Answer:
7=19
9=23
10=25
Step-by-step explanation:
the weights of 9 men have mean x = 175 pounds and standard deviation s = 15 pounds. what is the standard error of the mean? (a) 58.3 (b) 15 (c) 5 (d) 1.67 (e) 1.29
Answer:
5
Step-by-step explanation:
standard error of mean = s/√n,
where s is the standard deviation and n is the sample size.
s/√n = 15/√9
= 15/3
= 5
Write an equation that could be used to find the Volume of the cone
The equation that could be used to find the volume (V) of a cone is:
V = (1/3)πr^2h
where r is the radius of the base of the cone, h is the height of the cone, and π is the mathematical constant pi (approximately 3.14159).
This formula can be derived by using the fact that the volume of a cone is equal to one-third of the volume of a cylinder with the same base and height. The base of a cone is a circle, so its area is given by πr^2. Multiplying this by the height h gives the volume of the cylinder, and then dividing by 3 gives the volume of the cone.
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Please Help / Number 6 ( Look at the picture ) MY WORK HAS TO BE SHOWN TO GET FULL CREDIT
Answer:
y - 11/8
Explanation:
The first step in simplifying the expression is to expand it.
\(\frac{5}{4}(y-1)-\frac{1}{8}(2y+1)=\frac{5}{4}y-\frac{5}{4}-\frac{2y}{8}-\frac{1}{8}\)A bit of rearranging gives
\((\frac{5y}{4}-\frac{y}{4})-\frac{5}{4}-\frac{1}{8}\)Now,
\(\frac{5y}{4}-\frac{y}{4}=\frac{4y}{4}=y\)and
\(-\frac{5}{4}-\frac{1}{8}=-\frac{10}{8}-\frac{1}{8}=-\frac{11}{8}\)therefore,
\((\frac{5y}{4}-\frac{y}{4})-\frac{5}{4}-\frac{1}{8}=y-\frac{11}{8}\)Hence, our answer is
\(\boxed{y-\frac{11}{8}}\)which can be written as
\(\frac{1}{8}(8y-11)\text{ }\)Classify this triangle by it's sides.
a) Equilateral
b) Isoceles
c) Scalene
It's scalene because all three sides are different
Ahmed is working at a burger joint. His boss pays him $6.50 per hour and promises a raise of $0.25 per hour every 6 months. Which sequence describes Ahmed's expected hourly wages, in dollars, starting with his current wage? O A. 6.50, 6.25, 6.00, 5.75, 5.50, ... O B. 6.50, 13.00, 19.50, 26.00, 32.50, ... O C. 0.25, 0.50, 0.75, 1.00, 1.25, ... O D. 6.75, 7.00, 7.25, 7.50, ... O , E. 6.50, 6.75, 7.00, 7.25, 7.50, ...
Answer:
$6.50,$6.75,$7.00,$7.25,$7.50,$7.75+
Step-by-step explanation:
all you need to do is add .25
Complete the table given the following function:
y = 3x + 1
x y Ordered Pair
1
(1, 4)
2
(2,__)
3
(___,___),(____,____)
-1
(-1,___)
Considering the numeric values of the function, the points and ordered pairs are given as follows:
x = 2, y = 7, ordered pair (2,7).x = 3, y = 10, ordered pair (3,10).x = -1, y = -2, ordered pair (-1,-2).How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
An ordered pair is given by:
(x, f(x)).
In which f(x) is the numeric value.
For this problem, the function is given by the following rule:
y = 3x + 1.
When x = 2, the numeric value is given by:
y = 3 x 2 + 1 = 6 + 1 = 7.
Hence the ordered pair is (2,7).
When x = 3, the numeric value is given by:
y = 3 x 3 + 1 = 9 + 1 = 10.
Hence the ordered pair is (3,10).
When x = -1, the numeric value is given by:
y = 3 x -1 + 1 = -3 + 1 = -2.
Hence the ordered pair is (-1,2).
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Carla has a rectangular garden in her backyard. The width of the garden is 9 meters. The area of the garden is 360 square meters. What is the length of the garden? Show your work.
Answer:
l = 40 m
Step-by-step explanation:
The formula for area of a rectangle is
A = lw, where
A is the area in square units,l is the length,and w is the widthStep 1: Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):
360 = 9l
Step 2: Divide both sides by 9 to solve for l
(360 = 9l) / 9
40 m = l
Optional Step 3: We can check our answers by checking that the product of 40 and 9 is 360
40 * 9 = 360
360 = 360
A string of lights has two blinking lights. One blinks every twelve minutes while the other blinks every forty four minutes. If they both blinked at 1pm, when is the next time they will blink again. (Find the LCM (Least Common Multiple))
Answer:
They will both blink again at 3:12 pm.
Step-by-step explanation:
As indicated by the question, the way to solve is to find the Lowest (or Least) Common Multiple of both numbers.
As such:
\(\text{List the factors of 12 and 44:}\\12=2*2*3\\44=2*2*11\\\\\text{Take the common factors only once and multiply them by the non-common factors:}\\2*2*3*11=132 \text{ (LCM)}\)
Now knowing the LCM is 132, we convert those minutes into hours and minutes:
\(\frac{132}{60}=2\frac{12}{60} \text{ (2 hours and 12 minutes)}\)
Add this to the original time:
\(1:00\text{ pm } + \text{ }2:12 \text{ }= \text{ }3:12\text{ pm}\)
in a survey of 100 randomly selected people in city a, 71 support increased government spending on roads and bridges. in a survey of 100 randomly selected people in city b, 84 support such spending. test the alternative hypothesis that the population proportion of people in city a that support such spending is different from the population proportion of people in city b. use the level of significance α
If we reject the null hypothesis, we can conclude that there is sufficient evidence to support the alternative hypothesis. If we fail to reject the null hypothesis, we do not have enough to support the alternative hypothesis.
To test the alternative hypothesis that the population proportion of people in city A who support increased government spending on roads and bridges is different from the population proportion of people in city B, we can use a hypothesis test.
Let's denote the population proportion of people in city A who support such spending as p1, and the population proportion of people in city B as p2.
Step 1: State the null and alternative hypotheses.
Null hypothesis (H0): p1 = p2
Alternative hypothesis (Ha): p1 ≠ p2
Step 2: Determine the level of significance α.
You need to specify the level of significance α, which represents the probability of rejecting the null hypothesis when it is true. Let's assume α = 0.05 (5% significance level).
Step 3: Conduct the hypothesis test.
To conduct the hypothesis test, we will use a two-sample z-test for proportions.
The test statistic (z-score) can be calculated using the following formula:
z = (p1 - p2) / √((p1(1-p1)/n1) + (p2(1-p2)/n2))
where:
p1 = proportion of people in city A who support increased government spending on roads and bridges
p2 = proportion of people in city B who support such spending
n1 = sample size for city A
n2 = sample size for city B
Step 4: Determine the critical value.
Since we have a two-tailed test (p1 ≠ p2), we need to find the critical z-value(s) for the given level of significance α/2.
For α = 0.05, α/2 = 0.025. Looking up the z-table or using a calculator, the critical z-value for a two-tailed test with α/2 = 0.025 is approximately ±1.96.
Step 5: Calculate the test statistic and compare with the critical value.
Calculate the test statistic using the formula mentioned in Step 3. If the absolute value of the test statistic is greater than the critical value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
Step 6: Make a conclusion.
Based on the comparison in Step 5, make a conclusion about the null hypothesis. If we reject the null hypothesis, we can conclude that there is sufficient evidence to support the alternative hypothesis. If we fail to reject the null hypothesis, we do not have enough evidence to support the alternative hypothesis.
Remember to include the specific values of the test statistic, the critical value, and your conclusion based on the test results.
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Read the case study on page 326~327 of your textbook. Using the information and data provided in the text answer the following questions:
1. What changes or patterns do you see in the data? What remedies might be suggested for any problems?
2. Has the CEO carried out his or her responsibility for educating the board? Why or why not?
3. Depending on the answer to question 2, what strategies would you recommend at this point?
4. What quality data should be reported and utilized by this board of directors?
5. Given this administration’s style and leadership approach, do you think the minutes of the board meeting reflect actual board meeting discussions?
6. Is the board actually using the information provided to make decisions that affect quality and performance improvement?
1. If any problems are identified, suggest potential remedies such as process improvements, employee training, quality control measures, or changes in strategy.
2. Consider whether the CEO has effectively communicated the company's goals, performance metrics, challenges, and strategies to the board.
3. If the CEO has fulfilled their responsibility, focus on refining the communication process and ensuring that the board receives timely and relevant information.
4. Emphasize the importance of accurate, timely, and actionable data that enables the board to make informed decisions.
5. Consider whether the minutes provide a clear and objective summary of the discussions and whether they align with the organization's leadership style and approach.
6. Evaluate whether the board's decisions and initiatives align with the organization's goals and objectives for quality and performance improvement.
To identify changes or patterns in the data, carefully analyze the provided data in the case study. Look for trends, variations, or any significant shifts in the data over time. Consider factors such as growth rates, financial performance, customer satisfaction ratings, employee turnover, or any other relevant metrics. If any problems are identified, suggest potential remedies such as process improvements, employee training, quality control measures, or changes in strategy.
Assess whether the CEO has fulfilled their responsibility for educating the board by evaluating the level of knowledge and understanding demonstrated by the board members. Determine if the board members have been provided with sufficient information and resources to make informed decisions. Consider whether the CEO has effectively communicated the company's goals, performance metrics, challenges, and strategies to the board.
Based on the assessment in question 2, recommend appropriate strategies. If the CEO has not adequately educated the board, suggest initiatives such as regular training sessions, workshops, or providing comprehensive reports to enhance their understanding of the business. If the CEO has fulfilled their responsibility, focus on refining the communication process and ensuring that the board receives timely and relevant information.
Determine the key quality-related data that should be reported and utilized by the board of directors. This may include data on customer satisfaction, product quality metrics, employee engagement and satisfaction, financial performance indicators, market share, or any other relevant measures that align with the organization's goals and objectives. Emphasize the importance of accurate, timely, and actionable data that enables the board to make informed decisions.
Evaluate the minutes of the board meetings to assess if they accurately reflect the discussions held during the meetings. Look for comprehensive records of agenda items, decisions made, action items assigned, and any important points or concerns raised by board members. Consider whether the minutes provide a clear and objective summary of the discussions and whether they align with the organization's leadership style and approach.
Assess whether the board is utilizing the information provided to make decisions that impact quality and performance improvement. Look for evidence of the board actively discussing and considering the quality-related data, asking relevant questions, and taking actions based on the information. Evaluate whether the board's decisions and initiatives align with the organization's goals and objectives for quality and performance improvement.
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WORTH 20 POINTS
please help me I really need help
Answer:
18.4
Step-by-step explanation:
9.2 + 9.2 = 18.4
a confidence interval provides a value that, with a certain measure of confidence, is the population parameter of interest. group startstrue or false
True. A confidence interval provides a range of values within which the population parameter of interest is estimated to lie, with a certain level of confidence.
A confidence interval is a statistical concept used to estimate an unknown population parameter, such as a mean or proportion, based on sample data. It provides a range of values within which the population parameter is believed to lie, along with a certain level of confidence.
It is used to quantify the uncertainty associated with estimating population parameters based on sample data. The confidence level represents the probability that the interval will contain the true population parameter.
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help me out with this one guys
Answer:
A
Step-by-step explanation:
If you solve it, for A you get -5x-10=-5x-10 which means all real numbers or infinite solutions
Find the value of x. A. 15 B. 28 C. 20 D. 40
Answer:
A. 15
Step-by-step explanation:
When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
Hence,
(2x + 15)° = 1/2[(10x + 20)° - 80°]
2(2x + 15)° = (10x - 60)°
4x + 30 = 10x - 60
60 + 30 = 10x - 4x
90 = 6x
90/6 = x
15 = x
x = 15
Expand to write an equivalent expression: -1/4(-8x + 12y)
Answer:
2x - 3y
Step-by-step explanation:
-1/4 (-8x +12y)
(Factor the expression)
-1/4 x 4 (-2x + 3y)
(Reduce the numbers)
- (-2x + 3y)
(Remove the parenthesis)
2x - 3y
:))
Suppose that a class has 60 students who were born in 1999. How many ways are there that no two students have the same birth date in that class
There are 60 students in the class.
They were all born in 1999. No two students in the class have the same birthday date.
Therefore, there are approximately 1.146 x 10^98 ways that no two students in the class have the same birthday date.
Summary: There are 60 students in the class who were all born in 1999. We want to find the total number of ways that no two students in the class have the same birthday date. We use the permutations formula and let n = 365 and k = 60 to get P(365, 60) = 1.146 x 10^98. Therefore, there are approximately 1.146 x 10^98 ways that no two students in the class have the same birthday date.
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Destiny is 56 3 4 inches tall. Glen is 1 1 2 inches taller than Destiny and Jane is 1 1 5 inches taller than Glen. How tall is Jane
By simple algebra, Jane is 57 9/20 inches taller.
In math, what does taller than mean?If one object or person's height exceeds that of another, the taller object or person is said to exist. There is a two-object or two-person limit. Taller is a relative term. For instance: Hoppy stands at 7 feet.
You can begin this issue by first figuring out Dwight's height. At 54 3/4 inches, he would be 1 1/2 inches taller than Chloe:
54 3/4 plus 1 1/2 equals 55 + (3/4 + 1/2) equals 55 + (3/4 + 2/4) equals 55 + 5/4 equals 56 1/4 inches.
Dwight stands at 56 1/4 inches.
Dwight is 1 1/5 inches shorter than Jane, so
56 1/4 plus 1 1/5 is 57 plus (1/4 plus 1/5) is 57 plus (5/20 plus 4/20) is 57 plus 9/20 is 57 9/20 inches.
Jane stands at 57 9/20 inches.
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Suppose a line parallel to side BC of ABC intersects sides AB and AC at points X and Y, respectively. Find the length of AC if AX=3, XB=4, and AY=1.5.
AC=2
AC=4
AC=2.5
AC=3.5
Answer: AC=3.5
Solve proportionally:3 over 4 equals 1.5 over x.
3x= 6
6/3=2
X=2
2+1.5=3.5
Suppose a line parallel to side BC of ABC intersects sides AB and AC at points X and Y, respectively. Than the length of AC will be 3.5.So,The answer is AC=3.5 Given: AX = 3 ,XB = 4, AY = 1.5
To find: AC
Since line XY is parallel to BC, then AX/XB = AY/YC
Substitute the given values: 3/4 = 1.5/YC
Solve for YC: YC = 6/5
AC = YC + AY = 6/5 + 1.5 = 3.5
Therefore, the length of AC is 3.5.
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Rotate ΔDEF 180°. Use point D as the
center of rotation.
On 180° rotation of ΔDEF, the new triangle - ΔD'E'F' is obtained with data points D'(2,-1), E'(-3,-2), and F'(-1,-5).
What is rotation?
The circular movement of an object about a centre is referred to as rotation. Different forms can be rotated by an angle about their central point. A rotation is a map in mathematics. The rotation group of a particular space refers to all rotations around a fixed point that form a group beneath a structure.
The coordinate points for ΔDEF is given.
The points are D(-2,1), E(3,2), and F(1,5)
When a shape with data points is rotated 180° clockwise or counter clockwise the formula for the data points changes.
This new formula is (x,y) → (-x,-y).
Apply this formula for ΔDEF.
D(-2,1) → [-(-2),-(1)] → D'(2,-1)
E(3,2) → [-(3),-(2)] → E'(-3,-2)
F(1,5) → [-(1),-(5)] → F'(-1,-5)
This forms a new triangle ΔD'E'F'.
The plot for the triangles are made.
Therefore, the new data points are obtained as D'(2,-1), E'(-3,-2), F'(-1,-5).
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please help i have 15 minutes
Answer:
D
Step-by-step explanation:
my math teacher just help me
i hope its right if its not sorry
Answer:
Step-by-step explanation: the 2 one
PLEASE HELP ME ASAP!!!!! I WILL GIVE YOU 30 POINTS!
For each equation, draw a tape diagram and find the unknown value.
Part A:x+9=16
Part B:4⋅x=28
Answer:
Part A=7
Part B=7
Step-by-step explanation:
Part A = 7+9=16
Part B = 4 times 7= 28
i neeed help asap please
Answer:
X=8
Step-by-step explanation:
EASY MATH
the correlation between variables x and y is .50. You compute a least squares regression line wit this bivariata data. Which of the following is true?
a. the r^2 is greater than .50
b. the regression constant is positive
c. the regression coefficient is positive
d. the slope of the regression line is negative
e. all of the above
The correlation between variables x and y is 0.50 . The true option is option (c) .
that's the regression coefficient is positive for given bivariata.
Correlation: Correlation is a statistical measure of how linearly two variables are related (meaning they change together at a constant rate). The
sample correlation coefficient r quantifies the strength of the relationship.
Correlation Coefficient: The Correlation Coefficient formula is used to examine the strength of the relationship between data. The formula returns a value between -1 and 1.
Here:
1 indicates a strong positive relationship.-1 indicates a strong negative relationship.A result of zero indicates no relationship at allPearson's correlation coefficient is denoted by "r" and is
r = (n∑xy - ∑x∑y )/√( n ∑x² - (∑x )² ) ( √ n∑y² - (∑y)²)
We have given that correlation between x and y is 0.50.
cor(x,y) = √r^2 => √r^2 = 0.50 => r ^2 = (0.50)^2
=> r^2 = 0.25 > 0 but less than 0.50 ---( 1)
Regression coefficient is the constant "b" in the regression equation that gives the change in the value of the dependent variable equal to the unit change in the independent variable.
Symbolically it can be expressed as:
bₓᵧ= r σ ₓ /σ ᵧ
where x and y are correlated
σ ₓ --> standard deviation of X
σᵧ ---> standard deviation of y
We know that standard deviations is square root value of variance of observations. we also know square root any quantity is always positive or zero.
Using the above fact about standard deviations and correlation coefficient (r) is also positive we see that bₓᵧ is postive.
Hence, Regression cofficient is positive.
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Coordinates of ( -12,-20)
Answer:
demos graphing calculator
hope this is what you were looking for !
Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67
The probability of selecting an orange marble is 0.33.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The number of times each marble is selected.
Green = 4
Black = 6
Orange = 5
Total number of times all marbles are selected.
= 4 + 6 + 5
= 15
Now,
The probability of selecting an orange marble.
= 5/15
= 1/3
= 0.33
Thus,
The probability of selecting an orange marble is 0.33.
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Divide. Write the quotient in lowest terms.
8 ÷ 1 4/5
Answer:
4.44444444
Step-by-step explanation:
Jacks' Pizza pays $2000 rent per month and each pizza costs $2 in ingredients and hourly paid labor. Pizzas sell for $5 per pizza - what is the break even number of pizzas for Jack's pizza
Answer:
667 pizzas
Step-by-step explanation:
5-2=3 Unit CM
2000/3=666.6
Can't have .6 of a pizza, so round up
667
the set of all real numbers less than -8 or greater than or equal to -4 in set builder notation
Answer:
\(\{x \in \mathbb{R}|-4 \le x \le -8\}\)
Step-by-step explanation:
What is AAS ASA SSS SAS?
The rules AAS, ASA, SSS and SAS are congruence rule of triangle and the each rules has been explained
The rules AAS, ASA, SSS and SAS are congruence rule of triangle
SSS rule is side-side-side rule, it states that if three sides of the one triangle and three sides of the other triangles are equal, then both triangles are congruent
SAS rule is side-angle-side rule, it states that if two sides and one included angles between the sides of the one triangle is equal to the two sides and one included angles between the sides of the other triangle, then both triangles are congruent
ASA rule is angle-side-angle rule, it states that if two angles and one included side between the angle of the one triangle is equal to the two angles and one included sides between the angles of the other triangle, then both triangles are congruent
AAS rules is angle-angle-side rule, it states that if two angles and one non included sides of the one triangle is equal to the two angles and one non included sides of the another triangle, then both triangles are congruent
Therefore, the AAS, ASA, SSS and SAS are the rules of congruence of the triangle
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Write the equation of the line that passes through the points (7,-6) and (-6,2).
Answer:
Here is the ans...hope it helps