What are the coordinates of the vertex of the table? Is it a minimum or a maximum? X Y 0 1 -1 -2 -2 -3
If it's 10 A.M. Eastern Standard Time in New York City, what time is it in Los Angeles? A. 1:00 P.M. B. 9:00 A.M. C. 7:00 A.M D. 12:00 P.M.
The length of a rectangle is 5 times the width. If the perimeter is to be greater than or equal to 108 meters. What are the possible values of the width?
The smallest possible value for the width of the rectangle is 9 meters, given that the perimeter must be greater than or equal to 108 meters and the length is 5 times the width.
The question asks for the possible values of the width of a rectangle where the length is 5 times the width and the perimeter is greater than or equal to 108 meters.
Step-by-step explanation:
Let's call the width of the rectangle w. The length is then 5w. The perimeter P of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width.
In this case, P = 2(5w) + 2w = 10w + 2w = 12w. Now, we know that P >= 108, so 12w >= 108.
To find the smallest value for w, we divide both sides by 12: w >= 9. Thus, the width of the rectangle must be at least 9 meters.
Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. To the nearest foot, How high above the ground the is the helicopter
help help help !!!!!!!!
What are the lower, middle, and upper quartiles of this data? 122, 164, 71, 98, 84, 147, 114, 111, 98, 85, 104, 71, 77
Answer:
The lower, middle, and upper quartiles of this data are 80.5, 98 and 118 respectively.
Step-by-step explanation:
The given data set is
122, 164, 71, 98, 84, 147, 114, 111, 98, 85, 104, 71, 77
Arrange the data set in ascending order.
71, 71, 77, 84, 85, 98, 98, 104, 111, 114, 122, 147, 164
Divide the data set in equal parts.
(71, 71, 77, 84, 85, 98), 98, (104, 111, 114, 122, 147, 164)
Now divide each parenthesis in two equal parts.
(71, 71, 77), (84, 85, 98), 98, (104, 111, 114), (122, 147, 164)
Lower quartile is
[tex]Q_1=\frac{77+84}{2}=80.5[/tex]
Middle quartile is
[tex]Median=Q_2=98[/tex]
Upper quartile is
[tex]Q_3=\frac{114+122}{2}=118[/tex]
Therefore, the lower, middle, and upper quartiles of this data are 80.5, 98 and 118 respectively.
The base of a triangle is 12 in. The height is 7 in. What is the area of the triangle? A) 19 in2 B) 28 in2 C) 42 in2 D) 84 in2
Answer:
C. 42
Step-by-step explanation:
Which of the following is not a way to represent the solution of the inequality 2(x − 2) less than or equal to 2?
A number line with a closed circle on 3 and shading to the right
A number line with a closed circle on 3 and shading to the left
3 greater than or equal to x
x less than or equal to 3
Answer:
The correct option is 1.
Step-by-step explanation:
The given inequality is
[tex]2(x-2)\leq 2[/tex]
Divide both the sides by 2.
[tex]\frac{2(x-2)}{2}\leq \frac{2}{2}[/tex]
[tex](x-2)\leq 1[/tex]
Add 2 on both the sides.
[tex]x-2+2\leq 1+2[/tex]
[tex]x\leq 3[/tex]
The value of x is than or equal to 3. In other words 3 greater than or equal to x.
Since the sign of inequality is ≤, therefore a number line with a closed circle on 3 and shading to the left represent the above inequality.
Only the statement "A number line with a closed circle on 3 and shading to the right" is not is not a way to represent the solution of the given inequality.
Therefore the correct option is 1.
A total of 60% of the customers of a fast food chain order a hamburger, french fries, and a drink. if a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered?
The probability that 10 or more will show that the above three food items were ordered is 0.403.
What is Binomial Distribution?The binomial distribution summarises the number of trials or observations where each trial has the same chance of achieving a specific value. The binomial distribution indicates the likelihood of observing a given number of successful outcomes in a given number of trials.
Given:
n= 15
p= 0.6
q= 1-0.6= 0.4
r= 10
Now, P(10<=x<=15) = 1 - binomcdf (15,0.6,9) = 0.4032
Then, P (x≥0) = [tex]\sum_{x=0}^n[/tex][tex]^{15}C_{10}(0.6)^{10}(0.4)^{10}[/tex]
= [tex]\sum_{x=0}^{15[/tex] 3003 x (0.0060466176) (x 0.0001048576)
= 0.403
Hence, the probability is 0.403.
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The area of an artist's square canvas can hold 113 square inches of paint. What is the approximate length of one side of the canvas?
(I will give Brainliest/5 stars to correct answer)
Find a ⋅ b.
a = 7i - 4j, b = 4i + 3j
A) <28, -12>
B) 16
C) -40
D) <11, -1>
Write the equation of the function graphed.
a)f(x) = |x + 4|
b)f(x) = |x – 4|
d)f(x) = |x| + 4
d)f(x) = |x| – 4
Find the two numbers that have a
difference of 3 and a sum of 27.
Of the four choices given, which two, when written as a system, have a solution of (–4, 5)?
It's A i just took the test.
If two chords are the same distance from the center of a circle, then they are _____________.
a. parallel
b. congruent
c. perpendicular
Answer: Congruent
Step-by-step explanation:
If two chords are the same distance from the center of a circle, then they are congruent, the correct option is B.
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]
(|AB| denotes length of line segment AB, and so on for others).
We are given that;
The distance between the chords is same
Now,
According to 1 and 2, if two chords are the same distance from the center of a circle, then they are congruent. This means they have the same length and subtend equal angles at the center.
Therefore, the answer will be congruent.
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The tennis ball has a radius of 10 cm. Calculate the approximate volume of the tennis ball. Round to the nearest tenth
A. 4,186.7 cubic centimeters
B. 523.3 cubic centimeters
C. 2,356.2 cubic centimeters
D. 658.9 cubic centimeters
caros ran 5.25 miles each day for d days. h ran a total of 157.5 miles. which eqution represents the number of days carlos ran?
The table below shows the distance d(t) in feet that an object travels in t seconds:
t
(seconds)
d(t)
(feet)
3
126
4
224
5
350
6
504
What is the average rate of change of d(t) between 3 seconds and 5 seconds, and what does it represent?
Find the sum of 5 smallest consecutive whole numbers.
0+1+2+3+4= 10
that is the answer
Answer:
10
Step-by-step explanation:
Need Help! I don't get it
these are so hard please help me and answer the last 4 I posted
Can someone please help me with this assignment
Solve the equation using square roots. x2 -9=0
Answer: x = 3, x= - 3
Step-by-step explanation:
x^2 - 9 = 0
=> x^2 = 9
=> x = 3, x= - 3
A square with one side length represented by an expression is shown below. 6(3x+8)+32+12x. Use the properties of operations to write three different equivalent expressions to represent the lengths of the other three sides of the square. One of your expressions should contain only two terms
The length of each side of the square can be represented by the equivalent expressions 30x + 80, 10(3x + 8), and 2(15x) + 2(40), with the first expression being in the simplest form and containing only two terms.
The student is provided with an expression for the side length of a square and is asked to write equivalent expressions representing the lengths of the other three sides. Since all four sides of a square are equal, we simply need to simplify the given expression and use it to represent each side. The given expression is 6(3x+8)+32+12x.
First, we can simplify this by distributing and combining like terms:
6(3x+8) becomes 18x + 48
Adding the 32 gives us 18x + 48 + 32
Finally, add the 12x to get 18x + 12x + 48 + 32
Combining like terms results in 30x + 80.
Now we have our simplified expression, which is 30x + 80, to represent the length of each side of the square. For different but equivalent forms:
As two terms: 30x + 80 (this meets the requirement of containing only two terms)
Factored form: 10(3x + 8)
Expanded form by distributing a common factor: 2(15x) + 2(40)
These are three different equivalent expressions we can use to represent the lengths of each side of the square.
a cookie recipe calls for 2/3 cup of sugar if you have three cups of sugar in your pantry how many batches of cookies can you make
Find the probability that when a couple has three children, at least one of them is a girl. (Assume that boys and girls are equally likely.)
Final answer:
The probability of having at least one girl when a couple has three children can be found by calculating the probability of having all boys and subtracting it from 1.
Explanation:
Probability that at least one child is a girl:
Find the probability of having all boys: (1/2)³ = 1/8
Subtract this from 1 to get the probability of having at least one girl: 1 - 1/8 = 7/8
Write a number with one decimal place,that is bigger than 6 4/5 but smaller than 7 how can I solve this
Lionel is planning a one-day outing
if the legs of a right triangle are 8 and 10, find the length of the hypotenuse
The semicircle shown at left has center X XX and diameter W Z ‾ WZ start overline, W, Z, end overline. The radius X Y ‾ XY start overline, X, Y, end overline of the semicircle has length 2 22. The chord Y Z ‾ YZ start overline, Y, Z, end overline has length 2 22. What is the area of the shaded sector formed by obtuse angle W X Y WXYW, X, Y?
The area of the shaded region is 4π/3 square units.
We have given that x= center diameter =wz w and z end over line radius=2
Triangle XYZ is equilateral,
What is the central angle of equilateral ?
120 degrees
so the central angle of the sector is 120°,
In radian
=120×[tex]\pi[/tex]/180
=2π/3 radians.
The area of a sector of central angle β is given by,
[tex]A = (1/2)r^2(\beta )[/tex] . . . . . . β in radians
[tex]A = (1/2)*2^2*(2\pi /3)[/tex]
= 4π/3 . . . . square units
Therefore the area of the shaded region is 4π/3 square units.
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