Answer:
The probability of rain on both Monday and Tuesday is .08, or approximately 8%.
Step-by-step explanation:
The probability of an event occurring on two separate days (such as rain on Monday and Tuesday) is calculated by multiplying the probabilities of the two events occurring separately. In this case, the probability of rain on both Monday and Tuesday is given by:
Probability of rain on Monday * Probability of rain on Tuesday = .1 * .8 = .08
Therefore, the probability of rain on both Monday and Tuesday is .08, or approximately 8%.
It's important to note that this probability assumes that the likelihood of rain on each day is independent of the other day. In other words, the probability of rain on Tuesday does not depend on whether or not it rained on Monday. If this is not the case, the probability of rain on both days may be different.
In a triangle HIJ, h = 40 cm, ZJ=20° and ZH=93º. Find the length ofj, to the nearest
centimeter
Answer:
triangle ZJ=20°
Step-by-step explanation:
I think correct it
Answer:
14
Step-by-step explanation:
13.7 ---------------14
Using a breakeven analysis, determine how long it would take for the following options in auto insurance deductibles / premiums to break even.
Option 1: $500 deductible comes with a $775 annual premium.
Option 2: $1,000 deductible comes with a $650 annual premium.
How many years without a claim would it take for the two options to break even?
Answer: It would take 4 years without a claim for Option 2 to break even with Option 1. After 4 years, the savings from the lower premium on Option 2 would offset the higher deductible, resulting in lower total cost.
Step-by-step explanation: To calculate the break-even point, we need to determine the point at which the savings from the lower premium on Option 2 offset the higher deductible.
Option 1:
Annual Premium = $775
Deductible = $500
Option 2:
Annual Premium = $650
Deductible = $1000
Let x be the number of years without a claim.
For Option 1, the total cost over x years would be:
Total Cost = $775x + $500
For Option 2, the total cost over x years would be:
Total Cost = $650x + $1000
To find when the two options break even, we need to set these two equations equal to each other and solve for x:
775x + 500 = 650x + 1000
125x = 500
x = 4
Therefore, it would take 4 years without a claim for Option 2 to break even with Option 1. After 4 years, the savings from the lower premium on Option 2 would offset the higher deductible, resulting in lower total cost.
Calculate the volume of this prism.
4 cm
10 cm
5 cm
8 cm
12cm
Answer:
\(800cm^{3}\)
Step-by-step explanation:
Separate into two shapes with
then use fomula length * width * height
shape 1: 7*8*10=560cm^3
Shpe 2: 5*8*6 =240cm^3
Add the two shapes 560+240=800cm^3
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joyce wants to survey a simple sample of 10 people from members of a gym list which of the following sample methods are not
The sampling methods here that are not examples of simple random sampling are;
A) Select the first 10 people from a list of members.
B) Ask 10 members in the gym on a Monday morning
E) Select every 20th person from a list of members until she has 10 .
F) Ask all members of the gym
What is the importance of simple random sampling?A subset of a certain population chosen at random is referred to as a simple random sample. You'll see that each person in the population has an exact equal probability of getting chosen using this sampling technique.
Simple random sampling is significant because it eliminates all prejudice because each member has an equal probability of being chosen. As a result, it will provide a good illustration of the topic of our investigation.
A) Choose the top 10 individuals from a list of members; this is not a straightforward random sampling because the selection is targeted rather than random.
B) This is not random because it is particular to one day of the week—a Monday morning—and we have no idea who might show up on other days.
C) Pick 10 people at random from a list using a random number generator; this is known as basic random sampling.
D) Without looking, choose the names of 10 members at random from a box; this method is random since each member has an equal chance of being chosen.
E) Choose 10 members at a time from a list of members; this is not a random process because not all members have an equal probability of getting chosen.
F) Consult with every gym patron; this is not a random pick.
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three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
Does anyone know this answer??
Approximately 99.7% of scores lie in the shaded region.
We have,
The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.
According to this rule:
Approximately 68% of scores lie within 1 standard deviation of the mean.
Approximately 95% of scores lie within 2 standard deviations of the mean.
Approximately 99.7% of scores lie within 3 standard deviations of the mean.
Now,
In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.
This encompasses the area within 3 standard deviations of the mean.
And,
Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.
Therefore,
Approximately 99.7% of scores lie in the shaded region.
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write your answer in simplest radical form
Answer:
a = 4\(\sqrt{3}\)
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos60° = \(\frac{1}{2}\) , then
cos60° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{2\sqrt{3} }{a}\) = \(\frac{1}{2}\) ( cross- multiply )
a = 4\(\sqrt{3}\)
1) Ella is making crepes for brunch guests. The number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served. Which statements are correct for this situation?
Answer:
b,d,c
Step-by-step explanation:
y = 1 4 x calculates the number of eggs, y, for x crepes. The constant of proportionality is 1 4 . Ella needs 15 eggs to make 60 crepes. y = kx, where k is the constant of proportionality → y = 5 eggs 20 crepes x → y = 1 4 x; thus, k = 1 4 y = 1 4 (60) = 15 eggs
For 60 creps, 15 eggs will be needed.
What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that the number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served
Now, for 20 creps, 5 eggs are needed.
Then for 1 crep, (5/20) eggs are needed.
For 60 creps, (5/20) x 60 = 15 eggs will be needed.
Therefore, For 60 creps, 15 eggs will be needed.
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Write the equation of the parabola that has the vertex at point (2,7) and passes through
the point (-1,3).
Answer:
\(f(x) = \frac{4}{3} (x - 2) ^{2} + 7\)
Step-by-step explanation:
the answer is :- .
\(f(x) = \frac{4}{3} (x - 2) ^{2} + 7\)
Answer:
y=-4(x+2)^2+7
Step-by-step explanation:
in a certain quadrilateral, the three shortest sides are congruent and both diagonals are as long as the longest side. what is the degree measure of the largest angle of tihs quadrilateral
The measurement of the largest angle of the quadrilateral is 108°
Given,
Quadrilateral;
A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
Here,
Three shortest sides of the quadrilateral are congruent.
Both diagonals are as long as the longest side.
That is,
Side 1 ≅ Side 2 ≅ Side 3
Side 4 = Diagonal 1 = Diagonal 2
Then,
The largest angles of the quadrilateral will be 108°
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What is the value of x?
Answer:
35 degrees
Step-by-step explanation:
180-95=85
180-(85+60)=35
Question 3(Multiple Choice Worth 1 points)
(05.02 MC)
Solve the system of equations using substitution.
4x + 2y = 6
x = 2y + 4
(1, 1)
(2,-1)
(8,2)
(10,3)
Answer:
(2,-1)
Step-by-step explanation:
We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:
4(2y + 4) + 2y = 6
Simplifying the left side:
8y + 16 + 2y = 6
Combining like terms:
10y + 16 = 6
Subtracting 16 from both sides:
10y = -10
Dividing both sides by 10:
y = -1
Now that we know y, we can use the second equation to find x:
x = 2y + 4
x = 2(-1) + 4
x = 2
Therefore, the solution to the system of equations is (x, y) = (2, -1).
The correct answer choice is (2, -1).
Calculate the GPA of a student with the following grades: B (77 hours), D (66 hours), F (2020 hours). Note that an A is equivalent to 4.04.0, a B is equivalent to a 3.03.0, a C is equivalent to a 2.02.0, a D is equivalent to a 1.01.0, and an F is equivalent to a 00. Round your answer to two decimal places.
Answer:
The student's GPA is of 0.82.
Step-by-step explanation:
GPA:
To find the student's GPA, we find his weighed mean.
Grades:
7 hours worth 3(B)
6 hours worth 1(D)
20 hours worth 0(F). So
\(M = \frac{7*3 + 6*1 + 20*0}{7+6+20} = 0.82\)
The student's GPA is of 0.82.
Find the midpoint of points A(-8, 2) and B(-5, 10)
Answer:
-40×20
= -40/20
= -2
Step-by-step explanation:
(a) The number of terms in an arithmetic progression is 40 and the last is -54. Given that the sum of the 15 terms added to the sum of the first 30 terms is zero. Calculate (1) The first term and common difference, (ii) the sum of the progression.
(i) The first term (a) is 24 and the common difference (d) is -2.
(ii) The sum of the progression is 2520.
i) Finding the first term and common difference:
Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).
The nth term formula is: An = a + (n-1)d
Using the given information, we can substitute the values:
-54 = a + (40-1)d
-54 = a + 39d
We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:
S15 + S30 = 0
The sum of the first n terms of an arithmetic progression can be calculated using the formula:
Sn = (n/2)(2a + (n-1)d)
Substituting the values for S15 and S30:
[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0
Simplifying the equation:
15(2a + 14d) + 30(2a + 29d) = 0
30a + 210d + 60a + 870d = 0
90a + 1080d = 0
a + 12d = 0
a = -12d
Substituting this value into the equation -54 = a + 39d:
-54 = -12d + 39d
-54 = 27d
d = -2
Now we can find the value of a by substituting d = -2 into the equation a = -12d:
a = -12(-2)
a = 24
Therefore, the first term (a) is 24 and the common difference (d) is -2.
ii) Finding the sum of the progression:
The sum of the first n terms of an arithmetic progression can be calculated using the formula:
Sn = (n/2)(2a + (n-1)d)
Substituting the values:
S40 = (40/2)(2(24) + (40-1)(-2))
S40 = 20(48 - 39(-2))
S40 = 20(48 + 78)
S40 = 20(126)
S40 = 2520
Therefore, the sum of the arithmetic progression is 2520.
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CAN SOMEONE HELP WALLAHI THIS IS SO HARDDDDDD
Answer:
3\(\sqrt{5}\)
What is the solution to the system of equations below?
y = 3x + 9
y = -3x + 12
Answer:
21
Step-by-step explanation:
y = 3x + 9
y = -3x + 12
y=21
Answer:
Is any of these correct?
I need help pls pls pls
Answer:
The lateral surface area of a cylinder is the area of the curved surface that goes around the cylinder. It can be calculated using the formula:
Lateral Surface Area = 2πrL
where π is pi, r is the radius, and L is the length of the cylinder.
The total surface area of a cylinder is the sum of the lateral surface area and the area of the two circular end caps. It can be calculated using the formula:
Total Surface Area = 2πrL + 2πr^2
Given that r = 20mm and L = 75mm, we can use these values to find the lateral and total surface area of the cylinder:
Lateral Surface Area = 2πrL = 2 * 3.14 * 20mm * 75mm = 4712 mm^2
Total Surface Area = 2πrL + 2πr^2 = 2 * 3.14 * 20mm * 75mm + 2 * 3.14 * 20mm^2 = 4712 mm^2 + 1256 mm^2 = 5968 mm^2
1x²- 16x = 20 is mg questions
The solutions to the equation 1x² - 16x = 20 are x = 8 + 2√21 and x = 8 - 2√21.
To solve the quadratic equation 1x² - 16x = 20, we need to rearrange it into the standard form ax² + bx + c = 0. Let's simplify the equation step by step:
1x² - 16x = 20
First, move all terms to one side of the equation:
1x² - 16x - 20 = 0
Now we have a quadratic equation in the standard form. To solve it, we can use factoring, completing the square, or the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For our equation, a = 1, b = -16, and c = -20. Substituting these values into the quadratic formula:
x = (-(-16) ± √((-16)² - 4(1)(-20))) / (2(1))
Simplifying further:
x = (16 ± √(256 + 80)) / 2
x = (16 ± √336) / 2
x = (16 ± √(16 * 21)) / 2
x = (16 ± 4√21) / 2
Simplifying:
x = 8 ± 2√21
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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
The true equations are x²- 4 = 0 and 4x² = 16. the correct options are A and C.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
The two equations that are true for x = -2 and x = 2 are:
x²- 4 = 0 (true for x = -2 and x = 2)
4x² = 16 (true for x = -2 and x = 2)
To check this, we can substitute -2 and 2 into each equation and see if they are equal to 0:
(-2)² - 4 = 0, 2² - 4 = 0 (true for x = -2 and x = 2)
4(-2)²= 16, 4(2)² = 16 (true for x = -2 and x = 2)
The other three equations, x² = -4, 3x2 + 12 = 0, and 2(x - 2)²= 0, are not true for either x = -2 or x = 2.
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I need help this is almost due and i'm stuck please help I don't want to fail .
What is the volume of the container below? 2 rectangular prisms. A rectangular prism has a length of 14 inches, width of 6 inches, and height of 16 inches. A rectangular prism has a length of 10 inches, width of 6 inches, and height of 4 inches. 576 inches cubed 1,080 inches cubed 1,584 inches cubed 1,920 inches cubed
PLEASE ANSWER FAST ITS MY CUMULATIVE EXAM
Answer:
The volume of the container is 1584 inch³.
Step-by-step explanation:
The volume of a rectangular prism is:
\(\text{Volume}=\text{l}\times\text{w}\times\tect{h}\)
It is provided that the container is made up of two rectangular prisms.
The dimensions are as follows:
Prism 1: length of 14 inches, width of 6 inches, and height of 16 inches.Prism 2: length of 10 inches, width of 6 inches, and height of 4 inches.Compute the volume of the rectangular prism 1 as follows:
\(\text{V_{1}}=\text{l}_{1}\times\text{w}_{1}\times\text{h}_{1}\)\(\text{V}_{1}=\text{l}_{1}\times\text{w}_{1}\times\text{h}_{1}\)
\(=14\times 6\times 16\\=1344\)
Compute the volume of the rectangular prism 2 as follows:
\(\text{V_{1}}=\text{l}_{1}\times\text{w}_{1}\times\text{h}_{1}\)\(\text{V}_{2}=\text{l}_{2}\times\text{w}_{2}\times\text{h}_{2}\)
\(=10\times 6\times 4\\=240\)
Then the volume of the container will be:
\(\text{Volume of container}=\text{V}_{1}+\text{V}_{2}\)
\(=1344+240\\=1584\)
Thus, the volume of the container is 1584 inch³.
Answer:
Step-by-step explanation:
What is the volume of the container below?
2 rectangular prisms. A rectangular prism has a length of 14 inches, width of 6 inches, and height of 16 inches. A rectangular prism has a length of 10 inches, width of 6 inches, and height of 4 inches.
576 inches cubed
1,080 inches cubed
1,584 inches cubed
1,920 inches cubed
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
Jim ate two slices of pizza, which is 25% of the pizza. How many slices were in the whole pizza?Sonya buys a baseball jersey for her brother on sale for 20% off. If the price she paid was $6 lower than the regular price, what was the original price of the jersey
There were 8 slices in the whole pizza.
How many slices were in the whole pizza if Jim ate two slices?An equation means the formula that expresses the equality of two expressions by connecting them with the equals sign =. Let us assume the number of slices in the whole pizza is "x".
Since Jim ate two slices which is 25% of the pizza, we will set up the equation:
2 = 0.25x
To solve for "x":
2 / 0.25 = x
x = 8.
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A farmer used 204 feet of fencing to enclose a garden in the shape of a rectangle. If the length of the garden is twice the width, what is the width of the garden?
A) 34ft
B) 40.8ft
C) 51ft
D) 68ft
E) 81.6ft
Answer:
A
Step-by-step explanation:
Area=L+L+B+B
L=2
B=1
So, L+L+B+B=6
204/6=34
So, it's 34 ft, which is A.
!
A washer and dryer cost a total of 928$. The cost of the washer is three times the cost of the dryer. Find the cost of each item.
Answer:
Cost of Washer = $696
Cost of Dryer = $232
Step-by-step explanation:
Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.
Put the equation together, so we can add the x variables together.
3x + x = 4x
The total cost will be what the '4x' is equal to.
4x = 928
Going back to algebra, we solve the equation by dividing both sides by 4.
x = 232
Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.
3x
3(232) = 696.
To check the answer, we can add them together to make sure we get the total cost.
696 + 232 = 928
7.EE.1.1
An expression is shown.
(0.25n - 0.3) – (0.8n - 0.25)
Create an equivalent expression without parentheses.
Answer:
-0.55n - 0.05
Step-by-step explanation:
You can start by distributing:
(0.25n - 0.3) - (0.8n - 0.25)
0.25n - 0.3 - 0.8n + 0.25
Then, you can combine like terms(0.25n & -0.8n; -0.3 & 0.25)
-0.55n - 0.05
Answer:
-0.55n - 0.05
Step-by-step explanation:
(0.25n - 0.3) – (0.8n - 0.25)
When subtracting the signs change
0.25n - 0.3 - 0.8n + 0.25
Regroup like terms
0.25n - 0.8n - 0.3 + .25
Combine like terms
-0.55n - 0.05
PLEASE HELP!!!!!!!!!!!
9514 1404 393
Answer:
a. plane DEA
Step-by-step explanation:
A plane can be named by naming any 3 non-collinear points in the plane, or by using the plane's name as indicated in the drawing.
Here, points in the plane are A, D, E, F, with DEF all on the same line. So A plus any two points from the line will constitute a name for the plane. Also, this plane is identified with a script M that can be used to name the plane.
M is not an answer choice, but DEA is. So, the appropriate choice is ...
plane DEA
__
F is a point, not a plane name. C is not on the plane, so cannot be used to name it. 'k' is a line name, not a plane name.
A time series-based forecast is a form of ____ or, assuming that patterns observed in historical data will prevail in the future.
Time series forecasts are developed based on time series analysis, which comprises methods for analyzing time series data to extract meaningful statistics and other characteristics of the data.
One of the most often used data science techniques in business, finance, supply chain management, production, and inventory planning is time series forecasting.
A time component is often present in prediction difficulties, necessitating the extrapolation of time series data or time series forecasting. Another crucial field of machine learning (ML) is time series forecasting, which may be viewed as a supervised learning issue.
It can be subjected to ML techniques including regression, neural networks, support vector machines, random forests, and XGBoost. Using models created from historical data to anticipate future observations is known as forecasting.
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Let A, B, C be three points with position vectors a, b, c respectively. You may assume that the three points A, B, C do not all lie on the same straight line. Let D, E, F be the midpoints of the line-segments BC, AC, AB respectively. What is the point with position vector 1/3 (a+b+c)?
The midpoint of three points with the position vector 1/3(a + b + c) is given by:
P = (b + c - B - C) / 2 + (1/3)(b + c)
The point with the position vector 1/3(a + b + c) is given by:
P = F - (2/3)D - (1/3)E + (1/3)(b + c)
To find the point with the position vector 1/3(a+b+c), we can use the fact that the position vector of a point that divides a line segment in a given ratio can be found by taking the weighted average of the position vectors of the endpoints.
Given that D, E, and F are the midpoints of line segments BC, AC, and AB, respectively, we know that:
D = (B + C) / 2
E = (A + C) / 2
F = (A + B) / 2
To find the point with the position vector 1/3(a+b+c), we can substitute a = 3F - 2D - E into the equation:
1/3(a + b + c) = 1/3((3F - 2D - E) + b + c)
Expanding the equation further:
1/3(a + b + c) = 1/3(3F - 2D - E + b + c)
= (F - (2/3)D - (1/3)E) + (1/3)(b + c)
Therefore, the point with the position vector 1/3(a + b + c) is given by:
P = F - (2/3)D - (1/3)E + (1/3)(b + c)
Substituting the midpoints:
P = (A + B) / 2 - (2/3)((B + C) / 2) - (1/3)((A + C) / 2) + (1/3)(b + c)
= (A + B - 2B - 2C - A - C + b + c) / 2 + (1/3)(b + c)
= (b + c - B - C) / 2 + (1/3)(b + c)
Therefore, the midpoint of three points with the position vector 1/3(a + b + c) is given by:
P = (b + c - B - C) / 2 + (1/3)(b + c)
The point with the position vector 1/3(a + b + c) is given by:
P = F - (2/3)D - (1/3)E + (1/3)(b + c)
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