Answer:
D
Step-by-step explanation:
What we need to do here is to calculate the required probability and convert to percentage
Firstly, we start by calculating the z-scores of the two boundary limits
Mathematically;
z-score = (x-mean)/SD
Form the question, we can see that the mean is 103 and the standard deviation is 11
so for 115, z-score would be
z-score = (115-103)/11 = 1.1
For 145, z-score would be
(145-103)/11 = 3.8
So the probability we want to calculate would be;
P(1.1<z<3.8)
We use the standard normal table for this
Mathematically;
P(1.1<z<3.8) = P(z<3.8) - P(z<1.1) = 0.13559
which to percentage is 13.559 %
The closest answer here is D
Which sequence can be generated from the formula f(x + 1) = One-half(f(x))?
Answer:
x, StartFraction x Over 2 EndFraction, StartFraction x Over 4 EndFraction, StartFraction x Over 8 EndFraction, ellipsis
Step-by-step explanation:
Answer:
C. x, x/2, x/4, x/8, ...
Step-by-step explanation:
I'm late but it's correct on edg, just did it myself. Hope it helps!
Solve for x. Remember to check for extraneous solutions. √(x-3) = √(x+2) + 1. Choices: a. 6 b. No solution c. 7 d. 9
PLS help ASAP I need help with 13
Answer:
335
Step-by-step explanation:
536/336 = x/210
We're assuming all horizontal lines are parallel. Let x be the distance between A and B
[tex]\dfrac{x}{536}=\dfrac{210}{336}[/tex]
Cross multiply
[tex]336x=536 \times 210[/tex]
Simplifying and solving for x gives us:
[tex]x=335[/tex]
Now, add the distance between A and B and the distance between B and C to find the distance between A and C:
[tex]335+536=871[/tex]
The answer is choice C. Let me know if you need any clarifications, thanks!
Given 5 colors to choose from, how many ways can we color the four unit squares of a $2\times 2$ board, given that two colorings are considered the same if one is a rotation of the other? (Note that we can use the same color for more than one square.)
Answer:
165
Step-by-step explanation:
we solve this by sum over the possible symmetry groups of the colorings.
1.If the board has 90 degree rotational symmetry, then all four squares are the same color. There are 5 such boards.
2. If the board has 180 degree rotational symmetry (but not 90 degree), then it has to be a 2-color checkerboard pattern. There are ⁵c₂=10 such boards.
All the remaining boards have no rotational symmetry. We can count these boards by taking all possible colorings, subtracting the ones counted above, and dividing by four (since each of these boards corresponds to four colorings). The result is (54−2×10−5)÷4=600÷4=150.
so, total number of boards= 5+10+150= 165.
3. A CD costs £9.50 in London and
cheaper, in British money, is the CD when bought in the US?
4. An MP3 player costs €20.46 in Spain and £12.60 in the UK. Which is
the cheaper in dollars, and by how much?
in Nou Delhi is 32860 rupees.
Step-by-step explanation:
Only Q4 has clear details
therefore, solving Question 4,
1 euro = $1.17
then, €20.46 =20.46×1.17 = $23.93.
1 pound =1.28 dollars.
then, £12.60 = 12.60×1.28 =$16.128
therefore, MP3 in pound is cheaper in dollar by $7.81.
A 6 inch-y’all plant grew 3/4 of an inch one week and twice as much the following week. How tall is the plant now?
Answer:
8 inches
Step-by-step explanation:
3/4+(3/4*2)=3/4+6/4=9/4=2 1/4
2 1/4+6=8 1/4=8.25
Answer: 8.25 inches
Step-by-step explanation:
Hi just need someone to check my amswers. Karana's mom bought her two items using a credit card. The first item cost $236, and the second item cost $384. Later, she returned both items to the store. What was the change in the amount owed to the credit card company from returning both items? A. -$148 B. $620 C. -$620 D. $148 i chose C (-620)
Answer:
$620
Step-by-step explanation:
ASAP!!! PLEASE help me solve this question!!!! I really need help...
Answer:
304(pi) g
Step-by-step explanation:
First we find the volume of the hollow ball. Then we find the mass using the volume and density.
Let R = exterior radius = 3 cm
Let r = interior radius = 2 cm
volume = exterior volume - interior volume
volume = (4/3)(pi)R^3 - (4/3)(pi)r^3
volume = (4/3)(pi)(R^3 - r^3)
volume = (4/3)(pi)(3^3 - 2^3) cm^3
volume = (4/3)(pi)(27 - 8) cm^3
volume = (76/3)pi cm^3
Now we use the density and the volume to find the mass.
density = mass/volume
mass = density * volume
mass = 12 g/cm^3 * (76/3)pi cm^3
mass = 304(pi) g
Answer: 304(pi) g
Answer:
m=(76π/3 )(12)=304πg
Step-by-step explanation:
volume of sphere=(4πr³)/3
V=4π(2)³/3=32π/3 of the interior
V of exterior=4π(3)³/3=36π
Volume of the whole metal =108π/332π/3=76π/3=25 1/3 π
m=V*D ( volume * density)=
m=(76π/3 )(12)=304πg
17.
The figure below shows a cylindrical water
tank with a circular opening at the top of
radius 14cm. What is the surface area of
the tank in m??
π=22/7
Radius-25cm
Height=1.5m
Hey there! I'm happy to help!
BOTTOM CIRCLE
First, let's find the area of the bottom circle. We will use 3.14 for pi.
A=3.14×r²
A=3.14×25²
A=3.14×625
A=1962.5
TOP CIRCLE WITH OPENING
The top circle has the same area as the bottom one but the area of the opening is subtracted from it. Let's find the area of this circular opening with a radius of 14 cm.
A=3.14×14²
A=3.14×196
A=615.44
Now, we subtract this from the area of the 25 cm radius circle.
1962.5-615.44=1347.06
RECTANGLE
A cylinder is made up of a rectangle wrapped around a top and bottom circle. One side of that rectangle is the height of the cylinder and the other side is the circumference of the circle, as the top side of the rectangle wraps completely around the circle.
Let's find the circumference of the circle.
C=3.14×d
Diameter is twice the radius, so diameter is 50 cm.
C=3.14×50
C=157
We multiply this by the height.
157×1.5=235.5
TOTAL SURFACE AREA
We now combine the areas of the bottom circle, top circle with opening, and rectangle to find the surface area.
1962.5+1347.06+235.5=3545.06
Therefore, the surface area of the tank is 3545.06 m².
Have a wonderful day! :D
Simplify: |x−y| if x is less than y
Answer:
y-x
Step-by-step explanation:
I assumed you meant that you wanted me to rewrite the expression without the absolute value signs. Since the absolute value of a number will be the same whichever way you place the numbers, you can rewrite |x-y| as y-x, as x is less than y.
if four boys spent 2.5 hrs to do a job, how many hrs will 5 boys spend
Answer:
2
Step-by-step explanation:
2.5/5
Answer:
2.5 hours
Step-by-step explanation:
2.5 hours = work time
4boys+5boys working together same job.
Ans: 2.5 hours.
Given: AB ∥ DC , m CB =62°, m∠DAB=104° Find: m∠DEA, m∠ADB
Answer:
m∠DEA = 62°
m∠ADB (arc) = 194°
Angle ∠ADB = 21°.
Step-by-step explanation:
The given information are;
[tex]AB\left | \right |DC[/tex], m CB (arc) = 62°, m∠DAB (arc) = 104°
arc∠BCD = 360° - 104° = 256°
m DC (arc) = arc∠BCD - arc CB = 256° - 62° (Sum of angles)
Therefore DC (arc) = 194°
m DA ≅ m CB = 62° (Parallel lines congruent arc theorem. Arc between two parallel lines)
m∠DEA = 1/2×(arc DA + arc CB) = 1/2×(62° + 62°) =62°
m∠DEA = 62°
Arc AB = m∠DAB (arc) - m DA = 104° - 62° = 42°
m∠ADB (arc) = 360 - m∠DAB (arc) - m CB (arc) (Sum of angles around a circle or point)
∴ m∠ADB (arc) = 360 - 104 - 62 = 194°
m∠ADB (arc) = 194°
Angle ADB = subtended by arc AB = ∴1/2×arc AB
Angle ∠ADB = 42/2 = 21°.
Angle = 21°
An angle measuring 5.25 radians is equal to which of the measures given below? Check all that apply. - 300 degrees 48’ - 16.49 degrees - 16degree 24’ -300.8 degree
Answer:
300.8 degrees
Step-by-step explanation:
in a circle full angle is [tex]2\pi[/tex] radian
In degrees the value of angle is 360.
Thus
[tex]2\pi[/tex] radian is same as 360 degrees
thus
[tex]2\pi[/tex] radian= 360 degrees
dviding both side by [tex]2\pi[/tex]
[tex]2\pi[/tex] / [tex]2\pi[/tex] radian= 360/[tex]2\pi[/tex] degrees
1 radian= 360/[tex]2\pi[/tex] degrees
multiply both side by 5.25
1*5.25 radian= (360/[tex]2\pi[/tex]) * 5.25 degrees
using value of [tex]\pi[/tex] as 3.14 we have
5.25 radian= (360/2*3.14) * 5.25 degrees = 300.8 degrees
Identify the type of observational study (cross-sectional, retrospective, or prospective) described below. A research company uses a device to record the viewing habits of about 25002500 households, and the data collected todaytoday will be used to determinenbsp the proportion of households tuned to a particular newsnews program.. Which type of observational study is described in the problem statement?
Answer:
Cross Sectional
Step-by-step explanation:
A cross sectional is one in which an association is developed between a risk factor or an outcome.
In the given question the device is used to record the viewing habits of about 2500 households, and the data collected today will be used to determine the proportion of households tuned to a particular news program. There will be risk factor in today's research with the future developed program which will the outcome.
For example there are 20 students in my class who cannot write. So I develop a program to help them write. But the next year there may not be any student who would require such help.So there's a risk factor associated with the outcome.
Cross sectional results are recorded in a two ways table showing do's and don'ts.
If the polynomial - 6 + 16 - 25x + 10 is divided by - 2x + k, the remainder comes out to be x + a, find k and a
Answer:
k=5
a= -5
Step-by-step explanation:
if the polynomial x^4-6x^3+16x^2-25x+10 is divided by x^2-2x+k the remainder comes out to be x+a,find k and a
Solution
x^4-6x^3+16x^2-25x+10 / x^2-2x+k = x-a
We have,
(4k-25+16-2k)x+[10-k(8-k)] = x+a
(2k+9)x + (10-8k+k^2)=x+a
2k-9=1
2k=1+9
2k=10
Divide both sides by 2
2k/2=10/2
k=5
And
10-8k+k^2=a
10-8(5)+(5^2)=a
10-40+25=a
-5=a
Therefore, a=-5
x^4-6x^3+16x^2-25x+10 divided by x^2-2x+5 = x-5
f(x)=x^2. What is g(x)?
Answer:
A
Step-by-step explanation:
With this one, you can just plug in 3 into each of the equations until the answer is 1.
When u plug 3 into x for solution A.
(1/3)×3=1
1^2=1
Answer:
[tex]\boxed{ \mathrm{A} }[/tex]
Step-by-step explanation:
The point is given (3, 1)
x = 3
y = 1
y = (1/3x)²
Plug x as 3 and y as 1.
The equation should be equal.
1 = (1/3(3))²
1 = 1²
1 = 1 True
Select the correct answer.
A system of linear equations is given by the graph.
-5
5
What is the system shown?
O A y = 2
y=-3 - 5
y=it - 5
y = - = - 5
D. y = - =
5
Answer:
b
Step-by-step explanation:
rise over run
Answer: b
Step-by-step explanation:
A group of 4 friends is playing cards. The deck has 70 cards. To start the game, the dealer makes a pile of 15 cards in the center. Then she deals the remaining cards one at a time to each player until all the cards are gone. What is the greatest number of cards any player will have after all the cards are dealt?
Answer:
14 cards
Step-by-step explanation:
70 - 15 = 55
55/4 = 13.75
Therefore, the highest number of cards someone is able to get is 14.
Answer:
14
Step-by-step explanation:
add!
If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to (StartFraction r Over s EndFraction) (6)? StartFraction 3 (6) minus 1 Over 2 (6) + 1 EndFraction StartFraction (6) Over 2 (6) + 1 EndFraction StartFraction 36 minus 1 Over 26 + 1 EndFraction StartFraction (6) minus 1 Over (6) + 1 EndFraction
Answer:
[tex]\dfrac{3(6)-1}{2(6)+1}[/tex]
Step-by-step explanation:
For ...
r(x) = 3x -1 s(x) = 2x +1The expression (r/s)(6) is ...
[tex]\left(\dfrac{r}{s}\right)(6) = \left.\dfrac{3x-1}{2x+1}\right|_{x=6}=\boxed{\dfrac{3(6)-1}{2(6)+1}}[/tex]
Answer:
A
Step-by-step explanation:
In a clinical trial, 780 participants suffering from high blood pressure were randomly assigned to one of three groups. Over a one-month period, the first group received a low dosage of an experimental drug, the second group received a high dosage of the drug, and the third group received a placebo. The diastolic blood pressure of each participant was measured at the beginning and at the end of the period and the change in blood pressure was recorded. Identify the levels of the factor.
Answer:
Levers of the factor are High dosage , Low dosage and Placebo.
Step-by-step explanation:
Levels of the factor refer to the number of variations of factor that are used in the experiment. The effect of the factor can be evaluated by these levels.
Here the factor is the experimental drug.
The first group received a low dosage of an experimental drug,
The second group received a high dosage of the drug,
The third group received a placebo.
It can be observed from above three statements that there are 3 levels of factor. These three levels can be used to assess the effect of the experimental drug on 780 participants suffering from high blood pressure.
The factor experimental drug has three levels that are:
High dosage
Low dosage
Placebo
Could someone explain to me how to solve this? What’s a real number? And how do I find x
Answer:
The domain is all real numbers but x ≠15/14
Step-by-step explanation:
The domain is the numbers that are allowed for x
f(x) = 50 / (14x-15)
The denominator is not allowed to go to zero or we are dividing by zero
14x-15 cannot equal zero
14x-15≠0
Add 15 to each side
14x ≠15
Divide by 14
x ≠15/14
The domain is all real numbers but x ≠15/14
Real numbers are those that can be shown on a number line.
Answer:
[tex]\boxed{\frac{15}{14} }[/tex]
Step-by-step explanation:
The domain of a function is the set of all possible values for x.
If the denominator of the function equals 0, then the output is undefined.
Put up an equation to solve for x.
14x - 15 = 0
Add 15 to both the sides.
14x = 15
Divide both sides by 14.
[tex]\displaystyle \frac{14x}{14} =\frac{15}{14}[/tex]
x = [tex]\displaystyle \frac{15}{14}[/tex]
Which sequence of transformations creates a similar but not congruent triangle?
A. Dilation and reflection
B. Reflection and rotation
C. Reflection and translation
D. Translation and rotation
Answer:
A. Dilation and reflectionStep-by-step explanation:
There are the same angles in similar triangles but sides not necessarily.
In congruent triangles there are the same angles and the same sides.
Reflection, rotation or translation changes only position of triangle or mirrors it. Doesn't change the size, so the created triangle is congruent.
please answers quick ,whats an inequality?
Answer:
Step-by-step explanation:
inequality is a equation with |x|
a inequality equation is like this..
|x|>7
..........,..................
Answer:
E. x = -1.
Step-by-step explanation:
The rational expression will only be undefined when a number is divided by 0. In this case, the expression will be undefined when the denominator equals 0. So, when x + 1 = 0.
x + 1 = 0
x = -1
E. -1 is your answer.
Hope this helps!
Answer:
D. -2 and B. -5
Step-by-step explanation: you can't have a negatie denominator/
given ad||gj refer to the figure and provide an appropriate name for ehc and chj
a. alternate interior angles
b. supplementary angles
c. complementary angles
d. alternate exterior angles
An appropriate name for EHC and CHJ is alternate interior angles.
What is alternate interior angles?Alternate interior angles are the angles formed when a transversal intersects coplanar strains. They lie on the inner side of the parallel lines but on the opposite facets of the transversal.
Do alternate interior angles add up to 180?Except the exchange indoors vertical angles are 90° then they may no longer upload as much as 180°. If the exchange indoors angles are obtuse, then adding them collectively will bring about quite a number higher than 180°. consequently, if the alternate interior angles are acute, then including them together will bring about various beneath 180°.
Learn more about alternate interior angles here https://brainly.com/question/20344743
#SPJ2
Find the ratio of x to y. 2/3 4/9 1
Answer:
[tex]\frac{x}{y}[/tex] = [tex]\frac{4}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{3}[/tex] = [tex]\frac{5}{y}[/tex]
This can be expressed in 2 parts as
[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3x = 10 ( divide both sides by 3 )
x = [tex]\frac{10}{3}[/tex]
and
[tex]\frac{2}{3}[/tex] = [tex]\frac{5}{y}[/tex] ( cross- multiply )
2y = 15 ( divide both sides by 2 )
y = [tex]\frac{15}{2}[/tex]
Thus
[tex]\frac{x}{y}[/tex] = [tex]\frac{\frac{10}{3} }{\frac{15}{2} }[/tex] = [tex]\frac{10}{3}[/tex] × [tex]\frac{2}{15}[/tex] ( cancel 10 and 15 by 5 )
[tex]\frac{x}{y}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{4}{9}[/tex]
Answer:
= 4/9
Step-by-step explanation:
2/3 to the averall of 2/3 ans we got 5/y
sp ab- x/5 = 4/9
Find the value of
x in the triangle shown below.
Answer:
69.7° (corrected to 3 significant figures)
Step-by-step explanation:
Use the cosine formula to solve for x.
[tex]cosA=\frac{(b^2+c^2-a^2)}{2bc} \\cos x =(3.5^2+ 3.5^2 -4^2)}/[2(3.5)(3.5)]cos x =0.346939\\x=69.7[/tex]
Given that
[tex]v = \pi {r}^{2} h[/tex]
Make h the subject of the formula. Evaluate h when
[tex]\pi = 22 \div 7[/tex]
[tex]r = 7[/tex]
[tex]v = 616[/tex]
Answer:
h = 4Step-by-step explanation:
v = πr²h
To make h the subject divide both sides by πr²
So we have
[tex]h = \frac{v}{\pi {r}^{2} } [/tex]
when
π = 22/7
r = 7
v = 616
We have h as
[tex]h = \frac{616}{ \frac{22}{7} \times {7}^{2} } = \frac{616}{ \frac{22}{7} \times 49} [/tex]
[tex]h = \frac{616}{22 \times 7} = \frac{616}{154} [/tex]
h = 4Hope this helps you
34=3(y+6)-8 Please Explain.
Answer:
y =8
Step-by-step explanation:
34=3(y+6)-8
Add 8 to each side
34+8=3(y+6)-8+8
42 =3(y+6)
Divide by 3
42/3 = 3(y+6)/3
14 = y+6
Subtract 6 from each side
14-6 = y+6-6
8 = y
Answer:
y = 8
Step-by-step explanation:
Add 8 to both sides.
42=3(y+6)
Divide 3 from both sides.
14=y+6
Subtract 6 from both sides.
8 = y
A professor is grading the final exam. He notices that the mean test score is 61, and the standard deviation is 10. The test scores were normally distributed. if there were 450 students in the data sample, how many would have a test score between 61 and 71? *Round your answer to the nearest full value.
Answer:
66666699999
Step-by-step explanation: