The null hypothesis is that 51.5% of newborn babies are boys, and the alternative hypothesis is that the percentage is different from 51.5%. The test statistic, used to decide whether to reject or fail to reject the null hypothesis, is calculated using the observed percentage of boys and the sample size.
Explanation:The question is about testing a hypothesis about the proportion of boys born (51.5%). For this, we set our null and alternative hypotheses. The null hypothesis (H0) being tested here is that the true proportion of boys is 51.5% (p = 0.515), while the alternative hypothesis (H1) is that the proportion of boys is not 51.5% (p ≠ 0.515). The correct choice here would be A: Upper H0: p=0.515, Upper H1: p ≠ 0.515.
To calculate the test statistic, we would use the formula [(p' - p) / sqrt[(p(1 - p) / n]], where p' is the observed proportion in our sample (434 boys out of 850 births or 0.51), p is the claimed proportion (0.515), and n is the sample size (850). After calculating this, you would compare it to a critical value associated with the 0.10 significance level to decide whether to reject or fail to reject the null hypothesis.
Without the specific calculations, I can't tell you what your final test statistic will be, but this should guide you in the right direction.
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The null and alternative hypotheses are H₀: p = 0.515 and H₁: p ≠ 0.515. The test statistic for this hypothesis test is the z-score.
Explanation:The null and alternative hypotheses for this test are:
H₀: p = 0.515H₁: p ≠ 0.515The test statistic for this hypothesis test is the z-score. To calculate the z-score, you can use the formula:
z = (p' - p₀) / sqrt((p₀ * (1 - p₀)) / n)
Substituting the given values:
z = (434/850 - 0.515) / sqrt((0.515 * (1 - 0.515)) / 850)
Calculating the z-score, we can compare it to the critical value(s) from the standard normal distribution to make a conclusion about the null hypothesis.
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What is mean of data round to nearest tenth
Answer:
C) 5.8
Step-by-step explanation:
75/13 = 5.7692
rounded = 5.8
Hope this helps!
What’s the answer too 22+24
Answer:
46
Step-by-step explanation:
22
24 +
------
46
Just add the 4+2= 6 and 2+2= 4 and flip, so 46 is the final answer.
Which statements are true about a triangular pyramid? Check all that apply. It has exactly two faces that are triangles. It has exactly three faces that are triangles. It has exactly four faces that are triangles. It has 4 vertices. It has 5 faces. It has 6 edges.
Answer:
It has exactly 4 faces that triangles.
Step-by-step explanation:
Answer:
it has exactly four faces
it has four vertices
has six edges'
Step-by-step explanation:
If you are given the endpoints of the diameter of a circle, which equatior
can you use to find the center?
Answer:
midpoint formula
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ), then
midpoint = [[tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
What term should be added to y2-14y to make it a perfect square
trinomial?
Answer:
49
Step-by-step explanation:
Given the monomial y²-14y, in order to make the binomial a perfect square, we need to add a constant to the function using completing the square method.
To get the constant, we will multiply the coefficient of y by 1/2 and then square the resulting value.
- The coefficient of y is -14.
multiplying the coefficient of y by 1/2 will give -14/2 = -7
- squaring -7 will result in (-7)²
= 49
The constant that will be added to the binomial to make it a perfect square trinomial is 49
Mary earns $5 per hour as a waitress. Last week she took home her regular earnings of $5 per hour plus $182 in tips for a total of
$302. How many hours did Mary work last week?
O A. 22
B. 26
C. 24
.D.
29
A cube has a side length of 10 meters. What is the volume of the cube?
10 m3
10,000 m3
1000 m3
100 m3
Answer:
10,000 i think
Step-by-step explanation:
Which statement describes the domain of the function f (x) = StartFraction 3 x Over 4 x squared minus 4 EndFraction?
all real numbers
all nonzero real numbers
all real numbers except x = Three-fourths
all real numbers except x = –1 and x = 1
Answer:
D
Step-by-step explanation:
i just used desmos, never touches x=1 or x=-1
The domain of a function is the set of x values for which it is defined. The correct option is D.
What is the domain and range of a function?The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.
To find the domain of the function it needed to be simplified. Therefore, the function can be rewritten as,
[tex]f(x) = \dfrac{3x}{4x^2-4}\\\\f(x) = \dfrac{3x}{4(x^2-1)}[/tex]
As it can be seen that for the fraction of the value of x is kept -1 or 1, then the denominator of the function will become zero, which is undefined.
Hence, the domain of the given function is all real numbers except x = –1 and x = 1.
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PLZ ANSWER I HAVE A LIMITIED %IME TO ANSWER THIS QUESTION!!!
THIS IS MULTIPULE CHOICE QUESTION
Which option best illustrates the commutative property of multiplication?
a: n x 0 = n
b: n x 1 = n
c: n x 0 = n
d: n x 3 = 3 x n
Answer:
D.
Step-by-step explanation:
the commutative property of multiplication is that the numbers can be multiplied in any order and still get the same answer. which means n x 3 will get the same answer as 3 x n. Hope this helps!
Answer:
D
Step-by-step explanation:
why did you report me for telling you D? wth
The product of 21 and a number u is at most 126
Answer:
21u is less than or equal too 126
Step-by-step explanation:
Final answer:
The inequality 21u ≤ 126 is solved by dividing both sides by 21, resulting in u ≤ 6.
Explanation:
The product of 21 and a number u is at most 126 can be expressed as an inequality: 21u ≤ 126. To solve for u, we divide both sides of the inequality by 21, the coefficient of u. Doing so, we find that u ≤ 6. Therefore, the number u can be any number less than or equal to 6 so that the product of 21 and u does not exceed 126.
which equation describes the line with a slope of 5 and y-intercept of -3
answers :
y= -3x + 5
y= 3x - 5
y= 5x - 3
y= 5x + 3
The equation representing the line with the slope of 5 and y-intercept of -3 is y=5x-3. This answer is derived from substituting these values into the standard line equation y=mx+b.
Explanation:The equation of a line is generally given by the formula y=mx+b, where m is the slope of the line and b is the y-intercept of the line.
If the slope is 5 and the y-intercept is -3, and we plug these values into the standard formula, we get y=5x-3. Hence, the equation that describes the line with a slope of 5 and y-intercept of -3 is y=5x-3.
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what is the diameter and radius of a circle with a circumference of 78?
Answer:
D:24.83
Step-by-step explanation:
Answer: d = 24.83 r = 12.41
An object is launched straight into the air. The projectile motion of the object can be modeled using h(t) = 96t – 16t2, where t is the time since launch and h(t) is the height in feet of the projectile after time t in seconds. When will the object be 144 feet in the air? When will the object hit the ground?
Answer:
first one is 3 seconds second one is 6 seconds
Step-by-step explanation:
The object will hit the ground in 3 seconds.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is h(t)=96t-16t².
The object be 144 feet in the air.
144=96t-16t²
144=16(6t-t²)
t²-6t+9=0
By splitting middle term method, we get
t²-3t-3t+9=0
t(t-3)-3(t-3)=0
t-3=0
t=3
Therefore, the object will hit the ground in 3 seconds.
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PLEASE HELP
a company designs a new logo to be painted on a wall in the lobby of its office building. the dimensions are shown below what is the area of the logo.
The answer is 15 square ft
Answer:
15 square feet
Step-by-step explanation:
Solve for z-
-0.25z = -1.25
z = ___
Answer:
5
Step-by-step explanation:
The value of z in the equation -0.25z = -1.25 is simplified to z = 5.
To solve for z in the equation -0.25z = -1.25, we need to isolate z by performing the necessary operations.
We can start by dividing both sides of the equation by -0.25 to cancel out the coefficient of z:
-0.25z / -0.25 = -1.25 / -0.25
This simplifies to:
z = 5
Therefore, the value of z in the equation -0.25z = -1.25 is z = 5.
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Given the following exponential function, what is the initial amount y 60(1.71)^x?
Answer:
60
Step-by-step explanation:
The initial y value can be found by setting x to 0. Anything to the power of 0 is 1, so 1.71^x when x is 0 is just 1. 60*1=60, which is the initial y value. Hope this helps!
The initial amount 'y' of the exponential function [tex]y = 60(1.71)^x[/tex] is 60. This value represents the function's y-intercept, the amount present before any exponential growth occurs.
The student has provided an exponential function and wishes to know the initial amount, which can be expressed as 'y' in the function [tex]y = 60(1.71)^x[/tex]. The initial amount when x=0 is the coefficient of the exponential term. For this function, when x equals 0,[tex](1.71)^0[/tex] is 1, since any number raised to the power of 0 is 1. Therefore, the initial amount or the y-intercept of this function is 60.
This value represents the starting quantity before any growth (or decay if the base were less than 1) has occurred in the context of the function. It is important to note that the base of the exponential function (1.71 in this case) indicates the rate of growth per unit increase of the variable x
please help me with this question. "line segment AB is drawb on the grid with endpoints A(0,8) and B(6,0). Using only a straightedge and the grid itself divide AB into 4 congruent segments. Explain how you did this and why it works" please explain too
Answer:
10/4
Step-by-step explanation:
We can use the pythagorem theorem to solve for what is AB
6^2+8^2= c^2
36+64= c^2
100=c^2
c= 10= AB
Since we know that AB is 10 then we can divide it by 4
10/4
Suppose the point (a, b) lies in the first quadrant. Describe how you would move
from the point (a,b) to the point (a, -b).
Answer:
To move from (a, b) to (a, -b) move down 2b. The point (a, -b) would be in quadrant 4 and would be a reflection across the x-axis of the point (a, b)
Step-by-step explanation:
Which sequence of transformations would yield a triangle similar to the original triangle but not congruent?
A) rotation and dilation
B) reflection and rotation
C) translation and rotation
D) reflection and translation
Answer:
dilation and rotation.
Step-by-step explanation:
What is the area of a circle with a radius of 7 cm? (Use 3.14 for , and round to the nearest tenth.)
38.5 cm?
44.0 cm?
150.0 cm
153.9 cm?
so the right answer is 153.9 cm ^2
Look at the attached picture ⤴
Hope it will help u....
Answer:
so the right answer is 153.9 cm ^2
Look at the attached picture ⤴
Hope it will help u....
Step-by-step explanation:
Hanah's necklace is 10 1/5 inches long.Erin's necklace is 2 2/3 times as long. About how long erin's necklace
Answer:
I think it's 2.7 but I'm not sure
what is the slope of the line that passed through (3,-4) and (4,9)
Step-by-step explanation:
Step 1: Find the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{9-(-4)}{4-3}[/tex]
[tex]m =\frac{9+4}{1}[/tex]
[tex]m=13[/tex]
Answer: The slope is 13
Marina wants to install security cameras in her store, which has dimensions 48 feet by 48 feet. Each camera can view an area of approximately 128 ft2, with a viewing area shaped like a right triangle. The distance between grid lines is 4 feet. The viewing area of a camera is shown on a grid. The grid is 48 feet by 48 feet, with each square having side lengths of 4 feet. The camera has a triangular viewing area of 128 feet squared. The right triangle has 2 side lengths of 16 feet. How many cameras will be necessary to cover the entire store? 6, 9, 12, 18
She would need 18 cameras
Answer:
18
Step-by-step explanation:
The function f(x) is given by the set of order pairs.
{(1,0) (-10,2), (0,6) (3,17),(-2,-1)}
Which equation is true?
f(-10) = 1
f(2) = -10
f(0) = 6
f(1) = - 10
Answer:
option a)
Step-by-step explanation:
mark my answer thank you!
Answer:
The correct answer is f(-10)=1
I hope I helped!! :)
M-line is a company that prints and sells custom designs on t shirts. For each order, they charge an initial design fee and then an additional fee for each printed t shirt. M- line charges M euros per order. This charge is modeled by the lunar function M (x) = 5x + 40, where x is the number of t shirts in the order. Write down the initial design fee charged for each order.
Answer:
The initial design fee charged per order is 40
Step-by-step explanation:
From the question, we are told that the company charges an initial design fee then additional fee for each printed t shirt
Therefore, if the cost of an order is y, we have;
y = m·x+i
Where:
i = Initial design charge
m = additional fee for each printed shirt
x = number of shirts
Comparing the above equation with the given equation we have
y = m·x + i
M (x) = 5·x + 40
Hence, where M(x) = y = Charge per order, then it is noted that the coefficient of x is the additional fee per printed shirt, therefore, the initial design fee charged per order, i is equivalent to 40
Hence the initial design fee charged per order = 40.
What is the difference between qualitative and quantitative
Answer:
Step-by-step explanation:
There are two general types of data. Quantitative data is information about quantities; that is, information that can be measured and written down with numbers. Some examples of quantitative data are your height, your shoe size, and the length of your fingernails.
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
A.Use the distance formula to find the length of each side, and then add the lengths.
B.Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
C.Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
D.Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
Answer:
Its A!!!! trust me
Step-by-step explanation:
I don’t know how to solve this please help I’ll give you 60 points
Answer:
x=58
FDE=61
Step-by-step explanation:
Since FDA and ADC are supplementary angles, their angle measures add up to 180 degrees. You can therefore write down the following equation:
2x+3+x+3=180
3x=174
x=58 degrees
FDE=ADC= x+3=61 degrees. Hope this helps!
What is the sum of infinity sigma n = 1 2 (1.5)^n-1
Answer:
S= 5/2
Step-by-step explanation:
Answer:
ITS D YALL JUST TOOK THE TEST 2021
Step-by-step explanation:
f(x) = -7x2 + 8x + 2
What is the value of the discriminant of f?
How many x-intercepts does the graph of f have?
Answer:
120
2 real intercepts
Step-by-step explanation:
f(x) = -7x^2 + 8x + 2
The discriminant is
b^2 -4ac
where ax^2 +bx+c
a=-7 b =8 c=2
The discriminant is
8^2 - 4(-7) (2)
64 +56
120
This will have 2 real x intercepts because 120>0
Answer:
120 ; Two
Step-by-step explanation:
-7x2 + 8x + 2
B² - 4AC
8² - 4(-7)(2)
64 - (-56)
120
Since 120 > 0, the graph will have two distinct x-intercepts