Answer:
15/18 pages per minute
Step-by-step explanation:
[tex]7 \frac{1}{2} = \frac{7 \times 2 + 1}{2} = \frac{14 + 1}{2} = \frac{15}{2} \\ \\ average \: reading \: rate \\ = \frac{ \frac{15}{2} }{9} \\ \\ = \frac{15}{2 \times 9} \\ \\ = \frac{15}{18} \: pages \: per \: minute[/tex]
please help me with this
Answer:
The answer would be C
Step-by-step explanation:
In order to do this. We have to add the exponents if they are in this form
6^2*6^2
Multiply the exponents if it is in this form
(6^16)^28
Subtract the exponents if it is in this form
2^9/2^4
please mark brainliest
A group of friends chartered a deep-sea fishing boat out of Destin, FL. The graph below represents the total cost, in dollars, of the trip as a function of the number of people going.
The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip. What is the difference in price per passenger for a group of 16 versus a group of 10?
a.) $46.25
b.) $36.25
c.) $56.25
d.) $26.25
Answer:
D: $26.25 I just took the assessment and got it right
An alarming number of U.S. adults are either overweight or obese. The distinction between overweight and obese is made on the basis of body mass index (BMI), expressed as weight/height 2. An adult is considered overweight if the BMI is 25 or more but less than 30. An obese adult will have a BMI of 30 or greater. According to a January 2012 article in the Journal of the American Medical Association, 33.1% of the adult population in the United States is overweight and 35.7% is obese.
A. What is the probability that a randomly selected adult is either overweight or obese?
B. What is the probability that a randomly selected adult is neither overweight or obese?
C. Are the events "overweight and "obese" exhaustive?
Answer:
(A) The probability that a randomly selected adult is either overweight or obese is 0.688.
(B) The probability that a randomly selected adult is neither overweight nor obese is 0.312.
(C) Yes, the events "overweight" and "obese" are exhaustive.
Step-by-step explanation:
We are given that an adult is considered overweight if the BMI is 25 or more but less than 30. An obese adult will have a BMI of 30 or greater.
According to a January 2012 article in the Journal of the American Medical Association, 33.1% of the adult population in the United States is overweight and 35.7% is obese.
Let the event , A = a person is overweight
B = a person is obese.
So according to the question;
The probability that an adult population in the United States is overweight = P(A) = 0.331
The probability that an adult population in the United States is obese = P(B) = 0.357
(A) As we know that the events of a person being overweight or obese cannot occur together.
This means P(A ∩ B) = 0.
Now, the probability that a randomly selected adult is either overweight or obese is given by = P(A [tex]\bigcup[/tex] B)
P(A [tex]\bigcup[/tex] B) = P(A) + P(B) - P(A ∩ B)
= 0.331 + 0.357 - 0
= 0.688
Hence, the probability that a randomly selected adult is either overweight or obese is 0.688.
(B) Now, the probability that a randomly selected adult is neither overweight nor obese is given by = P(A' [tex]\bigcup[/tex] B')
P(A' [tex]\bigcup[/tex] B') = 1 - P(A [tex]\bigcup[/tex] B)
= 1 - 0.688 = 0.312
Hence, the probability that a randomly selected adult is neither overweight nor obese is 0.312.
(C) Exhaustive events are those events which cannot occur together, but they form a sample space when combined together.
In our question also, the person can't be both overweight and obese at the same time, and together the event of a person being overweight or obese forms a sample space of people who are heavier.
Hence, the events "overweight" and "obese" are exhaustive.
A- 0.688.
B- 0.312.
C- yes
dividing signed decimals rules have not changed! Move decimal point to the divisor to the _____ to make it a _____ number, and move the decimal point in the dividend the same amount, then place on top. Divide as normal, use ________ rules to determine sign of quotient.
Which information can always be read directly from an equation written in point-slope form?
-The location of a point on the line.
-The location of the y-intercept.
-The location of the 2-intercept.
-The location of 2 (x, y) coordinate points.
Answer:
The location of a point on the line
Step-by-step explanation:
Generally, we can write an equation in the point slope form as follows;
y-y1 = m(x-x1)
Where m is the slope of the line
So looking at the option, we can easily see that the information we can read directly from the point-slope form is the location of a point on the line.
We can easily tell the value of (x1,y1) which easily gives out the location of that point on the line
is .333333... rational
Answer:
No.
Step-by-step explanation:
If a decimal repeats forever, it will be irrational.
Hey there!☺
[tex]Answer:\boxed{\text{Rational}}[/tex]
[tex]Explanation:[/tex]
.333333 is rational because any integer, fraction, and a repeating and terminating decimals are rational. So, therefore, .333333 is rational.
Hope this helps!
Determine the number of acute, obtuse, and right angles in the shape above.
Answer:
Step-by-step explanation:
You should never be given a question that has a diagram that looks like it could be so.
That being said there is
1 obtuse angle (lower left)
1 right angle (top right)
2 acute angles (the two angles that are left).
Answer: BRAINLIEST???
1 right
2 acute
1 obtuse
Step-by-step explanation:
The zookeeper needed a new uniform for work. He bought his hat for $26.92, his shirt for $54.73, and his pants for $33.28. How much did he spend?
Find the distance between the points (4,-9) and (-6,-10)
Answer:
The answer is
[tex]\sqrt{101} \: \: \: or \: \: \: 10.05 \: \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(4,-9) and (-6,-10)
The distance between them is
[tex]d = \sqrt{ ({4 + 6})^{2} + ( { - 9 + 10})^{2} } \\ = \sqrt{ {10}^{2} + {1}^{2} } \\ = \sqrt{100 + 1} \: \: \\ = \sqrt{101} \: \: \: \: \: \: \: \: \: \\ = 10.04987...[/tex]
We have the final answer as
[tex] \sqrt{101} \: \: \: or \: \: \: 10.05 \: \: \: \: units[/tex]
Hope this helps you
Which equation has a graph that is a parabola with a vertex at (5, 3)?
Answer:
y = a(x² - 10x + 25) + 3
Step-by-step explanation:
From standard form of an equation, of a parabola, we have;
y = a(x - h)² + k
We are told that the parabola has a vertex at (5, 3). Which in essence is (h, x)
Thus;
y = a(x - 5)² + 3
y = a(x² - 10x + 25) + 3
Therefore, the equation that has a graph that is a parabola with a vertex at (5, 3) is;
y = a(x² - 10x + 25) + 3
Answer:
A. y = (x - 5)2 + 3
Step-by-step explanation: edge2021
Which is GREATER?
2^7 or 7^2
Answer:
[tex]2^7[/tex]
Step-by-step explanation:
[tex]2^7=2\times 2\times 2\times 2\times 2\times 2\times 2=128[/tex]
[tex]7^2=7\times 7=49[/tex]
Since [tex]128>49, 2^7\ is\ greater\ than\ 7^2[/tex]
Answer:
I'm pretty sure 7/2 is greater
Step-by-step explanation:
Its a improper fraction, therefore its bigger then a regular fraction.
I'm also a idiot
The rate of change in the number of miles of road cleared per hour by a snowplow with respect to the depth of the snow is inversely proportional to the depth of the snow. Given that 20 miles per hour are cleared when the depth of the snow is 2.5 inches and 11 miles per hour are cleared when the depth of the snow is 7 inches, then how many miles of road will be cleared each hour when the depth of the snow is 13 inches
Answer:
5.6 miles
Step-by-step explanation:
From the question, we can infer that this is an inversely proportionality question.
Let us represent Miles per hour = N
Depth of snow = s
Where k is proportionality constant.
dN/ds = k/s
dN = ds .k/s
Integrating this
∫dN = ∫k/s ds
N = k In s + C
Step 1
We find k
From the question, we are told that:
Given that 20 miles per hour are cleared when the depth of the snow is 2.5 inches
11 miles per hour are cleared when the depth of the snow is 7 inches,
20 = k ln 2.5 + C ..... Equation 1
11 = k ln 7 + C...... Equation 2
11 = k ln 7 + 20 - k ln 2.5
Collect like terms
k ln 2.5 - k ln 7 = 20 - 11
k( In 2.5 - In 7) = 9
k = 9/( In 2.5 - In 7)
k = 9/ -1.0296194172
k = -8.7410938932
Step 2
We find C
20 = k ln 2.5 + C ..... Equation 1
C = 20 - k ln 2.5
C = 20 -(-8.7410938932 In 2.5)
C = 20 + 8.7410938932 In 2.5
C = 20 + 8.0093833208
C = 28.0093833208
Step 3
how many miles of road will be cleared each hour when the depth of the snow is 13 inches
N = k In s + C
= -8.7410938932 ln 13 + 28.0093833208
= -22.420463165 + 28.0093833208
= 5.5889201559
Approximately= 5.6 miles
Therefore, 5.6 miles of road will be cleared each hour when the depth of the snow is 13 inches.
Compare using >, <, or =
3,219 and 9,003
Answer:
9,003 > 3,219
Step-by-step explanation:
9,003 is larger than 3,219
A pancake recipe calls for one egg for every four cups of flour. How many cups of flour do you need for six eggs?
Answer:
24 cups
Step-by-step explanation:
1. 1 egg= 4 cups of flour
Let x = # of eggs, and f = cups of flour
so f=4x
2. f= 4(6)
f =24
So the answer is 24 cups of flour
Answer: mutiply 4 by 6 which is 24
What percent of 821 is 25?
Answer:
%3.05
Do 25/821 and you should get around 3.05
The ratio of french fries to packets of ketchup in Philip's bag is 6:1. What does this mean?
Answer:
This means for every packet of ketchup, Phillip has 6 french fries.
Step-by-step explanation:
A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an Aon the test, and 35% of the class are
girls and scored an A on the test.
If a student is chosen at random and is found to be a girl, the probability that the student scored an Als
What is the ratio of the number of steps to the number of minutes?
Answer:
15-20 minutes - 1 mile or 100:1
Step-by-step explanation:
so think about steps per minute if you would walk a whole mile not you but the average sized adult it would be 15-20 minutes based on your size and strength or if you have any possible breathing issues to get steps just google how many steps are in a mile. remember steps to minute not minute to steps.
Maria solved an equation as shown below. 3 (x + 6) = 5 (x minus 4). 3 x + 18 = 5 x minus 20. 38 = 2 x. 19 = x.
Answer:
19
Step-by-step explanation:
The value of the x will be 19. Then Maria solved an equation correctly.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
3(x + 6) = 5(x – 4)
Maria solved an equation as shown below.
3 (x + 6) = 5 (x – 4)
3x + 18 = 5x – 20
38 = 2x
19 = x
x = 19
Then Maria solved an equation correctly.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
The string that produces the lowest tone on a piano vibrates 87 times in 3 seconds. How many times would this string vibrate in 12 seconds?
Answer:
21.75
Step-by-step explanation: 87 x 3 * 12
Which of the following is an even function?
f(x) = (х – 1)2
f(x) = 8x
f(x) = х2 - x
f(x)=7
Answer:
f(x) = 7
Step-by-step explanation:
even functions have all even powers of x
7 = 7x^0
Circle the vertex of the angle.
Answer: B
Step-by-step explanation:
Question 9 of 10
Dilating a triangle changes the angles and side length of the triangle.
O A. True
O B. False
SUBM
The given statement is false.
What is dilation?Dilation is a transformation that changes the size of a figure or an object without changing its shape.
The figure or object and its image after dilation are similar.
The size of the figure or object may increase or decrease based on a number called the scale factor.
Dilation is defined by a point called the center of dilation and the scale factor.
Dilation :-
A dilation does not change the shape of a figure, but it can change the size. Because the size of the figure changes, dilations are not isometries. Because the shape is invariant under a dilation, the original figure and its image are similar. If the proportion is greater than one, the figure will grow.
In reference to a triangle,
They scale distances between points, dilations do not change angles. All lengths of line segments in the plane are scaled by the same factor when we apply a dilation.
Hence, the given statement is false.
Learn more about dilation, click;
https://brainly.com/question/13176891
#SPJ7
The volume of a cubic cardboard box is 125/8 ft3.
The length of each side of the cardboard box is______
ft.
Answer:
The answer is
[tex] \frac{5}{2} \: \: \: feet \\ [/tex]Step-by-step explanation:
Since the cardboard box is a cube all it's sides are equal
Volume(V) of a cube = l³
where l is the length of one side
From the question
[tex]V = \frac{125}{8} \: {ft}^{3} [/tex]
The length of each side of the cardboard box is
[tex] {l}^{3} = \frac{125}{8} \\ \sqrt[3]{ {l}^{3} } = \sqrt[3]{ \frac{125}{8} } \\ l = \frac{5}{2} [/tex]
We have the final answer as
[tex] \frac{5}{2} \: \: \: feet \\ [/tex]
Hope this helps you
Answer:
5/2 ft
Step-by-step explanation:
The volume of a cube is calculated by the following formula.
Rewrite the formula in terms of the side, as shown.
It is given that the volume of the cardboard box is ft3. Substitute this value into the equation to determine the length of each side of the cardboard box.
Therefore, the length of each side of the cardboard box is 2.5 ft.
Can someone help
Me Plis
I’m not sure if my answer correct. If you can please help me.
=====================================================
Explanation:
We cannot divide by zero.
To figure out when the expression is undefined, set the denominator equal to zero and solve for z.
The quadratic formula is the best route in my opinion.
[tex]6z^2+14z-80 = 0\\\\z = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\z = \frac{-14\pm\sqrt{14^2-4(6)(-80)}}{2(6)}\\\\z = \frac{-14\pm\sqrt{2116}}{12}\\\\z = \frac{-14\pm46}{12}\\\\z = \frac{-14+46}{12} \ \text{ or } \ z = \frac{-14-46}{12}\\\\z = \frac{32}{12} \ \text{ or } \ z = \frac{-60}{12}\\\\z = \frac{8}{3} \ \text{ or } \ z = -5\\\\[/tex]
Plugging in either z = 8/3 or z = -5 leads to the the denominator 6z^2+14z-80 to be zero. So either of these z values makes the given rational expression to be undefined.
the sum of a number and 2 is 12. determine tbe number
Answer:
10
Step-by-step explanation:
2 + x = 12
Subtract 2 from both sides.
x = 10
~theLocoCoco
A cube-shaped box has a volume
of 125 cubic centimeters. If the box
is packed full of cubes with edge
lengths of 1 centimeter, how many
cubes can fit along one side of the
box?
Answer:
B.5
Step-by-step explanation:
1) The cost of constructing a path 5 m broad inside the boundary of a square lawn at Rs 36.25 per sq. metre is Rs 90625. What is the cost of covering the empty space with turfs at the rate of Rs 20 per sq. metre?
Let , side lawn is a.
Area of boundary is :
[tex]A=4\times5\times a\\\\A=20a\ m^2[/tex]
Now, total cost is given by :
[tex]T=20a\times 36.25\\\\90625=725a\\\\a=125\ m[/tex]
Area left is :
[tex]A'=a^2-20a\\\\A'=125^2-20\times 125\ m^2\\\\A'=13125\ m^2[/tex]
Price to empty space with turfs is :
[tex]P=A'\times 20\\\\P=13125\times 20\\\\P=262500[/tex]
Therefore, the cost of covering the empty space with turfs at the rate of Rs 20 per sq. metre is Rs 262500.
Hence, this is the required solution.
Carlos is two-thirds of his grandfather's height. If his grandfather is 6 feet tall, how tall is Carlos?
Answer:
4 feet
Step-by-step explanation:
