Gail averages 153 points per bowling game with a standard deviation of 14.5 points. Suppose Gail's points per bowling game are normally distributed. Let X= the number of points per bowling game. Then X∼N(153,14.5). If necessary, round to three decimal places.
Suppose Gail scores 108 points in the game on Thursday. The z-score when x = 108 is __
. The mean is __
Gail scores 153 points on average every bowling game, with a 14.5 point standard deviation. Assume Gail's bowling game points are evenly divided. With x = 108, the mean is 153, and the z-score is -3.103.
The z-score when Gail scores 108 points in a game is calculated as:
z = (x - μ) / σ
where x = 108 is the observed score, μ = 153 is the mean, and σ = 14.5 is the standard deviation.
Plugging in the values, we get:
z = (108 - 153) / 14.5 ≈ -3.103
Rounding to three decimal places, the z-score when Gail scores 108 points in a game is approximately -3.103.
The mean is μ = 153, which is given in the problem statement.
To learn more about z-score, refer:-
https://brainly.com/question/15016913
#SPJ1
Which of the following is equal to the expression listed below?
30 + 12
A.
6(5 + 2)
B.
(6 + 5)(6 + 2)
C.
(6 × 5)(6 × 2)
Answer:
[A] 6 (5+2)
Step-by-step explanation:
Solve each answer choice:
[A] 6(5+2) = 30+12 [True] [6*5=30 and 6*2 = 12.. So 30+12]
[B] (6+5)(6+2)=11 * 8 [False] [6+5 =11 and 6+2=8.. 11*8]
[C] (6*5) (6*2)= 30 * 12 [False] [6*5=30 and 6*2 = 12]
Hence, [A] 6(5+2) is the correct Answer .
We can also find the answer by finding all the solutions:
30 + 12 = 42
[A] 6(5+2) = 30+12 = 42
[B] (6+5)(6+2)=11 * 8=88
[C] (6*5) (6*2)= 30 * 12 = 360
[RevyBreeze]
The table shows the results of a survey of 100 people selected at random at an airport. Find the experimental probability that a person selected at random is going to City B.
The experimental probability that a person selected at random is going to City B is __
Answer:
3/50
Step-by-step explanation:
The experimental probability that a person selected at random is going to City B is 19/50.
What is the experimental probability?Experimental probability is a probability that is determined on the basis of a series of experiments.
The table shows the results of a survey of 100 people selected at random at an airport.
The total number of responses is;
= 24 + 38 + 14 +22 +2
= 100
The experimental probability that a person selected at random is going to City B is given by;
\(\rm Probability =\dfrac{Responses \ from \ city \ B}{Total \ responses}\\\\ Probability =\dfrac{38}{100}\\\\ Probability =\dfrac{19}{50}\)
Hence, the experimental probability that a person selected at random is going to City B is 19/50.
Learn more about probability here;
https://brainly.com/question/16633528
#SPJ2
The mean length of 6 rods is 44.2 cm. The mean length of 5 of them is 46 cm. How long is the sixth rod?
Answer:
The sixth rod is 35.20 cm.
Step-by-step explanation:
Get the total length of the 6 rods.
Total length = 6(44.2cm)
= 265.20 cm
Get the total length of 5 rods
Length of 5 rods = 5(46cm)
=230cm
The length of the sixth rod is the difference between the two.
Length of the sixth rod = 265.20 cm - 230 cm
length = 35.2 cm
Hey umm guys can anyone help
Max has coins worth $4.50. If the coins are all quarters, how many quarters does he have? *
Answer:
18 quarters
Step-by-step explanation:
4.50/.25=18
Answer:
He has 18 quarters
Step-by-step explanation:
Each dollar is equivalent to 4 quarters, and max has $4. Therefore max has 16 quarters. Then you add the 50 cents, which is equivalent to 2 quarters. Now you add the 16to the 2 and you get 18. Max has 18 quarters.
What is the slope of a line with the equation y = 5x + ⅖ ?
Answer:
The slope would be 5
Step-by-step explanation:
The reason why it would be five is because the slope formula is y=mx+b with m being your slope and b being your y-intercept.
Answer:
slope: 5
Step-by-step explanation:
\(y=mx+b\) is the equation used to find the slope of an equation. The slope is ALWAYS the "m" value. So.... in this equation y=5+2/5... the "m" value is 5.... making the slope of the equation 5.
suppose that the distribution for total amounts spent by students vacationing for a week in florida is normally distributed with a mean of 650 and a standard deviation of 120 . suppose you take a simple random sample (srs) of 10 students from this distribution. what is the probability that a srs of 10 students will spend an average of between 600 and 700 dollars? round to five decimal places.
The probability that the SRS of 10 students will spend an average of between 600 and 700 dollars is 0.8132.
Let x be the total amount spent by students.
x follows normal distribution with mean μ = 650,
standard deviation δ = 120
We take a simple random sample of size n = 10
We are asked to find average spending of 10 students ( \(x\) ) is between 600 and 700
We have to find P( 600 <= \(x\) <= 700)
According to the sampling distribution of the sample mean \(x\), it follows an approximately normal distribution with mean μ{\(x\)} = μ and standard deviation δ{\(x\)} = {δ}/{√n}
Therefore here mean of \(x\),( μ{\(x\)} ) = 650 and
standard deviation of \(x\), δ{\(x\)} = {120}/{√10} = 37.9473
The probability that the SRS of 10 students will spend an average of between 600 and 700 dollars is,
Let Z= x - μ / δ
Z₁ = 600 - 650 / 37.9473 = -1.32 similarly
Z₂ = 700 - 650 / 37.9473 = 1.32
From standard normal distribution table, P( -1.32 < \(x\) < 1.32) = 0.8132
The probability that the SRS of 10 students will spend an average of between 600 and 700 dollars is 0.8132
To learn more about Normal distribution click here:
brainly.com/question/15103234
#SPJ4
I need help on in the answer to this question
Notice that angle z and the angle with measure 70⁰ is a linear pair. Hence, it follows that they are supplementary (they'll sum up to 180⁰):
\(z+70^{\circ}=180^{\circ}\)Solve for z in the equation:
\(\begin{gathered} z=180^{\circ}-70^{\circ} \\ \Rightarrow z=110^{\circ} \end{gathered}\)Using the Angles formed by two intersecting chords theorem: If two chords intersect inside a circle, then the measure of the angle formed is one-half the sum of the measure of the arcs intercepted by the angle and its vertical angle , it follows that:
\(z=\frac{1}{2}(w+79^{\circ})\)Substitute z=110⁰ into the equation and solve for w:
\(\begin{gathered} 110^{\circ}=\frac{1}{2}(w+79^{\circ}) \\ \text{Cross multiply:} \\ \Rightarrow2\times110^{\circ}=w+79^{\circ} \\ \Rightarrow220^{\circ}=w+79^{\circ} \\ \Rightarrow w=220^{\circ}-79^{\circ} \\ \Rightarrow w=141^{\circ} \end{gathered}\)The value of w is 141.
Divide 3x2 + 6 by 3x – 3. which expression represents the quotient and remainder?
By applying the simplification method, it can be concluded that the expression that represents the quotient and remainder is x + 1 + (9 / (3x - 3))
Simplification is a mathematical method of operating and interpreting functions to make functions or expressions simpler or easier to understand. It rewrites a mathematical expression in a simpler or easier-to-understand form.
There are some basic steps to simplify an expression:
remove parentheses by multiplying factorsuse exponent rules to remove parentheses in terms with exponentscombine like terms by adding coefficientscombine the constantsNow we take a look at the problem, we have:
= (3x² + 6) / (3x - 3)
= (3x² - 3x + 3x + 6) / (3x - 3)
= ((3x² - 3x + 3x - 3) + 9) / (3x - 3)
= ((3x - 3)(x + 1) + 9) / (3x - 3)
= ((3x - 3)(x + 1) / (3x - 3)) + (9 / (3x - 3))
= x + 1 + (9 / (3x - 3))
Thus, the expression that represents the quotient and remainder is x + 1 + (9 / (3x - 3))
To learn more about simplification click here: brainly.com/question/12501526
#SPJ4
The sides of a central angle are two_____ of the circle
Answer:
The sides of a central angle are two radii (aka radius) of the circle
Step-by-step explanation:
Answer:
Radii
Step-by-step explanation:
Brainliest!!!
If you select a card at random from a standard deck of 52 cards, what is the probability of selecting a red card, a black queen, and a 4 or a face card?
so the probability will be: p(red)=2652=0.5 or 50% as we could guess immediatelly.
What is the value of 6 ÷ 3 x 2³
A: 2/8
B: 3/8
C: 16
D: 64
Answer:
16
Step-by-step explanation:
6 ÷ 3 x 2³
To solve this, we need to use PEMDAS.
We do the exponent first.
6 ÷ 3 x 8
Then multiply and divide from left to right.
2 x 8
16
Answer:16 I hope this helps
Step-by-step explanation:
6 divided by 3 times 2^3
Calculate the quotient
2 times 2^3
Calculate the product you will get
2^4
Write the exponentiation as a multiplication
2 times 2 times 2 times 2 times
Multiply the numbers
This will give you 16 this is your answer
Hi everyone I need help with this question on my maths test
help would be appreciated thanks
Answer:
the rotational symmetry of a rhombus is of the order 2
Step-by-step explanation:
hope it helps :)
Keith is building a fence around his garden. For every 4 feet of fencing, the cost is $28. Complete the table below showing the length of the fence and the cost.
Answer:
you would add $28 for every 4 ft?? there was no table shown but for example 8ft = $56, 12ft = $84
25. Which correctly gives the center of dilation
and scale factor of the dilation below?
A. (-8,-1); k=3/4
B. (-8,-1); k=4/3
C. (0,-5): k = 3/4
D. (0,-5); k=4/3
The required center of dilation and scale factor of a dilation is given as (0, -5) and k = 4/3. Option D is correct.
What is the scale factor?The scale factor is defined as the ratio of the modified change in length to the original length.
here,
To determine the center of dilation,
Draw a straight line Joining BB' and AA', this line meets at a point (0, -5) so this point is the required center of dilation.
Now,
From the ceter of the dilation,
The scale factor of the dilation is given as,
SF = OB'/OB
SF = 4/3
Thus, the required center of dilation and scale factor of a dilation is given as (0, -5) and k = 4/3. Option D is correct.
Learn more about Scale factors here:
https://brainly.com/question/22312172
#SPJ1
Discuss 02 dissociation curve details.
The dissociation curve is a graphical representation of the relationship between the fractional saturation of hemoglobin (Y-axis) and the partial pressure of oxygen (X-axis) under specific conditions. It provides important information about the binding and release of oxygen by hemoglobin.
The dissociation curve for hemoglobin exhibits a sigmoidal (S-shaped) shape. At low partial pressures of oxygen, such as in tissues, hemoglobin has a low affinity for oxygen and only binds a small amount. As the partial pressure of oxygen increases, hemoglobin's affinity for oxygen increases, resulting in a rapid increase in the binding of oxygen molecules. However, once the hemoglobin becomes nearly saturated with oxygen, the curve levels off, indicating that further increases in partial pressure have minimal effects on oxygen binding.
To calculate the fractional saturation of hemoglobin at a given partial pressure of oxygen, you can use the Hill equation:
Y = [O2]^n / ([O2]^n + P50^n)
Where:
Y is the fractional saturation of hemoglobin,
[O2] is the partial pressure of oxygen,
P50 is the partial pressure of oxygen at which hemoglobin is 50% saturated,
n is the Hill coefficient, which represents the cooperativity of oxygen binding.
To determine the P50 value experimentally, the partial pressure of oxygen at which hemoglobin is 50% saturated, you can plot the dissociation curve and identify the point where the curve reaches 50% saturation.
To know more about dissociation curve, refer here:
https://brainly.com/question/30766002#
#SPJ11
Jimmy, Jimbo and Jim Bob are all GT Algebra II students. It takes Jimmy 8 minutes to solve a 3-variable substitution problem without a calculator. Together, it takes Jimbo and Jim Bob 6 minutes to solve a 3-variable substitution problem without a calculator. If Jim Bob can solve a problem by himself in 14 minutes, how long would it take Jimbo to solve a problem alone?
It would take Jimbo
Question Blank 1 of 1
type your answer. Minutes to solve a problem alone
It would take Jimbo 24 minutes to solve a 3-variable substitution problem alone.
Let's assume that Jimbo takes x minutes to solve a 3-variable substitution problem alone.
We know that Jimmy takes 8 minutes to solve the same problem alone, so his work rate is 1/8 of the problem solved per minute.
Together, Jimbo and Jim Bob can solve the same problem in 6 minutes. This means that their combined work rate is 1/6 of the problem solved per minute.
We can set up the following equation to represent the work rates:
1/8 + 1/x = 1/6
To solve for x, we can multiply both sides of the equation by 24x:
3x + 24 = 4x
x = 24
Therefore, it would take Jimbo 24 minutes to solve a 3-variable substitution problem alone.
For more such questions on substitution problem
https://brainly.com/question/11819471
#SPJ4
I need help I’ve never seen something like this
Answer:
The answer is a
Step-by-step explanation:
every y value is just the x value doubled
Answer and step-by-step explanation:
The answer is A because:
When you plug in a value for x, the result (y) is twice that number, which correlates with this equation.
For example, if we plug in 5 for x, we will get 10.
2 times 5 is equal to 10. This is also shown on the table given.
You can give the user above me brainliest if you want :)
#teamtrees #PAW (Plant And Water)
What is the range of possible sizes for side x
Answer:
\(8.5+8>x,8+x>8.5\)\(16.5>x,x>0,5\)\(0.5<x<16.5\) ✔────»»❀❀❀««────hope it helps...
have a great day!!
Help ASAP!
In a circle with a diameter of 32, the area of a sector is 512(pi)/3. The measure of the angle of a sector in radians is
A.) π/3
B.) 4π/3
C.)16π/3
D.)64π/3
Answer:
B
Step-by-step explanation:
\(\boxed{area \: of \: sector = \frac{1}{2} {r}^{2} θ }\)
Radius= diameter ÷2
r= 32 ÷2
r= 16
\( \frac{1}{2} {r}^{2} θ = \frac{512\pi}{3} \)
Substitute r= 16,
\( \frac{1}{2} ( {16}^{2} )(θ) = \frac{512\pi}{3} \)
\(128 \: θ = \frac{512\pi}{3} \\ θ = \frac{512\pi}{3} \div 128 \\ θ = \frac{512\pi}{384} \)
Divide the denominator and numerator by 128:
\(θ = \frac{4\pi}{3} \)
Thus, the answer is B.
PLz help me
A group of friends wants to go to the amusement park. They have $94.25 to spend on parking and admission. Parking is $14.75, and tickets cost $13.25 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.
Equation:
Answer: p =
Answer:
equation: 14.75 + 13.25.p = 94.25
p = 6
Step-by-step explanation:
p = (94.25 - 14.75)/13.25 = 6
The cost of 4 cartons of fresh cream is $7.96. What is the cost of 14 cartons WHOEVER ANSWERS FIRST IS BRAINLIEST
Answer:1.99*14= 27.86 Monies
Step-by-step explanation:
.A key concept in agile projects is that something of value will be delivered at each iteration.
True or false?
Answer:
Step-by-step explanation:
Which statements about the relationship between the two triangles below are true? Check all that apply.Mark this and return
help me plz i need the answer ? :)
Answer:
D
Step-by-step explanation:
Topology question. Answer only subpart a. Need Asap.
3. Let (X, Jx) and (Y, Ty) be topological spaces defined as follows: X = {D, O, R, K} Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X} Y = {M, A, T, H} Jy = {0, {M}, {M, A}, {M, A, T}, Y} (a) Let E= {0, K
Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.
To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.
In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.
In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.
In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.
Learn more about topological spaces here:
https://brainly.com/question/32645200
#SPJ11
My sister keep needing help she so lazy so help her so she can leave me the heck alone
Answer:
the yellow one
Step-by-step explanation:
hope thats right tell her to leave u alone lol
if a television screen with a length-to-height ratio of 16:9 has an area of 576 square inches, what is its perimeter?
The perimeter of television is = 100 inches
What is mensuration ?The study of measuring geometric shapes and their qualities such as length, volume, shape, surface area, lateral surface area, and so on is known as mensuration. Mensuration will be covered in fundamental mathematics.
Calculationlet the length be 16x and width be 9x
area given = 576 sq. inches
16x * 9 x = 576
144 \(x^{2}\) = 576
x = 24/12
x = 2
length = 32
width = 18
perimeter = (32 + 18)*2 =100 inches
learn more about mensuration here :
brainly.com/question/14312097
#SPJ4
A random sample of 121 checking accounts at a bank showed an average daily balance of $265. The standard deviation of the population is known to be $77. (a) Is it necessary to know anything about the shape of the distribution of the account balances in order to make an interval estimate of the mean of all the account balances? Explain O No, the mean is larger than the standard deviation so we do not need to know anything about the shape of the distribution O Yes, the sample is large and the standard deviation of the population is known so we also need to know that the shape of the distribution is at least approximately beil shaped O No, the sample is large and the standard deviation of the population is known so we do not need to know anything about the shape of the distribution. O No, the standard deviation is larger than the mean so we do not need to know anything about the shape of the distribution. Yes, the mean is larger than the standard deviation so we also need to know that the shape of the distribution is at least approximately bell shaped (b) Find the standard error of the mean (in dollars). (c) Give a point estimate of the population mean (in dollars). (d) Construct an 80% confidence interval for the population mean (in dollars). (Round your answers to the nearest cent.) $ to $. (e) Construct a 95% confidence interval for the population mean (in dollars), (Round your answers to the nearest cent) $ to $
(a) No, sample is large and the standard deviation of the population is known so we do not need to know anything about the shape of the distribution. Therefore, the correct option is C.
(b) The standard error of the mean is $7.
(c) The point estimate of the population mean is $265.
(d) The 80% confidence interval for the population mean is $254.62 to $275.38.
(e) The 95% confidence interval for the population mean is $249.94 to $280.06.
a) The correct answer to whether it is necessary to know anything about the shape of the distribution of the account balances in order to make an interval estimate of the mean of all the account balances is: No, the sample is large and the standard deviation of the population is known, so we do not need to know anything about the shape of the distribution. With a large sample size, the Central Limit Theorem allows us to assume that the sampling distribution of the mean will be approximately normal. Hence, the correct answer is option C.
(b) The formula for standard error of the mean is:
SE = σ/√n
where σ is the population standard deviation, n is the sample size, and √ is the square root. Substituting the given values, we get:
SE = 77/√121
SE = 7
(c) The point estimate of the population mean is simply the sample mean, which is given as $265.
(d) To construct an 80% confidence interval, we need to use the formula:
CI = x ± zα/2 * (σ/√n)
where x is the sample mean, zα/2 is the z-score corresponding to the desired level of confidence (in this case, 80% or 0.80), σ is the population standard deviation, and n is the sample size. From the z-table, we find that the z-score for an 80% confidence interval is 1.28. Substituting the given values, we get:
CI = $265 ± 1.28 * (77/√121)
CI = $265 ± $10.38
CI = $254.62 to $275.38
(e) To construct a 95% confidence interval, we follow the same formula but use a z-score of 1.96 (from the z-table) for the desired level of confidence. Substituting the given values, we get:
CI = $265 ± 1.96 * (77/√121)
CI = $265 ± $15.06
CI = $249.94 to $280.06
Learn more about Standard error:
https://brainly.com/question/29037921
#SPJ11
P1: B v A
P2: C⊃B
P3: B⊃A P4: ~A
C: ~(~BvC)
Valid or Invalid
The argument presented in the statement is a valid argument
How to determine the validity of the argument?In logic and semantics, the term statement is variously understood to mean either:
A meaningful declarative sentence that is true or false, Or a proposition.The given arguments are
P1: B v A
P2: C⊃B
P3: B⊃A
P4: ~AC: ~(~BvC)
From P1: B v A, B is set in opposition to A. But in P3: B⊃A it is stated that if B is true, then A must also be true. But in P2: C⊃B, it is said that if C is true, then B must also be true.
These implies that ~(~BvC), For the negation of either ~B or C. SinceP2: C⊃B implies that C must be true for B to be true, then the possibility of C being false and focus on B.
Substitute ~A for B in P1: B v A, and then substitute B for ~A in P3: B⊃A, which results in A being true.
This implies that if A is true, then ~B must also be true, and the conclusion ~(~BvC) is valid.
Learn more about logical statement on https://brainly.com/question/14458200
#SPJ4