Answer:
All parallelograms are trapezoids.
No trapezoids are parallelograms.
A trapezoid has at least one pair of parallel sides
Step-by-step explanation:
1. Since a parallelogram has two pairs of parallel sides then it has at least one pair of parallel sides. Therefore, all parallelograms are also classified as trapezoids.
2. Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram.
3. A trapezoid has one pair of parallel sides.
(I can't put a picture, but I would if I could)
The statement "All parallelograms are trapezoids", statement "No trapezoids are parallelograms" and statement "A trapezoid has at least one pair of parallel sides" are correct.
What is a trapezoid?It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
A parallelogram has at least one pair of parallel sides, since it has two pairs of parallel sides. As a result, all parallelograms are considered trapezoids.
Parallelograms have two pairs of parallel sides, whereas trapezoids have only one pair. A parallelogram can never be a trapezoid.
Thus, the statement "All parallelograms are trapezoids", statement "No trapezoids are parallelograms" and statement "A trapezoid has at least one pair of parallel sides" are correct.
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for triangle ABC with sides a,b and c the law of cosines states
c^2=
in which of the following cases must the law of cosines be used to solve a triangle?
ASA SSS SAS SSA
Option C is correct. The law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)
For a triangle, ABC with sides a, b, and c respectively, the law of cosines is used on such a triangle if there is a presence of an angle between any two sides.
For example, if angle C is between the sides a and b, the equivalent cosine rule will be expressed as:[tex]c^2 = a^2 + b^2 + 2ab cos C[/tex]
Hence the law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)
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Buteyko method, scope of inference. Exercise introduces a study on using the Buteyko shallow breathing technique to reduce asthma symptoms and improve quality of life. As part of this study 600 asthma patients aged 18-69 who relied on medication for asthma treatment were recruited and randomly assigned to two groups: one practiced the Buteyko method and the other did not. Those in the Buteyko group experienced, on average, a significant reduction in asthma symptoms and an improvement in quality of life.
(a) Identify the population of interest and the sample in this study.
(b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.
If the students in this sample can be considered representative of the population of interest, then the results___, _____generalizable. Additionally, since the study is____, _____the findingss____, _____be used to establish causal relationships.
WAY to much to read,thanks for the points and have a good day
A sample of a radioactive isotope had an initial mass of 640 mg in the year 2010 and decays exponentially over time. A measurement in the year 2014 found that the sample's mass had decayed to 440 mg. What would be the expected mass of the sample in the year 2024, to the nearest whole number?
Answer: 172
Step-by-step explanation:
Would you please help me with this?
Answer:
F
Step-by-step explanation:
An undefined slope means it's just a STRAIGHT VERTICAL line since there's no slope.
The answer would be F because it's a vertical line.
Which of the following is not a characteristic of the t test? Choose the correct answer below. A. The Student t distribution has the same general bell shape as the standard normal distribution. B. The Student t distribution has a mean of t=0 and a standard deviation of s=1. C. The t test is robust against a departure from normality. D. The Student t distribution is different for different sample sizes.
Answer:
B. The student distribution has a mean of t=0 and a standard deviation of s=1
The Student t distribution has a mean of t = 0 and a standard deviation of s=1.
Here, we have to find which is not a characteristic of the t test.
What is t test?
A t - test is a statistical test that is used to compare the means of two groups.
Now,
Here all given option is the characteristics of t - test and only the option B is not fulfill the condition of t- test.
Hence, Option B is true.
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Ms. Alders has $50 to buy prizes for the treasure box in her classroom. She bought 12 packages of stickers, 8 boxes of pencils, and 14 boxes of erasers. Each package of stickers cost $1.50, each box of pencils cost $1.35, and each box of erasers cost $0.80. How much money did Ms. Alders have left after these purchases?
A.$40.00
B.$10.00
C. $16.00
D $34.00
The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either involved in a relationship or uninvolved. Among involved people, 15 percent experience a breakup of their relationship every month. Among uninvolved people, 15 percent enter into a relationship every month. What is the steady-state percentage of residents who are uninvolved
Answer:
the steady-state percentage of residents who are uninvolved is 0.5
Step-by-step explanation:
Given the data in the question;
let N represent total number of people in the dormitory
I represent people involved in a relationship
and U represent people uninvolved in a relationship.
so
N = I + U
I = N - U ------ let this be equation 1
Rate of Uninvolved = U/N
now, given that rate of break ups B = 15% every month = 0.15
rate of entering into relationship R = 15% every month = 0.15
Now, the steady state condition is;
RU = BI ------- let this be equation 2
such that uninvolved rate is constant.
we input equation 1 into 2;
RU = B( N - U )
we divide both sides by N
RU/N = B( N/N - U/N )
RU/N = B( 1 - U/N )
U/N = B / (B + R)
so we substitute
U/N = 0.15 / (0.15 + 0.15)
U/N = 0.15 / 0.3
U/N = 0.5
Therefore, the steady-state percentage of residents who are uninvolved is 0.5
Please help me ASAP really need help!!!
Answer:
2.7
Step-by-step explanation:
the scale factor should be consistant as you scale up and down. So you can divide 4.59 by its corresponding side of 1.7 in order to get the scale factor of 2.7. When repeated with the other sides this number should remian consitant.
i’ll give brainliest please help it's due in 30 min
A machine is shut down for repairs if a random sample of 100 items selected from the daily output of the machine reveals at least 15% defectives. (Assume that the daily output is a large number of items.) Suppose that a random sample of 20 items is selected from the machine. If the machine produces 20% defectives, find the probability that the sample will contain at least three defectives, by using the following methods. (a) the normal approximation to the binomial (Round your answer to four decimal places.)
Answer:
0.7995 = 79.95% probability that the sample will contain at least three defectives.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Suppose that a random sample of 20 items is selected from the machine.
This means that [tex]n = 20[/tex]
The machine produces 20% defectives
This means that [tex]p = 0.2[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 20*0.2 = 4[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.2*0.8} = 1.79[/tex]
Probability that the sample will contain at least three defectives
Using continuity correction, this is [tex]P(X \geq 3 - 0.5) = P(X \geq 2.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 2.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.5 - 4}{1.79}[/tex]
[tex]Z = -0.84[/tex]
[tex]Z = -0.84[/tex] has a pvalue of 0.2005
1 - 0.2005 = 0.7995
0.7995 = 79.95% probability that the sample will contain at least three defectives.
-5.225 as a mixed number.
Answer:
-5 9/40
Step-by-step explanation:
What three-dimensional figure is represented by the net shown below?
A cube
B square pyramid
C rectangular prism
D rectangular pyramid
Answer:
C
Step-by-step explanation:
The net, if you imagine it folded up, will look like a long box.
Because all the dimensions are not equal, the figure cannot be a cube. Both square and rectangular pyramids have 5 faces, unlike this net.
A net of a rectangular prism, however, will have different dimensions for [tex]l[/tex] and [tex]w[/tex], and have 6 faces. So, the answer is C, rectangular prism.
Good luck ^^
The three-dimensional figure represented by the net shown below is a rectangular prism.
Option C is the correct answer.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
From the figure,
We see that it is an open rectangular prism.
All the open sides are rectangular in shape.
If we fold all the sides it will form a rectangular prism.
Thus,
The three-dimensional figure represented by the net shown below is a rectangular prism.
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help me for a brianly
Answer:
32 yd²
Step-by-step explanation:
because 8 • 4 is 32 so it's 32 yd²
Answer:
A = 32 yds^2
Step-by-step explanation:
We know the formula for the area of a rectangle is
A = lw where l is the length and w is the width
A = 4 yds * 8 yds
A = 32 yds^2
Sonya measured her pet mouse from the tip of its nose to the tip of its tail. Her mouse is fourteen hundredths of a meter long. Which of the following expresses this length as a decimal? A 0.014 0.14 C1.4 14.00
Answer:
A 0.014
Hope this helps!!!!
Find each angle measure Make sure to give all 3
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
a) 34°
b) 90°
c) 30°
thankshope it helps.Fernando and Maria are at opposite sides of a park. They plan to meet later at a fountain that is located somewhere between them. Maria will arrive at the fountain first, before Fernando even leaves his starting location. The ratio of Maria's starting location to the fountain to Fernando's starting place is 5:3. What is the location of the fountain? Round to the nearest tenth, if necessary. ( ,
Answer: the fountain is located at point (-1,-0.5)
Step-by-step explanation:
Answer: (-1 , -0.5)
Step-by-step explanation:
Use the information in the figure to determine the height of the pole.
(x + 5)^2 + (x/2 + 6)^2 = (30)^2
Take it from here.
Answer:
pole height = 29 ft
Step-by-step explanation:
x² = 30² - (1/2x + 6)² = 30² - (1/4x² + 6x + 36) = 900 - 1/4x² - 6x - 36
combine like terms:
x² = -1/4x² - 6x + 864
1 1/4x² + 6x - 864 = 0
divide both sides of the equation by 1 1/4:
x² + 4.8x - 691.2 = 0
(x - 24)(x + 28.8) = 0
x = 24 ft
pole height = 24 + 5 = 29 ft
find the value of x
pls help me!!
Answer:
[tex]x = 36[/tex]
Step-by-step explanation:
[tex]3x + x + x = 180[/tex]
[tex]5x = 180[/tex]
[tex]x = 36[/tex]
Someone please want to do my algebra assignments all due at 11 tn I need help at least ;(
Answer:
-48
Step-by-step explanation:
I think!! :)
PLEASE HELP!!!!!! I WILL MARK YOU BRAINIEST
Answer:
Measure of angle b is 42 degrees
Step-by-step explanation:
Since angle b is part of a right angle, we can see that part of the right and blue is 48 degrees, and the other part is b. So, we can do 90-48 to get 42 degrees.
Answer:
42
Step-by-step explanation:
since one of the lines for angle b makes a 90° angle all you have to do is subtract 48 from 90 and that is your answer
Find the area of the shaded region
Calculate the number of edges of the solid. Given it has 8 faces; 4 hexagons & 4 triangles
Answer:
20 Edges
Step-by-step explanation:
As this figure shows only 10 edges..so to meet the given condition (8 faces; 4 hexagons & 4 triangles) same figure is present at the back making total of 20 Edges.
Samantha makes $8.00 an hour babysitting. With the money Samantha earns babysitting, she plans to buy herself a MP3 player that costs $154.00.
Which inequality represents the number of hours Samantha would have to babysit in order to have enough money to buy the MP3 player?
A youth group takes a bus to the movie theater. The cost of a drink is $2.25, the cost of popcorn is $3.45, and the cost of a ticket is $7.00. Each student gets a ticket, a drink, and popcorn. The bus rental costs $100.
If the total cost of the trip is $252.40, how many people went?
Sandra surveyed 15 of her friends to find the number of badges and stickers they owned.
Based on the distribution of data, which observation is correct?
The mean number of stickers is about 1.3 times the mean number of badges.
The mean number of stickers is about 1.3 times the mean number of badges.
The mean number of stickers is about 0.78 times the mean number of badges.
The mean number of stickers is about 0.78 times the mean number of badges.
The mean number of badges is greater than the mean number of stickers because the tallest column is farther right.
The mean number of badges is greater than the mean number of stickers because the tallest column is farther right.
The median number of badges is greater than the median number of stickers because the tallest column is farther right.
The median number of badges is greater than the median number of stickers because the tallest column is farther right.
Answer:
8h ≥ 154
Step-by-step explanation:
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Select the action you would use to solve x - 3 - 12. Then select the property
that justifies that action.
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Subtract 3 from both sides.
D. Property: Addition property of equality
E. Property: Multiplication property of equality
F. Property: Subtraction property of equality
The bell on the clock tower rings every 15 minutes. If the bell has rung 24 times, how many minutes have passed?
Amber chose A. How did she get that answer?
Use either the shell method or the disk/washer method to find the volume of the solid (Calculus Help!!!)
Integrating with shells is the easier method.
V = 2π ∫₁³ x (√x + 3x) dx
That is, at various values of x in the interval [1, 3], we take n shells of radius x, height y = √x + 3x, and thickness ∆x so that each shell contributes a volume of 2π x (√x + 3x) ∆x. We then let n → ∞ so that ∆x → dx and sum all of the volumes by integrating.
To compute the integral, just expand the integrand:
V = 2π ∫₁³ (x ³ʹ² + 3x ²) dx
V = 2π (2/5 x ⁵ʹ² + x ³) |₁³
V = 2π ((2/5 × 3⁵ʹ² + 3³) - (2/5 × 1⁵ʹ² + 1³))
V = 4π/5 (9√3 + 64)
The curve with equation y = x - 3x + 1 is reflected in the x-axis.
Select the equation of the reflected curve.
Answer:
Step-by-step explanation:
C
Last one!!!hdbsjsbsjdsnsjsn
Answer:
Option c is correct
Step-by-step explanation:
Hope it helps✌
Answer:
9.4
3rd option
The boats are 9.4 units apart.
The answer I don’t know math and at this point I’m gonna fail 8th grade this is my last resort pls
Answer:
1: 107°
2: 73°
Line b and a is same. So, straight line is 180°. hence, 180-107=73
You apply for a job and have to take a drug test. You are curious about the error rate for the test so you do some research. You find a study where 47 out of 382 test results using this test were wrong (either a false positive or a false negative). The company that produces the drug test claims that less than 14% of the test results are wrong. Test if this seems accurate.
Answer:
Test statistic Z = -1.0
|Z| = |-1.0| < 1.96 at 0.05 level of significance.
The null hypothesis is accepted
The company that produces the drug test claims that less than 14% of the test results are wrong
Step-by-step explanation:
Step(i):-
Given that the population proportion P = 14% =0.14
Given that the sample size 'n' = 382 tests
Given that find a study where 47 out of 382 test results using this test were wrong (either a false positive or a false negative).
Sample proportion
[tex]p = \frac{x}{n} = \frac{47}{382} = 0.1230[/tex]
Null hypothesis: H₀ : P = 0.14
Alternative Hypothesis:H₁ : P≠ 0.14
Step(ii):-
Test statistic
[tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]
[tex]Z = \frac{0.1230-0.14}{\sqrt{\frac{0.14 X0.86}{382} } }[/tex]
Z = - 1.0
|Z| = |-1.0| < 1.96 at 0.05 level of significance.
Final answer:-
The null hypothesis is accepted
The company that produces the drug test claims that less than 14% of the test results are wrong