Answer:
P = 98 cmStep-by-step explanation:
Given one side and diagonal of rectangle we can use Pythagorean theorem to calculate the other side of it.
[tex]L=40\, cm\\D=41\,cm\\W=\ ?\\\\W^2+L^2=D^2\\\\W^2+40^2=41^2\\\\W^2+1600=1681\\\\W^2=81\\\\W=9[/tex]
Perimeter:
P = 2W + 2L = 2•40 + 2•9 = 80 + 18 = 98
Figure A is a scale image of Figure B. What is the value of x?
Answer:
x=30
Step-by-step explanation:
to find the value of x you have to find K(constant number).
[tex]\frac{x}{45}=\frac{18}{27}\\\frac{x}{45}=\frac{2}{3}\\ 3(x)=45*2\\3x=90\\x=\frac{90}{3}\\ x=30[/tex]
Answer:
The value of x is 30
Step-by-step explanation:
Step 1: Find the scale factor
[tex]\frac{FA}{F B} =\frac{45}{27}[/tex]
Step 2: Use the scale factor to solve for x
[tex]\frac{45}{27} =\frac{x}{18}[/tex]
[tex](45)(18) = 27x[/tex]
[tex]810 = 27x[/tex]
[tex]x = 30[/tex]
Therefore x = 30
An important factor in selling a residential property is the number of people who look through the home. A sample of 17 homes recently sold in the Buffalo, New York, area revealed the mean number looking through each home was 19 and the standard deviation of the sample was 4 people.
Develop a 98 percent confidence interval for the population mean. (Round your answers to 2 decimal places.)
Confidence interval for the population mean is between and ?
Answer:
Confidence interval for the population mean is between 15 homes and 19 homes
Step-by-step explanation:
Given that:
Sample (n) = 17 homes, mean (μ) = 19 homes, standard deviation (σ)= 4 people and confidence (C) = 98% = 0.98
α = 1 - C = 1 - 0.98 = 0.02
α/2 = 0.02/2 = 0.01.
The z score of 0.01 (α/2) corresponds to the z score of 0.49 (0.5 - 0.01) which from the normal distribution table is 2.33
The margin of error (E) is:
[tex]E=z_{0.01}*\frac{\sigma}{\sqrt{n} } =2.33*\frac{4}{\sqrt{19} }=2[/tex]
The confidence interval = μ ± E = 17 ± 2 = (15, 19)
Confidence interval for the population mean is between 15 homes and 19 homes
what is the perimeter of the rhombus ?
Answer:
20 units
Step-by-step explanation:
To find the hypotenuse length of one of the sides of this rhombus we have to use the pythagoram theorem.
if you make the point (1,0) the origin, we can see that it forms a triangle, with a base of 3, and a height of 4, next to the BE line.
a^2+b^2=c^2
9+16=c^2
25=c^2
c=5
if each diagnol length is 5 units long, the perimeter is
20 units.
Answer:
20 units.
Step-by-step explanation:
Formula for the perimeter of a rhombus = 4a.
Meaning all sides multiplied by 4
The point (1,0) is made A.
From D to F is 8 units, and from E to G is 6 units. Half of 6 is 3, and half of 8 is 4.
Imagine a right-angled triangle on one side of the rhombus(eg. ∆GAD), meaning that you'll have to find the hypotenuse.
*Use Pythagoras Theorem*
x² = 3² + 4²
x² = 9 + 16
x = √25
x = 5
The perimeter of the rhombus if one side is 5 units:
5 units × 4 sides = 20 units.
Write the event as set of outcomes. When we roll two dice, the total showing is eight.
A. {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}
B. {(2, 6), (3, 5), (4, 4)}
C. {(2, 6), (3, 5), (5, 3), (6, 2)}
D. {(1, 7), (2, 6), (3, 5), (4, 4), (5, 3), (6, 2), (7, 1)}
Explanation:
We simply list each possible choice in the form (x,y) where x is the result of the first die and y is the result of the second die.
The sum must be 8 so x+y = 8.
Choice A is the complete list showing all possible sums of 8.
Choice B is missing (5,3) and (6,2).
Choice C is missing (4,4)
Choice D shows (1,7), but 7 isn't a valid roll of a six-sided die.
-5^2 find the power
Answer:
-25
Step-by-step explanation:
Answer:
Hey there!
When we have a^b, b is the power.
Thus, in -5^2, 2 is the power.
Let me know if this helps, or if you need more help :)
PLEASE HELP ME I WILL GIVE 5 STARS TO THE FIRST ONE WHO GETS THIS RIGHT !
Answer:
Option 1 and option 4
Step-by-step explanation:
The inverse of 12^2 is the √12 so option 4 is correct. 12^1/2 also equals √12 so option 1 is also correct.
Answer:
12 [tex]\frac{2}{1}[/tex]
Step-by-step explanation:
Please help! I’ve tried every site and nothing has helped
The answer is 11.8
Answer:
11.8%
Step-by-step explanation:
Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.
Let p = probability of success = 30% = 30/100 = 0.3
q = probability of failure = 1-p = 1-0.3 = 0.7
Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.
That would be;
P(X = 0) = 6C0 p^0 q^6
6C0 is pronounced six combination zero
= 6 * 0.3^0 * 0.7^6 = 1 * 1 * 0.117649 = 0.117649
This is approximately 0.1176
If we convert this to percentage we have 11.76%
But we want our answer rounded to the nearest tenth of a percent and that is 11.8%
Solve for d.
4d - 4 = 5d – 8
d =
Answer:
Step-by-step explanation:
-d - 4 = -8
-d = -4
d = 4
Answer:
d= 4
Step-by-step explanation:
4d - 4 = 5d – 8
Subtract 4d from each side
4d-4d - 4 = 5d-4d – 8
-4 = d-8
Add 8 to each side
-4+8 = d-8+8
4 =d
90 to the nearest tenth
Answer:
90
Step-by-step explanation:
Hey there!
Well 90.000 to the nearest tenth is just 90 because there is no decimal places to round.
Hope this helps :)
Answer:
90
Step-by-step explanation:
90 has 0 ones so 90 is just 90, but rounded...
I need help again please
Answer:
multiply 3 by 18
Step-by-step explanation:
1 page
-------------
3 minutes
Multiply the top and bottom by 18 to get to 18 pages
1*18 page
-------------
3*18 minutes
18 pages
---------------
54 minutes
Answer:
multiply 3 by 18
Step-by-step explanation:
rate = number of pages / time
rate = 1 page/3 min = 1/3 page/minute
pages = rate * time
time = pages / rate
time = 18 pages / (1/3 page/minute)
time = 18 * 3 minutes
Answer: multiply 3 by 18
Diego and Max are buying soft drinks for a neighborhood picnic. Each person is
expected to drink one can of soda. Diego says that if you multiply the unit price for a
can of soda by the number of people attending the picnic, you will be able to
determine the total cost of the soda. Max says that if you divide the cost of a 12-
pack of soda by the number of sodas, you will determine the total cost of the sodas.
Which choices best illustrates who is correct and why?
Max is incorrect because he calculated the cost of one can of soda
Diego is incorrect because he calculated the price of one can of soda
Max is correct because the total cost divided by the number of sodas gives you
the total cost of the sodas
Answer:
D. Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.
Step-by-step explanation:
Each person is
expected to drink one can of soda.
Let p=price of each soda
q=number of people in the picnic
Total cost of soda=price of each soda × Total people attending the picnic
Total cost of soda=p×q
Diego says that if you multiply the unit price for a can of soda by the number of people attending the picnic, you will be able to
determine the total cost of the soda.
Max says that if you divide the cost of a 12-pack of soda by the number of sodas, you will determine the total cost of the sodas
A. Max is incorrect because he calculated the cost of one can of soda
B. Diego is incorrect because he calculated the price of one can of soda
C. Max is correct because the total cost divided by the number of sodas gives you the total cost of the sodas
D. Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.
A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeter per day. a. Write a rule to describe the function. b. After how many days will the zucchini plant be 18.5 centimeters tall?
Answer:The number of days it will grow to be 18.5 cm tall is 17 days.
Step-by-step explanation:
To find how many days it will grow until it reaches 18.5 centimeters, first find the difference of the new height by the old height.
So= 18.5-10= 8.5cm
8.5 is the centimeters it needs to grow to be 18.5 cm tall.
Then, divide it by the number of centimeters it will grow in one day, which is 0.5, to find the days it grew 8.5 cm.
So= 8.5÷0.5= 17
I hope this helps! Ask me if you're confused.
Examine the graph. What is the domain and range of the function represented by the graph? Select two answers: one for the domain and one for the range.
domain: (−∞,∞)
range: [−9,∞)
domain: (−2,4)
range: (−∞,∞)
range: (−2,4)
domain: [−9,∞)
domain: (−∞,∞)
range: [−9,∞)
=========================================
Explanation:
The graph extends forever to the left and right. This means any x value can be plugged into the function to get some y value output. The domain is the set of all real numbers in which we write (−∞,∞) when using interval notation. This is the interval from negative infinity to positive infinity. We exclude both endpoints as we cannot reach infinity.
The smallest y value possible is y = -9 as shown by the vertex point (1, -9) being the lowest point on the parabola. The range is the set of y values such that [tex]y \ge -9[/tex] so we say [−9,∞) in interval notation. This is the interval from -9 to infinity. The square bracket says to include -9 as part of the interval.
Answer: It is A, I did this question many times before.
(−∞,∞)
Step-by-step explanation:
It takes a copy machine 6 minutes to complete a job. How many minutes are left on a job if 2/3 of the job is now complete?
2/3 of the job was completed in 4 minutes. the job left will be completed in 2 minutes
Is there any video related to this or can you explain how to do it
Angles ECD and CEF add to 180
40+140 = 180
So that means we have EF parallel to CD (due to the same side interior angle theorem)
--------------
Angles BCE and ECD combine to 30+40 = 70, which is congruent to angle ABC = 70 as well.
In other words, this shows angle ABC = angle BCD. Both of these angles are alternate interior angles. Since they're congruent, they lead to AB being parallel to CD.
--------------
So far we have
AB || CD
CD || EF
Using the transitive property, we can then link the two statements to say AB || EF. Think of a chain where CD is the common link. We go from AB to CD, then from CD to EF. So we can just take a single path from AB to EF.
It's like saying "P --> Q and Q --> R, therefore P --> R"
Which of the following is an example of how a scientist might use a model?
A wrench is used to tighten a nut onto a piece of wood.
A microscope is used to magnify a group of cells on a slide.
The end of a slinky is moved vertically up and down to simulate a wave.
A stopwatch is used to time the rate of a chemical reaction.
Answer:
C
Step-by-step explanation:
The end of a slinky is moved vertically up and down to simulate a wave.
Kia was 200 m north of the Liebrary when he remembered he had to return some books to the library it took him to 200 seconds to do the round-trip which best describes cost round-trip
Answer:
His speed is 2 m/s
His velocity is 0 m/s
Step-by-step explanation:
I'll assume the question is
Kia was 200 m north of the Library when he remembered he had to return some books to the library it took him to 200 seconds to do the round-trip which best describes hist round-trip.
Kia's distance from the Library is 200 m
the round-trip took him 200 s
The total distance for the round trip = 200 x 2 = 400 m
His displacement for the round trip = 0 m (since he returns to his original position)
His speed = distance/time = 400/200 = 2 m/s
His velocity = displacement/time = 0/200 = 0 m/s
Diagram shows helicopter H flying towards an island P
When the helicopter is 100 m above sea level, the pilot sees a man fishing from boat Q. Given the angles of depression of the island P and boat Q from H are 22° and 61.5° respectively.
Calculate the distance, in M, of PQ
Please help me to explain :(
Answer:
193.21 m
Step-by-step explanation:
make a vertical line down from the helicopter that is 100m
tan 61.5 = 100/x x = 54.3 (distance from the point directly below helicopter to boat)
tan 22 = 100/x x = 247.51 (distance from the point directly below helicopter to the island
247.51 - 54.3 = 193.21 (distance from boat to island)
Question 20 of 33
What is the surface area of the sphere shown below with a radius of 7?
1.72
A. 495 sq. units
B. 65x sq, units
C. 457 sq. units
D. 1965 sq. units
SERNAT
Answer:
The surface area of the sphere 1s 615.75 sq. unit.
Step-by-step explanation:
The surface area of a sphere [tex]A_s[/tex] = 4·π·r²
Given that the radius of the sphere = 7, we have
The surface area of the sphere = 4 × π × 7^2 = 615.75 sq. unit
The surface area can also be derived from the volume of the sphere by differentiation as follows;
Volume of a sphere, V = 4/3·π·r³
(The volume of the sphere is 4/3·π·7³ = 1436.76 cube unit)
dV/dr = d(4/3·π·r³)/dr = 3×4/3·π·r² = 4·π·r²
The surface area of the sphere = 615.75 sq. unit.
Evaluate the function below at x=5. Then, enter your solution. f(x)=3(2)^x
Answer:
Solution: f(5) = 96
Step-by-step explanation:
f(5) = 3(2)^5
f(5) = 3 (2 × 2 × 2 × 2 × 2)
f(5) = 3 (32)
f(5) = 96
Jared ate1/4 of a loaf of bread. He cut the rest of the loaf
into1/8-loaf slices. How many slices of bread did he cut?
Answer:
He cut 6 slices
3/4 (leftover bread) equals to six eights (6/8)
Evaluate the following expression for x = 1 and y = -3.
3yºx+x-y
Answer:
8
Step-by-step explanation:
yº (in words, 'y to the power zero') is simply 1. We then have
3yºx+x-y = 3(1) + 2x - y = 3 + 2x - y.
Substituting 1 for x and -3 for y, we get the expression value:
3 + 2 - (-3) = 8
the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear is
Answer:
2/5Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Since we are to find the probability that 2 randomly selected points from Q,R,S,T and W are non-collinear
Non collinear points are points that doesn't lie on the same straight line. From the diagram given, the two point that are non colliear are (QR, QS, QT and QW making 4 2random non collinear points. Hence out expected number of outcome is 4.
For the total possible outcome, we are to find the number of ways we can randomly select two points from the 5 points given and this can be done using the combination rule.
This can therefore be done in 5C2 number of ways.
5C2 = 5!/(5-2)!2!
5C2 = 5!/3!2!
5C2 = 5*4*3*2*1/3*2*2
5C2 = 5*2
5C2 = 10 different ways
Hence the total possible outcome is 10
Therefore, the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear will be 4/10 = 2/5
The pepper plant has 2/3 as many fruits on it as the tomato plant has. The tomato plant has 9 fruits on it. How many fruits does the pepper plant have on it?
Answer:
The pepper plant has 15 fruits on it.
Step-by-step explanation:
Let the tomato plant have x plants. Let the pepper plant have y plants. Since the pepper plant has 2/3 more fruits on it than the tomato plant, we have that y - x = 2x/3
collecting like terms,
y = 2x/3 + x
The above is the number of plants the pepper plant has.
y = 2x/3 + x
y = (2x + 3x)/3
y = 5x/3
Since x = number of fruits on tomato plant = 9, then
y = 5x/3
y = 5(9)/3
y = 5 × 3
y = 15
Since y = number of fruits on pepper plant = 15
So, the pepper plant has 15 fruits on it.
The school's square parking lot has an
area of 3025 ft2. What is the length of each
side of the parking lot?
Answer:
The answer is 55ftStep-by-step explanation:
Since the school's parking lot is a square,
Area of a square = l²
where l is the length of one side
From the question
Area = 3025ft²
We have
3025 = l²
Find the square root of both sides
l = √3025
l = 55ft
The length of each side of the parking lot is 55ft
Hope this helps you
he greatest common factor of each term in the expression 60 a b minus 72 b is 12b. Which choice shows the expression written as a product?
Answer:
Hey there!
60ab-72b
12b(5a-6)
The GCF is 12b.
Let me know if this helps :)
Answer:
b
Step-by-step explanation:
PLEASE help me with this question! This is really urgent! No nonsense answers please, and answer with full solutions!
Answer:0.80
Step-by-step explanation:please i don't really know how to explain this i am very sorry
Which number line best shows how to solve −8 − (−2)? A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 2. A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to 2. A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 6. A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to 6.
Answer:
A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 6
Step-by-step explanation:
A number line is a straight line with numbers placed at equal intervals. Positive numbers are placed to the right of 0 and negative numbers are placed to the left of zero.
When a number (x) is added x unit is moved to the right while if a number (x) is subtracted x units is moved to the left.
To solve -8 - (-2) = -8 + 2
Given a A number line from negative 10 to 10 with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8 then since 2 is added, we move 2 units right from negative 8 to negative 6.
Answer:
C (3rd option)
Step-by-step explanation:
simplified the top one
Please please please please help
Answer:
m = 9
Step-by-step explanation:
8/12 = 6/m
8m = 72
m = 9
Temperature can be measured in two different common units: degrees Celsius and degrees Fahrenheit. fff represents the temperature in degrees Fahrenheit as a function of the temperature ccc in degrees Celsius. f=32+1.8cf=32+1.8cf, equals, 32, plus, 1, point, 8, c Water freezes at 000 degrees Celsius. What is the freezing temperature of water in degrees Fahrenheit?
Answer:
Water freezes at 32 °F.
