Answer:
4.5inches
Step-by-step explanation:
Given the volume of a prism expressed as:
V =lwh where:
l is the length
w is the width,
h is the height of the prism.
Given
V = 138.24in³
h = 9.6in
l = 3.2in
w = ?
Substitute the given values into the formula to get the width
138.24 = 9.6*3.2*w
138.24 = 30.72w
w = 138.24/30.72
w = 4.5in
Hence the width of the rectangular prism is 4.5inches
The width of the rectangular pyramid that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches is 4.5 inches.
Volume of a rectangular pyramid:v = lwhwhere
l = length
w = width
h = height
v = 138.24 inches³
h = 9.6 inches
l = 3.2 inches
w = ?
138.24 = 9.6 × 3.2 × w
138.24 = 30.72w
w = 138.24 / 30.72
w = 4.5 inches
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Slope : 3/1 through (3,-1)
Answer: y=1/3x or y−1=1/3(x−3)
Step-by-step explanation:
х2 + 3x = 8
Write the quadratic equation in standard form
Answer:
[tex]x^{2}[/tex] + 3x - 8 = 0
Step-by-step explanation:
The Martians are trying to destroy Earth by launching an anti-matter rocket (it will be disastrous it will hit earth). In response, Earth launches 500 missiles towards the rocket. Each missile will hit the rocket with probability 0.01, independently of other missiles. What is the probability that Earth will be saved, if at least 3 missiles must hit the rocket in order to destroy it before it hits Earth
Answer:
The probability the earth is saved is [tex]P(X > 3) = 0.8753 [/tex]
Step-by-step explanation:
From the question we are told that
The number of missiles lunched by earth is n = 500
The probability that each missile will hit the rocket is p(x) = 0.01
Generally the expected number of missiles that will hit the rocket is
[tex] \lambda = n * p(x)[/tex]
[tex]\lambda = 500 * 0.01 [/tex]
[tex]\lambda = 5[/tex]
Gnerally the probability that Earth will be saved is mathematically represented as
[tex]P(X > 3) = 1 - P(X \le 2)[/tex]
=> [tex]P(X > 3) = 1 - P( X = 0 ) + P(X =1 ) + P( X = 2) [/tex]
Gnerally the probability distribution function of a Poisson distribution is
[tex]P(K) = \frac{e^{- \lambda t } * (\lambda * t)^k}{k!}[/tex]
Here t = 1
Hence
[tex]P( X = 0 ) = \frac{e^{-5} * 5^0 }{0!}[/tex]
[tex]P(X =1 ) =\frac{e^{-5} * 5^1 }{1!}[/tex]
[tex]P( X = 2) = \frac{e^{-5} * 5^2 }{2!}[/tex]
[tex]P(X > 3) = 1 - [ \frac{e^{-5} * 5^0 }{0!} + \frac{e^{-5} * 5^1 }{1!} + \frac{e^{-5} * 5^2 }{2!}][/tex]
[tex]P(X > 3)= 1 - [ \frac{0.00673 }{1} + \frac{0.033689}{1} + \frac{0.168449 }{2}][/tex]
[tex]P(X > 3) = 0.8753 [/tex]
A $55 pair of shoes was discounted 15 percent, making the sale price $46.75. The discounted price was then discounted again by 10 percent. Explain how you would find the final price of the shoes.
Answer:
Hi there
Your answer is
$42.08
To find the final price of the shoes, we would use the 15% discounted price, $46.75, as 100% and find 10% discount of that.
46.75 = 100%
/10
4.675 = 10%
Now, subtract 10% from the 15% discounted price
46.75 - 4.675 = 42.075$ Round up
$42.08
Answer:
find the final price by subtracting 10% from the sale price of $46.75 which is $4.68 making the final price $42.07
What is the Reciprocal of 10/3
Answer: 3/10
Step-by-step explanation:
The reciprocal is the fraction/ number flipped
1. Contaminated water is subjected to a cleaning process. The concentration of the
pollutants is initially 5 mg per liter of water. If the cleaning process can reduce the
pollutant by 10% each hour, define a function that can represent the concentration
of pollutants in the water in terms of the number of hours that the cleaning process
has taken place.
Answer:
The concentration of pollutants in the water can be defined as the quotient between the mass of pollutants and the total mass of water.
Assuming that 1L of water weighs 1000 grams, we know that:
Mass of pollutants = 5mg = 0.005g.
Initial concentration = 0.005g/1000g = 0.000005
If we multiply this by 100%, we get the percentage:
0.000005*100% = 0.0005%
Now, the mass of pollutants decreases by 10% each hour.
So if initially, we have 5mg
After one hour, we will have: 5mg - 0.1*5mg = 5mg*(0.9).
After another hour, we will have: 5mg*(0.9) - 0.1*5mg*0.9 = 5mg*(0.9)^2.
And so on, then after n hours, the mass of pollutants will be:
M(n) = 5mg*(0.9)^n
Or we can write this in grams as:
M(n) = 0.005g*(0.9)^n
Then the concentration as a function of time in hours will be:
C(n) = M(n)/1000g = (0.005g/1000g)*(0.9)^n
Notice that the thing between the parentheses is the initial concentration, then if we write this in percentage form:
c(n) = 100%*(0.005g/1000g)*(0.9)^n = 0.0005%*(0.9)
The function that represents the concentration of polution in the water as a function of hours is:
c(n) = 0.0005%*(0.9)
Refer to the table above. Determine the percent of all voters that did not vote Republican or Democrat but voted "other" instead. Round your answer to the nearest tenth of a percent.
Answer:
9.9%
Step-by-step explanation:
Well, you would just divide the "other" category and the "total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:
Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:
9.9%, which could be rounded to 10% or 9%.
SOLVE FOR D
S=D/T
THANK YOU
what is 2x1,000 plz help
Answer:
2,000
Step-by-step explanation:
Count 1,000 twice. 2 x 1,000 = 2,000. Have a nice day!
Answer:
2000
Step-by-step explanation:
Ignore the 0s since anything times 0 is 0. Multiply 1 by 2. Put the zeroes in the answer and it's 2000
1. In ABC, A=45 degrees, B=75 degrees, and BC=12. What is the length of AB?
We know that sum of the interior angles of any triangle equal 180° :
So :
A + B + C = 180°
45° + 75° + C = 180°
120° + C = 180°
Both sides minus ( 120°) :
C = 180° - 120°
C = 60°
_________________________________
According to the theorem of sinuses :
[tex] \frac{AB}{ \sin(C) } = \frac{BC}{ \sin(A) } \\ [/tex]
[tex] \frac{AB}{ \sin(60) } = \frac{12}{ \sin(45) } \\ [/tex]
[tex] \frac{AB}{ \frac{ \sqrt{3} }{2} } = \frac{12}{ \frac{ \sqrt{2} }{2} } \\ [/tex]
[tex]Multiply \: both \: sides \: by \: \frac{ \sqrt{3} }{2} [/tex]
[tex] AB = \frac{24}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} \\ [/tex]
[tex]AB = \frac{12 \sqrt{3} }{ \sqrt{2} } \\ [/tex]
[tex]AB = \frac{2 \times 6 \sqrt{3} }{ \sqrt{2} } \\ [/tex]
[tex]AB = \frac{ ({ \sqrt{2} })^{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\ [/tex]
[tex]AB = \frac{ \sqrt{2} \times \sqrt{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\ [/tex]
[tex]AB = \frac{ \sqrt{2} \times 6 \sqrt{3} }{1} \\ [/tex]
[tex]AB = \sqrt{2} \times 6 \sqrt{3} [/tex]
[tex]AB = 6 \sqrt{2 \times 3} [/tex]
[tex]AB = 6 \sqrt{6} [/tex]
_________________________________
I think this is the correct answer.
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
3. At San Antonio Middle School, 3 out of 7 students said they would vote in the Student Council election. If there are 350 students at the school, what is a good prediction of how many students will vote?
Answer:
150 students
Step-by-step explanation:
3/7 × 350 = 150
What is the best estimate for 59.87 - 42.1? A. 18 B. 22 C. 25 D. 30
Answer:
do you still need help on tge questio ?
A municipal bond service has three rating categories (A, B, and C). Suppose that in the past year, of the municipal bonds issued throughout the United States, 70% were rated A, 20% were rated B, and 10% were rated C. Of the municipal bonds rated A, 50% were issued by cities, 40% by suburbs, and 10% by rural areas. Of the municipal bonds issued B, 60% were issued by cities, 20% by suburbs, and 20% by rural areas. Of the municipal bonds rated C, 90% were issued by cities, 5% by suburbs, and 5% by rural areas. a. If a new municipal bond is to be issued by a city, what is the probability that it will receive an A rating? b. What proportion of municipal bonds are issued by cities? c. What proportion of municipal bonds are issued by suburbs?
Answer:
(a) The probability that the new municipal bond issued will receive an A rating given that it was issued by a city is 0.196.
(b) Thus, the probability of municipal bonds issued by suburbs is 0.325.
Step-by-step explanation:
The data provided is as follows:
P (A) = 0.70
P (B) = 0.20
P (C) = 0.10
P (c | A) = 0.50
P (s | A) = 0.40
P (r | A) = 0.10
P (c | B) = 0.60
P (s | B) = 0.20
P (r | B) = 0.20
P (c | C) = 0.90
P (s | C) = 0.05
P (r | C) = 0.05
(a)
The Bayes' theorem states that the conditional probability of an event Y[tex]_{i}[/tex] given that another event X has already occurred is:
[tex]P(Y|X)=\frac{P(X|Y)P(Y)}{\sum\limits_{i} {P(X|Y_{i})P(Y_{i})}}[/tex]
Compute the probability that the new municipal bond issued will receive an A rating given that it was issued by a city as follows:
[tex]P(A|c)=\frac{P(c|A)P(A)}{P(c|A)P(A)+P(c|B)P(B)+P(c|C)P(C)}[/tex]
[tex]=\frac{(0.50\times 0.70)}{(0.50\times 0.70)+(0.60\times 0.20)+(0.10\times 0.90)}\\\\=\frac{0.35}{0.56}\\\\=0.196[/tex]
Thus, the probability that the new municipal bond issued will receive an A rating given that it was issued by a city is 0.196.
(b)
The law of total probability states that:
[tex]P(X)=\sum\limits_{i} {P(X|Y_{i})}[/tex]
Compute the probability of municipal bonds issued by suburbs as follows:
[tex]P(s)=P(s|A)P(A)+P(s|B)P(B)+P(s|C)P(C)[/tex]
[tex]=(0.40\times 0.70)+(0.20\times 0.20)+(0.10\times 0.05)\\\\=0.28+0.04+0.005\\\\=0.325[/tex]
Thus, the probability of municipal bonds issued by suburbs is 0.325.
need help asap please
Answer:
this is way to hard
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
The second answer is correct
Step-by-step explanation:
1, 3, and 6 are proportional to 5/3, 5, and 10
I hope this helps you :)
Least to greatest djjzhxjxhxjxjx
Answer:
thats easy j
Step-by-step explanation:
There must be at least 20 club members present in order to hold a meeting.
Answer:
Are you trying to create a meeting?
Step-by-step explanation:
If u are i can help? :)
There are 40 students in a class. The teacher gave each female student 5
counters and each male student 3 counters. After the distribution of the
counters, the teacher realized that the female students had 128 more counters
than the male students,
Thus the required number of male and female students are 9 and 31 respectively.
Mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
here,
Let the number of male students is x and the number of female students be y,
According to the question,
x + y = 40
x = 40 - y ----- (1)
Now,
again from the question,
5y = 3x + 128
3x = 5y - 128
from equation 1
3 (40 - y) = 5y -128
120 - 3y = 5y - 128
120 + 128 = 8y
8y = 248
y = 31
Now,
From equation 1
x = 40 - y
x = 40 - 31
x = 9
Thus the required number of male and female students are 9 and 31 respectively.
Learn more about arithmetic here:
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A triangle on a coordinate plane is translated according to the rule T–3, 5(x, y). Which is another way to write this rule?
(x, y) → (x – 3, y + 5)
(x, y) → (x – 3, y – 5)
(x, y) → (x + 3, y – 5)
(x, y) → (x + 3, y + 5)
Answer:
(x, y) → (x – 3, y + 5)
Step-by-step explanation:
How much tax is withheld from $45,580 if the tax rate is 4%?
Answer:
1,823.20
Step-by-step explanation:
I'm smart!
The equation 320=x+7.50(36) represents the cost of ordering potted plants at a second store.
What does the x represent in this situation?
Answer:
I would say it's the amount of potted plants.
Step-by-step explanation:
x is the independent variable and y is the dependent variable. Y counts on x, so total cost counts on the amount of potted plants.
Please help not sure how to do thIs see attached below
Answer:
7 in 1/2 for Y and 6 in 1/2 for X
Step-by-step explanation:
you can not go up nine so split it in half and add them on to X Y
and PS I am in 7th grade I tried my best and do you want to be friends ? my name is Ayden Hickle.
Which graph appears to represent a quadratic function?
the diagonals of a rhombus are in the ratio 3 :4 if the longer diagonals is of 12 cm then find the area of rhombus.
Answer:
Area= 54 cm^2
Step-by-step explanation:
Recall that a rhombus is given by the product of its two diagonals (d1 and d2) divided by 2.
Area = d1 * d2 / 2
So in our case, the longer diagonal is 12 cm long, and the shortest one should be in the ratio 3:4, therefore:
3 /4 = d2 / d1
3 / 4 = d2 / 12
d2 = 3 * 12 /4
d2 = 3 * 3
d2 = 9 cm
Then we can now calculate the Area of the rhombus as;
Area = d1 * d2 / 2 = 12 * 9 / 2 = 54 cm^2
What is the product of 8.0 x 10^2 and 7.4 x 10^2 expressed in scientific notation?
Answer:
5.92 × 10^5
Step-by-step explanation:
8.0 × 10²= 800
7.4 × 10²= 740
800 × 740 = 592000
592000 in scientific notation looks like this 5.92 × 10^5
Hope this helps!!
Answer:
5.92 x 10^5
Step-by-step explanation:
The product of the two is 592000 and to do scientific notation you put the decimal after the first number and however many numbers are after that decimal is the number 10 is to the power of. To know if the exponent after the ten is positive or negative if you move the decimal to the right in order to make it the original number it is positive, and if you have to move it to the left then you have a negative exponent after the 10.
The ratio of girls to boys in Liza’s classroom is 5 to 4.
How many girls are in her classroom if there is a total of 27 students?
A) 12
B) 9
C) 54
D) 15
Answer:
D
Step-by-step explanation:
5 girls 4 boys=9
10 girls 8 boys=18
15 girls 12 boys=27
Find the value of MN if AB=18 cm, BC=14.4 cm, and LM=24 cm ABCD~LMNO
Answer:
14.4
Step-by-step explanation:
ABCD~LMNO
look, M and N are in the places of B and C
Two angles in a triangle are equal and their sum is equal to the third angle in the triangle. What are the measures of each of the three interior angles?
Answer:
45º, 45º, 90º
Step-by-step explanation:
Assume angles are x then third is x+x = 2x.
sum of angles in a triangle = 180
=> x + x + 2x = 180
=> 4x = 180
=> x = 180/4 = 45
so, angles are 45,45 and 90.
Which equation is equivalent to 2x+3y=12
some possible equations equivalent to 2x+3y=12 would be:
1)
y=−2x+12/3
written form:
y= negative 2x plus 12 over/divided by 3
2)
y=−2/3x+4
written form:
y= negative 2 over/divided by 3x plus 4
3)
y=4−2/3x
written form:
y= 4 minus 2 over/divided by 3x
4)
y=12−2x/3
written form:
y= 12 minus 2x over/divided by 3
those are all i could think of! Hope this helped :)
If its too complicated comment and ill try to simplify it. remember ITS NEVER WRONG TO ASK QUESTIONS!!!
The equivalent expression for the equation 2x + 3y = 12 are:
x = 6 - 3y/2
y = 4 - 2x/3
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
2x + 3y = 12
We need to find an equivalent expression for this equation.
We can have many forms:
Case 1.
2x + 3y = 12
Subtracting 3y on both sides.
2x + 3y - 3y = 12 - 3y
2x = 12 - 3y
Dividing 2 into both sides.
x = 12/2 - 3y/2
x = 6 - 3y/2
Case 2.
2x + 3y = 12
Subtracting 2x on both sides.
2x + 3y - 2x = 12 - 2x
3y = 12 - 2x
Dividing 3 into both sides.
y = 12/3 - 2x/3
y = 4 - 2x/3
Thus the equivalent expression for the equation 2x + 3y = 12 are:
x = 6 - 3y/2
y = 4 - 2x/3
Learn more about equations here:
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Find the value of x. PLEASE HELP - test tomorrow
The answer is 62
I need to show my work.
THANK YOU!!!!!
Answer:
This is easy just like the other one you posted before
b+53+245=360
b+298=360
b=360-298
b=62
Answer:
62
Step-by-step explanation:
360 degrees is the total … You get the point.
360 degrees - 245 degrees
= 115 degrees
Now, we go onto the angle
The total measure of the angle is 115 degrees
The angle has been split into two angles. On of the angles measure is 53 degrees. To find the measure of the other angle, you have to subtract the measure of the angle that was given 53 degrees) by the total measure (115 degrees):
115 degrees - 53 degrees
= 62 degrees
Hope this helped you!
Do well on your test!!!
