The letter r represents the sample correlation coefficient .The Pearson product-moment correlation coefficient, also known as r, R, or Pearson's r, is a measure of the strength and direction of the linear relationship between two variables that is defined as the covariance of the variables divided by the product of their standard deviations.
The sample correlation coefficient value r is 0 given,so there is no linear relationship between the 2 variables that is the body temperature and head circumference.
Marge correctly guessed whether a fair coin turned up "heads" or "tails" on sic consecutive flips. What is the probability that she will correctly guess the outcome of the next coin toss?
Answer with explanation:
It is given that ,Marge correctly guessed whether a fair coin turned up "heads" or "tails" on sic consecutive flips.
When we flip a coin , there are two possible Outcomes, one is Head and another one is Tail , that is total of 2.
Probability of an event
[tex]=\frac{\text{Total favorable Outcome}}{\text{Total Possible Outcome}}[/tex]
Probability of getting head
[tex]=\frac{1}{2}[/tex]
Probability of getting tail
[tex]=\frac{1}{2}[/tex]
⇒There can be two guesses , either it will be true and another one will be false.
So, Possible outcome of correct guess={True, False}=2
--Probability of Incorrect(False) guess
[tex]=\frac{1}{2}[/tex]
--Probability of Correct(True) guess in seventh toss
[tex]=\frac{1}{2}\\\\=\frac{1}{2} \times 100\\\\=50 \text{Percent}[/tex]
⇒Probability that she will correctly guess the outcome of the Seventh coin toss, if previous sixth tosses has correct guess
=T×T×T×T×T×T×T, where T=True guess
= 0.5×0.5×0.5×0.5×0.5×0.5×0.5
=0.0078125
=0.0078 (approx)
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a two way frequency table allows you to organize what data?
A two-way frequency table is used to organize bivariate data into a format that helps calculate relative frequencies, empirical probabilities, and analyze marginal and conditional distributions.
Explanation:A two-way frequency table allows you to organize bivariate data. This type of table is particularly useful in displaying data concerning two categorical variables, such as gender and sports preferences. The table sets up data in a way that makes it easier to calculate relative frequency and, as a result, empirical probability. It also assists in organizing the data for marginal and conditional distributions. Joint frequencies are the counts in the body of the table, while the marginal frequencies are located in the table's margins, summarizing the totals for each variable across all categories. Conditional distributions can then be analyzed, focusing on particular subsets within the table to assess probabilities within those subsets.
Anyone know this geometry question?
BRAINLIEST IF RIGHT
The image represents what geometric construction?
A) Copy an angle construction
B) Parallel lines construction
C) Copy a segment construction
D) Perpendicular from a point not on the line
Without the visual reference of an image, the specific geometric construction represented can not be accurately determined. The provided options relate to different types of geometric constructions. These include copying angles, constructing parallel lines, copying segments, and creating perpendiculars from a point not located on a line.
Explanation:The geometric construction represented by the image is not entirely clear without an image. However, if we are to interpret the options, we can make some educated assumptions. Copy an angle construction involves replicating an existing angle in a new location. A parallel lines construction typically involves creating a line parallel to an existing one. To copy a segment construction, you would reproduce a particular line segment. The option of creating a perpendicular from a point not on the line would typically involve making a line perpendicular to an existing line from a specific point not originally on that line. Without the image, we can't definitively answer the question.
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Please help. Web making by spiders is an example of which of the following
A. Innate behavior
B. Courtship
C.defensive behavior
D.reproducing
Given that ABCD is a rhombus, find the value of x (x-10)
What is (4a)^2 without exponents?
Given: Circle M with inscribed and congruent radii JM and ML Prove: m = What is the missing reason in step 8? Statements Reasons 1. circle M with inscribed ∠KJL and congruent radii JM and ML 1. given 2. △JML is isosceles 2. isos. △s have two congruent sides 3. m∠MJL = m∠MLJ 3. base ∠s of isos. △are ≅ and have = measures 4. m∠MJL + m∠MLJ = 2(m∠MJL) 4. substitution property 5. m∠KML = m∠MJL + m∠MLJ 5. measure of ext. ∠ equals sum of measures of remote int. ∠s of a △ 6. m∠KML =2(m∠MJL) 6. substitution property 7. 7. central ∠ of △ and intercepted arc have same measure 8. 8. ? 9. 9. multiplication property of equality reflexive property substitution property base angles theorem second corollary to the inscribed angles theorem Mark this and return
Answer:
substituition property
Step-by-step explanation:
you deposit $400 in a saving account with an annual rate of 4%. At this rate how much money will you have after 10 years?
PLS HELP! THIS IS FOR STATE TESTS TOMORROW!! Shannon has a garden that is 18 by 27 feet. Find the perimeter of the garden. Please submit your answer and explain how to find the perimeter.
6. Food Express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on their receipt. So far, 147 of the first 156 customers have not received a star on their receipts. What is experimental probability of winning a free gallon of milk?
A. 11/156
B. 49/52
C. 2/39
D. 3/52*****?
[tex] |\Omega|=156\\
|A|=156-147=9\\\\
P(A)=\dfrac{9}{156}=\dfrac{3}{52}\implies \text{D} [/tex]
A manufacturer packages bolts in boxes containing 100 each. each box of 100 bolts contains on average four defective bolts. the quality control staff randomly selects a box at the end of the day from an entire production run. what is the probability that the box will contain less than three defective bolts? use the poisson distribution table.
Using Poisson Distribution, the probability that the box will contain less than three defective bolts is computed by adding up the probabilities of finding 0, 1, or 2 defective bolts in a box. The average occurrence rate is 4 defective bolts on average.
Explanation:Based on the provided details, we can conclude that this is a problem involving Poisson Distribution. The key parameters here are that the box contains 100 bolts and on average, 4 bolts are defective. The question asks for the probability that the box will contain less than three defective bolts, or in other words the probability that there are either 0, 1, or 2 defective bolts in a box. With a Poisson distribution, the formula to calculate the probability is P = lambda^k * exp(-lambda) / k! where lambda is the average occurrence rate, k is the number of occurrences of the event, and exp refers to the exponential function.
To calculate the probability of finding less than 3 defective bolts, we add together the probabilities of finding 0, 1, and 2 defective bolts using the above formula. In this example, lambda = 4 defective bolts on average, and we substitute k with 0, 1, and 2 respectively. Solve these cases separately and then add them up, that will give you the probability that a box will contain less than three defective bolts.
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BRAINLIST ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1. A wooden plank is leaning against an outside wall of a building. The bottom of the plank is 3 ft from the wall. Find each of the following values, and show all your work.
(a) Find the approximate length of the plank. Round to the nearest tenth of a foot.
(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
2. A support wire is strung from a tree. The bottom of the wire is 24 ft from the tree. The length of the wire is 30 ft. Find each of the following values, and show all your work.
(a) Find the value of x. Round to the nearest tenth of a degree.
(b) Find the approximate height where the wire touches the tree. Round to the nearest foot.
Find the measure of an angle with measure between 0° and 360° that is coterminal with an angle measuring –800°. °
Answer:
280
Step-by-step explanation:
the frequency of the musical note E3 is about 164.81 Hz.
what is the frequency of the note a perfect fifth above E3.
Answer: 247.215 Hz
Step-by-step explanation:
We know that in music theory, a perfect fifth is a musical interval having inverse perfect fourth that corresponds a pair of pitches with a frequency ratio of 3:2.
Let the frequency of the note a perfect fifth above [tex]E_3[/tex] be x, then we have the following proportion.
[tex]x:164.81::3:2\\\\\Rightarrow x=\dfrac{3\times164.81}{2}=247.215[/tex]
Hence, the frequency of the note a perfect fifth above [tex]E_3[/tex] is 247.215 Hz.
Find an explicit rule for the nth term of the sequence. 9, 36, 144, 576, ...
The answer is an = 9 • 4n - 1
The explicit rule for the [tex]nth[/tex] term of the given sequence is [tex]a_n=9(4)^{n-1}[/tex].
Given:
The given sequence is [tex]9,36,144,576[/tex].
To find:
The explicit rule for the [tex]nth[/tex] term of the given sequence.
Explanation:
the first term of the sequence is [tex]9[/tex].
The ratios of two consecutive terms are:
[tex]\dfrac{36}{9}=4[/tex]
[tex]\dfrac{144}{36}=4[/tex]
[tex]\dfrac{576}{144}=4[/tex]
The given sequence is a geometric sequence because the sequence has a common ratio [tex]4[/tex].
The explicit formula for the [tex]nth[/tex] term is:
[tex]a_n=ar^{n-1}[/tex]
Where, [tex]a[/tex] is the first term and [tex]r[/tex] is the common ratio.
Substituting [tex]a=9,r=4[/tex], we get
[tex]a_n=9(4)^{n-1}[/tex]
Therefore, the explicit rule for the [tex]nth[/tex] term of the given sequence is [tex]a_n=9(4)^{n-1}[/tex].
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Area is the distance around a shape while perimeter is the space within a shape.
a) true
b) false
Volume of pyramids and cones day 1
Maria is playing a game where she is trying to draw a spade from a standard deck of cards. if she doesn't get a spade, she replaces the card, shuffles the deck, and tries again. if she draws a card 3 times and doesn't get a spade, she loses. what is the probability that maria loses the game?
A.17.8%
B.23.7%
C.42.2%
D.31.6%
Answer:
The correct answer is C. 42.2%
Step-by-step explanation:
Total number of cards in the deck of playing cards = 52
Number of spades in the deck of playing cards = 13
Number of cards other than spade = 52 - 13
= 39
If she draws a card 3 times and doesn't get a spade, she loses.
So, She loses only if he gets all the three cards other than spade
[tex]\text{Probability that she does not get a spade in first draw = }\frac{39}{52}[/tex]
Now, The card is replaced if she does not get a spade.
[tex]\text{So, Probability that she does not get a spade in second draw = }\frac{39}{52}[/tex]
[tex]\text{Similarly, Probability that she does not get a spade in third draw = }\frac{39}{52}[/tex]
[tex]\text{Thus, Probability that she will lose the game = }\frac{39^3}{52^3}=0.422[/tex]
[tex]\text{Also, The percentage of Probability that she will lose the game = }0.422\times 100=42.2\%[/tex]
Hence, The correct answer is C. 42.2%
Dylan wants to construct the midpoint M of RS which diagram shows a way Dylan can accurately construct M using only a compass and a straight edge
Given a point and a plane, how do you find a line that is parallel to the plane that passes through the point?
In the diagram below what is the approximate length of the minor arc XY
Answer:
B. 6.3 cm
Step by step explanation:
We have been given measure of central angle which intercepts to our minor arc XY.
Since we know that the formula to find measure of arc length is:
[tex]\text{Arc length}=\frac{\theta}{360}\times \text{circumference of circle}[/tex]
[tex]\text{Arc length}=\frac{\theta}{360}\times {2\pi r}[/tex]
Now let us substitute our given values in above formula.
[tex]\theta=40^{o}[/tex] and [tex]radius=9 cm[/tex]
[tex]\text{Arc length}=\frac{40}{360}\times {2\pi \cdot 9}[/tex]
[tex]\text{Arc length}=\frac{1}{9}\times {2\pi \cdot 9}[/tex]
[tex]\text{Arc length}=2 \pi [/tex]
[tex]\text{Arc length}=6.2831853071795865\approx 6.3[/tex]
Therefore, length of minor arc XY is 6.3 cm and option B is the correct choice.
Mark runs 3/4 of a mile each day for 5 days. What is the total distance that Mark has run after 5 days? A.3 3/4 B.4 1/4 C.5 3/4 D.6 2/3
Final answer:
To find the total distance Mark has run after 5 days, multiply his daily distance of 3/4 mile by 5 days, resulting in A.3 3/4 miles.
Explanation:
The question asks us to find the total distance that Mark runs over 5 days, given that he runs 3/4 of a mile each day. To find the total distance, we simply multiply the daily distance by the number of days.
Multiply the daily distance (3/4 mile) by the number of days (5 days):
(3/4) × 5 = 15/4
Convert the improper fraction to a mixed number:
15/4 is equivalent to 3 whole miles and 3/4 of a mile, which can be written as 3 3/4 miles.
Therefore, after 5 days, Mark has run a total distance of A.3 3/4 miles.
If 5 balls are placed randomly into 3 bins, what is the expected number of balls in each bin?
which of the following expressions is the inverse of the function
[tex]y = \frac{x - 2}{3} [/tex]
What are the coordinates of the center of a circle whose equation is (x + 7)2 + (y – 5)2 = 16?
a bag contains 30 lottery balls numbered 1-30 a ball is selected replaced then another is drawn find each probability
p ( and even,then odd )
p ( 7, then a number greater than 16)
p ( a multiple of 5, then a prime number )
p ( two even number )
Answer:
Given : A bag contains 30 lottery balls numbered 1-30 a ball is selected replaced then another is drawn.
To find : Each probability
1) p ( and even,then odd )
2) p ( 7, then a number greater than 16)
3) p ( a multiple of 5, then a prime number )
4) p ( two even number )
Solution :
[tex]\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}[/tex]
1) There are 15 even numbers and 15 odd numbers.
Probability of getting even first then odd is
[tex]\text{P(even,then odd)}=\frac{15}{30}\times\frac{15}{30}[/tex]
[tex]\text{P(even,then odd)}=\frac{225}{900}=\frac{1}{4}[/tex]
2) Number greater than 16 out of 30 are 14.
Probability of getting 7 first then a number greater than 16 is
[tex]\text{P(7, then a number greater than 16)}=\frac{1}{30}\times\frac{14}{30}[/tex]
[tex]\text{P(7, then a number greater than 16)}=\frac{14}{900}=\frac{7}{450}[/tex]
3) Multiple of 5 - 5,10,15,20,25,30=6
Prime numbers - 2,3,7,9,11,13,17,19,23,29=10
Probability of getting a multiple of 5, then a prime number is
[tex]\text{P(a multiple of 5, then a prime number )}=\frac{6}{30}\times\frac{10}{30}[/tex]
[tex]\text{P(a multiple of 5, then a prime number )}=\frac{60}{900}=\frac{1}{15}[/tex]
4) There are 15 even numbers.
Probability of getting two even number is
[tex]\text{P( two even number)}=\frac{15}{30}\times\frac{15}{30}[/tex]
[tex]\text{P( two even number)}=\frac{225}{900}=\frac{1}{4}[/tex]
you buy a circular rug with a diameter of 8 feet how much floor space for the rug cover
The circular rug with a diameter of 8 feet covers approximately 50.27 square feet of floor space. This was calculated by finding the area of the circle using the formula πr².
Explanation:The question refers to how much floor space a circular rug with a diameter of 8 feet will cover. To solve this, you need to calculate the area of the circle. The formula for the area of a circle is πr², where r is the radius of the circle. But we were given the diameter, which is twice the radius. So the radius of the rug is 8/2 = 4 feet.
Substitute r=4 into the formula: Area = π(4²) = 16π square feet. Therefore, the circular rug covers 16π, or approximately 50.27 square feet of floor space.
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