Answer:
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
Step-by-step explanation:
Meaning of a confidence interval:
A x% confidence interval being between a and b means that we are x% sure that the true population proportion is between a and b.
In this question:
Sample of 600, proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:
From the concept of confidence interval above, the correct answer is:
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
Which angle is vertical to
(Will reward)
An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, how high is the roof in the drawing?
9.19 inches.
5.2 inches.
8.13 inches.
19.23 inches.
Please help!!!
Answer:
5.2
Step-by-step explanation:
I took the Quiz.
If An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, then the roof is 8.13 high in the drawing.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts.
Based on the given conditions formulate 1.25÷10=1+x
If the fraction is defined, the denominator cannot equal 0,x≠0
Append the inequality as the domain x≠0
Multiply both sides by the common denominator:
1.25×10x/10=10x/x
Reduce the fractions: 5x/4=10
5x=40
x=8
It is approximately near to 8.13 inches.
Hence, 8.13 inches high is the roof in the drawing.
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3 cousins are named Jasmine and Kyra and Louisa.
Jasmine is 3 years younger than twice Kyra's age.
Louisa is 1 year older than a third of Jasmine's age.
Louisa is 4 years old.
How old is Jasmine?
How old is Kyra?
How did you solve this mystery?
Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer
Answer:f
( x ) = x , g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 , g ( x ) = 2 x − 2 f ( x ) = x 2 , g ( x ) = 7 x − 1
in short ways the answer is 7 x − 1
Hence , the sum is [tex]11x^2-8x-14[/tex].
WHAT IS A POLYNOMIALIn mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
How to Solve?Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].
So, we can write it as :
[tex]2x^2 -8x-6+9x^2-8[/tex]
Writing like terms together:
[tex]= 2x^2+9x^2-8x-6-8[/tex]
[tex]=11x^2-8x-14[/tex]
Hence , the answer is [tex]11x^2-8x-14[/tex].
Learn more about Algebraic expressions :
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What are the possible numbers of positive real, negative real, and complex zeros of f(x) = 6x3 − 3x2 + 5x + 9?
Answer:
Positive Roots: 2 or 0
Negative Roots: 1
Step-by-step explanation:
f (x) = 6x3 − 3x2 + 5x + 9
To find the possible number of positive roots, look at the signs on the coefficients and count the number of times the signs on the coefficients change from positive to negative or negative to positive.
f (x) = 6x3 − 3x2 + 5x + 9
Since there are 2 sign changes from the highest order term to the lowest, there are at most 2 positive roots (Descartes' Rule of Signs). The other possible numbers of positive roots are found by subtracting off pairs of roots (2 − 2).
Positive Roots: 2 or 0
To find the possible number of negative r oots, replace x with −x and repeat the sign comparison.
f (−x) = 6(−x)3 − 3(−x)2 + 5 (−x) + 9
Simplify each term.
Apply the product rule to −x.
f (−x) = 6 ((−1)3x^3) − 3(−x)^2 + 5 (−x) + 9
Raise −1 to the power of 3.
f (−x) = 6 (−x^3) − 3(−x)^2 + 5 (−x) + 9
Multiply −1 by 6.
f (−x) = −6x^3 − 3(−x)^2 + 5 (−x) + 9
Apply the product rule to −x.
f (−x) = −6x^3 − 3 ((−1)^2(x^2)) + 5 (−x) + 9
Raise −1 to the power of 2.
f (−x) = −6x^3 − 3 (1x^2) + 5 (−x) + 9
Since there is 1 sign change from the highest order t erm to the lowest, there is at most 1 negative
root (Descartes' Rule of Signs). Negative Roots: 1
The possible number of positive roots is 2 or 0, and the possible number of negative roots is 1. Positive Roots: 2 or 0
Negative Roots: 1
The area of the parallelogram below is ____ square meters.
Answer:
45 cm2
Step-by-step explanation:
your welcome I guess?
im doing the same test btw
EDIT: i finished my test this answer is wrong. pls do search for a different answer. because mine is wrong.
Enter 72% as a fraction in the simplest form
Answer:
18/25
Step-by-step explanation:
72% = 72/100
72/100 simplified
=18/25
What is 23.93 in to a percent pls help pls pls pls pls pls
Answer:
it is : 2393%
Step-by-step explanation:
completely factor 7x^2 - 4x - 3
Answer:
(7x+3) (x-1)
hope this helps!!:)
Step-by-step explanation:
Bryan has a number cube and
the spinner shown. What is
the probability of rolling a
prime number and spinning
yellow?
01/12
01/8
Answer:
1/8
Step-by-step explanation:
That's the same assignment I have and you just have to think it through mate.
WILL MARK BRAINLYIST
Answer:
what's the question
Step-by-step explanation:
lol but u could mark me brainlyist
Answer:
.....................................
Step-by-step explanation:
The ratio of tea drinkers to soda drinkers at a university is 7:4. There are 38 soda drinkers. How many tea drinkers are there?
Show the correct work. Set- up the proportion. Show the correct answer.
NAME
7. Factor each quadratic expression,
Step-by-step explanation:
x² - 2x - 35 = (x - 7)(x + 5).
x² + 3x - 54 = (x + 9)(x - 6).
x² - 4x + 4 = (x - 2)².
x² - 121 = (x + 11)(x - 11).
2x² + x - 15 = (2x - 5)(x + 3).
6x² - 7x - 24 = (3x - 8)(2x + 3).
3x² - 10x + 8 = (3x - 4)(x - 2).
10x² + 9x - 9 = (5x - 3)(2x + 3).
12x² + 25x + 12 = (4x + 3)(3x + 4).
15x² - x - 6 = (5x + 3)(3x - 2).
The following stemplot displays the number of forest fires (the stem is in tens of thousands) that occurred each year over the period from 1980 to 2012.
4 | 024477889
5 | 001222234477888
6 | 02378
7 | 348
How many data values are in this data set?
Answer:
32 values
Step-by-step explanation:
Given the stem. Plot :
STEM ___ Leaf
4 | 024477889
5 | 001222234477888
6 | 02378
7 | 348
The data values include the stem with each value in the leaf : Hence, the number of data points is the number of values in the leaf of the stem plot.
The values are :
40, 42, 44, 44, 47, 47, 48,48, 49
50, 50, 51, 52,52, 52, 52, 53, 54, 54, 57, 57, 58, 58, 58,
60, 62, 63, 67, 68
73, 74, 78
Item 2: help asappp please :)
Answer:
A is correct. i mean 75°
60°+45°=95°
180°- 95°=75°
Ashley deposit $100 into a savings account. The account is 2% compounded annually. What is the balance in Ashley's account after 2 years?
Answer:
104.40
Step-by-step explanation:
100 * 2% = 102
102 * 2% =104.4
Decide whether the two equations are equations are equivalent 7v-3/2=5 14v-3=15 sho work
Answer:
Not equivalent.
Step-by-step explanation:
The given equations are :
7v-3/2=5 ....(1)
14v-3=15 ....(2)
Taking equation (1) first,
7v-3/2=5
Adding 3/2 to both the sides.
7v-3/2+3/2=5+3/2
7v = 6.5
v = 0.928
Taking equation (2).
14v-3=15
Adding 3 to both sides.
14v-3+3=15+3
14v=18
v = 1.285
So, the values of v in both equations ar not the same. It means two equations are not equivalent.
Write an equation in the first box (use x as your variable). Then, solve (in second box).
Answer: 3.2x = 48
Step-by-step explanation: So that means x = 15.
Is this graph and example of a sin or cos graph?
Answer:
Sine
I think
Step-by-step explanation:
The graph of the cosine is the darker curve; note how it's shifted to the left of the sine curve. The graphs of y = sin x and y = cos x on the same axes. . .. You probably noticed that these cofunction identities all use the difference of angles, but the slide of the sine function to the left was a sum.
The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
Algebra 2 Please Help
I really need help thanks
5. In the right triangle shown below, the length of side AB is x, the length of side BC is x + 2, and the length of the
hypotenuse AC is x + 4. Use this information to find the length of each side. (Use the Pythagorean theorem to get
an equation, and solve for x.)
I need an answer quick!!!
It’s from the problem set to lesson 17 M.1
Answer:
[tex]AB = 6[/tex] [tex]BC = 8[/tex] [tex]AC = 10[/tex]
Step-by-step explanation:
The picture of the triangle is missing.
Given
[tex]AC = x + 4[/tex]
[tex]BC = x + 2[/tex]
[tex]AB = x[/tex]
Required
Find x
When Pythagoras theorem is applied, we have:
[tex](AC)^2 = (BC)^2 + (AB)^2[/tex]
This is so, because AC is the hypotenuse
So, we have:
[tex](x+4)^2 = (x+2)^2 + x^2[/tex]
Open brackets
[tex]x^2 + 4x + 4x + 16 = x^2+2x + 2x + 4 + x^2[/tex]
[tex]x^2 + 8x + 16 = x^2+4x + 4 + x^2[/tex]
Collect Like Terms
[tex]x^2 -x^2 - x^2 + 8x -4x + 16 - 4 = 0[/tex]
[tex]- x^2 + 4x + 12 = 0[/tex]
Expand:
[tex]- x^2 + 6x -2x+ 12 = 0[/tex]
Factorize:
[tex]-x(x -6) -2(x- 6) = 0[/tex]
[tex](-x -2)(x- 6) = 0[/tex]
Split
[tex]-x - 2 = 0[/tex] or [tex]x - 6 = 0[/tex]
[tex]-x = 2[/tex] or [tex]x = 6[/tex]
[tex]x =-2[/tex] or [tex]x = 6[/tex]
Because [tex]BC = x + 2[/tex] and [tex]AB = x[/tex]
[tex]x =-2[/tex] can not be considered.
Hence:
[tex]x = 6[/tex]
Substitute 6 for x in
[tex]AC = x + 4[/tex]
[tex]BC = x + 2[/tex]
[tex]AB = x[/tex]
[tex]AC = 6 + 4[/tex]
[tex]AC = 10[/tex]
[tex]BC = 6 + 2[/tex]
[tex]BC = 8[/tex]
[tex]AB = 6[/tex]
Given the test result, the probability that carbon emissions from the factory are actually within the permissible level is
.
Answer: 0.9132
Step-by-step explanation: PLATO
sam counted his heart beats while resting his heart beat 220 times in 4 minutes Sam heart beat at the same rate for the 4min .complete the ratio of beats to min
Answer: 220:4 or 220 to 4
Step-by-step explanation:
Answer:220:4
Step-by-step explanation:
Fourteen out of the twenty people in your class have black hair.
Use the table to write a proportion.
Please help. Ty!
Answer:
[tex]21.\bar{3}[/tex]
Step-by-step explanation:
Assuming a constant ratio, we can set up the following proportion:
[tex]\frac{6}{8}=\frac{16}{m}[/tex].
Cross-multiply to solve:
[tex]6m=8\cdot 16,\\m=\fbox{$21.\bar{3}$}[/tex]
Help plz ASAP brainliest
Answer:
15
Step-by-step explanation:
Solve each of the following equations.
(4b + 11)(3b - 7) = 0
Answer:
4b = 4(11/4)
3b = 3(7/3)
Suzie ate brunch at a restaurant. The bill came to $6 .If she left a 15% tip, how much was the tip
Answer:
0.9 Its the answer,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Two sides of a triangle have the same length. The third side measures 6 m less than twice the common length. The perimeter of the triangle is 14 m. What are the lengths of the three sides?
What is the length of the two sides that have the same length?
Answer: 5
Step-by-step explanation:
x = common side length
2x + (2x - 6) = 14
4x - 6 = 14
4x = 20
x = 5