Steven rolled a 1-6 number cube four times. What is the proballity that Steven rolled an odd number on all four rolls of
the die? (leave your answer as a reduced fraction)
Answers
Answer: 0.0625
Step-by-step explanation:
From the question, Steven rolled a 1-6 number cube four times. This means the 1-6 number cube has numbers 1, 2, 3, 4, 5 and 6. There are 3 odd numbers which are 1, 3 and 5. If the 1-6 number cube is rolled once, the probability will be:
3/6 = 1/2
Since Steven rolled the 1-6 number cube four times, the probability of getting an odd number on all four rolls of the die will be:
= 1/2 × 1/2 × 1/2 × 1/2
= 1/16
= 0.0625
Related Questions
reena has pens and pencils which together are 40 in number. if she has 5 more pencils and 5 less pens, then number of pencils would become 4 times the number of pens. find the original number of pens and pencils.
Answers
Reena originally had 15 pens and 25 pencils.
Let's assume the number of pens Reena originally had is represented by "p" and the number of pencils by "q". According to the problem, we have two pieces of information.
First, we know that the total number of pens and pencils is 40, so we have the equation p + q = 40.
Second, if Reena has 5 more pencils and 5 less pens, then the number of pencils becomes 4 times the number of pens. This can be expressed as (p - 5) + (q + 5) = 4p.
To solve this system of equations, we can simplify the second equation to get p - 4p = -5 - 5 + q, which becomes -3p = q - 10.
Substituting this expression into the first equation, we have -3p + q - 10 = 40. Rearranging this equation gives q - 3p = 50.
Now we have a system of two linear equations: q - 3p = 50 and p + q = 40. Solving this system will give us the values of p (number of pens) and q (number of pencils).
To solve this system, we can use substitution, elimination, or other methods of solving simultaneous equations. Solving the system, we find that the original number of pens (p) is 15 and the number of pencils (q) is 25.
Learn more about equations here : brainly.com/question/29657983
#SPJ11
Please someone help me i do not know the answer
Answers
Answer:
For #9, the part of the expression that represents the quotient is the division problem in parenthesis. Specifically, "(45 ÷ 9)". I believe you only need the division symbol for this, though. Correct me if I'm wrong.
As for #10, the part of the expression representing the product of two factors is 5.2 being multiplied by the variable \(u\). This results in the the term \(5.2u\), with the coefficient being 5.2 and the variable being \(u\).
Which of the following sets of ordered pairs represents a function? A. { (-10, -4), (17, 11), (4, 10), (4, -14) } B. { (7, 8), (-21, -8), (7, -8), (-21, 8) } C. { (14, 8), (-14, -8), (8, 14), (-8, -14) } D. { (14, 8), (14, -8), (8, 14), (8, -14) }
Answers
Answer:
C
Step-by-step explanation:
because for any domain ,you will get only one range value ,
but ,there are two range values for 4 in A;
two range values for 7, and also for 21 in B;
two range values for 14 and for 8 in D
Find an equation of the line tangent to the curve y=1/2(ln(sin^2(x))) at the point (pi/4 , -1/2ln2)
Answers
Given:
Equation of Curve is:
\(y=\frac{1}{2}\ln (\sin ^2x)\)To find: Equation of tangent to the curve at point
\((\frac{\pi}{4},\frac{-1\ln 2}{2})\)Equation of tangent to the curve is given by:
\(y-y_1=m(x-x_1)\)where, m is slope of line.
Now, m is derivative of y with respect to x at given point.
Hence,
\(\begin{gathered} m=\frac{1}{2}\text{ }\times\frac{2\sin x\cos x}{\sin^2x} \\ m=\frac{\cos \text{ x}}{\sin \text{ x}} \\ m=\cot \text{ x} \end{gathered}\)At given point, the slope m is:
\(\begin{gathered} m=\cot (\frac{\pi}{4}) \\ m=1 \end{gathered}\)Therefore,the equation of tangent to the curve is given as:
\(\begin{gathered} y-y_1=1(x-x_1) \\ y-(\frac{-1(\ln \text{ 2))}}{2})=x-\frac{\pi}{4} \\ \frac{2y+\ln \text{ 2}}{2}=\frac{4x-\pi}{4} \\ 2y+\ln 2=\frac{4x-\pi}{2} \end{gathered}\)\(\begin{gathered} 4y+2\ln 2=4x-\pi \\ 4y=4x-\pi-2\ln 2 \end{gathered}\)Thus the required equation of tangent to the curve is
\(4y=4x-\pi-2\ln 2\)(b) find a 99.9% confidence interval for the population mean of total calcium in this patient's blood. (in mg/dl; round your answer to two decimal places.)
Answers
The population mean of total calcium in this patient's blood has a 99.9% confidence interval has
lower limit =9.03 mg/dl
upper limit =11.07mg/dl
The value of z at the 99.99% confidence level is 3.29.
⇒Z=3.29
⇒Sm=\(\sqrt{\frac{0.9772}{10} }\)
⇒Sm=0.31
⇒M=10.05
⇒μ=M±Z(Sm)
⇒μ=10.05±(3.29)(0.31)
⇒μ=10.05±1.0199
⇒Lower limt=10.05-1.0199
⇒Upper limit=10.05+1.0199
⇒Lower limt=9.03
⇒Upper limit=11.07
99.9% confidence interval has lower limit =9.03 mg/dl and upper limit =11.07mg/dl
Learn more about confidence interval here:
https://brainly.com/question/24131141
#SPJ4
researchers are studying two populations of sea turtles. in population d, 30 percent of the turtles have a shell length greater than 2 feet
Answers
Answer:
I did this question the other day, I think it is right, but I'm not 100% sure. Let me know if it is helpful
Step-by-step explanation:
HELP MEEEEEEEE I WILL GIVE BRAINLIST 2 AND EXTRA POINTS
why do 3 wholes 1/2- 4 wholes 7/8 = 3/8
PLEASE HELPPPPPPPPPP
Answers
3 1/2 subtracted from 4 7/8 is equal to 3/8.
What is the value of the subtraction?A fraction is a quantity that is not a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below. An example of a fraction is 1/2.
A mixed number is a number that has a whole number and a proper fraction. A proper fraction is a fraction is which the numerator is less than the denominator. An example of a mixed number is 3 1/2.
Subtraction is the mathematical operation that is used to determine the difference of two or more numbers. The sign used to represent subtraction is -.
\(3\frac{1}{2} - 4\frac{7}{8}\)
\(-1\frac{4 - 7}{8}\)
\(-1\frac{-3}{8}\) = 3/8.
To learn more about subtraction of fractions, please check: https://brainly.com/question/915789
#SPJ1
The function c represents the cost in dollars of renting a car and driving d
miles.
c(d) =0.24d + 34
What is the cost of renting the car and driving 206 miles?
Round answer to nearest cent (2 decimal places).
83.44
Answers
Answer:
$83.44=======================
GivenFunction c(d):
c(d) = 0.24d + 34Find the value of c(d) when d = 206:
c(206) = 0.24*206 + 34 = 49.44 + 34 = 83.44Answer:
Cost = $83.44
Step-by-step explanation:
The given equation is,
→ c(d) = 0.24d + 34
Now the required cost will be,
→ c(d) = 0.24d + 34
→ c(206) = 0.24(206) + 34
→ c(206) = 49.44 + 34
→ c(206) = $83.44
Hence, the cost is $83.44.
9. how many small cubes aside 4 cm can be filled in a rectangular box with an internal dimension of 1.6 dm long. 1.4 dm and 1.2 dm high?
pls pasagot ayan nalang kailangan ko po pls
appreciate it ko kung kahit wala nang solution basta pls sagot lang po
Answers
\( \small \blue{\boxed{{\colorbox{white}{42}}}} \)
that's my answer
A family of 6 went to the water park. The total cost was $144 for all 6 family members. If each family member was charged the same amount, how much did each person have to pay?
Answers
Answer: $24 a person.
Which is a better deal 16 oz for 3.36 or 24oz for 4.80
Answers
Answer:
A better deal is 24 oz for $4.80
Step-by-step explanation:
3.36/16 = $0.21/oz
4.80/24 = $0.20/oz
You report a confidence interval to your boss but she says that she wants a narrower range. SELECT ALL of the ways you can reduce the width of the confidence interval. o Increase the sample size o Decrease the sample size o Increase the confidence level o Decrease the confidence level I
o ncrease the mean o Decrease the mean
Answers
We can reduce the width of the confidence interval by increasing the sample size, reducing the confidence level and decreasing the mean (A, D, and F)
What is a confidence interval?A confidence interval is an estimate of the interval that has a specified probability of including an unknown population parameter.
The purpose of a confidence interval is to estimate the true value of the population parameter being measured, such as a mean, a standard deviation, or a proportion.
In general, a wider confidence interval indicates more uncertainty about the estimate, while a narrower confidence interval suggests more precision in the estimate.
We want narrower confidence intervals to demonstrate more precision, as this allows us to draw more reliable conclusions about population parameters.
We cannot reduce the width of the confidence interval by increasing the sample size, increasing the confidence level or increasing the mean.
Thus, the correct options are a, d, and f.
Learn more about confidence interval here:
https://brainly.com/question/15712887
#SPJ11
The z score associated with the highest 10% is closest to
a. .0398
b. .5398
c. 1.28
d. -1.28
Answers
The z score associated with the highest 10% is closest to: option (c) 1.28
-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.
- Look up the 0.90 (90%) in a standard normal distribution (z score) table, which will give you the corresponding z score.
-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.
Therefore, the z score associated with the highest 10% is closest to 1.28.
To know more about "standard normal distribution" refer here:
https://brainly.com/question/29509087#
#SPJ11
the area of a square postcard is 25 square inches. How long is each side postcard?
Answers
Answer:
5 inches
Step-by-step explanation:
To find the area of a square the formula is A = bh which with a square is essentially one side squared. We know this because every side of a square is the same. We also know that 5 squared is 25 meaning the answer is 5 inches(You could also use the formula A = bh : A = 5 x 5 : A = 25).
Answer:
The side is 5 square inches.
Step-by-step explanation:
Area of square formula:
A = s x s or \(s^2\)
To figure out the sides, we use this formula:
A = 25 ÷ s = s
But to figure out s = side, think of factors of 25 like this:
25: 1,5,25
Now let's plug in the factors of 25 to figure out the missing side length.
A = 25 ÷ 1 = 25
This is not true.
A = 25 ÷ 5 = 5
This is true.
A = 25 ÷ 25 = 1
This is not true.
So our answer is 5 square inches on each side.
¿es cierto que si se suman los resultados de la tabla del con los de la tabla del 5 se obtienen los resultados del 7 ¿porque
Answers
Answer:
Efectivamente, si se suman los resultados de la tabla del 2 con los de la tabla del 5 se obtienen los resultados de la tabla del 7.
Step-by-step explanation:
Esto es así porque 7 puede formarse a través de diversas sumas (7+0, 6+1, 5+2 o 4+3). Por ende, en el caso de las tablas de multiplicaciones, decir, por ejemplo, 7 x 3, es igual a decir 5 x 3 + 2 x3, dado que 5 + 2 es igual a 7.
Entonces, siguiendo el ejemplo, dado que 7 x 3 es igual a 21, la suma de 5 x 3 igual a 15 y 2 x 3 igual a 6 es 21 (15 + 6), con lo cual la afirmación es correcta.
Find the slope of the line containing the two points. (If an answer is undefined, enter UNDEFINED.)(1, 5), (−2, 5)
Answers
ANSWER:
0
STEP-BY-STEP EXPLANATION:
We can calculate the slope in the following way:
\(m=\frac{y_2-y_1}{x_2-x_1}\)We replace the points and calculate the slope:
\(m=\frac{5-5}{-2-1}=\frac{0}{-3}=0\)That the slope is 0 means that it does not form any angle with the horizontal, that is, if we draw a line in a Cartesian plane, then any line that is parallel away from "x" is horizontal.
Hi I really need help with answering this! I will give you brainest! And is it okay if you explain why and how you got this answer, thanks so much!
Answers
Answer:
18 students took the bus to school.
Step-by-step explanation:
If 1/4 of the students walked, that leaves 3/4 of the students who did not walk. That leaves 22.5 students. Out of these students 22.5, 4/5 of them take the bus, and 4/5 of 22.5 is 18.
What is the answer using substitution X+(x-178)=676
Answers
write a sequence with these terms
a)are multiple of 10
b)all even numbers
c)are multiple of 10
d) include 60and 70
e)end with 80
Answers
Answer:
a) 10, 20, 30, ...
b) 2, 4, 6, ...
c) 10, 20, 30, ...
d) 61, 66, 71, 76, ...
e) 180, 280, 380, ...
i dont know if this is correct but hope it helps
Write an equation in slope-intercept form of the line that passes through the point (5,12) and has a slope of m= -2/5
Answers
The general equation of line with the slope "m" and passing points (a,b) is :
y - b = m (x - a)
In the given question, we have slope, m = -2/5 and passing points (a,b) = (5,12)
Substitute the value of m = -2/5, a = 5, b = 12 in the general equation of line.
\(undefined\)When a beaker of sand is dried in a hot oven its mass reduces from 1.2kg to 870g. Find the percentage reduction in its mass.
Answers
Answer:
Step-by-step explanation:
the mass 1.2kg=1200 g
1200/870=120/87= 40/29
Solve the following equations in the forms asked.
Answers
Answer:
Below in bold.
Step-by-step explanation:
Vertex form.
y = a(x - h)^2 + k
The point (h, k) is the vertex so from the graph:
y = a(x - 1)^2 - 8
From the x -interesect we see that x = 6 when y = 0 so
0 = a(6 - 1)^2 - 8
25a - 8 = 0
a = 8/25
So the vertex form is
y = (8/25)(x - 1)^2 - 8.
Factored form:
y = (8/25)(x + 4)(x - 6)
- as -4 and 6 are the zeros of the equation.
Standard form:
From the factored form we have
y = (8/25)(x^2 - 2x - 24)
y = 8/25 x^2 - 16/25 x - 192/25
or (in decimal form):
y = 0.32x^2 - 0.64x - 7.68.
A small box measures 7 in. by 10 in. by 3 in. high. Find the volume of the box.
Answers
Answer:
210 in.
Step-by-step explanation:
Volume of a box = V = length x width x height
You don't have to know which number is the length, width and height since you are multiplying all of them together anyways.
V = 7in x 10in x 3in
V = 210 in
The volume of the box 210 cubic inches.
What is volume of cuboid?The volume of a cuboid is defined as the total number of cubic units occupied by the cuboid completely. A cuboid is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object.
The dimensions of given box is length=7 inches, width=10 inches and height=3 inches.
We know that, volume of cuboid is length×width×height
Now, volume =7×10×3
= 210 cubic inches
Therefore, the volume of the box 210 cubic inches.
Learn more about the volume of a cube here:
https://brainly.com/question/11168779.
#SPJ2
Find the value of f(-6)
Answers
Answer:
-8
Step-by-step explanation:
simplify -6/3 divided by 2/-9
Answers
Answer:
9
Step-by-step explanation:
Answer:
its 4 over 9 :)
Step-by-step explanation:
Round 12.511 to the nearest TENTHS
Answers
Answer:
12.5Step-by-step explanation:
That would be 12.5 because 12.51 is closer to 12.50 than it is compared to 12.6.
The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below.
Age 15-19 20-24 25-29 30-34 35-39 40 44 45-54 Number of Multiple Births 89 508 1631 2822 1855 374 119 (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old P(30 to 39) =______
(Type an integer or decimal rounded to three decimal places as needed.)
(b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39)=_____ (Type an integer or decimal rounded to three decimal places as needed.) (c) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was less than 45 years old. P(less than 45)=_____
(Type an integer or decimal rounded to three decimal places as needed.) (d) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. Interpret this result. Is it unusual? Find the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. P(at least 40) =_____ (Type an integer or decimal rounded to three decimal places as needed.) Interpret this result. Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) A. If 1000 multiple births for women 15-54 years old were randomly selected, we would expect about of them to involve a mother who was at least 40 years old. B. If 1000 multiple births for women 15-54 years old were randomly selected, exactly of them would involve a mother who was at least 40 years old. Is a multiple birth involving a mother who was at least 40 years old unusual? A. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05.
B. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05. C. No, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05. D. No, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05.
Answers
Using the given data on the number of live multiple-delivery births for women aged 15 to 54, we need to calculate probabilities related to the age groups of the mothers. The probability of a randomly selected multiple birth involving a mother aged 30 to 39 will be determined, as well as the probabilities of not being in the age range, being less than 45, and being at least 40. Finally, we need to interpret whether a multiple birth involving a mother aged at least 40 is unusual.
(a) To calculate the probability of a randomly selected multiple birth involving a mother aged 30 to 39, we sum the number of multiple births in that age group and divide it by the total number of multiple births for women aged 15 to 54.
P(30 to 39) = 2822 / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(b) To find the probability of a randomly selected multiple birth involving a mother who is not aged 30 to 39, we subtract the probability found in part (a) from 1.
P(not 30 to 39) = 1 - P(30 to 39)
(c) To determine the probability of a randomly selected multiple birth involving a mother aged less than 45, we sum the number of multiple births for age groups below 45 and divide it by the total number of multiple births for women aged 15 to 54.
P(less than 45) = (89 + 508 + 1631 + 2822 + 1855 + 374) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(d) To find the probability of a randomly selected multiple birth involving a mother aged at least 40, we sum the number of multiple births for age groups 40-44 and 45-54, and divide it by the total number of multiple births for women aged 15 to 54.
P(at least 40) = (374 + 119) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
Interpretation: The answer to part (d) will determine whether a multiple birth involving a mother aged at least 40 is unusual. If the probability is less than 0.05, it can be considered unusual. Therefore, we need to compare the calculated probability to 0.05 and select the correct choice.
To know more about probability here: brainly.com/question/32117953
#SPJ11
Find the approximate side lengths and perimeter of quadrilateral WXYZ. If necessary, round your answers to the nearest hundredth.
The approximate length of segment WX is
\(\left[\begin{array}{ccc}2\\4. 12\\4. 47\\5\end{array}\right]\)
The approximate length of segment XY is
\(\left[\begin{array}{ccc}2\\4. 12\\4. 47\\5\end{array}\right]\)
The approximate length of segment YZ is
\(\left[\begin{array}{ccc}2\\4. 12\\4. 47\\5\end{array}\right]\)
The approximate perimeter of quadrilateral WXYZ is \(\left[\begin{array}{ccc}14\\14. 47\\15\\15. 59\end{array}\right]\)
Answers
The side length of quadrilateral WXYZ are
|WX| = 4.47
|XY| = 2
|YZ| = 4
|ZW| = 4
The perimeter of quadrilateral WXYZ is 14.47 units.
The four points W, X, Y, and Z are located at ponts (3,1), (7,-1), (7,-3), and (3,-3) respectively.
To find the distance between two points, A and B, with coordinates (x1, y1) and (x2, y2) respectively, we use the formula:
|AB|=√(x2 – x1)² + (y2 – y1)²
The side lengths of the quadrilateral are calculated using this formula.
|WX| = √(– 1 – 1)² + (7 – 3)² = 4.47
|XY| = √(– 3 – (– 1))² + (7 – 7)² = 2
|YZ| = √(– 3 – (– 3))² + (3– 7)² = 4
|ZW| = √(– 3 – 1)² + (3 – 3)² = 4
Hence, the Perimeter of the quadrilateral = |WX| + |XY| + |YZ| + |ZX| = 4.47 + 2 + 4 + 4 = 14.47 units
Learn more about the perimter here brainly.com/question/6465134
#SPJ4
You have twenty blankets that each take up 704 cubic inches of space. How many blankets could you pack into a 22-inch moving box?
a. 5 blankets
b. 15 blankets
c. 10 blankets
d. 18 blankets
Answers
Answer:
15
Step-by-step explanation:
Answer:
B) 15 Blankets
Step-by-step explanation:
Two families go to a movie on Saturday night. The Jefferson family purchases 2 adult tickets and 2 youth tickets for $42. 50. The Mendoza family purchases 4 adult tickets and 3 youth tickets for 76. 25 dollars
Answers
The cost of one adult tickets would be $12.5 and the cost of one youth tickets would be $8.75 .Therefore the cost of six adult tickets and eight youth tickets would be 6(12.5) + 8(8.75) = $145.
Let the cost of adult tickets be x.
Let the cost of youth tickets be y.
So, from the given condition given in question the equations are :-
For The Jefferson family,
2x + 2y = 42.50
x + y = 21.25 —---------- equation(1)
and for The Mendoza family,
4x + 3y = 76.25 —------ equation(2)
To solve above equation 4 × equation(1) - equation(2).
y = 8.75
and x = 12.5
Hence the cost of one adult tickets would be $12.5 and the cost of one youth tickets would be $8.75 .
Therefore the cost of six adult tickets and eight youth tickets would be 6(12.5) + 8(8.75) = $145.
Visit here to learn more about the equations: https://brainly.com/question/10413253
#SPJ4
—-------- Correct question format is given below —--------
(Q). Two families go to a movie on Saturday night. The Jefferson family purchases 2 adult tickets and 2 youth tickets for $42.50. The Mendoza family purchases 4 adult tickets and 3 youth tickets for $76.25. How much would it cost to purchase six adult tickets and eight youth tickets?