Answer:
12 meters
Step-by-step explanation:
Area = length × width. If we divided 96 (area) by 8 (width) we should get the length. 98 ÷ 8 = 12.
Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet.
1) 6 feet
2) 16 feet
3) 12 feet
4) 4 feet
Step-by-step explanation:
Volume of square pyramid
= (Base length)² * (Height/3).
Therefore we have 8 = 2² * (h/3).
=> 8 = 4 * (h/3), h/3 = 2, h = 6.
Hence the height is 6 feet. (1)
-8, 1, 10...
n
What is a formula for the ninth term of the given sequence
9514 1404 393
Answer:
a9 = -8 +9(9 -1)
Step-by-step explanation:
The given sequence has a common difference of 1-(-8) = 10-1 = 9, and a first term of -8. The formula for the n-th term of such an arithmetic sequence is ...
an = a1 +d(n -1) . . . . . first term a1, common difference d
For the parameter of this sequence, a1=-8 and d=9, the n-th term is ...
an = -8 +9(n -1) . . . . formula for the n-th term
__
Then the formula for the 9th term is ...
a9 = -8 +9(9 -1)
Is this graph and example of sun or cos graph?
2.1-10. suppose there are 3 defective items in a lot (collection) of 50 items. a sample of size 10 is taken at random and without replacement. let x denote the number of defective items in the sample. find the probability that the sample contains (a) exactly one defective item. (b) at most one defective item.
Answer:
a) 0.398 = 39.8% probability that the sample contains exactly one defective item.
b) 0.9021 = 90.21% probability that the sample contains at most one defective item.
Step-by-step explanation:
The itens are chosen without replacement, so we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Suppose there are 3 defective items in a lot (collection) of 50 items
This means that [tex]k = 3, N = 50[/tex]
Sample of 10
This means that [tex]n = 10[/tex]
(a) exactly one defective item.
This is P(X = 1). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 1) = h(1,50,10,3) = \frac{C_{3,1}*C_{47,9}}{C_{50,10}} = 0.398[/tex]
0.398 = 39.8% probability that the sample contains exactly one defective item.
(b) at most one defective item.
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]. So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,50,10,3) = \frac{C_{3,0}*C_{47,10}}{C_{50,10}} = 0.5041[/tex]
[tex]P(X = 1) = h(1,50,10,3) = \frac{C_{3,1}*C_{47,9}}{C_{50,10}} = 0.398[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5041 + 0.398 = 0.9021[/tex]
0.9021 = 90.21% probability that the sample contains at most one defective item.
I will give brainiest to whoever answers correctly !!
Answer:
275 days
Step-by-step explanation:
From August 21 to May 23, there is 275 days!
write the equation of a line that is parallel to x=-5 and that passes through the point (1,4)
Answer:The x-axis is a horizontal line with the equation y = 0. The line parallel to the x-axis through the given point is y = 4, which is another horizontal line which has a slope of 0, which is true of any horizontal line.
Which multiplication sentences equal to the division sentence?
Answer:
the second option (middle)
Step-by-step explanation:
y=2y+1/5 what does y equal
Answer:
the answer is
y - 2y = 1/5
-y = 1/5
y = -1/5
Answer:
y=-1/5 or y=-0.2
Step-by-step explanation:
y=2y+1/5
-1/5=2y-y
-1/5=y
y=-1/5
Find the absolute value. |-45 |
Answer:
45
Step-by-step explanation:
Absolute value is the distance that number is ways from zero
Answer:
45
Step-by-step explanation:
The absolute value of any number is the positive of that number.
Ex:
a) absolute value of |- 23 | is 23.
b) absolute value of 13 is 13 itself.
-Therefore absolute value is always positive.
I will give Brainiest to whoever answers correctly !!!
Answer:
6.69 grams
Step-by-step explanation:
12 * .4425 = 5.31
12 - 5.31 = 6.69
which is an equation for the line shown?
y=3
x=3
y=-3
x=-3
Answer:
x+-3
Step-by-step explanation:
How to graph -2,-2
does it just go vertical or horizontal?
SOLVE FOR X, WILL GIVE BRAINLIEST
The two angles are supplementary angles and when added together equal 180 degrees.
3x -12 + x+2 = 180
Simplify:
4x -10 = 180
Add 10 to both sides
4x = 190
Divide both sides by 4
X = 190/4
X = 47.5
help please... the question is which statement would be the most important in explaining why 2/3 is = to 6/9.
Answer:
C. The shaded area represents both 2/3 and 6/9 of the whole shape.
Spencer has a retirement account through his employer. His monthly contributions to the account are taken out of his check before payroll
taxes are calculated.
The fact that his employer sponsors his benefit package, and the contributions are______
account is a
indicates that Spencer's retirement account is a _____
1.tax exempt
Tax deferred
2.traditional ira
Roth ira
Traditional 401(k)
Roth 401(k)
If it's wrong ill come back to correct myself.
Answer
See image.
Step-by-step explanation:
m = − 6 ; n = 2 ; p = 4 − 3 m 2 + 4 n − p
Answer:
- 104
Step-by-step explanation:
Assuming the question is to evaluate the expression.
Given
- 3m² + 4n - p ← substitute given values for m, n and p
= - 3(- 6)² + 4(2) - 4
= - 3(36) + 8 - 4
= - 108 + 4
= - 104
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3604 to rent trucks plus an additional fee of $75.50 for each ton of sugar. The second company does not charge to rent trucks but charges $300.75 for each ton of sugar.
For what amount of sugar do the two companies charge the same?
tons
What is the cost when the two companies charge the same?
$
Answer: 14 tons
$3,860.50
Step-by-step explanation:
Let x = the amount of sugar transported.
First company:
The cost is $3157 truck rental plus $50.25 per ton of sugar.
Total cost = 3157 + 50.25x dollars
Second company:
There is no charge for truck rental, but it costs $275.75 per ton of sugar.
The total cost is
275.75x
When the two costs are the same, then
275.75x = 3157 +50.25x
225.5x = 3157
x = 14 tons
The total cost is 275.75*14 = $3,860.50
Answer:
16 pounds of sugar
The initial cost to transport it would be $4812
Okay
So lets do company 1=a
2=b
So the equation for company a is
3604+75.5x
The second one is
300.75x
Now I would find the LCM
So I just predicted (guess and check)
so obviously 15 can be a good shot but that off a little bit,
16
so if you plug in 16 for each options for X
3604+75.5*16= 4812
The second company
300.75*16=4812
SO their the same
So 4812 cost, 16 tons
Please help I’ll mark you as brainliest if correct!
Answer:
304
Step-by-step explanation:
The area of the square is 12 x 8 = 96.
There are two triangles with area (11x8)/2=44. 44x2=88.
There are two triangles with area (10x12)/2=60. 60x2=120.
96+88+120=304
Hope I helped!
If Maggie rides for 2 hours on a bicycle, what is her rate if she rides for 8 miles?
__________________ mph
Answer:
4 mph
Explanation:
8 miles / 2 hours = 4 miles each hour
Solve for p. U=1/7pd
Answer:
U =1/7pd
Multiplying through by 7pd, we have U7pd=1
Dividing through by U7d , we have p=U7d*1
Therefore p= U7d
If each quadrilateral is a rhombus, find the missing measure. Find M
Answer:
m<HGI= 8.32
Step-by-step explanation:
4x+3=7x-1
3=3x-1
4=3x
1.33=x
______________________
4*1.33+3=8.32
i dont know if this is true so mark me on that
i will get it wrong too if it is wrong.
The measure of angle HGI from the given rhombus is 35°.
What is a rhombus?A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square. Look at the image below to understand the relationship of rhombus shape with parallelogram and square.
The given quadrilateral FGHI is a rhombus.
In a rhombus, diagonals bisect each other at right angles.
Here, (7x-1)°+(4x+3)°+90°=180°
11x+92=180
11x=88
x=8
Now, 4x+3=35°
So, m∠HGI=35° (Alternate interior angles)
Therefore, the measure of angle HGI is 35°.
Learn more about the rhombus here:
https://brainly.com/question/27870968.
#SPJ2
A vehicle travels 140 miles in 5 hours. At this rate, how many miles will the vehicle travel in 7 hours? please help I just failed my test I made a 38%
Answer:
28 mph
Step-by-step explanation:
I dont know if this helped but if it did then your welcome? I dont know if this helped sorry TwT
Find a number, twice of which decreased by 7 gives 65.
Answer:
Number = 36
Step-by-step explanation:
Given that,
A number twice of which decreased by 7 gives 65.
Let the number be x.
Twice of the number is 2x.
ATQ,
2x - 7 = 65
We can solve the above equation.
Adding 7 both sides.
2x-7+7 = 65 +7
2x = 72
x = 36
So, the required number is 36.
Move numbers to the blanks to solve the problem.
6 divided by 1/3
Answer:
its 2
Step-by-step explanation:
if cos x = 2 sin x, so the value of sin x cos x is ...
Answer:
1/2
Step-by-step explanation:
As cosx= 2sinx,
now,
so, sinxcosx = sinx(2sinx) = 2 sin²x
Again,
2sin²x =1
sin²x= 1/2
sinx = 1/ root 2
sinx = sin 30
x = 30
Let p represent "He is able" and let q represent "He will win." Translate Translate p- into a verbal sentence.
Answer:
He will is able win
Step-by-step explanation:
Answer:
he is able to win
Step-by-step explanation:
The square ABCD has side length 20 cm,
E is the midpoint of BC,
20 cm
20 cm
Work out the length of AE,
Give your answer correct to one decimal place.
Answer:
AE=22.4
Step-by-step explanation:
BE is 1/2 of BC
BC is 20 cm All sides of a square are equal
BE = 1/2 BC Property of a midpoint.
BE = 10
Now just use Pythagorus
AB^2 + BE^2 = AE^2
AE^2 = 20^2 + 10^2 Perform the sqrs
AE^2 = 400 + 100 Add the terms
AE^2 = 500 Take the square root of both sides
√AE^2 = √500
AE = 22.36
AE ≈ 22.4
Jim has a bag that contains 8 red marbles, 15 blue marbles, and 17 yellow marble, He takes 1 marble at random from the bag and does not replace. then he takes another marble from the bag at random. what is the probability that Jim chooses a red marble fist and blue marble second? Please help me
A. 3/40
B. 1/13
C. 8/15
D. 2/39
Find total marbles:
8 + 15 + 17 = 40 total marbles.
There is 8 red, so picking red first would be 8/40, which can reduce to 1/5.
After taking 1 marble there would be 39 marbles left.
Picking blue would be 15/39, which reduces to 5/13
The probability of doing both is
1/5 x 5/13 = 5/65, which reduces to 1/13
The answer is B. 1/13
10 = 2j – 4
what does j =
Answer:
j=7
Step-by-step explanation:
10=2j-4 add 4 on both sides
10+4=2j
14=2j divide by 2 on both sides
7=j
Which equation is equivalent to 1/5x - 3 = 2/3
Answer:
x = 55/3
Step-by-step explanation:
1/5x - 3 = 2/3
You want to move the constant of 3 to the right side.
1/5x = 2/3 + 3
To combine 2/3 and 3, set a common denominator.
1/5x = 2/3 + 9/3
Add.
1/5x = 11/3
Divide by 1/5 or multiply by 5/1 to isolate x.
x = 11/3(5/1)
x = 55/3
Answer:
[tex] \frac{1}{5} x - 3 = \frac{2}{3} \\ \frac{1}{5} x = 3 + \frac{2}{3} \\ \frac{1}{5} x = \frac{11}{3} \\ \boxed{x = \frac{55}{3} }[/tex]
x= 55/3 is the right answer.