Answer:
There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet (P-value = 0.15).
Step-by-step explanation:
This is a hypothesis test for the difference between populations means.
The claim is that the liquid diet yields a higher mean weight loss than the powder diet.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2< 0[/tex]
The significance level is 0.05.
The sample 1 (powder diet group), of size n1=49 has a mean of 42 and a standard deviation of 12.
The sample 2 (liquid diet group), of size n2=36 has a mean of 45 and a standard deviation of 14.
The difference between sample means is Md=-3.
[tex]M_d=M_1-M_2=42-45=-3[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12^2}{49}+\dfrac{14^2}{36}}\\\\\\s_{M_d}=\sqrt{2.939+5.444}=\sqrt{8.383}=2.895[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-3-0}{2.895}=\dfrac{-3}{2.895}=-1.04[/tex]
The degrees of freedom for this test are:
[tex]df=n_1+n_2-1=49+36-2=83[/tex]
This test is a left-tailed test, with 83 degrees of freedom and t=-1.04, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=P(t<-1.04)=0.15[/tex]
As the P-value (0.15) 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 the liquid diet yields a higher mean weight loss than the powder diet.
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
90 Pounds =
40,823.313 Grams
Step-by-step explanation:
The mean age of 5 people in a room is 28 years.
A person enters the room.
The mean age is now 29.
What is the age of the person who entered the room?
...
Answer:
174
Step-by-step explanation:
You should look at the mean and do this:
5*28 so now you know all the ages which is 140 now you do 140/29 and you get 4.8....... so you can see that the answer is 174
In a system of equations, WHAT
lines would have the same slope and thus there would be no solution for the system.
Answer:
Parallel Lines: If the two linear equations have the same slope (and different y-intercepts), the lines will be parallel. Since parallel lines never intersect, a system composed of two parallel lines will have NO solution (no intersection of the lines.)
Step-by-step explanation:
A student in a wildlife biology class wants to determine the abundance of a rodent species in a local nature preserve, divided into smaller blocks. She is concerned that she only has a modest number of traps and time to do the project, and wants to select the most appropriate sampling or experimental study design.
1. Which one of the following is most appropriate for this study?
Group of answer choices:
a. Natural experiment (observational study)
b. Stratified sampling
c. Cluster sampling
d. Systematic sampling
Answer:
c. Cluster sampling
Step-by-step explanation:
Taking into account that the exercise researcher is looking with limited resources to study a population that is divided, her best option is cluster sampling, which is a method applicable to this type of population, we could select in each group randomly her sample, the observational study is discarded because she does not have much availability of time or resources, nor would the stratified study be useful because she should select subgroups and create them to take samples and this would take more time and resources and sampling systematic is not adequate because it must have all the individuals and after having the list select the sample, but as we know, it is a process that will study the number of individuals so this option is not feasible.
Answer:
Cluster sampling
Step-by-step explanation:
Cluster sampling is almost always more economical or more practical than stratified sampling or simple random sampling as it reduces costs by increasing sampling efficiency. Due to the fact that she has limited resources, this method is better to observe clusters of units in a population than randomly selected distributed in the local nature preserve and this method is more economical and quick.
Hi! can anyone help me please, I dont even know where to start.
if Carlos has 42 books he wants to store on shelves. Each book is
1 3/4 inches thick. He can buy 3-foot-long shelves for $27.99 each.
How much will it cost to shelve the books?
Answer:
$83.97
Step-by-step explanation:
Let's find the total thickness of all 42 books first. To do this, we do 42 * 1.75 = 73.5 inches. We know that each shelf is 3 feet long, but we want to convert to the same unit so that it's easier to calculate, so each shelf is 3 * 12 = 36 inches long. Now, to find the number of shelves needed, we'll do total thickness/length of each shelf which is 73.5 / 36, or 2.04. Our answer has to be an integer (because you can't have half of a shelf), so do we round up or down? Well, if we rounded down, then there wouldn't be enough room for all the books, so we round up to 3 shelves instead. Because each shelf is $27.99, the price for 3 will be 27.99 * 3 = $83.97. Hope this helps!
Lauren made a large compost bin in her back yard. What is the volume of the compost
bin?
The correct answer is 1365 ft
Explanation:
The volume refers to the space a body occupies, in the case of the bin made by Lauren this is composed of two rectangular prisms (one in the front and one in the back). Additionally, the volume of each prism can be calculated by multiplying the height, length, and width this means Volume= H x L x W.
According to this, the volume of the front rectangular prism is 735 considering 7ft (H) x 21ft (L) x 5ft (W) = 735 and the volume of the rectangular prism in the back is 630 considering the height of this is 3ft more than the one in the front this means the heigh is 10ft and 10ft (H) x 21ft (L) x 3ft (W) = 630. Finally, it is necessary to add the two volumes to find the total volume, thus 630+ 735 is equivalent to 1365 ft, which is the volume of all the bin.
Answer:
1365
Step-by-step explanation:
What is the equation for density? D = d = m over v. D = d = v over m. D = d = m over v squared. D = d = one-half m v squared.mv2
Answer:
d = m / v.
Step-by-step explanation:
The density is a measure of the specific weight of a substance or object.
This is, the mass per unit of volume. Then, the average density is the ratio of the mass of a body to the volume it occupies in space:
The equation for density is:
[tex]\bar d=\dfrac{m}{V}[/tex]
being m the total mass in the volume, and V the volume.
Answer:
A
Step-by-step explanation:
The equation is density equal s mass divided by volume or D = M/V
1) What is the median score on the exam? A) 70 B) 75 C) 77.5 D) 85
Answer:
a) 70
Step-by-step explanation:
because it is a C, so it is the median score
Answer:
THere is no PICTURE
thank you :)
Step-by-step explanation:
6th grade math help :D..
Answer:
1. A
Because 0.08*24= $1.92
2. C
Because 0.09*15=$1.35
Answer:
1.A
2.C
Step-by-step explanation:
Jessica has 4/8 of a bottle of Robitussin syrup on hand. The pharmacist instructs Jessica to reduce the syrup by 1/2 so he can prepare a patient’s prescription. How much Robitussin does the pharmacist need to prepare the prescription?
Answer:
0
Step-by-step explanation:
First, in order to subtract these fractions, we need the denominators to be the same number.
4/8 x 2 = 8/16
1/2 x 8 = 8/16
8/16 - 8/16 = 0. The doctor does not need any Robitussin at all
A classroom has 28 students, 11 of these students are boys. If a student is randomly
chosen, what's the probability that the student will be a girl? Round
Answer:
Probability that student will be a girl = 17 / 28
Step-by-step explanation:
Given:
Total number of student = 28 student
Number of boys in the class = 11
Find:
Probability that student will be a girl = ?
Computation:
⇒ Number of girls in class = Total number of student - Number of boys in the class
⇒ Number of girls in class = 28 - 11
⇒ Number of girls in class = 17
⇒ Probability that student will be a girl = Number of girls in class / Total number of student
⇒ Probability that student will be a girl = 17 / 28
What’s the correct answer for this?
Answer:
B.
Step-by-step explanation:
In the attached file
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.895 g and a standard deviation of 0.292 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a sample of 37 cigarettes with a mean nicotine amount of 0.809 g. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.
Answer:
3.67% probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 0.895, \sigma = 0.292, n = 37, s = \frac{0.292}{\sqrt{37}} = 0.048[/tex]
Find the probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.
This is the pvalue of Z when X = 0.809.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.809 - 0.895}{0.048}[/tex]
[tex]Z = -1.79[/tex]
[tex]Z = -1.79[/tex] has a pvalue of 0.0367
3.67% probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.
PLS NEED HELP ASAP RLLY APPRECIATE IT
Answer:
all i know is 8 and 9 might be correspondong angles
Step-by-step explanation:
i wish i wasn't going brain dead
A linear regression was conducted on the number of cigarettes a person smokes in a day versus the number of times they cough in a day. Suppose the number of cigarettes a person smokes in a day is our x variable and the number of times they cough in a day is the y variable.
In linear regression, the y variable is referred to as the:
a) response variable.
b) correlation coefficient.
c) explanatory variable.
d) true variable.
Answer:
a) response variable
Step-by-step explanation:
The response variable is the variable that depends on other variables such as the independent or explanatory variable, it is the variable that is being tested. The response variable is also called the dependent variable.
In linear regression, the y variable is referred to as the response variable while the x variable is referred to as the explanatory or independent variable.
In this case the y variable is "the number of times they cough in a day" and this variation depends on the x variable "number of cigarettes a person smokes in a day".
Identify the four terms of the treaty of Guadalupe Hidalgo
Answer:
Treaty of Guadalupe Hidalgo (1848) This treaty, signed on February 2, 1848, ended the war between the United States and Mexico. By its terms, Mexico ceded 55 percent of its territory, including parts of present-day Arizona, California, New Mexico, Texas, Colorado, Nevada, and Utah, to the United States.
Step-by-step explanation:
Answer:
Mexico was forced to recognize the Rio Grande as Texas's southern border and to recognize Texas's annexation to the United States. Mexico also had to give up the territories of New Mexico and California. In return, the United States paid $15,000,000 for these territories and agreed to assume Mexican war debts to United States citizens in Texas totaling $3,500,000. The Treaty was ratified by the United States Senate after a bitter debate.
Step-by-step explanation:
There are 12 teams in a league in how many ways can the teams finish first second third and fourth
Answer:11,880 ways
Step-by-step explanation:
Given
There are 12 teams in a league
So First place there is only team (assuming no ties)
So, first place can be filled by [tex]12\ ways[/tex] as there are 12 teams
and similarly 2 nd Place can be filled in [tex]11\ ways [/tex]
and for 3 rd place there are [tex]10\ ways[/tex]
For fourth Place there are [tex]9\ ways[/tex]
So, total no of ways are [tex]=12\times 11\times 10\times 9[/tex]
[tex]=11,880\ ways[/tex]
What is 6^4 written in expanded form
Answer:
6*6*6*6
Step-by-step explanation:
Answer= 23,958
Step-by-step explanation: do [tex]6x6x6x6[/tex]
(the [tex]x[/tex] are multiplication signs)
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
A. [tex]f(x) = -3(x +2)^2-2[/tex]
Step-by-step explanation:
There is a -3 being multiplied, making the function on the graph narrower from the original. The -3 also makes the function flip over the x-axis, since it's negative. There is also a 2 being added in (x + 2), meaning that it shifts left by 2 units. There is a -2, meaning that the function shifts 2 units down the graph.
Based on the information that applies to this function, this is the only function that represents f(x) on the graph given.
Someone please help ASAP
Answer:
PQ=20.7
OM=28
m<PMN=81 degrees
m<NOQ=22 degrees
Step-by-step explanation:
Solve for t
3t-9 <6 and -3t <12
Answer:
Step-by-step explanation:
3t-9<6
3t<6+9
or 3t<15
or t<5
-3t<12
-t<4
or t>-4
or -4<t
combining
-4<t<5
The value of t for the inequalities are,
1) t < 5
2) t > - 4
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality are,
⇒ 3t - 9 < 6
⇒ - 3t < 12
Now, Simplify the inequality for t as;
1) ⇒ 3t - 9 < 6
Add 9,
⇒ 3t - 9 + 9 < 6 + 9
⇒ 3t < 15
Divide by 3;
⇒ t < 5
2) - 3t < 12
⇒ - 3t < 12
Divide by 3;
⇒ - t < 12/3
⇒ - t < 4
Multiply by - 1,
⇒ t > - 4
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Which equation is most likely used to determine the acceleration from a velocity vs. time graph?
a = t over delta v.
m = StartFraction v subscript 1 - v subscript 2 Over x subscript 2 minus x subscript 1 EndFraction.
a = delta v over t.
m = StartFraction x subscript 2 minus x subscript 1 Over v subscript 1 - v subscript 2 EndFraction.
Answer:
[tex]a=\dfrac{\Delta v}{t}[/tex]
Step-by-step explanation:
Acceleration is the change in velocity per unit time. It is usually represented by the letter "a". An appropriate formula is ...
[tex]\boxed{a=\dfrac{\Delta v}{t}}[/tex]
The required equation for determining the acceleration from a velocity-time graph is [tex]a=\dfrac{\Delta v}{t}[/tex]equation is a=delta v over t.
We know that,
Acceleration is known as the rate of change of velocity per unit time.
The velocity vs time graph is the graph plotted between the change in velocity with the change in time.
What will be the acceleration?[tex]a=\dfrac{\Delta v}{t}[/tex]
Hence the required equation for determining the acceleration from a velocity-time graph is [tex]a=\dfrac{\Delta v}{t}[/tex].
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What is the surface area of the cylinder? Express the answer in terms of Pi?
Cylinder. Diameter 8 centimeters. Height 18 centimeters
a
304π cm2
b
792π cm2
c
152π cm2
d
176π cm2
Answer:
176π cm2
Step-by-step explanation:
If now Jenny is twice as old as Leo, and 5 years ago she was three times as old as he was, how old are they now?
Answer:
Leo is 10, Jenny is 20
Step-by-step explanation:
Let's say that Jenny's current age is j, and that Leo's current age is l. With this, we can set up the following equations:
j=2l
j-5=3(l-5)
Let's use substitution and plug the first equation into the second one:
(2l)-5=3(l-5)
2l-5=3l-15
l=10
j=20
Hope this helps!
Let f(x) = -2x -1, h(x)= -x -3 find (f ° h)(-3)
Answer:
(f o h)(-3) = -1
Step-by-step explanation:
(f o h)(x) = -2(-x - 3) - 1
(f o h)(x) = 2x + 6 - 1
(f o h)(x) = 2x + 5
(f o h)(-3) = 2(-3) + 5
(f o h)(-3) = -6 + 5
(f o h)(-3) = -1
whats 74.4% rounded to the nearest tenth of a percent?
Answer:
74.4
Step-by-step explanation:
It is already rounded to the nearest tenth of a percent. If it was rounded to the nearest percent it'd be 74%.
Answer:
74.4% rounded to the nearest tenth of a percent is 74.4%
Step-by-step explanation:
This is how to round 74.4 to the nearest tenth.
Firstly, 74.4 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:
Integer Part: 74
Fractional Part: 4
To round 74.4 to nearest tenth means to round the numbers so you only have one digit in the fractional part.
74.4 already has only one digit in the fractional part. Thus, 74.4 is already rounded as much as possible to the nearest tenth and the answer is:
74.4
Which of the number(s) below are potential roots
of the function?
p(x) = x4 + 22x2 – 16x - 12
+6
3
+1
+3
+8
Answer:
+1 is the potential root of the function.
Step-by-step explanation:
Given;
p(x) = x⁴ + 22x⁴ – 16x - 12
A potential root of the function is zero of the function. That is a potential root will reduce the function to zero or close to zero.
To determine this, we test each of the root given;
p(6) = (6)⁴ + 22(6)⁴ - 16(6) - 12 = 29700
p(3) = (3)⁴ + 22(3)⁴ - 16(3) - 12 = 1803
p(1) = (1)⁴ + 22(1)⁴ - 16(1) - 12 = -5
p(8) = (8)⁴ + 22(8)⁴ - 16(8) - 12 = 94068
The only number that reduces the function close to zero is +1, then +1 is the potential root of the function.
Answer: +-6, +-1, +-3
Step-by-step explanation: 2020edge
What is the coordinate of the point (6,8)
Answer:
1st quadrant
Step-by-step explanation:
Both positve numbers for the points are 1rst quadrant. Both negative numbers for the points are 3th quadarant. If the x is negative then the quadrant is 2. If y is negative the quadrant is 4.
6+ (-x) + 2x + (-7) + 2x
Answer:
3x-1
Step-by-step explanation:
6 +(-x) +2x + (-7) + 2x=
6-x +2x -7 + 2x =
6-7+ 2x+2x-x=
-1 + 3x=
3x-1
What is the radius of a circle with an area of 113.04 yds? (use 3.14 for pi; show your work in numbers)
Answer:
6 inches
Step-by-step explanation:
Answer:
Radius of the circle is of 3 inches.
Step-by-step explanation:
It is given that the area of the circle is 113.04,
Let the radius of the circle be of "a" units
=======================
From the properties of circle, we know : -
Area of circle = πr^2 , where r is the radius of the circle.
======================
Then, comparing the question with the identity :
= > πr^2 = 113.04 sq. inches
= > 3.14 x r^2 = 113.04 sq. inches
= > r^2 = 113.04 / 3.14 sq.inches
= > r^2 = 36 sq. inches
= > r = 6 inches
Hence,
r or radius of the circle is of 6 inches.
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