Suppose in order for a bill to pass in Congress, 50% of voters must be in favor of it. In a random sample of 150 voters, 62 said that they were in favor of a new bill. State the p-value assuming the alternative hypothesis is Ha ≠.50 (Round to the nearest hundredth.)
Using the z-distribution, it is found that the p-value is of 0.03.
At the null hypothesis, it is tested if the proportion is of 0.5, that is:
[tex]H_0: p = 0.5[/tex]
At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:
[tex]H_a: p \neq 0.5[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}[/tex]
[tex]z = -2.12[/tex]
The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.
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What is the function graphed below?
3
Oy=x-1
Oy=1 X-1
Oy=1x+11
Oy=x+1
The function that is graphed below is y = |x + 1|.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The graph of the equation y = |x + 1| is a V-shaped curve that opens upwards and has a vertex at the point (-1, 0).
The absolute value function, represented by the vertical bars surrounding the expression (x + 1), means that the function will always output a positive value, regardless of the input.
When x is greater than or equal to -1, the expression inside the absolute value bars is non-negative, so the equation simplifies to y = x + 1.
This is a linear function with a slope of 1 and a y-intercept of 1, which means that the graph of y = |x + 1| for x ≥ -1 is a straight line that passes through the point (-1,0) and slopes upward to the right.
When x is less than -1, the expression inside the absolute value bars becomes negative, so the equation simplifies to y = -(x + 1) = -x - 1.
This is also a linear function, but with a slope of -1 and a y-intercept of -1, which means that the graph of y = |x + 1| for x < -1 is a straight line that passes through the point (-1,0) and slopes downward to the right.
The two linear segments meet at the vertex (-1,0), which is the minimum point of the graph.
The graph of y = |x + 1| is a continuous, piecewise linear function with a minimum value of zero at x = -1.
Thus,
The function that is graphed below is y = |x + 1|.
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Eva earns $5.50 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 47 hours?
Answer:
$277.75
5.50×40=220
5.50÷2=2.75
5.50+2.75=8.25×7=57.75
57.75+220=277.75
Mr. Williams drew the following image on the board and asked his students to write a sequence of steps explaining how to construct a line which passes through point C and is perpendicular to line AB. The work of two students, Elias and Greyson, is shown.
Answer:
both Elias and Greyson
Step-by-step explanation:
So far, Charlie has pures 456.6 Glories. He wants to burn a total of 500 calorierHow many more calories must Charlie burn?
| 0
2
stions 5-7 the Grade 6 pupils graduated? In a school of 680 Grade 6 pupils, 646 graduated. What percent of the Grade 6 pupils graduated ?
Answer:
95% of Grade 6 pupils graduated
Answer:
95% of Grade 6 Pupils Graduated
Step-by-step explanation:
Express the Statement Mathematically:
646/680Add Percentage
646/680 * 100%By Division
0.95 * 100%Then, Multiply
95%A pair of shoes sell for $75 from the manufacturing company. If the store sells the shoes for $150 dollars what is the mark-up (percent increase) of the price of the shoe from the manufacturing company to the store?
Help
The mark-up (percent increase) of the price of the shoe from the manufacturing company to the store is 100%.
Given the following data:
Cost price = $75 Selling price = $150To determine the mark-up (percent increase) of the price of the shoe from the manufacturing company to the store:
First of all, we would determine the increase in price of this shoe:
[tex]Increase = selling\;price -cost\;price\\\\Increase = 150-75[/tex]
Increase = $75
For mark-up (percent increase):
[tex]Mark\;up = \frac{Increase}{Cost\;price} \times 100\\\\Mark\;up = \frac{75}{75} \times 100[/tex]
Mark-up = 100%
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There were approximately 16 million visitors to Disneyland in 2012. If the theme park is open every day of the year, about how many people visit per day?
36in rounded to the nearest tenth for circumference
Answer: Remember that the tens place is two moves to the left of the decimal point (if it exists). To round to the nearest ten (nearest 10), we use the whole numbers place to determine whether the tens place rounds up or stays the same.
Solution steps:
Step 1: Locate and underline the tens place () and look to digit to the right (6):
36
Step 2: In this case, the digit to the right 6 is 5 or above. So, we add 1 to the tens place (). The digit(s) after the (6) are dropped. Thus, we get 40 as answer.
In short: 36 rounded to the nearest tens is 40.
Step-by-step explanation:
HURRY QUICK!!
Evaluate the following expression when x = -4 and y = 4.
Answer: Should be A
Step-by-step explanation:
Not 100% sure but I'm pretty sure it's A
Answer:
A
Step-by-step explanation:
You need to insert the values into the equations
1) [tex]\frac{x^{6} -x}{4y}[/tex]
[tex]\frac{(-4)^{6} -(-4)}{4(4)}[/tex]
Then open the brackets
[tex]\frac{4096 -(-4)}{16}[/tex]
Open the brackets again not forgetting that 2 - equal a positive
[tex]\frac{4100}{16}[/tex]
Simplify
[tex]\frac{1025}{4}[/tex]
h(x) = 72 - 1
Over which interval does h have a negative average rate of change?
Choose 1 answer:
-3<<5
1<2<4
-3<<1
-1<<5
3 of
4.00
Check
Answer:
you're right, keep it up! you're very smart
What is the point-slope of a line that has a slope of 3 and passes through point (1, 4)
Answer:
A. y - 4 = 3 ( x - 1 )
Step-by-step explanation:
Given:
x1 = 1
y1 = 4
slope (m) = 3
Solution:
y - y1 = m ( x - x1 )
y - 4 = 3 ( x -1 )
y - 4 = 3x - 3
y = 3x - 3 + 4
y = 3x + 1
The quadratic function g(x)=ax^2+bx+c has the complex roots (-5+9i) and (-5-9i).
What is the value of a?
What is the value of b?
What is the value of c?
Answer:
I don't know sorry
i just need to know if this is correct and if i need to fix anything
Answer:
You are correct. Good job and merry Christmas, have a good day.
Answer:
Your answer is correct
Step-by-step explanation:
You don’t need to change anything because (-3, 12) is correct!
hope that helps! ❤️❤️❤️❤️
13-n + 2n > 8 + 1 Solve the given inequality and graph and solution
because we are finding for the variable and not the coefficient we divide it by the number attached to the variable which is the coefficient to get the result of the variable
School yearbooks were printed and the table shows the number of people who bought them the first, second, third, and fourth weeks after their release .which graph could represent the data shown in the table? Table and options below!
PLS HURRY!30 POINTS ANS BRAINLEST!
Answer: The correct graph that would depict the table correctly would be the first one listed. There is a sudden increase in the last day which would cause the graph to curve. Hope this helps you out! If you need anything else I'm here to help.
The function is an increasing function. The graph that represents the table will be A.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The table is given below.
Week Number of sales
1 84
2 102
3 158
4 271
The slope at different will be given as,
m₁ = (102 - 84) / (2 - 1)
m₁ = 18
m₂ = (158 - 102) / (3 - 2)
m₂ = 56
m₃ = (271 - 158) / (4 - 1)
m₃ = 113
The capability is a rising capability. The diagram that addresses the table will be A.
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Angle A is in standard position and terminates in quadrant IV. If sec(A)=4 3 , complete the steps to find cot(A). Use the identity to find the value of (A).
If sec(A) = 4/3, then the value cot(A) is [tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]
The given trigonometric identity is:
[tex]sec(A)=\frac{4}{3}[/tex].........................(*)
Note that:
[tex]sec(A)=\frac{Hypotenuse}{Adjacent}[/tex].........................(**)
Comparing (*) and (**)
Hypotenuse = 4
Adjacent = 3
Find the opposite using the Pythagoras theorem
Hypotenuse² = Opposite² + Adjacent²
4² = Opposite² + 3²
Opposite² = 4² - 3²
Opposite² = 16 - 9
Opposite² = 7
Opposite = √7
cot(A) = Adjacent/Opposite
cot(A) = 3/√7
Rationalize the expression
[tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]
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Answer
1A=B 1B=tan 2=B 3=A
Step-by-step explanation:
(Statistics)Which of the following is NOT a characteristic of a least squares regression line?
Based on the information given, the option that's correct is E. All the above are characteristics.
It should be noted that when the least square regression line goes through all the points, the sum of squared residuals is 0.
Also, the least-squares regression line makes the sum of the squares of the residuals as small as possible and the slope is usually between -1 and 1. The smaller the residual sum of squares, the better the model fits the data.
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multiply the expression (1/3 m-n)^2
Answer:
{(
Greg has entered a cycle race of 125 km. he rides the first 85 km in 2.5 hours. he rides the rest of the way in 2 hours. How much faster did he ride during the first part of the journey compared to the second?
Answer:
He rides 14km/hr faster
Step-by-step explanation:
Speed = distance/ time
In the first part,
Speed= 85/2.5
= 34km/hr
In the second part,
Distance= 125-85
=40km
Speed= 40/2
=20km/hr
How much faster did Greg ride ?
34-20= 14km/hr
Please help with this math problem!! IT'S DUE TONIGHT AT 11:59PM!! NO LINKS PLEASE!! :)
Answer:
[tex]c = \: \: 0 \: \: \: 1 \: \: 2 \: \: 3 \: \: 5 \: \: 7[/tex]
Step-by-step explanation:
check this pls
but im not sure;-)
pa heart and 5 star
if check po
Answer:
[tex]C= -2p+5, \text{where slope is} ~-2.[/tex]
Step by step explanation:
a store pays $60 for the shoes and sells them for $90. What is the percent markup
50+10+23×61×80 please help mee!!
Answer:
112300
Step-by-step explanation:
50+10+23*61*80
=60+23*61*80
=60+112240
=112300
The answer 112300, hope this helped :)
Answer:
I think the answer is 112,300.
Question 17 of 25
Solve |3x + 3| = 21.
A. C= –6 and x = 8
B. X = 6 and x = -8
C. X= -6 and x=-8
D. X= 6 and x = -
-6
Answer:
D. 1.25. 30 31 - 35. Convert the answer into a mixed number by dividing ... 8.7 6 5. 4.235. Subtract the two numbers. B. 4.235. 14) V81. 8) 0.2 * 0.3 * 0.4.
Step-by-step explanation:
6) There are 350 calories in
cups of spaghetti. How
many calories are in two cups?
Working With Food
Which of the following are valid names for the given triangle? Check all that
apply.
Answer:
A) AXT
C) TAX
F) XTA
=====================================
Explanation:
We name a triangle based on its corner points (aka vertex points). Those three points are A, T and X. The order doesn't matter so there are 6 ways to name this triangle and they are
ATXAXTTAXTXAXATXTAThe terms in bold are the final answers. Anything involving M or Y isn't part of the naming because we use the corner points only.
If I have a ramp of 8 feet in length and 4 feet in height what is the diagonal length and degree
Answer:
almost 9
Step-by-step explanation:
ursula drew a polygon in which all the angels were obtuse. what kind of polygon could she have drawn
Answer: Hexagon
Explanation:
There are n = 6 sides to a hexagon. If we had a regular hexagon, then each exterior angle is E = 360/n = 360/6 = 60 degrees, which means the adjacent interior angle is 180-E = 180-60 = 120.
In short, each interior angle of a regular hexagon is 120 degrees, making each angle obtuse. Other polygons are possible for the answer.
Chance and Destiny went shopping at New Fashion Shop,
Everything in the store was at a 30% discount. Chanice
found a dress that was originally $65.00. What was the sale price?
there are 47 students in the science club. all but 5 of them went on a field trip to the planetarium. what is the total cost if each student who went on the field trip paid $7?
Answer:
294
Step-by-step explanation:
40x7=280
2x7=14
280+14=294
Answer:
$294
Step-by-step explanation:
There is a total of 47 students in the science club.
5 did not go on the trip.
Number of students who went on the trip: 47 - 5 = 42
42 students wen on the trip.
Cost per person: $7
Total cost for 42 students: 42 × $7 = $294