Answers
Answer:
a = -30
d = -32 - (-30) = -2
n = 96
So, using A.P. formula-
Tn = a + (n-1) d
T96 = -30 + (96-1) -2
T96 = -30 + (95) -2
T96 = -30 - 190
T96 = -220
plz mark as brainliest
Related Questions
Evan adds 2/1/4 quarts of apple juice to some grape juice to make 5/1/2 quarts of fruit punch. Part A: write an equation to find the amount of grape juice g in the punch. Part B: How much grape juice is in the punch?
Answers
Answer:
3 1/4 qt.
Step-by-step explanation:
5 1/2 - 2 1/4 = 3 1/4
Please help due soon.
Answers
Pls help i really need this
Answers
Answer:
5/7
Step-by-step explanation:
take the basic fact 5 - 3
Answer:
5/7
Step-by-step explanation:
3/7+2/7=5/7
5/7-3/7=2/7
Sailors once used a unit of length called a fathom to measure the depth of the water. Each fathom is equal to 6 feet. Which equation represents the relationship between x, the depth of water in fathoms, and y, the depth of the water in feet?
Answers
Answer:
Y=x*(6 feet/ 1 fathom)
Step-by-step explanation:
28,490 - 478.29 solve
Answers
Answer:
28,011.71
Step-by-step explanation:
Anyone know how solve it
Answers
Answer:
nope sorry :( maybe some one else can help u
Step-by-step explanation:
sorryyy
PLEASE HELP ITS URGENT DONT GUESS (also if you get it right ill mark you as brainliest)
Answers
Answer:
551 ft
Step-by-step explanation:
i pretty sure thats it sorry if its wrong
someone help me with math :):
Which of the following is not an integer?
1. 0
2. 1\2
3. 9
4. -13
what number? 1,2,3, or 4?
Answers
Only whole numbers can be integers for future reference :)
The degree measure of an angle in a right triangle is x, and sin x = 0.354, which of the following expressions is also equal to 0.354?
Answers
Answer:
cos(90° -x), cos(45° -x), cos(x), and cos(x- 45°) that's how mine looks like anyways
Step-by-step explanation:
A help desk has two employees with one working during the day and one working at night. The number of hours the first employee works (X1) is normally distributed with mean 8.6 and standard deviation 0.1 and the number of hours the second employee works (X2) is normally distributed with mean 8.4 and standard deviation 0.9. Suppose that the amount of time that the employees overlap (X3) is normally distributed with mean 0.2 and standard deviation 0.2. Finally, assume that X1, X2, and X3 are independent. We are interested in the total time that the help desk has an employee present, i.e., Z = X1 + X2 - X3. A) What is the expected value of Z, the total time that the help desk has an employee present? B) What is the variance of Z? C) What is the probability that Z is between 15.9 and 16.1? D) What is the probability that Z is greater than 16?
Answers
Answer:
a) 16.8 hours.
b) 0.86 hours squared.
c) 0.0606 = 6.06% probability that Z is between 15.9 and 16.1.
d) 0.8051 = 80.51% probability that Z is greater than 16
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Sum of normal variables:
When we add normal variables, the mean is the sum of each mean, while the variance is the sum of each variance. The standard deviation is the squared root of the variance.
In this question:
X1: Mean 8.6, standard deviation 0.1
X2: Mean 8.4, standard deviation 0.9
X3: Mean 0.2, standard deviation 0.2
Z = X1 + X2 - X3.
Mean:
[tex]\mu = 8.6 + 8.4 - 0.2 = 16.8[/tex]
Variance:
[tex]\sigma^{2} = 0.1^2 + 0.9^2 + 0.2^2 = 0.86[/tex]
Standard deviation:
[tex]\sigma = \sqrt{\sigma^{2}} = \sqrt{0.86} = 0.9274[/tex]
A) What is the expected value of Z, the total time that the help desk has an employee present?
[tex]\mu = 16.8[/tex]
So 16.8 hours.
B) What is the variance of Z?
[tex]\sigma = 0.86[/tex]
So 0.86 hours squared.
C) What is the probability that Z is between 15.9 and 16.1?
This is the pvalue of Z when X = 16.1 subtracted by the pvalue of Z when X = 15.9. So
X = 16.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16.1 - 16.8}{0.9274}[/tex]
[tex]Z = -0.75[/tex]
[tex]Z = -0.75[/tex] has a pvalue of 0.2266
X = 15.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15.9 - 16.8}{0.9274}[/tex]
[tex]Z = -0.97[/tex]
[tex]Z = -0.97[/tex] has a pvalue of 0.1660
0.2266 - 0.1660 = 0.0606
0.0606 = 6.06% probability that Z is between 15.9 and 16.1.
D) What is the probability that Z is greater than 16?
This is 1 subtracted by the pvalue of Z when X = 16. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 16.8}{0.9274}[/tex]
[tex]Z = -0.86[/tex]
[tex]Z = -0.86[/tex] has a pvalue of 0.1949
1 - 0.1949 = 0.8051
0.8051 = 80.51% probability that Z is greater than 16
The ratio of the number of boys to the number of girls in orchestra is 3 to 2. There are 40 girls in the orchestra, how many boys are in the orchestra? (GIVING BRAINLIEST!!)
Answers
Answer:
there are 30 boys in the orchestra
A survey found that 68% of students do their homework before 10:00 P.M. Predict how many students out of 1,095 do their homework before 10:00 P.M.
Answers
Answer:
744.6 or if you round it 745
Step-by-step explanation:
Step 1: Divide 1095 by 100
In this case, the number that we are "comparing" to 100 is 1095, so we must first normalize the number by dividing it by 100. The operation we have to solve is this:
1095/100= 1095÷100= 10.95
Step 2: Multiply 10.95 by 68 to get the solution
Now that we have our normalized number, 10.95, we just have to multiply it by 68 to get our final answer. The forumla for this is obviously quite simple:
10.95×68= 744.6
A recipe requires 1 cup of flour for every batch of cookies. How many full batches of cookies can be
made with 52 cups of flour?
Answers
Maria tests the effectiveness of an anti-depression drug by recruiting 500 participants and randomly assigning half e participants to take Drug A for 1 month and the other half to take a placebo for 1 month. At the end of the month, depression levels are recorded. Overall, participants who received Drug A had depression scores of M-32.12, SD- 10.58 and those you received the placebo had depression scores of M- 34.29. SD 11.10, t(498) 2.17,p .01 (one tailed], d19. Faced with these data, Maria needs to write a report in which she interprets the data. Which of the following is the best summary of these data?
A. The p value is very small, showing that there is only a 1% chance of a Type l error. we can be 99% confident that the drug significantly reduces depression.
B. The results of the t-test are significant, but the effect size is small. This study should be replicated with a larger sample size to increase statistical power.
C. The results of the t-test are significant, but the effect size is small. The drug does lower depression, but it is not clear if the reduction is enough to warrant use of the drug.
D. The small p value and the small effect size suggest that the observed difference between the drug adplacebo groups are likely to be due to sampling error. This study should be replicated with a larger sample size.
Answers
Answer:
D. The small p value and the small effect size suggest that the observed difference between the drug placebo groups are likely to be due to sampling error. This study should be replicated with a larger sample size.
Step-by-step explanation:
The p value is determined for any test before making a conclusion. If the p-value is smaller than critical value then we reject the null hypothesis which means that drug is not effective for the reducing depression. A very small p-value usually lesser than 0.05 indicates strong evidence against the null hypothesis.
For the linear function, y increases by a
of 3 each time x increases by 1.
For the exponential function, y increases by a(n)
of 3.
Answers
Answer:
The linear equation is:
y = 3*x
when x = 1
y = 3*1 = 3
when x = 2
y = 3*2 = 6
Then as x increases one unit, y increases 3 units.
Then the correct statement would be something like:
"For the linear function, y increases by a sum of 3 each time x increases 1"
The exponential function is:
y = 3^x
When x = 1
y = 3^1 = 3
When x = 2
y = 3^2 = 3*3
when x = 3
y = 3^3 = 3*3*3
So when x increases by 1, we multiply the previous value of y by 3.
Then the correct sentence is something like:
"For the exponential function, y increases by a factor of 3".
Answer: for the linear function y increases by a difference
for the exponential function y increases by a(n) ratio.
Step-by-step explanation:
I NEED HELP ASAP ON DESCRIBING THE RELATIVE. ITS 6TH GRADE MATH
Answers
Answer: is 4:2 ratio and 3:5
-3,5 is negative and 2,4 positive
Step-by-step explanation:
PLEASE HELP!!! use the pic to understand the question
Answers
Answer:
this is confusing. I'll try my best to sort it out for you. I'll tap in once I figure it out
What is the domain and range as an inequality and if you could explain how you got it that would be great
Answers
Answer:
As per the graph, the function starts at point (0, -2) point it self not included.
The graph is extended down and right, so the given point is maximum of the function.
The domain:
x > 0 or x = (0, +∞)The range:
y < -2 or (- ∞, -2)Range
Set of y values
(-oo,-2)As -2 is not included (open dot)
Domain
Set of x values
(0,oo)0 is not included (open dot)
NO LINK I WILL MARK BRAINLIEST
Answers
Answer:
13.5
Step-by-step explanation:
A study was conducted to investigate the effectiveness of a new aspirin-derivative in reducing pain. Results for randomly selected subjects are presented in the Assignment # 8 Excel worksheet. A lower score indicates less pain. The "before" value is matched to an "after" value and the differences are calculated ( on your excel worksheet ) . The differences have a normal distribution. Are the pain-reduction measurements, on average, lower after taking the new aspirin-derivative ? Test at a 1 % significance level.
Answers
Help with both plz I’ll mark brainliest
Answers
Answer:
(1,6) is not a solution and I think the second one is: c I think
Step-by-step explanation:
through: (4, 5), slope = 1
Answers
Answer:
Step-by-step explanation:
You want an equation for the line of slope 1 that passes through (4,5)?
Point-slope equation:
y-5 = 1(x-4)
in slope-intercept form:
y = x+1
you are sitting on the edge of a pool with your legs in the water .as light waves pass from the pool into the air it look like your legs are not attached at the knees where they meet the water.this is because when they pass from one medium to another
Answers
Answer: The reason they do this is water refraction. I don't know if this was a question or not, but here you go.
ABCDE~GHJDF. complete the statements
i figured out a. is angle B but i cant figure out statement 2 pls help!!!!
Answers
Answer:
DC
Step-by-step explanation:
If you consider that we're looking at the same shape at two different scales, then we can simply look at which sides correlate with one another.
In the smaller shape, GH is in the same place as AB in the bigger one.
Similarly, the smaller shape has DJ in the same place that the larger one has DC. This means that dC is the answer to question b.
Is (9, 2) a solution to the system below?
x−4y=1, 2x−3y=3
1. Yes. (9, 2) is a solution to the system
2. No. (9, 2) is only a solution for the equation
3. No, (9, 2) is only a solution for the equation
4. No. (9, 2) is not a solution for either equation.
Answers
A line has a slope of 2/3 and passes through the point (6,11)
Answers
Answer:
y=2/3x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-11=2/3(x-6)
y=2/3x-12/3+11
y=2/3x-4+11
y=2/3x+7
all muntiple of 5 is an odd number true proposition?
Answers
a of 5 is 2.5 b of 5 is 2.5 although 5+5=10 = 2.5×4 =10 (even) x of 5 is odd and y of 5 is even
Therefore, its false;)
5th grade math. correct answer will be marked brainliest
Answers
Answer: 1 1/4
5/4
Step-by-step explanation:
[tex]\frac{1}{2} + \frac{3}{4}[/tex] (im assuming its 3/4)
make 1/2 into 2/4 so its easier to add
2/4 + 3/4 = 5/4 or 1 1/4
A marketing research firm believes that more than half of adults drink mostly either regular or diet soda. To test this claim, Gallup took a nationally representative sample of 2027 adults and asked them about their soda consumption. The survey shows that 950 of those surveyed drink mostly either regular or diet soda. The test statistics for the above hypthesis test for the proportion of adults who drink mostly either regular or diet soda is:________. (Round your answer to two decimal places)
Answers
Answer:
The test statistic is z = -2.82.
Step-by-step explanation:
A marketing research firm believes that more than half of adults drink mostly either regular or diet soda.
This means that the null hypothesis is: [tex]H_{0} = 0.5[/tex]
The alternate hypothesis is: [tex]H_{a} > 0.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.5 tested at the null hypothesis:
This means that:
[tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]
Gallup took a nationally representative sample of 2027 adults and asked them about their soda consumption. The survey shows that 950 of those surveyed drink mostly either regular or diet soda.
This means that [tex]n = 2027, X = \frac{950}{2027} = 0.4687[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.4687 - 0.5}{\frac{0.5}{\sqrt{2027}}}[/tex]
[tex]z = -2.82[/tex]
The test statistic is z = -2.82.
Compare the fractions using the LCM.
3/5 and 1/4
Answers
Answer:
20
Step-by-step explanation: