Answer:
the last equation
We need to divide by 4 on both sides to isolate the 6 as on the equation in the question
A start-up company is about to market a new computer printer. It decides to gamble by running commercials during the Super Bowl. The company hopes that name recognition will be worththe high cost of the ads. The goal of the company is that over 40% of the public recognize its brand name and associate it with computer equipment. The day after the game, a pollster contacts 420 randomly chosen adults and finds that 181 of them know thatthis company manufactures printers. Would you recommend that the company continue to advertise during Super Bowls
Reject the null hypothesis and come to the conclusion that there is enough evidence to imply that the percentage of adults who are familiar with the company's name is much more than 40%.
What is the null hypothesis?In order to evaluate whether the percentage of individuals who recognize the company's brand name differs considerably from the company's target of 40%, we must conduct a hypothesis test.
Let p represent the percentage of adults who can name the company's brand. The corporation hopes that more than 40% of adults will recognize its brand name, hence the alternative hypothesis is that p > 0.4.
A one-sample z-test can be used to examine this claim. The test statistic is determined as follows:
[tex]z = \dfrac{(p' - p)} { \sqrt{\dfrac{(p (1 - p)} { n}}}[/tex]
Where p is the null hypothesis value, n is the sample size, and p is the sample proportion.
In this instance, n = 420, p = 0.4, and p' = 181/420 = 0.431. With these values entered into the formula, we obtain:
[tex]z = \dfrac{(0.431 - 0.4)} { \sqrt{(0.4 \times \dfrac{0.6} { 420} }}= 1.65[/tex]
The likelihood of obtaining a z-value of 1.65 or higher is 0.0495 using a basic normal distribution table or calculator (assuming the null hypothesis is true). This is the test's p-value.
When the p-value is less than 0.05, which is considered to be significant (and corresponds to a 95% confidence level), we
Hence, based on this sample of 420 adults, we would advise the company to keep running Super Bowl advertisements as it seems to be succeeding in raising brand recognition among the general public.
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Solve the inequality
x/4 is greater than or equal to -6
a) x ≤ –24
b) x ≥ 10
c) x ≥ –10
d) x ≥ –24
Answer:
D
Step-by-step explanation:
x/4≥-6
*4 *4
x≥-24
So it's D.
---
hope it helps
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{x}{4}\geq-6}[/tex]
[tex]\large\text{SUBSITUTE 1 where x is at temporarily, so we can simplify both}\\\large\text{sides of your inequality}[/tex]
[tex]\large\text{NEW EQUATION: }\mathsf{\dfrac{1}{4}x \geq-6}[/tex]
[tex]\large\text{MULTIPLY by 6 to BOTH SIDES}[/tex]
[tex]\mathsf{4\times\dfrac{}{}x \geq 4\times-6}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{4\times\dfrac{1}{4}}\large\text{ because that gives you the value of 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{4\times-6}\large\text{ because it helps you find out the number or value}\\\large\text{that is being compared to your x-value}[/tex]
[tex]\mathsf{4\times-6=\boxed{\bf -24}}[/tex]
[tex]\large\text{So, the number \underline{-24} is being compared to your x-value}[/tex]
[tex]\bullet\large\text{ Your circle is CLOSED and it is shaded to the right side of the}\\\large\text{number}\huge\checkmark\\\\\\\large\textsf{Random fact about the inequality}\uparrow[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \bf x}\bf \geq\large\textsf{\bf -24 \huge\text{Option D.}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
PLEASEEE I NEED HELLPPPP
The graph below represents which system of inequalities?
(Answer options at the bottom)
Answer:
The answer is B.
hdjddihfkdhdbfkdudu
Halp me pleaseeeeeeeeee
Answer:
C and E
Step-by-step explanation:
I need help bad I don’t understand it I’m struggling bad I need help
Answer:
Step-by-step explanation:
angle k is 98 degree because angle k and 98 degree are alternate exterior angles and alternate exterior angles are equal.
Someone help me please!
Answer:
The radius is 25 cm
A
Step-by-step explanation:
Area =[tex]\pi[/tex]* r^2
Area = 625 * [tex]\pi[/tex]
625 [tex]\pi[/tex] = [tex]\pi[/tex] * r^2 The [tex]\pi[/tex]s cancel out
r^2 = 625 Take the square roots of both sides
sqrt(r^2) = sqrt(625)
r = 25
Two sevenths of the height of a sailboats tallest mast is 8 feet. How many feet high is the sailboats tallest mast
Answer:
The answer is 28 ft
Step-by-step explanation:
Since two sevenths of the height of a sailboats tallest mast is 8 feet, we keep adding two sevenths until we get its tallest mast.
2/7 = 8 ft
4/7 = 16 ft
6/7 = 24 ft
(Adding 1/7 which is 4 feet)
we get 7/7 = 28 ft
9.
For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.
A. Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 – x – 1
B. Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 + x – 1
C. Axis of symmetry: x = –0.5; Vertex: (–0.5, –0.75); f(x) = –x2 + x – 1
D. Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 + 2x – 1
Answer:
Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 + x – 1
Step-by-step explanation:
The answer is A because the axis of symmetry is in between 0 and 1, the vertex lies on 0.5 and -0.75, and the parabola opens down so the coefficient of a is -1, and the y-int or the value of c is -1
The vertex of the function is axis of symmetry is and the formula for the function is Option (a) is correct.
Further Explanation:
Given:
Calculation:
The standard form of the parabola is shown below.
Here, the parabola has vertex at and has the symmetry parallel to x-axis and it opens left.
The general form of the parabola can be expressed as follows,
The graph is a downward parabola.
From the graph it has been observed that the vertex of the parabola is
Symmetry of the graph is
The -intercepts of the graph is Therefore, the value of is
The value of is -1 as the graph is a downward parabola.
The vertex of the function is axis of symmetry is and the formula for the function is Option (a) is correct.
Learn more:
1. Learn more about unit conversion brainly.com/question/4837736
2. Learn more about non-collinear brainly.com/question/4165000
3. Learn more aboutbinomial and trinomial brainly.com/question/1394854
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Conic sections
Keywords: vertex, symmetry, symmetric, axis, y-axis, x-axis, function, graph, parabola, focus, vertical parabola, upward parabola, downward parabola.
A music store was selling a CD set at a price of $28 with a 40% discount. What was the final selling price?
Answer:
11,2$
Step-by-step explanation:
28$ — 100%
x$ — 40%
x = 28 · 40/100
11,2$
The figure below is a square. Find the length of side xx in simplest radical form with a rational denominator.
Answer: 9√2
Step-by-step explanation:
The length of each side of the square is 109/25 units.
What is Pythagoras theorem?Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².
The length of the diagonal of the square in given figure is 9 units.
Suppose each side of square be x unit.
Apply Pythagoras theorem to obtain length of the side as follows,
x² + x² = 9²
=> 2x² = 81
=> x² = 81/2
=> x = 6.36
= 636/100
= 159/25
Hence, the value of x in the simplest radical form is 6.36 units.
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Convert to percentages. List answers starting from the top. *
41%
1.836
6/50
Answer:
41% is already in percentage form.
1.836 is 183.6 %
6/50 is 12%.
Step-by-step explanation:
41% is already in percentage form, so I'm just going to leave that as it is.
1.836 has 1 whole already, so we know it's going to be more than 100%. Than we have that extra 83.6, so that would be 183.6% as a decimal.
6/50, well we divide to get 0.12, and 0.12 as a percent is 12%.
Please mark branliest, thanks!
I DONT NEED SLEEP I NEED ANSWERS
Answer:
You asked to solve questions 3 and 5
#3Since CD = EF,
9x - 1 = 41 - 5x9x + 5x = 41 + 214x = 42x = 3EF = 41 - 5*3 EF = 26#5MN = NP as their perpendicular bisectors are of same length.
9x - 43 = 5x + 339x - 5x = 33 + 434x = 76x = 19mMP = 360 - (mMN + mNP)mMP = 360 - (9*19 - 43 + 5*19 + 33) mMP = 104A tin has a radius of 3cm anf height 6cm. Find the volume, in litres of the liquid that will fill the tin to capacity, correct to 2 decimal places
Answer:
The capacity of tin is 0.17 liter.
Step-by-step explanation:
radius, r = 3 cm
height, h = 6 cm
The capacity of the tin is given by
[tex]V =\pi r^2 h\\\\V =3.14 \times 3\times 3\times 6\\\\V = 169.56 cm^3[/tex]
Now
1000 cubic cm = 1 liter
So, the capacity in liter is
V = 0.169 liter = 0.17 liter
The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H ,applied to the pot.
When H=6 T=90.
What must the cooker setting be if it takes 5 minutes to boil the water?
Answer:
[tex]1.8[/tex]
Step-by-step explanation:
Since the time for the pot of water to boil is inversely proportional to the cooker setting, H, as one goes up, the other must go down:
[tex]T\propto \frac{1}{H}[/tex]
Convert 5 minutes to seconds:
[tex]5\cdot 60=300\:\mathrm{s}[/tex]
Therefore, from the initial data given (When H=6, T=90), the new time is [tex]\frac{300}{90}=3\frac{1}{3}[/tex] larger. Therefore, H must be [tex]3\frac{1}{3}[/tex] times smaller for them to be inversely proportional.
[tex]H=\frac{6}{3\frac{1}{3}}=\boxed{1.8}[/tex]
5. What is the value of x?
A. 36
B. 12
C. 32
D. 28
Answer:
the value of X is 12 .........
Hello can someone factor these by grouping please will award brainly no jokes.
Answer:
9g2 - 42g + 49 AC = 9 × 49 = 441 factors = -21, -21
9g2 - 21g - 21g + 49
3g (3g - 7) - 7(3g - 7)
(3g - 7) (3g - 7)
g2 + 2g - 24 AC = 1 × 24 = 24 factors = 6, -4
g2 + 6g - 4g - 24
g (g + 6) - 4(g + 6)
(g + 6) (g - 4)
See image for question. Show workings.
Answer:
6. The word ‘COMMITTEE’ has 9 letters.
So it can be permuted in 9 ways, but we’ve got letters repeating there. To avoid the same arrangements happening again, we eliminate the repetitions.
M repeats twice. T Twice. E twice.
7. If it must be greater than 2000 , the first digit must either be 2 or 3 , which means you will have 2 choices. After that, there will be 3 choices for the second digit. Then there will be 2 choices for the third digit. Lastly there will be just 1 choice for the last digit.
The number of permutations becomes 2×3×2×1=12 .
Step-by-step explanation:
Answer:
#6The word has 9 letters with 2 Ms, 2Ts and 2Es
We need 2 Ts together, this reduces the number of positions by one.
The number of ways:
(9-1)!/2!2! = 8!/4 = 10080#7Digits 0, 1, 2, 3
Number should be greater than 2000, it means the number is:
2xxx ⇒ 3P3 = 3! = 6 waysor
3xxx ⇒ 3P3 = 3! = 6 waysTotal permutations:
2*6 = 12
Which of the following relations is a function?
OA. (3, 4), (-3, 2), (6, 1), (-8, 2)
OB. (6, 1), (-3, 4), (3, 1), (6,2)
OC. (3, 4), (-3, 6), (3, 3), (-8, 2)
OD. (3,0), (-3, 3), (6, 1), (-3,5)
Answer:
A. (3, 4), (-3, 2), (6, 1), (-8, 2)
Step-by-step explanation:
OA. (3, 4), (-3, 2), (6, 1), (-8, 2) - function
OB. (6, 1), (-3, 4), (3, 1), (6,2) - this repeats the x value of 6 to two different y values so it is not a function
OC. (3, 4), (-3, 6), (3, 3), (-8, 2)- this repeats the x value of 3 to two different y values so it is not a function
OD. (3,0), (-3, 3), (6, 1), (-3,5)- this repeats the x value of -3 to two different y values so it is not a function
An object In geometry with no width,length or height is a:
A. angle
B. line
C. point
D. ray
Answer:
C. Point
Step-by-step explanation:
a point would just be a dot on a graph and it won't have an exact height or size or shape
The sum of two numbers is -5. The difference is
13. What is the smaller number?
Answer:
The smaller number is -9.
Step-by-step explanation:
Let x and y be the two unknown numbers.
Their sum is -5. Hence:
[tex]x+y=-5[/tex]
Their difference is 13. Hence:
[tex]x-y=13[/tex]
This yields a system of equations. We can solve this using elimination. Adding the two equations together:
[tex](x+y)+(x-y)=(-5)+(13)[/tex]
Simplify:
[tex]2x=8[/tex]
Divide both sides by two. Thus:
[tex]x=4[/tex]
Using either equation (I'll use the first):
[tex](4)+y=-5\Rightarrow y=-9[/tex]
So, our two numbers are 4 and -9.
The smaller number is -9.
Name the vertex
does anyone know what this is called please help
Answer:
J
Step-by-step explanation:
The vertex is where the endpoint of the two rays meet
The vertex is J
Which of the following is not a factor of x^3 – 3x^2 – 4x + 12?
A)
(x – 3)
B)
(x + 2)
C)
(x + 3)
D)
(x – 2)
Answer:
c. (x + 3)
Step-by-step explanation:
using factor theorem
if x - 3 is a factor then p(a) = 0
p(a)= x^3 - 3x^2 - 4x + 12
a.(x-3)
p(3) = (3)^3 - 3(3)^2 - 4(3) + 12
= 27 - 27 - 12 + 12
= 0
therefore x-3 is a factor
b.(x + 2)
p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12
= -8 -12 + 8 + 12
,= 0
therefore x + 2 is a factor
c.(x + 3)
p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12
= -27 -27 + 12 + 12
= -30
therefore x + 3 is not a factor
d.(x-2)
p(2) = (2)^3 - 3(2)^2 - 4(2) + 12
= 8 -12 - 8 + 12
= 0
therefore x - 2 is a factor
In 1990, a radio costs $25. Now, the radio costs $5. What is the percent of change?
Answer:
20%
Step-by-step explanation:
[tex]\frac{5}{25} =\frac{1}{5}=0.2=20[/tex]%
Answer:
80% decrease
Step-by-step explanation:
take the difference between the two prices and divide it by the original price, then multiply by 100 (to make it a %)
(25-5) / 25
= 20/25
= .8 x 100
= 80% decrease
I need help again lol
Answer:
Probably 1
Step-by-step explanation:
I'm not sure, but I would think that if we wanted to round it to 5,000, we would want the number to be as close to 5,000 as possible.
Answer:
1 or 2
Step-by-step explanation:
5160.5 is less than 5,500 therefore it rounds down to 5,000.
5260.5 is less than 5,500 therefore it rounds down to 5,000.
I'm new to this and I dont really understand this
Answer:
So starting off with 1a f(4)
We simply substitute x with 4 for the function
f(4)=2(4)-5
f(4)=8-5
f(4)=3
Next 1b, here it's a little different since you have to multiply the functions I think ( please correct me if I'm wrong).
gf(4), basically means functions g and f are being multiplied and their variables are being substituted with 4.
g(4)=4^2+3
g(4)=16+3
g(4)=19
and we also know from before that f(4)=3, so we'll do 19 times 3 which is 57
For the next two, I may be wrong, but I'm still going to try:
anything to the power of a negative is a fraction so for f^-1(x)=2x-5 we'll have 1/f(x)=x/2+5/2
And then for g^-1, we'll have 1/g(x)=[tex]\sqrt{x-3} \sqrt{x-3}[/tex]
Hope I helped :)
Math question final part thanks Jim ! :)
Part (e)
See the diagram below that mentions this part.
================================================
Part (f)
See the diagram that mentions this part. It's in a separate image.
The item can be anything really. I'm going to add a trampoline which is a square shown in purple. The square is rotated 45 degrees so it looks like a diamond shape. The rotation isn't necessary but I figured to spice things up compared to the other figures which were mostly squares or rectangles. If we split the purple square into 4 triangles, and apply the pythagorean theorem, then we can find the length of each side of the purple square to be roughly 2.828 cm.
Scaling things up, the trampoline in real life is 2*2.828 = 5.656 meters along each dimension.
With any square the angles are always 90 degrees.
Of 30 student, 1/3 play sports. Of those who play sports, 2/5 play soccer. How many students play soccer.
Answer:
12
Step-by-step explanation:
you can get to your friends house in an hour and a half on your electric scooter.
the scooter travels 49 MPH.
how many miles away is your friends house? (miles)
Answer:
49+49%2=73.5mile is the required answer
evaluate 4m-10-8=-2+12
Answer:
Step-by-step explanation:
4m-10=-2+12
4m=-2+12+10
m=20/4
m=5
Answer: M=7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that dont contain the variable.
I really need help on this one
Answer:
2000 represents the original amount of butterfly's
3/4 represents the change in butterfly's
To find c) plug 3 in for t and solve.