Answer:
The answer is D.
Step-by-step explanation:
H(o): p=0.50, H(a): p greater than 0.50
(sorry couldn't type of the greater than sign symbol)
The z-score is calculated and the appropriate hypotheses to test the candidate's claim are H0: p ≤ 0.5 and Ha: p > 0.5
What is a z-score?The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.
The Z-score is calculated using the formula:
z = (x - μ)/σ
where z: standard score
x: observed value
μ: mean of the sample
σ: standard deviation of the sample
Given data ,
A random sample of 120 voters was polled, and 65 stated they would likely vote for the candidate.
The null hypothesis assumes that the true proportion of constituents who favor the candidate is equal to or less than 0.5 (i.e., not more than half), while the alternative hypothesis assumes that the true proportion is greater than 0.5 (i.e., more than half).
The sample proportion of voters who stated they would likely vote for the candidate is:
q = 65/120 ≈ 0.542
To test the hypotheses, we can use a one-tailed z-test for proportions. The test statistic is:
So , the z-score is
z = ( q- p) / √[p(1-p) / n]
where p is the hypothesized proportion under the null hypothesis, and n is the sample size.
Using p = 0.5, we have:
z = (0.542 - 0.5) / √[(0.5)(1-0.5) / 120] ≈ 1.67
Hence , The appropriate hypotheses to test the candidate's claim are:
H0: p ≤ 0.5 (the null hypothesis)
Ha: p > 0.5 (the alternative hypothesis)
To learn more about z-score click :
https://brainly.com/question/15016913
#SPJ3
which expression is equivalent to (4^-5 * 4^4) + (2^6/ 2^3)
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A company administers a drug test to its employees. Use
the two-way table to answer the question that follows.
Total
Employee Test Results
Employee Employee
Uses is Drug
Drugs
Free
Test Positive for
20
12
Drug Use
Test Negative for
0
468
Drug Use
Total
20
480
IN
32
468
500
If a test is positive, what is the probability, written
as a percent, that the employee is guilty? If
necessary, round your answer to the nearest
percent.
Answer:
[tex]Pr = 62.5\%[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Probability that the selected employee uses drug, if the test is positive
From the attached table,
[tex]n(Positive) = 32[/tex] --- Positive for drug
[tex]n(Positive\ and\ Uses\ Drugs) = 20[/tex]
So, the required probability is calculated using:
[tex]Pr = \frac{n(Positive\ and\ Uses\ Drugs)}{n(Positive)}[/tex]
[tex]Pr = \frac{20}{32}[/tex]
[tex]Pr = 0.625[/tex]
Express as percentage
[tex]Pr = 0.625 * 100\%[/tex]
[tex]Pr = 62.5\%[/tex]
Find the area of the shape shown below.
Answer:
8 units²
Step-by-step explanation:
What you have is a square with two triangles. We will break them apart, calculate the area and then add them together.
Square: A = l · w
2 · 2 = 4 un²
Triangle: A = (b · h) ÷ 2
(2 · 2) ÷ 2 = 2 un²
4 un² + 2 un² + 2 un²
8 un²
Type the integer in the box.
Solve:: t/2 + 10 =-40
Answer:
t = -100
Step-by-step explanation:
Simplify to isolate t:
[tex]\frac{t}{2}+10-10=-40-10[/tex]
[tex]\frac{t}{2} * \frac{2}{1} = -50 * 2[/tex]
[tex]t = -100[/tex]
Which choice is equivalent to the product below when x > 0
Answer:
c
Step-by-step explanation:
[tex] \sqrt{ \frac{1}{ {x}^{2} } } \times \sqrt{ \frac{ {x}^{2} }{81} } = \frac{1}{x} \times \frac{x}{9 } = \frac{1}{9} [/tex]
The value of the expression [√(1 / x²)] · [√(x² / 81)] will be 1/9. Then the correct option is C.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below,
⇒ [√(1 / x²)] · [√(x² / 81)]
Simplify the equation, then we have
⇒ [√(1 / x²)] · [√(x² / 81)]
⇒ [1/x] · [x/9]
⇒ 1/9
The value of the expression [√(1 / x²)] · [√(x² / 81)] will be 1/9. Then the correct option is C.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ7
2. Maya Nakai deposited $3,250 at 5.5% interest compounded daily for 120 days.
Answer:
$2005296.14
Step-by-step explanation:
(3250)(1+.055)^120=2005296.1362 rounded to the nearest penny =$2005296.14
I need help solving this can you help me?
Calculate the volume of this can of baked beans:
Choices:
120.95cm3
38.5cm3
77cm3
423.32cm3
Answer:
423.32cm³
Step-by-step explanation:
Volume of a cylinder = [tex]V=\pi r^2h[/tex]
where r = radius and h = height
Given height = 11 cm
Given radius = 3.5 cm
* plug in these values into the formula *
[tex]V=\pi 3.5^211\\3.5^2=12.25 \\12.25\pi =38.48\\34.48*11=423.32\\V=423.32[/tex]
So we can conclude that the answer would be D
Which statement tells how to graph the point (3, 2) on a coordinate plane? A. LIVE From the origin, move 2 units up and 3 units to the left. B. LIVE From the origin, move 3 units to the right and 2 units up. C. LIVE From the origin, move 3 units up and 2 units to the right. D. LIVE From the origin, move 2 units to the right and 3 units down
Answer:
Step-by-step explanation:
²³
PLZ HELPPPPPPPPPPP MEEEEEEEEE
1+1 why does my dog not love me?
Answer:
2
Step-by-step explanation:
your dog doesn't love you because it saw what you did. it knows. be cautious around your dog from now on. it knows more than you think and sees all. I'm warning you
Find the quotient: 2 2/3 ÷ 3 1/4
Answer:
2/9
Step-by-step explanation:
convert mixed number to improper fraction
8/3÷3 1/4
dividing is equivalent to multiplying by the reciprocal
8/3×1/3×1/4
reduce the numbers with the greatest common factor 4
2/3×1/3
multiply the fraction
2/3×1/3=2/9
2/9 is your answer
1. The exact value of cos60
is
A) 3
3 B) 2
3 C) 2
2 D) 2
1 E) none of the above
PLSSSSSSSSSSS ASAP!!!!! Find the area of the figure shown below.
Answer:
54 square ft
Step-by-step explanation:
Find missing sides:
8+6 = 14
9-6 = 3
Find area of full rectangle:
9×8 = 72
Find the area of the missing part of the full rectangle
3×6 = 18
Find the area of the actual shape:
72-18 = 54
Area = 54 square ft
3360832553 ____ pass___ wZE2XQ
Answer:nice
Step-by-step explanation:
Answer:was this
Step-by-step explanation:
21. A Figure is shown below.
What is the area of the figure, in square inches?
Answer:
[tex]36+27\pi\:\mathrm{in^2}[/tex]
Step-by-step explanation:
The figure consists of a square and a sector. We can add the areas of the square and sector to get the total area of the figure.
The area of a sector with measure [tex]\theta[/tex] in a circle of radius [tex]r[/tex] is equal to [tex]\frac{\theta}{360}\cdot r^2\pi[/tex]. Since there are 360 degrees in a circle and 90 degrees in each corner of a square, the measure of the sector is [tex]270^{\circ}[/tex].
Thus, its area is:
[tex]\frac{270}{360}\cdot6^2\cdot pi=\frac{3}{4}\cdot 6^2\cdot \pi=27\pi[/tex].
The area of a square with side length [tex]s[/tex] is given by [tex]s^2[/tex]. Therefore, the area of the circle is [tex]6^2=36[/tex] and the total area of the figure is [tex]\boxed{36+27\pi\:\mathrm{in^2}}[/tex]
Answer: 36+27in2
Step-by-step explanation:
pleasee helpppp!!!
Answer:
2
Step-by-step explanation:
f
Answer:
x=20 degrees
6x means 6×x
120÷6=20
this means that the value of x is 20 degrees
hope it helps :)
Tobin tried to define a translation.
Point AAA maps to point A'A
′
A, prime.
Every point PPP maps to point P'P
′
P, prime such that \overline{PP'}
PP
′
start overline, P, P, prime, end overline has the same length as \overline{AA'}
AA
′
start overline, A, A, prime, end overline.
What mistake did Tobin make in her definition of a translation?
Answer:
C :)
Step-by-step explanation:
Answer:
c is correct
Step-by-step explanation:
A curve passes through a point P(0, 3) and has the property that slope of curve at every point P is twice the y-coordinate of point P. Use the concept of exponential growth function to find the equation of curve.
Answer:
The equation of curve is [tex]y = 3\cdot 7.389^{x}[/tex].
Step-by-step explanation:
The exponential growth function is represented by the expression described below:
[tex]y = a\cdot b^{x}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]a[/tex] - Initial value of [tex]y[/tex].
[tex]b[/tex] - Base.
By deriving (1), we obtain an expression for the slope of the curve:
[tex]y' = a\cdot b^{x} \cdot \ln b[/tex] (2)
If we know that [tex]x = 0[/tex], [tex]y = 3[/tex] and [tex]y' = 6[/tex], then we have the following system of equations:
[tex]a = 3[/tex] (3)
[tex]a\cdot \ln b = 6[/tex] (4)
By (3) in (4):
[tex]3\cdot \ln b = 6[/tex]
[tex]\ln b = 2[/tex]
[tex]b = e^{2}[/tex]
[tex]b = 7.389[/tex]
Therefore, the equation of curve is [tex]y = 3\cdot 7.389^{x}[/tex].
Please help soon- The weight of oranges growing in an orchard is normally distributed with a mean
weight of 6 oz. and a standard deviation of 1 oz. From a batch of 2500 oranges, how
many would be expected to weight less than 4 oz., to the nearest whole number?
What is the expanded form of 8,609?
A 8,000+600+ 90
8,000+60+9
8,000 +900+ 6
8,000+600 +9
The last one 8,000 + 600 + 9
Suppose that 50% of the watches produced by a certain factory are defective. A store buys a box with 400 watches produced by this factory. Assume That this is a random sample.(a) Write an expression for the exact probability that at least 215 watches out ofthe 400 are defective. You do not need to numerically evaluate it.(b) Argue whether the normal or the Poisson approximation is appropriate to es-timate the above probability and then estimate it.
Answer:
[tex](a)\ P(x \ge 215)[/tex]
[tex](b)\ P(x \ge 214.5) = 0.07353[/tex]
Step-by-step explanation:
Given
[tex]p = 0.50[/tex] ---- proportion of watches with defects
[tex]n = 400[/tex] --- Number of watches
Solving (a): Represent at least 215 of 400 are defective
In inequalities, at least means: [tex]\ge[/tex]
So, the probability is represented as: [tex]P(x \ge 215)[/tex]
Solving (b): Calculate [tex]P(x \ge 215)[/tex]
Normal or Poisson: Normal distribution is characterized by 2 parameters [tex]\mu[/tex] and [tex]\sigma[/tex].
These two parameters can be easily calculated from the given parameters in the question. So, we solve using normal distribution
Start by calculating the mean
[tex]\mu =np[/tex]
[tex]\mu = 0.50 * 400[/tex]
[tex]\mu = 200[/tex]
Calculate standard deviation
[tex]\sigma = \sqrt{\mu (1 - p)[/tex]
[tex]\sigma = \sqrt{200 * (1 - 0.50)[/tex]
[tex]\sigma = \sqrt{200 * 0.50[/tex]
[tex]\sigma = \sqrt{100[/tex]
[tex]\sigma = 10[/tex]
By continuity correction, we have:
[tex]x \to x - 0.5[/tex]
[tex]x \to 215 - 0.5[/tex]
[tex]x \to 214.5[/tex]
So, we have:
[tex]P(x \ge 215) = P(x \ge 214.5)[/tex]
Calculating [tex]P(x \ge 214.5)[/tex], we have:
[tex]P(x \ge 214.5) = 1 - P(x < z)[/tex]
Calculate z score
[tex]z = \frac{x - \mu}{\sigma}[/tex]
[tex]z = \frac{214.5 - 200}{10}[/tex]
[tex]z = \frac{14.5}{10}[/tex]
[tex]z = 1.45[/tex]
So, we have:
[tex]P(x \ge 214.5) = 1 - P(x < 1.45)[/tex]
Using the z score probability table, we have:
[tex]P(x < 1.45) = 0.92647[/tex]
So, we have:
[tex]P(x \ge 214.5) = 1 - 0.92647[/tex]
[tex]P(x \ge 214.5) = 0.07353[/tex]
3. Solve the following problem using PEMDAS, 3x +3 (9x
2) – 4 =?
a. 48
b. 125
c. 2
Answer:
a
Step-by-step explanatio
1. Consider this dilation in this question for A and B
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain.
Answer:
Answer:
a) enlargement
b) scale factor is 2
Step-by-step explanation:
As we can see, we went from the block to the red figure
a) Since the red figure is bigger, then what we have is an enlargement of the original figure
b) As we can see, the coordinates of the red is two times the value of the coordinates of the black
So, we can conclude that what we have as a scale factor is 2
b)
Simplify 5x2 - x2
Answer: the answer is 4x^2
Step-by-step explanation:
hope it help
What is the least common multiple of 4, 5, and 12 ?
Answer:
60
Step-by-step explanation:
The sum of two integers is 2. Their difference is 10.
What are the two integers?
-14 and -4
B
4 and 14
-2 and 4
D
-4 and 6
I need this please help me
Answer:
A. Right 6, Down 5
Step-by-step explanation:
I don't know how to explain this
pls help me loves :((
Answer:
609 m²
Step-by-step explanation:
Area of unshaded:
(6 x 18) + ((13-6) x 7) = 157
Area of overall rectangle:
36 x 28 = 1008
Area of the chunck of rectangle not included:
11 x 22 = 242
Area of shaded:
1008 - 157 - 242 = 609
Can Someone Please Help Asap!!
Answer:
y = 54
x = 36
Step-by-step explanation:
Using tan x or y = opp/adj