Answer: The percentage of male students who are between 145 cm and 170 cm = 98.71%
Step-by-step explanation:
Let x denotes the height of male students.
As per given,
[tex]\mu=158,\sigma=5[/tex]
The probability of male students who are between 145 cm and 170 cm
= [tex]P(145<X<170)[/tex]
[tex]=P(\dfrac{145-158}{5}<\dfrac{X-\mu}{\sigma}<\dfrac{170-158}{5})\\\\=P(-2.6<Z<2.4)\\\\=P(Z<2.4)-P(Z<-2.6)\\\\=P(Z<2.4)-(1-P(2.6))\\\\=0.9918-(1-0.9953)\\\\= $$0.9871[/tex]
Hence, the percentage of male students who are between 145 cm and 170 cm = 98.71%
Plot the coordinates of the point:
(a) whose co-ordinate is -5 and which lies on y axis.
(b) Which lies on x and y-axis both.
(c) whose abscissa is 3 and which lies on x-axis in cartasian plance.
Answer:
First, a regular point is written as a coordinate pair (x, y).
If the point lies on the x-axis, then we have y = 0
if the point lies on the y-axis, then x = 0
And x is the abscissa, y is the ordinate.
The points will be graphed at the end.
a)
Ordinate = -5, then y = -5
and it ies on the y-axis, then x = 0
So this point is represented by A = (0, -5)
b)
Lies on the y-axis and in the x-axis, then x = 0 and y = 0, so the point is represented by B = (0, 0)
c)
The abscissa is 3, so x = 3, and the point lies on the x-axis, so y = 0
Then this point is represented by C = (3, 0)
The graph with the 3 points are:
ABC is a right angled triangle
AC=6cm
AB=20cm
Calculate length of BC
Give answer to 1 decimal place
Answer:
19.1cm
Step-by-step explanation:
AB=20
AC=6
BC=?
So,by Pythagoras Theorem:-
AC2=AB2+BC2
Therefore:-
AB2-AC2=BC2
400-36=BC2
√364=BC2
19.1=BC2
Answer:
19.1 cm
I don't have a picture so I hope this is what you mean/
Step-by-step explanation:
AB²-AC²=BC²
20²-6²=BC²
400-36=BC²
364=BC²
√364=√BC²
BC≈19.1
Assignment due soon! Need help
The growth rate of some species of bamboo is 0.0000237 miles per hour. write this in scientific notation
Answer:
2.37 x 10 ^ -5
Step-by-step explanation:
Which is equal to –214°? Negative StartFraction 107 pi Over 180 EndFraction radians Negative StartFraction 107 pi Over 90 EndFraction radians Negative StartFraction 107 pi Over 50 EndFraction radians Negative StartFraction 107 pi Over 45 EndFractionradians
Answer: 1. equal to - having the requisite qualities for; "equal to the task"; "the work isn't up to the standard I require" adequate to, up to, capable.
Step-by-step explanation:Glad Too Help :))
Answer:
B
Step-by-step explanation:
The polynomial x3 + 8 is equal to
Answer:
The polynomial x3 + 8 is equal to (x + 2)(x2 – 2x + 4)
Step-by-step explain
A group of people were asked how many people live in their household. What percent of these people have exactly 2 people in their household?
Answer:
16%
Step-by-step explanation:
Given
[tex]\begin{array}{cccccc}{Size & {1} & {2} & {3} & {4} & {5} \ \\ {f} & {3} & {4} & {6} & {7} & {5} \ \end{array}[/tex]
Required
The percentage of household with 2 people
First, calculate the total frequency
[tex]Total = 3 + 4 +6+7+5[/tex]
[tex]Total = 25[/tex]
The frequency of household with 2 people is:
[tex]f(2) = 4[/tex]
So, the percentage is calculated as:
[tex]\% =\frac{f(2)}{Total} * 100\%[/tex]
[tex]\% =\frac{4}{25} * 100\%[/tex]
[tex]\% =\frac{400}{25}\%[/tex]
[tex]\% =16\%[/tex]
Players on a volleyball team wear jerseys numbered 1 through 9. In how many different ways could you arrange 5 of the players?
a
15,120
b
120
c
362,880
d
24
Answer:
Total number of arrangements for 5 players = 15,120 arrangements
Step-by-step explanation:
Given:
Number given from 1 to 9
So,
Total number for jerseys = 9
Find:
Total number of arrangements for 5 players
Computation:
Total number of arrangements for 5 players = 9! / [9! - 5!]
Total number of arrangements for 5 players = 9 x 8 x 7 x 6 x 5
Total number of arrangements for 5 players = 15,120 arrangements
(Four-fifths + three-fifths) + 3.5 times 5
Answer:
18.9
Step-by-step explanation:
First, lets solve for the fractions. You can divide the fractions from the top, to their bottom (4 divided by 5, 3 divided by 5), in this case, you get 1.4. Now you have to rewrite the problem: 1.4+3.5x5. You solve it, and get 18.9.
Answer:
18.9
Hope that this helps!
Given that
a
= 7 cm and
b
= 8 cm, work out the area of the triangle.
Answer:
28
Step-by-step explanation:
1/2 x base x height = Area
a = base
b = height
1/2 x 7 x 8 = 28
Answer:
28
Step-by-step explanation:
1/2x 7 x 8
answer is 28
Bye
:-)
What's the circumference of a circle with a diameter of 18 inches? Use 3.14 for pi, do not round the answer.
Using the information given on the
diagram, which congruence postulate
or theorem can be used to prove
PSR = RQP?
Step-by-step explanation:
ps||pr are parallel
pQR=Rsp
What is the slope of the line? 4x-1=3y+54x−1=3y+54, x, minus, 1, equals, 3, y, plus, 5 Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac23 3 2 start fraction, 2, divided by, 3, end fraction (Choice B) B \dfrac34 4 3 start fraction, 3, divided by, 4, end fraction (Choice C) C \dfrac32 2 3 start fraction, 3, divided by, 2, end fraction (Choice D) D \dfrac43 3 4
Answer:
Slope of the line, m = 4/3
Step-by-step explanation:
Given;
4x - 1 = 3y + 5
Make y the subject
4x - 1 = 3y + 5
4x - 3y = 5 + 1
4x - 3y = 6
-3y = 6 - 4x
Divide both sides by -3
y = (6 - 4x) / -3
y = -2 + 4/3x
Slope intercept form is given by
y = mx + b
Where,
m = slope
y = - 2 + 4/3x
m = 4/3
Slope of the line, m = 4/3
Answer:
Above answer is INCORRECT.
The CORRECT answer is 2/3
Step-by-step explanation:
Please help me with this
Answer:
Step-by-step explanation:
Gabriela has solved incorrectly. 5 should distributed to 9x & (-8) and 4 should be distributed between x & 2
5(9x - 8) = 4*(x + 2)
5*9x - 5*8 = 4*x + 4*2
45x - 40 = 4x + 8
Subtract 4x from both sides
45x - 4x - 40 = 8
41x - 40 = 8
Add 40 to both sides
41x = 8 + 40
41x = 48
x = 48/41
The combination locks on the lockers at Hillside School have numbers from 0 through 39 (inclusive). A locker combination consists of three different numbers, where the order matters. Because of the way the locks are manufactured, all three numbers are even or all three numbers are odd. How many combinations are possible
Answer:
13680
Step-by-step explanation:
Since we have number from 0 to 39 inclusive, there are 40 number all together.
Now there are 20 odd numbers and 20 even numbers since half of the the numbers are odd and half even.
Now, since we require 3 numbers for our locker combination which are either all even or all odd, the number of ways we can arrange 3 numbers from 20 when the order matters is ²⁰P₃ = 6480 ways for either odd or even numbers. So, for both odd and even numbers, we have the sum of even and odd number of ways ²⁰P₃ + ²⁰P₃ = 2 × ²⁰P₃ = 2 × 6480 = 13680. So, we have 13680 combinations of locks.
A telephone technician charges $45.00
per hour plus a $50.00 service charge.
Your father's firm hires him to hook up
his company's phone system.
Here is the cost function used to
represent this situation in terms of the
number of hours worked:
c(h) = 45h + 50
Find the total charges if it takes the telephone 4.5 hours to complete the task
If c=8, what is the value of 4c+(4-3)
Answer:
[tex]33[/tex]
Step-by-step explanation:
[tex]c = 8 [/tex]
Substitute 8 in the equation where c is.
[tex]4(8) + 4 - 3 \\ 32 + 1 \\ = 33[/tex]
find the time in which a train of length 132 M will cross and electric post if the speed of the train be to 6.4 km /hour
Answer:
It will take the train 1.2375 minutes to pass the tunnel
Step-by-step explanation:
Mathematically, we know that ;
time = distance/ speed
The distance here is the length of the train which is 132 m ; we can convert this to km by dividing by 1000
We have this as 132/1000 = 0.132 km
So, we have the time as;
0.132 km/6.4 km/hr = 0.020625 hr
Mathematically, we know that 60 minutes make an hour;
so we have
0.020625 * 60 = 1.2375 minutes
is (0,0) a solution to x + y > 5 , 2x - y < 4
Answer:
(0,0) is not a solution to x + y > 5 , but it is a solution for 2x - y < 4
Step-by-step explanation:
Substitute x=0,y=0
0>5 (not possible)
0<4(possible)
what is the measure of angle dcu
I need more info
Step-by-step explanation:
I can help If i had more info
Which best describes angle 3 and angle 7?
Answer:
A) corresponding
Step-by-step explanation:
Consider the following sequence -3; 2; 7; 12 Find an expression for the term Which term of the sequence with equal 77"}
Answer: n77 into below
Step-by-step explanation:
N77 value = starting point + (77-1) x (5)
= -3 + (5)x76
U can do the calcs from here yeah?
Need this in now it’s 15 points
What is the total surface area of the square pyramid?
Answer:
D
Step-by-step explanation:
[tex]A_1 = a^2 = 14^2 = 196[/tex]
[tex]A_2 = 4(\frac{b * h}{2}) = 4(\frac{14 * 12}{2}) = 4(\frac{168}{2}) = 4 * 84 = 336[/tex]
[tex]SA = A_1 + A_2 = 196 + 336 = 532\ cm^2[/tex]
Simplify this expression.
[tex]2\sqrt5(13+\sqrt2)[/tex]
Step-by-step explanation:
everything can be found in the picture
Answer:
[tex]\small{\boxed{\tt{2 \sqrt{5} (13 + \sqrt{2} = 26 \sqrt{5} + 2 \sqrt{10} = 64.3}}}[/tex]
Step-by-step explanation:
Given : Expression
[tex]2 \sqrt{5} (13 + \sqrt{2} )[/tex]
To find : Simplify the expression
Solution :
Step 1 - Write the expression
[tex]2 \sqrt{5} (13 + \sqrt{2} )[/tex]
Step 2 - Apply distributive property,
[tex]a(b + c) = a × b + a \times c[/tex]
[tex] = 2 \sqrt{5} \times 13 + 2 \sqrt{5 } \times \sqrt{2} [/tex]
Step 3 - Apply square root property,
[tex] \sqrt{x} \times \sqrt{y} = \sqrt{xy} [/tex]
[tex] = 26 \sqrt{5} + 2 \sqrt{10} [/tex]
or to simplify more substitute the value of [tex] \sqrt{5} = 2.23[/tex] and [tex] \sqrt{10} = 3.16[/tex]
Simplification-
[tex] = 26(2.23) + 2(3.16)[/tex]
[tex]= 57.98 + 6.32[/tex]
[tex]= 64.3[/tex]the first person to solve tgis will receive brainliest. 2x-3=8
[tex]\longrightarrow{\green{x\:=5.5}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]2x - 3 = 8 \\ \\⇝2x = 8 + 3 \\ \\⇝2x = 11 \\ \\⇝x = \frac{11}{2} \\ \\⇝x = 5.5[/tex]
To verify:-[tex]2x - 3 = 8 \\ \\ ➪ \: 2 \times 5.5 - 3 = 8 \\ \\➪ \: 11 - 3 = 8 \\ \\➪ \: 8 = 8 \\ \\ ➪ \: L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
the angle of elevation from point A to the top of the press box is 49 digree. if point A is 400ft from the base of press box, how high is the press box?
Answer:
Press box is 460.15 feet high.
Step-by-step explanation:
From the picture attached,
Point A is 400 feet away from the press box.
Angle of elevation of point C is 49°.
By applying tangent rule in the given right triangle,
tan(49°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(49°) = [tex]\frac{BC}{AB}[/tex]
BC = ABtan(49°)
BC = 400[tan(49°)]
BC = 460.15 ft
Therefore, press box is 460.15 feet high.
I’m not really sure what it’s would be?
angle y = 130°
___________________________
if a dog drinks 8 quart of water a day, how many gallons does the dog drink in 3 days
Answer:
6 gallons
Step-by-step explanation:
There are 4 quarts in gallons, so the dog drinks 2 gallons a day.
When we multiply 2 and 3, we would get 6.
So the dog drinks 6 gallons in 3 days (I don't know about you, but that's a lot of water)
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Have a great summer :)
Answer:
The dog will drink 6 gallons.
Step-by-step explanation:
Every 8 quarts is 2 gallons.
Multiply 2 by 3, you'll get 6.
that's how much gallons a dog drinks in 3 days.
A map has a scale of 2 inches : 25 miles. Chandra uses the map to find the distance from the zoo to her house. The distance on the map is 5 inches. How many miles away is the zoo from Chandra’s house?
Step-by-step explanation:
Turn the ratio into a fraction
2in /25 mi
You want to have miles so you can flip the fraction and mutiply to cancel out the inches
(25mi / 2in) x 5in = (25 mi x 5in) / 2in