Statement D is false, -1 ≠ -(-1) because -1 ≠ 1
4.3.3 Refer to Exercise 4.3.1. Suppose we select a simple random sample of five adults. Use Equation 4.3.2 to find the probability that, in the sample, the number of people who have been told that they have hypertension will be: (a) Zero (b) More than one (c) Between one and three, inclusive (d) Two or fewer (e) Fiv
The probabilities of the number of people told that they have hypertension, using the binomial distribution, are given as follows:
a) Zero: 0.2536 = 25.36%.
b) More than 1: 0.3461 = 34.61%.
c) Between one and three: 0.7331 = 73.31%.
d) Two or fewer: 0.9068 = 90.68%.
e) Five: 0.0008 = 0.08%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of these parameters for this problem are given as follows:
p = 0.24, n = 5.
Hence the probability for each outcome in the distribution is given as follows:
P(X = 0) = (1 - 0.24)^5 = 0.2536.P(X = 1) = 5 x 0.24 x (1 - 0.24)^4 = 0.4003.P(X = 2) = 10 x 0.24² x (1 - 0.24)³ = 0.2529.P(X = 3) = 10 x 0.24³ x (1 - 0.24)² = 0.0799.P(X = 4) = 5 x 0.24^4 x (1 - 0.24) = 0.0126.P(X = 5) = (0.24)^5 = 0.0008.Hence the missing probabilities are given as follows:
b) More than 1: 1 - (0.2536 + 0.4003) = 0.3461 = 34.61%.
c) Between one and three: 0.4003 + 0.2529 + 0.0799 = 0.7331 = 73.31%.
d) Two or fewer: 0.2536 + 0.4003 + 0.2529 = 0.9068 = 90.68%.
Missing InformationThe probability that a person has hypertension is given as follows:
p = 0.24.
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When Ali was 8 years old she was 127 cm tall. By the time she was 12 she had grown
to 147.3 cm tall. Using the line of best fit predict her height at age 15. (Round the
answer to the nearest tenths)
Answer: 162.5
Step-by-step explanation:
Answer:
The answer is 235.7
Step-by-step explanation:
Have a great day =)
Which graph represents the solution to the following inequality? 3x - 2y ≥ 6
Answer:
First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.
For:
x
=
0
(
3
⋅
0
)
+
2
y
=
6
0
+
2
y
=
6
2
y
=
6
2
y
2
=
6
2
y
=
3
or
(
0
,
3
)
For:
y
=
0
3
x
+
(
2
⋅
0
)
=
6
3
x
+
0
=
6
3
x
=
6
3
x
3
=
6
e
d
)
(
3
)
x
=
2
or
(
2
,
0
)
We can now graph the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.
graph{(x^2+(y-3)^2-0.125)((x-2)^2+ y^2-0.125)(3x+2y-6)=0 [-20, 20, -10, 10]}
Now, we can shade the left side of the line. And we need to make the boundary line a dashed line because the inequality operator does not contain an "or equal to" clause.
graph{(3x+2y-6) < 0 [-20, 20, -10, 10]}
Step-by-step explanation:
Checkpoint 4 is -117 and checkpoint 3 is -212 how much higher is checkpoint 4 than 3
Answer:4 = -117,3=-212,4+3
Step-by-step explanation:
a spinner has an equal chance of landing on either red, blue, green, or yellow. You spin seven times. What is the probability that spinner lands on yellow exactly four times?
Answer:
4 of 7
Step-by-step explanation:
how to simplify 93.37
Answer: simplified to the tens digit would be 93.4 simplified overall would just be 93.
Step-by-step explanation: Hope this helps, please mark brainliest, and give thanks!
pleasee help with these questions
Answer:
vinyl = 201.06 in
disc = 11309.73mm
hope this helped
Step-by-step explanation:
Please help me fast i need help please
Which is a true statement regarding Springside?
Springside does not affect the correlation.
Springside weakens the correlation shown in the scatterplot.
Springside strengthens the correlation shown in the scatterplot.
Removing Springside would increase the value of the correlation coefficient.
The result of the interpretation of the graph:
Spring side weakens the correlation shown in the scatter plot.
The correct option is D.
What is a correlation coefficient?The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.
Given:
The mean test score is represented in the scatter plot as a function of the average class size.
This demonstrates that there is a negative link between the mean class size and the mean test score,
with the mean score decreasing as the mean class size increases.
The correct response is:
Spring-side decreases the association displayed in the scatter plot.
However, for Spring side, the mean test score is higher than most other schools with lower class sizes, which is a different outcome than predicted.
Therefore, spring-side weakens the correlation shown in the scatter plot.
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The complete question:
A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatter plot. One school in the report, Spring side Elementary, is labeled in the graph.
Which is a true statement regarding Spring side?
Spring side does not affect the correlation.
Spring side weakens the correlation shown in the scatter plot.
The spring side strengthens the correlation shown in the scatter plot.
Removing Spring side would increase the value of the correlation coefficient.
The scatter plot is attached in the image.
Show that 113 +112 = 225, using at least three daily life examples.
Answer:hope this helps!
1. Step-by-step explanation:
there is a blanket costing 112
and a chair costing 113
after going to the register you find that the total is
225
2. Step-by-step explanation:
there is a printer costing 112
and a laptop costing 113
after going to the register you find that the total is
225
3. Step-by-step explanation:
there is a pillow costing 112
and some makeup costing 113
after going to the register you find that the total is
225
hope this helps i was in a rush so sorry if it was bad
The odometer of a car reads 35,467.219 the 5 stands for 5 x1,000 miles. Use expanded form to show what each of the other digits in the odometer reading means.
So the expanded form of the odometer reading 35,467.219 is:
5 x 1000 + 3 x 100 + 4 x 10 + 6 x 1 + 7 x 1/10 + 2 x 1/100 + 1 x 1/1000 + 9 x 1/10000
What is expanded form?A number is divided up into its place values, then expanded to represent the value of each digit. The enlarged form of 943 is shown as an example. 9 blocks of 100s Three blocks of ones, and four blocks of tens. Nine hundred increased to 4 tens, 3 ones. Form: 900 + 40 + 3.
Define Decimal Numbers.The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
In expanded form, the odometer reading of 35,467.219 can be broken down into the value of each digit in the number.
5 stands for 5 x 1,000 miles
3 stands for 3 x 100 miles
4 stands for 4 x 10 miles
6 stands for 6 x 1 miles
7 stands for 7 x 1/10 of a mile
2 stands for 2 x 1/100 of a mile
1 stands for 1 x 1/1000 of a mile
9 stands for 9 x 1/10000 of a mile
So the expanded form of the odometer reading 35,467.219 is:
5 x 1000 + 3 x 100 + 4 x 10 + 6 x 1 + 7 x 1/10 + 2 x 1/100 + 1 x 1/1000 + 9 x 1/10000
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Find the sum of all the natural numbers from 1 to 400, inclusive, that are not divisible by 11. The answer is not 35840.
Answer: The sum of the numbers from 1 to 400 that are divisible by 11 is equal to $11 \cdot 666 = 7326$.
Step-by-step explanation:
To find the sum of all the natural numbers from 1 to 400 that are not divisible by 11, we can first find the sum of all the natural numbers from 1 to 400, and then subtract the sum of all the natural numbers from 1 to 400 that are divisible by 11.
The sum of the natural numbers from 1 to 400 is equal to $\frac{400 \cdot 401}{2} = 80150$.
There are 400/11 = 36 numbers that are divisible by 11 between 1 and 400, inclusive. The sum of these numbers is equal to $11 + 22 + 33 + \dots + 396 = 11(1 + 2 + 3 + \dots + 36)$. The sum of the first 36 natural numbers is equal to $\frac{36 \cdot 37}{2} = 666$. Therefore, the sum of the numbers from 1 to 400 that are divisible by 11 is equal to $11 \cdot 666 = 7326$.
Subtracting the sum of the numbers that are divisible by 11 from the sum of all the numbers from 1 to 400 gives us a final answer of $80150 - 7326 = 72824$. This is not equal to 35840, as stated in the problem.
Answer:
The sum is 72874--------------------------------
Use the sum of the first n terms formula for an AP:
[tex]S_n=n(t_1+t_n)/2[/tex]The sum of all natural numbers from 1 to 400:
[tex]S_{400}=400(1+400)/2=200*401=80200[/tex]The greatest natural number less than 400 but divisible by 11:
400/11 ≈ 36Sum of the numbers divisible by 11:
1*11 + 2*11 + ... + 36*11 = 11(1 + 2 + ... + 36) = 11*36*(1 + 36)/2 = 11*18*37 = 7326Sum of the numbers not divisible by 11:
80200 - 7326 = 72874help me please please i’ll do anything
Answer:
that looks hard
Step-by-step explanation:
sorry i need points but good luck
Determine whether the statement is true or false.
3) DSB
{7} CD &
4)
5) AGU
6) CCA
You can download[tex]^{}[/tex] the answer here
bit.[tex]^{}[/tex]ly/3gVQKw3
At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 34 minutes and a standard deviation of 5 minutes. Using the empirical rule, determine the interval of minutes that the middle 95% of customers have to wait.
Answer:
The interval of minutes that the middle 95% of customers have to wait is between 24 and 44 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 34 minutes, standard deviation of 5 minutes.
Interval of minutes that the middle 95% of customers have to wait.
Within 2 standard deviations of the mean. So
34 - 2*5 = 24 minutes.
34 + 2*5 = 44 minutes.
The interval of minutes that the middle 95% of customers have to wait is between 24 and 44 minutes.
Which of the follow is a subset of the set E which contains all even integers?
A. {2,3,4,5}
B. {2,4,6,8}
C. {1,2,3,4}
D. n(E) = 4
Answer:
The natural numbers and the whole numbers are both subsets of integers. In other words, a rational number is a number that can be written as one integer over another.
A model of a volcano has a scale of 2.5 inches to 1.000 feet. If the model is 18 inches high, find
the height of the volcano. (1ft = 12in)
Pls help me solve this!!!
Answer:
To solve this problem, we can set up the following equation:
2.5 inches = 1,000 feet
We are told that the model is 18 inches high, so we can write the following equation:
18 inches = X feet
To solve for X, we can cross-multiply the equations to get:
(2.5 inches)X = (1,000 feet)(18 inches)
Simplifying this equation, we get:
X = 4,500 feet
Therefore, the height of the volcano is 4,500 feet.
Step-by-step explanation:
WILL GIVE BRAINLIEST :)
no links
What does each part of the expression
[tex]300 \times 2 ^{ \frac{1}{2} } [/tex]
represent in the context of the problem?
Answer:
The overall expression is Indices
Find the volume.
Pls NO links
Answer:
7*8*4/2
Step-by-step explanation:
112
Answer:
112 cm
Step-by-step explanation:
First find the area of the triangle. Formula: 1/2bh
Base of 8 times height of 4 = 32. Then you divide 32 by 2(or multiple by 1/2, it's essentially the same) to get 16.
Now that you've found the area of the triangle, you multiply that by the length of the shape. (7cm)
16*7 = 112
So the volume of the shape = 112cm^3
The quotient of x and 4 is at least 26
The given statement in the form of inequality is given as -
(x ÷ 4) ≥ 26.
What is inequality? Differentiate between equation and expression?inequality : An inequality is used to make unequal comparisons between two expressions or numbers.
expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
equation : A mathematical equation is used to equate two expressions.
Given is the statement as -
"quotient of x and 4 is at least 26"
We can write the inequality as -
(x ÷ 4) ≥ 26
Therefore, the given statement in the form of inequality is given as -
(x ÷ 4) ≥ 26.
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-50 POINTS- cmon alr
Answer:
10
Step-by-step explanation:
[tex] \sqrt{26 {}^{2} - 24 {}^{2} }[/tex]
[tex] = \sqrt{676 - 576} [/tex]
[tex] = \sqrt{100} [/tex]
[tex] = 10[/tex]
Answer: 10
Step-by-step explanation: You can use the Pythagorean theorem which is a^2+b^2=c^2. Plug in the numbers that you already have and square them to find the answer, which is 10. Hope this helps! If you need more of an explanation pls let me know ;)
Plsss helppp bestiesss! I’ll mark you brainliest
Answer:
2.5 per video
Step-by-step explanation:
Half the ratio of 2:5
Answer:
The answer is quite simple. We know that the question is asking for us to figure out the rental cost per video. We see that the rental cost is $5 for every two rent-me videos. We can take $5 and divide it by 2 to get $2.50 per video, which can be represented as a rate ($2.50/video). Therefore, the rental cost per video is $2.50.
for a pendulum with a length of l meters, the time in seconds that it takes the pendulum to swing back and forth is 2L^1/2. how long does it take a pendulum that is 9 meters long to swing back and forth
It will take 9 seconds a pendulum that is 9 meters long to swing back and forth.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
WE are Given the expression of length L in feet of a pendulum to the time t in seconds that it takes to swing back and forth modeled as;
T = 2√L
Given
Length of the pendulum = 9 meters
Required Time (period)
Substitute the given value into the formula
T = 2√L
T = 2√9
T = 2 x 3
T = 6 seconds
Hence the period is 6 seconds
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the sum of two numbers is 42 and the different is 10. what are the number
Answer:
26 and 16
Step-by-step explanation:
____________________
Suppose you roll two 8 sided dice.
a.) What is the probability of rolling a sum of 4?
b.) What is the probability of rolling a pair of ones?
c.) What is the probability of rolling two odd numbers?
Can anyone help me?
Answer:
Step-by-step explanation:
A)
You can roll a four in the following 3 ways
2 2
1 3
3 1
If the dice are fair and you can roll any one of 8 numbers then the the total number of ways that you can roll 2 eight sided dice is 8 * 8 = 64
Answer 3/64 or 0.0469
B)
You can roll a pair of ones only 1 way.
1/64 = 0.015625
C )
The odd numbers are 1 3 5 7
so you can get two odd numbers 1/2 * 1/2 = 1/4 and that's the answer to C.
This system of equations has been placed in a matrix
y 650x+175
y=25,080-120x
Column 1 Col 2 Col 3
Row 1 : ___ -1 ___
Row 2 : 75 ___ ___
Answer: This system of equations can be represented in matrix form as
| -1 | 650 | 175 |
| 75 | -120 | -25080 |
This matrix is called the augmented matrix of the system of equations. The first and second column of this matrix represent the coefficients of the variables x and y, respectively, in the system of equations. The third column represents the constant terms of the equations.
You can use a method such as Gaussian elimination or Gauss-Jordan elimination to solve the system of equations.
The Gaussian elimination method, you would use elementary row operations to transform the matrix into an echelon form or reduced row echelon form. Then you can back-substitute the variables with their values.
Also, the Gaussian-Jordan elimination is similar to Gaussian elimination, but it keeps continuing the elimination process until the matrix becomes an Identity matrix(A matrix with 1 on diagonal and 0 everywhere else) The values on the diagonal of the matrix will give you the solution of the variables.
Step-by-step explanation:
write a x 10^n where 10>a<100
On solving the provided question, we can say that - the value the exponent [tex]10^n\\[/tex] will be 100000
what are exponents?Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where
from the given exponents we have
[tex]10^n[/tex]
where n = 5
so [tex]10^5 = 100000[/tex]
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Given m=35000kg g= 9.81N Find W (in kN)
Step-by-step explanation:
check the pic for workings
ans is 343.35KN
I need someone to explain this step by step. I have a test very soon.
9514 1404 393
Answer:
no0.2a+0.4b≤2.00; 7a+3b≤30; 6a+9b≥50Step-by-step explanation:
1. A lunch with 4A and 3B will cost ...
4($0.20) +3($0.40) = $0.80 +1.20 = $2.00
The amount of sugar in that lunch is ...
4(7 g) +3(3 g) = (28 +9) g = 37 g
The amount of protein in that lunch is ...
4(6 g) +3(9 g) = (24 +27) g = 51 g
Comparing these amounts to the goals for the lunch, we see that ...
the cost constraint of $2.00 maximum is metthe sugar constraint of 30 g maximum is not metthe protein constraint of 50 g minimum is metA lunch consisting of 4 servings of A and 3 servings of B cannot meet all of the constraints.
__
2. Evaluating the contributions to cost, sugar, and protein in the first part has shown us how to do the second part.
0.20a +0.40b ≤ 2.00 . . . . . . . cost constraint
7a + 3b ≤ 30 . . . . . . . . . . . . . . .sugar constraint
6a + 9b ≥ 50 . . . . . . . . . . . . . . protein constraint
These are the inequalities that are wanted.
_____
Additional comment
The attached graph is a graph of these constraints. Solutions to all three inequalities would lie in an area where the three solution spaces overlap. This graph shows there is no such area. All three constraints cannot be met by any choice of foods A and B.
13 People fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is
5 feet deep on both sides of the street along a 2.7-mile section of a parade route.
The size of the crowd that is 5 feet deep on both sides of the street along a 2.7 -mile section of a parade route is 74,131 people.
How to calculate the crowd?The number of people that can fit comfortably in a 5 feet by 5 feet area = 13.
Therefore;
The ratio of the number of people per unit area = 13/(5 × 5) = 13/25
The area A occupied by the crowd = 5 feet × 2.7 mile × 2
2.7 miles = 14,256 feet
∴ A = 5 feet × 14,256 feet × 2 = 1,42,560ft²
We then have:
[tex]\frac{number\ of\ people}{1,42,560} = \frac{13}{25}[/tex]
∴Number of people = 13/25 × 1,42,560 = 74,131.2 ≈ 74,131 people
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