Fewer than %97 of adults have a cell phone. In a reputable poll of 1160 adults, %88
said that they have a cell phone. Find the value of the test statistic
The value of the test statistic of the hypotheses is; -17.969
How to find the test statistic?
The test statistic is defined as a number, calculated from a statistical test, which is used to find if your data could have occurred under the null hypothesis.
We are given;
Sample size; n = 1160
Sample proportion; p^ = 88% = 0.88
Population proportion; p = 97% = 0.97
The claim is about the population proportion (p) in the hypotheses. Since we are told that fewer than 97% of adults have a cell phone, then the claim is; p < 0.97
The null hypothesis is expressed as;
H₀: p = 0.97
The alternative hypothesis is expressed as;
Hₐ: p < 0.97
The value of the test-statistic is gotten from the formula;
z = (p^ - p)/(√(p(1 - p)/n))
z = (0.88 - 0.97)/(√(0.97(1 - 0.97)/1160))
z = -17.969
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Joel sold her house for $545,450, which was 85% of the amount she paid for it.
Calculate the amount she paid for the property.
Round to the nearest cent
Given m=-1/2 and n= -1/3 which is greater
Answer: n is greater than m
Step-by-step explanation:
if m=-1/2 then that means its -.50 and n=-1/3 meaning its -.333(...)
so n is greater (remember its negative so higher numbers are actually lesser in value)
Hope this helped... :)
Which of the following statements would be represented with P → Q? Question 14 options: A) x = 5, but y = 9. B) If x = 5, then 2x = 10. C) x = 5, and 2x ≠ 8. D) x = 5 if and only if y = 9.
The statement that can represent P = Q is If x = 5, then 2x = 10. That is option B.
What is equivalent value?An equivalent value is defined as the value or an equation that can be used to replace another value in an expression.
From the question, the expression P--> Q means that P = Q.
The statement that shows that a value is equivalent to the other;
x = 5, then 2x = 10
That is, X = 5 can also be written as follows;
2x = 10.
This is because, when 2x = 10 is simplified, X = 10/2 =5
Therefore, P =Q because both shears the same value and can be said to be equivalents.
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Find the value of x.
36
x+3
x=?
Answer:
x = 15
Step-by-step explanation:
A segment joining the midpoints of two sides of a triangle is half the length of the third side , then
x + 3 = [tex]\frac{1}{2}[/tex] × 36 = 18 ( subtract 3 from both sides )
x = 15
A pentagon is transformed according to the rule R0, 180°. Which is another way to state the transformation?
Answer:
Using transformation rules, the transformation can also be stated by option A, that is (x, y) → (–x, –y).
------------------------------------
The first option, of (x, y) → (–x, –y), is a rotation of 180º degrees around the origin, which is the transformation made on the pentagon.
As for the other transformations:
The second option, (x, y) → (–y –x), is a reflection around the line y = -x.
The third option, of (x, y) → (x, –y), is a reflection across the x-axis.
The fourth option, of (x, y) → (–x, y), is a reflection across the y-axis.
Step-by-step explanation:
A system of equations is shown below.
What is the value of y for the solution to the system? [2z - y = 3
（エー3y=4
A.2
B.1
c.-1
D.-5
Answer:
option c
y = -1
Step-by-step explanation:
2x - y = 3 -----------------(1)
x - 3y = 4 ------------------(2)
from equation (2)
x = 4 + 3y-------------------(3)
substituting the value of x in equation (1)
2(4+3y) - y = 3
8 + 6y - y = 3
5y = 3-8
5y = -5
y = -1
substituting the value of y in equation (3)
x = 4 - 3
x = 1
Write a sentence for 2(3+5n)=an
The sentence which represents the algebraic equation is; "Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".
Which sentence represents the algebraic expression?It follows from the task content that the sentence which represents the equation given be determined.
First, the expression 3 + 5n can be interpreted as; the sum of 3 and 5 times a number, n.
Also, the expression "an" can be interpreted as the product of n and another number a.
Therefore, the whole equation; 2(3+5n)=an can be interpreted as;
"Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".
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Can you please help and finish with steps by 8/11/2022 PLEASE !
Answer:
squares: 1, 36, 64, 289, 324cubes: 1, 64, 125, 216, 512Step-by-step explanation:
You want lists of the perfect squares and perfect cubes from the set {1, 36, 64, 98, 125, 216, 289, 324, 480, 512}.
Perfect squaresA "perfect square" is the square of an integer, the value obtained by multiplying the integer by itself.
Squares of numbers 1–10 are ...
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
And from 11–20:
121, 144, 169, 196, 225, 256, 289, 324, 361, 400
The squares on your list are 1, 36, 64, 289, 324.
Perfect cubesA "perfect cube" is the cube of an integer, the value obtained by using the value 3 times as a factor in a product. (n³ = n×n×n)
Cubes of numbers 1–10 are ...
1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
The cubes on your list are 1, 64, 125, 216, 512.
__
Additional comment
Any integer to the 6th power will be both a perfect square and a perfect cube. The integers 1 = 1⁶, 64 = 2⁶, and 729 = 3⁶ are such numbers.
A candy company sells peanut brittle and almond bark. The information for both types of candy is shown.
graph labeled Peanut Brittle with x axis labeled weight in ounces and y axis labeled cost in dollars with a line from point 0 comma 0 going through 10 comma 10
Almond Bark
Weight (ounces) 4 12 16
Cost (dollars) 5 15 20
Determine how much more one candy costs per ounce than the other candy.
Almond bark costs $0.25 more per ounce than peanut brittle.
Peanut brittle costs $0.25 more per ounce than almond bark.
Almond bark costs $0.20 more per ounce than peanut brittle.
Peanut brittle costs $0.20 more per ounce than almond bark.
The correct option regarding the proportional relationships for the costs of the Peanut Brittle and for the Almond Bark are given as follows:
Almond bark costs $0.25 more per ounce than peanut brittle.
What is a proportional relationship?A proportional relationship is a special case of a linear function, with slope k and intercept 0, hence the output variable y is obtained with the multiplication of the input variable x and the slope k, as follows:
y = kx.
The Peanut Brittle graph goes through the point (10, 10), hence the constant, which is the price per candy, is obtained as follows:
10k = 10
k = 10/10
k = 1.
For Almond Bark, the price per candy is obtained as follows, from the table:
4k = 5
k = 5/4
k = 1.25.
Hence the difference of the prices is:
1.25 - 1 = $0.25.
Which means that the first option is correct.
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Answer:
Almond bark costs $0.25 more per ounce than peanut brittle.
Step-by-step explanation:
Scott must choose a number between 55 and 101 that is a multiple of 2,4, and 5. Write all the numbers that he could choose.
Answer:
60, 80, 100
Step-by-step explanation:
All 3 of these numbers are between 55 and 101, and can be divided by all 3 numbers provided.
Describe in words where the square root of 50 minus 10 would be plotted on a number line.
Between −3 and −2, but closer to −3
Between −3 and −2, but closer to −2
Between 6 and 7, but closer to 6
Between 6 and 7, but closer to 7
The required value lies Between 6 and 7, but closer to 6. Option C is correct.
Given that,
The square root of 50 minus 10 would be plotted on a number line.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
According to the question,
= √[50-10]
= √40
= 6.32
Which is closer to 6.
Thus, the required value lies Between 6 and 7, but closer to 6. Option C is correct.
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x^2-25 , (x+5) quotient and remainder
The quotient when ([tex]x^{2} -25[/tex]) is divided by (x+5) is (x-5) and the remainder is 0.
According to the question,
We have the following information:
([tex]x^{2} -25[/tex]) is divided by (x+5)
Now, we can solve this using two ways. First method is to use the long division method and second is to solve the expression using an identity.
We know that the following identity can used to expand the dividend:
[tex]a^{2} -b^{2} = (a+b)(a-b)\\[/tex]
In this case, we have a = x and b = 5.
[tex]x^{2} -(5)^{2} = (x-5) (x+5)[/tex]
Now, we have the following expression:
(x+5)(x-5)/(x+5)
(x-5)
Now, the remainder is 0.
Hence, the quotient when ([tex]x^{2} -25[/tex]) is divided by (x+5) is (x-5) and the remainder is 0.
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NO LINKS!! Please help me with these graphs Part 3
Answer:
[tex]\textsf{a.} \quad x = 1 - \sqrt{7},\quad x = 1 + \sqrt{7}[/tex]
b. y = -6
c. Minimum point at (1, -7).
d. Domain: (-∞, ∞)
e. Range: [-7, ∞)
f. See attachment.
Step-by-step explanation:
Given function:
[tex]\text{f}(x)=x^2-2x-6[/tex]
As per the question, use a graphing calculator to graph the given function.
Part aThe x-intercept(s) are the points at which the curve crosses the x-axis.
x-intercepts: [tex]x = 1 - \sqrt{7},\quad x = 1 + \sqrt{7}[/tex]The y-intercept is the point at which the curve crosses the y-axis.
y-intercept: y = -6Part cFrom inspection of the graph:
Minimum point at (1, -7).Part dThe domain of a function is the set of all possible input values (x-values).
The domain of the given function is unrestricted.
Domain: (-∞, ∞)Part eThe range of a function is the set of all possible output values (y-values).
As the function has a minimum point at y = -7, the range is restricted.
Range: [-7, ∞) Part fGraph label the axes using a scale of 1 (see attachment).
Plot the minimum point (1, -7).There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials..
Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11
Compare the theoretical probability and experimental probability of pulling a brown marble from the bag.
The theoretical probability, P(brown), is 50%, and the experimental probability is 25%.
The theoretical probability, P(brown), is 50%, and the experimental probability is 22.5%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 13.0%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
In this question, we have been given there are 10 brown, 10 black, 10 green, and 10 gold marbles in bag.
The theoretical probability of pulling a brown marble from the bag would be,
P = 10/40
P = 0.25
P = 25%
A student pulled a marble, recorded the color, and placed the marble back in the bag.
The frequency of each color pulled during the experiment after 40 trials is:
Brown 13
Black 9
Green 7
Gold 11
So, the experimental probability of pulling a brown marble from the bag would be,
P = 13/40
P = 0.325
P = 32.5 %
Therefore, the theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
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Answer: The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
Step-by-step explanation: :)
7
7
^
Why is randomization important?
Select the statement that best answers the question.
to ensure all treatment groups receive experimental units
to ensure all treatment groups are roughly equivalent regarding the experimental units
to ensure that all treatment groups are roughly equivalent regarding the variability within the experimental units
4) Intro
English
The correct answer is Option A.
Randomization important because it is used to ensure all treatment groups receive experimental units .
What is randomization ?Randomization is mostly used in experiments to establish a cause and effect link and regulate the underlying variable. Also, the evidence is strengthened by randomizing an experiment. Good. To ensure that the outcomes are accurate, randomization is mostly used in experiments.Every experimental unit has the same chance of receiving any therapy, and treatments are distributed to them entirely at random. -A random number table, computer, program, etc. are used to perform randomization.Fixed allocation randomization and adaptive randomization are the two main categories of randomization techniques. The majority of trials employ fixed randomization, in which subjects are assigned to the intervention or comparator with a probability that remains constant over the course of the investigation.
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Answer:
the answer is c. to ensure that all treatment groups are roughly equivalent regarding the variability within the experimental units
Step-by-step explanation:
measure the diameter of 1 rupee coin 2 rupee coin and Rs 5 coin find their circumference
(not suppose)
The area of the play area is 286.56 square feet. A border is planned around the perimeter of the play area. How many feet of material are needed for the border?
Answer:
Step-by-step explanation:
The length of material needed for the border is the perimeter of the backyard play area
How to calculate the length of material needed
The area of the play area is given as:
The area of a trapezoid is calculated using:
Where L1 and L2, are the parallel sides of the trapezoid and H represents the height.
The given parameter is not enough to solve the length of material needed.
So, we make use of the following assumed values.
Assume that the parallel sides are: 25 feet and 31 feet long, respectively.
While the other sides are 10.2 feet and 8.2 feet
The length of material needed would be the sum of the above lengths.
So, we have:
Using the assumed values, the length of material needed for the border is 74.4 feet
A candidate for mayor is calling 882 registered voters to remind them about the upcoming election if the candidate has 49 volunteers and each person calls the same numbers of voters how many voters will volunteer call
The number of voters that each volunteer call is 18.
What is voting?It is important to note that voting is done to choose a particular person during elections.
In this case, the candidate for mayor is calling 882 registered voters to remind them about the upcoming election and the candidate has 49 volunteers.
Since they gave same number of voters, this will be:
= Number of voters / Number of volunteers
= 882 / 49
= 18
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the width of a desk is 3 inches lees than its length write an expression to represent the width of the desk
The expression to represent the width of the desk is (x-3) inches where x is the length of the desk.
According to the question,
We have the following information:
The width of a desk is 3 inches less than its length.
Now, let's take the length of the desk to be x inches.
Now, we will convert the given word sentence using this variable into an algebraic expression.
Note that the words less than means that the number has to be subtracted from the length of the desk.
So, we have the following expression:
Width of the desk = (x-3) inches
Hence, the expression to represent the width of the desk is (x-3) inches where x is the length of the desk.
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Question 1 (1 point) Saved Is the following statement True or False? We want to use the formula A = ½ab(sin(C)). Consider an obtuse triangle ABC. We know the lengths of a,b and c. but only know the angle for B. Are we are still able to use this formula? True False
Answer:
1). True
2). x = 16.4 m^2
3). A = 24, h = 4
4). A = 18.39
5). 162
Step-by-step explanation:
I took this quiz on K12 and got everything correct! Brainliest welcome! :)
Anthony wants to start making periodic investments in a retirement account. He will make a yearly contribution of $3,000 at the beginning of each year. The account will pay 7.2% interest, compounded monthly. How much will his account be worth after 35 years?
After 35 years, Anthony's account is going to be worth $34193.12
How to solve for the compound interestThe formula for the compound interest is given as
[tex]A = P(1 + r)^t[/tex]
Where we have the principal = 3000
the rate of interest = 7.2%
The period of time = 35 years
We have to input these values in the formula above so that we would have
A = 3000 ( 1 + 0.072)³⁵
A = 3000 x 11.398
= $34193.12
Hence we would have that after the period of 35 years, the account would be worth $34193.12
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Write an absolute value equation which means t is 7 units
from zero.
The photo added is the question.
By taking some products we will see that the total number of cupcakes ordered is 6 cupcakes.
How many cupcakes are ordered?Here we want to see how many cupcakes this person is ordering. We know that orders 9 halves of a cupcake for the family, plus a quarter of a cupcake for each of the 6 friends.
The total number of cupcakes is given by the order for the family plus the order for the friends.
The order for the familiy is given by the product:
9*(1/2) = 9/2 = 4.5
That is 9 times 1/2 of a cupcake, so for the family the person orders 4.5 cupcakes.
For the friends the person orders 6 times 1/4 of a cupcake, so now we have the product:
6*(1/4) = 6/4 = 3/2 = 1.5
If we add these two numbers we get the total number of cupcakes:
4.5 + 1.5 = 6
The person ordered 6 cupcakes.
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The scores on a psychology exam were normally distributed with a mean of 72 and a standard deviation of 6. A failing
grade on the exam was anything 2 or more standard deviations below the mean. What was the cutoff for a failing
score? Approximately what percentage of the students failed?
The cutoff for a failing score was?
Cut off for the failing score is 60.
Percentage of the student failed is 12.5%.
What is standard deviation?
The term "standard deviation" (or "SD") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
What is normail distribution?
A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.
Given that,
mean = 72
standard deviation = 6
So,
(a) Cutoff score = mean-(2 x standard deviation) [tex]=72-(2\times 6)[/tex][tex]= 72-12[/tex] [tex]=60[/tex].
(b) In a normal distribution, 95% of students fall on both sides of mean in 2 standard deviations range. i.e., [tex]\frac{95}{2} = 47.5[/tex] of students between mean and (mean-2 x standard deviation). So, the percentage of students below 2 standard deviations from mean = 60-47.5 = 12.5%.
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Can someone awnser all three questions please.
Answer:
Step-by-step explanation:
87
99
128
17. Copy each statement. Insert +, -, x, or ÷ symbols to make each statement
true.
a. 17 ? 2? 3 ? 8 = 3
b. 33 ? 3? 2 ? 5 = 1
Answer:
a. 17 - 2 × 3 - 8 = 3
b. 33 ÷ 3 - 2 × 5 = 1
Step-by-step explanation:
a. 17 - 2 × 3 - 8 = 3
b. 33 ÷ 3 - 2 × 5 = 1
algebra help pleaseee
Answer:
3x^2-2x+3+1/x+2
Step-by-step explanation:
Find the product. Simplify your answer
2x² (4x³+2y¹)
12x³y +6
08x5 +4y6
48x5y6
8x5 +8x²y¹
Answer: The answer is D bc i did the test before hope you have a great day:]
Step-by-step explanation:
8
x
5
−
6
x
4
+
12
x
3
y=-2x^2+20x-2 what is the maximum or minimum value of the function
The Minimum value is y(min) = 48 , x = 5 and The maximum value is [tex]y = -2(x -5)^2+48[/tex]
Given,
In the question:
The given Function is :
[tex]y = -2x^2 + 20x -2[/tex]
To find the maximum or minimum value of the function:
Now, According to the question:
For maximum value:
The given Function is :
[tex]y = -2x^2 + 20x -2[/tex]
Take out the leading coefficient is :
[tex]y = -2(x^2 + 10x) -2[/tex]
Complete the square:
[tex]y = -2(x^2 + (2(-5))x +(-5)^2+(-2-(-2).(-5)^2)[/tex]
Express the function in vertex form:
[tex]y = -2(x -5)^2+48[/tex]
For Minimum Value:
y(min) = 48
x = 5
Hence, The Minimum value is y(min) = 48 , x = 5 and The maximum value is [tex]y = -2(x -5)^2+48[/tex].
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