Answer:
B) 16%
Step-by-step explanation:
First, we need to standardize 58 and 66 inches using the following equation:
[tex]z=\frac{x-m}{s}[/tex]
Where m is the mean and s is the standard deviation, so 58 and 66 are equivalent to:
[tex]z=\frac{58-70}{4}=-3\\z=\frac{66-70}{4}=-1\\[/tex]
Then, the percent of men whose heights falls between 58 inches and 66 inches is calculated as:
P(58<z<66) = P(-3<z<-1)
So, using the normal table, we get:
P(-3<z<-1) = P(z<-1) - P(z<-3)
P(-3<z<-1) = 0.1587 - 0.0013
P(-3<z<-1) = 0.1574
Finally, 0.1574 rounded to the nearest whole percent is equal to 16%
The sample shows how many items 7 people checked out from a library (2,3,13,2,3,6,2) make a dot plot to show data. What is the range? What is the median?
Answer:
Range: 11
Median: 3
Step-by-step explanation:
2, 2, 2, 3, 3, 6, 13
Range: Highest value - Lowest value = final answer
Median: the middle number on the data set or the listed numbers.
Range: 13 - 2 = 11
Median: 3
find the coordinates of C' after a reflection across the line
y = 1 and then x = 2. Write in the form (a,b)
Part 5a
==============================================================
Explanation:
C is at (0,0). Ignore the other points.
Reflecting over y = 1 lands the point on (0,2) because we move 1 unit up to arrive at the line of reflection, and then we keep going one more unit (same direction) to complete the full reflection transformation. I'll call this point P.
Then we reflect point P over the line x = 2 to arrive at the location Q = (4,2). Note how we moved 2 units to the right to get to the line of reflection, and then keep moving the same direction 2 more units, then we have applied the operation of "reflect over the line x = 2"
So we have started at C = (0,0), moved to P = (0,2) and then finally arrived at the destination Q = (4,2). This is the location of C' as well.
All of this is shown in the diagram below.
Find the circumference of the circle with the given radius or diameter. (Use 3.14 for n.)
diameter = 26 ft
a. 530.66 ft
b. 81.64 ft
C.
2,122.64 ft
d.
40.82 ft
Please select the best answer from the choices provided
А
С
Mark this and return
Save and Exit
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Submit
Answer:
C =81.64 ft
Step-by-step explanation:
The diameter is 26
C = pi * d where d is the diameter
C = 3.14 *26
C =81.64 ft
Answer:
81.64 ft.
Step-by-step explanation:
Circumference = 2 x 3.14 x 13
50 POINTS!! Use these four expressions to make a hypothesis about the closure property of integers under each operation. Select yes or no for each operation.
Answer:
+ closed
- closed
* closed
÷ not closed
Step-by-step explanation:
When you add integers, you will always get an integer so it is closed under addition
When you subtract integers, you will always get an integer so it is closed under subtraction
When you multiply integers, you will always get an integer so it is closed under multiplication
When you divide integers, you will not always get an integer so it is not closed under division
1/5 = .2 which is not an integer
Answer:
1. Yes
2. Yes
3. Yes
4. No
Step-by-step explanation:
The expression -8 + 5 shows the sum of two integers. This expression has a value of -3. Because -3 is also an integer, the set of integers appears to be closed under addition.
The expression 9 − (-11) shows the difference of two integers. This expression has a value of 20. Because 20 is also an integer, the set of integers appears to be closed under subtraction.
The expression 3 · (-4) shows the product of two integers. This expression has a value of -12. Because -12 is an integer, the set of integers appears to be closed under multiplication.
The expression, -1 ÷ 6, shows the quotient of two integers. This expression has a value -1/6, Because -1/6 is not an integer, the set of integers is not closed under division.
How long would it take an investment to triple if it earns 1.5% interest, compounded monthly? Round your answer to the nearest hundredth.
Answer:
73.3 years
Step-by-step explanation:
Use the Compound Amount formula:
A = P(1 + r/n)^(n*t)
Here A = 3P, r = 0.015, n = 12, and so we have:
3 = (1 + 0.015/12)^(12*t). Find t (in years)
3 = (1.00125)^(12*t)
Take the log of both sides. We get:
log 3 = (12*t)(log 1.00125), or 0.47712 = (12*t)(5.425*10^(-4)
0.47712
Solving this for t, we get t = --------------------------- = 73.3 years
(12)(5.425*10^(-4))
help me!
solve for w
Answer:
w = 5 , w = -5
Step-by-step explanation:
w^2 = 25
Take the square root of each side
sqrt(w^2) = ± sqrt(25)
w = ±5
Answer:-5 or 5
Step-by-step explanation: square root both sides, 5x5=25 and -5x-5 could equal 25
from the top of a tree the angle of depression of a rock on the ground is 49 degrees. If the tree is 18.5 m tall, how far is the rock from the base of the tree?
Answer:
Step-by-step explanation:
If you were to sit in the very top of said tree and look directly straight, your line of vision would be parallel to the ground. The angle of depression is in between your line of vision and the rock. When you look down at the rock, your line of vision to the rock is a transversal between the 2 parallel lines. With this being the case, the angle of depression is alternate interior with the angle made on the ground from the rock to the top of the tree. See the illustration I attached below.
We are looking for the distance on the ground between the tree and the rock, which we will call x. The side opposite the reference angle is the height of the tree and the side adjacent to the reference angle is x. Side opposite over side adjacent is the tangent ratio. Therefore,
[tex]tan(49)=\frac{18.5}{x}[/tex] and
[tex]x=\frac{18.5}{tan(49)}[/tex] and on your calculator in degree mode, you will find that
x = 16.08 m
to change direction by making a to point turn you’ll need to use ___
a- your hazard lights
b- A four-way intersection
c-A parking lot
d- A driveway or alley on the right side of The Road
Evaluate........................................................................................... -|-7 + 3|
Answer:
-4
Step-by-step explanation:
-|-7 + 3|
-|-4|
-4
Answer:-4
Step-by-step explanation:
-|-7 + 3|
-|-4|
-4
For some reason my answer was deleted and looks as if the deleted user copied my explanation before it to be all deleted
Hope that helps
Brainliest question please help me solve this problem plz
Answer:
V is inside the circle.
Step-by-step explanation:
We work out the radius of the circle which is the distance between K (0,0) and (6, -4).
Radius = √[(6 - 0)^2 + (-4 - 0)^2]
= √(16 + 36)
= √52.
Now find the distance of point V from K(0,0):
= √((√2-0)^2 + (-7-0)^2]
= √(2 + 49)
= √51.
This is less than the radius of the circle, so V lies inside it.
Make x the subject of:
h = 4 ( x + 3y ) + 2
Step-by-step explanation:
h = 4(x+3y)+2
h = 4x + 12y + 2
4x = 14y
Answer:
(h-12y-2)/4
Step-by-step explanation:
h=4x+12y +2
h-12y-2=4x
x=(h-12y-2)/4
How many intersections are there of the graphs of the equations below? One-halfx + 5y = 6 3x + 30y = 36 none one two infinitely many
Answer:
infinitely many
Step-by-step explanation:
You have the system
(1/2)x + 5y = 6
3x + 30y = 36
Multiplying the first equation by 6 results in 3x + 30y = 36, which is exactly the same as the second equation. The two graphs coincide, and so there are infinitely many solutions to this system
Answer:
infinitely many
Step-by-step explanation:
1/2x + 5y = 6 ⇒ x+10y=123x + 30y = 36 ⇒ x+10y=12As we see, these are equal lines, they overlap, so there are infinitely many intersections
Will the following list have a large or small standard deviation?
7, 6, 5, 8, 9, 1, 0, 4, 3, 2
A) small
B) not enough information
C) large
Answer:
the standared deviation =2.87 so it is small
Step-by-step explanation:
to calculate the standard deviation of those numbers:
1- Work out the Mean (the simple average of the numbers)
(7+6+5+8+9+1+0+4+3+2)/10=4.5
Then for each number: subtract the Mean and square the result.
[(7 - 4.5)^2 + ... + (2 - 4.5)^2]/10=8.25
√8.25=2.87≅3
Answer:
A. Small
Step-by-step explanation:
There are 3 yellow marbles and 8 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a yellow marble? Write your answer as a fraction in simplest form.
Answer:
Step-by-step explanation:
The probability will be number of Yellows divided by the total number of Marbles
Here there are 3 yellows and 11 marbles in total
The probability is
3/11
Don't mention it
ABCE is a cyclic quadrilateral. AED and BCD are straight lines. AC= CD, angle ABC= 45 degrees and angle ACE = 20 degrees. Work out angle ECD
Answer:
∠ECD is 110°
Step-by-step explanation:
For a cyclic quadrilateral,
∠ABC + ∠AEC = 180°
Therefore ∠AEC = 180° - 45° = 135°
∠CAE + ∠ACE + ∠AEC = 180° (Angles in a triangle)
Therefore ∠CAE = 180 - 20 - 135 = 25°
∠CAE = ∠CDA = 25° (Base angles of isosceles triangle ΔCAD)
∠CED + ∠AEC = 180°(Sum of angles on a straight line)
Therefore ∠CED + 135° = 180°
∠CED = 180° - 135° = 45°
∠ECD + ∠CED + ∠CDA = 180°
Therefore ∠ECD = 180° - (∠CED + ∠CDA)
∠ECD = 180° - (45° + 25°) = 110°
Therefore, ∠ECD = 110°.
What is the product?
(5r+2)(3r-4)
O 151+
O 15% -8
O 15p+148-8
O 151²-145-8
Answer:
15r²-14r-8
Step-by-step explanation:
Use FOIL for this:
(5r+2)(3r-4)
First: 5r × 3r = 15r²
Outer: 5r × (-4) = -20r
Inner: 2 × 3r = 6r
Last: 2 × (-4) = -8
15r²-20r+6r-8=
15r²-14r-8
A box has the shape of a rectangular prism with height 28 cm. If the height is increased by 0.6 cm.
i have nothing to do so add my roblox acccount i might be inactive alot
user- dennisalvez1_alt
Answer:
The surface area of the box increase by 0.2P (the perimeter of the base multiplied by 0.2)
Step-by-step explanation:
we know that
The surface area of the rectangular prism is equal to where B is the area of the base P is the perimeter of the base h is the height of the prism If the height is increased by 0.2 then The surface area of the box increase by 0.2P (the perimeter of the base multiplied by 0.2)
Answer:
who even plays roblox anymore
Step-by-step explanation:
Find x if 8.4% of x is 420.The right answer will be marked as brainliest and the wrong answer will be reported
what is the range of this function?
Answer:
the range of this function is c
it is on the right hand side
What amount of discount does Ethan get.
Answer:
Step-by-step explanation:
Think about how many boxes he had bought, which totals to over £80 which means he had received an 8 percent discount hope this is right
The area of a rectangle is 252 cm², and the length is 3 less than 2 times the width. Find the dimensions of the rectangle.
Answer:
21cm, 12cm
Step-by-step explanation:
width=x cm
length=2x-3 cm
area= 252cm²
l*b= 252 cm²
(2x-3)(x)=252
2x²-3x= 252
this is how I did it
we need to find the nearest square of the number (it should be lesser than the area)
that is 225, whose square root is 15.
since there is a coefficient to the x², the value of x would be calculate like this 15- (2+1)= 15-3 = 12
x= 12
we can verify it too,
2*(12)² - 3*12=252
288-36=252
252=252
therefore width is 12 cm and width is 2*12-3= 24-3= 21 cm
verify;
21*12= 252
252=252
hence the dimensions are 12 am (width) and 21 cm(length).
Write the formula for
the function whose
parabola is narrow,
opens downward, has a
y-intercept of (0,-3.14),
and has NO x-intercepts.
Answer:
Equation of the parabola x² = -12.56 y
Step-by-step explanation:
Explanation:-
Given Y- intercept ( 0, -3.14)
Given Focus is ( 0 , -a) = ( 0, -3.14)
So a = 3.14 center C(0,0)
The graph of the parabola is downwards and the axis of the parabola is Y-axis.
Equation of the standard parabola x² = -4 a y
x² = -4 (3.14) y
x² = - 12.56 y
Conclusion:-
Equation of the parabola x² = -12.56 y
Which of the following is the inverse of the statement "If I do my homework,
then it will snow"?
O A. If I do not do my homework, then it will snow.
B. If it does not snow, then I will not do my homework.
C. If it snows, then I will do my homework.
D. If I do not do my homework, then it will not snow.
SUBMIT
Answer:
D. If I do not do my homework, then it will not snow.
Explanation:
An inverse of anything is the contrary or opposite of the given statement or idea or anything. And in a way, it is the same as the antonym, opposite or contradictory factor of the given point.
The given sentence/ proposition is-
if I do my homework, then it will snow.
In this sentence, the hypothesis of the homework getting done concludes that it will snow. So, for the inverse of this proposition, the positive nature of the sentence will be turned into a negative one.
Thus, the correct answer will be such that if the homework is not done, then it will also not snow. So, the correct answer is option D.
Answer: it’s D
Step-by-step explanation:
what is 5 over 4 equal -4 plus 1 over 4
Answer:
I think is -0.4375
Step-by-step explanation:
Which statements are true? Check all that apply.
Answer:
It's (A) and (D) like the person in the comments said. (B) is wrong.
Step-by-step explanation:
Answer:
j2nds 3 rd
Step-by-step explanation:
Let (-3,5) be a point on the terminal side of theta. Find the exact values of sin theta, secant theta, and tangent theta
Can someone please help me out with this? If possible, providing a diagram would be helpful!
Answer:
Cosθ = 0.5145
Sinθ = 0.8575
Secθ = 1.9436
tanθ = 1.667
Step-by-step explanation:
From the figure attached,
Point P(-3, 5) is on the terminal side and AB is the initial side of the angle PAB.
If m∠PAB = θ
AB = [tex]\sqrt{(3)^{2}+(5)^{2}}[/tex]
= [tex]\sqrt{34}[/tex]
= 5.831
Then Cosθ = [tex]\frac{AB}{AP}[/tex] = [tex]\frac{3}{5.831}[/tex]
Cosθ = 0.5145
Sinθ = [tex]\frac{PB}{AP}[/tex]
Sinθ = [tex]\frac{5}{5.831}[/tex]
Sinθ = 0.8575
Secθ = [tex]\frac{1}{\text{Cos}\theta}[/tex]
Secθ = [tex]\frac{1}{0.5145}[/tex]
Secθ = 1.944
tanθ = [tex]\frac{PB}{AB}[/tex]
tanθ = [tex]\frac{5}{3}[/tex]
tanθ = 1.667
4) The width of a rectangle is 8 inches. The length is 4 times its
width
What is the area of the rectangle?
A) 35 in
306 1/4 ft.
A) 43 3/4 ft.
C) 280 fta
D)
Answer:
Length = 4 * 8 = 32
Area = width * length = 8 * 32 = 256 square inches
Step-by-step explanation:
Answer:
A =256 inches^2
Step-by-step explanation:
width = 8 inches
length = 4 w = 4*8 = 32
A = l*w
A = 32*8
A =256 inches^2
PLEASE I MARK U THE BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Estimate the angle measure of the angle below
Answer:
20 degrees
I know that it is acute, meaning it is less than 90. It is also less than 45 degrees, and is in the middle of 45 to 0 degree interval, so I say it is 20 degrees.
PLEASE HELP WILL MARK BRAINLIEST
Answer:
324
Step-by-step explanation:
[tex]4p^2= \\\\4(9)^2= \\\\4\times (9\times 9)= \\\\4\times (81)= \\\\\boxed{324}[/tex]
Hope this helps!
Answer:
324
Step-by-step explanation:
If p=9, then the expression would be 4(9)². 9² is 81 and 81*4 is 324
The total surface area of a cube is 96 cm2. Find its volume.
(1) 256 cm3
(2) 64 cm3
(3) 16 cm3
4) 4 cm3
Answer:
The answer is B or number (2)64 cm3.
Hope that's work for you.Answer:
64 cm3
Step-by-step explanation:
trust i'm a doctor