Suppose X is normally distributed with a mean of 12 and a
standard deviation of 1.4. Find the z-score corresponding to x=
15.5.
Answers
Therefore, the z-score corresponding to x=15.5 is approximately 1.78571.
Given that X is normally distributed with a mean of 12 and a standard deviation of 1.4.
We need to find the z-score corresponding to x=15.5.
The formula to calculate z-score is:
z = (x - μ) / σ
where x is the raw score, μ is the mean, and σ is the standard deviation.
Substituting the given values, we get
z = (15.5 - 12) / 1.4
z = 2.5 / 1.4
z = 1.78571 (rounded off to five decimal places)
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Related Questions
Chi-square distributions that are positively skewed have a research hypothesis that is?
Answers
Answer:
A one tailed test
Step-by-step explanation:
Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.
Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.
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One-Tailed Test
In probability theory and statistics, the chi-square distribution with k degrees of freedom is the distribution of the sum of squares of k independent standard normal random variables. The chi-square distribution is a continuous probability distribution. The shape of the chi-square distribution depends on its degrees of freedom k. It is used to describe the distribution of the sum of squares of random variables. The chi-square distribution is positively skewed, with decreasing skewness as the degrees of freedom increase. The chi-squre distribution approaches the normal distribution on increase of degree of freedom.Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.
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M<7=100 find measure of <11
Answers
Answer:i think its 115 degres
Step-by-step explanation:
Is the dilation an enlargement or a reduction? What is the scale factor of the dilation?
O reduction; 1/2
O enlargement; 2
Oreduction; 2
O enlargement;
1/2
Answers
Answer:
enlargement ; 2
Step-by-step explanation:
dilation is change in the size of the figure.
in the given scenario, figure's size is increasing so dilation is called enlargement and scale factor must be greater than 1.
scale factor = dimension of new shape / dimension of original shape
let's calculate the difference in terms of boxes of both figures to calculate the scale factor,
scale factor = 6/3
thus, in the given dilation we have enlargement of 2
Sarah says that 19 ÷ 9 equals 9 ÷ 4 because both are "2 R1." Show her mistake using decimal division
Answers
Answer:
2.11, 2.25
Step-by-step explanation:
19/9
= 2.11
9/4
= 2.25
Hence the mistake is that both values are different as 19/9 is 2.11 and 9/4 is 2.24
9x^6y^2*5x^2y^3 all exponents have to be left positive
Answers
Answer:
45x^8 y^5
Step-by-step explanation:
slopes of the line parallel and perpendicular to y=32x-1
Answers
Answer:
see below
Step-by-step explanation:
This is in slope intercept form
y = mx+ b where m is the slope and b is the y intercept
32 is the slope
Parallel lines have the same slope so 32 would be the slope of the parallel line
Perpendicular lines have slopes that multiply to -1
m*32 = -1
m = -1/32
The slope of the perpendicular line is -1/32
A painter used 1 1/2 gallons of paint to paint 3/4 of a room. At this same rate, how many gallons will it take to paint the whole room?
Please show your work with descriptions, this topic of math is really confusing for me.
Answers
Answer:
Convert to decimals:
1.5 and 0.75
Then, set up a proportion
1.5/0.75=x/1
proportion x/y=x/y
since the 3/4 and 1 are the same topic ( the room) we put them together.
Solve: 1.5/0.75=x
x=2
So 2 gallons
Hope this helps plz hit the crown :D
to graph an exponential, you need to plot a few points, and then connect the dots and draw the graph. where do you come up with the values to use in the graph
Answers
When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.
The T-chart employs positive real numbers since this is the most typical form of exponential function.
Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.
The exponential function can be represented by the following equation:
\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.
When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.
The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.
Therefore, the correct answer is option A.
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HELP NOW IT IS 6th GRADE MATH HELPPPPPP
Answers
Answer:
S=2t
or
T=1/2 S
in randomized, double-blind clinical trials of a new vaccine, were randomly divided into two groups. subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. after the second dose, of subjects in the experimental group (group 1) experienced as a side effect. after the second dose, of of the subjects in the control group (group 2) experienced as a side effect. does the evidence suggest that a higher proportion of subjects in group 1 experienced as a side effect than subjects in group 2 at the level of significance? question content area bottom part 1 verify the model requirements. select all that apply. a. the data come from a population that is normally distributed. b. the samples are independent. your answer is correct.c. the sample size is more than 5% of the population size for each sample. d. the samples are dependent. e. and your answer is correct.f. the sample size is less than 5% of the population size for each sample. your answer is correct. part 2 determine the null and alternative hypotheses. : equals : greater than part 3 find the test statistic for this hypothesis test.\
Answers
Quadrilateral BCDE has vertices B(-1, -1), C(6, -2), D(5, -9), and (-2, -8). Determine the most precise classification of BCDE: a parallelogram, rectangle, rhombus, or square. Use the distance formula to justify your answer.
Answers
The most precise classification of BCDE is a rhombus.
To determine the most precise classification of BCDE, we need to determine its properties, such as parallel sides, congruent sides, and right angles.
First, let's find the lengths of sides AB and CD:
AB = √((6-(-1))² + (-2-(-1))²) = √((7²) + (1²)) = √(49 + 1) = √50
CD = √((5-(6))² + (-9-(-2))²) = √((-1²) + (7²)) = √(1 + 49) = √50
Next, let's find the lengths of sides BC and AD:
BC = √((6-(-1))² + (-2-(-9))²) = √((7²) + (7²)) = √(49 + 49) = √98
AD = √((5-(-2))² + (-9-(-1))²) = √((7²) + (8²)) = √(49 + 64) = √113
Since AB and CD are equal, we can conclude that BCDE is a parallelogram.
To determine if BCDE is a rectangle, rhombus, or square, we need to determine if it has right angles. If a parallelogram has right angles, then it is either a rectangle or a square.
To determine if BCDE has right angles, we can use the fact that the diagonals of a parallelogram bisect each other. So if the diagonals of a parallelogram are equal in length, then it is a rhombus. And if the diagonals of a parallelogram are equal in length and the parallelogram has right angles, then it is a square.
Let's find the lengths of the diagonals BD and AC:
BD = √((5-(-1))² + (-9-(-1))²) = √((6²) + (8²)) = √(36 + 64) = √100
AC = √((6-(-2))² + (-2-(-8))²) = √((8²) + (6²)) = √(64 + 36) = √100
Since the diagonals BD and AC are equal in length, BCDE is a rhombus.
So, the most precise classification of BCDE is a rhombus.
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Solve system if equations
x + y = 11
-6x + 2y = 6
solution to both
(___,___)
Answers
Answer:
(2, 9)
x = 2
y = 9
Step-by-step explanation:
To solve this system, we can either use substitution or graph it. I will be showing how to graph it.
To solve by graphing, we graph both of the equations and find the point at which the lines intersect.
[Graph]
-> See attached
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Find the first four nonzero terms in a power series expansion about x0 for a general solution to the given differential equation. 0
Answers
Answer:
Start with equation,
y''(x) = f(x) = 6y/(10x-x²) about point x₀ = 5
Then,
y(x) = a₀ + a₁(x-5) + a₂(x-5)²+ a₃(x-5)³ + a₄(x-5)⁴...….
by inspection,
y(5) = a₀ and y'(5) = a₁
then,
y''(5) = 6a₀/(50-25) = 6a₀/25
y'''(x) = 6y'/(10x-x2) - 6y(10-2x)/(10x-x2)2
then,
y'''(5) = 6a₁/25 - 0 = 6a₁/25
y''''(x) = 6y''/(10x-x2) -12y'(10-2x)/(10x-x2)² + 12y/(10x-x2)² + 12y(10-2x)2/(10x-x2)³
then,
y''''(5) = (6/25)(6a₀/25) + 0 + 12a₀/625 + 0
= 48a₀/625
So,
y(x) = f(x) = f(5) + f'(5)(x-5) + f''(5)(x-5)2/2! + f'''(5)(x-5)3/3! + f''''(5)(x-5)4/4! …
or
y(x) = f(x) = a₀ + a₁(x-5) + (6ao/25)(x-5)2/2! + (6a1/25)(x-5)3/3! + (48a₀/625)(x-5)4/4!...
or
y(x) = f(x) = a₀ + a₁(x-5) + (3a₀/25)(x-5)²+ (a₁/25)(x-5)³+ (2a₀/625)(x-5)⁴.....
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Stacy studies math for Ž of an hour per day and science for Ž of an hour per day.How many total hours does she study in 5 days?5A.of an hourB.5of an hour30C.106hoursD.25 hoursE.356hours
Answers
Given data:
The number of hour Stacy studied maths is 2/6 hour.
The number of hour Stacy studied science is 3/6 hour.
The total number of hours Stacy studied in 5 days is,
\(\begin{gathered} 5(\frac{2}{6}+\frac{3}{6})=5\times\frac{5}{6} \\ =\frac{25}{6} \end{gathered}\)Thus, the total number of hours Stacy studied in 5 days is 25/6 hours, so option (D) is correct.
Please help me
A 72
B 143
C 333
D 36
Answers
Answer:
72 (it's the first option)
Step-by-step explanation:
Upper quartile-lower quartile= interquartile range
369-297=72
Answer: 72
Step-by-step explanation:
What's the answer to this? brainliest if correct!
Answers
Answer:
Slope of dotted lines: 3/1 or 3
Slope of reflected line: 1/3
Step-by-step explanation:
Rise and run
solve x2=81/16
express your answer as a fraction.
Answers
Answer:
\(x = 2 \frac{1}{4} \)
Step-by-step explanation:
\( {x}^{2} = \frac{81}{16} \)
\(x > 0\)
\(x = \sqrt{ \frac{81}{16} } \)
\(x = \frac{ \sqrt{81} }{ \sqrt{16} } = \frac{9}{4} = 2 \frac{1}{4} \)
Answer:
x^2 = 81/16
x = +√(81/16) = +9/4
Suppose the supply and demand equations for a product are given by: p²+4q = 253 183 p² + 6q0 - Find the equilibrium point, and enter it as a point. Equilibrium Quantity: q = Equilibrium Price: p =
Answers
The equilibrium point for the supply and demand equations p² + 4q = 253 and 183p² + 6q = 0 is (q, p) = (3, 10).
To find the equilibrium point, we need to solve the system of equations formed by the supply and demand equations. By substituting the value of q = 3 into the first equation, we get p² + 4(3) = 253, which simplifies to p² + 12 = 253.
Solving this equation gives us p = 10. Substituting the values of q = 3 and p = 10 into the second equation, we get 183(10)² + 6(3) = 0, which simplifies to 18300 + 18 = 0.
Since this equation holds true, we have found the equilibrium point to be (q, p) = (3, 10), where the equilibrium quantity is q = 3 and the equilibrium price is p = 10.
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In AMNO, m = 41 cm, o = 98 cm and Angle O=22º. Find all possible values of Angle M, to the nearest degree.
Answers
Answer:
Answer:
85t
Step-by-step explanation:
1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
hope this helps
Answer:
9
Step-by-step explanation:
sin(M)/41 = sin(22)/98
sin(M)=41sin(22)/98 = 0.1567232
sin^-1(0.1567232) = 9.02 = 9
mr.ortega sandwich shop sells and 6 inch sandwich for 3.30 and a 12 inch sandwich for 7.20 he wants to find out which sandwich is the better deal
Answers
Answer:
the 6 inch is a better deal because it is 55 cents per inch while the 12 inch is 60 cents per inch
I need help with finding 12x+3y=-3 on a graph.
Answers
Let's graph the equation
\(12x+3y=-3\)Notice that this equation corresponds to a line.
1. First, let's clear y, so we can get the equation of the line in the slope-intercept form:
\(\begin{gathered} 12x+3y=-3 \\ \rightarrow3y=-12x-3 \\ \rightarrow y=-4x-1 \end{gathered}\)This way, he equation of the line in the slope-intercept form is
\(y=-4x-1\)2. Now, we have to expose two points contained in the line. To do so, we give x any value we want and we calculate the corresponding y value.
Let's do this with x = 0 and x = 1
\(\begin{gathered} y=-4x-1 \\ \\ x=0\Rightarrow y=-4(0)-1\rightarrow y=-1 \\ \text{This way, the point} \\ (0,-1) \\ \text{Belongs to the line} \\ \\ x=1\Rightarrow y=-4(1)-1\rightarrow y=-5 \\ \text{This way, the point } \\ (1,-5) \\ \text{belongs to the line} \end{gathered}\)3. Put those points in the cartesian plane:
4. Draw a straight line that passes through both points. This will be the graph of the line
write a linear function f with the values F (-1) = 5 and F (3) = 4
Answers
When they say f(-1) = -5 they mean the point (-1, 5) is on the line.
When they say f(3) = 4 they mean the point (3, 4) is on the line.
Find the slope: m = (y2-y1)/(x2-x1) = (4-5)/(3-(-1)) = -1/4
then we replace m, and one of the given points in the slope-point equation of a linear function:
(y-4)=-1/4(x-3) then:
\(y=-\frac{1}{4}x+\frac{19}{4}\)and it would be the final answer, you can check f(-1)=5 and f(3)=4 to verify that it's the correct function.
PWEASE HELP I WILL MARK CHU BRAINLIST >:3
Select answers from the drop-down menus to correctly complete the statements.
A scale factor of (2 or 0.5) was applied to the first triangle to get the resulting image.
This scale factor is (A reduction or increase).
Answers
Answer:
The scale factor is
Is a reduction
Step-by-step explanation:
we know that
The scale factor is the ratio of the corresponding side of resulting triangle by the corresponding side of the first triangle
Let
z-----> the scale factor
x------> the corresponding side of resulting triangle
y------> the corresponding side of the first triangle
so
In this problem we have
substitute
The scale factor is less than one
therefore
Is a reduction
We assume that the outcomes of successive trials in a binomial experiment are:
a. random number between 0 and 1
b. probabilistically dependent
c. identical from trial to trial
d. probabilistically independent
Answers
We assume that the outcomes of successive trials in a binomial experiment are c) identical from trial to trial.
The correct answer is:
c. identical from trial to trial
In a binomial experiment, the outcomes of successive trials are assumed to be identical from trial to trial. This means that each trial has the same probability of success or failure, and the outcome of one trial does not affect the outcome of the subsequent trials. Each trial is considered independent and does not depend on the previous or future trials.
Option a is incorrect because the outcomes in a binomial experiment are not random numbers between 0 and 1. They are discrete outcomes, usually represented as success or failure, or yes or no.
Option b is incorrect because the outcomes in a binomial experiment are assumed to be independent, not dependent. The probability of success or failure in one trial does not affect the probability in subsequent trials.
Option d is incorrect because it mistakenly states that the outcomes are probabilistically independent. The correct term is "independent," without the term "probabilistically."
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I'm unsure if I got the correct answer, mind if you help?
Answers
Answer:
Yes, you got the correct answer, it's y=-4
Find the midpoint of the segment with the endpoints:(-7,-8) and (4,7)
Answers
Answer: (-1.5, -0.5)
Step-by-step explanation:
subract -x from 11+3x and the result from 4x+12
Answers
Answer:
2x+1
Step-by-step explanation:
11+3x- (-x)= 11+4x
4x+12-4x+11= 1
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Answer:1
Step-by-step explanation:
(11+3x)-(-x)=11+4x
(12+4x)-(11+4x)=1
Louis has $300 to spend on a pair of skis. Sales tax is 8.5%
Part A
Decide if each description of a price and discount, plus sales tax, is an amount Louis could pay with the money he has to spend on skis.
Select Less than or equal to $300 or More than $300 for each description
20% off $339
Less than or equal to $300
More than $300
$15 off $310
Less than or equal to $300
More than $300
25% off $365
Less than or equal to $300
More than $300
$20 off $300
Less than or equal to $300
More than $300
Answers
Answer:They are all Less Than
Step-by-step explanation:
if 20 percent of item is 360,what is 85 percent of the item
Answers
Evaluate:
Tan(cos^-1(x/4))
Answers
The trigonometric function tan(cos⁻¹(x/4)) evaluates to √(16 - x²) / x
To evaluate a trigonometric function?
Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles
Given the trigonometric function tan(cos⁻¹(x/4)) to evaluate:
tan(cos⁻¹(x/4))
Let θ = cos⁻¹(x/4)
Thus, cos θ = (x/4) (remember: cos θ = adjacent/hypotenuse)
We can use this information to draw a right-angled triangle as shown (image attached). Considering the triangle:
4² = x² + y²
y² = 16 - x²
y = √(16 - x²)
That means, the opposite is y = √(16 - x²)
tan θ = y/x = √(16 - x²) / x (Since tan θ = opposite/adjacent)
tan(cos⁻¹(x/4)) = √(16 - x²) / x
Therefore, tan(cos⁻¹(x/4)) evaluates to √(16 - x²) / x
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