14 Children were left at the campfire after 4 left
Since the 11th child was seated directly opposite the 3rd child, then they have 8th children between them on either sides
So the total number of children will be 8 + 8 + 2 = 18 children
So given that 4 children left the campfire, the number of children left will be 18-4 = 14 children
Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .05 significance level.
The null and alternative hypothesis would be:
The test is:
two-tailed
right-tailed
left-tailed
Based on a sample of 60 men, 25% owned cats
Based on a sample of 60 women, 30% owned cats
The test statistic is:
(to 2 decimals)
The p-value is:
(to 2 decimals)
Based on this we:
Fail to reject the null hypothesis
Reject the null hypothesis
The assertion that the percentage of males who own cats is lower than the percentage of women who do not own cats is unsupported by sufficient data.
Hence, the Alternate hypothesis would be:
H0: Pm = Pf
H1 = Pm < Pf
What is Alternate hypothesis?Alternate hypotheses are used in statistical hypothesis testing. The hypothesis of a test always predicts no effect or no association between variables, but the alternative hypothesis reflects the effect or relationship that your research predicts.
Given information:
The test claims proportion of men who owns cat is smaller.
The significance level = 0.005
As the hypothesis always gets ten statements of equality but in the case given alternate hypothesis will claim.
Now calculating the Z-value:
P= 10+14/80
= 0.3
So, the p-value according to the obtained Z value is 0.1365.
Since, 0.1365>0.005, we fail to reject the hypothesis.
Hence, there is not enough proof to support the claim that the proportion of man who owns the cat is less than that of the proportion of women who owns the cat.
Therefore, the Alternate hypothesis would be:
H0: Pm = Pf
H1 = Pm < Pf
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What’s the difference between 126 1/4 and 78 7/12
The difference between 126 1/4 and 78 7/12 is 143/3 or 47 2/3.
The is the difference between the two mixed fraction?To find the difference between the numbers simplify means;
to subtract 78 7/12 from 126 1/4 .
126 1/4 - 78 7/12
First, convert the mixed fractions into improper fractions.
( 126 × 4 + 1 )/4 - ( 78 × 12 + 7) /12
505/4 - 943/12
Multiply first term by 3/3 which is the same as 1.
( 505/4 × 3/3 ) - 943/12
1515/12 - 943/12
( 1515 - 943) / 12
572 / 12
143/3 or 47 2/3.
Therefore, the difference is 143/3 or 47 2/3.
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Finding the area and perimeter
Answer:
Lion area: 60
Lion Perimeter: 34
Tiger Area: 60
Tiger perimeter: 64
Step-by-step explanation:
An artist mixes yellow and blue paint to make the perfect shade of green. She uses 2 ounces of blue paint for every 7 ounces of yellow
Answer:
what do we need to figure out
Step-by-step explanation:
please solve and receive brain list
Answer:
26 = -28 - 12
Step-by-step explanation:
1. 12 x 1 - 12 x 3x
2. 8x - 36
Answer:
x = 1
Step-by-step explanation:
6x + 26 = 8x - 12(1 - 3x)
6x + 26 = 8x - 12 + 36x
6x + 26 = -12 + 44x
-6 + 6x + 26 = -12 + 44x - 6
26 = -12 + 38x
12 + 26 = -12 + 12 + 38x
38 = 38x
38/38 = 38x/38
1 = x
Jamal is five years less than the age of his brother Alex and the product of their ages is 300. How old is Jamal?
Let's start by defining some variables:
Let's call Jamal's age "J".
Let's call Alex's age "A".
From the problem statement, we know that:
J = A - 5 (Jamal is 5 years younger than Alex)
J * A = 300 (the product of their ages is 300)
We can use the first equation to substitute J in the second equation:
(A - 5) * A = 300
Expanding the left-hand side:
A^2 - 5A = 300
Moving all terms to the left-hand side:
A^2 - 5A - 300 = 0
We can solve for A using the quadratic formula:
A = (-(-5) ± sqrt((-5)^2 - 41(-300))) / (2*1)
A = (5 ± sqrt(25 + 1200)) / 2
A = (5 ± sqrt(1225)) / 2
Since A is a positive integer, we take the positive solution:
A = (5 + 35) / 2 = 20
Now we can use the first equation to find J:
J = A - 5 = 20 - 5 = 15
Therefore, Jamal is 15 years old.
be careful not to confuse availability with reliability. an available network, for example, does not drop many packets. however, a reliable network is up and operational.
False: Make careful not to mix up accessibility and dependability. For instance, a functioning network rarely drops packets. however, a trustworthy network is active and running.
Explain the term Network availability with reliability?Network reliability is the amount of uninterrupted infrastructure use. There are a few different formulae that are used to calculate reliability.
The first is called mean time among failures (MTBF), which is calculated by dividing the entire time in service by the quantity of failures. The second being failure rate, that is calculated by dividing the total number of failures by the period of service.The proportion of time network infrastructure is operational over a certain time period is known as network availability.
Alternatively put, uptime divided by the total time spent in service.On the other hand, network dependability highlights how effectively the infrastructure functions to enable functional tasks. A network that has a long MTBF or a reduced failure rate is more likely to consistently finish transactions and procedures.Thus, it is incorrect that "make careful not to mix up accessibility and dependability. For instance, a functioning network rarely drops packets. however, a trustworthy network is active and running."
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The complete question is-
Be careful not to confuse availability with reliability. an available network, for example, does not drop many packets. however, a reliable network is up and operational. (True/ False)
The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 26.50 mpg and a standard deviation of σ = 3.25 mpg.
(a) What is the standard error of X¯¯¯
, the mean from a random sample of 25 fill-ups by one driver? (Round your answer to 4 decimal places.)
The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.
A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:
Standard Error (SE) = σ / sqrt(n),
where σ is the standard deviation and n is the sample size.
In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.
Plugging in these values into the formula, we have:
SE = 3.25 / sqrt(25).
Calculating the square root of 25, we get:
SE = 3.25 / 5.
Performing the division, we find:
SE ≈ 0.65.
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Brad works in the sales department for a furniture store. He earns a salary of $2,500 a month and a 3% commission if he meets his quota of $10,000 in sales for the month. If he doesn’t meet his quota but sells at least $5,000 worth of furniture, he gets 1.5% commission off of his sales. Brad sold $7,000 worth of furniture in May. What were his total earnings in May? ASAP PLEASE !!!!!!!!
Answer:
2605
Step-by-step explanation:
2500 + (7000*1.5%)
2500 + 105
2605
A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
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Band students going to a competition can get a special hotel rate of $90 per room. They have a parent donation of $310 to help with the cost.
They have a budget of $2800. Write an equation and use it to find the number of rooms they can purchase.
a
2800=90r+310; 27 rooms
b
3110=90r; 35 rooms
c
3110=90r; 34 rooms
d
2800=90r+310; 28 rooms
Answer:
C. 3110=90r; 34 rooms
Step-by-step explanation:
budget: $2800 + donation: $310 = $3110
$3110 ÷ 90 (each room) = 34.5555
so.. they can get 34 rooms with some money left over
Evaluate the following quotient. Leave your answer in scientific notation.(5.9 x 10°) = (4 x 104)AnswerKeyboХ
Statement Problem: Evaluate the following quotient. Leave your answer in scientific notation.
\((5.9\times10^9)\div(4\times10^4)\)Solution:
\((5.9\times10^9)\div(4\times10^4)=\frac{5.9}{4}\times\frac{10^9}{10^4}\)By law of indices;
\(\frac{a^b}{a^c}=a^{b-c}\)\(\begin{gathered} (5.9\times10^9)\div(4\times10^4)=\frac{5.9}{4}\times10^{9-4} \\ (5.9\times10^9)\div(4\times10^4)=1.475\times10^5 \end{gathered}\)ANSWER:
\(1.475\times10^5\)Use the information to answer the question. The table shows the amount of lemon juice and water that 4 students mix. Student Luca Kal Jenna Micah Lemon Juice Water (fluid ounces) (fluid ounces) 2 6 4 6 10 8 9 B Which two students mix the same ratio of lemon juice to water? Choose two students to show the answer.
The two students that mix the same ratio of juice to water is given as follows:
A. Luca.
D. Micah.
How to obtain the ratio between two amounts?The ratio between two amounts a and b is given as follows:
a to b.
Which is also the division of the two amounts.
Hence the ratio of juice to water for each person is given as follows:
Luca: 2/6 = 1/3.Kal: 6/10 = 3/5.Jenna: 4/8 = 1/2.Micah: 3/9 = 1/3.Hence Luca and Micah used the same ratio, meaning that options A and D are correct.
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Mina has 462 flowers if she wants to put nine flowers in each phase how many for vases will she have how many flowers will she have left over
Write an equation in slope-intercept form (y = mx + b).
Passing through (2, -3) with a slope of 5/3.
Answer:
Step-by-step explanation:
y + 3 = 5/3(x - 2)
y + 9/3 = 5/3x - 10/3
y = 5/3x - 19/3
help yall please!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Well it would be funchen because as you see it just makes sence
Answer:
not a function
Step-by-step explanation:
In a function, an input gives only one output. As you can see from the graph, the input which is 4 produces 3 different outputs which are 2, 3 and 4, thus it cannot be a function.
3x+2=198
Solve it as Soon as possible!
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Let's solve for x ~
\(3x + 2 = 198\)\(3x = 198 - 2\)\(3x = 196\)\( \boxed{ \boxed{x = \dfrac{196}{3} } \: \: or \: \: \boxed{ x = 65.33}}\)Answer:
\(\boxed{\blue{ = \frac{196}{3}}} \)
Step-by-step explanation:
Let's solve your equation step-by-step.
3x+2=198
Step 1: Subtract 2 from both sides.
3x+2−2=198−2
3x=196
Step 2: Divide both sides by 3.
\( \tt \: \frac{3x}{3} = \frac{196}{3} \)
Result:
\(\boxed{\underline{ x = \frac{196}{3}}} \)
PLEASE HELP!!!!!!!!!!!
What are the benefits and limitations of quadratic models in real world applications such as bridge design?
The benefits of using quadratic models in real-world applications include: -They are versatile and can be used for a variety of problems.
Why are Quadratic Models important?Researchers may find the quadratic model to be a useful data analytic approach for helping them identify the combined impacts of achievement goals on academic accomplishment.
We anticipate that future studies on the impact of academic achievement goals will frequently use the quadratic model to analyze their data.
Situations that can be approximated by quadratic functions include tossing a ball, firing a cannon, jumping off a platform, and hitting a golf ball.
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Same set up as the problem to the left. Fill in the blanks.
The blanks that are missing in the sequence are -3 and 11
How to fil in the blanks in the sequencefrom the question, we have the following parameters that can be used in our computation:
The blanks in the sequence
When listed out, we have
_, _, 25, 39
Assuming that the sequence, is an arithmetic sequence, then we have
Common difference = 39 - 25
Common difference = 14
This means that
Previous term = 25 - 14 = 11
Firs term = 11 - 14 = -3
So, the missing terms are -3 and 11
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63 + (15 - 6) x 14 + 2
Answer:
191
Step-by-step explanation:
1) Simplify 15-6 to 9
63 + 9 x 14 + 2
2) Simplify 9 x 14 to 126
63 + 126 + 2
3) Simplify 63 + 126 to 189
189 + 2
4) Simplify
191
Is (1, 2) a solution to the equation y = 8x?
Answer:
no it is not
Step-by-step explanation:
8 × 1 does not equal 2
PLEASE HELP ME ON QUESTION ASAP!!
IF YOU HAVE A TOPIC LIST IN YOUR EXAMS AND IT SAYS AVERAGES AND THE RANGE ARE YOU GOING TO BE HAVING MEAN AND RANGE IN YOUR TEST OR MEAN, RANGE MODE, MIDPOINT BASICALLY ALL OF IT ? IF ANSWERS CORRECT ILL RATE YOU FIVE STARS, GIVE YOU A THANKS AND MAYBE EVEN BRAINLIEST (sorry for caps)
Answer:
Step-by-step explanation:
Typically yes you need to know
Mean
Median
Mode
and Range
Mean = average, add all numbers then divide by how many
Median = midpoint, middle number. Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers
Mode = numbers that occurs the most in the list of numbers
Range = This is the largest number minus the smallest number.
help... ME!!
which boxes have a volume of 96 cubic feet?
Answer:
Option B) A and C
Step-by-step explanation:
12 Jana is writing a report about wages.
She has this information about the ages and weekly pay of eight men.
Age (years)
27
41
32
19
46
37
24
53
Weekly pay (£)
470
686
514
295
612
578
338
615
DO NOT WRITE IN THIS AREA
Jana wants to draw a diagram to see if there is a relationship between age and
weekly pay for these eight men.
(a) Draw a suitable diagram for Jana.
(3)
Answer:
Step-by-step explanation:
Federal law provides minimum wage exceptions under specific circumstances for (1) workers with disabilities, (2) full-time students, (3) employees under 20 years old in their first 90 consecutive days of employment, (4) tipped employees, (5) student learners, (6) apprentices, and (7) messengers
In exercises 3 and 4, find the value of x.
3)
x= 16
4)
x= 51
please ask any questions in the comments below if needed
Answer: 3. 16=X 4. X=51
Step-by-step explanation:
Okay so for number 3, both angles are the same because of the parallel lines, so you can have the angles be equal to each other. Then just do the math. Giving you 16 as the answer
For 4 the angles added up together equal 180 because of the parallel lines. So you have to make them add up and then equal to 180, at the ending the answer is 51.
If mZA = (4x - 2)° and mZB= (6x-20), what is the value of x?
To find the value of x, we can set the two angle measures equal to each other and solve for x.
Given:
mZA = (4x - 2)°
mZB = (6x - 20)°
Setting them equal to each other:
4x - 2 = 6x - 20
Now, we can solve for x:
4x - 6x = -20 + 2
-2x = -18
Dividing both sides by -2:
x = -18 / -2
x = 9
Therefore, the value of x is 9.
Answer:
The answer is 9.
Step-by-step explanation:
We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:
mZA + mZB + mZC = 180°
Substituting the given values, we get:
(4x - 2)° + (6x - 20)° + mZC = 180°
Simplifying the left side, we get:
10x - 22 + mZC = 180°
Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:
mZA = mZB
Substituting the given values and simplifying, we get
4x - 2 = 6x - 20
Solving for x, we get:
x = 9
Therefore, the value of x is 9.
A hospital emergency room has collected a sample of 40 to estimate the mean number of visits per day. The sample standard deviation was found to be 32. Using a 90 percent confidence level, what is its margin of error
====================================================
Explanation:
s = 32 = sample standard deviation
n = 40 = sample size
Despite not knowing the population standard deviation (sigma), we can still use the Z distribution because n > 30. When n is this large, the student T distribution is approximately the same (more or less) compared to the standard Z distribution. The Z distribution is nicer to work with.
At 90% confidence, the z critical value is roughly z = 1.645. This can be found using either a Z table or a calculator.
------------------
We have these values:
z = 1.645 (approximate)s = 32n = 40Plug these values into the margin of error formula.
\(E = z*\frac{s}{\sqrt{n}}\\\\E \approx 1.645*\frac{32}{\sqrt{40}}\\\\E \approx 8.32311480156318\\\\E \approx 8.323\\\\\)
The margin of error is roughly 8.323
I rounded to 3 decimal places because z = 1.645 is rounded to 3 decimal places. If your teacher wants some other level of precision, then be sure to follow those instructions.
helppp it's urgent and I don't understand dhow to do this please.
Answer:
i) Consecutive interior angles
ii) Supplementary angles
iii) The two oars are parallel by consecutive interior angles theorem
Step-by-step explanation:
i) m∠1 and m∠2 lie between two line and on the same side of the line passing through the two lines. Therefore, they are consecutive interior angles
ii)x = 10
m∠1 = 6x + 18
= 6(10) + 18
= 60 + 18
= 78
m∠2 = 9x + 12
= 9(10) + 12
= 90 + 12
= 102
m∠1 + m∠2 = 72 + 108 = 180
Since m∠1 and m∠2 add to 180, they are supplementary angles.
iii) The two oars are parallel
consecutive interior angle theorem:
If a transversal cuts through two line and the consecutive interior angles are supplimentary, then the two lines are parallel
Jenny won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The prizes include 4 rings, 3 cameras, and 2 headsets.
Prizes
(a) Find the odds against Jenny winning a headset.
(b) Find the odds in favor of Jenny winning a headset.
The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.
Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:
· 1 headset out of 9 total prizes
· 1/9 = headset
· 1/9 x 100 = 11.11%
· 100 - 11.11 = 88.89%
Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.
The two beakers below contain pure water.
Which of the following properties is the same for both of these samples?
A
Mass
B
Weight
C
Volume
D
Boiling Point