The area of shaded region of standard normal distribution is 0.1292
what is standard normal distribution?
A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution, or z-distribution.
Any normal distribution can be transformed into the common normal distribution by converting the individual values into z-scores. Z-scores indicate the number of standard deviations that each value in a z-distribution is from the mean.
solution:
For - 3.39 to 0
The standard deviation value is : 0.00035
For 0 to 1.13
The standard deviation value is : 0.3708
Then for - 3.39 to + 1.13 :
The area of the given shaded area is 0.1292
Hence,the area of shaded region of standard normal distribution is 0.1292
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How to find the slope of a line passing through (-3,3) , (-5,9)
Answer:
slope = - 3
Step-by-step explanation:
\(slope, m = \frac{y_2 - y_1}{x_2 - x_ 1}\) , \([ \ (x_ 1 , y_ 1 ) = ( -3 , 3 ) , \ (x_2 , y _ 2 ) = ( - 5 , 9 ) \ ]\)
\(slope = \frac{9 - 3}{-4 - ( -3 )} = \frac{6}{-5 + 3} = \frac{6}{-2} = -3\)
Simplify (5.1)(5.12)4.
(5.1)6
(5.1)7
(5.1)8
(5.1)9
The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
How to simplify the expression?The expression is given as:
(5.1)(5.12)4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1) * (5.1^8)
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1)^(1 + 8)
Evaluate the sum
(5.1)(5.1^2)^4 = (5.1)^9
Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
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Mr. Estrada's car can travel no more than 510 miles on one full tank of gasoline. After filling up the tank with gasoline, he traveled 194 miles in the car. Write an inequality that represents the values of m, the number of miles Mr. Estrada can travel in the car with the remaining gasoline in the tank and solve.
please help me!! this is due very soon
Answer:
Step-by-step explanation:
The required inequality x + m ≤ 510, and the distance is 316 miles.
What is inequality?Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.
Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.
Let,
x miles = distance already traveled
m miles = distance miles can travel with remaining gas
510 = max. miles can travel on a full tank
As per the given question,
The inequality will be written as,
x + m ≤ 510
194 + m ≤ 510
m ≤ 510 - 194
Apply the subtraction operation, and we get
m ≤ 316
Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.
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which graph represents the solution to 7x < 21 or 6x -9 > 21
Answer:
There is no solution, though the lines are confirmed as dashed with the shaded area being on the outer sides.
Step-by-step explanation:
above
Look below giving brainliest
Answer:
15
Step-by-step explanation:
I think it's 15....yeah
simplify 4x+5y x+2y x+2y 4x+5y
Answer:
The answer is 10x+14y
4x+4x+x+x=10x
5y+5y+2y+2y= 14y
Step-by-step explanation:
Gasoline prices for the first six months of 2004 are shown in the table below. Using a logarithmic model, what is the best
prediction for gas prices in the ninth month of 2004?
Answer:
A) $2.10
Step-by-step explanation:
I got it right on edge
Answer:
A $2.10
Step-by-step explanation:
edgw 2020
Check the image for the question.
The mathematical model that best fits the given data is option : y = 82.3 - 8.275x.
To construct a scatterplot and determine the mathematical model that best fits the given data, we will plot the points and analyze the trend.
Given Data:
x: 4, 8, 12, 16, 20
y: 40, 20, -11, -37, -97
Let's plot these points on a scatterplot:
(x, y) points:
(4, 40)
(8, 20)
(12, -11)
(16, -37)
(20, -97)
After plotting the points, we can analyze the trend in the data.
By observing the scatterplot, it is clear that a linear or quadratic model would not fit the data well since the points do not follow a straight line or a parabolic curve.
Next, we can try the logarithmic, exponential, and power models to see if any of them fit the data better.
Using a calculator or computer to perform the regression analysis, we find that the regression equation with the highest R² value is:
y = 82.3 - 8.275x
This equation corresponds to option : y = 82.3 - 8.275x
The regression equation represents a linear model that best fits the given data. The R² value indicates how well the model explains the variability in the data, and in this case, the linear model provides the highest R² value compared to the other models.
It's important to note that the specific values of the coefficients in the regression equation may vary slightly depending on the calculator or software used for the analysis. However, the overall best-fit model remains the same.
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There's a rhombus with sides, 2x + y + 1, 1.5x - 0.5y - 1 and x-y, find the perimeter
Answer :59.9
Step-by-step explanation:
The expression, (5 > 57 % 8), evaluates to ____. true false
The expression, (5 > 57 % 8), evaluates to false.
To determine if the expression (5 > 57 % 8) evaluates to true or false, we need to first calculate the value of 57 % 8.
Step 1: Calculate 57 % 8, which represents the remainder when 57 is divided by 8.
57 % 8 = 1
Step 2: Compare 5 and the result from Step 1 using the '>' operator.
5 > 1
Step 3: Determine if the comparison in Step 2 is true or false.
Since 5 is greater than 1, the expression evaluates to true.
So, the expression (5 > 57 % 8) evaluates to true.
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At the amusement park there were t-shirts for sale for $18.95 each. James bought 4 of them. About how much did he spend?
1. 24$
2. 75.80$
3. 80$
4. 60$
Step-by-step explanation:
the the answer is number two, $75.80
was it number 3 $80
since its not to be exact
The sum of 2 numbers is 20 their difference is 4 what are the 2 numbers
Answer: 12 and 8
Step-by-step explanation:
Their difference is four while others aren't.
a large population of indian elephants has an average height of 9 feet; the sd of the lengths is 0.75 feet. fill in the blanks: if 10 elephants are selected at random, the average height of these 10 is expected to be about feet, but the actual value of the sample average is random. due to this randomness, the typical distance the sample average is away from its expected value is about feet. group of answer choices 10; 0.24 10; 0.75 8; 0.75 9; 0.46 10; 0.46 9; 0.24
The actual value of the sample average may vary due to chance, and the typical distance it is away from the expected value is about 0.24 feet.
Given that a large population of Indian elephants has an average height of 9 feet with an SD of 0.75 feet, we can use this information to answer the following questions.
If 10 elephants are selected at random, the expected average height of these 10 elephants is still 9 feet. This is because the population average height of 9 feet remains unchanged, even if we randomly select a smaller group of elephants.
However, the actual value of the sample average may vary due to chance. This variation in the sample average is measured by the standard error of the mean (SEM). The SEM is calculated as the standard deviation of the sample divided by the square root of the sample size. For a sample size of 10, the SEM would be 0.24 feet.
Therefore, the typical distance the sample average is away from its expected value is about 0.24 feet. This means that if we were to repeat this random sampling process many times, the average height of the 10 elephants would vary by approximately 0.24 feet on average.
In summary, if 10 elephants are randomly selected from a large population of Indian elephants with an average height of 9 feet and an SD of 0.75 feet, we can expect the average height of these 10 elephants to be 9 feet.
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Luke saves $5 for every $2 he spends.
Complete the ratio table to show the relationship between the amount saved compared to the amount spent.
Answer:
5:2
10:4
15:6
20:8
Is this what format you wanted the answer?
Step-by-step explanation:
The ratio will be: 5 : 2
What property of triangle congruence states that if a â B then B â A?
The property of the triangle congruence state that a ≅ B then B ≅ A are:
The state of each angles A is ∠A≅∠A . An angle is congruent to itself angle.For every angles A and B and if ∠A≅∠B , then ∠B≅∠A . The order of congruence of the angle does not matter.What is the triangle?The triangle is a polygon that has 3 edge and vertices. Triangle is one of the basic shape in the geometric. The area of the triangle is formulated as base of the triangle * height of triangle x 0,5. The value of three triangle edge degree is 180°.
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equals 20+20=40 Expression value is
Answer:
expression is 20. +20...
luis tiene 3 años más que
Ines. La edad de Antonio
suma de las edades de ambos.
¿ Cuales Son las edades de Luis
e Ine's si antonio tiene 15 años?
Answer:
NMHGJMHBNKJ6T76 5745
Step-by-step explanation:
7657457657776767
Four less than two is written algebraically as?
Answer:
4<2
Step-by-step explanation:
Answer:
4-2
Step-by-step explanation:
What process allows your body to cool off on a hot day?
A. insulation
B. evaporation
C. convection
(Ik I put the subject as math it's cuz biology hardly gets any answers)
Answer:
I believe the Answer is B
Answer:
B. evaporation
Step-by-step explanation:
The ratio of collectible coins Juanita owns to coins that Elia owns is 3:1. Elia has 32 coins. How will the ratio of Juanita’s coins to Elia’s coins change if they both sell one fourth of their coins? Explain.
Constructing Functions Express the gross salary G of a person who earns $14 per hour as a function of the number x of hours worked. Find the domain. - Population as a Function of Age The function P(a) = 0.027a2 6.530a + 363.804 represents the population P (in millions) of Americans that are a years of age or older in 2015. (a) Identify the dependent and independent variables. (b) Evaluate P(20). Provide a verbal explanation of the meaning of P(20). (c) Evaluate P(0). Provide a verbal explanation of the meaning of P(0).
(a) The independent variable is age (a) and the dependent variable is population (P).
(b) P(20) = 6.38 million. This means that 6.38 million Americans were 20 years or older in 2015.
(c) P(0) = 363.804 million. This means that 363.804 million Americans were 0 years or older in 2015.
Can the sides of a triangle have lengths 1, 3, and 6?
yes
no
Answer:
no
Step-by-step explanation:
Answer: No
The Triangle Inequality Theorem states that the sum of the lengths of any 2 sides of a triangle must exceed the length of the third side.
1+3>6 is not true
1+6>3 is true
6+3>1 is true
URGENT!!HURRY!!PLS!!
Answer:
Step-by-step explanation:
\(\sqrt{}\)A ^ 2 + B ^2 = C ^2 for hypotenuse
20^2 + 5^2 = C
400+25 = 425
\(\sqrt{425}\) = 20.61
20.61 is hypotenuse.
X = 180 - 20.61 = 159.39
Hope that helps
Find the distance between the points (4,5) and (10, – 3). Round decimals to the nearest tenth
Answer:
10 is the distance.
Solve the following modulo equations/congruences: A. 3x - 107 mod 12. B. 5x + 3 -102 mod 7 C. 66 + 9 mod 11
A. The solution to the congruence 3x - 107 ≡ 0 (mod 12) is x ≡ 1 (mod 12).
B. The solution to the congruence 5x + 3 - 102 ≡ 0 (mod 7) is x ≡ 6 (mod 7).
C. The solution to the congruence 66 + 9 ≡ 0 (mod 11) is x ≡ 4 (mod 11).
To solve modulo equations or congruences, we need to find values of x that satisfy the given congruence.
A. For the congruence 3x - 107 ≡ 0 (mod 12), we want to find an x such that when 107 is subtracted from 3x, the result is divisible by 12. Adding 107 to both sides of the congruence, we get 3x ≡ 107 (mod 12). By observing the remainders of 107 when divided by 12, we see that 107 ≡ 11 (mod 12). Therefore, we can rewrite the congruence as 3x ≡ 11 (mod 12). To solve for x, we need to find a number that, when multiplied by 3, gives a remainder of 11 when divided by 12. It turns out that x ≡ 1 (mod 12) satisfies this condition.
B. In the congruence 5x + 3 - 102 ≡ 0 (mod 7), we want to find an x such that when 102 is subtracted from 5x + 3, the result is divisible by 7. Subtracting 3 from both sides of the congruence, we get 5x ≡ 99 (mod 7). Simplifying further, 99 ≡ 1 (mod 7). Hence, the congruence becomes 5x ≡ 1 (mod 7). To find x, we need to find a number that, when multiplied by 5, gives a remainder of 1 when divided by 7. It can be seen that x ≡ 6 (mod 7) satisfies this condition.
C. The congruence 66 + 9 ≡ 0 (mod 11) states that we need to find a value of x for which 66 + 9 is divisible by 11. Evaluating 66 + 9, we find that 66 + 9 ≡ 3 (mod 11). Hence, x ≡ 4 (mod 11) satisfies the given congruence.
Modulo arithmetic or congruences involve working with remainders when dividing numbers. In a congruence of the form a ≡ b (mod m), it means that a and b have the same remainder when divided by m. To solve modulo equations, we manipulate the equation to isolate x and determine the values of x that satisfy the congruence. By observing the patterns in remainders and using properties of modular arithmetic, we can find solutions to these equations.
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Write a vector equation of the line that is perpendicular to vector a
and passing through point B with position vector b
were a
=⟨1,−3,1⟩ b
=(2,5,−1) What makes your answer correct? 2. Find the values of m and n so that vector 2
+7
+m k
is parallel to vector 6
+n
−21 k
Check if your answer is correct.
The vector \(\begin{pmatrix} 2 \\ 7 \\ -7 \end{pmatrix}\) is parallel to \(\begin{pmatrix} 6 \\ 21 \\ -21 \end{pmatrix}\), and the values of m and n are -7 and 21, respectively.
The vector equation of the line that is perpendicular to vector a and passes through point B with position vector b is given by (in component form):
\((x,y,z) = (2,5,-1) + t(-3,-1,3)\)
To check if this line is perpendicular to vector a, we can calculate the dot product of the direction vector of the line and vector a:\(\begin{aligned} (-3,-1,3) \cdot (1,-3,1) &= -3(1)+(-1)(-3)+3(1) \\ &=0\end{aligned}\)
Since the dot product is zero, the line is perpendicular to vector a. To find the values of m and n so that \(\begin{pmatrix} 2 \\ 7 \\ m \end{pmatrix}\) is parallel to \(\
begin{pmatrix} 6 \\ n \\ -21 \end{pmatrix}\),
we can set the components proportional to each other and solve for m and n:\(\frac{2}{6}
= \frac{7}{n}
= \frac{m}{-21}\)
Solving for n and m gives:
\(n
= \frac{7 \cdot 6}{2}
= 21, \quad m = \frac{2 \cdot (-21)}{6}
= -7\)
Therefore, the vector \(\begin{pmatrix} 2 \\ 7 \\ -7 \end{pmatrix}\) is parallel to \(\begin{pmatrix} 6 \\ 21 \\ -21 \end{pmatrix}\), and the values of m and n are -7 and 21, respectively.
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Humble ISD
G 800 x 162
G Should playing tagi
GL
Graded Work: Trig Mixed Practice
Use the inverse trig ratios to find the value of the missing angle. Round to the nearest WHOLE NUMBER.
40
25
Angle
Answer:
esdfvc
324
Step-by-step explanation:
What is the completely factored form of xy - 4xły - 5y?
The table shows a function. Is the function linear or nonlinear?
Answer:
Linear!
Step-by-step explanation:
Answer:
Linear
Step-by-step explanation:
Hey There!
This is an example of a linear function
A linear function is a function that moves at a constant rate and this function moves up 2 times every time therefore it is a function
A furniture maker buys foam rubber x times per year. The delivery charge is a flat rate of $400 dollars per purchase regardless of how much is bought. The annual cost of storage is figured as $10,000/x, because the more frequent the purchase, the less it costs for storage. The annual cost is: C = 400x+10,000/x
A. Graph the function.
B. Find the number of purchases per year that minimizes the annual cost of delivery and storage.
Answer:
Should be B
Step-by-step explanation: