The score interval that is within one standard deviation of the mean is
(70 , 80).
What is standard deviation?
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean of the collection.
Some of the properties of the standard deviation are:
1. It cannot be negative
2. It is only employed to calculate the spread or dispersion around a data set's mean
3. It displays the degree of deviation from the mean value
4. The larger the spread, the more standard deviation, with data of about the same mean.
Given,
The mean of the test μ = 75
The standard deviation σ = 5
We are asked to find the scores within one standard deviation of the mean.
This means that the scores should be in the interval ( μ - σ , μ + σ )
μ - σ = 75 - 5 =70
μ + σ = 75 + 5 = 80
Therefore the scores should be in the interval = ( 70,80), which is within one standard deviation of the mean.
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I need your help! I'm struggling and need help solving. If you can include an explanation that would be great!
Answer:
Answer choice A
Step-by-step explanation:
It's nice to know which way the equation is going, so graphing it helps (if you can, use Desmos!)
Since the equation is facing up (BOTH SIDES UP) as x approaches infinity & negative infinity, f(x) is always going to be increasing so it is always going towards infinity.
Write answer in scientific notation
Answer:
5 x 10^7
Step-by-step explanation:
(5 x 10^4)·(1 x 10³) = 5 x 10^7 = 50 million
The area of the base of the cone is 9π^2 in and a height of 6 in. What is the volume of the cone, in terms of π? Need answer ASAP!
Answer: 18pi^2
Step-by-step explanation:
Volume of cone formula = 1/3 x base area x height
so 1/3 x 9pi^2 x 6
= 18pi^2
HELPPPPPPPPPPPPPPPPP
Answer:
1/2 + 1/3 = 3/6 + 2/6 = 5/6
5/6 roughly equals to 0.8
The answer is C
Which of the following best estmates the sum: 1/2 + 1/3
Answer: C) 0.8
The casino game of chuck-a-luck seems quite simple and that it would be a pretty good bet. In this game, three dice are rolled (usually inside a wire cage). You can bet a set amount, let's say $5, on a specific number 1-6. You win the amount of your bet for each appearance of your number on the dice. If the number does not appear, you lose your bet. For example, let's say you bet $5 on the number 3. If it appears on exactly one die, you win $5 (and keep your bet) with probability 75/216. If it appears on exactly two dice, you win $10 (and keep your bet) with probability 15/216. If it appears on all three dice, you win $15 (and keep your bet) with probability 1/216. If it appears on none of the dice, you lose your original $5 bet. Construct the probability distribution for chuck-a-luck and determine your expected winnings on a $5 bet.
The expected winnings on a $5 bet are -0.1157 dollars. This means that on average, you will lose about 11.57 cents for each $5 bet you make.
Therefore, the game is not a good bet, as you are expected to lose money in the long run.
What is the probability distribution?
A probability distribution is a mathematical function that describes the probability of different possible values of a variable.
The probability of winning on a $5 bet on a specific number in chuck-a-luck is determined by the number of ways that the number can appear on the three dice and the total number of possible outcomes.
If the number appears on exactly one die, there are 3 ways that this can happen out of a total of 6^3 = 216 possible outcomes, giving a probability of 3/216 or 1/72.
If the number appears on exactly two dice, there are 3 ways to choose the two dice on which it appears, and 3 ways to choose the third die, giving a total of 33 = 9 ways out of 216 possible outcomes, giving a probability of 9/216 or 1/24.
If the number appears on all three dice, there is only 1 way this can happen out of 216 possible outcomes, giving a probability of 1/216.
If it appears on none of the dice, there are (543) ways this can happen, giving a probability of (54*3)/216 = 20/216.
We can use this information to construct the probability distribution for chuck-a-luck:
x P(x)
-5 (losing the bet) 20/216
5 (winning the bet for one appearance) 1/72
10 (winning the bet for two appearances) 1/24
15 (winning the bet for three appearances) 1/216
To find the expected winnings on a $5 bet, we can multiply the value of each outcome by its corresponding probability, and sum the results:
E(X) = (-5)(20/216) + (5)(1/72) + (10)(1/24) + (15)(1/216)
E(X) = -5/43.2 + 5/72 + 5/12 + 15/216
E(X) = -0.1157
Hence, the expected winnings on a $5 bet are -0.1157 dollars. This means that on average, you will lose about 11.57 cents for each $5 bet you make.
Therefore, the game is not a good bet, as you are expected to lose money in the long run.
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A rhombus has sides 11cm long the shorter diagonal of the rhombus is 8cm long find the size of the smaller angles of the rhombus correct to the nearest degree
Answer:
42.64°
Step-by-step explanation:
Note: A rhombus has all its sides equal, its opposite angle are equal, its has bigger and smaller diagonal, diagonal bisect the angles and diagonal bisect each other.
From the diagram attached,
sinθ = opposite/adjacent
sinθ = 4/11
θ = sin⁻¹(4/11)
θ = 21.32
Therefore, from the diagram,
The smaller angle of the rhombus = 2θ
The smaller angle of the rhombus = (2×21.32)
The smaller angle of the rhombus = 42.64°
When 10 is substacted from the square of a number the result is 3 times the number find the positive solution
Answer: So the positive solution is:
ANSWER: X = 5
(x = 5 ), (x = - 2 )
Step-by-step explanation:
when 10 is subtracted from the square of a number the result is 3 times the number.
Find the positive solution.
Let: x = number
Let x^2 = square of a number.
x^2 - 10x = 3x transpose
x^2 - 3x - 10 = 0
Apply Factoring: Fractions of 10 are 5 and 2
( - 5)(2) = - 10
- 5 + 2 = - 3
( x - 5 )(x + 2) = 0
x - 5 = 0 x + 2 = 0
x = 5 x = - 2
So the positive solution is:
ANSWER: X = 5
I hope that helps!!!!
if 0°<0<90° and sin0=12/13, find cos0 using trigonometric identities.
• 12/5
• 5/12
• 12/13
• 5/13
here's the solution,
we know :
[tex] \sin( \theta) = \dfrac{perpendicular}{hypotenuse} [/tex]
So,
[tex] \dfrac{p}{h} = \dfrac{12}{13} [/tex]
so.. let the perpendicular be 12x and hypotenuse be 13x
now,
by applying pythagoras theorem,
[tex]b {}^{2} = h {}^{2} - p {}^{2} [/tex]where,
b = base h = hypotenuse p = perpendicularSo,
[tex]b {}^{2} = ({13x})^{2} - ({12x})^{2} [/tex][tex] b {}^{2} = 169x {}^{2} - 144x {}^{2} [/tex][tex] {b}^{2} = 25x {}^{2} [/tex][tex]b = 5x[/tex]so,
[tex] \cos( \theta) = \dfrac{b}{h} [/tex][tex] \cos( \theta) = \dfrac{5x}{13x} [/tex][tex] \cos( \theta) = \dfrac{5}{13} [/tex]hope it helps !!
Hexagon PQRSTU is shown on the coordinate grid. Hexagon PQRSTU is dilated with the origin
as the center of the dilation using the rule (x, y) → ( 3 x, 3 y) to create hexagon P'Q'R'S'T'U'.
2 2
Which statement is true?
A) Hexagon P'Q'R'S'T'U' is smaller than hexagon PQRSTU because the scale factor is a fraction.
B) Hexagon P'Q'R'S'T'U' is smaller than hexagon PQRSTU because the scale factor is greater than one.
C) Hexagon P'Q'R'S'T'U' is larger than hexagon PQRSTU because the scale factor is greater than one.
D) Hexagon P'Q'R'S'T'U' is larger than hexagon PQRSTU because the scale factor is less than one.
PLEASE HELP!! i’ll mark you brainliest please !
Aliyah had $28 to spend on six pencils.After buying them she had $10. How much did each pencil cost?
Answer:
$3
Step-by-step explanation:
28-10=18
18/6=3
Solve for the value of x.
Answer:
x = 3
Step-by-step explanation:
x + x + x could also be written as 3x, and count the number of "1's" given on both sides:
3x + 4 = 13
=> subtract 4 on both sides of "="
3x = 9
=> Divide by 3 on both sides of "="
x = 3
Hope this helps!
Answer:
x=3
Step-by-step explanation:
I believe the answer would be x is equal to 3.
If you first create the equation you get 3x*4= 13
There are 3 green 'x' so that is 3x. The four orange boxes can be represented as 4, and the 13 orange boxes can be represented as 13.
Then, you solve the equation.
3x * 4 =13
Subtract 4 from both sides.
3x= 9
And simplify.
x=3.
I hope this helps! (:
Solve the equation for all values of x by completing the square,
x^2 + 2x = 35
Answer:
x = 5
Because, if you substitute 5 for x you will get 35.
5^2 + 2*5= 25+10, or 35
Step-by-step explanation:
Please help I don’t understand this
9514 1404 393
Answer:
WV = 6
Step-by-step explanation:
The hash marks indicate the corresponding lines are the same length. That is, W is the midpoint of YZ, because YW ≅ WZ. Similarly, V is the midpoint of XY, because XV ≅ VY.
Using this information, it can be shown that ∆YWV ~ ∆YZX. This means corresponding sides have the same ratio.
Because YW is half of YZ, WV is half of ZX.
YW/YZ = 1/2 = WV/ZX = WV/12
Multiplying by 12 gives the value of WV:
WV = 12(1/2)
WV = 6
_____
This is a long way to say that the midsegment (WV) is half the length of the base (ZX) of a triangle.
A circle has a circumference of 487
centimeters. Maricela recorded that the
circumference was 150.8 centimeters. Is
150.8 less than a greater than 48-?
Explain your answer:
Answer:
[tex]150.8 < 487[/tex]
Step-by-step explanation:
Given
[tex]C = 487cm[/tex] -- Actual measurement
[tex]M = 150.8[/tex] -- Recorded measurement
Required
Is M < C or M > C?
By comparing both values, we can see that:
[tex]M < C[/tex]
Because, on a number line from right to left; 150.8 comes before 487.
Hence:
[tex]150.8 < 487[/tex]
A granola recipe calls for 3 cups of oats, 1 cup of almends. 1 cup of pecans, and 1 cup of dried fruit. What is the ratio of fruit to eats? Yolanda says that for every 2 cups of nuts, there are 2 cups of fruit. Explain why her answer is incorrect and give the correct ratio of nuts to fruit. Explain your answer.
The ratio of nuts to fruits is 5 : 1 and for every 5 cups of nuts, there is 1 cup of dried fruit cup.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a granola recipe calls for 3 cups of oats, 1 cup of almonds. 1 cup of pecans, and 1 cup of dried fruit
The ratio of nuts to fruits is -
r = (3 oat cups + 1 almond cup + 1 pecan cup)/(1 dried fruit cup)
r = 5/1
5 : 1
For every 5 cups of nuts, there is 1 cup of dried fruit cup.
Therefore, the ratio of nuts to fruits is 5 : 1 and for every 5 cups of nuts, there is 1 cup of dried fruit cup.
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Is the relationship a function?
{(1,4), (4,1), (1,5),(5,1)]
Answer:
no
Step-by-step explanation:
hdjdjdnbdbdjddhhdhfhr r rjfnfn
Answer:
It is a function
Step-by-step explanation:
A linear function
[tex]x = y - 3[/tex]
and
[tex]x = y - 4[/tex]
Can someone please answer this! I am very confused.
I need help, please
and can someone explain so I can stop posting so many of these?
it's infinitely many bc the equations have the same line
Answer:
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
Here a1, b1, c1, a2, b2, c2 are all real numbers.
Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0
Step-by-step explanation:
How many solutions does the following system have?
y = -2x – 4
y = 3x + 3
Solution:
Given y = -2x – 4
y = 3x + 3
Rewriting to the general form
-2x – y – 4 = 0
3x – y + 3 = 0
Comparing the coefficients,
(a1/a2) = -⅔
(b1/b2) = -1/-1 = 1
(a1/a2) ≠ (b1/b2)
Hence, this system of equations will have only one
what is 5 2/3 x 3/4 equal?
Answer: 4 1/4
Step-by-step explanation: Decimal= 4.25
Answer:
Exact form: 17/4
Decimal Form: 4.25
Mixed number form: 4 1/4
Nathan cut an isosceles triangle from felt to
make a spirit banner. Two sides of his banne
had the following measures: 15 inches and
7 inches. Which could be the measure of the
third side of Nathan's banner?
A 20 inches
B 15 inches
C 10 inches
7 inches
Answer:
B) 15
Step-by-step explanation:
only options are 15 or 7 inches because the problem mentioned the triangle is isosceles (they have two equal sides)
we can eliminate 7 because of the triangle inequality theorem
if two sides of a triangle are 7 then their sum is only 14 and it would need to be greater than the third side of 15
Describe the likehood of the event given its probability . you make a free throw 70 percent of the time
Answer:
Yes. 70% is a good percentile, most people understand the workings of a free throw (where you stand on the line, how to place your feet, how to shoot) and standing still gives you an advantage. For the people who don’t understand the workings, they are apart of that 30%.
Can y’all help me and tell me the answer?
Please find and explain the answer to this problem(algebra 2)
Answer:
you need to add the problem. or at least a photo of it.
Answer:
u need to write or add a pic of the question
Step-by-step explanation:
Triangle ABC is similar to triangle DFE. What scale factor is required to dilate triangle DFE so that its image, D′F′E′, is congruent to triangle ABC?
Answer:
1/4
Step-by-step explanation:
a) What is the size of angle ABC? b) Use your answer to part a) to work out the size of reflex angle CBD. Give your answers to the nearest degree.
Answer:
a) 110
b) 250
Step-by-step explanation:
Read the top row of numbers for a. We are starting at zero and going to 110
Reflex is when two angles add up to 360
360 - 110 = 250
A school administrator wants to know what proportion of teachers in their state have a Master's degree. The administrator takes an SRS of 100100100 teachers from a statewide database containing every teacher, and they find 555555 teachers in the sample have a Master's degree. The administrator wants to use this data to construct a one-sample zzz interval for a proportion.Which conditions for constructing this confidence interval did their sample meet
When we construct the confidence interval their sample must have some conditions which are as follows,
The data should be a random sample from the population of interest.np^ ≥ 10 n(1 - p^) ≥ 10Individual observations can be taken as independent.Therefore , these are the conditions which the administrator should use to construct a one-sample z interval for a proportion.
When two ratios are equivalent to each other , they are said to be in a state called proportion. The proportion formula is used to see whether the given ratios or fractions are equal or not . The proportion formula can be given as, The product of means is equal to the the product of extremes. This can be written as ad = bc.
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Solve the system.
6x - y = -15
x+2y = 17
Enter your answer as a coordinate pair in the blank.
The coordinate pair of the given system is (-1,9)
What are coordinate pairs?An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.
Define Equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Multiply the first equation by 2 and add the equation 2(6x - y) = 2(-15)
Add the new equation 12x - 2y = -30 to the second equation
12x - 2y = -30, x+2y = 17, add the two equations to eliminate y
13x = -13
x = -1
Substitute -1 back into the equation x+2y = 17.
-1 + 2y = 17
2y = 18
y = 9
So the solution of the system is x = -1, y = 9
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i need help with number seven with a full explanation please
The value of x would be 32.
What are a congruent quadrilaterals?
In geometry, two figures are congruent if they have the same size and shape. Congruent figures can be moved or oriented in different ways, but they will always match up exactly. In the case of quadrilaterals, they are congruent when they have the same side lengths and corresponding angles.
In the given figure PQRS ~ WXYZ
x = YZ
x = 32.
Hence, the value of x would be 32.
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By analyzing the figure, The value of x would be 32.
What are a congruent quadrilaterals?In geometry, two figures are congruent if they have the same size and shape. Congruent figures can be moved or oriented in different ways, but they will always match up exactly. In the case of quadrilaterals, they are congruent when they have the same side lengths and corresponding angles.
In the given figure PQRS ~ WXYZ
x = YZ
x = 32.
Hence, the value of x would be 32.
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anyone know the answer? its algrebra
Does the equation represent an exponential function?
y = 4 • 5x
Yes
No
Answer:
yes is rhe anwers that was that i put