The equation of the number of dollar cins giuliana has, is found to be
0.25(22 – d) + d = 10.75.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that Giuliana has 22, quarters and dollar coins worth a total of $10.75.
Let the number of dollar coins be represented by d, while the number of quarter coins be represented by (22-d). Therefore, the sum of the total amount that is with Giuliana can be written as,
(1 x d) + (0.25 x (22-d)) = 10.75
d + 0.25(22-d) = 10.75
Hence, the equation can be used to find d, the number of dollar coins Giuliana has is 0.25d + 22 – d = 10.75.
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the population parameter value and the point estimate differ because a sample is not a census of the entire population, but it is being used to develop the
The population parameter value and the point estimate differ because a sample is not a census of the entire population, but it is being used to develop the point estimate.
From the question:
The population parameter value and the point estimate differ because a sample is not a census of the entire population , but it is being used to develop the point estimate.
Sample proportion p, is a point estimate of the population proportion.
So it is proved that correct option is point estimate.
Hence the population parameter value and the point estimate differ because a sample is not a census of the entire population, but it is being used to develop the point estimate.
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Find the standardized test statistic t for a sample with n = 12, 푥 = 30.2, s = 2.2, and α = 0.01 if H0: μ = 29. Round your answer to three decimal places.
Rounded to three decimal places, the standardized test statistic t is 1.573. To find the standardized test statistic t, we can use the formula:
t = (x - μ) / (s / √n)
Plugging in the values given in the question, we get:
t = (30.2 - 29) / (2.2 / √12)
t = 4.268
To round to three decimal places, we look at the fourth digit after the decimal point. Since it's 8 and greater than or equal to 5, we round up the third digit to get:
t ≈ 4.268
Therefore, the standardized test statistic t is approximately 4.268.
To find the standardized test statistic t for the given sample, we will use the t-score formula:
t = (x - μ) / (s / √n)
Where:
- x is the sample mean (30.2)
- μ is the population mean under the null hypothesis (29)
- s is the sample standard deviation (2.2)
- n is the sample size (12)
Plugging in the values, we get:
t = (30.2 - 29) / (2.2 / √12) ≈ 1.573
Rounded to three decimal places, the standardized test statistic t is 1.573.
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HELP ASAP!!!!!!!!! what is the measure of angle x?
Step-by-step explanation:
x + 149° = 180° {Being linear pair }
x = 180° - 149°
x = 31°
Hope it will help :)❤
Answer:
180-149 = 31
that's right
Please help! (Calculate the area of this circle)
Answer:
10 units hope this helps!!!!!!!
Step-by-step explanation:
Given: ABC is a right triangle with right angle C. AC=15 centimeters and m∠A=40∘.
What is BC ?
To find the length of side BC, we'll use right-triangle trigonometry as follows:
The value of the tangent function for the measure of angle A = (the length of the side opposite angle A)/(the length of the side adjacent to angle A)
tan 40° = BC/AC
tan 40° = BC/15 cm
Now, multiply both sides by 15 cm:
(tan 40°)(15 cm) = (BC/15 cm)(15 cm)
(tan 40°)(15 cm) = (BC)(15 cm/15 cm)
(tan 40°)(15 cm) = (BC)(1)
BC = (tan 40°)(15 cm)
Now, using a table of values for the trigonometric functions for angles from 0° to 90° or using a scientific calculator, we find that tan 40° = .8391 (to 4 decimal places). Now, substituting on the right side we get:
BC = (.8391)(15 cm)
BC = 12.6 cm to the nearest tenth of a centimeter.
which statement could be represented by the expression 10g - 5?
pls help its due in 10 minutes
Answer:
y=9
Step-by-step explanation:
if katie scored a 93 on a test and her calculated z score was 2.14, what does that mean
A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.
Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.
A z score represents the number of standard deviations a data point is from the mean of the data set.
A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.
The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:
z = (x - μ) / σ
= (93 - 80) / 5
= 2.6
Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.
Katie's score is 2.6 standard deviations above the mean.
A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.
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30 students took SCMA301 and recorded the number the O T-test for paired sampling average students spend more time studying for SCMA301 than SCMA212 The most appropriate method to test the above hypothesis is O Test on two proportions Test on the linear regression slope Chi-square test for independence between two categorical variables T-test assuming unequal variances for two independent samples
The most appropriate method to test the hypothesis that, on average, students spend more time studying for SCMA301 than SCMA212 is the T-test for paired sampling.
Determine the T-test for paired sampling?The T-test for paired sampling is suitable for comparing the means of two related samples. In this case, the same group of 30 students is being observed and compared in two different situations: studying for SCMA212 and studying for SCMA301.
By using the paired sampling T-test, we can analyze the differences between the two sets of paired data (hours spent studying) for each student.
This method accounts for individual differences among students, such as learning styles or study habits, by comparing each student's performance in both courses. It allows us to determine whether there is a significant difference in the mean study hours between SCMA212 and SCMA301 for the same group of students. If the T-test reveals a statistically significant difference, it supports the hypothesis that, on average, students spend more time studying for SCMA301 than SCMA212.
Other methods mentioned, such as the Test on two proportions, Test on the linear regression slope, and Chi-square test for independence between two categorical variables, are not appropriate for comparing continuous numerical data, as in this case.
The T-test assuming unequal variances for two independent samples is also not ideal because we are comparing the same group of students in two different courses.
Therefore, to determine if students spend more time studying for SCMA301 than SCMA212, the most suitable approach is to use a paired t-test to compare the average study times of students in both courses.
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Complete question here:
30 students recorded the number of hours they spent studying during the semester outside of class for SCMA212. The next semester The 30 students took SCMA301and the recorded the no of hours spent studying outside of class for it. I hypothesize that on the same 30 students took SCMA301 and recorded the number the average students spend more time studying for SCMA301 than SCMA212 The most appropriate method to test the above hypothesis is?
T-test for paired sampling
Test on two proportions
Test on the linear regression slope
Chi-square test for independence between two categorical variables
T-test assuming unequal variances for two independent samples
joe+claims+that+he+can+still+legally+drive+after+consuming+5+beers,+the+legal+bac+limit+is+0.08.+find+a+95%+prediction+interval+for+joe’s+bac.+do+you+think+joe+can+legally+drive?
Answer:
To determine whether Joe can legally drive after consuming 5 beers, we need to calculate a 95% prediction interval for Joe's blood alcohol concentration (BAC) and compare it to the legal BAC limit of 0.08.
The specific calculation of a prediction interval for Joe's BAC requires additional information such as the average increase in BAC per beer, the time elapsed since consuming the beers, and individual-specific factors affecting alcohol metabolism. Without these details, it is not possible to generate an accurate prediction interval.
However, it is worth noting that consuming 5 beers is likely to result in a BAC that exceeds the legal limit of 0.08 for most individuals. Alcohol affects each person differently, and factors such as body weight, metabolism, and tolerance can influence BAC. Generally, consuming a significant amount of alcohol increases the risk of impaired driving and can have serious legal and safety consequences.
without specific information regarding Joe's body weight, time elapsed, and other individual-specific factors, we cannot provide a precise prediction interval for Joe's BAC. However, consuming 5 beers is likely to result in a BAC that exceeds the legal limit, making it unsafe and illegal for Joe to drive. It is important to prioritize responsible and sober driving to ensure personal safety and comply with legal requirements.
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if you drag the blue dot to the midpoint between the black dots. Where you close? What is the exact coordinate of the point ?
Answer:
(4,1)?
Step-by-step explanation:
What is the difference in length between the longest meteor and the shortest meteor?
one and five eighths inches
two and one eighth inches
five and one eighth inches
five and five eighths inches
The difference in length between the longest meteor and the shortest meteor is five and five eighths inches.
To calculate the difference, we subtract the length of the shortest meteor from the length of the longest meteor.
Longest meteor - Shortest meteor = Difference in length
In this case, the longest meteor is given as five and one eighth inches, and the shortest meteor is given as one and five eighths inches.
Converting the fractions to a common denominator, we have:
Longest meteor = 5 1/8 inches = 41/8 inches
Shortest meteor = 1 5/8 inches = 13/8 inches
Now we can subtract:
Difference in length = Longest meteor - Shortest meteor
= 41/8 - 13/8
= 28/8
= 3 1/2 inches
= 3.5 inches
Therefore, the difference in length between the longest meteor and the shortest meteor is five and five eighths inches.
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A study is done to determine the attitudes of male university students towards careers. The researcher interviews 100 of the male students enrolled in a first-year course at the university. What is the sample in this situation?
all university students
male university students
the male students taking this course
the 100 male students interviewed
Answer:
I need the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
The sample is the part of the population that somebody wants to study. therefore, the sample is the 100 male students interviewed
with α = .05, what is the critical t value for a one-tailed test with n = 15?
With α = 0.05, 1.761 is the critical t value for a one-tailed test with n = 15 for a single-sample t-test.
Given that,
We have to find with α = 0.05, what is the critical t value for a one-tailed test with n = 15 for a single-sample t-test.
We know that,
α = 0.05
n = 15
One tailed t test for single sample.
We know from t-table
α = 0.05 (corresponding one -tail) and corresponding d.f = n - 1.
For sample t-test
d.f = 15 - 1 = 14
tα (0.05,14) for tail = 1.761 (from t-table)
Therefore, with α = 0.05, 1.761 is the critical t value for a one-tailed test with n = 15 for a single-sample t-test.
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A university has 30,000 undergraduate and 10,000 graduate students. A survey of student opinion concerning health care benefits for domestic partners of students selects 300 of the 30,000 undergraduate students at random and then separately selects 100 of the 10,000 graduate students at random. The 400 students chosen make up the sample. Explain why this sampling method gives each student an equal chance to be chosen. Nonetheless, this is not an SRS. Why not
In this scenario, there are 30,000 undergraduate students and 10,000 graduate students in a university. To determine student opinions about healthcare benefits for domestic partners, a survey selects 300 undergraduate students and 100 graduate students at random.
Every student has an equal chance of being selected through this sampling technique, which uses random sampling as one of the most common probability sampling methods. Therefore, it implies that every individual in the population has an equal chance of being chosen for the sample.
However, this sampling technique is not an SRS (simple random sample) because the two groups of students (undergraduates and graduates) are not randomly chosen from the population as a whole. This is a crucial criterion for the SRS definition. Each group is chosen independently of the other group. The sampling method utilizes a stratified random sampling technique, which separates the population into subgroups or strata, and then randomly selects a simple random sample from each stratum.
In conclusion, the sampling method used in this scenario is not an SRS because the undergraduate and graduate students were not randomly selected from the entire population. Nonetheless, it is a stratified random sampling technique that allows the researchers to obtain student opinions on healthcare benefits for domestic partners.
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M<2= x+49 (geometry)
What would be the 50th term than?
The 50th term is 290.
What is an arithmetic sequence?It is a sequence where there is a common difference between each consecutive term.
Example:
12, 14, 16, 18, 20 is an arithmetic sequence.
We have,
-4, 2, 8, 14,
This is an arithmetic sequence.
First term = a = - 4
Common difference.
d = 2 - (-4) = 6
d = 8 - 2 = 6
Now,
The nth term = a + (n -1)d
So,
n = 50
a = -4
d = 6
50th term.
= -4 + (50 - 1) 6
= - 4 + 49 x 6
= - 4 + 294
= 290
Thus,
The 50th term is 290.
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The complete question:
What is the 50th term of the sequence that begins −4, 2, 8, 14, ...?
a triangle has two angles 46 and 61 find out the size of the third angle
A line passes through (4,5) and (8,9)
Step-by-step explanation:
Hey there!
The equation of a st.line passing through points (4,5) and (8,9) is;
\((y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)\)
Put all values.
\((y - 5) = \frac{9 - 5}{8 - 4} (x - 4)\)
Simplify them to get equation.
\((y - 5) = \frac{4}{4} (x - 4)\)
\((y - 5) = 1(x - 4)\)
\((y - 5) = x - 4\)
\(x - y + 1 = 0\)
Therefore the required equation is: x - y + 1=0.
Hope it helps...
let p(x) = .55 and p(y) = .35. assume the probability that they both occur is .20. what is the probability of either x or y occurring?
The probability of either x or y occurring where let p(x) = .55 and p(y) = .35. is 0.7.
Events that are mutually exclusive do not occur at the same time. For example, when a coin is tossed, the outcome will be either head or tail, but we cannot obtain both. Such occurrences are also known as disjunct events since they do not occur at the same time. If A and B are mutually exclusive occurrences, the probability of each is given by P(A Or B) or P(A Or B) (A U B).
P ( X ) = 0.55
P ( Y ) = 0.35
and
P ( X ∩ Y ) = 0.2
P(X ∩ Y)=0.2
P(X∪Y) = P(x) + P(Y) - P(X∩Y)
= 0.55 + 0.35 - 0.2
= 0.7
therefore, probability of either x or y occurring is 0.7
Two occurrences are said to be mutually exclusive in probability theory if they cannot occur at the same time or concurrently. In other words, discontinuous events are those that are mutually exclusive. If two occurrences are regarded discontinuous, the likelihood of both happening at the same time is zero.
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Suppose triangle ABC will be dilated using the rule D Subscript Q, two-thirds.
Point Q is the center of dilation. Triangle A B C is 6 units away from point Q. The length of A B is 3, the length of B C is 7, and the length of A C is 8.
What will be the distance from the center of dilation, Q, to the image of vertex A?
2 units
3 units
4 units
6 units
The distance from the center of dilation, Q, to the image of vertex A will be 4 units.
According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.
Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.
By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x 3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.
Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.
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HELP PLEASE SOON :DDDDDD
Answer:
i put my money on the 2nd tho
Step-by-step explanation:
Answer:
Top Right
Step-by-step explanation:
More money was spent on fall then on the spring dance. If you look at the graph, one is higher on the amount of money spent.
A poll conducted by the UC Berkeley Institute of Governmental Studies in 2019 found that 51.7% of 4527 respondents said they considered moving out of the state. Complete parts a through c. a) Compute a 90% confidence interval for the proportion of all Californians who considered moving out of state. b) Int repret your interval in this context. Select the correct answer below and fill in the answer baxes to complete your choice: (Type integers or decimals rounded to one decimal place as needed.) A. One is 90% conficent that the probability a randomly sampled Casfornian who considered moving out of the state is between and B. One is 90% confident that the true proportion of Californans who considered moving out of the slate is between y and C. The percent of Calilomians who considered moving out of the state is between % and D. There is a 90se chance, based on this sample, that betreen … and % of Californians considered moving out of state c) Since high cost of housing has often been cited as a reason why residents move out, suppose thę state government wil consider investing in new aftordable housing initiatives if it can be reasonably sure that more than 50% of Californians would consider moving. What should the state government conclude, based on the data? Since the contidence interval _____50\%, the state government____consider investing in new atordabie housing initiatives.
Therefore, the state government should consider investing in new affordable housing initiatives.
a) To compute the 90% confidence interval, we can use the formula:
CI = p ± z*(√(p(1-p))/n)
where p is the sample proportion, z is the z-score corresponding to a 90% confidence level (which is 1.645), and n is the sample size.
Plugging in the values, we get:
CI = 0.517 ± 1.645*(√((0.517)(1-0.517))/4527)
CI = 0.505 to 0.529 (rounded to three decimal places)
b) The 90% confidence interval tells us that we are 90% confident that the true proportion of Californians who considered moving out of the state is between 0.505 and 0.529.
c) Since the confidence interval does not include the value of 0.5, which is the null hypothesis value, we can conclude that there is evidence to suggest that more than 50% of Californians would consider moving out of state due to high cost of housing.
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briefly explain the goal for defining and measuring variability. a measure of variability describes the degree to which the scores in a distribution are . variability also measures the .
Variability provides a quantitative measure of the differences between scores in a distribution and describes the degree to which the scores are spread out to clustered together. The purpose for measuring variability is to obtain an objective measure of how the scores are spread out in a distribution
What is variability ?Variability also measure how accurately individual score or sample represent the entire population
When the standard deviation is 0 , the scores have no variability.
Variability describes how far the data points are from each other and from the center of the distribution. In addition to measures of central tendency, measures of variability provide descriptive statistics that summarize the data.
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8 in. 8 in. 8 in Find the area of the figure above, [?] in
Answer:
96
Step-by-step explanation:
Total area = area of cube + area of triangle
A = 8² + \(\frac{8*8}{2}\) = 64 + 32 = 96 in²
Answer:
96 square feet
to find the area of a triangle the formula is
A=1/2×b×h
8×8=64
1/2×8×8=32
32+64= 96
Angle between two lines What is the size of the angle between the two lines 3x-2y+1=0 and x-3y=0 (answer in degrees and minutes)
15 degrees, 15 minutes a
62 degrees, 6 minutes b
43 degrees, 31 minutes c
37 degrees, 52 minutes d
I NEED HELP PLEES
Answer:
d) 37 degrees, 52 minutes
Step-by-step explanation:
3x-2y+1=0 y = 3/2 x + 1/2 ... slope₁ (m₁ = 3/2)
x-3y=0 3y =1/3 x ... slope₂ (m₂ = 1/3)
acute angle between two slopes: tan θ = (m₁-m₂) / (1+m₁*m₂)
tan θ = (3/2 - 1/3) / (1 + 3/2*1/3) = (7/6) / (3/2) = 7/9 = 0.77777777
θ = 37.875°
Can someone please tell me if I’m correct thanks I really need an answer thanks
Answer:
yeah im pretty sure you are
Step-by-step explanation:
Answer:
the last one is the correct answer
Step-by-step explanation:
In order for it to be proportional it has to go through the origin (0,0)
Proportional - y=mx
Non Proportional - y=mx+b
Is (A) correct or no????
Answer:
no
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Sea level is always represented by the number 0 unless you are reffering to how to get to see level in which case you'd have to fly down -1200 ft.
Pleaseee help me with number eight,, I don’t know how to do it at all.
A number is chosen at random from 1 to 10. Find the probability of selecting a 6 or greater.
Answer:
1/2
Step-by-step explanation:
p(event) = (number of desired outcomes)/(total number of outcomes)
How many different outcomes are there? You can choose 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10, so the total number of possible outcomes is 10.
How many outcomes are desired. The desired outcomes are any outcomes with a number 6 or higher. Which numbers are 6 or higher? 6, 7, 8, 9, 10. There are 5 outcomes that are 6 or higher, so there are 5 desired outcomes.
p(event) = (number of desired outcomes)/(total number of outcomes)
p(event) = 5/10 = 1/2
Answer: 1/2