Final answer:
The hypothesis test in question is a left-tailed test based on the claim that less than 8% of the subjects would experience headaches. With a z-value of 0.233126 and a stated significance level of 0.01, the D-value of 0.592168 suggests that there is not enough evidence to reject the null hypothesis.
Explanation:
When analyzing the clinical trial data for a drug used to treat asthma, we consider the provided information regarding the subjects experiencing headaches. With 21 out of 250 subjects reporting headaches, and a claim that less than 8% would experience this side effect, we set up a hypothesis test to determine if the claim holds at a 0.01 significance level. Given that the alternative hypothesis is prop < 0.08, which strictly tests for proportions lower than 8%, this is a left-tailed test.
The test statistic provided is a z-value of 0.233126, and the decision value (D-value) is 0.592168. Since the significance level is 0.01 and the test is left-tailed, we check if the z-value falls into the critical region defined by the significance level. If the z-value corresponds to a p-value lower than 0.01, we would reject the null hypothesis. Otherwise, we would fail to reject the null hypothesis.
In the context of large-sample hypothesis tests, as noted in a paragraph mentioning that 'the large-sample 1 - PropZTest provides the approximate p-value', when the p-value from the normal approximation is close to the level of significance, the exact p-value should be calculated using binomial probabilities. However, because the statistical calculator has provided a D-value (which relates to the p-value) significantly greater than the 0.01 significance level, we have sufficient evidence to fail to reject the null hypothesis, implying that there is not enough evidence to support the claim that less than 8% of treated subjects experienced headaches.
The area of a square can be expressed by the polynomial expression 16x^4 -16x^2 +4. What is the polynomial expression for the length of a side?
Answer:
4x+2
Step-by-step explanation:
[tex]16x^{4}-16x^{2}+4=16x^{2}+4[/tex]
[tex]\sqrt{16x^{2}+4}[/tex]
[tex]\sqrt{16}*(\sqrt{x^{2}})+\sqrt{4}=4(x) +2=4x+2[/tex]
Find the height of the parallelogram in which A= 7.5 m^2
Step-by-step explanation:
Given the area of the Parallelogram
[tex]A=\:7.5\:m^2[/tex]
The area of a parallelogram is defined as the multiplication of its base and height.so
A = base × height
Plugging A = 7.5 m² in above equation
7.5 m² = base × height
height = base ÷ 7.5 m²
Therefore, height of the parallelogram with area 7.5 m² is : base ÷ 7.5 m²
Evaluate the following.
15:5+3+4x6
Answer:
15:32
Step-by-step explanation:
15:5+3+4×6
Using BODMAS rule
15:5+3+(4×6)
15:5+3+24
So add up
15:32
Since the two cannot be divided by the same number,we will have to leave the answer as
15:32
Suppose you invested $500 in K-Mart stock in October
of 2001. Each month the stock lost 2% of its value.
How much was the stock worth in October of 2002?
(HINT: The loss is per MONTH.)
Answer:
$380
Step-by-step explanation:
Amount invested in October 2001 = $500
If 2% is lost on stock each month, amount lost every month will be 2% of $500
= 2/100×$500
= $10
In order to know how much the stock will cost by October 2002, we need to know the number of month there is between October 2001 and October 2002.
The number of months within this period is 12months
If $10 is lost per month, the total stock lost for 12months will be
$10×12 = $120
Stock worth by October 2002 = Money invested - Total stock loss
Stock worth by October 2002 = $500-$120
= $380
determine the slope of (5,6) & (3,9)???
Answer:
3/-2
Step-by-step explanation:
What is the next arithmetic sequence 1 3 5 7 9
Answer:
11
Step-by-step explanation:
You are adding 2 every time:
1+2=3
3+2=5
5+2=7
7+2=9
9+2=11
The next term in the sequence is 11.
Therefore the complete the series is : 1, 3, 5, 7, 9, 11 .
Arithmetic sequence : Sequence in which the difference between two consecutive terms is same .
Given, Arithmetic sequence : 1, 3, 5, 7, 9 .
So, after analyzing the sequence the common difference between two consecutive terms is 2.
Thus in the sequence add 2 to the first term , then the next term is obtained. Like,
1 + 2 = 3
3 + 2 = 5
5 + 2 = 7
7 + 2 = 9
Therefore the next term will be,
9 + 2 = 11
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Can you help me with this plz
Answer:
m<U=95
m<W=85
m<T=119
m<V=61
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary, so add up <U and <W to equal 180.
z=6
To find <V, subtract <T from 180.
Brianna recorded the high temperatures in her town each day for 8 consecutive days. Her data are shown. 78 , 65, 72 , 80, 68 , 77, 75 , 52 Which is not a true statement about the data ?
Answer:
D)50% of the temperatures are less than 77.5 degrees
Step-by-step explanation:
The correct amount of temperatures that are less than 77.5 degrees is 6/8, or 75%. So D) is false.
can you solve this equation using the quadratic formula with step-by-step process?
2 − 24 = 10x
A triangle has an area of 70 square inches. The height of the triangle is 8 inches. Write and solve an equation to find the length of the base of the raingle
Answer:
70 = 1/2 b *8
17.5 inches =b
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
We know the area and the height
70 = 1/2 b *8
70 = 4b
Divide each side by 4
70/4 = 4b/4
17.5 =b
What is the measure of Angle A? (picture included)
Answer:
19.4
Step-by-step explanation:
10x-14=180
Answer:
19.4
Step-by-step explanation:
we know a + b + c = 180 so:
x + 5x + 4x -14 = 180
10x = 180 + 14
10x = 194
x = 19.4 degrees
What’s the answer????
Answer:B
Step-by-step explanation:
Answer:
D. 12
Step-by-step explanation:
The key is to separate this shape into multiple rectangles that you know how to solve the area for. The vertical rectangle has an area of 1*6=6cm, while the two horizontal rectangles each have an area of 1*3=3 cm, giving the shape a total of 12 cm. Hope this helps!
A __________________ is a specific number whose value does not change.
1 point
constant
absolute value
variable
algebraic expression
evaluating
Answer:
constant
Step-by-step explanation:
it does not change
Answer:
A constant
Step-by-step explanation:
Constants don't change
what adds to be the bottom number but also multiplies to be the top 15 8
Final Answer:
It's likely that the student is concentrating on a factoring problem. The two numbers are 5 and 3, which when multiplied together equal 8 (the small number) and 15 (the big number).
Explanation:
It appears that you are looking for two numbers that sum up to 8 and multiply by 15, since the bottom number is 8 and the top number is 15.In this case, the appropriate responses are 5 and 3. Specifically, this is why: the sum equals 5 + 3 = 8.15 is the result of multiplying 5 by 3.
So, 5 and 3 are the numbers you're looking for.
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The graph shows the salaries of 23 employees at a small company. Each bar spans a width of $50,000 and the height shows the number of people whose salaries fall into that interval. Which inequality correctly describes the relationship between the mean and the median? A) mean < median < $250,000 B) median < mean < $250,000 C) median < $250,000 < mean D) mean < $250,000 < median
Answer:
b
Step-by-step explanation:
The mean is heavily influenced by the outlier salary of $5,000,000, making it much higher than the stable median of $30,000. The correct inequality reflecting the relationship between the mean and the median salaries in this skewed distribution is median < mean < $250,000. The correct choice is option B) median < mean < $250,000.
Given the information about the salaries, the distribution has a significant skew due to the presence of an outlier. This outlier is the one employee earning $5,000,000, which is vastly different from the rest of the group who earn $30,000. When an outlier is present, the mean will be greatly affected, whereas the median will remain a more stable measure of central tendency.
The median salary in this scenario would be $30,000, as 49 out of 50 salaries are at this amount, and thus the middle value of the ranked list would not be impacted by the outlier. However, the mean would be significantly higher because it includes the $5,000,000 salary in the calculation. Since the question describes an inequality relationship between the mean and median, the correct answer is that the median is less than the mean, but both the median and the mean are less than $250,000, which leads to the correct inequality: B) median < mean < $250,000.
what basic trig identity would you use to verify that cotxsinx+cosx
Answer:
You use cotx = cosx/sinx.
Step-by-step explanation:
I guess you mean cotx sinx = cosx.
You substitute the identity cotx = cosx / sinx:
cotx sinx = (cosx / sin x) * sin x
The sin x ' s cancel to give cosx.
Final answer:
To verify that cot(x)sin(x) + cos(x) is a basic trigonometric identity, we can use the Pythagorean Identity which states that sin²(x) + cos²(x) = 1. The expression cot(x)sin(x) + cos(x) simplifies to 2cos(x), which confirms that it is a basic trigonometric identity.
Explanation:
To verify that cot(x)sin(x) + cos(x) is a basic trigonometric identity, we can use the Pythagorean Identity which states that sin²(x) + cos²(x) = 1. Let's start by expressing cot(x) in terms of sin(x) and cos(x). Since cot(x) = cos(x)/sin(x), we can substitute this into the equation:
cot(x)sin(x) + cos(x) = cos(x)/sin(x) * sin(x) + cos(x) = cos(x) + cos(x) = 2cos(x).
So, the given expression reduces to 2cos(x), which is indeed a basic trigonometric identity.
A box of a dozen breakfast bars costs $3.72, while a different box of six breakfast bars cost $1.92. Which is the better deal for the consumer and by how much?
Answer:
Better deal : dozen bars for $3.72 (It is a better deal by 12 cents)
Step-by-step explanation:
Since one has half of the amount that the other has, you multiply the price by two, and you end up with (for a dozen) $3.72, (and for 2 boxes of 6) $3.84. So, the singular box of a dozen bars wins.
:) Hope this helps! <3
Answer: the box of dozen is cheaper by 0.12
Step-by-step explanation:
3.72 /12= 0.31
1.92*2= 3.84
3.84/12= 0.32
3.84-3.72=0.12
The measure of arc OS is (4x-18)
What is the value of x?
Answer:
The value X=49.5
Step-by-step explanation:
Given:
Arc of 4x-18 is formed .
To Find:
Value of x
Solution:
Consider a circle in which arc(OS) is formed ,
with OS as diameter so the angle subtended by them is 180 degree.
...(by property of semi circle )
4x-18 =180 degrees.
4x=198
x=198/4
x=49.5 degrees.
Hence the value of X=49.5 degrees
Answer:49.5
Step-by-step explanation:
Which real-world situation can be represented by the equation y = 12x?
Group of answer choices
Dale buys pencils that come in packs of 12. He gets y total pencils for buying x packs.
Tanisha has 12 pens, and she buys x more. She now has a total of y pens.
Mary buys juice drinks that come in packs of 12. She gets x total juice drinks for buying y packs.
Seth has 12 trading cards, and he buys y more. He now has a total of x trading cards.
Answer:
Dale buys pencils that come in packs of 12. He gets y total pencils for buying x packs.
Step-by-step explanation:
12x in the equation is the 12 pencils in each pack times the number of packs (x). In the equation, y is the total, and the answer says he gets y total pencils.
Hope this helps! ☺
Select the equivalent expression
(8^2/4^4)^3 = ?
A 8^2/4^4
B 8^6/4^12
C 8^2/4^12
D 8^6/4^4
So the right answer is of option B.
Hope this will help u..
The equivalent expression of the given equation is option [tex]\frac{8^6}{4^{12} }[/tex], option B is correct.
How can equivalent expression be determined?Every mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. For instance, the formula 4m + 5 has the terms 4m and 5 as well as m, the variable, all separated by the arithmetic sign +.
Given that
[tex](\frac{8^2}{4^4} )^{3}[/tex]
The numerator = [tex](8^{2} )^{3} = 8^{6}[/tex]
The denominator = [tex](4^{4} )^{3} = 4^{12}[/tex]
Then we can combine the expression as ;
[tex]\frac{8^6}{4^{12} }[/tex]
Therefore, option B is correct.
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Y = x - 1
-x + 3/2 = -y
Answer:
It has more than one equal sign but set up like this:
Step-by-step explanation:
Let's solve for x.
y+x−1+
3
2
=−y
Step 1: Add -y to both sides.
x+y+
1
2
+−y=−y+−y
x+
1
2
=−2y
Step 2: Add (-1)/2 to both sides.
x+
1
2
+
−1
2
=−2y+
−1
2
x=−2y+
−1
2
Answer:
x=−2y+ -1/2
The difference between two numbers is 55. If the smaller number is increased by 15 and the bigger number is decreased by 15. What will be the new difference?
Answer:
25
Step-by-step explanation:
Lets say the numbers are 100 and 45.
If the smaller number is increased by 15
45+15=60
the bigger number is decreased by 15
100-15= 85
What will be the new difference?
85-60= 25
The new difference will be 25.
Given that,
The difference between the two numbers is 55.
If the smaller number is increased by 15 and the bigger number is decreased by 15.
We have to determine,
What will be a new difference?
According to the question,
Let the first number be x,
And the second number be y.
The difference between the two numbers is 55.
x + y = 55
The smaller number is increased by 15,
Then,
The number is,
45 + 15 = 60
And the bigger number is decreased by 15,
Then,
The number is,
100 - 15 = 85
Therefore,
The new difference between the new number is,
85 - 60 = 25
Hence, The new difference will be 25.
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Started at 15 degrees and dropped 1/2 degrees each minute
Answer:
based on how many minutes it pass, it the time pass one minute it will be 14.5 degrees.
when making a batch of orange juice for her basketball team, Jackie used 5 times as much water as concentrate. There were 32 more cups of water than concentrate. How much juice did she make an all? she poured the juice into quart containers. How many containers could she fill?
Answer:
Jackie can fill 10 containers
Step-by-step explanation:
5x=32+x
4x=32
x=8
so Jackie used 40 cups of water and 8 cups of concentrate to make the orange juice
4 cups equals a quart
so 40/4 = 10
Jackie can fill 10 containers
Look at these dot plots. Which statement is true about the two data sets?
Both have the same mode.
Both have a gap between 28 and 31.
Both have the same range.
Both have the same number of data points.
Answer:
Both have the same number of data points
Answer:
Both of them have the same number of data points.
Step-by-step explanation:
please give me brainlyest
Simple 3c-9d+7c+5d
Please help me
Which pair of angles is classified in the same category according to the angle measure?
Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll help you in a general way. Let's mention some categories:
1. Category of congruence:
Angles are congruent if they have the same measure. So if we have two angles:
[tex]\angle A=30^{\circ} \\ \\ \angle B=30^{\circ}[/tex]
Then they are congruent. In other words:
[tex]\angle A \cong \angle B[/tex]
1. Category of complementary angles:
Two angles are complementary if they add up to 90 degrees. So if we have:
[tex]\angle A=30^{\circ} \\ \\ \angle B=60^{\circ}[/tex]
They are complementary because:
[tex]\angle A+ \angle B=30^{\circ}+60^{\circ}=90^{\circ}[/tex]
1. Category of supplementary angles:
Two angles are supplementary if they add up to 180 degrees. So if we have:
[tex]\angle A=110^{\circ} \\ \\ \angle B=70^{\circ}[/tex]
They are supplementary because:
[tex]\angle A+ \angle B=110^{\circ}+70^{\circ}=180^{\circ}[/tex]
Answer:
the answer is A
Step-by-step explanation:
i did the assignment
Find two numbers a+b is -4 and difference a-b is 4 what's your answer
Answer:
a=0, b=-4
Step-by-step explanation:
a+b=-4.....(1)
a-b=4.......(2)
(1)+(2): 2a=0
a=0
0+b=-4
b=-4
(a, b) =(0,-4)
Use the elimination method to solve the system of equations. Choose the correct ordered pair.
x + y = 9
x – y = 7
# Choice
A. (12, –3)
B. (8, 1)
C. (7, 0)
D. (16, –7)
Step-by-step explanation:
x + y = 9 ......... equation 1
x - y = 7 ............equation 2
Now solving both equations
x + y = 9
x - y = 7
2x = 16
Therefore x = 8
Now putting x = 8 in equation 1
8 + y = 9
Therefore y = 1
Here B (8 , 1) is your answer
Hope it will help you
Answer:
Im answering so the other person can get brainliest! :))
Step-by-step explanation:
Stuck on this question.
Please help.
Answer:
I think it is -1.333...
Step-by-step explanation:
I did cross-multiply
15 y
__ = ___
-18 1.6
which is -1y=24
y= -1.333
I may be wrong though...