Answer:
D.
Step-by-step explanation:
If you look at the graph, it says (1, 19.3) for one cubic centimeter.
Hope this helped :)
(Sorry if it is wrong)
Dewan’s bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? -$1.08
Answer:
$6.84
Step-by-step explanation:
This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.
Original balance: -$16.75Deposit: $23.59New balance: -$16.75 + $23.59 = $6.84Help what is the value of y-intercept in y+8=6x?
A. 8
B. -8
C. -6
D. 6
Answer:
-8
Step-by-step explanation:
→ Rearrange into y = mx + c format
y = 6x - 8
→ Find the y - intercept
-8
g A construction company has four trucks to carry sand to construction sites. The amount of sand that one truck can transport in one day can be modeled by an exponential distribution with mean of 4 tons for each of the four trucks. The trucks operate independently Find the probability that exactly two out of the four trucks transport more than 4 tons on a given day. What is the median load
How do i solve this slope of a line from a graph?
Answer:
How you solve it is you pick two points on a line and figure out their coordinates. Determine the difference in the y-coordinates of those two points. Then you also do the same thing with the x-coordinates. Then you divide the difference in the Y and X coordinates .
Step-by-step explanation:
hope this helps 100% sure though that it is right.
A child who is trick-or-treating chooses a lollipop at random from a bowl of lollipops with mean weight 1.5 oz and standard deviation 0.3 oz. The child then chooses two chocolate bars at random from a bowl of bars with mean weight 2.0 oz and standard deviation 0.4 oz. The three choices are independent. Find the expected combined weight of the child's lollipop and two chocolate bars.
Answer:
The expected combined weight of the child's lollipop and two chocolate bars is 5.5 oz.
Step-by-step explanation:
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Addition of normal variables:
The mean is the sum of the means.
Find the expected combined weight of the child's lollipop and two chocolate bars.
Child lollipop: Mean 1.5 oz
Chocolate bars: Mean 2 oz
One lollipop and 2 bars combined
The mean will be 1.5 + 2*2 = 5.5 oz
The expected combined weight of the child's lollipop and two chocolate bars is 5.5 oz.
Consider a set of data in which the sample mean is 83.3 and the sample standard deviation is 6.3. Calculate the z-score given that x = 79.8. Round your answer to two decimal places.
For a set of data in which the sample mean is 83.3 and the sample standard deviation is 6.3 the z-score given that x = 79.8 would be -0.555
We know that the formula for calculating a z-score is :
z = (x - μ) / σ
where z is the standard z - score
x is the observed value
μ is the mean of the sample
σis the standard deviation of the sample
here, set of data in which the sample mean is 83.3 and the sample standard deviation is 6.3
i.e., μ = 83.3, σ = 6.3
We calculate the z-score for x = 79.8
Using above formula,
z = (x - μ) / σ
z = (79.8 - 83.3) / (6.3)
z = (-3.5) / (6.3)
z = -0.555
Therefore, the z-score is: -0.555
Learn more about the z-score here:
https://brainly.com/question/15016913
#SPJ4
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a
mean of 100 and a standard deviation of 15.
n
f0 and
102
130
are
The area of the shaded region is (Round to four decimal places as needed.)
sions
Kented in
V3 and
andomly
d by in-
on affect
otes
ents
le
Enter your answer in the answer box and then click Check Answer.
section
different
version
Clear All
Check Answer
All parts showing
Answer: 0.4255
Step-by-step explanation:
Given: IQ scores of adults, and those scores are normally distributed
Mean: \(\mu=100\)
Standard deviation: \(\sigma= 15\)
Let X denotes the IQ of a random adults.
The area between 102 and 130 = \(P(102<X<130)=P(\dfrac{102-100}{15}<\dfrac{X-\mu}{\sigma}<\dfrac{130-100}{15})\)
\(=P(0.13<Z<2)\ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=P(Z<2)-P(Z<0.13)\\\\=0.9772- 0.5517\ [\text{By z-table}]\\\\=0.4255\)
Hence, area between 102 and 130 = 0.4255
15
25
15
23
15
23
17
21
21
19
15
a.) The standard deviation is(round to two decimal places)
b.) The variance is(round to one decimal place)
c.) The range is
Write the expression using exponents.
−(4b)(4b)(4b)
The expression −(4b)(4b)(4b) using positive exponents is -(4b)³
How to rewrite the expression using exponentsFrom the question, we have the following parameters that can be used in our computation:
−(4b)(4b)(4b)
Express properly
So, we have
−(4b) * (4b) * (4b)
5⁻¹² * 32⁻³ * 9⁻¹⁵
By using the definition of positive exponents, we have
−(4b) * (4b) * (4b) = -(4b)³
So, the solution is -(4b)³
Read more about expressions at
brainly.com/question/15775046
#SPJ1
The table below represents a random sample of the number of deaths per 100 cases for a certain illness over time. If a person infected with this illness is randomly selected from all infected people, find the probability that the person dies 3-4 years after diagnosis. Express your answer as a simplified fraction and as a decimal rounded to three decimal places. Years after Diagnosis Number deaths 15 35 16 9 1-2 3-4 5-6 7-8 9-10 11-12 13-14 15+ 6 4 2 13
The probability that a person dies 3-4 years after diagnosis can be determined by summing the number of deaths within the given range and dividing it by the total number of cases.
Looking at the table, we can see that there were 4 deaths reported for the 3-4 year time period. To calculate the probability, we divide the number of deaths (4) by the total number of cases in the sample (100) and express it as a fraction:
Probability = Number of deaths / Total number of cases = 4 / 100 = 1/25
Therefore, the probability that a person infected with this illness dies 3-4 years after diagnosis is 1/25 or 0.040 (rounded to three decimal places).
In the given sample, there were a total of 100 cases. Out of those cases, 4 deaths occurred within the 3-4 year time period. To find the probability, we divide the number of deaths (4) by the total number of cases (100).
This probability represents the likelihood of a person dying 3-4 years after diagnosis, based on the given sample. By expressing it as a fraction, 1/25, we can understand that for every 25 infected individuals, on average, one person would die within the specified time range.
The decimal value of the probability is approximately 0.040, meaning there is a 4.0% chance of death within the 3-4 year period after diagnosis for a randomly selected person infected with this illness.
for such more questions on probability
https://brainly.com/question/25839839
#SPJ8
find the surface area of the prism
Answer: 132 cm cubed
Step-by-step explanation:
0.5*3*4*2=12
10*5=50
4*10=40
3*10=30
30+40+50+12=132 cm cubed
Enter the equation of a circle that is congruent to circle C and is centered at point P
The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².
What is the equation of a circle?In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center of a circle.r represent the radius of a circle.Based on the information provided, we have the following parameters for the equation of this circle:
Center (h, k) of P = (1, 5)Radius (r) of P = 5 units.By substituting the given parameters, we have:
(x - h)² + (y - k)² = r²
(x - 5)² + (y - 1)² = 5²
Read more on equation of a circle here: brainly.com/question/15626679
#SPJ1
the sum of two rational numbers is 8 if one of the numbers is -5/6 find the other
Answer:53/6
Step-by-step explanation:
Let X be the other rational number
-5/6+X=8
Add 5/6 to both sides
-5/6+5/6+X=8+5/6
0+X= 53/6 (inverse property)
X=53/6. (Identity property)
The system of equations y = 2x + 5 and y = –3x – 15 is shown on the graph below.
On a coordinate plane, 2 lines intersect at (negative 4, negative 3).
According to the graph, what is the solution to this system of equations?
(–4, –3)
(–3, –4)
(–5, 5)
(5, –5)
Answer: A
Explanation:
Answer:
A. (–4, –3)
Step-by-step explanation:
This is in case any one else had the answer on a different letter.
x⁵+x³-5 is divided by x-2
The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:
1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).
x - 2 | x⁵ + x³ + 0x² + 0x - 5
2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
4. Bring down the next term (-5) from the dividend.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
7. Repeat steps 4-6 until you have subtracted all terms.
x⁴ + 3x³ + 6x² + 12x + 24
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
- (6x³ - 12x²)
12x² + 0x + 0
- (12x² - 24x)
24x + 0
- (24x - 48)
48
8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
For more questions on Polynomial .
https://brainly.com/question/2833285
#SPJ8
What Is 40 percent of 95
Answer:
38
Step-by-step explanation:
95 x 0.40 = 38
Answer: i am fairly sure its 38
Step-by-step explanation:
find the sum
-27 - 3
Need help quick please
Answer:-1/6
Step-by-step explanation:
Draw a line out in the 2nd quadrant.
Your y=\(\sqrt{35}\) hypotenuse=6 use pythagorean theorem to solve for x
6² = 35 + x²
x=1
so
cosΘ = -1/6
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
no solution
Step-by-step explanation:
Answer:
One solution
Step-by-step explanation:
(1288/1935, 236/387)
A particle moves along line segments from the origin to the points (1, 0, 0), (1, 4, 1), (0, 4, 1), and back to the origin under the influence of the force field below. Find the work done.
F(x,y,z) = z2 i + 3xy j + 4y2 k
As per the given line segments, the work done by the particle is 78N.
Line segments:
In meth, then bounded by two distinct points on a line is called as line segment.
Given,
Here we have a particle moves along line segments from the origin to the points (1, 0, 0), (1, 4, 1), (0, 4, 1), and back to the origin under the influence of the force field below.
And we need to find the work done.
While we have the function in the given question as,
=> F(x,y,z) = z²i + 3xy j + 4y²k
Here we have consider that, If C is the path the particle follows, then work done is ∫ₓᵃ F dx.
Then according to the question the force F(x,y,z) = z²i + 3xy j + 4y²k and all four points are in the plane is written as,
z = 1/4 y
So, if S is the at surface with boundary C, so that S is the portion of the plane over the rectangle is calculated as,
=> D=[0,2] x [0,4].
Then as per the stroke's theorem,
=> ∫∫[2z(0) + 3z(1/4) + 4y]
=> ∫∫3z/4 + 4y
=> [39]₀²
=> 78
To know more about Line segments here.
https://brainly.com/question/25727583
#SPJ4
A cylinder has a height of 20 cm and a diameter of
6 cm. What is the volume, in cubic centimeters, of the
cylinder? Use 3.14 for T.
Destiny borrowed $1600 at 6% simple interest to be paid back in 3 years. How much interest will she pay?
The amount of interest to be paid by Destiny on the $1600 loan at 6% rate for 3 years is $288.00.
What is the amount of interest earned over the given time?Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.
The formula calculating simple interest is expressed as;
I = P × r × t
Where P is principal, r is rate and t is time.
Given the data in the question;
Principal P = $1,600Interest rate r = 6%Time t = 3 yearsInterest I = ?First, convert the rate from percent to decimal.
Rate r = 6%
Rate r = 6/100
Rate r = 0.06
Now plug the values into the formula and solve for I
I = P × r × t
I = $1,600 × 0.06 × 3
Interest I = $288.00
Therefore, the interest accumulated by Destiny is $288.00.
Learn more about simple interest here: https://brainly.com/question/25845758
#SPJ1
Isabel Louw claims that she will pay R80 000 more over the period of 15 years. Verify whether th: tatement is valid or not.
If Isabel Louw is indeed paying R80,000 more over a period of 15 years, the total amount she would pay would be R1,200,000 more than the original payment.
To verify whether Isabel Louw's claim is valid or not, we would need more information about the context or specific terms of the agreement or payment plan.
Without additional details, it is not possible to determine the accuracy of the statement.
However, if we assume that the claim is related to a fixed payment over 15 years, we can calculate the amount she would pay in total by multiplying the additional amount of R80,000 by the number of years (15):
\(R80,000 \times 15 = R1,200,000\)
For similar question on total amount.
https://brainly.com/question/29509552
#SPJ11
Question: To verify whether Isabel Louw's claim is valid or not, we would need additional information. The statement mentions that Isabel Louw will pay R80,000 more over a period of 15 years, but it doesn't provide any context about what she is paying for or any specific details regarding the payments or interest rates involved. Without this information, it is not possible to determine the validity of the claim.
Sarah claims that she will score 20 points higher on her math exam compared to her previous test score. Verify whether this statement is valid or not.
Answer this for me please
The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)
Calculating the function valuesGiven that
f(x) = 2x^2 - 2
g(x) = 4x/(x - 1)
So, we have
f(10) = 2(10)^2 - 2 = 198
g(-6) = 4(-6)/(-6 - 1) = 24/7
The range of h(x)Here, we have
h(x) = (7x - 4)/5x
Where
1 < x < 5
So, we have
h(1) = (7(1) - 4)/5(1) = 3/5
h(5) = (7(5) - 4)/5(5) = 31/25
So the range is 3/5 < h(x) < 31/25
The inverse of p(x)Here, we have
P(x) = (5x - 1)/(3 - x)
So, we have
x = (5y - 1)/(3 - y)
This gives
3x - xy = 5y - 1
So, we have
y(5 + x) = -1 - 3x
This gives
y = -(1 + 3x)/(5 + x)
So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)
Read more about functions at
https://brainly.com/question/28532394
#SPJ1
A number times its opposite, increased by seven
????????????????????????????????
grade 11 2022 June common test mathematics memorandum?
Note that the roots of the equation Unequal and rational (Option D)
How is this so ?The roots of the equation (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.
x - 3 = ±√4
⇒ x - 3 = ±2
Solve for x
For the positive square root.
x - 3 = 2
x = 2 + 3
x = 5
For the negative square root.
x - 3 = -2
x = -2 + 3
x = 1
Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)
Learn more about roots of equation at:
https://brainly.com/question/30090611
#SPJ1
Full Question:
Although part of your question is missing, you might be referring to this full question:
The roots of the equation (x - 3)² = 4 are
A.Unequal and irrational.
B.Equal and rational.
C. Equal and irrational.
D. Unequal and rational.
A city has two internet service providers, Charter and Xfinity, with the market share of 30% and
70% respectively. At any given time, the internet speed experienced by a customer of Charter is
between 7Mbps and 15Mbps with all speeds being equally likely. At any given time, the internet
speed experienced by a customer of Xfinity is between 10Mbps and 20Mbps with all speeds being
equally likely. If an internet customer in the city is currently experiencing an internet speed of
12Mbps, what is the probability that the customer is served by Charter?
The probability that the customer is served by Charter with market share of 30% is equal to 34.9%.
Let A be the event that the customer is served by Charter,
and B be the event that the customer is experiencing an internet speed of 12Mbps.
Probability of A given B, which can be written as P(A|B).
Use Bayes' theorem to find P(A|B),
P(A|B) = P(B|A) × P(A) / P(B)
P(A) = 0.3 (the market share of Charter)
and P(B) = P(B/A) × P(A) + P(B / A') × P(A'),
where P(A') = 1 - P(A) = 0.7 (the market share of Xfinity).
P(B|A), the probability of experiencing an internet speed of 12Mbps given that the customer is served by Charter,
All speeds between 7Mbps and 15Mbps are equally likely.
This implies, the probability of experiencing a speed of 12Mbps given Charter is,
P(12Mbps/A) = 1 / (15Mbps - 7Mbps)
= 1 / 8
P(B|A'), the probability of experiencing an internet speed of 12Mbps given that the customer is served by Xfinity,
All speeds between 10Mbps and 20Mbps are equally likely.
This implies, the probability of experiencing a speed of 12Mbps given Xfinity is,
P(12Mbps|A') = 1 / (20Mbps - 10Mbps)
= 1 / 10
Now substitute all the values into Bayes' theorem,
P(A|B) = P(B|A) × P(A) / [P(B|A) × P(A) + P(B |A') × P(A')]
= (1/8) × 0.3 / [(1/8) × 0.3 + (1/10) × 0.7]
= 0.349
Therefore, the probability that the customer is served by Charter given that they are experiencing an internet speed of 12Mbps is 0.255, or about 34.9%.
Learn more about probability here
brainly.com/question/18500308
#SPJ1
Problem 19
If possible sketch an example of the following triangles. If it is not possible, explain why not.
1. A right triangle that is scalene.
2. A right triangle that is isosceles.
3. A right triangle that is equilateral.
The required, example of triangles according to the given situation is given below.
1.
A right triangle that is scalene:
It is possible to have a right triangle that is scalene, meaning that all three sides have different lengths. For example, consider a triangle with legs of length 3 and 4 units, and a hypotenuse of length 5 units
2.
A right triangle that is isosceles:
It is also possible to have a right triangle that is isosceles, meaning that two sides have the same length. For example, consider a triangle with legs of length 3 units, and a hypotenuse of length 3√2 units:
3.
A right triangle that is equilateral:
It is not possible to have a right triangle that is equilateral, meaning that all three sides have the same length. This is because in an equilateral triangle, all three angles are equal, and it can be shown that in a triangle with a right angle, the two non-right angles must be complementary (i.e., they add up to 90 degrees).
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ1
What is the equation of a line that goes through the point(0,2) and has a slope of 1?
Answer:
y=x+2
Step-by-step explanation:
y - 2 = x- 0 >> y = x + 2
Answer:
y=x+2
Step-by-step explanation:
Wilbur landed his plane, causing it to descend at a rate of 0.2 kilometers per minute. He reached the ground after 15 minutes.
Answer:
The first dot should be on 3, and the second should be at 15 so its a linear line.
Step-by-step explanation: