Using the concept of arithmetic sequence, the 5000th term can be obtained using the relation 4 + (5000 - 1)9
For an arithmetic sequence, the nth term is calculated using the relation :
Tn = a + (n - 1)d d = common difference n = nth term a = first termHere,
First term, a = 4
Common difference = 2nd term - 1st term = 13 - 4 = 9
nth term = 5000th term
The expression would be :
The required expression would be : T(5000) = 4 + (5000 - 1)9
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Answer:
D) 15/4+5.4
Step-by-step explanation:
The claim is that for 10 am body temp of males the mean is less than 98.6 f the sample size is n = 38 and the test statistic is t=-3.768
Answer:
See below
Step-by-step explanation:
The null hypothesis would be [tex]H_o:\mu\leq98.6[/tex] which would suggest the claim that the mean body temperature for males is equal to or less than 98.6°
The alternate hypothesis would be [tex]H_1:\mu>98.6[/tex] which would suggest that the mean body temperature for males is greater than 98.6°
The test statistic, t, is given to us as [tex]t=-3.77[/tex], rounded to 2 decimal places
We can determine the p-value by calculating tcdf(-1e99,-3.77,37). This means that we are finding the area less than the t-statistic with degrees of freedom equal to df=n-1=38-1=37. Therefore, the p-value is 0.000285 when evaluated.
Therefore, because our p-value is less than our significance level of α=0.01, there is no sufficient evidence to prove that the claim that for 10 AM body temperatures for males, the mean is less than 98.6°F, is true. We reject the null hypothesis, in other words, because the p-value suggests that it's unlikely that the null hypothesis is true.
The null hypothesis is rejected since the p-value shows that it is unlikely to be true.
What is the hypothesis?In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.
As per the given question, the required solution would be as:
A) Hypothesis test :
The null and alternative hypothesis is
Hi : u = 98.6
Ha : u < 98.6
B) Test statistic is t = -3.831
C) sample size, n= 31
degree of freedom,
df = n -1 = 31 - 1 = 30
P-value = p(t < -3.831 )
= 0.0003 (from t table)
d) P-value < 0.10, reject the null hypothesis.
is, support
As a result, because our p-value is less than our significance level of =0.01, there is insufficient evidence to support the assertion that the mean body temperature for men at 10 AM is less than 98.6°F.
Thus, we reject the null hypothesis since the p-value shows that it is unlikely to be true.
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What is the difference of the polynomials? (9x2 +8x) -(2x2+3x) 7x2+5x 7x2+11x 11x2+5x 11x2+11x
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Mr.Thomson wants to protect his garage by installing a flood barrier. He connects 2 barriers side by side. Each barrier is 9 feet high. What is the combined area of the barriers
Answer:
300 ft
Step-by-step explanation:
Which pair of functions are inverses of each other?
Answer: c ic the answer
c is the answer
Step-by-step explanation:
c is the answer
find the three common multiple of
a)3 and 18
b)9 and 13
c)5 and 17
Answer:
I think these are the answers
a) 3
b) 1
c) 1
the decimal equivalent of 14/26
Answer: 0.53846153846154
Step-by-step explanation: you do
= 14/26
= 14 ÷ 26
= 0.53846153846154
What is the equation of the line that passes through the point (2,-6)(2,−6) and has a slope of -1−1?
Answer:
y=-x-4
Step-by-step explanation:
What is the value of x in the equation 4(2x – 8) = 8(4x + 2)?
Answer:
x=-2
Step-by-step explanation:
4(2x – 8) = 8(4x + 2)
Distribute
8x -32 = 32x+16
Subtract 8x from each side
8x-32 -8x = 32x+16-8x
-32 = 24x+16
Subtract 16 from each side
-32-16 = 24x+16-16
-48 = 24x
Divide by 24
-48/24 = 24x/24
-2 =x
What is the degree of angle o?
Show work
Camelle manages her soccer team. she needs to order 4 practice jerseys for each player. There are y players how many total practice jerseys does she need to order?
write and expression
Answer:
T= total # of jerseys to order
y= # of players
T= 4*y
Total equals 4 times # of players
T= 4y
Mr. Yueng graded his students’ math quizzes.
Students came up with four different answers when solving the equation x3 = 22.
Answer:
7.3*
Step-by-step explanation:
do the inverse:
22/3=7.3*
*=recurring
help need it done for tomorrow
Step-by-step explanation:
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C)
with the sides being opposite to the angles.
so,
14/sin(80) = x/sin(60)
x = 14×sin(60)/sin(80) ≈ 12.3cm
Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (Thank you so much for anyone who answers it
Answer:
She could out 20 necklaces and 20 bracelets on display and she would make $600.
Step-by-step explanation:
$18 necklaces x 20= $360
$12 bracelets x 20 = $240
totalling $600
h(x)=2x+5 for h(x+3)
solve for h(x+3)
pls help aaaaaaaaaaaa i
Answer:
According to transitive Property of equality : If a =b and b = c then a = c
In this problem you are given with 2 equations:
h(x) = - 2x + 5 ---- 1
h(x) = 3 ------ 2
Apply transitive Property of equality to equation 1 and 2
- 2x + 5 = 3 Now solve for x.
-2x + 5 - 5 = 3 – 5 subtract 5 on both sides.
-2x = -2
(-2x)/(-2) = (-2) / (-2) Divide with -2 on both sides.
X = 1
Step-by-step explanation: I hope this helps.
3(x+2)=5x-7
Work out value of x
Answer:
first distribute:
3x+6=5x-7
then combine the x's:
-2x+6=-7
get rid of the 6:
-2x=-13
divide the 2:
6.5
Step-by-step explanation:
Answer:
x = 13/2
Step-by-step explanation:
3(x+2) = 5x-7 3x+6 = 5x-73x-5x = -7-6-2x = -13x = -13/-2x = 13/2Andrew owns a plumbing company .the table shows the total amount charged based on the number of hours it takes to complete a job . Which equation best represents this situation?
Andrew's charges is an illustration of a linear function
The equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]
From the table (see attachment), we have the following points
(x,y) = (1,57) and (2,69)
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{69 - 57}{2 -1}}\\[/tex]
Simplify fraction
[tex]\mathbf{m = \frac{12}{1}}[/tex]
Divide
[tex]\mathbf{m = 12}[/tex]
The equation is then calculated using:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{y = 12(x - 1) + 57}[/tex]
Open brackets
[tex]\mathbf{y = 12x - 12 + 57}[/tex]
Evaluate like terms
[tex]\mathbf{y = 12x +45}[/tex]
Hence, the equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]
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Help,
Is the following triangle acute, obtuse, or a right triangle
Answer:
Right-as long as it has one right angle it is a right triangle. It actually can't have more than one right angle.
Step-by-step explanation:
100 points if u get this right ty bye now!
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Hoped this helped
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
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Answer: The answer is 120 degrees, mama
Step-by-step explanation:
(n-2)180
What i mean by n is the total amount of sides so in this case it would be 6. so the equation would look like (6-2)180.
6-2=4
(4)180
720
720/6
120 thats how you get the answer
Find the slope of the line x=+6
Step-by-step explanation:
x = 6
is a straight vertical line (parallel to the y-axis, going through x=6 on the x-axis).
it's slope is therefore undefined (infinite). every possible y value (from -infinity to +infinity) is associated with this one x value (6).
Evaluate. 12⋅(1/4+1/3)2+2/3 enter your answer as a mixed number
Answer:
14 2/3
Step-by-step explanation:
i took the test
what is the solution set of the equation set 3|5-x|+2=29 ?
Answer:
Answer: x = - 4 or x = 14.
Step-by-step explanation:
Rearrange unknown terms to the left side of the equation:3 |5 - x| = 29 - 2Calculate the sum or diff.
The times for running a 5K for a local charity event are Normally distributed with a mean time of 28 minutes and
standard deviation of 5.4 minutes. Which time represents the 60th percentile?
Find the z-table here.
A. 19.6 minutes
B. 26.6 minutes
C. 29.4 minutes
D. 36.4 minutes
Answer:
29.4 minutes represents the 60th percentile
Step-by-step explanation:
Given : The times for running a 5K for a local charity event are Normally distributed, with a mean time of 28 minutes and standard deviation of 5.4 minutes.
To Find : Which time represents the 60th percentile?
19.6 minutes
26.6 minutes
29.4 minutes
36.4 minutes
Solution:
time represents the 60th percentile
Means 60 % data = 0.6 below this
from z table , z score for this = 0.253
z score = ( Value - Mean ) / SD
=> 0.253 = ( Value - 28 ) /5.4
=> 1.3662 = Value - 28
=> Value = 29.3662
=> Value = 29.4
29.4 minutes represents the 60th percentile
When x=3, the value of x^2-2 is?
Answer:
7
Step-by-step explanation:
First you would square 3 which is nine. Then subrtact 2. The final answer is 7 .
You and 2 friends have a job cleaning houses. You split the total money you make so
that you each get the same amount. On the first day, you earn $93. The second day,
you earn $75. The third day, you earn $108. How much money do you each get for :
days of work?
Answer:
92 dollars each luv:)
Step-by-step explanation:
find the slope of the line
Answer:
-2
Step-by-step explanation:
[tex]\frac{(-5-1)}{(3-0)}[/tex] = [tex]\frac{-6}{3}[/tex] = -2
A math student made the following conjecture:
When you add a multiple of 5 and a multiple of 8, the answer is a multiple of 5.
Which of the following numbers can be used as a counterexample to the conjecture?
A. 80 + 8 = 88
B. 16 + 16= 32
C. 10 + 5 = 15
D. 10 + 40 = 50
Answer:
D is the answer
Step-by-step explanation:
10 is multiple of 5 and 40 is the multiple of 8
50 is the multiple of 5
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Laura is saving to buy a 10-speed bike that costs $189. For four weeks she saved part of her check in the amounts of $15, $39, $18 and $27. How much more does she need?
Answer:
90$
Step-by-step explanation:
Answer:
$90
Step-by-step explanation:
$15 + $39 + $18 + $27 = $99
$189 - $99 = $90
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The mean, median, and mode of a distribution are __________. A. Measures of central tendency B. Measures of variability C. Types of transformed scores D. Types of deviations Please select the best answer from the choices provided A B C D.
The mean, median, and mode of a distribution are measures of central tendency.
A measure of central tendency of a data set determines its central value. Measures of central tendency are mean median and mode.
Mean is the average of a set of numbers.
Mode refers to a value that appears most frequently in a data set.
Median is the number in the centre of a data set.
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Answer:
A
Step-by-step explanation:
