Answer:
5,326
Step-by-step explanation:
223,692 ÷ 42 = 5,326
Write an expression
Nine more than the quotient of two and a number x
Answer:
2/x + 9
Step-by-step explanation:
Find the 10th term of the geometric sequence 10, –20, 40, ...
Answer:
-5120
Step-by-step explanation:
pls answer this..need it ASAP
A fair six-sided number cube is rolled 60 times. What is the probability that fewer than 10% of the rolls are a five?
Find the z-table here.
Answer:
0.0823 = 8.23% probability that fewer than 10% of the rolls are a five
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use 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
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex].
A fair six-sided number cube is rolled 60 times.
This means that [tex]n = 60[/tex]
Rolls that are a five:
For each roll, there are 6 possible outcomes: 1, 2, 3, 4, 5 or 6. So the probability of rolling a five is:
[tex]p = \frac{1}{6} = 0.1667[/tex]
The distribution has mean and standard deviation:
[tex]\mu = p = 0.1667[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.1667*(1-0.1667)}{60}} = 0.0481[/tex]
What is the probability that fewer than 10% of the rolls are a five?
This is the pvalue of Z when X = 0.1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.1 - 0.1667}{0.0471}[/tex]
[tex]Z = -1.39[/tex]
[tex]Z = -1.39[/tex] has a pvalue of 0.0823
0.0823 = 8.23% probability that fewer than 10% of the rolls are a five
Answer: 0.082
Step-by-step explanation:
answer these 3 questions ASAP pls..
a. Is 15 a multiple of 4?
is 4 a factor of 15
b. Is 20 a multiple of 5?
Is 20 a factor of 5?
c. is 100 a multiple of 8
is 8 a factor of 100?
thank u for doing this makin you brainliest..........(loadin)
Which expression has 3 terms?
ОА
2(1 - 3x) + 4x - 5
B
2x(3x + 4) - 5
с
3x - 3
D
2x(1 - 3x)
Answer:
Step-by-step explanation:
B
if you multiply you will have
6x^2+8x-5
The answer to this problem
Answer:
B. [tex] \frac{7\sqrt{2}}{34} [/tex]
Step-by-step explanation:
Cos θ = Adjacent/hypotenuse
Adjacent = 7
Hypotenuse = √(23² + 7²) = √578 = 17√2
Thus:
Cos θ = [tex] \frac{7}{17\sqrt{2}} [/tex]
Rationalize
Cos θ = [tex] \frac{7*\sqrt{2}}{17\sqrt{2}*\sqrt{2}} [/tex]
Cos θ = [tex] \frac{7\sqrt{2}}{17*2} [/tex]
Cos θ = [tex] \frac{7\sqrt{2}}{34} [/tex]
NOTE: Angles not necessarily drawn to size . what is x?
Answer: 45
Step-by-step explanation: 160-115= 45 you do this because the angles are across the vertex from each other.
Answer:
X=45
Step-by-step explanation:
Method 1 ( the long one)
So AED and CEB are vertical angles, that means that the are the same and have the same value.
So 115 plus x equal 160.
115 + x = 160
from there we just have to subtract 115 from both sides to get x by itself.
115 + x = 160
-115 -115
_________________
x=45
Method 2 (short one
If you know that those are vertical angles, then just subtract 115 from 160 and there you go. You get 45.
If you know that a line has a slope of 2/3 and a y-intercept of 7, what is the equation for that line in slope-intercept form?
slope intercept form is y=mx+b
so slope is 2/3
so ur answer is y=2/3x+7
thx
hope u have a good day
byee
:)
In this picture, the measure of angle ois 1 radian.
Answer:
False
Step-by-step explanation:
s and r are the arc length and radius, respectively.
θ = s÷r = 2÷2.5 = 0.8 radian
Joshua unfolded a cardboard box. The figure of the unfolded box is shown below 3 inches 3 inches Which calculation will give the total surface area of the cardboard in square inches, that make the box?
A. 6 x 3 x 3
B. 3 x 6 x 6
C 9 x 6 x6
D 6 x 9 x o
Answer:
A
Step-by-step explanation:
6x3x3 equals 54 which is also the total surface area of the rectangle.
Answer:
Answer choice = A. 6 x 3 x 3
Need help ASAP thank you
Answer:
7 pairs of socks
Step-by-step explanation:
4.5x + 80 [tex]\leq[/tex] 115
4.5x [tex]\leq[/tex] 35
dividing 35 by 4.5 gives us 7.78, making 7 our greatest whole number, representing the maximum number of socks that Munir can buy.
I have already answered number 3 on your other question.
Enormous State University's Math Department offers two courses: Finite Math and Applied Calculus. Each section of Finite Math has 60 students, and each section of Applied Calculus has 50 students. The department will offer a total of 110 sections in a semester, and 6,000 students would like to take a math course. How many sections of each course should the department offer in order to fill all sections and accommodate all of the students
Answer:
the department should offer 50 sections of finite math and 60 section of applied calculus in order to fill all sections and accommodate all of the students
Step-by-step explanation:
Given the data in the question'
let x represent number of sections of finite math while y represent number of section of applied calculus.
as 6000 student will like to take math course;
in each section, finite math has 60 students while applied calculus has 50 students
so;
60x + 50y = 6000 --------------lets this be equ 1
we also know that; there are 110 sections in a semester
so;
x + y = 110 ------------------ let this be equ 2
multiply equation 2 by ( - 60 )
-60x + -60y = -6600 --------------- let this be equ 3
now lets add equation 1 and 3
0 - 10y = -600
-10y = -600
divide both sides by (-10)
-10y/-10 = -600/-10
y = 60
now lets substitute value of y in equation 2
x + 60 = 110
x = 110 - 60
x = 50
Therefore, the department should offer 50 sections of finite math and 60 section of applied calculus in order to fill all sections and accommodate all of the students
about 56 of every 700 picture frame put togther on an assmbley line have broken pieces of glass if 60,000 picture frames are assembled each month about how many will have broken pieces of glass
9514 1404 393
Answer:
4800
Step-by-step explanation:
Let b represent the number with broken glass. Apparently, the ratio is constant, so ...
b/60000 = 56/700
b = 60000(56/700) = 4800
About 4800 picture frames will have broken glass each month.
Alexis purchased a combination of daisies and tulips for her friend's birthday party. Both types of flowers cost $4 per bundle, and she spent $76. Alexis purchased 12 bundles of tulips. How many bundles of daisies did she buy?
Answer:
7 daisies
Step-by-step explanation:
76 ÷ 4 =19
19 - 12 = 7
7 daisies
2x^2y term, constant, and coefficient pls help me pls
Answer:
16.2
Step-by-step explanation:
because 3x2=6
I AM SOOOO SORRY IF I GET IT WRONG
If you have $23 and you spend $5 on a sandwich, drink, and chips, what fraction of your money did you spend?
Answer:
you spent 5/23 of your money
Step-by-step explanation:
5/23- you can't simplify this fraction.
Convert 9.25 to a fraction in simplest form.
25
10
b9
25
1100
c.9
름
d9
25
150
I need someone really good at math to help me please!! A home is purchased for $394,000 with a 14% down payment. Find the monthly payment if the mortgage has a 7.2% interest rate for 30 years.
9514 1404 393
Answer:
$2300.01
Step-by-step explanation:
The down payment is 14% of $394,000, so is ...
0.14 × $394,000 = $55,160
This means the principal amount of the loan is ...
$394,000 -55,160 = $338,840
__
The amount of the monthly loan payment is given by the amortization formula ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where P is the principal amount, r is the annual interest rate, and t is the number of years. Filling in the values, we have ...
A = $338,840(0.072/12)/(1 -(1 +0.072/12)^(-12·30))
= $338,840(0.006)/(1 -(1.006^-360)) = $2300.01
The monthly payment is $2300.01.
_____
Additional comment
Such calculations are commonly done using a spreadsheet, financial calculator, or app. If you're doing a number of financial calculations, it can be a good idea to obtain and learn to use an appropriate tool.
Solve for x and y. Screenshot included. Provide correct answer with work for 58 points and maybe brainliest answer!
Answer: x=70, y=20
Step-by-step explanation:
From the equilateral triangle, we know that 2y+10=x-y, as all sides must measure the same length.
From the isosceles triangle, we know that x° is 70°, because all triangles must add up to 180°.
70-y=2y+10
Solve for this, and y=20
A calendar reseller purchases calendars for $5 each and applies a 14.50% markup on selling price. What is the selling price of each calendar?
Answer:
$7.25
Step-by-step explanation:
I'm pretty sure I'm correct. Hope this helps and have a nice day!
Brandon had 349 blueberry muffins and 483 chocolate chip muffins. On Tuesday,
his friend came over and took 271 chocolate chip muffins. How many chocolate
chip muffins does Brandon have left? *
Answer: 212 chip muffins
Step-by-step explanation:
483
- 271
----------
212
What's the hardest math question you have ever seen?
Answer:
This one:
The equation
24x2+25x−47
ax−2
=−8x−3−
53
ax−2
is true for all values of x≠
2
a
, where a is a constant.
What is the value of a?
A) -16
B) -3
C) 3
D) 16
One method for estimating the availability of office space in large cities is to conduct arandom sample of offices, and calculate the proportion of offices currently being used. Suppose that realestate agents believe that p = 0.70 of all offices are currently occupied, and decide to take a sample toassess their belief. They are considering a sample size of n = 40.a)
a. Show that this sample size is large enough to justify using the normal approximation to thesampling distribution of p.
b. What is the mean of the sampling distribution of p if the real estate agents are correct?
c. What is the standard deviation of the sampling distribution of p if the real estate agents arecorrect?
d. If the real estate agents are correct, what is the probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05?
Answer:
a) Since np >= 5 and n(1-p) >= 5, the approximation is justified
b) 0.7
c) 0.0725
d) 0.5098 = 50.98% probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05
Step-by-step explanation:
We use the normal distribution and the central limit theorem to solve this question.
Normal probability distribution
When the distribution is normal, we use 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
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question, we have that:
[tex]p = 0.7, n = 40[/tex]
a. Show that this sample size is large enough to justify using the normal approximation to thesampling distribution of p.
We need that: np >= 5, n(1-p) >= 5. So
np = 40*0.7 = 28 > 5
n(1-p) = 40*0.3 = 12 > 5
Since both conditions are satisfied, the approximation is justified.
b. What is the mean of the sampling distribution of p if the real estate agents are correct?
This is [tex]\mu = p = 0.7[/tex]
c. What is the standard deviation of the sampling distribution of p if the real estate agents are correct?
This is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.7*0.3}{40}} = 0.0725[/tex]
d. If the real estate agents are correct, what is the probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05?
This is the pvalue of Z when X = 0.7 + 0.05 = 0.75 subtracted by the pvalue of Z when X = 0.7 - 0.05 = 0.65. So
X = 0.75
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.75 - 0.7}{0.0725}[/tex]
[tex]Z = 0.69[/tex]
[tex]Z = 0.69[/tex] has a pvalue of 0.7549
X = 0.65
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.65 - 0.7}{0.0725}[/tex]
[tex]Z = -0.69[/tex]
[tex]Z = -0.69[/tex] has a pvalue of 0.2451
0.7549 - 0.2451 = 0.5098
0.5098 = 50.98% probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05
A store warehouses 40 more portables than big screen TVs sets and 15 more consoles than big screen sets. Storage cost for the different TVs sets are shown in the table. If storage costs 302 per month how many big screen sets are in stock
Answer:
14 sets
Step-by-step explanation:
Let the number of big screen TV sets be---------x
Portable TV screen sets will be-------x + 40
Console TV sets will be---------- x + 15
The total cost of storage per month is : $302
The equation for total cost is;
7.50 x + 4{ x+15} + 1.50 { x+40 } = 302
7.50x + 4x + 60 + 1.50 x + 60 =302
13x = 302- 120
13x = 182
x = 14
What is the lateral surface area?
Answer:
18ft
Step-by-step explanation:
I don't know if it right but this is how i got my answer
I divide 12/8 and got 1.5
I multiplied 12 x 1.5 and got 18.
Find x. Round to the nearest tenth.
32
410
Х
Answer:
3690
Step-by-step explanation:
it has the nearest tenth value is 90
Can someone help me on this question? Will mark brainliest
Answer:um.... I think bc
Step-by-step explanation:
Find values of 0 in the interval [0°,360º) if csc 0 = -2
Answer:
210 degree
Step-by-step explanation:
We are given that
[tex]csc\theta=-2[/tex]
We have to find the value of theta in in the interval [0,360)
We know that
[tex]csc30^{\circ}=2[/tex]
But the value of [tex]csc\theta[/tex] is negative .
We know that
csc is negative in third and forth quadrant
Therefore, the angle [tex]\theta[/tex] lies in third because 180+30=210
Third quadrant from 180 to 270 degree
[tex]csc(180+30)=-csc(30^{\circ})=-2[/tex]
By using
[tex]csc(\pi+\theta)=-csc\theta[/tex]
Hence, the value of [tex]\theta[/tex] in the interval [0°,360º) =210 degree
Please help with these 3 math questions :)
Answer:
$400, 11.4%, yes $38
Step-by-step explanation:
