The formula for a confidence interval is point estimate ± margin of error. Where point estimate is the sample mean, and the margin of error is calculated as z * (standard deviation / square root of sample size) or t * (standard deviation / square root of sample size) based on whether the population standard deviation is known or unknown.
The formula for a confidence interval is point estimate ± margin of error. Where point estimate is the sample mean, and the margin of error is calculated as z * (standard deviation / square root of sample size) or t * (standard deviation / square root of sample size) based on whether the population standard deviation is known or unknown. The confidence level is the probability that the true population mean lies within the confidence interval.
A confidence interval can be expressed as x ± E, where E is the margin of error. The formula for the margin of error is E = z* (s/√n), where z is the critical value from the standard normal distribution corresponding to the desired confidence level, s is the sample standard deviation, and n is the sample size.The confidence level for the interval x ± 1.43/ n is not specified in the problem, which means that we cannot determine it. If the confidence level is not given, it is impossible to determine it based on the interval alone. Therefore, we cannot round the answer as it is not possible to calculate it. We would need more information to do so.
Answer: The confidence level for the interval x ± 1.43⁄ n cannot be determined without additional information.
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On her way to visit her relatives, Jessica drives 180 miles in 4 hours. What is her average rate of speed in miles per hour?
ASAP!!!
Answer:
It is 50 mph
Step-by-step explanation:
How to evaluate 15/16
Answer:
0.9375
Step-by-step explanation:
\(\frac{15}{16}\) ( divide value on numerator by value on denominator , that is
15 ÷ 16 = 0.9375
Lisa bought a treadmill for $925. She made a 20% down payment and financed the rest over 18 months. Find the monthly payment if the interest rate was 11%.
The monthly payment if the interest rate was 11% will be $45.63.
The remaining amount is calculated as,
P = (1 - 0.20) x $925
P = 0.80 x $925
P = $740
The monthly payment is calculated as,
MP = [$740 + ($740 x 0.11)] / 18
MP = $821.4 / 18
MP = $45.63
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The monthly payment is $49.69.
We have,
The amount of the down payment is:
0.20 x $925 = $185
So the amount financed is:
$925 - $185 = $740
Using the formula for the monthly payment on a loan:
= (Pr(1+r)^n) / ((1+r)^n - 1)
where:
P = principal or amount financed = $740
r = monthly interest rate = 11%/12 = 0.0091667
n = total number of payments = 18
Plugging in the values, we get:
Monthly payment
= ($7400.0091667 x (1+0.0091667)^18) / ((1 + 0.0091667)^18 - 1)
= $49.69 (rounded to the nearest cent)
Therefore,
The monthly payment is $49.69.
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Blackberry is also in the business of selling phones. The data for the profit that Blackberry makes on selling tablets is resented by the following equation with profit being P(b) and b being number of blackberry phones sold (both variables in million)
Answer:
2
Step-by-step explanation:
this might be the rong answer
17. The circumference of a circle is C centimeters. The diameter of a circle is 18 centimeters. What expression represents the value of ?
Answer:
It may be 18 centimeters
Using the z table, determine the critical value for the left-tailed test with α = 0.02. Round your answer to 2 decimal places.
-2.05 is the critical value for the left-tailed test .
What is critical z value?
The -1.96 and +1.96 standard deviations are the essential z-score values when adopting a 95 percent confidence level.
With a 95 percent confidence level, the uncorrected p-value is equal to 0.05.The critical value for a two-sided test is Z 1-/2, while for a one-sided test, it is Z 1.
You reject the null hypothesis if the absolute Z-value is higher than the crucial value. If not, you have not successfully ruled out the null hypothesis.
Given that,
α = 0.02.
left tailed test
Zα = 0.02 = -2.05
critical value = -2.05
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Solve for x.
z = 6 π x y
Image Below
Answer:
third option
Step-by-step explanation:
Given
z = 6πxy ( isolate x by dividing both sides by 6πy )
\(\frac{z}{6\pi y}\) = x
What is the average rate of change from 1.5 h to 2 h
The average rate of change from 1.5h to 2h is -0.5h.
Average rate of change:
Average rate of change means the average rate at which one quantity is changing with respect to something else changing.
The average rate of change formula is given as,
A(x) = b - a
where,
A(x) = Average rate of change
a = Value of a
b = Value of b
Given,
Here we have to find the average rate of change from 1.5h to 2h.
Let us consider the value of x2 = 1.5h and the value of x1 is 2h.
So, the average rate of change is calculated as,
Δx = x2 - x1
Apply the values on the formula then we get,
Δx = 1.5 - 2
When we substract the values then we get,
Δx = - 0.5
Therefore, the average rate of change is -0.5h.
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the scale on the map is 1 cm represents 40 km . the actual straight line distance between 2 cities is about 320 km what is the map distance between these 2 cities
Answer:
8cm
Step-by-step explanation:
the ratio of cm to km is 1 cm on the map equals 40 km. or 1/40 so you have to find what is x/320 using the ratio of 1/40 you gt that x equals 8
help me please!!!
7(9+x) =84
Answer:
x=3
Step-by-step explanation:
Answer:
x = 3Step-by-step explanation:
Solving for x:
7(9 + x) = 847(9) + 7x = 8463 + 7x = 847x = 84 - 637x = 21x = 21/7x = 3Solve the equation for x .........
Answer:
-30
Step-by-step explanation:
-x/10 = 3
-x = 3 * 10 (transposing)
-x = 30
x = -30
0.18 repeating fraction in the simplest form.
Answer:
2/11
Step-by-step explanation:
Let's say our fraction is x = 0.1818181818...
The trick is to multiply x by 10²=100 in this case, since there are two repeating digits, and then subtract the original x.
So, in fact you are subtracting 0.181818 from 18.181818 which effectively cancels the entire bit after the decimal point.
You get:
100x - x = 18
Which you can solve:
99x = 18
x = 18/99 = 2/11
a sociologist chosw 300 students at random from each of two schoolw ans asked each students how many siblings he or she has. what is the median number of siblings for all the students surveyed?
The median number of siblings for all the 300 students selected randomly from two schools and surveyed is equals to the 1. So, the correct choice for this problem is option (b).
The median of a data set is the middle value when the data points are sorted in either ascending or descending order. In case of odd number of data values, the middle value is median but in case of even number of values the arithmetic mean two middle value is median. We have a total of 600 data points provided, which is even so the median will be the average of the 300ᵗʰ and 301ᵗʰ data points. When the data points are sorted in order
siblings value 1 through 260 is 0.Siblings value 261 through 450 is equals to 1.siblings value 451 through 540 is 2.Siblings value 541 through 580 is 3.Siblings values 581 through 600 is equals to 4.Therefore, both the 300ᵗʰ and 301ˢᵗ values are 1, and hence the median is 1.
So, here choices A, C, and D are incorrect . Hence, required value is 1.
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Complete question:
A sociologist chose 300 students at random from each of two schools and asked each student how many siblings he or she has. The results are shown in the table below. There are a total of 2,400 students at Lincoln School and 3,300 students at Washington School.
What is the median number of siblings for all the students surveyed?
a) 0
b) 1
c) 2
d)3
Please help me with this Geometry Question
The value of x from the given figure is 12 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔADC and ΔABC,
∠C=∠C (Reflex property)
AC=AC (Reflex property)
∠BAC=∠CDA=90°
By AA similarity, ΔADC ~ ΔABC
So, AC/BC = DC/AC
x/36 = 4/x
x²=36×4
x²=144
x=12 units
Therefore, the value of x from the given figure is 12 units.
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+
+ (-6) = 3
What number goes before the plus
Answer:
I think it 9 too , I'm so sorry if I'm wrong
A randomized controlled trial in which each subject is assigned to a combination of at least two independent variables is an example of a/an:
A randomized controlled trial in which each subject is assigned to a combination of at least two independent variables is an example of a Factorial Design.
In statistics, a full factorial experiment is one in which all potential combinations of the levels across all of the factors are taken into account by the experimental units. A full factorial experiment has two or more factors with discrete possible values or "levels" in its design. A fully crossed design is another name for a full factorial design. Using such an experiment, the researcher can examine how each element affects the response variable as well as how different factors interact with one another.
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In the standard (x,y) coordinate plane, what is the
slope of the line 3x + 8y = 5?
Step-by-step explanation:
Turn the standard form equation into a slope-intercept form equation using algebra.
Slope-intercept form: \(y=mx+b\)
Key:
m = slopeb = y-interceptSubtract each side by 3x:
\(8y=-3x+5\)
Divide each side by 8:
\(y=-\frac{3}{8} x+\frac{5}{8}\)
-3/8 is in the position of m, the slope.
The slope is -3/8.
will give brainliest to quickest answer
Answer:
The vertex is option C: (-6, -2)
Step-by-step explanation:
The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)
Pls mark brainliest.
ivy bought 10 packs of cups for her holiday party. a pack of medium cups costs $1.80 and a pack of large cups costs $2.40. she paid a total of $21.60. how many packs of each size cup did she buy?
Answer:
4 packs of medium cups and 6 packs of large cups
Step-by-step explanation:
1.80x + 2.40y = 21.60
1.80(4) + 2.40(6) = 21.60
7.2 + 14.4 = 21.60
21.60 = 21.60
Answer:
Ivy bought 4 packs of medium cups, and 6 packs of large cups.
Step-by-step explanation:
To solve this problem, we will have to use a system of equations. Our first equation will represent the cups, and our second equation the costs.
Let \(m\) equal medium cups.
Let \(l\) equal large cups.
\(m+l=10\)
\(1.80m+2.40l=21.60\)
Let's use substitution to solve this system.
Subtract \(l\) from both sides of the first equation:
\(m=10-l\)
Let's substitute \(10-l\) into the second equation for \(m\):
\(1.80(10-l)+2.40l=21.60\)
Distribute \(1.80\) into \((10-l)\):
\(18-1.80l+2.40l=21.60\)
Combine like terms:
\(18+0.6l=21.60\)
Subtract \(18\) from both sides of the equation:
\(-0.6l=3.60\)
Divide by the coefficient of \(l\), which is \(0.6\):
\(l=6\)
Ivy bought 6 packs of large cups.
_
Let's substitute \(6\) into the first equation to find the number of medium cup packs:
\(m+6=10\)
Subtract \(6\) from both sides of the equation:
\(m=4\)
Ivy bought 4 packs of medium cups.
_
We can check our work 2 ways; by substituting our solved values into the initial equations.
1st Equation Check:
\((4)+(6)=10\)
\(10=10\)
2nd Equation Check:
\(1.80(4)+2.40(6)=21.60\)
\(7.2+14.4=21.60\)
\(21.60=21.60\)
Our answers are correct!
Find the missing dimension. Use the scale 2: 5.
2:5
L
Model
Actual
2. Depth: 10 km
3. Length: 5 in.
Depth: _5 km
Length: in.
4. Length:
ft
Length: 24 ft
5. Diameter:
m
Diameter: 32. 5 m
The model on the fifth row has a diameter of 32.5 meters, hence the actual diameter is 32.55 = <<32.55=162.5>>162.5 meters.
What are dimensions?The minimal number of coordinates required to specify each point within a mathematical space (or object) is known as the dimension in physics and mathematics.
Because only one coordinate is required to identify a point on a line, such as a point at 5 on a number line, a line is said to have one dimension (1D).
Because two coordinates are necessary to identify a point on a surface, such as the perimeter of a sphere or cylinder, it is referred to as having a dimension of two (2D).
For instance, a point on the surface of a sphere requires both a latitude and a longitude to be located.
So, we can use a scale of 2:5 as a conversion factor to identify the table's missing dimensions.
For instance, the model's length in the second row is 2 inches, but the real length is 5 inches.
This implies that the model's 1 inch corresponds to the actual object's 5 inches.
The actual depth is 10 5 = 50 km because the model's depth is 10 km.
Since the model's length is not specified in the fourth row, we are unable to determine its true length.
Therefore, the model on the fifth row has a diameter of 32.5 meters, hence the actual diameter is 32.55 = <<32.55=162.5>>162.5 meters.
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Correct question:
Find the missing dimension. use the scale 2: 5.
2:5
l
model
actual
2. depth: 10 km
3. length: 5 in.
depth: _5 km
length: in.
4. length:
ft
length: 24 ft
5. diameter:
m
diameter: 32.5 m
Could I please get assistance with this question. Create a mini cricket/rugby clinic explanation where you teach learners about cricket/rugby while incorporating Mathematics or English literacy. Your explanation should be informative and insightful.
i) suppose that 1, 2, 3 are in 5, 2 is not a multiple of 1, 3 is not a linear combination of 1 2. then {1, 2, 3} is linearly independent.
To show that {1, 2, 3} is linearly independent, we need to prove that the only solution to the equation a11 + a22 + a3*3 = 0 is a1 = a2 = a3 = 0.
Suppose that there exist constants a1, a2, and a3 such that a11 + a22 + a33 = 0. Since 1, 2, and 3 are all in 5, we know that they are nonzero. If a3 = 0, then a11 + a2*2 = 0. Since 2 is not a multiple of 1, a2 must be 0, which means a1 = 0 as well. So we have a1 = a2 = a3 = 0 in this case, and {1, 2, 3} is linearly independent.
If a3 is nonzero, we can divide both sides of the equation by a3 to get a1/ a31 + a2/ a32 + 3 = 0. This means that 3 is a linear combination of 1 and 2, which contradicts the given condition that 3 is not a linear combination of 1 and 2. Therefore, a3 must be 0, and we are back to the previous case where a1 = a2 = a3 = 0.
Therefore, {1, 2, 3} is linearly independent. The conditions that 1, 2, and 3 are in 5, 2 is not a multiple of 1, and 3 is not a linear combination of 1 and 2 are sufficient to show this.
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The statistic that reflects the distribution of values for a variable is called?
Answer:
Standard Deviation
Step-by-step explanation:
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
One thing that many students think about when they register for classes at a university is how many textbooks they are going to have to buy for the class and how much the books are going to cost. To add to this, a lot of the students wonder if they are even going to use the books that they are required to buy. In fact, some students don’t buy books for their classes because they are convinced that they don’t really need them to achieve an acceptable grade.
This is exactly the line of thinking that textbook writers are afraid of—they want students to have to use their books to get good grades in their classes, and they want professors to think that students need their books so that they require them as part of their classes.
Even though textbooks have a definite value—they are available to students who use them when their professors are not—there is some debate on whether they are really needed as part of university classes.
Recently, a researcher conducted an experiment to address this question. In the experiment, the researcher compared two sections of his introductory statistics course, a course required for all liberal arts and sciences students. Students who were enrolled in the fall semester of the course were told that buying the textbook was optional, whereas students enrolled in the spring semester were told that buying the textbook was required. All 380 of the students (190 in the fall and 190 in the spring) completed the course, and they all took the final exam, which consisted of some calculations and several conceptual essay questions.
When the professor finished scoring the essays, he compared the final exam grades of both sections of the class. He found just what he thought he would—there were no differences in the scores on the exams between the section that thought the textbook was optional and the section that thought the textbook was required. The average grade for the fall semester was 84.3%, and for the spring semester it was 85.2%.
Based on this study, the researcher concluded that textbooks were not necessary or helpful for learning, since there were no differences in scores between the two sections.
No control or comparison group
No random assignment
Participant bias
Small sample size
Poor sample selection
Attrition or mortality
Experimenter bias
Confuse correlation with causality
DV is not reliable, precise or accurate
DV is not valid
DV is not objectively scored
Premature generalization of results
The study conducted by the researcher suffers from several limitations, including the absence of a control group, small sample size, participant bias, and experimenter bias. Furthermore, the sample selection is inadequate, as all the participants are students of one course in a single university.
Moreover, the study fails to account for extraneous variables that might affect the results. Therefore, that textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. T he study is flawed, and more research is needed to assess the effect of textbooks on learning.
The study conducted by the researcher suffers from several limitations. First, there is no control group, which makes it difficult to determine whether the results are due to the absence or presence of the textbook. Second, the sample size is small, which reduces the generalizability of the findings.
Third, there is participant bias, as some students might have bought the textbook even though it was optional, while others might not have bought it even though it was required. Fourth, there is experimenter bias, as the professor who scored the essays knew which section had the textbook and which did not.
Fifth, the sample selection is inadequate, as all the participants are students of one course in a single university. Moreover, the study fails to account for extraneous variables that might affect the results, such as the students' prior knowledge, motivation, and study habits.
Therefore, the textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. The study is flawed, and more research is needed to assess the effect of textbooks on learning.
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suppose you and i play a game where we take turn flipping a coin. the first person to flip heads wins. does it matter who goes first, and if so, would you prefer to go first?
No, it does not matter who will go first as the probability of getting both head and tail after flipping a coin is equal to ( 1 / 2 ).
As given in the question,
Number of players playing the game = 2
Number of coins to flip = One
Possible outcomes after flipping a coin = { Head , Coin }
Probability of getting a head
= (Number of favourable outcomes) / ( Total number of outcomes)
= 1 / 2
Probability of getting a tail
= 1 / 2
Either you tossed first or second chances are fifty percent.
Therefore, it does not matter who will go first as probability of getting head and tail is ( 1 / 2) after flipping a coin.
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Kayla was driving from Philadelphia to Florida, trying to remain at a constant speed as much as possible after she reached the highway. She travelled 139.5 miles after an hour and a half and then 395 miles after 5 hours. Which represents Kayla's speed (rate of change)?
Answer:
Step-by-step explanation:
Speed = change in distance/change in time
S= Δd/Δt
let d1 = 139.5miles
d2 = 395miles
t1 = 1.5 hrs
t2 = 5hrs
Δd = d2-d1
Δd = 395-139.5
Δd = 255.5miles
Δt = 5-1.5
Δt = 3.5hrs
Speed = 255.5/3.5
Speed = 73miles/hr
Hence Kayla's speed is 73miles/hour
Gabriel’s grandmother gets a 25% senior discount on a bus pass that has a regular price of $90.
Answer:
$67.50
Step-by-step explanation:
25% = .25
90 x .25 = 22.5
90( total) - 22.5 ( 20%) = 67.5
The price of the bus pas is $ 67.50 with a 20% discount.
Express using Algebra 15% of A
Answer:
0.15 x A
Step-by-step explanation:
15% is equal to 0.15
of means multiplication
0.15 x A
what are the inverse operations for addition and multiplication?
Answer:
Operations Inverse operations
Addition Subtraction
Subtraction Addition
Multiplication Division
Division Multiplication
Step-by-step explanation:
i hope this will help you
Math need help 0.08
x 0.3
Answer:
This is the answer
0.024
Q: What is 0.08 times 0.3?
A: 0.08 x 0.3 = 0.024; simplified: 3/125