Answer:
The probability that a data value in a normal distribution is between a
z-score of -1.32 and a z score of 1.32 is 81.3%
Option D is correct.
Step-by-step explanation:
We need to find the probability that a data value in a normal distribution is between a z-score of -1.32 and a z score of 1.32.
We can write it as P(-1.32 < Z < 1.32)
It is equal to : [tex]P(-1.32 < Z < 1.32)= P(Z<1.32)-P(Z<(-1.32))[/tex]
Looking at z-score tables to find value of z=1.32 and z=-1.32
P(Z<1.32)= 0.90658
P(Z<-1.32) = 0.09342
Putting values and finding answer
[tex]P(-1.32 < Z < 1.32)= P(Z<1.32)-P(Z<(-1.32))\\ P(-1.32 < Z < 1.32)=0.90658-0.09342\\P(-1.32 < Z < 1.32)=0.81316\\P(-1.32 < Z < 1.32)=81.3\%[/tex]
So, the probability that a data value in a normal distribution is between a
z-score of -1.32 and a z score of 1.32 is 81.3%
Option D is correct.
Each of five, standard, six-sided dice is rolled once. What is the probability that there is at least one pair but not a three-of-a-kind (that is, there are two dice showing the same value, but no three dice show the same value)
Answer:
The probability that there is at least one pair but not a three of a kind is 0.6944.
Step-by-step explanation:
We have the case when we have five dices and we roll them and we need that there is at least one pair but not a three of a king which is Two dice showing the same value, but no three dice showing the value.
Total no of outcomes = [tex]6^5 = 7776[/tex]
We will consider the other cases and then subtract them from the total outcomes.
No of outcomes of 5 of a kind = 6
No of outcomes 4 of a kind and 1 different = (6*5)*5 = 150
No of outcomes with 3 of a kind and 1 different pairs = (6*1*1*5*1)*5C2= 300
No of outcomes with 3 of a kind and two different = 6*5*4*10= 120*10=1200
No of outcomes when all are different = 6! = 720
These all the cases when subtracted from the total will represent the total cases in which there are two dice showing the same value.
Total cases = 6+150+300+1200+720
= 2376
Required no of outcomes = 7776-2376 = 5400
Probability = [tex]\frac{5400}{7776}[/tex] = 0.6944
Therefore the probability for the case of at least one pair but not a three of a kind is 0.6944.
Super Salad Dressing is made with 8mL of oil for every 3mL of vinegar.
Which of the following mixtures will taste the same as Super Salad Dressing?
Group of answer choices
3 mL of oil for every 8 mL of vinegar
16 mL of oil for every 9 mL of vinegar
40mL of oil for every 25mL of vinegar
56 mL of oil for every 21 mL of vinegar
Answer:
56mL of oil for every 21mL of vineger
Step-by-step explanation:
56 is a multiple of 8, and 21 is a multiple of 3. 7 times 3 is 21, and 8 times 7 is 56. Hope this helped!
PLEASE ANSWER ASAP FOR BRAINLEST!!!!
The length of a side of an equilateral triangle is x - 4.5. Write 2 equivalent expressions, one as a sum and one as a product.
Answer:
see explanation
Step-by-step explanation:
Writing an expression for the perimeter (P) of the triangle
P = x - 4.5 + x - 4.5 + x - 4.5 ← as a sum
P = 3(x - 4.5) ← as a product
There are 35 people who have
entered the sled race. If 60% of
them are over the age of 15, how
many participants are over 15?
can I please get help
Answer: A. -0.25
Hope it helps :)
Step-by-step explanation:
So since 0.75 and -1.25 are in parenthesis, u have to multiply them.
-1 (0.75 - 1.25) = 0.5
-3/4 - 0.5 = -0.25
So the answer is -0.25
Please help me with 9
Answer:
Fourth choice, 1/6
Step-by-step explanation:
15 + 8 + 10 + 12 + 15 = 60
Out of 60 cards, 10 of them is the go again card, so it's 10/60 which simplified is 1/6
Determine if the representation below is an example of a function or not a function.
Function
Not a Function
Please help! ASAP! Thanks! <3
Answer:
not a function
Step-by-step explanation:
trust
What is the angle of elevation of a hill whose slope has a length of 345 feet and rises 87 feet?
A 14.2°
B 13.7°
C 14.6°
D
75.8°
The solution is, 14.6° is the angle of elevation of a hill whose slope has a length of 345 feet and rises 87 feet.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
here, we have,
given that,
a hill whose slope has a length of 345 feet and rises 87 feet
now, we have to find the angle of elevation of a hill.
so, we get,
perpendicular = 87
hypotenuse = 345
let, the angle of elevation is θ.
we have,
sin θ = 87/345
so, we get,
θ = 14.6°
Hence, The solution is, 14.6° is the angle of elevation of a hill whose slope has a length of 345 feet and rises 87 feet.
To learn more about trigonometric relations click :
brainly.com/question/14450671
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What is the slope pls help
Answer: non- proportional
Step-by-step explanation:
doesn't go through (0,0)
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
To find the slope of a line, we would need to use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]. These points can be any two points that fall on the line.
In the graph, two points we can use to find the slope is (1, 2) and (-2, 0).
[tex]\frac{y_2-y_1}{x_2-x_1}\\\\\frac{0-2}{-2-1} \\= \frac{-2}{-3} \\= \frac{2}{3}[/tex]
Therefore, the slope of the line is [tex]\frac{2}{3}[/tex].
I hope this helps!
Find an ordered pair to represent in the equation vec t =4 vec t +6 vec v vec u =(-1,4) and and
Answer:
(14, 4)
Step-by-step explanation:
The question is not well structured and incomplete.
Restructured
Find an ordered pair to represent in the equation vec t = 4 vec u +6 vec v where vec u =(-1,4) and vec v = (3,-2)
Substitute the given vector into the expression for vec t.
Recall that: vec t = 4 vec u +6 vec v
vec t = 4(-1,4)+6(3,-2)
vec t = (4(-1), 4(4)) + (6(3), 6(-2))
vec t = (-4, 16) + (18, -12)
vec t = (-4+18, 16+(-12))
vec t = (14, 16-12)
vec t = (14, 4)
Hence an ordered pair to represent vec t in the equation is (14, 4)
Note that the vec v was assumed. Any other vector coordinate can also be used
Simplify: 5a² - 2b² - c² - 3a² + 3b² + 2c²
Which ordered pair is the solution to the system of equations ?
Answer:
c
Step-by-step explanation:
Given the2 equations
y = x + 4 → (1)
x + y = 2 → (2)
Substitute y = x + 4 into (2)
x+ x + 4 = 2
2x + 4 = 2 ( subtract 4 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
Substitute x = - 1 into (1) for corresponding value of y
y = - 1 + 4 = 3
solution is (- 1, 3 ) → c
In a survey of 1,900 people who owned a certain type of car, 570 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car? nothing% of the people surveyed were satisfied with the car. (Type a whole number.)
Answer:
The percentage of people who are satisfied with this car model is 30%.
Step-by-step explanation:
Given that the survey interviewed 1,900 people who own a certain type of car, and of them 570 said that they would buy the same car model again, to determine the percentage of people who are satisfied with that model it is necessary to perform the following calculation :
1,900 = 100
570 = X
((570 x 100) / 1,900) = X
57,000 / 1,900 = X
30 = X
Therefore, the percentage of people who are satisfied with this car model is 30%.
Which of the following does not approve two angles to be congruent. Vertical angles Theorem, Corresponding Angles Postulate, alternate interior Angles theorem, Same-Side Interior Angles Theorem? (Can anyone please help me.?)
Answer:
Same side interior angles theorem
Step-by-step explanation:
Same-Side Interior Angles Theorem: Sum of the same side of interior angles of parallel lines are supplementary
Answer:
I think it is A
Step-by-step explanation:
Hope this helped have an amazing day!
The regular price for Super Fly Sneakers at Shoes R' Us is $100. The shoes are on sale for 35% off the regular price. Jazmine uses a coupon for an additional 25% off the sale price. How much will Jazmine pay for her Super Fly Sneakers after both discounts
Answer:
$48.75
that is the answer
Answer:
Jazmine will pay only $40 for both discounts.
Step-by-step explanation:
First we need to add the two discounts, 35% + 25% = 60%.
Now we need to convert 60% into a decimal, which is 0.60.
Now we need to multiply the regular price, $100, by 0.60.
$0.60 × $100 = $60.
Now we subtract the discount by the amount, $100 - $60 = $40.
A gas occupies 210 mL at -73°C. To have the same gas occupy 360 mL, should the temperature be increased or decreased?
Answer:
Decrease
Step-by-step explanation:
What is the answer to 6and 7
Answer:
It might just be me but the pic is super blurry could you possibly get a better one?
Step-by-step explanation:
please help!! i’ll give a brainliest!!
Best Buy was selling video games for $60, they are on sale for 25% off,
what is the selling price of the video games? *
Answer:
$45
Step-by-step explanation:
Answer:
$45
Step-by-step explanation:
If they are 25% off, they are now wroth 75% of original price
0.75 * $60 = $45
please give thanks by hitting heart button :)
express the first quantity as a percentage of the second
a. 80cents of $9.60
Answer this question. please. I really need help
Answer:
8.33%
Step-by-step explanation:
We are told to:
Express the first quantity as a percentage of the second
a. 80cents of $9.60
The first quantity is 80 cents, the second quantity is $9.60
Step 1
We convert 80 cents to a dollar
100 cents = $1
80 cents = $x
$x = 80/100 = $0.8
Step 2
We express $0.8 as a percentage of $9.60
Hence, we have:
$0.8/$9.60 × 100
= 8.33%
Explain what would happen to a figure if you transformed it using the rule(x-2,y+4). Then state whether the image would be similar, congruent, both, or neither.
Answer:
The figure would move 2 units to the left and 4 units up and the image would be congruent.
Step-by-step explanation:
If you transformed a figure using the rule (x-2, y+4).
Then the figure would move 2 units to the left (x-2) and 4 units up (x+4).
Similar figures would have the same shapes but different sizes.
Congruent figures would have the same shapes and same sizes but might be rotated.
Figures can not be both similar and congruent.
Moving the whole shape will not change the size; therefore, the figures would be congruent.
PLEASE I NEED HELP!!!
The Waterfords rented a truck for a $52.95 fee plus $.35/mi. They spent $33.75 to fill the tank with gasoline before returning the truck. If the Waterfords spent $140.95, including gasoline, to rent the truck, how many miles was the truck driven?
Answer:
155 miles
Step-by-step explanation:
52.95 + 33.75 = 86.7
140.95 - 86.7 = 54.25
54.25 / .35 = 155
155 miles
Using the problem above, if the tax was 7.25%, what would the final sale price be for each pair of jeans? Round to the nearest cent.
Hurryyyyy I’m giving brainliest
Solve for x.
6x = 78
Pat paid $85.50 for renting a scooter for 6 hours. What was the rate per hour for renting the scooter? (Input only numeric values and decimal point, and report prices to two decimal places, such as 12.30.
Divide $85.50 by 6
$85.50/6 = $14.25
Therefore, the rate per hour for renting the scooter is $14.25
15.3+1h=1.3−1h15, point, 3, plus, 1, h, equals, 1, point, 3, minus, 1, h h =h=h, equals
Answer: h= 6
Step-by-step explanation:
For values of x when x + 0, which number property is shown below?
17x () = 172
O associative
0 commutative
O multiplicative identity
division property of zero
Which of the following is a monomial?
A.−5x
B.5x+1
C.x2+x
D.x+5+x−7
Answer:
A.
Step-by-step explanation:
A monomial is an expression in algebra that contains one term, like 3xy. Monomials include: numbers, whole numbers and variables that are multiplied together, and variables that are multiplied together. A polynomial is a sum of monomials where each monomial is called a term.
The scale of a map is 2/5 inches represents 3 miles. How many miles does 1 inch represent?
What is the exact value of cos(–60º)?
How do I delete stuff-
try (1/2)
Answer:
-1/2........yw
Step-by-step explanation: