Mary needs a laptop. She decided to barrow one on hire purchase. The marked price of the laptop $100, 200 and she had to pay a deposit of 10% of the marked price. If the total hire purchase price of the laptop is $142, 020 after a 5 year payment plan, how much was Mary’s monthly payments?
Answer:
2, 367
Step-by-step explanation:
142,020 / 5 = 28, 404
28, 404 / 12 = 2, 367
6th work. What measure of Central tendency is calculated by adding all the values and diving the sum by the number of values
A) Median
B) Mean
C) Mode
D) Range
a variable for which no data have been collected but has influence on other variables in the study.
Answer:
Confounding variable
Step-by-step explanation:
Confounding variables also known as lurking or third variable are varibeks which causes an unwanted or spurious association between an independent and dependent variable. This Confounding variable usually has a relationship between not the independent and dependent variable and if not adequately managed or corrected for, they may cause a relationship which is not intended thereby interfering with the outcome of our research. Such is the correlation between ice cream sale and murder rate.
Please help I can't figure it out
Answer:
61.2%
Step-by-step explanation:
Let's start by finding the total area of the circle
it says that the radius is 4 so the total area is 16π
Then let's find the area of the traingle
The hieght is 6.5 and the base is 6
.5*6.5*6=19.5
Let's then find the white area
16π-19.5=30.765
Finally we just have to do (30.765/16π)= 61.2%
what is the least common denominator of 1/3 and 4/7?? plsss explain
Answer:
21
Step-by-step explanation:
The smallest number that can go into both 3 and 7 as our denominators is 21. This can be worked about by multiplying them together.
(FYI: In some cases, if the product is even, it may not always work to multiply them together)
Answer:
21
hope this helps
have a good day :)
Step-by-step explanation:
3 multiples are 3, 6, 9, 12, 15, 18, 21, 24
7 multiples are 7, 14, 21, 28
so would need to change both denominators to 21 and multiple 7 and to 1/3 to get 7/21 and 3 to 4/7 to get 12/21
A local steakhouse served 625 customers over a weekend. The distribution of each customer's food purchase is non-normal. The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. Suppose that a random sample of 315 customers are selected from the weekend's customers. Would it be appropriate to model the distribution of the sample mean with a normal model?
No. The mean distribution theorem states that the sampling distribution of the sample mean can only be modeled by the non-normal model because the population distribution is non-normal.
There is not enough information to make assumptions regarding the distribution of the sample mean.
Yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough, regardless of the shape of the population distribution.
No. The central limit theorem states that the sampling distribution of a sample mean can only be modeled by a normal model if the sample size is large enough and the shape of the population distribution is normal.
Yes. The mean distribution theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough regardless of the population distribution.
Answer:
yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Step-by-step explanation:
In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.
The answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Option (B) is correct.
It is required to find the appropriate to model the distribution of the sample.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers.
Given that:
A local steakhouse served 625 customers over a weekend.
The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. random sample of 315 customers are selected from the weekend's customers.
In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.
So, the answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Learn more about arithmetic here:
https://brainly.com/question/23907399
#SPJ2
find the equation of the striaght line passing through (3, 5) which is perpendicular to the line y=3x+2
Answer:
pls provide with a graph
Solve using the quadratic formula
Answer:
-5, -1/2
Step-by-step explanation:
I could only show half of the steps, but you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps.
What is the tangent of 0?
Step-by-step explanation:
tan 0 = 5/ √11 = 5√11 /11
__________
Answer:
5 / √11
Step-by-step explanation:
tan θ = opposite side / adjacent side
tan θ = 5 / √11
reduce the 24 hour clock times in 12 hour clock time add am or pm
Answer:
1) 1:04 am
2) 6:22 pm
3) 6:42 pm
4) 1:30 pm
5) 12:40 pm
6) 5:35 pm
7) 3:24am
8) 11:25 am
9) 6:42 am
10) 9:20 am
Which statement implies that A and B are independent events?
O A. P(B|A) = P(B N A)
O B.
P(BA) = P(B)
P(A)
O C.
P(B|A) = P(A)
OD.
P(BA) = P(B)
Answer:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Step-by-step explanation:
Independent events:
If two events, A and B are independent, the probability of both A and B happening is the same as the probability of A happening multiplied by the probability of B happenings, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this question:
The statement is [tex]P(A \cap B) = P(A)P(B)[/tex]
Geometry work HELP ASAP trying to find the measure of a circumference!!
Answer:
65 degrees
Step-by-step explanation:
Since it is given that AB=DC
then we know that AO=DO and BO=CO because it is the radius of a same circle.
Hence the shapes are equal and thus DOC=65 degree as it serves as a corresponding angle to AOB
4 to the power of -3 as fraction
Answer:
Step-by-step explanation:
4^-3
=1/4^3
=1/64
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
[tex]4^{-3} = 0.015625[/tex]
[tex]0.015625 = \frac{1}{64}[/tex]
from 5 metres of cloth Alexa cut 217 cm how much cloth remaining after cutting
Answer:
2.83 meters
Step-by-step explanation:
Change 217 cm to meter
217 * 1 m/ 100 cm = 2.17 m
5 meter - 2.17 m = 2.83 meters
Answer:
283 cm Or 2.83 m of cloths remaining after cutting.
Step-by-step explanation:
Alexa have a cloth measures 5 metre and she cut 217 cm clothes.As we know that
1 m = 100 cm
so, 5 m = 5 × 100 = 500 cm
Alexa cut 217 cm of clothesSubtract 217 cm from 500 cm
➛ 500 - 217
➛ 283 cm Or 2.83 m
Plz Help more than one !!!!!!!!!!!!!!!!!!
Answer:
The correct option is (b).
Step-by-step explanation:
We need to find the equivalent to -2(4-3x)+(5x-2)
Using the associative property,
-2(4-3x) = -2(4)+2(3x)
= -8+6x
So,
-2(4-3x)+(5x-2) = -8+6x +5x-2
taking like terms together,
-2(4-3x)+(5x-2) = 6x+5x-8-2
= 11x-10
The equivalent expression is equal to (11x-10).
The functions f(x) and g(x) are shown on the graph. f(x)=x² what is g(x)?
[tex]a. \: \: g(x) = ( x - 2) {}^{2} [/tex]
[tex]b. \: \: g(x) = 2 {x}^{2} [/tex]
[tex]c. \: \: g(x) = ( \frac{1}{2} x) {}^{2} [/tex]
[tex]d. \: \: g(x) = (x + 2) {}^{2} [/tex]
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Answer:
b. g(x) = 2x²
Step-by-step explanation:
The vertices of the two curves are in the same place, so no translation has taken place. This eliminates choices 'a' and 'd'.
A point on the curve g(x) is given. You can test to see which of choices 'b' and 'c' it satisfies.
B: g(2) = 2(2²) = 8 . . . . matches point (2, 8)
C: g(2) = (1/2·2)² = 1² = 1 . . . . does not match point (2, 8)
The function g(x) is ...
g(x) = 2x²
Help please!! Step by step!!
Answer:
[tex]P(Ice Cream|Frogtown) = 67.4\%[/tex]
Step-by-step explanation:
Given
The attached plot
Required
P(Ice Cream|Frogtown)
This is calculated as:
[tex]P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}[/tex]
From the attachment;
[tex]P(Ice\ Cream\ n\ Frogtown) = 0.31[/tex]
[tex]P(Frogtown) = 0.31 + 0.15 = 0.46[/tex]
So, we have:
[tex]P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}[/tex]
[tex]P(Ice Cream|Frogtown) = \frac{0.31}{0.46}[/tex]
[tex]P(Ice Cream|Frogtown) = 0.6739[/tex]
Express as percentage
[tex]P(Ice Cream|Frogtown) = 0.6739 * 100\%[/tex]
[tex]P(Ice Cream|Frogtown) = 67.39\%[/tex]
[tex]P(Ice Cream|Frogtown) = 67.4\%[/tex] -- approximated
Pleas help will mark brainlist!
Geometry
This makes a cube because a cube has 6 faces, 8 vertices, and 12 edges.
What is 5x5 answer for a cookie
Answer:
25
Step-by-step explanation:
a rectangular container of length 40cm and width 36cm was filled with 57600cm of water. find the depth of the water in the container.
Answer:
40 cm
Step-by-step explanation:
57600 is the volume here
Because "was filled with 57600cm of water."
- NOTE : Volume can Never change unless There is a Subtracted amount of water That's Removed36 x 40 x n = 57600
n = 40
Determine the values of the parameter s for which the system has a unique solution, and describe the solution. x 1 - 5 sx 2
Answer:
[tex]s \ne \±2[/tex]
[tex]x_1 = \frac{3s - 2}{3(s^2 -4)}[/tex]
[tex]x_2 = \frac{2(s- 6)}{5(s^2 - 4)}[/tex]
Step-by-step explanation:
Given
[tex]3sx_1 +5x_2 = 3[/tex]
[tex]12x_1 + 5sx_2 =2[/tex]
Required
Determine the value of s
Express the equations as a matrix
[tex]A =\left[\begin{array}{cc}3s&5\\12&5s\end{array}\right][/tex]
Calculate the determinant
[tex]|A|= (3s*5s -5 *12)[/tex]
[tex]|A|= (15s^2 -60)[/tex]
Factorize
[tex]|A|= 15(s^2 -4)[/tex]
Apply difference of two squares
[tex]|A|= 15(s -2)(s + 2)[/tex]
For the system to have a unique solution;
[tex]|A| =0[/tex]
So, we have:
[tex]15(s -2)(s+2) = 0[/tex]
Divide both sides by 15
[tex](s -2)(s+2) = 0[/tex]
Solve for s
[tex]s -2 = 0\ or\ s +2 = 0[/tex]
[tex]s = 2\ or\ s = -2[/tex]
The result can be combined as:
[tex]s =\±2[/tex]
Hence, the system has a unique solution when [tex]s \ne \±2[/tex]
Next, we solve for s using Cramer's rule.
We have:
[tex]mat\ x_1 = \left[\begin{array}{cc}3&5\\2&5s\end{array}\right][/tex]
Calculate the determinant
[tex]|x_1| = (3 * 5s - 5 *2)[/tex]
[tex]|x_1| = 15s - 10[/tex]
So:
[tex]x_1 =\frac{|x_1|}{|A|}[/tex]
[tex]x_1 = \frac{15s - 10}{15(s -2)(s+2)}[/tex]
Factorize
[tex]x_1 = \frac{5(3s - 2)}{15(s -2)(s+2)}[/tex]
Divide by 5
[tex]x_1 = \frac{3s - 2}{3(s -2)(s+2)}[/tex]
[tex]x_1 = \frac{3s - 2}{3(s^2 -4)}[/tex]
Similarly:
[tex]mat\ x_2 =\left[\begin{array}{cc}3s&3\\12&2\end{array}\right][/tex]
Calculate the determinant
[tex]|x_2| = 3s * 2 - 3 * 12[/tex]
[tex]|x_2| = 6s- 36[/tex]
So:
[tex]x_2 =\frac{|x_2|}{|A|}[/tex]
[tex]x_2 = \frac{6s- 36}{15(s -2)(s+2)}[/tex]
Factorize
[tex]x_2 = \frac{6(s- 6)}{15(s -2)(s+2)}[/tex]
Divide by 3
[tex]x_2 = \frac{2(s- 6)}{5(s -2)(s+2)}[/tex]
[tex]x_2 = \frac{2(s- 6)}{5(s^2 - 4)}[/tex]
For a left-tailed test, the critical value of z so that a hypothesis test would reject the null hypothesis at 1% significance level would be __________. Answer choices are rounded to the hundredths place. -1.03 -3.09 -2.33 -1.28
Answer:
C.-2.33
Step-by-step explanation:
We are given that
Significance level, [tex]\alpha =1[/tex]%=0.01
We have to find the critical value of z for a left-tailed test.
To find the critical value , we will use the z-table at significance level 0.01 for left-tailed test.
By using the z-table at significance level 0.01 for left-tailed test
The critical value of z at 1% significance level for left-tailed test
=-2.33
We get p-value by using z-critical value
P-value=0.0099<0.01
So, hypothesis test would be reject the null hypothesis at at 1% significance level.
Hence, the critical value of z=-2.33
Option C is true.
Suppose you are depositing an amount today in an account that earns 5% interest, compounded annually. If your goal is to have $5000 in the account at the end of six years, how much must you deposit in the account today?
Answer:
If you walk into a bank and open up a savings account you will earn interest ... include the amount of money deposited called the principal, the annual interest rate ...
Answer:
3731.08
Step-by-step explanation:
let x= the present value (or principle)
[tex]5000=x(1.05)^6\\\frac{5000}{1.05^6}=x\\x=3731.076983[/tex]
Two angles of a triangle measure 22° and 530. What is the measure of the
third angle?
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Answer:
105°
Step-by-step explanation:
The sum of measures of angles in a triangle is 180°. The third angle is ...
180° -22° -53° = 105°
Find the 13th term of the geometric sequence 3 -15 75
Answer:
732,421,875
Step-by-step explanation:
You have to find the pattern which in this case is just multiplying by 5 every absolute number. the negatives are only every other one. from knowing this you just have to find all the numbers until 13 and the 13th term in this sequence is 732,421,875
Below are monthly rents paid by 30 students who live off campus.
590 590 590 790 560 450 550 890 600
480 580 520 420 600 510 520 710 775
460 480 620 550 570 365 590 660 680
700 580 630
Required:
a. Find the mean, median, mode, and standard deviation.
b. Which measure or measures of central tendency are most appropriate for this data set?
c. Do the measures of central tendency agree?
Answer:
Mean = 587
Median = 585
Mode = 590
Standard deviation = 112.538
The mean and the median
Yes, both mean and median have close values
Step-by-step explanation:
Given the data:
365, 420, 450, 460, 480, 480, 510, 520, 520, 550, 550, 560, 570, 580, 580, 590, 590, 590, 590, 600, 600, 620, 630, 660, 680, 700, 710, 775, 790, 890
The mean, m = Σx / n = 17610 / 30
Mean = 587
The median = 1/2(n+1)th term
Median = 1/2(31)th term
Median = 15.5th = (580+590) / 2 = 585
The mode = 590 (observation with highest frequency, 4)
Standard deviation, s = √Σ(x-m)²/(n-1)
s = 112.538
What are the domain and range of the function hx) = 5x+3+1?
-10
8
2.
-10
6
4
-8
10
- 2
6
s
-10
O domain: all real numbers greater than 1
range: all real numbers
O domain: all real numbers
Step-by-step explanation:
domain : i think is x > 4/3
range : y >4
The mapping diagrams below show 4 different relationship between input and output values.
Answer:
A. B and C are functions
Step-by-step explanation:
Given
See attachment for mapping diagrams
Required
Which represent function
For a mapping to be considered a function, each element of the input set must only point to 1 element of the output set.
Base on the above analysis, we have:
Map A
1 points to 6; 2 to 7; 3 to 8; and 4 to 9
This is a function
Map B
2 points to 0; 4 to 0; 6 to 0; and 8 to 0
This is a function
Map C
1 points to 8; 3 to 8; 5 to 9; and 7 to 9
This is a function
Map D
0 points to 2 and 5; 3 points 7 and 9
This is not a function
please help thx with steps
Answer:
440cm³
.45
1.49538 ft
43.6
Step-by-step explanation:
1.
Start by finding the area of the base
.5*(a+b)*h
.5*(8+14)*4= 44
Then just multiply this by distance between the ends
44*10=440
2.)
To get from 2.7 to 9 we muiltply by 9/2.7= 3.33333333
which means that
3.333333333x=1.5
x=.45
3.)
Height:shadow
6.5:1.8
5.4:x
To get from 6.5 to 5.4 we multiply it by (5.4/6.5) or .8307
which means to get from 1.8 to x we muiltply 1.8*.8307= 1.49538
4.)
Same kind of deal as the last one
to get from 13 to 27 we mulitply by (27/13) or 2.076923 which means to get from 21 to x we multuply 21*2.076923=43.6
Here is the answer for the volume of the trapezoidal prism.
We make two rectangular prisms out of the shape, or a rectangular prism and two triangles.
For this case, I'll just do the two prisms.
Here is the formula for volume we'll be using.
V = lwh (shape's volume = length × width × height), or
V = bh (shape's volume = base area × height)
A reference of the rectangular prism can be identified because the length of the horizontal crest is marked at 8 centimeters.
Following V = lwh, we already have the length we need.
The width of the reference prism that doesn't include the diagonal triangular prisms is 10 centimeters.
l = 8 cm
w = 10 cm
And as indicated by the line inside,
h = 4 cm
We'll label this first volume calculation V[tex]_{1}[/tex].
V[tex]_{1}[/tex] = 8 cm × 10 cm × 4 cm
Now for the second volume.
Since two congruent right triangular prisms can come together to equal a second rectangular prism whose volume is two times their original shapes, we can use the same formula
V = lwh
And in order to determine what values are needed, we
subtract the length of the trapezoid's base from the rectangular prism's.And that's it. No adjustments are made in the width or height. Those measurements are equal to the reference rectangular prism (center prism).
14 cm - 8 cm = 6 cm
l = 6 cm
w = 10 cm
h = 4 cm
This part of the enumeration will be V[tex]_{2}[/tex].
V[tex]_{2}[/tex] = 6 cm × 10 cm × 4 cm
V[tex]_{1}[/tex] + V[tex]_{2}[/tex] = V[tex]_{t}[/tex], or the actual volume of the trapezoidal prism.
(8 cm × 10 cm × 4 cm) + (6 cm × 10 cm × 4 cm) = 320 cm + 240 cm = 560 cm.
You round to 2 decimal places, so V[tex]_{t}[/tex] = 560.00 cm.
2. x = 0.45[tex]\frac{2.7}{x} = \frac{9.0}{1.5}[/tex]
Let's look at the right side.
9.0, or 9, divided by 1.5 equals 6.
Now your equation looks like
[tex]\frac{2.7}{x} = 6[/tex]
You want to get the variable x by itself so that there aren't any real number values that stop the proportion from being simplified.
So, we multiply x on both sides.
[tex]\frac{2.7}{x}[/tex] * [tex]x[/tex] = [tex]6[/tex] * [tex]x[/tex]
On the left side of the = sign, the x on the denominator is being cancelled out.
Now it looks like
[tex]2.7 = 6[/tex] * [tex]x[/tex]
Divide 6 from both sides to cancel the 6 from the right side and get the new value of x by itself.
2.7 ÷ 6 = 0.45
0.45 is already in the hundredths, so there's no need to round up or down.
3. Height of tree = 19.5 ftAll you have to do here is find the ratios of the two figures to their shadows.
It's going to look like the [tex]2^{nd}[/tex] problem because all we're doing is finding the missing variable.
[tex]\frac{h}{s}[/tex] will represent the height-shadow ratio.
For a 6.5-foot human to cast a 1.8-foot shadow,
[tex]\frac{h}{s}_1 = \frac{6.5}{1.8}[/tex]
6.5 ft ÷ 1.8 ft ≅ 3.611
All we have to do now is find a tree height that divides by its shadow, 5.4, to get roughly 3.611.
We can solve that by multiplying 3.611 with the shadow's height.
3.611 * 5.4 = 19.5
The tree is 19.5 feet tall.
4. x = 43.6
These two triangles aren't congruent, but similar.
Like the last two problems, finding the ratio between the sides is key to solving the problems.
This time, the ratios of the two given sides for each triangle will let us solve the side-side-side (SSS) rule, if we take it a step further and use the Pythagorean Theorem. For now, just solve the target of the problem.
[tex]\frac{27}{13} = \frac{x}{21}[/tex]
27 ÷ 13 = 2.077
[tex]2.077 = \frac{x}{21}[/tex]
[tex]2.077[/tex] * 21 = [tex]\frac{x}{21}[/tex] * 21
Cancel the 21s from the denominator and factor on the right side.
43.617 = x
x = 43.6 because you round to one decimal.
In a random sample of students who took the SAT test, 427 had paid for coaching courses and the remaining 2733 had not. Calculate the 95% confidence interval for the proportion of students who get coaching on the SAT .
Answer:
The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
427 had paid for coaching courses and the remaining 2733 had not.
This means that [tex]n = 427 + 2733 = 3160, \pi = \frac{427}{3160} = 0.1351[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1351 - 1.96\sqrt{\frac{0.1351*0.8649}{3160}} = 0.1232[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1351 + 1.96\sqrt{\frac{0.1351*0.8649}{3160}} = 0.147[/tex]
The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).
