Answer:
1 a [tex]p -value = 0.030054[/tex]
1b [tex]p -value = 0.0029798[/tex]
1c [tex]p -value = 0.0039768[/tex]
2a [tex]p-value = 0.00099966[/tex]
2b [tex]p-value = 0.00999706[/tex]
2c [tex]p-value = 0.0654412[/tex]
Step-by-step explanation:
Considering question a
The alternative hypothesis is H1:μ>μ0
The test statistics is z =1.88
Generally from the z-table the probability of z =1.88 for a right tailed test is
[tex]p -value = P(Z > 1.88) = 0.030054[/tex]
Considering question b
The alternative hypothesis is H1:μ<μ0
The test statistics is z=−2.75
Generally from the z-table the probability of z=−2.75 for a left tailed test is
[tex]p -value = P(Z < -2.75) = 0.0029798[/tex]
Considering question c
The alternative hypothesis is H1:μ≠μ0
The test statistics is z=2.88
Generally from the z-table the probability of z=2.88 for a right tailed test is
[tex]p -value = P(Z >2.88) = 0.0019884[/tex]
Generally the p-value for the two-tailed test is
[tex]p -value = 2 * P(Z >2.88) = 2 * 0.0019884[/tex]
=> [tex]p -value = 0.0039768[/tex]
Considering question 2a
The alternative hypothesis is H1:μ>μ0
The sample size is n=16
The test statistic is t = 3.733
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 16 - 1[/tex]
=> [tex]df = 15[/tex]
Generally from the t distribution table the probability of t = 3.733 at a degree of freedom of [tex]df = 15[/tex] for a right tailed test is
[tex]p-value = t_{3.733 , 15} = 0.00099966[/tex]
Considering question 2b
The alternative hypothesis is H1:μ<μ0
The degree of freedom is df=23
The test statistic is ,t= −2.500
Generally from the t distribution table the probability of t= −2.500 at a degree of freedom of df=23 for a left tailed test is
[tex]p-value = t_{-2.500 , 23} = 0.00999706[/tex]
Considering question 2c
The alternative hypothesis is H1:μ≠μ0
The sample size is n= 7
The test statistic is ,t= −2.2500
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 7 - 1[/tex]
=> [tex]df = 6[/tex]
Generally from the t distribution table the probability of t= −2.2500 at a degree of freedom of [tex]df = 6[/tex] for a left tailed test is
[tex]t_{-2.2500 , 6} = 0.03272060[/tex]
Generally the p-value for t= −2.2500 for a two tailed test is
[tex]p-value = 2 * 0.03272060 = 0.0654412[/tex]
Triangle ABC is shown on the coordinate plane below . The triangle is reflected across the y - axis and then translated 3 units to the right to form triangle A'B'C ' .
PLEASEEE HURRRY
Answer:is D
Step-by-step explanation:
Answer: B
Coordinates: A’ (-3,2). B’ (-3,-3). C’(0,-2)
what is point B on the number line?!?
Answer:
-0.4
hope this helps :)
show your work
16 = k/11
The product of 6 and the difference of 8 and a number.
As an algebraic expression
Answer:
6 * (8 - x)
Step-by-step explanation:
When you said "a number" I just wrote x
hope this helps I may have written it wrong
The second term of a geometric sequence is and the sixth term is 2 and 32
The first term, a and the common ratio, r.
Answer:
There are two sets of solutions:
either [tex]a = 1[/tex] and [tex]r = 2[/tex], or[tex]a = -1[/tex] and [tex]r = -2[/tex].Step-by-step explanation:
The question states that [tex]a[/tex] and [tex]r[/tex] should represent the first term and the common ratio of this geometric sequence, respectively. Therefore:
First term of this sequence: [tex]a[/tex].Second term of this sequence: [tex]r\, a[/tex].Third term of this sequence: [tex]r^2\, a[/tex].And so on so forth. Each term of this sequence after the first term is equal to [tex]r[/tex] times the previous term.Let [tex]n[/tex] denote a positive whole number. In general, the [tex]n\![/tex]-th term of this geometric sequence would be [tex]r^{n-1}\, a[/tex].
The sixth term of this sequence would thus be [tex]r^{6-1}\, a = r^5\, a[/tex].
The fact that the second term is [tex]2[/tex] and the sixth term is [tex]32[/tex] gives two equations about [tex]a[/tex] and [tex]r[/tex]:
[tex]\displaystyle \left\lbrace\begin{aligned}& r\, a = 2 \\ & r^5\, a= 32\end{aligned}\right.[/tex].
Take the quotient of these two equations to eliminate [tex]a[/tex]:
[tex]\displaystyle \frac{r^5\, a}{r\, a} = \frac{32}{2}[/tex].
[tex]r^4 = 16[/tex].
There are two possible roots: either [tex]r = 2[/tex] or [tex]r = -2[/tex].
When [tex]r = 2[/tex], substitute back to the first equation and solve for [tex]a[/tex]: [tex]a = 1[/tex].
On the other hand, when [tex]r = -2[/tex], substituting back and solving for [tex]a[/tex] would give [tex]a = -1[/tex].
Substitute these values into the second equation. Either set of values will work.
An engine pulls four identical carriages. The engine is the length of 2/3
a carriage and the total length of the train is 86.8 m. Find the length
of the engine.
Answer:
12.4m
Step-by-step explanation:
In order to solve this equation, we can use the length of a carriage as our unknown value (using the engine is a bit more difficult). The questions says that the whole train: 4 carriages and an engine = 86.8m
If we represent carriage length as 'x', we can write the following equation:
4x (length of 4 carriages) + (2/3)x (length of engine as it is 2/3 of a carriage) = 86.8m
4x+(2/3)x = 86.8
From here we can combine into one fraction:
[tex]4x+\frac{2}{3} x=\frac{14}{3}x[/tex]
So now our equation looks like this:
[tex]\frac{14x}{3}=86.8[/tex]
Now all we need to do is multiply both sides by 3 and then divide both sides by 14 to isolate and solve x:
[tex]\frac{14x}{3}*3=86.8*3\\ 14x=260.4\\\frac{14x}{14}=260.4/14\\ x=18.6\\[/tex]
Now that we know the carriage length, we can use it to find the engine length:
Engine length = 2/3 Carriage length
[tex]E=\frac{2}{3}x\\ E=\frac{2}{3} (18.6)\\E = 12.4m[/tex]
Hope this helped!
Length of a carriage = x
Length of four carriages = 86.8 m
Length of each carriage =
[tex]86.8 \div 4 \: m \\ = \: 21.7 \: m[/tex]
Length of one carriage = 21.7 m
Length of the engine =
[tex] = \frac{2}{3} x[/tex]
[tex] = \frac{2}{3} \times 21.7[/tex]
[tex] = 43.4 \: m[/tex]
[tex]43.4 \div 3 \: m \\ = 14.4666666667 \: m[/tex]
∴ The length of the engine is 14.4666666667 m .
4. Volunteers are moving a pile of mulch at a park. The pile has 324 cubic feet of mulch. They move it using
wheelbarrows that hold 2.8 cubic feet each. The volunteers can move 11 wheelbarrows per hour. How many
cubic feet are left in the pile after the volunteers have moved mulch for 6 hours?
(1) 89.4
(3) 184.8
(2) 139.2
(4) 206.2
The perimeter of a playing field for a certain sport is 214 ft. The field is a rectangle, and the length is 41 ft longer than the width . Find the dimensions.
Answer:
width: 33 ft
length: 74 ft
Step-by-step explanation:
The perimeter of a rectangle is calculated by adding all of the sides together which includes two lengths and two widths. Since the formula for the length is given (l = 41ft + w) and the perimeter is given, then we can simply use the perimeter formula and substitute the value of length with its formula which would only leave us with one variable in the equation w. Now we must solve for w.
l + l + w + w = 214
(41 + w) + (41 +w) + w + w = 214 ... combine like terms
82 + 4w = 214 ... subtract 82 from both sides
4w = 132 ... divide both sides by 4
w = 33 ft
Finally, we can see that the value of the width is 33 ft . Now we plug this value into the formula for length to calculate its value.
l = 41 + w
l = 41 + 33
l = 74 ft
Consider the set of whole numbers from 3 to 30, inclusive.
List the numbers that meet the condition: less than six or prime
List the numbers, separated by commas.
The numbers less than 6 or prime are [tex]4,5,6,7,11,13,17,19,23,29[/tex]
Whole and prime numbers:Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative
A prime number is a number that has only two factors, that is, 1 and the number itself.
The prime numbers between 3 to 30 are,
[tex]7,11,13,17,19,23,29[/tex]
We have to find the numbers that are less than 6 or prime.
Numbers are, [tex]4,5,6,7,11,13,17,19,23,29[/tex]
Learn more about prime numbers here:
https://brainly.com/question/145452
3 divided by 5/6=___
Answer:
2.5
Step-by-step explanation:
There are 38 buses in the parking lot and each bus holds 74 people how many people are able to ride the buses
Answer:
2812 people
Step-by-step explanation: There are 38 buses and each holds 74 people so 38 x 74= 2812
Hope this helps :)
PLEASE help. Will give brainliest.
Answer:
y=5
x=10 and
z=2
Step-by-step explanation:
since they are equivalance then,
for
triangle ABC and triangle DFE
AB=DF,BC=FE and AC= DE
So, AB=DF
8y-20= 4y
or, y=5
Then, BC= FE
2x+5=x+15
or, x=10
and
AC=DE
3z+9=10z-5
or, z= 2
hope u got ut.
The triangles are parallel thus their sides are equal to each other peer to peer.
So ;
[tex]x + 15 = 2x + 5[/tex]
Subtract sides -5
[tex]x + 15 - 5 = 2x + 5 - 5[/tex]
[tex]x + 10 = 2x[/tex]
Subtract sides -x
[tex]x - x + 10 = 2x - x[/tex]
[tex]x = 10[/tex]
_________________________________
[tex]4y = 8y - 20[/tex]
Subtract sides -8y
[tex]4y - 8y = 8y - 8y - 20[/tex]
[tex] - 4y = - 20[/tex]
Negatives simplifies
[tex]4y = 20[/tex]
Divided sides by 4
[tex] \frac{4}{4}y = \frac{20}{4} \\ [/tex]
[tex]y = 5[/tex]
_________________________________
[tex]10z - 5 = 3z + 9[/tex]
Plus sides 5
[tex]10z - 5 + 5 = 3z + 9 + 5[/tex]
[tex]10z = 3z + 14[/tex]
Subtract sides -3z
[tex]10z - 3z = 3z - 3z + 14[/tex]
[tex]7z = 14[/tex]
Divided sides by 7
[tex] \frac{7}{7}z = \frac{14}{7} \\ [/tex]
[tex]z = 2[/tex]
_________________________________
And we're done....♥️♥️♥️♥️♥️
12 + 5 + 32 × 10 − 5 =
(12 + 5) + 32 × (10 − 5) =
Answer:
1. 332
2. 177
Step-by-step explanation:
Help me guys ! Or girls I need help
Answer:
A)---(2,2)
B)---(-6,4)
C)---(-4,7)
D)---(2,4)
Answer:
A= (2,2) B= (-6,4) C= (-4,7) D= (2,4)
Step-by-step explanation:
1. Find y, A. and B.
3A=120 degrees (bcoz they are alternate exterior angles)
A= 40 degrees
5B= 120 degrees( bcoz they're alternate exterior angles)
B= 24 degrees
to find value of y I equalized
8+15=29/3 + y
y= 23-29/3
y=17/3
Which is a possible combination of root types for a 7th degree polynomial? 3 irrational roots, 4 complex roots 6 rational roots, 1 irrational root 7 rational roots 2 rational roots, 2 irrational roots, 3 complex roots
Answer:
There are four possible combinations of root types for a 7th degree polynomial:
(i) 7 rational roots. ([tex]a_{\mathbb{Q}} = 7[/tex], [tex]a_{\mathbb{I}} = 0[/tex], [tex]a_{\mathbb{C}} = 0[/tex])
(ii) 6 rational roots, 1 irrational root. ([tex]a_{\mathbb{Q}} = 6[/tex], [tex]a_{\mathbb{I}} = 1[/tex], [tex]a_{\mathbb{C}} = 0[/tex])
(iii) 2 rational roots, 1 irrational root, 4 complex roots. ([tex]a_{\mathbb{Q}} = 2[/tex], [tex]a_{\mathbb{I}} = 1[/tex], [tex]a_{\mathbb{C}} = 2[/tex])
(iv) 3 irrational roots, 4 complex roots. ([tex]a_{\mathbb{Q}} = 0[/tex], [tex]a_{\mathbb{I}} = 3[/tex], [tex]a_{\mathbb{C}} = 2[/tex])
Step-by-step explanation:
According to the Fundamental Theorem of Algebra, every polynomial with degree higher than zero has at least a solution and at best [tex]n[/tex] complex roots, where [tex]n[/tex] is the degree of the polynomial. In this case, we have 7 roots.
We can rewrite the 7th degree polynomial as a product of a 3rd degree polynomial and 4th degree polynomial. That is:
[tex]p_{7}(x) = p_{3}(x)\cdot p_{4}(x)[/tex] (Eq. 1)
From Algebra we know that both 3rd degree and 4th degree polynomials are solvable by analytical means:
1) All 4th degree polynomials are solvable by Ferrari's method, whose posible solutions are, respectively:
(i) 4 rational roots.
(ii) 4 irrational roots.
(iii) 2 rational roots, 2 irrational roots.
(iv) 3 rational roots, 1 irrational root.
(v) 1 rational roots, 3 irrational roots.
(vi) 2 rational roots, 2 complex roots.
(vii) 2 irrational roots, 2 complex roots.
(viii) 1 rational root, 1 irrational root, 2 complex roots.
(ix) 4 complex roots.
2) All 3rd degree polynomials are solvable by Cardano's method, whose possible solutions are, respectively:
(i) 3 rational roots.
(ii) 3 irrational roots.
(iii) 1 rational root, 2 complex roots.
(iv) 1 irrational root, 2 complex roots.
(v) 3 complex roots.
Please note that complex roots are always presented in conjugated pairs by Quadratic Formula.
The number of solutions of a polynomials are represented by the following expression:
[tex]n = a_{\mathbb{Q}}+a_{\mathbb{I}}+2\cdot a_{\mathbb{C}}[/tex] (Eq. 2)
Where:
[tex]a_{\mathbb{Q}}[/tex] - Number of rational roots, dimensionless.
[tex]a_{\mathbb{I}}[/tex] - Number of irrational roots, dimensionless.
[tex]a_{\mathbb{C}}[/tex] - Number of pairs of complex roots, dimensionless.
Based on this expression, we find the possible root types for a 7th degree polynomial:
(i) 7 rational roots. ([tex]a_{\mathbb{Q}} = 7[/tex], [tex]a_{\mathbb{I}} = 0[/tex], [tex]a_{\mathbb{C}} = 0[/tex])
(ii) 6 rational roots, 1 irrational root. ([tex]a_{\mathbb{Q}} = 6[/tex], [tex]a_{\mathbb{I}} = 1[/tex], [tex]a_{\mathbb{C}} = 0[/tex])
(iii) 2 rational roots, 1 irrational root, 4 complex roots. ([tex]a_{\mathbb{Q}} = 2[/tex], [tex]a_{\mathbb{I}} = 1[/tex], [tex]a_{\mathbb{C}} = 2[/tex])
(iv) 3 irrational roots, 4 complex roots. ([tex]a_{\mathbb{Q}} = 0[/tex], [tex]a_{\mathbb{I}} = 3[/tex], [tex]a_{\mathbb{C}} = 2[/tex])
Which of the following is a true statement 68/5 - 22/5 = 9 1/5
Please somebody awnser
Answer:
The answer is D
Step-by-step explanation:
I took the test and got it right <3
Answer: The first question in the selection is correct!
Step-by-step explanation:
Natalie can do 26 push ups in 2 minutes how many can she do in 7 minutes? set up porportion
Answer:
In seven minutes she can do 91 push ups
Step-by-step explanation:
26*3=78
78+13=91
sol brought a tablet on sale for 45% off the original price. If he paid $132 for it, what was the price of the tablet before the sale?
Answer: 240
Step-by-step explanation:
The price of the tablet before the sale is, $240.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Sol brought a tablet on sale for 45% off the original price.
And, He paid $132 for tablet.
Now, Let the original price of tablet = x
So, We can formulate;
⇒ x - 45% of x = $132
⇒ x - 45x/100 = $132
⇒ (100x - 45x) / 100 = $132
⇒ 55x = $13200
⇒ x = $13200 / 55
⇒ x = $240
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1?
1, –0.25, –1.5, –2.75, –4, . . .
1, 2.25, 3.5, 4.75, 6, . . .
4, 2.75, 1.5, 0.25, –1, . . .
4, 5.25, 6.5, 7.75, 8, . . .
Answer:
4, 2.75, 1.5, 0.25, –1, . . .
Step-by-step explanation:
edge2020
Can someone help me with this question?
Answer:
Angle JKN and Angle JKI are supplementary angles.
Step-by-step explanation:
When these two angles are added together, they will equal to 180 degrees.
Answer:
left bottom option
Step-by-step explanation:
when the value of their angles are added they sum up to be 180
can someone help me please with 582 x 23 ≈ __________ x __________ = 12,000
Answer:
Step-by-step explanation:
582×23≈600×20=12,000
Which number is equal to 10^3
Answer: is 0.001
10^-3 = (1)/(10^3) move the negative exponent to the denominator (1)/(1000) simplify 10^3 in the denominator (1)/(1000) = 0.001
Step-by-step explanation:
Hope you have a great night
Answer: 0.001
Step-by-step explanation:
Howard's pawn shop bought an antique clock at the wholesale price of $725. Howard marked up the price of the clock
30%. What was the list price of the clock?
holour
Answer:
942.50
Step-by-step explanation:
725×30% or 0.3 = 217.5
217.5+725=942.5
Solve the equation. Then check your solution.
1. 1/4 = a +3/8
Find the square root of each number.
40=
Answer:
6.32455532034
is the square root of 40
The following equation represents the total price of hot dogs, p=3.25h. How much will you pay for 4 hot dogs? WRITE ONLY THE NUMBER FOR YOUR ANSWER.
Answer:
13
..................
Lisa Has 17 cookie she subtracts 19 and adds 156 then she divides by 4.
Answer:
38.5
Step-by-step explanation:
17-19= -2
-2+156=154
154 divided by 4= 38.5
it should be 17 - 19 + 154 then divided by 4
so 38.5 cookies
if a distibution has a mean of 50 and a standard devation of 25, how many standard deviation is 0 from the mean
Answer:
2
Step-by-step explanation:
Here, we have a mean of 50 and a standard deviation of 25, we now need to find out in terms of standard deviation how 0 is far from 50.
Firstly, we subtract 0 from 50
That gives 50. Now, we need to divide this difference by the standard deviation
That will be 50/25 and that makes it 2
So 0 is two deviations away from 50
Find the value of. -
[(-4) + (-8)] = [(-4)=2x2
(a) 3
(b)-3
(C) 4
(d) - 4
Answer:
d
Step-by-step explanation:
