Answer:
a) [tex]\hat p =\frac{Upper+Lower}{2}= \frac{0.47+0.63}{2}= 0.55[/tex]
b) [tex] ME = \frac{Upper-Lower}{2}= \frac{0.63-0.47}{2}= 0.08[/tex]
c) For this case in order to find the number of people who would support the bike lanes we just need to multiply the estimated proportion by the total size and we got:
[tex] X = 0.55* 75783= 41680.65 \approx 41681[/tex]
Step-by-step explanation:
For this case we have an interval for the true proportion of adults in a certain town who want to add bike lanes to a major roadway:
[tex] 0.47 \leq p \leq 0.63[/tex]
Part a
For this case the point of estimate is given by:
[tex]\hat p =\frac{Upper+Lower}{2}= \frac{0.47+0.63}{2}= 0.55[/tex]
Part b
We can estimate the margin of error with this formula:
[tex] ME = \frac{Upper-Lower}{2}= \frac{0.63-0.47}{2}= 0.08[/tex]
Part c
For this case in order to find the number of people who would support the bike lanes we just need to multiply the estimated proportion by the total size and we got:
[tex] X = 0.55* 75783= 41680.65 \approx 41681[/tex]
b. Three angles are labeled below with arcs. The smallest angle is - as large as the 160 angle. Find the
value of angle a.
160°
che spent SAS how much money did she has
Answer:
$7.45
Step-by-step explanation:
URGENT PLEASE
Identify the constant difference for a hyperbola with foci (−3, 0) and (3, 0) and a point on the hyperbola (7, 0).
Answer:
6
Step-by-step explanation:
By definition, the constant difference for a hyperbola is:
d = |PF1 - PF2|
where PF1 is the distance between points P and F1, and PF2 is the distance between points P and F2
Let's call F1 to (-3, 0), F2 to (3, 0) and P (7, 0). Then, the distances are:
PF1 = √[(-3 - 4)² + (0 - 0)²] = 7
PF2 = √[(3 - 4)² + (0 - 0)²] = 1
And the the constant difference is:
d = |7 - 1| = 6
PLS HELP HURRY ASP BEST ANSWER GETS BRAINLESST!
Answer:
Hi there!
The following answers:
3. 7 c > 3 (1/4) pt 4. 5 gal > 18 qt
5. 45 cm = 450 mm 6. 4.5 km < 5000 m
Step-by-step explanation:
There are 2 cups in one pint.
There are 4 quarts in one gallon.
One kilo meter is 1000 meters.
there are 12 gumballs in a gumball machine . there is 1 red, 6 yellow, 2 green, and 3 blue gumballs. what is the color that is most likely to come out of the machine next .
Answer:
Yellow
Step-by-step explanation:
As the ratios of all gum all’s in a comparison yellow has the most
Using the graph, what is one solution to the equation f(x) = g(x)?
Graph of function f of x equals 4 times x minus 3. Graph of function g of x equals x cubed minus x squared minus 4 times x plus 4.
x = −2.8
x = 0.5
x = 2
x = 3
Answer: 0.5
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
g
f
)(x)=
4−5x
3x+2 f (2) = 2(2) = 4
g(2) = (2) + 4 = 6
h(2) = 5 – (2)3 = 5 – 8 = –3
Now I can evaluate the listed expressions:
(f + g)(2) = f (2) + g(2)
= 4 + 6 = 10
(h – g)(2) = h(2) – g(2)
= –3 – 6 = –9
(f × h)(2) = f (2) × h(2)
= (4)(–3)= –12
(h / g)(2) = h(2) ÷ g(2)
= –3 ÷ 6 = –0.5
Step-by-step explanation:
By looking where the functions intercept, we conclude that the correct option is x = -2.8.
What is one solution to the equation f(x) = g(x)?
Here we have:
f(x) = 4x - 3g(x) = x³ - x² - 4x + 4To find a solution of f(x) = g(x), we can graph both equations on the same axis, and see where the curves intercept.
The graph can be seen below:
There, we can see that we have intercepts at:
x = -2.8
x = 0.8
x = 2.9
From these, the only one that appears in the options is the first one, so that is the correct option.
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What is the equation, in slope-intercept form, of the line that contains the points (1, -4) and (2, 1)?
X Y
1 -4
2 1
Answer
y-1=5(x-2)
Step-by-step explanation:
1-(-4) =5
2-1=1
y/x = 5/1 =5
(2,1)
y-1=5(x-2)
A model skyscraper is made with a scale of 1 inch to 75 feet. What is the height of the model if the height of the building is 1,395 feet?
Answer:
18.6 inches
Step-by-step explanation:
As we have the scale between the model and the real skyscraper, and we also have the height of the real building, to find the height of the model we just need to use a rule of three:
1 inch -> 75 feet
x inches -> 1395 feet
x*75 = 1*1395
x = 1395 / 75
x = 18.6 inches
The height of the model skyscraper is 18.6 inches.
Which expression can be used to find the surface area of the following square pyramid?
Answer:
Step-by-step explanation:
Surface area = 2bs + b^2
b = base
s = slant height
Answer:
Surface area = 2bs + b^2
Step-by-step explanation:
1 Which of the following statements is true?
Answer: a
Step-by-step explanation:
The areas of the sides of a rectangular box are
10 in.2, 14 in.2, and 35 in.2 What is the volume of the box?
Answer:
4900 In. Squared
Step-by-step explanation:
The formula for calculating volume is Length X Base X Height
So as you can see, the way you would solve this problem si by doing
10 X 14 X 35 which would give you the final answer of
4900 Inches Squared or 4900 In.2
Find 2/5 % of 2,000.
Answer:
8 is the answer
Step-by-step explanation:
Answer:
The answer is 8
Step-by-step explanation:
Select the factored form of the expression. If it
cannot be factored, select "already in factored
form."
4x2 - 24x + 36
A.already in factored
form
B.(2x – 6)(2x - 6)
C.(2x - 6)(2x + 6)
D.(4x – 24)(x + 1)
Answer:
work is shown and pictured
Will give brainliest :)
x/4 = -5
I need help
Answer:
-20
Step-by-step explanation:
because if you put -20 over 4, that simplifies out to -5
Answer:
x= -20
Step-by-step explanation:
To solve this problem, we have to get x by itself.
x/4= -5
x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.
4*(x/4)=(-5)*4
The 4s on the left cancel, so we are left with:
x=-5*4
x=-20
To check our solution, we can substitute -20 back in for x.
x/4=-5
-20/4=-5
-5= -5
This is true, so we know that -20 is the solution.
A quadrilateral has angles that measure 125°, 1150, and 65º.
What is the measure of the fourth angle?
Answer:
If the Angles are 125 + 150+ 65 then the missing angle is 20.
Step-by-step explanation:
All angles need to add up to 360 degrees.
PLEASE HELP THIS IS URGENT I AM BEING TIMED!!
Question. A game has 150 cards, and five of them are bonus cards. If all the cards are on the table, what is the probability of getting a bonus card when choosing a card at random? Write your answer as a fraction.
Answer:
1/30 or 3.333%
Step-by-step explanation:
If m∠CBD = 148°, what is m∠ABE?
Answer:
show the diagram so l can help you to solve it
Answer:
its 148
Step-by-step explanation:
i just answered it, you're welcome.
Solve the equation using the inverse operation .. \
z + 13 = 28
z = ?
Thanks a lot -virtual smiles- :)
Answer:
15
Step-by-step explanation:
28 - 13 = 15
Which expression is equivalent to 3(6m)+m ?
A
19m
B
21m
C
7m+3
D
18m+6m2 please help me :C
Answer:
A. 19m
Step-by-step explanation:
3(6m) + m
Distribute:
18m + m
Add like terms:
19m
Solve –15 = 4m – 7.
–32
2
–12
–2
Answer:
-2 =m
Step-by-step explanation:
–15 = 4m – 7
Add 7 to each side
–15+7 = 4m – 7+7
-8 = 4m
Divide each side by 4
-8/4 = 4m/4
-2 =m
Somebody help me out with this one and explain how u got it I will mark u as brainiest if correct
Answer:
C.
Step-by-step explanation: im pretty sure because if you look at Ed its 5 and then if you add the same sides twice its 10 hopefully im right
What is the relationship between the area of the rectangle ABCD and triangle ABC?
Answer:
The second one.
Step-by-step explanation:
The area of the triangle has an area that is half the area of the rectangle.
A straight line divides the rectangle directly in half, creating two triangles, each triangle being half the area of the rectangle
Answer:
The triangle has an area that is half the area of the rectangle
Step-by-step explanation:
PLZ HELP!!!!!!!!!!!!!! :(
Answer:
D: x≥-3
Step-by-step explanation:
Answer: it's B
Step-by-step explanation:
The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely with paper. How much paper do you need? Use a pencil and paper to explain your reasoning.
Also please look at the attachment.
Answer:
total paper required = 57 cm²
Step-by-step explanation:
given data
slant height b = 4 cm
base side h = 3 cm
block height h1 = 2 cm
solution
we get surface area of right squared pyramid by add here areas of all 4 triangles that is express as
area = 4 × Area of Triangles
area = 4 × [tex]\frac{bh}{2}[/tex]
area = 4 × [tex]\frac{4\times 3}{2}[/tex]
area = 24 cm²
and
surface are of the box is equal to the area of its 4 side faces + base
area = 4 × ( h × h1 ) + h²
area = 4 × ( 3 × 2 ) + 3²
area = 24 + 9
area = 33 cm²
so total paper required = 24 + 33
so total paper required = 57 cm²
HELP ME ASAP THIS SIMPLE PLEASE HELP ME
Step-by-step explanation:
A) Divide 1.68 into 3, the answer will be the answer to the question.
B) Times the answer to question a by 5
I hope this helped! If it did could you add me as brainliest, I’m trying to rank up!
Any correct answers would be super helpful!
Answer:
74 ft
Step-by-step explanation:
[tex]-4^{2}[/tex] + 19(4) + 14
-16 + 76 + 14
74
The height of an acrobat who jumps from a trampoline to a large mat on the ground can be modeled by f(x)=-8x^2+16x+10, where x is the time in seconds after the acrobat jumps.
How high is the trampoline off the ground?
Find the maximum height of the acrobat and the time it takes to reach this height.
The trampoline is 10 units off the ground.
The maximum height of the acrobat is 18 units, and it takes 1 second to reach this height.
We have,
To find the height of the trampoline off the ground, we need to determine the value of f(x) when x is equal to zero.
This is because at the moment the acrobat jumps (x=0), the height of the acrobat is the height of the trampoline.
Given the function f(x) = -8x² + 16x + 10, we substitute x=0 into the function:
f(0) = -8(0)² + 16(0) + 10
f(0) = 0 + 0 + 10
f(0) = 10
Now,
To find the maximum height of the acrobat and the time it takes to reach this height, we can observe that the function f(x) is in the form of a quadratic equation in the form of ax² + bx + c, where a = -8, b = 16, and c = 10.
The maximum height of the acrobat occurs at the vertex of the quadratic function.
The x-coordinate of the vertex is given by:
x = -b / (2a)
Substituting the values, we have:
x = -16 / (2 * -8)
x = -16 / -16
x = 1
The time it takes to reach the maximum height is 1 second.
To find the maximum height, substitute the value of x back into the function:
f(1) = -8(1)² + 16(1) + 10
f(1) = -8 + 16 + 10
f(1) = 18
Therefore,
The trampoline is 10 units off the ground.
The maximum height of the acrobat is 18 units, and it takes 1 second to reach this height.
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Bruno solved the following equation: 4x + one half(10x − 4) = 6 Step Work Justification 1 4x + 5x − 2 = 6 2 9x − 2 = 6 3 9x = 8 4 x = eight ninths Which of the following has all the correct justifications Bruno used to solve this equation?
a) 1. Multiplication Property of Equality 2. Combine like terms 3. Subtraction Property of Equality 4. Division Property of Equality
b)1. Distributive Property 2. Combine like terms 3. Subtraction Property of Equality 4. Division Property of Equality
c)1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality
d)1. Multiplication Property of Equality 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality
Answer:
c) 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality
Step-by-step explanation:
4x + 1/2(10x − 4) = 6
4x + 5x − 2 = 6 distirbuted 1/2 to 10x - 4
9x − 2 = 6 combinded like terms: x
9x = 8 addtion to the right side with 2
x = 8/9 divide by 9
The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality options third and fourth are correct.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have the equation:
[tex]\rm 4x+\frac{1}{2} (10x-4)=6[/tex]
4x + 5x -2 = 6 (Multiplication proeprty of equality or Distributive property)
9x - 2 = 6 (combine like term)
9x = 8 (addition property of equality)
x = 8/9 (division property of equality)
Thus, the justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality options third and fourth is correct.
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What is the product ? a-3/15a × 5/a-3
1/3
1/3a
За
3
The product of the expressions is 1/3a option the second 1/3a is correct after simplification.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
[tex]=\rm \dfrac{a-3}{15a} \times \dfrac{5}{a-3}[/tex]
After simplification:
[tex]=\rm \dfrac{1}{15a} \times \dfrac{5}{1}[/tex]
= 1/3a
Thus, the product of the expressions is the 1/3a option the second 1/3a is correct after simplification.
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1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers
Answer:
-6 x -6
Step-by-step explanation:
2 negatives equal a positive