Answer:
the possible outcome sequences when a die is rolled 4 times is 1296
Step-by-step explanation:
Given the data in the question;
a die is rolled 4 times
and outcomes are { 3, 4, 3, 1 }
we know that; possible number of outcomes on a die is n = 6{ 1,2,3,4,5,6 }
Now when we roll a die lets say, r times
then the total number of possible outcomes will be;
N = [tex]n^r[/tex]
given that; r = 4
Hence if we roll a die 4 times;
Total number of possible outcome N = 6⁴
N = 1296
Therefore, the possible outcome sequences when a die is rolled 4 times is 1296
A survey of 35 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated. You're testing the claim that the mean difference is greater than 0.7. From the sample, the mean difference was 0.95, with a standard deviation of 0.44. Calculate the test statistic, rounded to two decimal places
Answer:
The test statistic is t = 3.36.
Step-by-step explanation:
You're testing the claim that the mean difference is greater than 0.7.
At the null hypothesis, we test if it is 0.7 or less, that is:
[tex]H_0: \mu \leq 0.7[/tex]
At the alternate hypothesis, we test if it is greater than 0.7, that is:
[tex]H_1: \mu > 0.7[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7[/tex]
Survey of 35 people. From the sample, the mean difference was 0.95, with a standard deviation of 0.44.
This means that [tex]n = 35, X = 0.95, s = 0.44[/tex]
Calculate the test statistic
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{0.95 - 0.7}{\frac{0.44}{\sqrt{35}}}[/tex]
[tex]t = 3.36[/tex]
The test statistic is t = 3.36.
I only need help on number six
Answer:
288 inches = 8 yards
Step-by-step explanation:
Answer:
[tex]6 . \: 8 \: yards \: = \: 288 \: inches[/tex]
[tex]8. \: 18 \: feets \: = \: 216 \: inches[/tex]
[tex]10. \: \frac{1}{3} \: yards \: = 12 \: inches[/tex]
Step-by-step explanation:
6. 1 yard = 36 inches
8 yards = 36 × 8
= 288
8. 1 feet = 12 inches
18 feets = 12 × 18
= 216 inches
10. 1/3 into decimal = 0.33333333333
1/3 yards = 0.33333333333 × 36
= 12 inches
Hope it is helpful....△JKL has vertices at J(−2, 4), K(1, 6), and L(4, 4). Determine whether △JKL is a right triangle
Answer:
Not a right triangle
Obtuse isosceles triangle.
Sides: J = 3.606 K = 6 L = 3.606
Step-by-step explanation:
hope helps you
have a nice day
Omar, Amare, and Jack paid a total of $68.25 for dinner and tickets to a concert. The concert
tickets cost $9.75 each. If the 3 friends split the dinner bill equally, how much did each friend
spend on dinner?
Answer:
32.5
Step-by-step explanation:
I I divided ot then added it together
the given tables shows the number of shirts and pants different people own. what number correctly completes the table so that each person has the same ratio of pants to shirts
Answer:
He needs 15 shirts
Step-by-step explanation:
We can use a ratio to solve
4 pants 6 pants
--------------- = -------------
10 shirts x shirts
Using cross products
4x = 10 *6
4x = 60
Divide each side by 4
4x/4 = 60/4
x = 15
He needs 15 shirts
A silo contains 60,000 pounds of grain.
How many tons are in 60,000 pounds?
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
I took the quiz, I hope this helps!
equations equivalent to x/4+1/3=5/6
Can someone help me please?
the answer is 0.62
62/100 = 0.62
Answer:
0.62
Step-by-step explanation:
the 62 is the number you're mainly working with and the 100 represents the place value! so the 100 means you need to place the top number in the hundredths place (0.62)
Hope this helps! Good luck with your math work!
67-2x+89/2+7-8x=0
help me please
Answer:
x = 11.85
Step-by-step explanation:
[tex]67 - 2x + \frac{89}{2} + 7 -8x = 0\\\\67 + \frac{89}{2}+7 = 8x + 2x\\\\\frac{134 + 89 +14}{2} = 10x\\\\10x = 118.5\\\\x = 11.85[/tex]
Answer:
[tex]x = 11 \frac{17}{20}[/tex] or [tex]\frac{237}{20}[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hi plz help, if you can ill mark you 5 starz! :)
Answer:
12 kg, 1200 mm, 1200 ml (twice), 12 m, and 120 mm
Answer:
12,000 is 12
120 is 120
1.2 L is 1200
1200 is 120
0.12 is 12
Kirenna's boss, Tanae, believes that women are not capable of making top-level decisions. Kireena's decisions are often sidelined by those of Tanae. When Kirenna confronts Tanae, he terminates her employment. Which of the following is the most appropriate suit that will help Kirenna?
a. a retaliation lawsuit
b. a forgery lawsuit
c. a reverse discrimination suit
d. a public policy violation lawsuit
e. a civil right infringement lawsuit
Answer:
e. a civil right infringement lawsuit
Step-by-step explanation:
A civil right infringement lawsuit is a lawsuit filed by an offender whose civil rights have been violated by others. Civil rights are those rights of the citizens that is guaranteed by the Constitution of the United States to its people. They are right to equality, right to freedom, right to employment and all those rights that is included in the Bill of Rights of the US constitution.
So, when Kirenna was terminated by her boss, Tanae on the grounds on the discrimination of gender, Kirenna can file a civil right infringement lawsuit against her boss, Tanae.
Match each tool with how we used it in class
Answer:
1 - b
2 - a
3 - c
Step-by-step explanation:
For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
TABLE
x y
-------
2 10
4 24
6 36
Answer:
y does not vary directly with x
Step-by-step explanation:
The equation for direct variation is
y = kx ← k is the constant of variation
If k is constant for all ordered pairs in the table then direct variation.
k = [tex]\frac{y}{x}[/tex]
(2, 10 ) → k = [tex]\frac{10}{2}[/tex] = 5
(4, 24 ) → k = [tex]\frac{24}{4}[/tex] = 6
(6, 36 ) → k = [tex]\frac{36}{6}[/tex] = 6
Since k is not constant for all pairs then y does not vary directly with x
PLS ANSWER RN
What is the area of AJKL?
Answer:
8.5
Step-by-step explanation:
slope of the line that contains KL
(y2 - y1)/(x2-x1)
(0-1)/(7-3)
m = -1/4
slope of the line that contains JK
(5-1)/(4-3)
m = 4
the linea are perpendicular so triangle is right
area = (leg1 x leg2)/2
KL = [tex]\sqrt{(7-3)^2 + (0-1)^2} = \sqrt{16 + 1} = \sqrt{17}[/tex]
KJ = [tex]\sqrt{(4-3)^2 + (5-1)^2}= \sqrt{1 + 16} = \sqrt{17}[/tex]
area = (√17)^2/2 = 17/2 = 8.5
Dan spent 0.125 of his money in snacks, 1/4 on travelling and saved the
rest. If he saved $65, how much money did he have at first?
Answer:
89.38
Step-by-step explanation:
65 times 0.125 = 8.125
65 times 0.25 = 16.25
16.25 plus 8.125 plus 65 = 89.38 dollars
What is the range of y= sec-'(x)? PreCal, send help please!!
Given:
The function is:
[tex]y=\sec^{-1}(x)[/tex]
To find:
The range of the given function.
Solution:
We have,
[tex]y=\sec^{-1}(x)[/tex]
The range of secant inverse function is:
[tex]Range=\{y|0\leq y\leq \pi , y\neq \dfrac{\pi}{2}\}[/tex]
The range of the given function in interval notation is:
[tex]Range=\left[0,\dfrac{\pi}{2}\right)\text{ and }\left( \dfrac{\pi}{2}, \pi\right ][/tex]
Therefore, the correct option is C.
PLEASE HELP IM BEING TIMED
Answer:
1
Step-by-step explanation:
Any number to the 0 power is equal to 1.
Hope that this helps!
Answer:
1 is correct
Any number that is raised to the power of 0 is 1, and any number that’s raised to the power of 1 is itself
Find the equation (in terms of x ) of the line through the points (-3,4) and (1,-8)
Answer:
A(-3,4) B(1,-8)
y-y1/x-x1 =y2-y1/x2-x1
y-4/x--3 = -8-4/1--3
y-4/x+3 = -12/1+3
y-4/x+3 =-12/4
y-4/x+3 = -3
y-4 = -3(x+3)
y-4=-3x-9
y+3x +9-4=
y+3x+5=0
Answer:
y = -3x - 5
Step-by-step explanation:
-3, 4 and 1, -8
1 - -3 = 4
-8 - 4 = -12
[tex]\frac{-12}{4}[/tex] = [tex]\frac{-3}{1}[/tex] = -3
gradient/slope = -3
now substituting in the point -3, 4 to find the y intercept:
4= -3 x -3 + c
4 = 9 + c
-5 = c
y intercept = -5
equation is y = -3x - 5
What's the answer to this? I thought it was -138 apparently it's not? :(
Find the volume of the cone. Round your answer to the nearest hundredth.
Answer:
I believe the answer is 1.36
PLS HELP ASAP!! need the answer
Answer:
60 degrees
Step-by-step explanation:
Encuentre el volumen de 35 kg de oro
if you found any words about mathematics, tell me please
Answer:
geometry
Step-by-step explanation:
left side of paper
Write the inverse function for the function, ƒ(x) =1/2 x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.
ƒ -1(x) =
ƒ -1(4) =
Answer:
0
Step-by-step explanation:
Given that f(x) = 1/2x + 4
Let y = f(x)
y = 1/2 x + 4
Replace y with x
x = 1/2 y + 4
Make y the subject of the formula
1/2y = x - 4
y = 2(x-4)
If x = 3
y = 2(4-4)
y = 2(0)
y = 0
Hence ƒ -1(4) is 0
Q.6.
Lisa wanted to paint her ugly brown flower box
red. Using the given dimensions, how many square
inches will she have to paint? (remove the top
base)
Answer:
10x22x8
Step-by-step explanation:
1760 is the answer
PLEASE HELP
what's x
cos(x+pi)-sin(x-pi)=0
please show work
sin(x+pi)=-sin(x)=sin(-x)=cos(pi/2)
cos (x+pi)=-cos(x)
So according to the question:
cos(pi/2 +x)=cos(x)
Using the solution of cos, obtain:
(pi/2) + x = 2pi +- (x)
case#1: (pi/2) + x = 2pi + (x)
But here, the value of x is canceled, just
case#2: (pi/2) + x = 2pi - (x)
answer------------>>>>>>>>> x=pi-pi/4
The expression 4x* represents 144
Answer:
x=36
Step-by-step explanation:
because 4x36=144
Answer:
4x = 144
4 • 36 = 144
The answer to the equation is 36
The price of an item has been reduced by 70% the original price was $20 what is the price of the item now
Jake studied
z
hours for a big test. Julie studied half as long.
Write an algebraic expression for long Julie studied.
Answer:
(1/2)z
Step-by-step explanation:
What is the area of the figure? NO LINKS!!
Answer:
Area of the figure is 88 square inches