Answer:
The Ballwin Bears are taller on average, and the Aviston Aces have players whose heights are more consistent.
Step-by-step explanation:
for derby dragon;
mean height = 72 inches
standard deviation = 1.2 inches
for aviston aces:
mean height = 70.8
standard deviation = 0.7 inches
for balwin bears;
mean height = 73 inches
standard deviation = 1.0 inches
the mean height of aviston aces < mean height of derby < mean height of balwin bears
So on average the balwin bears are taller.
The standard deviation of derby dragon is > that of balwin bears > aviston aces.
So the more consistent height is that of aviston aces players.
Three pipes take 1 hour to water the field. How much time will it take to water the field with 4 pipes? working out please
Ms. Benoit is a self-employed architect who earns $300,000 annual taxable income. For the past several years, her tax rate on this income has been 35 percent. Because of recent tax law changes, Ms. Benoit’s tax rate for next year will decrease to 25 percent. Based on a static forecast, how much less revenue will the government collect from Ms. Benoit is a self-employed architect who earns $300,000 annual taxable income. For the past several years, her tax rate on this income has been 35 percent. Because of recent tax law changes, Ms. Benoit’s tax rate for next year will decrease to 25 percent. a) Based on a static forecast, how much less revenue will the government collect from Ms. Benoit next year? b) How much less revenue will the government collect from Ms. Benoit next year if she responds to the rate decrease by working more hours and earning $375,000 taxable income? c) How much less revenue will the government collect from Ms. Benoit next year if she responds to the rate decre
Answer:
a
[tex]Y = \$ 30000[/tex]
b
[tex]Y = \$ 11250 [/tex]
c
[tex]X = \$ 36250 [/tex]
Step-by-step explanation:
From the question we are told that
The annual taxable income is [tex]A = \$ 300,000[/tex]
The tax rate for next year is [tex]r = 0.25[/tex]
The present tax rate is [tex]R = 0.35[/tex]
Generally the present amount of tax collected from Ms Benoit is
[tex]K = A * R[/tex]
[tex]K = 300000 * 0.35 [/tex]
=> [tex]K = \$105000 [/tex]
Generally the amount of tax collected from Ms Benoit nest year is
[tex]B = A * r[/tex]
[tex]B = 300000 * 0.25 [/tex]
=> [tex]B = \$75000 [/tex]
The reduction in the tax amount is mathematically represented as
[tex]Y = K - B[/tex]
=> [tex]Y = 105000 - 75000[/tex]
=> [tex]Y = \$ 30000[/tex]
Generally the tax amount of next year when the income is $375,000 is mathematically represented as
[tex]M = 375 000 * r[/tex]
=> [tex]M = 375 000 * 0.25[/tex]
=> [tex]M = \$ 93 750 [/tex]
The reduction in the tax amount is mathematically represented as when the income for next year is $375,000
[tex]Z = K - M[/tex]
=> [tex]Z = 105000 -93 750 [/tex]
=> [tex]Z = \$ 11250 [/tex]
Generally the tax amount of next year when the income is $275,000 is mathematically represented as
[tex]U = 275,000 * r[/tex]
=> [tex]U = 275 000* 0.25[/tex]
=> [tex]M = \$ 68 750 [/tex]
The reduction in the tax amount is mathematically represented as when the income for next year is $275,000
[tex]X = K - M[/tex]
=> [tex]X = 105000 -68 750 [/tex]
=> [tex]X = \$ 36250 [/tex]
In a class of 40 student 6 will be left handed. If a class includes 21 lefties, estimate how many students are in the class.
Answer:
27 students
Step-by-step explanation:
Find the slope of the line
Answer:
[tex]m=1[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
(1, -3)
(4, 0)
[tex]m=\frac{0-(-3)}{4-1}[/tex]
[tex]m=\frac{0+3}{3}[/tex]
[tex]m=\frac{3}{3}[/tex]
[tex]m=1[/tex]
Two angles are supplementary. One measure
3
x
−
2
and the other measures
2
x
+
7
. Find the value of x and the measure of the smaller angle.
Answer:
x = 35°77Step-by-step explanation:
Supplementary angles add up to 180°
3x - 2° + 2x + 7° = 180°5x + 5° = 180°5x = 175°x = 35°Angles
3*35° - 2° = 105° - 2° = 103°and
180° - 103° = 77°Answer:
x = 35
77 degrees
Step-by-step explanation:
Supplementary angles mean that two angles add up to measure 180 degrees.
Solve for x.
(3x - 2) + (2x + 7) = 180
~Combine like terms
5x + 5 = 180
~Subtract 5 to both sides
5x = 175
~Divide 5 to both sides
x = 35
Angle 1:
3x - 2
3(35) - 2
105 - 2
103 degrees
Angle 2:
2x + 7
2(35) + 7
70 + 7
77 degrees
103 > 77
The smaller angle is 77.
Best of Luck!
A variable star is one whose brightness alternately increases and decreases. For one such star, the time between periods of maximum brightness is 4.5 days, the average brightness (or magnitude) of the star is 5.4, and its brightness varies by ±0.30 magnitude. Find a function that models the brightness of the star as a function of time (in days), t. (Assume that at t = 0 the brightness of the star is 5.4 and that it is increasing.)
Answer:
f(t) = 5.4 + 0.3sin (2π/4.5t)
Step-by-step explanation:
See attachment
Find the product of (x-13)(x+3)
[tex](x - 13)(x + 3) \\ = x {}^{2} + 3x - 13x - 39 \\ = x {}^{2} - 10x - 39 [/tex]
Which ordered pairs are solutions to the equation x + 6y = 4?
Answer:
24
Step-by-step explanation:
For example, the ordered pair x + 6y = 4 answer is 24
The required ordered pair is the solution of the equation x + 6y = 4 is (1, 1/2).
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
Given equation,
x + 6y = 4,
In order to determine the ordered pair for the given equation, we must assign the value of the one variable, so the satisfied value of the other value of the independent variable will be determined, and the pair will be said to be the required ordered pair.
Now,
Put x = 1
1 + 6y = 4
y = 4 -1 / 6
y = 1/2
Thus, the required ordered pair is the solution of the equation x + 6y = 4 is (1, 1/2).
Learn more about equations here:
brainly.com/question/10413253
#SPJ5
Simplify: 25 × {8 – (21 ÷ 3)} + 18
Answer:
I solved it and my answer is 43
Step-by-step explanation:
25×{8- (7)} +18
25 (1) +18
25×1=25
25+18=
43
whats -4+1 is it -3?
Answer: YES
Step-by-step explanation:
Answer:
the corrects answer is -3
Step-by-step explanation:
The producer believes that there is more variety in people's appreciation of comedies, and so he assumes that the two population standard deviations are not equal in this situation. Calculate the test statistic (t) for this test. Give your answer to 3 decimal places.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]t = 2.51 [/tex]
Step-by-step explanation:
From the question we are told that
From the question we are told that
The first sample mean is [tex]\= x_1 = 71.1[/tex]
The first standard deviation is [tex]\sigma _1 = 19.4[/tex]
The second sample mean is [tex]\= x_2 = 63.4[/tex]
The second sample deviation is [tex]\sigma_2 = 10.5[/tex]
The first sample size is [tex]n_1 = 55[/tex]
The second sample size is [tex]n_2 = 46[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x_1 - \= x_2 }{ \sqrt{\frac{s_1^2 }{n_1} +\frac{s_2^2 }{n_2} } }[/tex]
=> [tex]t = \frac{71.1 - 63.4 }{ \sqrt{\frac{19.4^2 }{55} +\frac{10.5^2 }{46} } }[/tex]
=> [tex]t = 2.51 [/tex]
A one-tailed hypothesis test with the t statistic Antisocial personality disorder (ASPD) is characterized by deceitfulness, reckless disregard for the well-being of others, a diminished capacity for remorse, superficial charm, thrill seeking, and poor behavioral control. ASPD is not normally diagnosed in children or adolescents, but antisocial tendencies can sometimes be recognized in childhood or early adolescence. James Blair and his colleagues have studied the ability of children with antisocial tendencies to recognize facial expressions that depict sadness, happiness, anger, disgust, fear, and surprise. They have found that children with antisocial tendencies have selective impairments, with significantly more difficulty recognizing fearful and sad expressions. Suppose you have a sample of 40 16-year-old children with antisocial tendencies and you are particularly interested in the emotion of disgust. The average 16-year-old has a score on the emotion recognition scale of 11.80. (The higher the score on this scale, the more strongly an emotion has to be displayed to be correctly identified. Therefore, higher scores indicate greater difficulty recognizing the emotion). Assume that scores on the emotion recognition scale are normally distributed.
The null hypothesis is that your sample of children with antisocial tendencies would have no more difficulty recognizing emotion than the general population of 16-year-olds. Stated using symbols:_________. This is a __________ tailed test. Given what you know, you will evaluate this hypothesis using a________ statistic.
Step-by-step explanation
The answers in bold is what was required from the question.
the null hypothesis using symbol:-
H₀ : μ = 11.80
the alternative hypothesis using symbol:-
H₁: μ ≠ 11.80
This is a one tailed test. Given what you know, you will evaluate this hypothesis using a t test statistic.
Alpha level = 0.05
Sample size = n
Degree of freedom = n-1 = 40-1 = 39
To use the t distribution we will have to find the critical value from the t table this value is 1.685
But the question does not have sample mean and sample standard deviation. So I was unable to solve for the standard error
−3(−3x+1)=−6
What’s the answer to this
Answer:
x = -1/3
Step-by-step explanation:
In one day's work at the nursery, Dale and Mary together potted 74 plants. If Dale potted 48 , how many did Mary pot?
Answer: Mary potted 27 plants.
Step-by-step explanation:
Please help me find the answer
Answer:
Translation And Rotation I believe!
Step-by-step explanation:
Many studies have found an association between red meat consumption and an increased risk of chronic diseases. What is the relationship between red meat consumption and mortality? A large study followed 120,000 men and women who were free of coronary heart disease and cancer at the beginning of the study. Participants were asked detailed questions about their eating habits every four years, and the study spanned almost 30 years. It was found that the risk of dying at an early age—from heart disease, cancer, or any other cause, rises with the amount of red meat that they consumed.
A. Is this an observational study or an experiment?This is an observational studyThis is an experimentB. What are the explanatory and response variables?The explanatory variable is:____A. Red meat consumption.B. Whether or not a subject dies.The response variable is:____A. Red meat consumption.B. Whether or not a subject dies.
Answer:
1. This is an observational study.
2. The explanatory variable is A. red meat consumption
3. The response variable is B. Whether or not a subject dies.
Step-by-step explanation:
1. An observational study is a type of study where the researcher would observe the effects and he would also make no attempt to change the outcome
2. The explanatory variable is also called the independent variable and in this case it is red meat consumption because it is what would be used to predict the dependent variable
3. The response variable is known as the dependent variable it is our variable of interest. It is what the researcher is trying to find out. In this case the answer is whether or not the subject dies
A new campus was built on a 1100-acre plot of land. How many square miles does it cover? Round to two decimal places, if necessary.
Answer:
Step-by-step explanation:
2.66
Help pls
5/2x-7=3/4x+14
[tex]\frac{5}{2}x-7=\frac{3}{4}x+14[/tex]
[tex]\frac{5x}{2}-7=\frac{3}{4}x+14\\\\\frac{5x}{2}-7=\frac{3x}{4}+14[/tex]
10x−28=3x+56
10x=3x+56+28
10x=3x+84
10x−3x=84
7x=84
[tex]x=\frac{84}{7}[/tex]
x=12
Hope this helps, have a blessed and wonderful day!
I really don’t understand this question I put a picture in
Answer:
The answer is 1 4 and the last one
Step-by-step explanation:
graph the equation y = 4x -2.
I have attached the graph
What is the domain of the relation?
1. At the Jackson Concrete Company, the regular work week is 40 hours. If an employee works more than 40 hours per week they are eligible to receive overtime pay, which is 1.5 times their normal pay rate. Calculate the gross earnings for each of the following employees: Alicia Mitze's pay rate is $12 she works 8 hours Monday through Friday, works 2 hours saturday and 4 hours sunday. what are her gross earnings
Answer:
$ 588Step-by-step explanation:
regular working hours = 40
excess is to be paid = 1.5 times the rate
rate = $ 12/hour
Alicia worked:
8 hours Mon to Fri = 8 x 5 = 40 hours x $12 per hour = $ 480
2 hours Sat = 2 hours x ($12 x 1.5) = $ 36
4 hours Sun = 4 hours x ($12 x 1.5) = $ 72
total = $ 588
3 2/3 x 3/4 multiply fractions pls I don’t have much time!
Answer:
2.75
hope you get a 100!!
HELP PLEASE ASAP DUE TODAYYYYYYYYYYYY PLEASEEEW
Answer:
600
Step-by-step explanation:
I’ll mark brainlist i need help
witch ones do you need help with
If you get 80% correct on your quiz and you get 16 questions right what was the total number of the questions on the quiz
A coffee manufacturer is interested in the mean daily consumpiton of regular-coffee drinkers and decaffeinated-coffee drinkers. A random sample of 50 regular-coffee drinkers showed a mean of 3.84 cups per day. A sample of 40 decaffeinated-coffee drinkers shoed a mean of 3.35 cups per day. The sample stnadard deviation for those drinking regular coffee is 1.20 cups per day an 1.36 cups per day for those drinking decaffeinated coffee. Assume the population standard deviations are euql. At the 5% significance level, is the mean daily consumption of reglar-coffee drinkers greater than that of decaffeinated-cofee? Find the p-value for this hypothesis test.
Answer:
The decision rule is
Reject the null hypothesis
The conclusion
There is sufficient evidence to conclude that mean daily consumption of regular-coffee drinkers greater than that of decaffeinated-coffee.
The p-value is [tex]p-value = 0.03682 [/tex]
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_ 1 = 50[/tex]
The first sample mean is [tex]\=x_1 = 3.84[/tex]
The first sample standard deviation is [tex]s_1 = 1.26[/tex]
The second sample size is [tex]n_2 = 40[/tex]
The second sample mean is [tex]\=x_2 = 3.35 [/tex]
The second sample standard deviation is [tex]s_2 = 1.36[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 > \mu_2[/tex]
Generally the test hypothesis is mathematically represented as
[tex]t = \frac{( \= x_1 - \= x_2 ) - 0}{ \sqrt{ \frac{s^2_1 }{n_1} + \frac{s^2_2}{n_2} } }[/tex]
=> [tex]t = \frac{( 3.84 - 3.35 ) - 0}{ \sqrt{ \frac{1.26^2 }{50} + \frac{1.36^2}{40} } }[/tex]
=> [tex] t = 1.789 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(t > 1.789)[/tex]
From the z table
[tex]\Phi (1.789) = 0.03682[/tex]
So
[tex]p-value = P(t > 1.789) = 0.03682 [/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion
There is sufficient evidence to conclude that mean daily consumption of regular-coffee drinkers greater than that of decaffeinated-coffee
3(2x+5) = 3x + 4x
What is the solution?
Answer:
15
Step-by-step explanation:
Step 1:
3 ( 2x + 5 ) = 3x + 4x Equation
Step 2:
6x + 15 = 7x Combine Like Terms/Multiply
Step 3:
15 = 7x - 6x Subtract 6x on both sides
Answer:
15 = x
Hope This Helps :)
XANDER TRAVELED 8,568 MILES IN 17 DAYS. ON AVERAGE HOW MANY MILES PER DAY DOES HE TRAVEL
Answer:
504 Miles per day
8,568 / 17 = 504
Step-by-step explanation:
Jennifer bought three buckets at the hardware store. The total cost was $19.95 for all
three buckets. How much did each bucket cost? Explain how you got your answer.