Answer: X=-4
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Assume that blood pressure readings are normally distributed with a mean of 116 and a standard deviation of 6.4. If 64 people are randomly selected, find the probability that their mean blood pressure will be less than 118.
The probability that the mean blood pressure of 64 randomly selected people will be less than 118 is approximately 0.9938.
You want to find the probability that the mean blood pressure of 64 randomly selected people will be less than 118, given that blood pressure readings are normally distributed with a mean of 116 and a standard deviation of 6.4.
Step 1: Calculate the standard error of the mean (SEM).
\(SEM=\frac{standard deviation}{\sqrt{sample size} }\)
\(SEM=\frac{6.4}{\sqrt{64} }\)
\(SEM=\frac{6.4}{8}\)
\(SEM = 0.8\)
Step 2: Calculate the z-score for the given value (118) using the formula:
\(z = \frac{X-mean}{SEM}\)
\(z = \frac{118-116}{0.8}\)
\(z=\frac{2}{0.8}\)
z = 2.5
Step 3: Use the z-score to find the probability (area under the curve to the left of z).
From the z-table or using an online z-score calculator, the probability for a z-score of 2.5 is approximately 0.9938.
So, the probability that the mean blood pressure of 64 randomly selected people will be less than 118 is approximately 0.9938.
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two functions a and b are described as follows function a: y=8x+3 function b:the rate of change is 1 and the y intercept is 4 how much more is the rate of change of function abthan the slope of function b 1 7 8 9
Answer:
7
Step-by-step explanation:
rate of change of function not necessary mean linear, it can be the slope of a tangent line.
a: y=8x+3 slope = 8
b: rate of change: 1
8-1=7
I wish this is true...
Trevor bought 5 packages of cake mix for $22.50. How much would 8 packages of cake mix cost?
Which attribute applies to this shape? (3 points)
A. Perpendicular lines
B. Parallel fines C.Right angles
D.Acute angles
Answer:
the answer is D, acute angles
Step-by-step explanation:
all of the angles in the triangle are less than 90°
Answer:
D
Step-by-step explanation:
the triangle has no right angles
the triangle has 3 acute angles (they are less than 90 degrees)
lines are not crossing
there are no parallel lines in the triangle (in fact no triangles have parallel lines)
The annual tuition and parent rating of 12 private schools is shown on the scatterplot. The schools are rated on a scale of 0 to 100.
Scatterplot with x axis labeled Tuition Price, US dollars going from 0 to 12,000 and y axis labeled Rating going from 0 to 100. Values at 3,435, 40; 3,884, 76; 4,436, 32; 4,464, 23; 5,782, 86; 5,931, 22; 5,978, 37; 6,305, 76; 7,922, 36; 9,147, 80; 9,315, 4; 9,642, 55.
Part A: Describe the association shown in the scatterplot. (4 points).
Part B: Give an example of a data point that affects the appropriateness of using a linear regression model to fit all the data. Explain. (4 points)
Part C: Give an example of a school that is cost effective and rated highly by parents. (2 points)
We have drawn scatter diagram and given an example of a data point that affects the appropriateness of using a linear regression model and of a school that is cost effective and rated highly by parents.
What is scatter diagram ?The scatter diagram plots two sets of numerical data, one on each axis, to see if there is a link between them. The points will fall along a line or curve if the variables are correlated.
How to show the given data on scatterplot?We are using graphing calculator to show the points to make scatter diagram
Which data point that affects the appropriateness of using a linear regression model to fit all the data ?If a linear model is adequate, the histogram should be about normal, and the residuals scatterplot should have random scatter. The linear model is not adequate if we detect a curved connection in the residual plot.
How a school that is cost effective and rated highly by parents ?Parents can help with events and activities at school, as well as communicate with instructors. They can also be active at home in a variety of ways, including as assisting their children with homework and other obligations, and engaging in talks about educational principles and attitudes.
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The point p(x, y) lies on the terminal side of an angle theta = startfraction 3 pi over 4 endfraction in standard position. what are the signs of the values of x and y? both x and y are positive. both x and y are negative. x is positive, and y is negative. x is negative, and y is positive.
The 'x' coordinate is negative and 'y' coordinate is positive.
What is Fraction ?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
We know that :
π = 180
Therefore,
3π/4 = (3×180)/4 = 3 × 45
3π/4 = 135
In second quadrant, we have negative value if x coordinate and positive value of y coordinate.
Hence, the angle lies in the second quadrant. Second quadrant is enclosed by the negative x axis and positive y axis.
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Answer:
x is negative, and y is positive.
Step-by-step explanation:
The answer above is correct.
In a study of cell phone usage and brain hemispheric dominance, an internet survey was e-mailed to subjects randomly selected from an online group involved with ears. There were surveys returned. Use a 0. 01 significance level to test the claim that the return rate is less than 20%. Use the p-value method and use the normal distribution as an approximation to the binomial distribution.
The statistics z is -1.878 and the p value is 0.0302
Given,
Number of random sample selected, n = 6967
Number of surveys returned, x = 1331
Estimated proportion of return rate;
p = 1331/6967 = 0.192
Significance level, ∝ = 0.01
z would represent the statistic
We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:
Null hypothesis, p₀ ≥ 0.2
Alternative hypothesis, p₀ < 0.2
The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)
That is,
z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878
Using the alternative hypothesis and the following probability, we can now get the p value:
p value = p(z < - 1.878) = 0.0302
We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.
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A person invested $7, 400 in an account growing at a rate allowing the money to
double every 6 years. How much money would be in the account after 4 years, to the
nearest dollar?
Answer:
$11747
Step-by-step explanation:
\(m=7400x^{t} \\2*7400=7400x^{6}\\x=1.122\\t=4\\m=7400*1.122^{4} =11747\)
The volume of one of the Great Lakes is 3.5 × 103 cubic kilometers. If there are 6.3 × 107 fish in the lake, what is the average number of fish per cubic kilometer?
- 6/11 * 3/4 what the answer
Answer: -9/22
Step-by-step explanation:
Answer:
-0.40909090909........
Step-by-step explanation:
In an election, 471 people voted. Candidate B received 2/3 of the votes. How many votes did Candidate B receive?
Answer:314
Step-by-step explanation:
314 votes
471 x (2/3) = 314
P = e f e = 4.8 correct to 2 significant figures. f = 0.26 correct to 2 significant figures. Work out the lower bound for the value of P . Give your answer correct to 3 significant figures. (2 marks)
Answer:
Step-by-step explanation:
P = efe =4.8
f =0.26
substitute the value of P and f into the equation to obtain the value of e
4.8 = e*0.26*e
4.8 = 0.26*e^2
make e^2 the subject of the formula
e^2 =4.8/0.26 =18.62
find the square root of e
e =\(\sqrt{x} 18.46\\\)
e = 4.3
Lower bound of P = 4.8 - 4.79 = 0.01
Y’all please help me w this please
The pair adjacent angles are CAD and DAE
The pair of complimentary angles are BAC and CAD.
The pair of supplementary angles are BAD and DAE
The pair of vertical angles are BAC and FAE.
How to name angles?Adjacent angles are two angles which have common side and a common vertex.
Complementary angles are when two angles add up to 90 degrees.
Supplementary angles are when two angles add up to 180 degrees.
Therefore,
Adjacent angles are CAD and DAE
Complimentary angles are BAC and CAD.
Supplementary angles are BAD and DAE
Vertical angles are BAC and FAE.
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|x+9|=7 solve for x.....
Answer:
x = -2 or x = -16
Step-by-step explanation:
We need to find the absolute value of x and to do that we need to follow the below process:
|x+9| = 7 get rid of brakes
x+9 = 7 or x+9 = -7
if
x+9 = 7 subtract 9 from both sides
x = -2
if
x+9 = -7 subtract 9 from both sides
x = -16
which of the following sampling approaches first divides the population into subgroups based on one or more variables of interest? group of answer choices simple statistical sampling systematic random sampling stratified random sampling systematic density sampling
The type of sampling is stratified random sampling
Given that,
The population is first divided into subgroups based on one or more important variables. this sampling is nothing but stratified random sampling
What Is Stratified Random Sampling?
A crucial element of the sampling method known as stratified random sampling is the division of a population into smaller subgroups known as strata. Strata are established in stratified random sampling, also known as stratification, based on the shared characteristics or attributes of the participants, such as wealth or level of education. Examining life expectancy and population demographics is just one of the many benefits and uses of stratified random sampling. Other names for stratified random sampling are proportional or quota random sampling..
Hence, this sampling is stratified random sampling
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Question 11
1 pts
The value of x is 10 more than 5 times the value
of y. The sum of the two numbers is 4. Write
two equations and graph to find the values of x.
and y.
Answer:
Step-by-step explanation:
x= 5y+10
x+y=4
consider the figures on the coordinate plane
Answer:
B.Figures A and C
Step-by-step explanation:
because if you trust god god will give enlightenment and also your smart and Beautifull.
is 2 for the price of one better than 3 for the price of two?
Step-by-step explanation: 2 for the price of 1 because if you did that x3 it would be 6 for the price of 3 but if you did 3 for the price of 2 it would be 4 for the price of 6.
For each of the following quotient groups, compute the Cayley table and find a famil- iar isomorphic group. (1) Z12/([6]12) (2) (Z/12Z)/(4Z/12Z) (3) D6/(r²) (4) D6/(r³) (5) G/N where G is a group and N is any normal subgroup of index 3. (6) (Z4 × Z6)/(([2]4) × ([5]6))
The Cayley tables and find isomorphic groups for the given quotient groups are attached below.
To compute the Cayley tables and find isomorphic groups for the given quotient groups, let's go through each case one by one:
(1) Z12/([6]12):
The group Z12 is the cyclic group of order 12 generated by [1]12. The subgroup [6]12 consists of all elements that are multiples of 6 in Z12. To compute the quotient group Z12/([6]12), we divide Z12 into the cosets of [6]12.
The cosets are:
[0]12 + [6]12 = {[0]12, [6]12}
[1]12 + [6]12 = {[1]12, [7]12}
[2]12 + [6]12 = {[2]12, [8]12}
[3]12 + [6]12 = {[3]12, [9]12}
[4]12 + [6]12 = {[4]12, [10]12}
[5]12 + [6]12 = {[5]12, [11]12}
The quotient group Z12/([6]12) is isomorphic to the cyclic group Z6.
(2) (Z/12Z)/(4Z/12Z):
The group Z/12Z is the cyclic group of order 12 generated by [1]12Z. The subgroup 4Z/12Z consists of all elements that are multiples of 4 in Z/12Z. To compute the quotient group (Z/12Z)/(4Z/12Z), we divide Z/12Z into the cosets of 4Z/12Z.
The cosets are:
[0]12Z + 4Z/12Z = {[0]12Z, [4]12Z, [8]12Z}
[1]12Z + 4Z/12Z = {[1]12Z, [5]12Z, [9]12Z}
[2]12Z + 4Z/12
Z = {[2]12Z, [6]12Z, [10]12Z}
[3]12Z + 4Z/12Z = {[3]12Z, [7]12Z, [11]12Z}
The quotient group (Z/12Z)/(4Z/12Z) is isomorphic to the Klein four-group V.
(3) D6/(r²):
The group D6 is the dihedral group of order 12 generated by a rotation r and a reflection s. The subgroup (r²) consists of the identity element and the rotation r². To compute the quotient group D6/(r²), we divide D6 into the cosets of (r²).
The cosets are:
e + (r²) = {e, r²}
r + (r²) = {r, rs}
r² + (r²) = {r², rsr}
s + (r²) = {s, rsr²}
rs + (r²) = {rs, rsrs}
rsr + (r²) = {rsr, rsrsr}
The quotient group D6/(r²) is isomorphic to the cyclic group Z3.
(4) D6/(r³):
The subgroup (r³) consists of the identity element and the rotation r³. To compute the quotient group D6/(r³), we divide D6 into the cosets of (r³).
The cosets are:
e + (r³) = {e, r³}
r + (r³) = {r, rsr}
r² + (r³) = {r², rsr²}
s + (r³) = {s, rsrs}
rs + (r³) = {rs, rsrsr}
rsr + (r³) = {rsr, rsrsr²}
The quotient group D6/(r³) is isomorphic to the cyclic group Z2.
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Find the ending balance :
Principal: $600
Interest rate :5%
Time : 6 years
Answer:
3816
Step-by-step explanation:
Based on the family the graph below belongs to, which equation could represent the graph?
Answer:
i believe the answer is A
Step-by-step explanation:
hope this works
Jada used `60` pepper slices to make `3` pizzas.
How many does it take to make `6` of Jada's pizzas?
Answer: 120 pepper slices
Step-by-step explanation: Since 6 pizzas is twice as many pizzas as 3 pizzas, you would also double the amount of pepper slices, giving you 120 pepper slices.
120
Step-by-step explanation:Step 1:First, divide 60 and 3
60 ÷ 3 = 20
Step 2:Then, multiply 20 and 6
20 × 6 = 120
Is (6, 34) the solution to the system below?
y = 5x + 4 and x + y = 40
Circle your final answer. SHOW WORK as mathematical proof.
Answer:
Yes
Step-by-step explanation:
y = 5x + 4
x + y = 40
x = 6
y = 34
34 = 5(6) + 4
34 = 30 + 4
34 = 34
34 + 6 = 40
Keegan and Annie are working on an experiment in the
science lab. Their mixture contains ingredients that weigh
5.12 grams, 4.7 grams, and 7.32 grams. Keegan calculates
the combined weight to be 17.14 grams; Annie calculates
it to be 12.91 grams.
Who is correct, and why?
5.12
4.70
Keegan
+7.32
17.14
5.12
4.7
Annie
+7.32
12.91
O A. Keegan is correct. Annie did not regroup properly,
O B. Annie is correct. Keegan did not line up the decimals correctly.
C. Keegan is correct. Annie did not line up the decimals correctly.
D. Annie is correct. Keegan did not regroup properly.
Answer:
me name mort am swag
Step-by-step explanation: me my mom. she say help the noob. am no help you. doodoo pants.
Gail paid 118.65foravarsityjacket.Thepriceincludesa5112.72 113.00117.00 $124.65
It is 112.72because5118.65. By doing that, you can get the original price by subtracting that value, which is 5.9325, from 118.65,youget ...
The original price of the varsity jacket before the discount was $5.93.
What is the equivalent expression?
Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.
To find the original price of the varsity jacket before the discount, we can subtract the discount amount from the total price.
In this case, the discount amount is $112.72, and the total price paid is $118.65.
Therefore, the original price of the varsity jacket can be calculated as follows:
Original Price = Total Price - Discount Amount
Original Price = $118.65 - $112.72
Original Price = $5.93
Hence, the original price of the varsity jacket was $5.93.
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calcule
\(( + 4) \times ( + 2)\)
\(( - 5) \times ( - 3)\)
\(( + 6) \times ( + 2)\)
\(( - 4) \times ( - 3)\)
\(( + 2) \times ( + 5)\)
\(( - 6) \times ( - 3)\)
\(( + 7) \times ( + 3)\)
\(( - 8 \times ( - 4)\)
Answer:
1. 8
2. 15
3. 12
4. 12
5. 10
6. 18
7. 21
8. 32
Step-by-step explanation:
same sign add
The diameter of a circle is 17 ft. Find its area to the nearest whole number.
Answer:
\(\boxed{\mathtt{Area \approx 227ft^{2}}}\)
Step-by-step explanation:
\(\textsf{We are asked to find the area of a circle.}\)
\(\textsf{First, we should identify the formula for the area of a circle.}\)
\(\large\underline{\textsf{Formula:}}\)
\(\mathtt{Area = \pi (radius)^{2}}\)
\(\textsf{The radius is \underline{half} of the diameter.}\)
\(\mathtt{\frac{17}{2} = 8.5ft.}\)
\(\textsf{Let's begin solving for the area.}\)
\(\large\underline{\textsf{Substitute:}}\)
\(\mathtt{Area = \pi (8.5)^{2}}\)
\(\mathtt{Area = 72.25 \pi}\)
\(\boxed{\mathtt{Area \approx 227ft^{2}}}\)
What is 13/100 in simplest form?
Answer:
0.13
Step-by-step explanation:
fcs 5230 quizlet In one study, almost 50 percent of dropouts said their primary reason for leaving school was
Almost 50 percent of dropouts said their primary reason for leaving school was a lack of engagement or interest in the academic material.
In the study mentioned, the term "FCS 5230" is not directly related to the topic of dropouts and their reasons for leaving school. However, if you are referring to a specific quizlet set for the course FCS 5230, it is important to note that it might not be directly relevant to the study on dropouts.
The study highlights the importance of engaging students in their learning process. Schools should strive to create a stimulating and supportive learning environment to foster student interest. Incorporating interactive teaching methods, real-world applications of concepts, and providing personalized support can enhance student engagement and motivation.
Moreover, it is crucial for educators and policymakers to address the individual needs and challenges of students to prevent dropouts. This can include implementing early intervention programs, offering academic and emotional support, and providing career counseling to help students see the value and relevance of their education.
In conclusion, the primary reason for leaving school for almost 50 percent of dropouts was a lack of engagement or interest in the academic material. To reduce dropout rates, it is essential to focus on improving student engagement and providing necessary support to ensure their academic success.
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There are 6 circles and 10 triangles. What is the simplest ratio of circles to total shapes?.
If there are 6 circles and 10 triangles, then the simples ratio of circles to total shapes is 3 : 8
Total number of circles = 6 circles
Total number of triangles = 10 triangles
Total number of shapes = Total number of circles + Total number of triangles
Substitute the values in the equation
Total number of shapes = 6 + 10
= 16 shapes
The ratio of circles to total shapes = Total number of circles : Total number of shapes
Substitute the values
= 6 : 16
Simplify the ratio
= 3 : 8
Therefore, the simplified ratio of circles to total shapes is 3 : 8
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