enrollment for the two schools is 852 what is the enrollment at each school
Answer:
Enrollment at walnut junior = 142
Enrollment at walnut high = 710
Step-by-step explanation:
Let :
Enrollment at walnut junior = x
Enrollment at walnut high = 5x
Total enrollment in both schools = 852
Mathematically ;
x + 5x = 852
6x = 852
x = 142
5x = 142 * 5 = 710
Hence,
Enrollment at walnut junior = 142
Enrollment at walnut high = 710
What is the order of rotational symmetry for the figure?
A. 4 or more
B. 2
C. 1
D. 3
what is the area of a circle if the radius is 9 m
Answer:
(approximately) 254.34 meters
Step-by-step explanation:
Concepts:
Area is the amount of space a 2D shape has.The area of a circle is the amount of space it has. The formula to find the area is πr^2, where r is the radius and π is often represented as 3.14 or 22/7. The radius of a circle is a straight line from the center to the circumference of it. The radius is 1/2 of the diameter, meaning the diameter of a circle is a straight line passing from one side to the other side of the circle.Solving:
Let's use the formula for area of a circle to solve.
1. Formula for Area of a Circle
πr^22. Exchange π for 3.14
3.14 · r^23. Plug in the value of r (radius of circle) as 9
3.14 · 9^24. Simplify
3.14 · 81254.34Therefore, the area of a circle when the radius is 9 meters is approximately 254.34 meters.
Select all correct answers
What are the solution to this equation
-7+(x^2-19)^3/4=20
Correct options are -10 and 10
-7 + (-10² - 19)³/⁴ = 20
-7 + (100 - 19)^3/4 = 20
-7 + (81)^3/4 = 20
-7 + 27 = 20
20 = 20
RHS = LHS
-7 + (10² - 19)^3/4 = 20
-7 + (100 - 19)^3/4 = 20
-7 + (81)^3/4 = 20
-7 + 27 = 20
20 = 20
RHS = LHS
Rest options are incorrect
Answered by Gauthmath must click thanks and mark brainliest
Answer:
B and C, so 10 and -10
Step-by-step explanation:
By how many minutes is 2¾h longer than 1h 55min?
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each quadratic equation with its solution set.
Answer:
2x^2 - 9x -1 = 0
Solution: x = 9 ±√89/4
2x^2 -9x +6 = 0
Solution: 9 ± √33/4
Step-by-step explanation:
Given the equation;2x^2 - 9x -1 = 0
From the quadratic formula;
-b ±√ b^2 -4ac/2a
We have;
x= -(-9) ± √(-9)^2 - -4(2)(-1)/2(2)
x = 9 ±√89/4
Also;
Given the equation: 2x^2 -9x +6 = 0
From the quadratic formula: -b ±√ b^2 -4ac/2a
We have;
x= -(-9) ± √(-9)^2 - 4(2)(6)/2(2)
x= 9 ± √33/4
1.) 2x^2-9x+6 2.) 2x^2-8x+5 3.) 2x^2-9x-1 4.) 2x^2-8x-3
Step-by-step explanation:
(x+16)²=12 plz help me and show work
Answer:
The answer is [tex]x=-16[/tex] ±[tex]2\sqrt{3}[/tex] in exact form or [tex]x=-12.535898[/tex], [tex]x=-19.464102[/tex] in decimal form.
Step-by-step explanation:
To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring [tex]x+16[/tex], which will look like [tex]x^{2} +32x+256-12=0[/tex]. Next, simplify the equation again, which will look like [tex]x^{2} +32x+244=0[/tex].
Then, use the quadratic formula to find the solutions. The quadratic formula looks like[tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex].
For this problem, the quadratic variables are as follows:
[tex]a=1[/tex]
[tex]b=32[/tex]
[tex]c=244[/tex]
The next step is to substitute the values [tex]a=1[/tex], [tex]b=32[/tex], and [tex]c=244[/tex] into the quadratic formula and solve. The quadratic formula will look like [tex]\frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}[/tex]. To simplify the equation, start by simplifying the numerator, which will look like [tex]x=\frac{-32(+-)4\sqrt{3} }{2*1}[/tex]. Then, multiply 2 by 1 and simplify the equation, which will look like [tex]x=-16(+-)2\sqrt{3}[/tex]. The final answer is [tex]x=-16[/tex] ±[tex]2\sqrt{3}[/tex] in exact form. In decimal form, the final answer is [tex]x=-12.535898[/tex], [tex]x=-19.464102[/tex].
