Answer:
36 because 1/6 * 1/6 = 1/36 outcomes or 36 outcomes expressed in the denominator.
Step-by-step explanation:
To pass the time on his travels, Ibn Battuta decides to run a test to see if the mean caravan size passing through a certain outpost is greater than 20 camels. He records the sizes of 7 caravans that pass through, assume that this represents a simple random sample of all caravans. After noticing that a smaller number of caravans are significantly larger than the rest of the population, he concludes the population is quite different from normal. He does not know the population's standard deviation. Which of the following describe which kind of test he should run?
a. He should run a Z-test.
b. He should run a T-test, and approximating it with a normal distribution would be appropriate.
c. He should run a T-test, and approximating it with a normal distribution would be inappropriate.
d. None of the above would be appropriate tests.
In the given scenario, one can use only non-parametric tests as the distribution is not normal.
Statistically speaking, normality means the distribution of data or variables following a normal distribution, also known as a Gaussian distribution or bell curve.
a. Since the standard deviation of the population is not known, Z-test cannot be run.
b. According to the thumb rule, for approximation to normality by using the central limit theorem, the minimum sample size is required to be 30.
With a sample size of 7, normality cannot be assumed.
So, a t-test with approximating the distribution with normal distribution would not be appropriate to run.
c. Without normality assumptions, one can't run a t-test because the t-test's basic assumption is the normality of the distribution.
So, all the options are incorrect which leaves us with the option d. None of the above would be appropriate tests.
Learn more about Normality here:
https://brainly.com/question/32993226
#SPJ12
One angle of a right triangle measures 51°. What is the measure of the other acute angle, in degrees?
Answer:
39 degree
Step-by-step explanation:
180-90-51=39
First step to solve this equation x-5=7-2x
Answer:
The answer is Add 2x to both sides of the equation
Step-by-step explanation:
find an equation of the line that satisfies the given conditions. through (2,3); slope 5
Answer:
y = 5x - 7
Step-by-step explanation:
Here, we are given two clues:
It must pass the point (2, 3)It must have a slope of fiveLet us put the slope into the slope intercept form.
y = 5x + b
We do not know what b is. So, we can go onto Desmos (a secure, graphing website) to see what the y-intercept is. If we do so, we see that we must move the line 7 units downwards to hit the point (2, 3). This means that the equation is:
y = 5x - 7
Hope this helps!
Find the area of the triangle.
26 ft
44 ft
The area of the triangle is
A sample of residents in a certain community is chosen by first partitioning the
community into 8 districts and then choosing a random sample of 30 people from
each district.
Simple random sample
Stratified sample
Clustered sample
Systematic sample
Convenient sample
Voluntary response sample
Using sampling concepts, it is found that this is an example of a Stratified sample.
Samples are classified as:
Convenient: Drawn from a conveniently available pool. Random: All the options into a hat and drawn some of them. Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed. Stratified: Also divides the population into groups. However, only some elements of each group are surveyed.In this problem, the population is divided into groups, according to the 8 districts, and then 30 members of each district is chosen, which is a stratified sample.
A similar problem is given at https://brainly.com/question/25122507
The sum of two numbers is 42. The larger number is 2 more than 4 times the smaller number. What is the smaller number?
Answer:
the lesser number is 3
Step-by-step explanation:
42÷2=21
3×7=21
yhe question states the lesser number is 2 mote than 4 times
True or False
If you know at least one
angle on the diagram
below you can find the
other three.
Which of the following statements is true?
Answer:
Provide the statements please
Step-by-step explanation:
If you answer this for me you will get brainless
Answer:
50.27
Step-by-step explanation:
A=πr2=π·42≈50.26548
I need help please!!
make X the subject
P/Q = rx²
M/n = 1/x²
Answer:
x^2=Pr/Q
x^2=n/M
..................
what is the answer to this (235-(-30) /5-100
Answer:
265/ -95 = -2.789
Step-by-step explanation:
235 - - 30 /5 - 100
two negatives equal a positive +
265/5 - 100
265/-95
-2.789
In a fruit cocktail, for every 30 ml of orange juice you need 45 ml of apple juice and 25 ml of coconut milk. What proportion of the cocktail is coconut milk?
A regular pentagonal prism has an edge length 9 m, and height 13 m. Identify the volume of the prism to the nearest tenth.
Answer:
V= 1811.7 M^3
Step-by-step explanation:
Identify the rational numbers as positive or negative.
Answer:
Step-by-step explanation:
We have to follow these rules:
+/+ = +
-/- = +
+/- = -
-/+ = -
so
positive numbers:
+2/+3 ; -2/-3 ; -1/-3 ; +1/+3
negative numbers:
+2/-3 ; -2/+3 ; -1/+3 ; +1/-3
At many college bookstores, students can decide whether to purchase or to rent a textbook for a class. A study was conducted to investigate whether the percent of rented textbooks for all science classes in the state was greater than the percent of rented textbooks for all literature classes in the state. The following hypothesis test was done at the significance level of α=0.05α=0.05.
H0:pS=pLHa:pS>pLH0:pS=pLHa:pS>pL
In the hypotheses, pSpS represents the proportion of all science textbooks that are rented, and pLpL represents the proportion of all literature textbooks that are rented.
All conditions for inference were met, and the resulting pp-value was 0.035. Which of the following is the correct decision for the test?
The pp-value is less than αα. Since 0.035<0.050.035<0.05, the null hypothesis is rejected, and the claim is supported. There is convincing statistical evidence that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
A The pp-value is less than αα, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
B The pp-value is less than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
C The pp-value is greater than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
D The pp-value is greater than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
Answer:
A The p-value is less than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
Step-by-step explanation:
Given :
Percentage rented science textbooks = pS
Percentage rented Literature textbooks = pL
To test if percentage Science textbooks in the state was greater than percentage Literature textbooks :
H0: pS = pL
Ha: pS > pL
Pvalue = 0.035 ; α = 0.05
Decision Region :
If Pvalue < α ; We reject H0
In the scenario above,
Pvalue < α ; 0.035 < 0.05 ; Hence, we reject the Null ;
We conclude that There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
Check whether the relation R on the set S = {1, 2, 3} is an equivalent
relation where:
= {(1,1), (2,2), (3,3), (2,1), (1,2), (2,3), (1,3), (3,1)}. Which of the
following properties R has: reflexive, symmetric, anti-symmetric,
transitive? Justify your answer in each case?
Answer:
[tex]R[/tex] isn't an equivalence relation. It is reflexive but neither symmetric nor transitive.
Step-by-step explanation:
Let [tex]S[/tex] denote a set of elements. [tex]S \times S[/tex] would denote the set of all ordered pairs of elements of [tex]S\![/tex].
For example, with [tex]S = \lbrace 1,\, 2,\, 3 \rbrace[/tex], [tex](3,\, 2)[/tex] and [tex](2,\, 3)[/tex] are both members of [tex]S \times S[/tex]. However, [tex](3,\, 2) \ne (2,\, 3)[/tex] because the pairs are ordered.
A relation [tex]R[/tex] on [tex]S\![/tex] is a subset of [tex]S \times S[/tex]. For any two elements[tex]a,\, b \in S[/tex], [tex]a \sim b[/tex] if and only if the ordered pair [tex](a,\, b)[/tex] is in [tex]R\![/tex].
A relation [tex]R[/tex] on set [tex]S[/tex] is an equivalence relation if it satisfies the following:
Reflexivity: for any [tex]a \in S[/tex], the relation [tex]R[/tex] needs to ensure that [tex]a \sim a[/tex] (that is: [tex](a,\, a) \in R[/tex].)Symmetry: for any [tex]a,\, b \in S[/tex], [tex]a \sim b[/tex] if and only if [tex]b \sim a[/tex]. In other words, either both [tex](a,\, b)[/tex] and [tex](b,\, a)[/tex] are in [tex]R[/tex], or neither is in [tex]R\![/tex].Transitivity: for any [tex]a,\, b,\, c \in S[/tex], if [tex]a \sim b[/tex] and [tex]b \sim c[/tex], then [tex]a \sim c[/tex]. In other words, if [tex](a,\, b)[/tex] and [tex](b,\, c)[/tex] are both in [tex]R[/tex], then [tex](a,\, c)[/tex] also needs to be in [tex]R\![/tex].The relation [tex]R[/tex] (on [tex]S = \lbrace 1,\, 2,\, 3 \rbrace[/tex]) in this question is indeed reflexive. [tex](1,\, 1)[/tex], [tex](2,\, 2)[/tex], and [tex](3,\, 3)[/tex] (one pair for each element of [tex]S[/tex]) are all elements of [tex]R\![/tex].
[tex]R[/tex] isn't symmetric. [tex](2,\, 3) \in R[/tex] but [tex](3,\, 2) \not \in R[/tex] (the pairs in [tex]\! R[/tex] are all ordered.) In other words, [tex]3[/tex] isn't equivalent to [tex]2[/tex] under [tex]R\![/tex] even though [tex]2 \sim 3[/tex].
Neither is [tex]R[/tex] transitive. [tex](3,\, 1) \in R[/tex] and [tex](1,\, 2) \in R[/tex]. However, [tex](3,\, 2) \not \in R[/tex]. In other words, under relation [tex]R\![/tex], [tex]3 \sim 1[/tex] and [tex]1 \sim 2[/tex] does not imply [tex]3 \sim 2[/tex].
please help! I really don't understand!
If f(x) = 3x+ 5 and g(x) = – 2x2 – 5x + 3, find (f + g)(x).
Answer: 1/8
Step-by-step explanation:(f÷g)(x) =
f(x) / g(x) =
2x / 22x
When we divide expressions with like bases, we subtract the exponents.
2(x - 2x) =
2-x
Now we substitute x = 3
So (f÷g)(3)
2-3
When we have a negative exponent, we perform the reciprocal of the expression and remove the negative sign from the exponent.
1/(23) =
1/8
Chris recorded the temperature, to the nearest °F, for a city over two weeks.
Week
1
37 35 34 30 32 36 34
Week
37 36 40 33 31 30 31
N
What is the difference between the median temperature of week 1 and the median
temperature of week 2?
1
3
2
The number of hours, h, it takes for a block of ice to melt varies inversely as the temperature, t. If it takes 3 hours for a
square inch of ice to melt at 60 degrees, find the constant of proportionality
a. 150
c. 210
b. 180
d. 200
Answer:
180
Step-by-step explanation:
hours = constant / temperature hours varies inversely as the temperature
3 = c / 60
c (constant) = 3 * 60 = 180
Answer:
b. 180
Step-by-step explanation:
Jason helped his dad put plastic and aluminum items into the recycling container. The container is a large cube with a length, width, and height of 6 feet. What is the volume of the recycling container?
36 cubic feet
72 cubic feet
216 cubic feet
396 cubic feet
Answer:
The answer is 216 cubic feet
Step-by-step explanation
when its in cubic it means that their talking about voulme and when dealing with voulme you need to multiply length times width times height so 6 times 6 times 6 which equals 216 cubic feets
Hope this helps^^
Answer:
216
Step-by-step explanation:
The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $3. There is 1 winning ticket out of the 140 tickets sold. The winner gets a prize worth $84. Round your answers to the nearest cent.
What is the expected value (to you) of one raffle ticket?
Calculate the expected value (to you) if you purchase 8 raffle tickets?
What is the expected value (to the PTO) of one raffle ticket?
If the PTO sells all 140 raffle tickets, how much money can they expect to raise for the classroom supplies?
Answer:
A) 0.54
B) 4.32
C) 2.4
D) 336
Step-by-step explanation:
A)Expected value (you) = (84 × 3) × [tex]\frac{1}{140}[/tex] × (0.3)× [tex]\frac{139}{140}[/tex]
= 0.54
B) Expected value (you) 8 tickets = 0.54 × 8
= 4.32
C) Expected value ( for PTO) = ( 3 - 84) × [tex]\frac{1}{140}[/tex] + ( 3 - 0 ) × [tex]\frac{139}{140}[/tex]
= 2.4
D) For 140 raffle tickets = 2.4 × 140
= 336
Need Help plzzzzzzxxxz
Answer:
[tex]VW = 50[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find VW
To find VW, we make use of the following equivalent ratios.
[tex]YX : XW = ZX : XV[/tex]
Where:
[tex]YX = ZX - ZY = 42 - 28 = 14[/tex]
[tex]XV = XW + VW = 25 + VW[/tex]
So, we have:
[tex]14 : 25 = 42 : 25 + VW[/tex]
Express as fraction
[tex]\frac{14 }{ 25 }= \frac{42 }{ 25 + VW}[/tex]
Divide both sides by 14
[tex]\frac{1}{ 25 }= \frac{3}{ 25 + VW}[/tex]
Cross multiply
[tex](25 + VW) * 1 = 3 * 25[/tex]
[tex]25 + VW = 75[/tex]
Solve for VW
[tex]VW = 75 -25[/tex]
[tex]VW = 50[/tex]
what is the place name of 2 in 25
Answer:
no idea
Step-by-step explanation:
bro
Answer:
20
Step-by-step explanation:
Hope this helps
One year there was a total of 59 commercial and noncommercial orbital launches worldwide. In addition, the number of noncommercial orbital launches was two more
than twice the number of commercial orbital launches. Determine the number of commercial and noncommercial orbital launches.
Answer:
The number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40.
Step-by-step explanation:
IMPORTANT INFORMATION: The number of noncommercial orbital launches was two more than twice the number of commercial orbital launches.
Let's say that the number of commercial orbital launches is equal to x. Now, the number of noncommercial orbital launches is equal to 2x+2.
We are told that if we add the number of commercial and noncommercial orbital launches together we will get 59.
Therefore, if we add 2x+2 with x we should get 59:
2x+2+x=59
3x+2=59
3x=57
x=19
This is how we can come to the answer that the number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40 (2x+2=2*19+2=38+2=40).
Hope this helps!
find the product -2X²×4X²y²
Answer:
-8X^4y^2
Step-by-step explanation:
-2X² × 4X²y² = -8X^4y^2
edit to add:
first: multiply the coefficients together:
-2 x 4 = -8
second: add the exponents of X together (when you multiply exponents, you just add them together):
² & ² = ^4
and you have the answer:
-8X^4y^2
Step-by-step explanation:
-2X²×4X²-y²
= -4X × 16X - y
= 64X -y
Jorge is making 6 large salads and 4 small salads. How many cherry tomatoes does he need?
Answer:
84 cherry tomatoes
Step-by-step explanation:
6(10) + 4(6)
60 + 24
84
dylan has 128 prices of candy from Halloween . he eats half of his candy each week.
identify the function family .
creat a equation to model the scenario .
use equation to determine how much candy he will have after 9 weeks ?
Answer:
55.5 left over.
Step-by-step explanation:
128/2 = 64
half each week so;
1 whole = two weeks
8 weeks = 8
+ 1 = 8 1/2
so, 64/8.5
is going to be 55.5 left.