Let [tex]y=ab^x,[/tex] as described in the problem statement. Plugging in [tex]x=2[/tex] and [tex]x=5[/tex] gives us the equations [tex]18=ab^2[/tex] and [tex]60.75=ab^5.[/tex] Since [tex]a,b[/tex] are nonzero, we divide the second equation by the first to get [tex]\frac{27}{8}=b^3,[/tex] which means that [tex]b=\frac{3}{2},[/tex] after taking the cube root. Plugging this value for [tex]b[/tex] into the first equation, we now have [tex]18=a(3/2)^2=\frac{9a}{4}.[/tex] Solving gives [tex]a=8,[/tex] and our desired exponential equation is [tex]\boxed{y=8\left(\frac{3}{2}\right)^x}.[/tex]
PLEASE HELP ?
Find the length of BC
A: 72
B: 54
C: 40.5
D: 108
Answer:
its 72
Step-by-step explanation:
i did itand it showed 72
Lili needs to buy colored pencils . She buys 1 red , 2 yellow and 2 blue pencils . In tatal , she will buy 25 colored pencils . How many yellow pencils will lili expect to buy ?
Answer:
1+2+2+20=25 yellow pencils
What is the area of trapezoid ABCD in square centimeters?
Answer:
99
Step-by-step explanation:
Area of trapezium = 1/2 × (sum of parallel sides × height)
The parallel sides of the trapezium are the left and right edge.
( 9 + 13) = 22
The height is the vertical distance between the parallel sides and when you turn the shape 90degrees towards the left, we would have the parallel sides been the bottom and top edge and the vertical height between will be 9
Hence the area = 1/2 × 22 × 9
= 11 ×9 = 99
You would add the unit if measure.
Which is greater: 5 yards or 150 inches?
Answer:
5 yards.
Step-by-step explanation:
5 yards = 180 inches
z\10 = -12 solve for z
Answer:
z=-120
Step-by-step explanation:
z\10 = -12
z=-12 x 10
z=-120
Answer:
120
Step-by-step explanation:
z divided by 10 is -12
z is equal to -12 times 10
z equals -120
omeone hacked into an employee's computer and erased all of their data. All data for the past three weeks was lost as that was when the employee last performed a backup. Which type of network is the company more than likely using?
Centralized
Client server
GUI
Peer-to-peer
Answer:
GUI
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Client Server
Two random samples of 30 individuals were selected. One sample participated in an activity which simulates hard work. The average breath rate of these individuals was 17 breaths per minute. The other sample did some normal walking. The mean breath rate of these individuals was 14. Find the 90% confidence interval of the difference in the breath rates if the population standard deviation was 4.2 for breath rate per minute.
Answer:
[tex] (17-14) -1.64 \sqrt{\frac{4.2^2}{30} +\frac{4.2^2}{30}}=1.222[/tex]
[tex] (17-14) +1.64 \sqrt{\frac{4.2^2}{30} +\frac{4.2^2}{30}}=4.778[/tex]
So then we can conclude at 90% of confidence that the difference in the two means is between 1.222 and 4.778 beats per minute
Step-by-step explanation:
For this case we have the following info given:
[tex] \bar X_1 = 17[/tex] sample mean for the first sample
[tex] \bar X_2 = 14[/tex] sample mean for the second sample
[tex]\sigma =4.2[/tex] represent the population deviation
[tex] n_1= n_2 =30[/tex] represent the sample size ofr each case
We can construct the confidence interval for the difference of means with the following formula:
[tex] (\bar X_1 -\bar X_2) \pm z_{\alpha/2} \sqrt{\frac{\sigma^2_1}{n_1} +\frac{\sigma^2_2}{n_2}}[/tex]
And the confidence for this case is 90% or 0.9 so then the significance level is [tex]\alpha=1-0.9=0.1[/tex] and [tex]\alpha/2 =0.05[/tex] the critical value for this case is:
[tex] z_{\alpha/2}=1.64[/tex]
And replacing we got:
[tex] (17-14) -1.64 \sqrt{\frac{4.2^2}{30} +\frac{4.2^2}{30}}=1.222[/tex]
[tex] (17-14) +1.64 \sqrt{\frac{4.2^2}{30} +\frac{4.2^2}{30}}=4.778[/tex]
So then we can conclude at 90% of confidence that the difference in the two means is between 1.222 and 4.778 beats per minute
What is a reasonable estimate for the limit of hhh at x=3x=3x, equals, 3?
Answer:
Limit does not exist.
Step-by-step explanation:
From the graph, notice that the limit does not exist, when you move to the right the limit tend to -3 and when you approach from the left your limit approaches 4, therefore since the right and left limit are not equal the limit does not exist.
An association between which ear is used for cell phone calls and whether the subject is left-handed or right-handed. The study is reported in "Hemispheric Dominance and Cell Phone Use," by Seidman et al., JAMA Otolaryngology—Head & Neck Surgery, Vol. 139, No. 5. The study began with a survey e-mailed to 5000 people belonging to an otology online group, and 717 surveys were returned. (Otology relates to the ear and hearing.)
Sampling Method
Assume that the population consists of all students currently in your statistics class. Describe how to obtain a sample of six students so that the result is a sample of the given type.
a. Simple random sample
b. Systematic sample
c. Stratified sample
d. Cluster sample
Answer:
Explained below.
Step-by-step explanation:
In this case we need to select a sample of 6 students from the entire statistics class.
(a)
A simple random sample is a part of a statistical population in which every individual of the population has an equal probability of being selected.
Assigning each individual of the population a unique number and using a computer or random number generator for selection is a procedure to select a simple random sample.
So, we can assign unique numbers to each student in the class and use a random number generator to select any six.
(b)
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.
For instance, consider a study where the researcher first selects a name randomly from the alphabetized order and then follow a fixed pattern of selecting every 10th person from the population.
Suppose there are n students in the class.
And the first student selected is the kth student. Then the remaining five can be selected in a equal interval of k students.
That is, the second student selected will be the 2kth student, the 3rd will be the 3kth, the 4th will be the 4kth, the 5th will be the 5kth and the 6th will be the 6kth.
The sample selected will be a systematic random sample.
(c)
Stratified sampling is a kind of sampling in which whole population is distributed into homogeneous subgroups before one takes a sample. These subgroups are called strata which is mutually exclusive or related.
In this process the population members cannot be excluded.
To select six students we first divide the entire class into 6 subgroups or 6 strata.
Then select one student from each group.
The sample selected will be a stratified random sample.
(d)
Cluster Sampling is a method to randomly select samples from a population that is too enormous for simple random sampling.
Using cluster sampling, the experimenter distributes the entire population into distinct groups, called clusters.
Then, a simple random sample of clusters is chosen from the population. Then the experimenter performs the analysis on data from the sampled clusters.
To select a cluster sample, first divided the entire class into various small groups consisting of 2 or 3 students each.
Then select a simple random sample of these groups to select 6 students.
The sample selected will be a cluster sample.
What is the volume of a cylinder, in cubic cm, with a height of 19cm and a base
diameter of 10cm? Round to the nearest tenths place.
Answer:
549.8 cm (cubed)
Step-by-step explanation:
D3lt4 m4th 4n$wer
Through how many radians does the minute hand of a clock turn in 24 minutes?
Answer:
4/5π
Step-by-step explanation:
30 minutes corresponds to π radians, so 24 minutes is ...
(24/30)π = 4/5π radians
I need help with this question, I attached a file, so it’s easier to read.
Hello there!
The median is the middle of the data set. Since we only have 7 numbers, we can arrange it from greatest to least, however the program has already done that. So, to find the median for this data set, all we have to do is simply find the middle number. The median would be 9 for this data set.
Answer:
9
Step-by-step explanation:
The median is the middle number of the set when ordered from least to greatest. We don't have to worry about that because it's already ordered like that. In this case, since there are 7 numbers, the median must be the 4th one, which is 9.
Order the following numbers from least to greatest
Please help me
Answer:
(5/4), (1.3), (1 8/25)
Step-by-step explanation:
5/4 as a decimal is 1.25
1.3 comes next
1 and 8/25 as a decimal is 1.32
1.25 < 1.3 < 1.32
Answer:
5/4 (1.25) , 1.3, 1 8/25 (0.32)
Step-by-step explanation:
The equation of the line that goes through the point ( 3 , 4 ) and is parallel to the line 3 x + 4 y = 2 can be written in the form y = m x + b
Answer:
y = -3/4x + 7/4
Step-by-step explanation:
For it to be parallel it needs the same slope. We can find this by putting the equation 3x + 4y = 2 into y = mx + b form and using the m.
3x+4y=2 can be written as y= -3/4x + 1/2
so the m for our new equation is -3/4
now to find b we just plug in the given point
y = -3/4x + b
4 = -3/4(3) + b
b = 4 + (-9/4)
b = 7/4 or b = 1.75
what is the volume please help.
Answer:
72 in³
Step-by-step explanation:
THe volume = area of the base × height
area of the base (trapezoid) = [(8×(12+6)]÷2 = 72
height = 1
then
the volume = ((8×(12+6))÷2)×1 = 72
Which of the following could be the equation of the function below?
On a coordinate plane, a curve crosses the y-axis at y = negative 3. It has a maximum at y = 1 and a minimum at y = negative 3. It goes through 1 cycle at pi.
y = negative 2 cosine (4 (x + pi)) minus 1
y = 2 cosine (x + pi) + 1
y = negative 2 cosine (2 (x + pi)) minus 1
y = 2 cosine (4 (x + pi)) + 2
Answer:
y = negative 2 cosine (2 (x + pi)) minus 1
Step-by-step explanation:
The amplitude of the trig function will be half the difference of the minimum and maximum, so is ...
A = (1 -(-3))/2 = 2
The coefficient of x is 2π divided by the period, so is ...
B = (2π)/π = 2
The vertical offset is the average of the maximum and minimum:
C = (1 +(-3))/2 = -1
Since the extreme negative value is at x=0, this can be the opposite of the cosine function:
y = -A·cos(Bx) +C
The answer choices have a horizontal offset of pi, which does nothing, since the period is pi.
y = -2cos(2(x+π)) -1
Answer:
C on E2020.
Step-by-step explanation:
help what are the answers im so stuck!
$75 to $25
7,500 people to 8,200 people
Last year, Sandro bought an ipod for $145. Now the price is $199. What is the percent of change?
The price of a share of stock was $97.50 on Monday. By Friday that same week, the price had decreased to $85.50. What was the percent of change
Answer:
see below
Step-by-step explanation:
A percentage change is computed as follows:
percent change = ((new value) -(original value))/(original value) × 100%
For your first one, this looks like ...
percent change = ($25 -$75)/$75 × 100% = (-50/75) × 100% = -0.667×100%
percent change = -66.7%
__
When there are a lot of similar calculations to do, I like to use a spreadsheet. See below for the other percentage changes (rightmost column).
Manuel was laying in the floor kitchen. The room measured 12 feet in length and 8 feet on width. What is the area of the kitchen floor.
Answer:
96 feet
Step-by-step explanation:
12 feet × 8 feet = 97 feet
find the output, g, when the input, r, is 4.
g = 25 - 3r
g = __
Answer:13
Step-by-step explanation:
g=25-3(4)
25-12
g=13
Hope this helps
Answer: g = 13
Step-by-step explanation:
g = 25 - 3r
g = 25 - 3(4)
g = 25 - 12
g = 13
If f(x) = 4x + 3 and g(x) = x - 9,
which statement is true?
Click on the correct answer.
2 is in the domain of fºg.
2 is not in the domain of fºg.
Answer:
2 isnt the domain
Step-by-step explanation:
Karen bought 4⁄5 pound of broccoli and 2⁄10 pound of cauliflower. How many more pounds of broccoli did she buy?
Answer:
6/10 or 3/5
Step-by-step explanation:
4/5 = 8/10
8/10 - 2/10 = 6/10 or 3/5
⅗ or 6/10
Step-by-step explanation:
4/5=8/10
8/10-2/10=6/10 or ⅗
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.)
Midpoint (-15,2) endpoint (-12,11)
What is the other endpoint?
Answer:
The other endpoint of the segment is [tex](-18,-7)[/tex].
Step-by-step explanation:
The midpoint of the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the following formula:
[tex](x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]
where [tex](x_m,y_m)[/tex] = coordinates of the midpoint.
We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:
[tex](-15,2)=(\frac{x_1-12}{2}, \frac{y_1+11}{2} )[/tex]
To find [tex]x_1[/tex] we need to solve this equation:
[tex]-15=\frac{x_1-12}{2} \\\\\frac{x_1-12}{2}=-15\\\\\frac{2\left(x_1-12\right)}{2}=2\left(-15\right)\\\\x_1-12=-30\\\\x_1-12+12=-30+12\\\\x_1=-18[/tex]
and to find [tex]y_1[/tex] we need to solve this equation:
[tex]2= \frac{y_1+11}{2} \\\\\frac{y_1+11}{2}=2\\\\\frac{2\left(y_1+11\right)}{2}=2\cdot \:2\\\\y_1+11=4\\\\y_1=-7[/tex]
The other endpoint of the segment is [tex](x_1,y_1)=(-18,-7)[/tex].
I’m thinking of an integer. Half of this integer is 3 more than one third of the next integer. What is the integer?""
Answer:
I think its 6
Step-by-step explanation:
half of 6 is 3
A basketball player attempts eight free throws. Each attempt results in a score or a miss. Find the number of possible outcomes.
Answer:
9
Step-by-step explanation:
For one throw the probability of a miss is 1/2 since there are just two outcomes
Similarly for one throw the probability of a score is 1/2 since there are two outcomes.
Therefore for 8 trials we expect at least for different trials starting from 1
8 miss 0 score
7 miss 1 score
6 miss 2 score
5 miss 3 score
4 miss 4 score
3 miss 5 score
2 miss 6 score
1 miss 7 score
0 miss 8 score
So the number of possible outcomes is 9
And this define by what we call the binomial probability and is defined as
8/9 Divided by 6/9 = ?
A. 17/54
B. 16/27
C. 4/3
D. 24/5
Answer:
4/3
Step-by-step explanation:
[tex] \frac{8}{9} \div \frac{6}{9} \\ \\ \implies \: \frac{8}{9} \times \frac{9}{6} \\ \\ \implies \: \frac{8}{1} \times \frac{1}{6} \\ \\ \implies \: {\boxed {\purple{\frac{4}{3} }}}[/tex]
the expression that represents the following statement: add 24 to the quotient of 16 and 8.
Answer:
26
Step-by-step explanation:
The quotient of 16 and 8 = 16/8 = 2
24 + 2 = 26
Answer:
16/8 +24
Step-by-step explanation:
The quotient of 16 and 8 is written as ...
16/8
If we start with this as the first element of the sum then the sum that represents 24 added to this is ...
16/8 +24
Which of these statements describes scarcity? A. It is a situation in which people cannot pay for goods and services. B. It is an economic situation where the government has to import items. C. It is the difference between limited resources and wants and needs. Reset N
Answer:
C -- It is the difference between limited resources and wants and needs.
Step-by-step explanation:
I've done a lesson on scarcity before.
Plz click the Thanks button!
<Jayla>
It is the difference between limited resources and wants and needs. Reset N.
What is Government?A government is the system or group of people governing an organized community, generally a state.
Scarcity "refers to the basic fact of life that there exists only a finite amount of human and nonhuman resources which the best technical knowledge is capable of using to produce only limited maximum amounts of each economic good.
In the given statements.
A. It is a situation in which people cannot pay for goods and services.
B. It is an economic situation where the government has to import items. C. It is the difference between limited resources and wants and needs. Reset N
C describes scarcity.
Hence, It is the difference between limited resources and wants and needs. Reset N.
To learn more on Government click:
https://brainly.com/question/16940043
#SPJ2
PLEASE HELP ???
????
Answer:
Option (3)
Step-by-step explanation:
From the given figure,
Two triangles ΔABC and ΔDEF are similar.
ΔABC ~ ΔDEF
By the definition of similarity of two triangles, corresponding sides of the similar triangles are in the same ratio.
[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]
Now from this relation,
[tex]\frac{BC}{EF}=\frac{AC}{DF}[/tex]
[tex]\frac{DF}{EF}=\frac{AC}{BC}[/tex]
Therefore, Option (3) will be the correct proportionality statement.
The authors of the paper "Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement"† compared two different instruments for measuring a person's ability to breathe out air. (This measurement is helpful in diagnosing various lung disorders.) The two instruments considered were a Wright peak flow meter and a mini-Wright peak flow meter. Seventeen people participated in the study, and for each person air flow was measured once using the Wright meter and once using the mini-Wright meter.
Subject Mini-Weight Meter Weight Meter
1 512 494
2 430 395
3 520 516
4 428 434
5 500 476
6 600 557
7 364 413
8 380 442
9 658 650
10 445 433
11 432 417
12 626 656
13 260 267
14 477 478
15 259 178
16 350 423
17 451 427
(a) Suppose that the Wright meter is considered to provide a better measure of air flow, but the mini-Wright meter is easier to transport and to use. If the two types of meters produce different readings but there is a strong relationship between the readings, it would be possible to use a reading from the mini-Wright meter to predict the reading that the larger Wright meter would have given. Use the given data to find an equation to predict Wright meter reading using a reading from the mini-Wright meter. (Round your values to three decimal places.)
Answer:
Step-by-step explanation:
Given data;
n = 17
[tex]\sum x =7692[/tex]
[tex]\sum x^2=3685124[/tex]
[tex]\sum y =7656\\\\ \sum xy=3662682[/tex]
Slope:
[tex]\hat B_1=\frac{n \sum xy - \sum x \sum y}{n \sum x^2 - ( \sum x)^2} \\\\=0.96994[/tex]
≅ 0.970
y - intercept :
[tex]\hat B_0 = \frac{\sum y}{n} - \hat B\frac{\sum x}{n} \\\\=11.48178[/tex]
≅ 11.482
a)
Equation :
[tex]\hat y = 11.482+0.970x[/tex]
b)
Predicted wright meter reading
[tex]\hat y = 11.48178+0.96994(563)\\\\=557.558[/tex]
c)Predicted wright meter reading
[tex]\hat y = 11.48178+0.96994(342)\\\\= 343.201[/tex]
For a large supermarket chain in a particularâ state, aâ women's group claimed that female employees were passed over for management training in favor of their male colleagues. The company denied thisâ claim, saying it picked the employees from the eligible pool at random to receive this training.â Statewide, the large pool of more than 100 eligible employees who can be tapped for management training is 40â% female and 60â% male. Since this programâ began, 35 of the 50 employees chosen for management training were male and 15 were female.
Complete parts (a) and (b).
(a) Is there sufficient evidence to support the women's claim?
(b) Compute a 95% confidence interval and write your conclusions.
Answer:
1) As the P-value (0.097) is greater than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the women's claim that female employees were passed over for management training in favor of their male colleagues.
2) The 95% confidence interval for the population proportion is (0.173, 0.427).
The populations proportion (π=0.4) is included in this confidence interval, so the claim has no enough evidence to be supported.
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that female employees were passed over for management training in favor of their male colleagues.
We use the women's part for sample and population proportions.
Then, the null and alternative hypothesis are:
[tex]H_0: \pi=0.4\\\\H_a:\pi<0.4[/tex]
The significance level is 0.05.
The sample has a size n=50 persons.
The sample proportion is p=0.3.
[tex]p=X/n=15/50=0.3[/tex]
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.4*0.6}{50}}\\\\\\ \sigma_p=\sqrt{0.0048}=0.069[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.3-0.4+0.5/50}{0.069}=\dfrac{-0.09}{0.069}=-1.299[/tex]
This test is a left-tailed test, so the P-value for this test is calculated as:
[tex]\text{P-value}=P(z<-1.299)=0.097[/tex]
As the P-value (0.097) is greater than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that female employees were passed over for management training in favor of their male colleagues.
b) We have to calculate a 95% confidence interval for the proportion.
The sample proportion is p=0.3.
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.3*0.7}{50}}\\\\\\ \sigma_p=\sqrt{0.0042}=0.0648[/tex]
The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:
[tex]MOE=z\cdot \sigma_p=1.96 \cdot 0.0648=0.127[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=p-z \cdot \sigma_p = 0.3-0.127=0.173\\\\UL=p+z \cdot \sigma_p = 0.3+0.127=0.427[/tex]
The 95% confidence interval for the population proportion is (0.173, 0.427).
The populations proportion (π=0.4) is included in this confidence interval, so the claim has no enough evidence to be supported.