Answer:
s2 = 105174.93
Step-by-step explanation:
s2=∑ni=1(xi−x¯)^2 / n−1
Billy worked 68 hours this week at his job. He worked 4 hours less than 3 times
the hours he worked last week "w". What expression can be used to solve this
problem?
Answer:
3w-4 = 68
Hope this helped!
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
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If Steve paid back $7,945 on a $7000 simple interest loan after 3
years. What was the interest rate?
Answer:
interest rate= 4.5%
Step-by-step explanation:
steve paid back=7945
loan------------------7000
total interest for 3 years=945
for one year-----------------=315
rate of interest= (315 X 100)/7000= 4.5%
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
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:
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]
1A. We draw five cards at random with replacement, keeping track of whether or not each card in the sequence is a club. Find the probability of the following sequence: Club, Not Club, Club, Not Club, Not Club, i.e. CNCNN.
B. Notice that all sequences of 5 cards with exactly two clubs have the same probability. Based on this fact and your result in a), find the probability of getting exactly 2 clubs in a sequence of 5 cards drawn at random with replacement from a 52 card deck.
Answer:
135/512
Step-by-step explanation:
In a deck of card, there are 13clubs.
A deck of card contains 52cards
Total clubs = 13cards
Probability of selecting a club and replacing is expressed as P(C) = total number of clubs/total card
P(C) = 13/52 = 1/4
q = 1-p
q = 1-1/4
q =3/4
Let X be probability function used is a binomial distribution formula expressed as:
Since 5cards is drawn at random, n = 5
P(X = x) = nCx q^(n-x)p^x
P(X = x) = 5Cx 3/4^(5-x)•(1/4)^x
The probability of the sequence is expressed as:
P(X = x) = 5Cx 3/4^(5-x)•(1/4)^x
x is the number of clubs present
b) To find the probability of getting exactly 2 clubs in a sequence of 5 cards drawn at random with replacement from a 52 card deck, we will substitute x = 2 into the probability function in (a) a shown;
P(X = 2) = 5C2•3/4^(5-2)•(1/4)^2
P(X = 2) = 5C2•3/4^(3)•(1/4)^2
P(X = 2) = 5C2•27/64•(1/16)
P(X = 2) = 5C2•27/1024
P(X = 2) = 5!/(5-2)!2!•27/1024
P(X = 2) = 5!/3!2!•9/1024
P(X = 2) = 5×4×3!/3!2•27/1024
P(X = 2) = 5×4/2•27/1024
P(X = 2) = 10•27/1024
P(X = 2) = 135/512
Hence the probability of getting exactly 2 clubs in a sequence of 5 cards drawn at random with replacement from a 52 card deck is 135/512
whats -4+1 is it -3?
Answer: YES
Step-by-step explanation:
Answer:
the corrects answer is -3
Step-by-step explanation:
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
graph the equation y = 4x -2.
I have attached the graph
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.
I have a picture I really need help with math please someone
Step-by-step explanation:
6 goes in ones or the green
3 goes in tenths or the yellow
2 goes in hundreths or the purple
4 goes in thousands or the orange
Answer: 6 goes in the ones then the 3 goes tenths 2 in hundredths and 4 in the thousands
eight hundredths six tens three ones decimal one tenths four hundredths one thousand
Step-by-step explanation:
What is the domain of the relation?
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:
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
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!
HELP PLEASE ASAP DUE TODAYYYYYYYYYYYY PLEASEEEW
Answer:
600
Step-by-step explanation:
Find the product of (x-13)(x+3)
[tex](x - 13)(x + 3) \\ = x {}^{2} + 3x - 13x - 39 \\ = x {}^{2} - 10x - 39 [/tex]
Graph two lines whose solution is (1,4)
Answer:
(1,4) and (0,-1)
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
Can you explain how to divid fractions so I can help my daughter.
3/8 ÷ 2/3=
Answer: 9/16
Explanation: When dividing by a fraction, we can change
the division sign to multiplication and flip the second fraction.
So 3/8 ÷ 2/3 means the same thing as 3/8 · 3/2.
So when dividing by a fraction, we can just multiply
by the reciprocal of that fraction or that fraction flipped.
Now multiplying across the numerators and denominators, we have 9/16.
Since 9/16 is in lowest-terms, it's or final answer.
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
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
Work out an equation of the straight line with gradient 3 that passes through the point with coordinates (2, 4).
Answer:
The answer is
[tex] \huge \boxed{y = 3x - 10}[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (2, 4) and the slope is 3
The equation of the line is
[tex]y - 4 = 3(x - 2) \\ y + 4 = 3x - 6 \\ y = 3x - 6 - 4[/tex]
We have the final answer as
[tex]y = 3x - 10[/tex]
Hope this helps you
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
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
Find the slope of the line
Answer: m = -3/2
Step-by-step explanation: In algebra, we use the word slope
to describe how steep a line is and slope can be found using
the ratio rise/run between any two points that are on that line.
Let's start from the point (0, 0).
From this point, we go down 3 units and to the right 2 units.
So our rise is -3 and our run is 2.
So our slope or rise/run is -3/2.
The variable that's used to represent slope is m.
So we say that m = -3/2
Answer:
-3/2
Step-by-step explanation: Rise 3 from the first (lower) dot then run 2 to the higher dot. Its negative because it is going down from left to right.
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:
3 2/3 x 3/4 multiply fractions pls I don’t have much time!
Answer:
2.75
hope you get a 100!!
Please help me find the answer
Answer:
Translation And Rotation I believe!
Step-by-step explanation: