Answer:
We do not reject the null
Step-by-step explanation:
Given that :
Sample size, n = 41
Test statistic ; Zstatistic ;= 1.53
Critical value ; Zcritical ; = 2.57
The null hypothesis H0 ;
H0: μ1 - μ2 = 0
Alternative hypothesis, H1 ;
H1: μ1 ≠ μ2
Decision region :
Reject Null ; if |Zstatistic ≥ Zcritical|
Zstatistic > Zcritical
Result :
1.53 < 2.57
Zstatistic < Zcritical
Hence, we do not reject the null ; there is no significant evidence that there is difference in the average yield of the two samples.
find each measurement indicated. Round your answers to the nearest tenth. Please show work. Part 1
9514 1404 393
Answer:
33.0 m26.1 mi28.0 mi33.0 miStep-by-step explanation:
In each of these Law of Sines problems, you are given side a and angles B and C and asked for side c (problems 1, 3, 4) or side b (problem 2). The solution is basically the same for each:
Find the missing angle. Find the side from ...
c = a·sin(C)/sin(A)
__
1. angle A = 180°-89°-58° = 33°
c = (18 m)sin(89°)/sin(33°) ≈ 33.0 m
__
2. angle C = 180°-13°-17° = 150°
b = (58 mi)sin(13°)/sin(150°) ≈ 26.1 mi
__
3. angle A = 180°-61°-89° = 30°
c = (16 mi)sin(61°)/sin(30°) = 28.0 mi
__
4. angle A = 180°-39°-127° = 14°
c = (10 mi)sin(127°)/sin(14°) ≈ 33.0 mi
Alexis is working for a GPS company. The GPS software has recently been updated with a new algorithm and Alexis needs to
check to see if it is calculating properly. Alexis places Charlotte area on a grid and finds Charlotte to be at (6,7) and Gastonia
is at (-1,4). What is the distance between them, if each unit is two miles?
Answer:
2root(58) == 15.23 miles
Step-by-step explanation:
Find distance between two points --> root( (x2 - x1)^2 + (y2 - y1)^2 ) = root (3^2 + 7^2) = root ( 58), as one unit is two miles then 2* root(58) = 15.23 miles.
If you find it is helpful plz give Brainliest
Need help with this question please !!!
Answer: 27
Step-by-step explanation:
24, 3, 29, 24, 8, 38, 62
Find the range of the data set
Answer:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 62−3=59 62 - 3 = 59 .
Step-by-step explanation:
Answer:
The answer is 59
Step-by-step explanation:
Fill in the blank so that the ordered pair is a solution of y = 6x +7: 4,25)
a) 13
b) 1
c) 18
d) 3
Answer:
it is either A OR B
Step-by-step explanation:
A holiday store is having a sale on bows and rolls of wrapping paper. One sign in the store states, “Buy 1 bow and 1 roll of wrapping paper for only $6.00.” A second sign in the store states, “5 bows and 1 roll of wrapping paper will only cost $10.00.”
In dollars and cents, the cost of a single roll of wrapping paper costs $
.
Answer:
3.00
Step-by-step explanation:
One bow and and 1 roll of wrapping paper cost 6.00$
so the roll by itself would cost 6.00$
HELP PLEASE
(Look at the picture)
A. 100
B. 130
C. 160
D. 200
E. 260
Answer: I think it B (130)
Step-by-step explanation: .........
How many license plate numbers consisting of three letters followed by
two numbers are possible when repetition is not allowed?
need help with this right now
Answer:
i believe number 4 is the answer
10 PONITS
Can someone help me
Answer:
1st step
Step-by-step explanation:
7/10 is greater than 1/2
Answer:
Step 1
Step-by-step explanation:
A manufacturer of a new nicotine nasal spray claims that their product has a 30% success rate for smoking cessation. In a clinical study involving 150 smokers, 93 of them quit smoking. Test the hypothesis that the success rate claimed by the manufacturer is valid at the 5% level of significance.
answer:
we reject null and conclude that this manufacturers claim is false
Step-by-step explanation:
p = 30% = 0.30
p^ = 93/150 = 0.62
we state the hypothesis
H0: p = 0.30
h1: p not equal to 0.30
we find the z test stattistics
[tex]z=\frac{p^--p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
[tex]z=\frac{0.62-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }[/tex]
[tex]z=\frac{0.32}{\sqrt{\frac{0.30*0.70}{150} } }[/tex]
[tex]z=\frac{0.32}{0.03741}[/tex]
z = 8.5538
at alpha = 0.05
z-critical = Z₀.₀₅/₂ = Z₀.₀₂₅
= 1.96
we compare z critical with the test statistic
z statistic > z critical so we have to reject H₀ and conclude that the manufacturers claim is not valid at 0.05 level of significance.
patrick walks at 6/8 kilometer per 8 hour. how far will he in 5 hours?
Answer:
In 5 hours, he will go 3 ¾ kilometers far.
Step-by-step explanation:
Please send help. I really need this asap
Answer:
Part a) The area of the figure is [tex]\frac{9}{2} (4+\pi ) cm^{2}[/tex]
Part b) The perimeter of the figure is [tex]3(2+2\sqrt{2} +\pi )cm[/tex]
What proves angle BDE is congruent to CDE. ∆ADB and ∆ADC are congruent.
Answer: We will use the SAS (SIDE-ANGLE-SIDE) to prove that the two triangles are congruent. This states that if two sides and the included angle in one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
First line
First column: AB is congruent to CB Second column: Given
Second line
First column: angle ABD is congruent to angle CBD Second column: Given
At this point we have the SIDE-ANGLE portion of SAS. We just need the other side. We can see from the given angles that they both share a side...BD.
Third Line
First column: BD is congruent to BD Second column: Reflexive property
All that is left is to state SAS.
Fourth Line
First Column: Triangle ABD is congruent to triangle CBD Second column: SAS (from lines 1,2,3)
The total service time of a multistep manufacturing operation has a gamma distribution with mean 18 minutes and standard deviation 6 minutes.
(a) Determine the parameters alpha and lambda of the distribution. (solving these two parameters using the mean and the standard deviation)
(b) Assume that each step has the same exponential distribution for service time. What distribution for each step and how many steps produce this gamma distribution of total service time?
Answer:
The answer is "[tex]\bold{r=9, \lambda=\frac{1}{2}\ and \ \ \text{exponential, 9 steps}}[/tex]"
Step-by-step explanation:
In point a:
We are aware of the random gamma variable X:
[tex]\to \mathbb{E} =\frac{r}{\lambda}\\\\\to Std(X) =\frac{\sqrt{r}}{\lambda}\\\\[/tex]
It is given:
[tex]\to \mathbb{E} = 18 \\\\\to std(X)=6[/tex]
[tex]\to 18=\frac{r}{\lambda}\\\\ \to 6=\frac{\sqrt{r}}{\lambda}\\\\[/tex]
Substituting the value:
[tex]\to \frac{\sqrt{r}}{6}=\frac{r}{18}\\\\\to r=9\\\\\to \lambda=\frac{1}{2}\\\\[/tex]
In point b:
When building the Erlang/Gammas distribution, these could reasonably be assumed to become an exponential distribution only with \lambda = 1/2 parameter with one step but to be r = 9 for one step.
please. help me
thank you
Answer:
-30,10
Step-by-step explanation:
How to get 60 to -30 : 60 divided by -30 is -2
How to get -20 to 10: -20 divided by 10 is -2
In ΔMNO, the measure of ∠O=90°, the measure of ∠N=38°, and OM = 87 feet. Find the length of NO to the nearest tenth of a foot.
Answer:
111.4
Step-by-step explanation:
trust
please solve the question. unit 10: circles homework 2: Central angles, arc measures, and arc length.
Answer:
Step-by-step explanation:
(9x-22) + 61 + (5x-7) + 34 = 360
14x = 294
x = 21°
:::::
arc GK = 9x-22 = 167°
:::::
arc HJ = 5x-7 = 98°
:::::
arc HGK = arc GK + 61 + 34 = 262°
:::::
arc GKJ = arc GK + 34 = 201‡
Angles in a circle add up to 360 degrees.
[tex]\mathbf{x = 21}[/tex][tex]\mathbf{GK = 167}[/tex][tex]\mathbf{HJ = 98}[/tex][tex]\mathbf{HGJ = 262}[/tex][tex]\mathbf{GKJ = 201}[/tex]The given parameters are:
[tex]\mathbf{GH = 61}[/tex]
[tex]\mathbf{HJ = 5x - 7}[/tex]
[tex]\mathbf{JK = 34}[/tex]
[tex]\mathbf{KG = 9x - 22}[/tex]
The sum of angles in a circle is 360 degrees.
So, we have:
[tex]\mathbf{GH + HJ + JK + KG=360}[/tex]
So, we have:
[tex]\mathbf{(9x-22) + 61 + (5x-7) + 34 = 360}[/tex]
[tex]\mathbf{14x = 294}[/tex]
Divide both sides by 14
[tex]\mathbf{x = 21}[/tex]
GK is calculated as:
[tex]\mathbf{GK = 9x - 22}[/tex]
[tex]\mathbf{GK = 9 \times 21 - 22}[/tex]
[tex]\mathbf{GK = 167}[/tex]
HJ is calculated as:
[tex]\mathbf{HJ = 5x - 7}[/tex]
[tex]\mathbf{HJ = 5 \times 21 - 7}[/tex]
[tex]\mathbf{HJ = 98}[/tex]
HGJ is calculated as:
[tex]\mathbf{HGJ = HG + GK + KJ}[/tex]
[tex]\mathbf{HGJ = 61 + 167 + 34}[/tex]
[tex]\mathbf{HGJ = 262}[/tex]
GKJ is calculated as:
[tex]\mathbf{GKJ =GK + KJ}[/tex]
[tex]\mathbf{GKJ = 167 + 34}[/tex]
[tex]\mathbf{GKJ = 201}[/tex]
Read more about angles in a circle at:
https://brainly.com/question/12260532
7x + 14
Please fasttt
Answer:
7x + 14
Step-by-step explanation:
Answer:
Step-by-step explanation:
7(x + 2)
Use the Distributive Property to correctly rewrite or simplify the expression:
21k+13k+9k
Answer:
21k+9k+13, and simplified into 43k.
Step-by-step explanation:
The distributive property means that you can put addends or factors in any order to get the same result(9+1=10, 1+9=10)
21k+13k+9k can be re-written into 21k+9k+13, and simplified into 43k.
Answer:
43k
Step-by-step explanation:
See the photo to answer, worth 25 pts
Answer:
ITS C plz mark me brainliest
Step-by-step explanation:
Find the radius or diameter of the circle with the given dimentions.
r = 21 ft
Answer Choices:
a. 50 ft
b. 42 ft
c. 131.9 ft
d. 10.5 ft
Answer:
b. 42
Step-by-step explanation:
Your trying to find the diameter since radius is r
diameter is always double of radius
A store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. The manager decides to mix 10 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts separately?
There should be __ pounds of cashews in the mixture.
(Type an integer or a decimal.)
Answer:
7.5 pounds
Step-by-step explanation:
The computation is shown below:
let us assume x be the pounds of cashews,
and the total pounds will be x + 10
Now the equation is
10($1.5) + x(5.00) = (10 + x)(3.00)
15 + 5x = 30 + 3x
2x = 15
x = 7.5 pounds
A ball is thrown straight up into the air. The height of the ball t seconds after it is thrown is modeled by the equation h(t) = 48t – 16t2. After how many seconds will the ball hit the ground?
A. 1
B. 1.5
C. 3
D. 3.5
Answer:
b
Step-by-step explanation:
gravity
A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well that is 50 ft deep. The bucket is filled with 42 lb of water and is pulled up at a rate of 2.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.25 lb/s. Find the work done in pulling the bucket to the top of the well. Show how to approximate the required work by a Riemann sum. (Let x be the height in feet above the bottom of the well. Enter xi* as xi.)
Answer:
the work done in pulling the bucket to the top of the well is 2125 ft-lb
Step-by-step explanation:
Given that;
Weight of the bucket is 3 lb
weight of water which can be filled in the bucket is 42 lb
Total weight of bucket and water = 3 + 42 = 45 lb
distance, the bucket filled with water is to be pulled 50 ft
now, let at any time t be the bucket at distance x ft from the bottom of the well
then, t = x/2 × S
where S is the rate at which water is leaking from the bucket
so at this time t, the amount pf water which leaked from the bucket is;
⇒ x ft / 2.5 ft/s × 0.25 lb/s
= 0.25 lb.s⁻¹ / 2.5 ft.s⁻¹ × x ft
= 0.1 lb/ft × x ft
= 0.1x lb
now, as x represent the distance that the bucket has been raised, we the force F applied to the bucket x to be;
F = ( 45 - 0.1x ) lb
so, the required worked by Riemann sum as;
[tex]\lim_{n \to \infty}[/tex]ⁿ∑_[tex]_{i=1}[/tex] ( 45 - 0.1x[tex]_i[/tex]* ) Δx
so, the work done, pulling the bucket up will be;
[tex]\lim_{n \to \infty}[/tex]ⁿ∑_[tex]_{i=1}[/tex] ( 45 - 0.1x[tex]_i[/tex]* ) Δx = [tex]\int\limits^{50}_0 {(45-0.1x)} \, dx[/tex]
= [ 45x - 0.1[tex]\frac{x^2}2}[/tex] ]⁵⁰₀
= 45 × 50 - 0.1/2 × (50)²
= 2250 - 125
= 2125 ft-lb
Therefore, the work done in pulling the bucket to the top of the well is 2125 ft-lb
I WILL GIVE MAX POINTS IF YOU WRITE STEPS AND SOLVE PLZZZZZZ
Answer:
Step-by-step explanation:
so we need two even intergeters that add to 70 when we multiply the bigger by 2 and add the smaller to that soooo
70= 2*y + x
but we can express x in terms of y b/c it's a consecutive even integer soo
(b/c x+2 = y, then x = y -2)
70= 2*y + (y-2)
70 = 2y + y - 2
72 = 3y
24 = y :) nice the bigger is 24 so the smaller is 22
70 = 2*24 + 22
70 = 48 + 22
70 = 70 nice !
bigger = 24
smaller = 22
:)
Answer:
bigger = 24
smaller = 22
Step-by-step explanation:
Question 2 of 10
What is the slope-intercept equation of the line below?
O A. y = -2x-3
O B. y = -2x + 3
O C. y = 2x-3
O D. y = 2x + 3
Answer:
y=2x-3
Step-by-step explanation:
First we find the y-intercept of this graph whic in this case is -3. Then we plot two pints on the graph and caculate the rise over run which is 2/1=2. Finally, we get the equation- y=2x-3.
mr sigmon has 24 students in his classroom 1/4 of them are girls
Answer:
6 of his class are girls
Step-by-step explanation:
24/4=6
If 26 feet 10 inches is cut from a wire that is 44 feet 8 inches long what is the length of wire that is left ?
Answer:
17 feet 10 inches
Step-by-step explanation:
26 feet 10 inches is cut from a wire that is 44 feet 8 inches
Therefore the length of wire that is left can be calculated as follows
44 feet 8 inches - 26 feet 10 inches
= 17 feet 10 inches
3^5 + 6^3 evaluate the expression
Answer:
459
Step-by-step explanation:
because 3^5 is 243 and 6^3 is 216 then add up 243+216=459