Answer:
8.9%
Step-by-step explanation:
sales tax rate (in percentage) = 409.40÷4600*100=8.9%
A class of 128 students from civil, mechanical and electrical engineering backgrounds is divided into 2 sections (sections A and B). Section A contains of 18 civil engineers and a total of 50 students. Section B contains 44 mechanical engineers. There are a total 40 civil engineers and 60 mechanical engineers in the class. What is the probability that a random electrical engineering student is from section A
Answer:
The probability is 0.5714
Step-by-step explanation:
This is a probability question. We are interested in calculating the probability that a random electrical engineering student is from section A.
Mathematically the probability will be;
Number of electrical engineering students in section A/ Total number of electrical engineering students in both sections
Total number of electrical engineering students = 128 - 60 -40 = 28
Now let’s calculate the number of electrical students from section A
Number of mechanical and electrical = 50-18 = 32
Now, there are a total of 60 mechanical engineers and 44 in B; So the number of mechanical engineers in A = 60-44 = 16
So the number of electrical engineers in A = 32-16 = 16
So the probability will be;
16/28 = 4/7 = 0.5714
The cookie store had 187 cookie jars with 12 cookies in each cookie jar. How many cookies did the cookie store hav in all
A survey of 140 pet owners yielded the following information: 47 own fish; 53 own a bird; 50 own a cat; 68 own a dog; 2 own all four; 11 own only fish; 14 own only a bird; 10 own fish and a bird; 21 own fish and a cat; 26 own a bird and a dog; 29 own a cat and a dog; 3 own fish, a bird, a cat, and no dog; 1 owns fish, a bird, a dog, and no cat; 9 own fish, a cat, a dog, and no bird; and 10 own a bird, a cat, a dog, and no fish. How many of the surveyed pet owners have no fish, no birds, no cats, and no dogs? (They own other types of pets.)
Answer:
18
Step-by-step explanation:
This is venn diagram with 4 elements
Fish = n(F)
Bird = n(B)
Dog = n(D)
Cat = n(C)
The formula is given as
n (F ∪ B ∪ C ∪ D) - n(pet owners that have not fish, bird, cat or dogs) = n(F ) + n ( B ) + n (C) + n(D) - n ( F ∩ B) - n ( F ∩ C) - n ( F ∩ D) - n ( D ∩ B) - n ( D ∩ C) - n ( C ∩ B) + n(F ∩ D ∩ C) + n(F ∩ D ∩ B) + n(F ∩ C ∩ B) + n(D ∩ B ∩ C)- n (A ∩ B ∩ C ∩ D)
= 140 - n(pet owners that have not fish, bird, cat or dogs) = 47 + 53 + 50 + 68 - 21 -26 - 29- 10 - 2
140 - n = 218 - 88
140 - 218 - 88 +[(9 + 4 + 10) -(11 + 14)] = n
140 - 218 - 88 + (33 - 25)= n
140 - 130 + 8 = n
10 + 8 = n
1. The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg. Estimate Jupiter's mass using a one-digit whole number times a power of 10. Be sure to include units.
A. 1.9 X 10^18 kg
B. 2 x 10^18 kg
C. 1.9 x 10^27 kg
D. 2x 10^27 kg
Answer:
D. [tex] 2*10^{27} kg [/tex]
Step-by-step explanation:
Mass of Jupiter is given as 1,898,000,000,000,000,000,000,000,000 kg
Estimating this to the nearest whole number would be = 2,000,000,000,000,000,000,000,000,000 kg (rounding up the the "1,898")
To express this in scientific notation form, simply count how many zeros we have to the nearest whole number, 2.
We have 27 zeros there.
Therefore, we would multiply the whole number, 2, by 10 raise to the power of 27.
An estimate of the mass of Jupiter = [tex] 2*10^{27} kg [/tex]
What is the value of x? (X+40)
-40
Step-by-step explanation:
at the moment your equation is x+40=0
you move the forty to the other side by subtraction and you get x= -40
Answer:
x=-40
Step-by-step explanation:
Can someone answer this pls?? FAST
Which of the following can not be used to express the number 8?
eight below zero
positive eight
+8
eight more than zero
Answer:
A positive number or a number that is greater than zero
Step-by-step explanation:
During a recent beetle infestation, two-thirds of the ash trees in the area were destroyed. If 130 trees were destroyed, how many ash trees were originally in the area?
Answer:
195 Trees
Step-by-step explanation:
2/3 is just 2 of 3 parts
2 parts of the trees is 130,
so divide 130 by 2, and that's 65.
Since you know 65 + 65 is the same as 2 out of 3
Then just add 65 one more time to equal 195.
Since, 65*3 is the same as saying 1 * 3 parts
130 is equal to 2/3, so 195 is equal to 3/3.
A box is 21 centimeters tall. How tall would the box measure in meters?
Answer:
0.21
Step-by-step explanation:
divide the length value by 100 21 centimeters in meters is 0.21
Answer:
0.21 its the k12 test.
Step-by-step explanation:
5 ( 3 squared x) + 9 ( 3 squared x)
Answer:
42x^2
Step-by-step explanation:
[tex]5(3x^{2} )+9(3x^2)\\\\=(5+9)(3x^2)\\\\=14(3x^2)\\\\=42x^2[/tex]
Use the grouping method to factor the polynomial below completely.
x2 – 3x2 + 5x - 15
A. (x+3)(x - 5)
B. (x - 3)(x+5)
O C. (X - 5)(x+3)
O D. (2 + 5)(x-3)
Step-by-step explanation:
You can let me know, but i dont think -3x² is supposed to be squared in this question because then it would make it unsolvable.
5x-15
can be simplified to 5(x-3)
x²-3x
can be simplified to x(x-3)
Then u rewrite it (5 + x)(x - 3)
how do find the domain and range from a graph, and writing it as an inequality
Chen burns 354 calories in 1-hour swimming. He swam for 28 hours last month. How many calories did Chen burn in all last month from swimming?
Answer: he burned 9912 calories all last month
132891 round the nerast hundred
what are strategies to find rational numbers
If point p partitions line BA,what would be the part to whole ratio
Answer:
4 / 5
Step-by-step explanation:
From the image attached, Line BA is divided into a total of 5 equal proportions (or intervals). Point P is placed at the 4th proportion of the divided line, also the distance between point P and point A is 1 propotion. The ratio in which point P divides the line BA is given as:
Ratio = BP : PA = 4 : 1
Ratio = 4 : 1
The part to whole ratio If point p partitions line BA = BP / BA = 4 / 5
Part to whole ratio = 4/5
Find the value of x that will make A||B.
A
B
4x
2x
X =
?
Answer:
x = 30
Step-by-step explanation:
Lines A and B are parallel lines and a transverse line is intersecting these lines at two distinct points.
By the definition of interior consecutive angles, sum of the measures of interior consecutive angles is 180°.
4x + 2x = 180°
6x = 180
x = 30
Therefore x = 30 will be the answer.
PLS HELP I DONT UNDERSTAND :( WILL MARK BRAINLIEST!!! :)
Answer:
3/50
Step-by-step explanation:
rise over run
3/50
Answer:
A. 3/50
Step-by-step explanation:
subtract the y values in the form where the first point is subracted from the second point: 460-310=150
subtract the x values in the form where the first point is subracted from the second point: 3500-1000= 2500
then put these numbers in fraction form: 150/2500
simplify: 3/50
Find JH
G. H. I. J
2. 12.
Answer:
JH = 17
Step-by-step explanation:
GH = 2
IJ = 12
GI = 7
find: JH
HI = 7 - 2
HI = 5
JH = 12 + 5
JH = 17
Question 3 of 8
Which of the following are measurements for rectangles that are similar to a
rectangle with a width of 10 and a length of 20? Check all that apply.
A. 17 and 34
B. 2.5 and 6
O C. 15 and 30
0 D. 14 and 30
O E. 5 and 10
Hannah had $237 in her
bank account at the start of
the summer. She worked for four
weeks and now she has $1685
in her bank.how much did Hannah make each week in her summer job
Answer:
$362
Step-by-step explanation:
Step 1:
$1685 - $237
Step 2:
$1448 ÷ 4
Answer:
362
Hope This Helps :)
functions occur when every x-value is associated with exactly one
The answer is y-value. A function is formed when one x-value corresponds with one and only one y-value.
Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. 18 cm 4 cm Not drawn to scale The yard space is large enough to have a pool that has a diameter of 27 feet. If Yolanda wants to keep the pool in proportion to the model, what will be the depth of the pool? O 4.5 feet O 5 feet 06 feet 0 6.75 feet Wema
Answer:
B
Step-by-step explanation:
What tranformatuon were applied
Answer:
180 counter clockwise............
Find the measures of angles 1 through 5 in the figure shown.
Its 4 PARTS
The measure of angle ∠1 is 44 degrees and the measure of angle ∠5 is 62 degrees.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
Angle ∠1 and 46° are complementary angles. Then we have
∠1 + 46° = 90°
∠1 = 44°
Angle ∠1 and ∠3 are vertically opposite angles. Then we have
∠1 = ∠3 = 44°
The sum of all the angles of the triangle is 180 degrees. Then we have
∠3 + 74° + ∠5 = 180°
44° + 74° + ∠5 = 180°
∠5 = 62°
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
(-1/3)-(-9/5) to the lowest term
Answer:
Step-by-step explanation:
-1/3 + 9/5
-3/15 + 27/15
24/15 = 8/5 = 1 3/5
There are 48 empty seats and 52 occupied seats on an airplane. What is the ratio of the number of empty seats to the number of occupied seats?
Answer:
48/52
Step-by-step explanation:
What is the answer PLEASEE
Answer:
[tex]3^{-4}[/tex]
Step-by-step explanation:
[tex]3^5\cdot \:3^{-9}=3^{5-9}=3^{-4}[/tex]
find the integer that makes this subtraction statement true -3 - ? = -5
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2}}}}}[/tex]
Step-by-step explanation:
Let the missing integer be x
Solve for x
[tex] \sf{ - 3 - x = - 5}[/tex]
Move 3 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{ - x = - 5 + 3}}[/tex]
The negative and positive integers are always subtracted but posses the sign of the bigger integer
[tex] \dashrightarrow{ \sf{ - x = - 2}}[/tex]
Change the signs of both sides
[tex] \dashrightarrow{ \boxed{ \sf{x = 2}}}[/tex]
Hope I helped!
Best regards! :D
Does anyone know how to figure this out? can you please explain it to me?
Answer:
x=108'
y=25'
Step-by-step explanation:
180 = 72+x
so,
x = 180-72
= 108'
x = 5y-17 ( but we know x is 108')
so 108 = 5y -17
108+17 = 5y
5y = 125
y = 25
Answer:
x = 108 degree
y = 25 degree
Step-by-step explanation:
You can use law of transversal to get these