Answer:560
Step-by-step explanation:
Let a be the number of students the school have last year
135% of a=756
135/100 x a=756
135a/100=756
Cross multiplying we get
135a=756 x100
135a=75600
Divide both sides by 135
135a/135=75600/135
a=560
A police officer is concerned about speeds on a certain section of Interstate 95. The data accompanying this exercise show the speeds of 40 cars on a Saturday afternoon. Click here for the Excel Data File Click here for the CSV Data File a. The speed limit on this portion of Interstate 95 is 64 mph. Specify the competing hypotheses in order to determine if the average speed is greater than the speed limit.
Answer:
Jo : μ ≤ 64.
Jo : μ > 64.
Step-by-step explanation:
From the question, the Important information to solve this question is that; ''the speed limit on this portion of Interstate 95 is 64 mph''.
The question wants us to find the fact that the average speed is greater or more than the speed limit.
Therefore, In order to solve this question, the formula to use is the ''null and alternative" hypothesis. It states that;
Jo : μ ≤ 64.
Jo : μ > 64.
The above expression is the competing hypotheses in order to determine if the average speed is greater than the speed limit.
A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and voting rights. There are 9 faculty members and 10 students eligible to serve on the committee. In how many ways can the committee be formed
Answer:
The committee can be formed in 31,752 ways.
Step-by-step explanation:
Every committee position has the same duties and voting rights. This means that the order in which the members are chosen is not important to solve this question. So the combinations formula is used.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In how many ways can the committee be formed
4 faculty members from a set of 9
5 students from a set of 10.
Then
[tex]T = C_{9,4} \times C_{10,5} = \frac{9!}{4!(9-4)!} \times \frac{10!}{5!(10-5)!} = 31752[/tex]
The committee can be formed in 31,752 ways.
a box contains 8 red balls, 5 brown balls, 4 purple balls, and 3 green balls. what is the probability that a purple ball will be selected from the box after a red ball is taken out and not replaced?
Write the probability as a percent. Round to the nearest tenth of a percent as needed.
4. The null hypothesis for the chi-square goodness-of-fit test states that the distribution of A. cases for each group is equal to the expected distribution based on theory/knowledge of the population. B. sample means is equal to expectation based on the expected frequency. C. sample means for each group is equal. D. the sample means is equal to the expected distribution based on theory/knowledge of the population.
Answer:
D. the sample means is equal to the expected distribution based on theory/knowledge of the population.
Step-by-step explanation:
The Chi square goodness-of-fit test is used in statistical analysis to determine if the observed value in a collection of data, is significantly different from the expected value. Theoretical distribution which could be classified as normal, binomial, or poisson, are compared against the empirical distribution.To run a chi square goodness-of-fit test, we first formulate the null and alternate hypothesis. The degrees of freedom are then observed from the data given and the hypothesis is tested.
The null hypothesis assumes that the observed frequencies are equal to the expected frequencies. If there is a considerable difference, then the null hypothesis is rejected.
someone help me please
Answer:
2.5 or 5/2
Step-by-step explanation:
The formula for the area of a triangle is \dfrac{bh}{2}, where b represents the length of the base and h represents the length of the height. With this in mind, you can set up the following equation:
[tex]\dfrac{15}{8}=\dfrac{1.5b}{2}[/tex]
[tex]\dfrac{15}{4}=1.5b[/tex]
b=2.5 or [tex]\frac{5}{2}[/tex]
Hope this helps!
Tanya has captured many purple-footed bog frogs. She weighs each one and
then counts the number of yellow spots on its back. This trend line is a
fit for these data.
Answer:it’s strong the person under me is slow
Step-by-step explanation: cause I said so
Find the value of g(7) for the function below. g(x)= 7/8x -1/2
g(x) = ⅞x - ½
g(7) = ⅞(7) - ½
= 49/8 - ½
= 49/8 - 4/8
= 45/8
= 5 ⅝
So, the value of g(7) for that function is 5 ⅝
Hope it helpful and useful :)
The value of the given function for g(7) is 45/8.
The given function is [tex]g(x)=\frac{7}{8}x-\frac{1}{2}[/tex].
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
We need to find the value of g(7)
Substitute x=7 in the given function and simplify, we get
[tex]g(7)=\frac{7}{8}(7)-\frac{1}{2}[/tex]
= 49/8 - 1/2
= 49/8 - 4/8
= 45/8
Hence, the value of the given function for g(7) is 45/8.
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HELP ME PLEASE, it’s confusing
The number at the end of the equation shifts the graph up or down.
Changing the 1/2 to a -2 would shift the graph down which would change the y-intercept.
The answer is D.
Shring's dining room table is round
and has a radius of 45 feet What is
the tabletop's area?
Answer:
it is 6,358.2. hope this helps
Lauren plans to deposit $6000 into a bank account at the beginning of next month and $225/month into the same account at the end of that month and at the end of each subsequent month for the next 4 years. If her bank pays interest at a rate of 3%/year compounded monthly, how much will Lauren have in her account at the end of 4 years?
Answer:
$18206.5
Step-by-step explanation:
Considering, r = interest rate
n = number of intervals
t = duration of the payment
A = monthly installment
PV = Present Value
FV = Final Value
Using the formula
FV=PV (1+ r/n[tex])^{nt-1[/tex] + a((1+ r/n[tex])^{nt[/tex]-1/[tex]\frac{r}{n}[/tex])
FV=6000[tex](1+ \frac{0.03}{12} )^{(12)(4)-1} +225\frac{(1+0.03/12)^{(12)(4)}-1 )}{0.03/12}[/tex]
FV= 6747 + 11459.5
FV=18206.5
Her balance in 4 years is $18206.5
A dietitian wants to know the average time spent on breakfast in a primary school. The dietitian randomly samples 16 students and finds that the average is 15.8 minutes with a standard deviation of 2.31 minutes. Assume that the distribution of the time spent on the breakfast is normally distributed. The dietitian finds a 90% confidence interval for this sample is (14.788, 16.812) Flag question Select one or more:_________. a. The margin of error is 1.012. b. The margin of error is 2.024 c. The margin of error is 0.950 d. We believe that the true mean time spent on breakfast in this primary school is between 14.788 and 16.812 minutes. e. If we take many other samples from this population, 90% of them will have a sample mean that is between 14.788 and 16.812. f. There is a 90% chance that the true mean is between 14.788 and 16.812 minutes.
Answer: is their any picture? or an example?
Compute: 3:40 - 1:55
Answer:
0 days 3 hours 40 minutes 0 seconds
- 0 days 1 hours 55 minutes 0 seconds
= 0 days 1 hours 45 minutes 0 seconds
= 0.0729167 days
= 1.75 hours
= 105 minutes
= 6,300 seconds
Step-by-step explanation:
Final answer:
To calculate the difference between given times, convert them into minutes and subtract. The result will be the time difference in minutes.
Explanation:
Compute: 3:40 - 1:55
To compute the difference between 3:40 and 1:55, you need to subtract the two times. First, convert both times into minutes: 3:40 = 3 x 60 + 40 = 180 + 40 = 220 minutes, and 1:55 = 1 x 60 + 55 = 60 + 55 = 115 minutes. Then, subtract 115 from 220 to get the result.
The difference between 3:40 and 1:55 is 105 minutes.
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with mu equalsμ=522522. The teacher obtains a random sample of 20002000 students, puts them through the review class, and finds that the mean math score of the 20002000 students is 527527 with a standard deviation of 110110. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let muμ be the mean score. Choose the correct answer below. A. Upper H 0 : mu equals 522H0: μ=522, Upper H 1 : mu not equals 522H1: μ≠522 B. Upper H 0 : mu less than 522H0: μ<522, Upper H 1 : mu greater than 522H1: μ>522 C. Upper H 0 : mu greater than 522H0: μ>522, Upper H 1 : mu not equals 522H1: μ≠522 D. Upper H 0 : mu equals 522H0: μ=522, Upper H 1 : mu greater than 522
Answer: D
H0: μ=522
H1: μ>522
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
So, for this case;
The null hypothesis is that the mean score equals to 522
H0: μ=522
The alternative hypothesis is that the mean score is greater than 522.
H1: μ>522
The correct answer is D. [tex]Upper H_0: = 522, Upper H_1 > 522[/tex].
In this scenario, the math teacher is claiming that her review course increases the scores of students on the math portion of a college entrance exam. Therefore, the null hypothesis [tex](H_0)[/tex] should represent the claim that there is no increase in the mean score, which would be that the mean score is equal to the population mean of 522. The alternative hypothesis [tex](H_1)[/tex] should represent the teacher's claim that the mean score has increased, which would be that the mean score is greater than 522.The null hypothesis is a statement of no effect or no difference and serves as the baseline for testing. The alternative hypothesis is what we aim to support; it is a statement that there is an effect or a difference. In this case, we are testing whether the mean score of students after taking the review course is greater than the population mean.Therefore, the correct hypotheses are:- Null Hypothesis [tex](H_0): = 522[/tex] , indicating no increase in the mean score.- Alternative Hypothesis [tex](H_1): > 522[/tex] , indicating an increase in the mean score.This is a one-tailed test because we are only interested in whether the mean score has increased, not whether it has changed at all (which would require a two-tailed test).
Use the complement to find the probability. Enter your answer in simplified fraction form.
A spinner has 3 equal sections that are white, green, and blue. What is the probability of not landing on blue?
The probability of not landing on blue is
A manufacturer of t-shirts marks a shirt as "irregular" when it has defects such as crooked seams, stains, rips, or holes. A small number of irregular t-shirts are expected as part of the manufacturing process, but if more than 8% of the t-shirts manufactured at a plant are classified as irregular, the manager has to do an investigation to try to find the source of the increased mistakes in the manufacturing process. In order to test whether his plant is making a higher than expected number of irregular t-shirts, the manager of a plant randomly selects 100 t-shirts and finds that 12 are irregular. He plans to test the hypothesis: H0, P = 0.08, versus Ha, p > 0.08 (where p is the true proportion of irregular t-shirts). What is the test statistic
Answer:
The test statistic value is 1.474.
Step-by-step explanation:
In this case we need to determine whether the plant is making a higher than expected number of irregular t-shirts.
If more than 8% of the t-shirts manufactured at a plant are classified as irregular, the manager has to do an investigation to try to find the source of the increased mistakes in the manufacturing process..
The hypothesis for this test can be defined as follows:
H₀: The proportion of irregular t-shirts is 8%, i.e. p = 0.08.
Hₐ: The proportion of irregular t-shirts is more than 8%, i.e. p > 0.08.
The information provided is:
n = 100
X = number of irregular t-shirts = 12
Compute the sample proportion as follows:
[tex]\hat p=\frac{X}{n}=\frac{12}{100}=0.12[/tex]
Compute the test statistic as follows:
[tex]t=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]=\frac{0.12-0.08}{\sqrt{\frac{0.08(1-0.08)}{100}}}\\\\=1.47441\\\\\approx 1.474[/tex]
Thus, the test statistic value is 1.474.
find the amount each contestant would carry if the total amount carried (5 cups) was redistributed equally among all the contestants.
Complete Question
The line plot shows the amount of green ooze (in cup) carried by ten contestants. Find the amount each contestant would carry if the total amount carried (5 cups) was redistributed equally among all the contestants.
Answer:
1/2 Cup
Step-by-step explanation:
This is a Line Plot in which:
1/4 had two Xs3/8 had two Xs1/2 had two Xs5/8 had three Xs7/8 had one XsTotal
[tex]=(\frac{1}{4}X2) +(\frac{3}{8}X2) +(\frac{1}{2}X2) +(\frac{5}{8}X3) +(\frac{7}{8}X1) \\\\=\frac{2}{4} +\frac{6}{8} +1 +\frac{15}{8} +\frac{7}{8}\\\\$=5 Cups[/tex]
If this amount was redistributed equally among the ten contestants:
Each contestant would carry (5/10) cups =1/2 cup.
The net below represent a container. What solid figure does it show?
How many vertices does the container have?
The solid figure that is shown by the net would be a Rectangular prism.
The number of vertices would be 8 vertices.
How to describe a rectangular prism?A rectangular prism is a 3D shape with six faces, eight vertices, and twelve edges. It is a type of polyhedron, which is a solid figure with flat faces and straight edges.
The net given is a rectangular prism because the dashed lines show that the sides would fold up along with the triangles to form a rectangular prism.
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What is the mean of 3, 2, 26, 9
Answer:
10
Step-by-step explanation:
3+2=5+26=31+9=40/4=10
Step-by-step explanation:
When finding mean, you have to add up all of the number and divide that answer by the number of numbers used.
3 + 2 + 26 + 9 = 40
Now, we will divide 40 by 4 because there are 4 numbers.
40 / 4 = 10
So, the mean of the set is 10.
Bridget has swimming lessons every fifth day and diving lessons every third day. If she had a swimming lesson and a diving lesson on May 5, when will be the next date on which she has both swimming and diving lessons?
Answer:
The 20th of May
Step-by-step explanation:
I made a chart like a calendar and started on the 5th of may and counted every 5 days for the swimming lessons and every 3 days. Then I saw when she had both swimming and driving lessons and the first time after the 5th is the 20th.
Answer:
Bridget will have both swimming and diving lessons on the 15th.
a) Spouses are asked about the number of hours of sleep they get each night. Upper A researcher wants to see if husbands get more sleep than wives. Choose the correct answer below. A. This scenario should not be analyzed using paired data because the groups are dependent but do not have a natural pairing. B. This scenario should not be analyzed using paired data because the groups are independent and do not have a natural pairing. C. This scenario should not be analyzed using paired data because the groups have a natural pairing but are independent. D. This scenario should be analyzed using paired data because the groups are dependent and have a natural pairing.
Answer:
D. This scenario should be analysed using paired data because the groups are dependent and have a natural pairing.
Step-by-step explanation:
Paired Data can be defined as data set, when sample units of one data set are related to sample units in other data set.
Research Study about spouses number of hours of sleep each night is paired data. As, each man in the male sample group is related to a corresponding woman (his wife) in the female sample group. So, they have a natural paring & they, their sleep schedules are dependent on each other.
Based on the information given, this scenario should be analyzed using paired data because the groups are dependent and have a natural pairing.
It should be noted that paired data is when sample units of one data set are related to sample units in another data set.Based on the information given, the case should be analyzed using paired data because the groups are dependent and have a natural pairing.In conclusion, the correct option is D.
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Inclusive of a 7.6% sales tax, a diamond ring sold for $1721.60. Find the price of the ring before the tax was
added (Round to the nearest cent, if necessary)
Answer:
$159075.84
Step-by-step explanation:
100-7.6=92.4
1721.60*92.4=$159075.84
A researcher wanted to test his claim that the mean walking pace of business
travelers is different from that of leisure travelers at the airport. To test his claim he
obtained the following lists of 9 business and 8 leisure travelers. Test his claim at the
.05 = level of significance.
Business
Travelers
42 31 37 45 49 52 43 39 45
Leisure
Travelers
32 29 35 40 38 34 42 33
Answer:
[tex] t = \frac{42.56-35.375}{\sqrt{\frac{6.327^2}{9} +\frac{4.34^2}{8}}}=2.755[/tex]
The degrees of freedom are given by:
[tex] df=n_1 +n_2-2 =9+8-2= 15[/tex]
Since we have a two tailed test the p value can be calculated like this:
[tex] p_v=2* P(t_{15} >2.755) = 0.0147[/tex]
And since the p value is lower than the significance lvel given of 0.05 we have enough evidence to conclude that we have significant differences between the two groups on this case.
Step-by-step explanation:
We have the following data given:
Business Travelers
42 31 37 45 49 52 43 39 45
Leisure Travelers
32 29 35 40 38 34 42 33
For this case we need to begin finding the sample mean and deviations for each group with the following formulas:
[tex]\bar X =\frac{\sum_{i=1}^n X_i}{n}[/tex]
[tex] s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]
And we got:
[tex] \bar X_1 = 42.56[/tex] represent the sample mean for the Business travelers
[tex]s_1 = 6.327[/tex] represent the sample deviation for the Business travelers
[tex]n_1= 9[/tex] the sample size for the Business travelers
[tex] \bar X_2 = 35.375[/tex] represent the sample mean for the Leisure travelers
[tex]s_2 =4.34[/tex] represent the sample deviation for the Leisure travelers
[tex]n_2= 8[/tex] the sample size for the Leisure travelers
The system of hypothesis for this case are:
Null hypothesis: [tex] \mu_1 =\mu_2[/tex]
Alternative hypothesis: [tex] \mu_1 \neq \mu_2[/tex]
The statistic for this case is given by:
[tex] t =\frac{\bar X_1 -\bar X_2}{\sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}}[/tex]
And replacing we got:
[tex] t = \frac{42.56-35.375}{\sqrt{\frac{6.327^2}{9} +\frac{4.34^2}{8}}}=2.755[/tex]
The degrees of freedom are given by:
[tex] df=n_1 +n_2-2 =9+8-2= 15[/tex]
Since we have a two tailed test the p value can be calculated like this:
[tex] p_v= 2*P(t_{15} >2.755) = 0.0147[/tex]
And since the p value is lower than the significance lvel given of 0.05 we have enough evidence to conclude that we have significant differences between the two groups on this case.
A six sided number cube has
one number, from 1 through 6,
on each cube. Determine the
probability of the following:
Pleven #)
7.SP.5
Answer:
Probability of even = 0.5
Step-by-step explanation:
Probability of even = total number of even numbers/ total number
Total number of Eve number = [ 2,4,6] = 3
Total numbers = [ 1,2,3,4,5,6] = 6
Probability of even = 3/6
Probability of even = 1/2
Probability of even = 0.5
A major retail clothing store is interested in estimating the difference in mean monthly purchases by customers who use the store's in-house credit card versus using a Visa, Mastercard, or one of the other major credit cards. To do this, it has randomly selected a sample of customers who have made one or more purchases with each of the types of credit cards. The following represents the results of the sampling. In-House Credit Card National Credit Card Sample Size: 86 113 Mean Monthly Purchases: $45.67 $39.87 Standard Deviation: $10.90 $12.47 Suppose that the managers wished to test whether there is a statistical difference in the mean monthly purchases by customers using the two types of credit cards, using a significance level of 0.05, what is the value of the test statistic assuming the standard deviations are known? Round to two decimal places.
Students in a statistics class are conducting a survey to estimate the mean number of hours each week that students at their college study. The students collect a random sample of 49 students. The mean of the sample is 12.2 hours. The standard deviation is 1.6 hours. Use the T-distribution Inverse Calculator applet to answer the following question. What is the 95% confidence interval for the number of hours students in their college study?
The 95% confidence interval for the number of hours students at the college study weekly, given a sample size of 49, mean of 12.2 hours, and standard deviation of 1.6, is from 11.62 hours to 12.78 hours.
Explanation:In statistics, the 95% confidence interval for the mean number of hours students study in a week can be calculated using the collected data and the t-distribution. Given that the sample size is 49 (n=49), the sample mean(x) is 12.2 hours, and the standard deviation(s) is 1.6 hours, we need to apply the formula for the confidence interval which is x ± t∗(s/√n). The t-value for 95% confidence with 48 degrees of freedom (49-1) can be found using the t-distribution Inverse Calculator applet, which is about 2.01 (it varies slightly depending on the calculator used).
Now, plug in the given values into the formula: 12.2 ± 2.01 * (1.6 / √49), it simplifies to 12.2 ± 0.58. So, the 95% confidence interval for the number of hours students in the college study each week is from 11.62 hours to 12.78 hours.
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3x^2 + 18x + 27 = 0 can you solve for x
Answer:
3x^2 + 18x + 27 = 0
<=> 3(x^2 + 6x + 9) = 0
<=> 3(x + 3)^2 = 0
<=> x = -3
Hope this helps!
:)
3. Erin's soccer team has won 17 of
their 20 games this season. What is
the probability that they will win their
next game?
Answer:
They have a 85% chance of winning their next game.
Step-by-step explanation:
100÷20 = 5
17×5=85
So, they have a 85% chance of winning their next game.
Hope This helped!!!!! :)
Jane wants to buy a movie that costs $15.49. She has $8.75. How much more money does Jane need to buy the movie?
Answer:
$6.74
Step-by-step explanation:
Subtract 15.49 and 8.75
Answer: 6.74.
Step-by-step explanation: I took the quiz before!
Hope this helps! (✪ ω ✪)
5. Melanie scored 20/25 on her quiz. What percent is this equal to? *
Answer:
0.8 or 80%
Step-by-step explanation:
To easily find percents, divide the numerator with the denominator. Or, first you can simplify the fraction first.
20/25 can be divided by 5. Which is 4/5.
4/5=0.8
So, the answer is 80%
Answer:
80%
Step-by-step explanation:
[tex]\frac{20}{25} = \frac{4}{5}[/tex]
To find the percentage, multiply by 100:
[tex]\frac{4}{5} * 100 = 80[/tex]
kevin started his new job with a salaryof $26,550. every year, he recieves a 3.1% increase in his salary. write and use a continuous exponential growth to find his salary after 20 years?
its $48892.00
Answer:
His salary after 20 years is $48892
Step-by-step explanation:
Kevin started his new job with a salary of $26,550.
We are also given that every year, he receives a 3.1% increase in his salary
So, rate of increase = 3.1%
Formula : [tex]y(t)=y_0(1+r)^t[/tex]
Where y(t)= Amount after t years
[tex]y_0[/tex] = initial amount = 26550
r = rate of increase in decimals = [tex]\frac{3.1}{100}[/tex]
t = time =20
we are supposed to find his salary after 20 years
Substitute the values in the formula :
Salary after 20 years = [tex]26500(1+\frac{3.1}{100})^{20}=48892.00[/tex]
Hence His salary after 20 years is $48892