A square pyramid has a base that measures 8 inches on each side. The
height of the pyramid is 11.5 inches. What is the volume of the pyramid?
Answer as numbers only, round to the tenths place
Answer:
245 1/3
Step-by-step explanation:
rationalize i)✓2 by✓3
ii)5✓2 by2✓3
iii)15 by ✓5
iv)✓5 by 5✓6
plz solve in notebook
Step-by-step explanation:
[tex]i) \frac{ \sqrt{2} }{ \sqrt{3} } [/tex]
[tex] \frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{ 3} } [/tex]
[tex] \frac{ \sqrt{6} }{3} [/tex]
[tex]ii) \frac{5 \sqrt{2} }{2 \sqrt{3} } [/tex]
[tex] \frac{5\sqrt{2} }{ 2\sqrt{3} } [/tex]
[tex] \frac{5 \sqrt{2} }{2 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]
[tex] \frac{5 \sqrt{6} }{6} [/tex]
[tex] iii)\frac{15}{ \sqrt{5} } [/tex]
[tex] \frac{15}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } [/tex]
[tex] \frac{15 \sqrt{5} }{5} [/tex]
[tex]3 \sqrt{5} [/tex]
[tex] iv)\frac{ \sqrt{5} }{5 \sqrt{6} } [/tex]
[tex] \frac{ \sqrt{5} }{ 5\sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } [/tex]
[tex] \frac{ \sqrt{30} }{ 30} [/tex]
help meeee:eeeeeeeeee:(
Answer:
A. 92 cm
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
A, 92
Step-by-step explanation:
you can rewrite 16:9 as 16/9
16/9=x/52
x=92cm
. A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via email. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected
Answer:
This spyware is detected 66% of the time.
Step-by-step explanation:
We have these following percentages:
70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.
30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.
What percentage of times is this spyware detected
Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So
[tex]0.6*0.7 + 0.8*0.3 = 0.42 + 0.24 = 0.66[/tex]
This spyware is detected 66% of the time.
Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses in a country was about five. (a) Find the variance and the standard deviation. Interpret the results. (b) Find the probability that at most three businesses will file bankruptcy in any given hour.
Answer:
Variance = 5
Standard deviation = 2.236
0.2650257
Step-by-step explanation:
For a Poisson distribution is σ² = μ.
Given that:
Mean , μ of bankruptcies files per hour = 5
μ = 5
For a Poisson distribution :
P(x = x) = (μ^x * e^-μ) / x!
The Variance and standard deviation :
Variance : σ² = μ = 5
Standard deviation = sqrt(variance) = sqrt(5) = 2.236
B.) Find the probability that at most three businesses will file bankruptcy in any given hour.
P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)
P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379
P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897
P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243
P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738
0.0067379 + 0.0336897 + 0.0842243 + 0.1403738
= 0.2650257
Using the Poisson distribution, it is found that:
a) The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.
b) 0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval, which is the same as the variance.In this problem, the mean is of [tex]\mu = 5[/tex].
Item a:
The variance is the same as the mean, of 5.The standard deviation is the square root of the variance, hence [tex]\sqrt{5} = 2.24[/tex]
The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.
Item b:
This probability is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-5}(5)^{0}}{(0)!} = 0.0067[/tex]
[tex]P(X = 1) = \frac{e^{-5}(5)^{1}}{(1)!} = 0.0337[/tex]
[tex]P(X = 2) = \frac{e^{-5}(5)^{2}}{(2)!} = 0.0842[/tex]
[tex]P(X = 3) = \frac{e^{-5}(5)^{3}}{(3)!} = 0.1404[/tex]
Then:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0067 + 0.0337 + 0.0842 + 0.1404 = 0.265[/tex]
0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.
A similar problem is given at https://brainly.com/question/16912674
Find the slope of the line going through the points (-2,-3) and (-1,9)
PLS HELP PLS PLS!!!!!!
Answer:
m > 1
Step-by-step explanation:
Minus 6 from both side
m = 1
Please solve -6+7x=50
Answer:
x = 8
Step-by-step explanation:
Let's solve your equation step-by-step.
−6+7x=50
Step 1: Simplify both sides of the equation.
7x−6=50
Step 2: Add 6 to both sides.
7x−6+6=50+6
7x=56
Step 3: Divide both sides by 7.
7x/7 = 56/7
x=8
have a wonderful day
Solve the inequality 2x – 15<_5
Answer:
you write the inequality in a hazy way, so i got to solve all the possibilities of it , choose the one u need.
Step-by-step explanation:
[tex]case \: 1 \\ 2x - 15 \leqslant 5 \\ 2x \leqslant 20 \\ x \leqslant 10 \\ case \: 2 \\ 2x - 15 < - 5 \\ 2x < 10 \\ x < 5 \\ [/tex]
[tex]case \: 3 \\ 2x - 5 < 5 \\ 2x < 10 \\ x < 5[/tex]
given tu ij find the length of hj
that doesnt make sense
consider the inequalities
y 2x + 3, which is true?
a. the line would be solid with shading above
b. the line with be duchess with shading above
c. the line would be solid with shading below
d. none of this
please answer this guys:-(
Answer:
The line with be duchess with shading below.
None of the above
Step-by-step explanation:
The correct inequality expression is;
y < 2x+3
Note that the inequality sign between the expressions is the one that will determine the nature of the line.
Since the sign is not containing the "equal to" sign this means that the line will be broken(duchess).
Since it is "less than", the shading will be below the line.
Considering the given option, None of the option is correct
For the inequalities
[tex]\rm\bold{ y < 2x+3 ......(1)} \\\\\rm \bold{y > 2x +3....(2)}}[/tex]
For Case (1)
Option d will be chosen as correct option
hence " none of these" will be the answer
For Case (2)
Option b will be chosen as correct option
hence " The line with be duchess with shading above " will be the answer
Since the sign of the inequality here is not clear let us consider 2 cases that are represented by equation (1) and equation (2)
[tex]\rm y < 2x+3 ......(1) \\y > 2x +3....(2)[/tex]
Considering case 1 as represented by equation (1)
The y values are always less than the expression for the line 2x+3 hence points on the line [tex]\rm y = 2x +3[/tex] will not be included for this inequality hence the line will be duchess with area below the line.
So in this case option d will be chosen as correct option
hence " none of these" will be the answer
Similarly now considering case 2 as represented by equation (2)
The y values are always more than the expression for the line 2x+3 hence
points on the line [tex]\rm y = 2x +3[/tex] will not be included for this inequality hence the line will be duchess with area above the line.
So in this case option b will be correct.
Note :
The lines will be solid when the inequalities in equation (1) and (2) also include equal to sign.
That is for lines to be solid
the inequalities will be of type
[tex]\rm y \leq 2x+3 \\y \geq 2x +3[/tex]
For more information please refer to the link below
https://brainly.com/question/11897796
Solve: 13x+4.............X=2
Add parentheses to make this equation true 7 + 8 - 2 x 3 = 25
PLEASE I NEED IT ASAP find the value of t if t - 7 = 12
what is 2/10 as a decimal number
Answer:
0.2 is the answer .
Hope it helps..
(2 X + 5) and (4 X - 3)
Answer: 8x+2
explanation:
i just solved it
Answer:
8x - 15
Step-by-step explanation:
(2x + 5)(4x -3)
distribute ur numbers
2x * 4x = 8x
5 * -3 = -15
now ur left with 8x - 15 and that is ur answer
Nathan's family took a road trip to Mount Rushmore. Nathan fell asleep 9% of the
way through the trip. If Nathan fell asleep after they had travelled 54 miles, what was
the total length of the trip?
Answer:
600
Step-by-step explanation:
x^2+4x+10 polynomial
Answer:
It is not a polynomial. It is a trinomial. Polynomials have 4 or more terms
Answer:
it is a not polynomial.
Step-by-step explanation:
In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables,
Find the perimeter of the triangle whose vertices are the following, specified points in the plane.
(-10,-3), (1,4) and (-1,7)
Given:
The vertices of the triangle are (-10,-3), (1,4) and (-1,7).
To find:
The perimeter of the triangle.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let the vertices of the triangle are A(-10,-3), B(1,4) and C(-1,7).
Using distance formula, we get
[tex]AB=\sqrt{(1-(-10))^2+(4-(-3))^2}[/tex]
[tex]AB=\sqrt{(1+10)^2+(4+3)^2}[/tex]
[tex]AB=\sqrt{(11)^2+(7)^2}[/tex]
[tex]AB=\sqrt{121+49}[/tex]
[tex]AB=\sqrt{170}[/tex]
Similarly,
[tex]BC=\sqrt{\left(-1-1\right)^2+\left(7-4\right)^2}=\sqrt{13}[/tex]
[tex]AC=\sqrt{\left(-1-\left(-10\right)\right)^2+\left(7-\left(-3\right)\right)^2} =\sqrt{181}[/tex]
Now, the perimeter of the triangle is
[tex]Perimeter=AB+BC+AC[/tex]
[tex]Perimeter=\sqrt{170}+\sqrt{13}+\sqrt{181}[/tex]
[tex]Perimeter\approx 13.038+3.606+13.454[/tex]
[tex]Perimeter=30.098[/tex]
Therefore, the perimeter of the triangle is 30.098 units.
In a triangle, the largest angle is always opposite the (Blank) and the smallest angle is always opposite the (Blank) .
Please fill out where i put blank please its due in 29 minutes
Answer:
the largest angle is opposite the largest side and the shortest angle is opposite the shortest side
Step-by-step explanation:
From the property of triangles, we know In a triangle, the largest angle is always opposite the largest side and the smallest angle is always opposite the smallest side.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Triangles' characteristic allows us to know The biggest angle in a triangle is always on the other side of the biggest side, and the smallest angle is always on the other side of the smallest side.
Here are some more properties for triangles,
If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
learn more about triangles here :
https://brainly.com/question/2773823
#SPJ2
One side of triangle is 5 more than 3 times the shortest side. The third side is 24 feet more than the shortest side. The perimeter is 114 . Find all three sides.
Answer:
17, 56, 41,
Step-by-step explanation:
"third side is 24 more than shortest side"
Let a be the shortest side.
c = a+24
"perimeter is 114"
a+b+c = 114
a+b+(a+24) = 114
2a + b = 90
"one side is 5 more than 3 times the shortest side"
That side must be b; c is an extraneous solution.
b = 3a+5
2a+(3a+5) = 90
a = 17
b = 56
c = 41
(a,b,c) = (17,56,41)
Joseph went shopping for a new pair of pants. The listed price of the pair of pants was
$28, but the price with tax came to $30.80. Find the percent sales tax.
Answer: 10%
Step-by-step explanation:
divide 30.80 by 28 and when you get the answer multiply by 100.
After you get the answer to that subtract it by 100.
30.80/28=1.1
1.1 x 100= 110
110-100=10
hope this helps <3
Answer:
10%
Step-by-step explanation:
9 months late gang
how do you simplify this:
17mn - 5mnx + 15mx
Answer:
m(17n - 5nx + 15x)
Step-by-step explanation:
17mn - 5mnx + 15mx
= m(17n - 5nx + 15x)
I need Help I don't understand
identify the variable in the expression b+12
Answer:
b is the variable in the expression b+12
13-6=3x-14 whats the value of x
Answer:
x=9
Step-by-step explanation:
13+14=3x
27=3x
27/3=x
9=x
The graph below represents how much money Marcia charges for babysitting a certain number of hours.
Explain the meaning of the point (1,15) and why the point (0,0) appears on the graph.
Answer:
the 1/15 means the she gets 15.00 for working 1 hour. and the 0,0 means she gets 0 price because she worked 0 hours.
What object would be capacity that is best measured in pints
Answer:
The capacity of a carton of ice cream is often measured in pints. A unit equal to 32 fluid ounces, or 4 cups. You often see quarts of milk being sold in the supermarket.
Answer:
Step-by-step explanation:
Pints measure the volume of a fluid. A pint = 16 fluid ounces, while a quart is 2 pints or 32 fluid ounces. Objects holding 16 to 32 fluid ounces are measured in pints.
Tickets for a concert cost $4.00 for a balcony seat and $7.50 for an orchestra seat. If ticket sales totaled $1,585 for 300 tickets sold, how many more tickets for balcony seats were sold than tickets for orchestra seats? - thanks
Answer:there were 80 more tickets sold for balcony seats than for orchestra seats
Step-by-step explanation:
Step 1
Let number of tIcket for balcony be represented as x
and
Number of tickets for orchestra seat be represented as y such that the total number pf tickets sol;d would be
X+ Y = 300--- equation 1
And the cost for $4.00 for a balcony seat and $7.50 for an orchestra seat totalling ticket sales of $1,585 be represented as
4x + 7.50y = 1585----- equation 2
Step 2
X+ Y = 300--- equation 1
4x + 7.50y = 1585----- equation 2
Multiplying equation 1 by 4 and subtracting from equation2
4x + 7.50y = 1585
-4x+4y= 1200
3.50y =385
y =385/3.50
y=110
To find x, when y=110
X+ Y = 300--- equation 1
x+110=300
x= 300-110= 190 tickets
balcony seats tickets = 190
orchestra seats tickets = 110
Therefore, there were 80 more tickets sold for balcony seats than for orchestra seats
A triangle has an area of 29.7cm^2 and a base of 13.5cm. Use the formula A=1/2 bh to find the height.
Answer:
4.3362962963
Step-by-step explanation:
A=1/2bh
29.7cm^2=1/2 13.5h
You're gonna multiply each side by 2 to cancel out the fraction equaling,
58.54= 13.5h
You're then gonna divide w=each side by 13.5 to get h left alone on one side and a number on the other equaling your answer. 4.3362962963. Round to whatever decimal place you need.