Answer & Step-by-step explanation:
We will only get a tornado if there is already a thunderstorm materializing
0.80 * 0.14 = 0.112
Probability of a tornado = 11.2%
There is a 100 - 14 = 86% chance of a tornado not being produced.
0.80 * 0.86 = 0.688
Probability of a storm and no tornado = 68.8%
Mr. Sun borrowed $15,600 for 54 months at simple interest to pay for a new swimming pool. If Mr. Sun paid the bank a total of $21,567.00, what was the simple interest rate of the loan?
Given:
Mr. Sun borrowed $15,600 for 54 months at simple interest.
Mr. Sun paid the bank a total of $21,567.00.
To find:
The rate of simple interest.
Solution:
We know that,
12 months = 1 year
1 month = [tex]\dfrac{1}{12}[/tex] year
54 months = [tex]\dfrac{54}{12}[/tex] year
54 months = 4.5 years
Simple interest is:
[tex]S.I.=Amount-Principal[/tex]
[tex]S.I.=21567-15600[/tex]
[tex]S.I.=5967[/tex]
Formula for simple interest is:
[tex]S.I.=\dfrac{P\times r\times t}{100}[/tex]
Where, P is principal, r is the rate of interest in percent and t is the number of years.
Putting [tex]S.I=5967,P=15600,t=4.5[/tex], we get
[tex]5967=\dfrac{15600\times r\times 4.5}{100}[/tex]
[tex]596700=70200r[/tex]
[tex]\dfrac{596700}{70200}=r[/tex]
[tex]8.5=r[/tex]
Therefore, the rate of simple interest is 8.5%.
Niko wants to put soil in his garden shown below. If soil comes in bags that fill 6 square yards each, how many bags of soil should Niko buy? Hint: you may have some leftover soil.
Answer:
444 pot soils
Step-by-step explanation:
look at photo! please help needed! 1.
Answer:
5/12
Step-by-step explanation:
it says in the question that 1/4 +1/3 is used so in order to make it simple we have to find the common denominator that is 12. so converting 1/4 is 3/12 and 1/3 is 4/12.so u add the numerator and u get 7 over 12 .so now the whole container of peanuts is 12/12 but 7/12 is used so 12-7= 5. so ur ans is 5/12
Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8).
Answer:
A linear equation in the standard form is written as:
y = a*x +b
where a is the slope and b is the y-intercept.
If we know that the line passes through the points (a, b) and (c, d), then the slope can be written as:
a = (d - b)/(c - a)
So we know that our line passes through the points (8, -1) and (2, -5)
then the slope will be:
a = (-5 - (-1) )/(2 - 8) = (-4/-6) = 2/3
Then our line is something like:
y = (2/3)*x + b
to find the value of b, we can use the fact that we know that our line passes through the point (2, -5)
this means that when x = 2, we must have y = -5
replacing these values in the equation we get:
-5 = (2/3)*2 + b
-5 = 4/3 + b
-5 - 4/3 = b
-15/3 - 4/3 = b
-19/3 = b
then the equation is:
y = (2/3)*x - 19/3
(in the question you wrote the point-slope form, but you can see that it does not work for the second point, so there may be a mistake there, as the slope is missing)
The actual equation in the point-slope form is:
y + 1 = (2/3)*(x - 8)
Answer:
The answer is 2x + -3y = 19
Step-by-step explanation:
I Got It Right Instruction on edge
SECTION B
A matatu and Nissan left town A for town B 240km away at 8.00 a.m travelling at 90km/hr
and 120km/hr respectively. After 20 minutes the Nissan had a puncture which took 30
minutes to mend.
(5mks
a) How far from town A did the Nissan catch up with the matatu?
9514 1404 393
Answer:
180 km
Step-by-step explanation:
The Nissan had traveled (120 km/h)(1/3 h) = 40 km when it had the puncture. It started from that location when the puncture was repaired at t = (1/3+1/2) = 5/6, where t is in hours. Then the two vehicles met (again) when ...
Matatu distance = Nissan distance
90t = 40+120(t -5/6)
0 = 40 +30t -100 . . . . . . subtract 90t, eliminate parentheses
60 = 30t . . . . . . . . . . . add 60
2 = t . . . . . . . . . . . . . 2 hours after leaving, the cars meet again
That distance from town A is ...
y = 90t = 90(2) = 180 . . . . km
Strat with k add 2 multiply by 6 then subtract 8
Answer:
6(k+2) -8
Step-by-step explanation:
Start with k
k
Add 2
(k+2)
Multiply by 6
6(k+2)
Then subtract 8
6(k+2) -8
6(k+2)-8 is a required answer.
Answer:
Solution given:
Start with k.
Kadd 2
k+2multiply by six
(k+2)*6subtract by 8
6(k+2)-83х + 5
Invers of function f
Answer:
x-2/3 is the answer.......
Please mark me as Brainliest
plzzz helpppp dont ignoreeee
Answer:
X= 40
Step-by-step explanation:
2(110 + 4x) = 220 + 8x = 540
8X = 320
X= 40
Please helppppp!!!!!!!!
Answer:
128 cm^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) h
where b1 and b2 are the lengths of the bases and h is the height
A =1/2( 10+22) * 8
A = 1/2 (32)8
= 128
Answer:
A=128 cm²
Step-by-step explanation:
Hi there!
We are given a trapezoid and we want to find the area of it
The area of a trapezoid is given as [tex]\frac{a+b}{2}h[/tex], where a and b are the bases and h is the height
The bases are the parallel sides
They are the sides marked as 10 cm and 22 cm in this case
The height is the distance between the bases
In this case, it is the side marked as 8 cm
We know everything needed for the area, let's just label everything to avoid any confusion
a=10
b=22
h=8
Now substitute into the formula
A=[tex]\frac{a+b}{2}h[/tex]
A=[tex]\frac{10+22}{2}*8[/tex]
add the numbers on the numerator together
A=[tex]\frac{32}{2}*8[/tex]
Divide 32 by 2
A=16*8
multiply
A=128 cm²
Hope this helps!
Two-Fifths of a number is 48. What is 3/4 of the SAME number?
Need help urgently
Answer:
[see below]
Step-by-step explanation:
"Two-Fifths of a number is 48."
(2/5)n = 48
((2/5n)(5/2) = 48 *(5/2)
n = 120
------------------------------------
120 * (3/4) = 90
Hope this helps you.
What are the fractions simplest form
Answer:
the first one 2/-1, hope it helps...
How would I answer this: How many minutes are in a 30-day month.... use vertical multiplication to get the right answer
Answer:
There are 43200 minutes in a 30-day month.
Step-by-step explanation:
We know that:
60 minutes = 1 hour
24 hours = 1 day
Thus to determine the minutes in a 30-day month, let us first determine the number of hours in the month.
30
x 24
_______
120
60
_______
720 hours
The 30-day month has a total of 720 hours.
So that the number of minutes that make up 720 hours can be determined by;
720
x 60
_______
000
4320
_______
43200
Therefore, there are 43200 minutes in a 30-day month.
Can someone help me figure this out?
Answer:
See picture below.
Step-by-step explanation:
I had to write a new option for one of the lines.
Is (5, 0) a solution to the equation y = x + 5?
Guys I need help
Answer:
no
Step-by-step explanation:
substitute the x- coordinate 5 into the equation and if the result is equal to the y- coordinate 0 then it is a solution
y = 5 + 5 = 10 ≠ 0
Then (5, 0 ) is not a solution to the equation
Can some one help me solve these 3 questions?
2z^8- 32z^8
Help plz
Answer:
-30z^8
Step-by-step explanation:
[tex]2 {z}^{8} - 32 {z }^{8} \\ = - 30 {z}^{8} [/tex]
Answer:
-30z^8
Step-by-step explanation:
2z^8- 32z^8
-30z^8
Harry reads that a particular element has an atom with a mass of 0.000000000012 grams. What is the weight of the atom expressed in scientific notation?
A.
1.2 × 10-9 grams
B.
1.2 × 10-11 grams
C.
1.2 × 1011 grams
D.
1.2 × 1012 grams
Answer:
Since this number is small we know that the exponent will be negative.
In scientific notation the decimal must be between the first two NON zero numbers. So move the decimal and count how many positions it was moved.
1.2 x 10 ^-11
Step-by-step explanation:
Find the decay factor from the model y =4520(0.6)square 6
Answer:
Step-by-step explanation:
Instructions: Find the measure of the indicated angle to the nearest
degree.
26
?
32
? =
Answer:
36
Step-by-step explanation:
Since this is a right triangle we can use trig functions
cos theta = adj side / hyp
cos ? = 26/32
Taking the inverse cos of each side
cos^-1(cos ?) = cos^-1( 26/32)
? = 35.65908
To the nearest degree
? = 36
Pleaseeee helppppppp
Answer:
d = 8t
Step-by-step explanation:
Which of the following is equivalent to (x+5)(2x^2 +8)?
A. (x+5)(2x^2)• (X+5)(8)
B. (x+5)(2x^2)+(x+5)(8)
C. (x+5)(2x)+(x+5)(8)
D. (x+5)(2x)• (x+5)(8)
Answer:
(x+5)(2x^2 +8)
Multiply (x+5) in both sides
(x+5)(2x^2) × (x+5)(8)
Answer is a
find the LCM and hcf of 72 and 162 , leaving the LCM in prime factors
=========================================================
Explanation:
Find the prime factorization of 72 and 162
72 = 8*9 = 2^3*3^2162 = 2*81 = 2*9^2 = 2*(3^2)^2 = 2*3^4Here's a simplified version of each
72 = 2^3*3^2162 = 2*3^4We have these unique primes: 2, 3
Circle the terms that have the largest exponents for each of those unique primes. So you'll circle 2^3 and 3^4. Those items circled will multiply together to get the LCM.
This means 2^3*3^4 is the LCM (lowest common multiple).
2^3*3^4 turns into 648, but your teacher wants you to keep the LCM in prime factor form.
------------------------------
Now onto the HCF (highest common factor; aka GCF).
Looking at
72 = 2^3*3^2162 = 2*3^4We again see '2's and '3's as the unique primes. Both have at 1 copy of '2' between them. They also both have 3^2 between them. It might help to think of 3^4 as 3^2*3^2.
Those common factors you circled are then multiplied.
Overall, the HCF is 2*3^2 = 2*9 = 18
-----------------------------
Side note: The HCF is useful to help reduce fractions, while the LCM is useful to help find the LCD (lowest common denominator) when adding or subtracting fractions of different denominators. There are other applications of each of these.
Answer:
LCM= 648
HCF= 18
Step-by-step explanation:
Ahmed is making 8 kites. He uses 5 yards of ribbon for each kite. If he adds 3 more identical kites which he has already made before, how many kites will Ahmed have in toTal
he would have 11 kites in total, hope this helps!
3 of 9
Express the ratio below in its simplest form.
2:4:2
Answer:
1 : 2 : 1
Step-by-step explanation:
2:4:2
Divide each term by 2
2/2:4/2:2/2
1 : 2 : 1
How many real solutions exist for this system of equations?
y=x^2+4
y= 4x
ОА. .
zero
OB.
one
Ос.
two
OD
infinite
Reset
Next
Answer:
One
Step-by-step explanation:
Set each equations equal to each other
[tex] {x}^{2} + 4 = 4x[/tex]
[tex] {x}^{2} - 4x + 4[/tex]
Find the discrimant.
[tex]{ - 4 {}^{2} - 4(1)(4) } = 0[/tex]
This means there is one real solution. Since the discramnt equal 0.
Ross walked 3 m east and 6 m north. How far is he from the starting point
Answer:
3 sqrt(5) meters
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem.
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2+6^2 = c^2
9+36 = c^2
45 = c^2
Taking the square root
sqrt(45) = sqrt(c^2)
sqrt(9*5) = c
sqrt(9) sqrt(5) =c
3sqrt(5) = c
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
Given:-Ross walked 3 m east and 6 m north. Find:-How far is she from the starting point?solution:-Ross walked 3 m east and 6 m north.
so her path is a right angle triangle path.
we know that,
in a right angle triangle, According to the Pythagorean theorom,
[tex]\boxed{\sf{l^2+b^2=h^2 }}[/tex]
where
l= legs b=baseh=hypotenuse According to the question, [tex]\sf{3^2+6^2=f^2 }[/tex] [tex]\sf{9+36=f^2 }[/tex] [tex]\sf{ f^2=45 }[/tex] [tex]\sf{f=\sqrt{45} }[/tex] [tex]\sf{f=3\sqrt{5} }[/tex] Therefore:-he is [tex]\sf{3\sqrt{5} }[/tex] far from the starting point
What number cube has faces numbered 1 to 6.
Answer:
I don`t see the attachment
Step-by-step explanation:
What does x stand for in the equation 1+x=2
Solve for the missing angle. Round to the nearest degree.
Step-by-step explanation:
here's the answer to your question
QUICK! WHAT IS THIS ANSWER?
Answer:
a)2x-3y
b)4(9a-4)
Step-by-step explanation:
a)we want to expand the following expression:
[tex] \displaystyle - \frac{1}{4} ( - 8x + 12y)[/tex]
well to do so we consider distributive property thus distribute:
[tex] \displaystyle - \frac{1}{4} (- 8x )+ - \frac{1}{4}( 12y)[/tex]
reduce fraction which yields:
[tex] \displaystyle - \frac{1}{4} (- 8x )+ - \frac{1}{4}( 12y) \\ \\ \displaystyle 2x + ( - 3y)[/tex]
simplify Parentheses:
[tex] \displaystyle \boxed{ 2x - 3y}[/tex]
b)in the expression there's a common factor of 4 therefore factor it out:
[tex] \displaystyle 9.4a - 4.4 \\ \\ \displaystyle \boxed{4(9a - 4)}[/tex]
