Answer:
The least common multiple of $6!$ and $(4!)^2.$
is 6×4! or 144
In a survey of 300 T.V. viewers, 40% said they watch network news programs. Find the margin of error for this survey if we want 95% confidence in our estimate of the percent of T.V. viewers who watch network news programs.
Answer:
0.05543Step-by-step explanation:
The formula for calculating the margin of error is expressed as;
[tex]M.E = z * \sqrt{\frac{p*(1-p)}{n} }[/tex] where;
z is the z-score at 95% confidence = 1.96 (This is gotten from z-table)
p is the percentage probability of those that watched network news
p = 40% = 0.4
n is the sample size = 300
Substituting this values into the formula will give;
[tex]M.E = 1.96*\sqrt{\frac{0.4(1-0.4)}{300} }\\ \\M.E = 1.96*\sqrt{\frac{0.4(0.6)}{300} }\\\\\\M.E = 1.96*\sqrt{\frac{0.24}{300} }\\\\\\M.E = 1.96*\sqrt{0.0008}\\\\\\M.E = 1.96*0.02828\\\\M.E \approx 0.05543[/tex]
Hence, the margin of error for this survey if we want 95% confidence in our estimate of the percent of T.V. viewers who watch network news programs is approximately 0.05543
What is the product?
Answer: A
Step-by-step explanation:
When multiplying matrices, find the sum of the product of the terms in the first row of the first matrix with the terms in the first column of the second matrix. Repeat for each row and column.
[tex]\left[\begin{array}{cc}a&c\\b&d\end{array}\right] \times \left[\begin{array}{cc}w&y\\x&z\end{array}\right]=\left[\begin{array}{cc}aw+cx&ay+cz\\bw+dx&by+dz\end{array}\right]\\\\\\\left[\begin{array}{cc}-3&4\\2&-5\end{array}\right]\times \left[\begin{array}{cc}3&-2\\1&0\end{array}\right]\\\\\\=\left[\begin{array}{cc}-3(3)+4(1)&-3(-2)+4(0)\\2(3)-5(1)&2(-2)-5(0)\end{array}\right]\\\\\\=\left[\begin{array}{cc}-5&6\\1&-4\end{array}\right][/tex]
From 1985 to 2007, the number B B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 B(t)=-329.4t+13747 where t is the year and t=0 corresponds to 1985. How many federally insured banks were there in 1990?
Answer:
12100
Step-by-step explanation:
If the number B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 from 1985 to 2007 where t = 0 correspond to year 1985
In order to determine the amount of federally insured banks that were there in 1990, we will first calculate the year range from initial time 1985 till 1990
The amount of time during this period is 5years. Substituting t = 5 into the modeled equation will give;
B ( t ) = − 329.4 t + 13747
B(5) = -329.4(5) + 13747
B(5) = -1647+13747
B(5) = 12100
This shows that there will be 12100 federally insured banks are there in the year 1990.
A savings account has a rate of 2.25% . Find the effective annual yield of interest is compounded quarterly
Answer:
The effective yield is 2.269% to the thousandth.
Step-by-step explanation:
Effective annual yield compounded quarterly, given API
(1+API/4)^4 - 1
= (1+0.0225/4)^4 - 1
= 0.022691
The perimeter of △ABC equals 26 in and the midpoints of the sides are M, N and K. Find the perimeter of △MNK.
Answer:
13 in.
Step-by-step explanation:
Theorem:
The segment that joins the midpoints of two sides of a triangle is parallel to the third side and half the length of the third side.
Each side of triangle MNK has as endpoints two midpoints of sides of triangle ABC, so each side of triangle MNK is half the length of a side of triangle ABC.
p = 26 in./2 = 13 in.
3 solutions for x<-2
Answer:
-3,-4,-5
Step-by-step explanation:
those are all numbers less than -2! your welcome! please give me brainliest!
Answer: -3, -16, and -642,000
Step-by-step explanation: In this problem, we're asked to state three solutions for the following inequality, x < -2.
The inequality x < -2 means that any number
less than -2 is a solution to the inequality.
For example, -3 is a solution because -3 is less than -2.
Another solution would be -16 because -16 is less than -2.
One other solution would be -642,000 because it's less than -2.
It's important to understand that these are only 3 possible
answers and there are many answers to choose from.
pleaseeee helppppp meeeee pleaseeeeee
Answer:
(28/33+28 ) *100
Step-by-step explanation:
(28/33+28 ) *100
(28/61)*100
Answer:
it's 2
Step-by-step explanation:
I did it before
A train covers certain distance in two parts. Distance covered in first part is 200% more than the distance covered in second part while speed of train is in the ratio 2 : 1 in first and second part respectively. If average speed of train is 64 km/hr, then find the speed of train in first part? (in kmph)
Answer:
Part A speed=96*2=192km/h
Step-by-step explanation:
Two parts, parts A and part B
Part A=200% more than B
Let part B=x
Part A=200 more than B
=2x
Speed ratio=2:1
Average speed of train=64km/h
Let Part A speed=2x
Part B speed=x
A:B=2:1
Total ratio =3
Speed in the part A can be calculated thus:
Totatl speed= ratio of speed in part A / total ratio
64=2x/3
192=2x
x=96km/h
Part A speed=96*2=192km/h
help me plz I really dont get it
HELP ASAP PLEASE (25 POINTS) Solve and reduce if possible. 5/12 − 7/8 = ?
Answer:
-11/24
Step-by-step explanation:
5/12 - 7/8
We need to get a common denominator of 24
5/12 *2/2 - 7/8 *3/3
10/24 - 21/24
-11/24
Answer:
-11/24
Step-by-step explanation:
Well to solve 5/12 - 7/8 we need to find the LCM.
12 - 12, 24, 36, 48
8 - 8, 16, 24, 32, 40
So the LCM is 24.
Meaning we need to make both denominators 24.
12*2 = 24 5*2 = 10
10/24
8*3 = 24 7*3 = 21
21/24
10/24 - 21/24
= -11/24
Thus,
the answer is -11/24.
Hope this helps :)
10 points + brainliest... IF you can tell me if I'm right or wrong! (no explanation needed but the person with most explanation will get brianleist)
Answer:
All correct
Step-by-step explanation:
All proposed answers correct, and well indicated in set notation.
What is the converse of r->(~q v p)
Answer:
[tex]r => (\neg q \ \lor p) \ \equiv \ q \ \land \ \neg p => \neg r[/tex]
Step-by-step explanation:
In general, remember that the converse of [tex]a => b[/tex] is [tex]\neg b => \neg a[/tex] , therefore in this case [tex]a = r \ \ , b = \neg q \ \lor p[/tex]
so [tex]r => (\neg q \ \lor p) \ \equiv \ q \ \land \ \neg p => \neg r[/tex]
A bag contains ten tiles labeled B, C, D, E, F, G, H, I, J, and K. One tile will be randomly picked.
What is the probability of picking a vowel?
Write your answer as a fraction in simplest form.
Answer:
1/5
Step-by-step explanation:
B, C, D, E, F, G, H, I, J, K. = 10 tiles
E and I are vowels
P ( vowel) = vowels/ total
=2/10
= 1/5
In total, we are given 10 letters.
The vowers are; A, E, I, O, and U
In the bag, we can see we have 2 vowels (E and I)
This means that 2 out of the 10 letters are vowels (2/10).
We can simplify the fraction by dividing by 2.
2÷2/10÷2
1/5
Therefore, the answer is 1/5.
Best of Luck!
What is an equation of the line that is parallel to y=3x-8 and passes through the point (4, -5)
Hi there! :)
Answer:
y = 3x - 17.
Step-by-step explanation:
To write an equation parallel to y = 3x - 8, we need the slope as well as the coordinates of a point to solve for the "b" value in y = mx + b:
A line parallel to y = 3x - 8 contains the same slope, or m = 3.
Plug in the coordinates in (4, -5) into "x" and "y" in the equation y = mx + b respectively:
-5 = 3(4) + b
-5 = 12 + b
Simplify:
-5 - 12 = b
b = -17.
Rewrite the equation:
y = 3x - 17.
pls answer for my little friend A paperweight in the shape of a rectangular prism is shown (in the picture) If a cross section of the paperweight is cut parallel to the base, which shape describes the cross section? Rectangle Triangle Parallelogram Hexagon (DO NOT look answers up on another brainly answer pls)
Answer:
Hey there!
The cross section would be a rectangle. No matter where you cut the figure parallel to the base, the cross section would be a rectangle.
Let me know if this helps :)
Answer: Rectangle
Step-by-step explanation:
In a rectangular prism, every cross-section parallel to a side is a rectangle.
Hope it helps <3
PLLZZZZ help me find x you are AWSOME!! I need this ASAP
Answer:
27°
Step-by-step explanation:
D is 72° because it alternates with B, alternate angles are equal.
2x+72°+2x= 180° because it is a straight line.
4x+72°=180°
4x=108°
x=27°
Various studies indicate that approximately 11% of the world's population is left handed. You think this number is actually higher. You take an SRS of 225 people and find that 31 of them are left handed. Test your claim at the 5% significance level.
A. State your null and alternative hypotheses.
B. Sketch the rejection region.
C. Calculate the test statistic.
D. Determine the P-value for your test.
Answer:
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
d. z= 1.3322
Step-by-step explanation:
We formulate our hypothesis as
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
According to the given conditions
p`= 31/225= 0.1378
np`= 225 > 5
n q` = n (1-p`) = 225 ( 1- 31/225)= 193.995> 5
p = 0.4 x= 31 and n 225
c. Using the test statistic
z= p`- p / √pq/n
d. Putting the values
z= 0.1378- 0.11/ √0.11*0.89/225
z= 0.1378- 0.11/ √0.0979/225
z= 0.1378- 0.11/ 0.02085
z= 1.3322
at 5% significance level the z- value is ± 1.645 for one tailed test
The calculated value falls in the critical region so we reject our null hypothesis H0 : p ≤ 0.11 and accept Ha : p >0.11 and conclude that the data indicates that the 11% of the world's population is left-handed.
The rejection region is attached.
The P- value is calculated by finding the corresponding value of the probability of z from the z - table and subtracting it from 1.
which appears to be 0.95 and subtracting from 1 gives 0.04998
Dose anyone know the answer to this question?
Answer:
-3
Step-by-step explanation:
-3k / ( k-2) + 6 / ( k-2)
since the denominators are the same we can add the numerators
(-3k+6) / ( k-2)
Factor out -3
-3 ( k-2)/ ( k-2)
Cancel like terms
-3
Answer:
[tex]\boxed{\sf -3}[/tex]
Step-by-step explanation:
The denominators are same. Add fractions.
[tex]\displaystyle \sf \frac{-3k+6}{k-2}[/tex]
Factor out the expression in the numerator.
[tex]\displaystyle \sf \frac{-3(k-2)}{k-2}[/tex]
Cancel common terms.
[tex]\displaystyle \sf \frac{-3}{1}=-3[/tex]
Which statement is false?
OA. The inequality sign always opens up to the larger number.
OB. The greater number in an inequality is always above the other number on the vertical number line.
OC. The smaller number in an inequality is always located to the left of the other number on the horizontal number line.
OD.
The inequality sign always opens up to the smaller number.
Answer:
OD is false, because it condradicts OA, and we know that OA is true, I mean, we write 2<3
Answer
The inequality sign always open up to the smaller number
The answer is D
How many times will the digit '3' appear if we write a all whole numbers from 1 to 99?
Answer:
20
Step-by-step explanation:
The number 3 will appear in the numbers 3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 43, 53, 63, 73, 83, 93. In these numbers it appears 20 times.
Simply this expression (3 + 2i)^2
Answer:
5 + 12i
Step-by-step explanation:
(3 + 2i)^2 = (3 + 2i)(3 + 2i) = 9 + 6i + 6i + 4i^2 = 9 + 12i - 4 = 5 + 12i
Answer:
5 + 2i
Step-by-step explanation:
since [tex]\sqrt{-1} = i[/tex]
Use the perfect square formula ( a + b )^2
= 3^2 + 2 · 3 · 2i + (2i)^2
= 5 + 2i
or,
[tex]5+2\sqrt{-1}[/tex]
Solve for x. a) 10 b) 12 c) 13 d) 11
Answer:
A : 10
Step-by-step explanation:
Answer:
the correct answer is 12
Step-by-step explanation:
6/8=9/x
cross multiply
6x=72
divide by six
x=12
Find the value of x in the triangle shown below
Answer:
62 degrees
Step-by-step explanation:
As two sides shown are same in length thus angle containing by them will be also same.
Thus, other unmarked angle will also be x degrees.
one angle is 56 degrees
we know that sum of angle of triangle is 180 degrees.
Thus
x + x + 56 = 180
2x + 56 = 180
2x = 180 - 56 = 124
x = 124/2 = 62
Thus, value of x is 62 degrees.
The letters G, E, N, I, D, S are placed in a bag. What is the probability that the letters are randomly pulled from the bag in the order that spells DESIGN?
Answer:
The probability of randomly pulling from the bag in the order that spells DESIGN = 1/720
= 0.001389 or 0.1389%
Step-by-step explanation:
The letters placed in a bag = 6
The different ways to choose six letters are a permutation without repetition
And permutation without repetition
= 6 x 5 x 4 x 3 x 2 x 1 = 720 ways
Therefore, the probability of randomly pulling from the bag in the order that spells DESIGN
= 1/720
= 0.001389 or 0.1389%
Probability is defined as the chance that the spelling DESIGN will be pulled from a bag containing the letters: G, E, N, I, D, S, which has 720 ways to choose the letters.
Dilate the line segment AB with endpoints A(–3,1) and B(4,–2) about the origin with a scale factor 3. Find the endpoints of the dilated line segment. Question 24 options: A′(–3,1), B′(12,–6) A′(0,4), B′(7,1) A′(–9,3), B′(4,–2) A′(–9,3), B′(12,–6)
Answer:
Step-by-step explanation:
To do the dilation, simply multiply each coordinate by the scale factor. That is
(-3,1)*3 = (-9,3) and (4,-2) * 3 = (12,-6). So the new points are A'(-9,3) and B'(12,-6)
A group of students were asked to choose their favorite course. The results are shown in the two-way frequency table. Which of the following can be concluded from the joint and marginal frequencies of the table? Math is the most popular subject in the 10th grade. History is the least popular subject in the 9th grade. Science is more popular than math among 12th grade students. Students in the 11th grade like English more than students in the 12th grade. The overall favorite course is history.
A.) III and IV only
B.) II and V only
C.) I, III, and V
D.) II and IV only
The answer is C.) I, III, and V
The statement 1, 2, and 5 will be correct hence option (C) will be correct.
What is a frequency table?A frequency table is a list of objects with the frequency of each item shown in the table.
In other words, a frequency table is a table in which we have some data and their frequency.
The frequency of an occurrence or a value is the number of times it happens.
In option (C)
1st statement;
Math is the most popular subject in the 10th grade.
In 10th grade, maths is 104 rest are less so it is correct.
3rd statement;
Science is more popular than math among 12th-grade students.
The number of science lovers in the 12th is 78
The number of maths lovers in 12th is 52
So it is also correct.
5th statement;
Overall favorite course is history.
A number of overall favorite courses is history = 403 which is higher than others hence it is also correct.
So option (C) is correct rest are incorrect.
To learn more about the frequency table
brainly.com/question/12576014
#SPJ5
For the functions f(x)=−7x^2−x and g(x)=9x^2−4x, find (f−g)(x) and (f−g)(1)
Answer:
See below.
Step-by-step explanation:
[tex]f(x)=-7x^2-x\\g(x)=9x^2-4x\\(f-g)(x)=f(x)-g(x)\\(f-g)(x)=(-7x^2-x)-(9x^2-4x)\\(f-g)(x)=-7x^2-x-9x^2+4x\\(f-g)(x)=-16x^2+3x\\\\(f-g)(1)=-16(1)^2+3(1)\\(f-g)(1)=-16+3=-13[/tex]
The world's largest university (by enrollment) is University A, followed by University B. If the enrollment in University A is 3.5 million more students than University B and their combined enrollment is 9.5 million students, find the enrollment for each university?
A retailer charges a flat handling fee of $5.00, plus $0.75 per quarter pound, to ship an item. Bailey pays $9.50 to have an item shipped from the retailer. What is the weight of the item? A- 1.50 pounds B- 1.75 pounds C- 3.75 pounds D- 6.00 pounds
Answer:
D. 6 pounds
Step-by-step explanation:
$9.50-$5.00=$4.50; $4.50/$0.75= 6 pounds
Answer:
A - 1.50 pounds
Step-by-step explanation:
a) John is 3 years older than his brother Brian, the product of their ages is 54 i) Express this information in equation form ii) Show this information as a quadratic equation iii) Hence, solve the equation to find their individual ages
Answer:
Brian is 6 years old, John is 9 years old
Step-by-step explanation:
i.
J = 3 + B
J x B = 54
ii.
(3 + B) x B = 54
B² + 3B = 54
iii.
(B + 9)(B - 6) = 0
B = -9 or 6 -- -9 is irrational as one cannot be negative years old
Brian = 6 years old; therefore, John = 9 years old