Answer:
There is enough statistical evidence to suggest that the department's claim is not true
Step-by-step explanation:
The mean weekly sales μ₀ ≤ 2,400 packages
The period over which the weekly sales were measured = Over the last 6 months
The number of stores in the sample, n = 61 stores
The sample mean, [tex]\overline x[/tex] = 3,593
The sample standard deviation, s = 4919
The significance level = 7% = 0.07
The critical value approach
The null hypothesis, H₀; μ ≤ μ₀
The alternative hypothesis, Hₐ; μ > μ₀
The test statistic is given as follows;
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]
We get;
[tex]t=\dfrac{3,593-2,400}{\dfrac{4,919}{\sqrt{61}}} \approx 1.894[/tex]
With df = n - 1 = 61 - 1 = 60 at 7% significant level, from a graphing calculator the critical-t, = 1.495598
The p-value at the test statistic is between 0.01 and 0.005
Given that the p-value is less than the significant level, and the test statistic is larger than the critical-t we reject the null hypothesis, that the mean weekly aerosol sale is less than 2,400 packages.
Therefore, there is sufficient statistical evidence to suggest that the departments claim is not true and the mean sales of Aerosols have increased to more than 2,400 packages
Which angles are represented by the same point on the unit circle as pi/4 ?
Answer:
d) [tex]\frac{9\pi }{4}[/tex]
Step-by-step explanation:
[tex]\frac{9\pi }{4} = 2\pi + \frac{\pi }{4}[/tex]
The correct options are a and d because -7pi/4 and 9pi/4 are the required angles.
Important infromation:
The given angle is [tex]\dfrac{\pi}{4}[/tex].Angles:The angles [tex]\theta\pm 2n\pi [/tex] represent the same point on the unit circle as [tex]\theta[/tex].
It means, [tex]\dfrac{\pi}{4}\pm 2n\pi [/tex] represents the same point on the unit circle as [tex]\dfrac{\pi}{4}[/tex].
The required angles are:
[tex]\left\{...,\dfrac{\pi}{4}-4\pi,\dfrac{\pi}{4}-2\pi, \dfrac{\pi}{4},\dfrac{\pi}{4}+2\pi,\dfrac{\pi}{4}+4\pi,...\right\}[/tex]
[tex]\left\{...,-\dfrac{15\pi}{4},-\dfrac{7\pi}{4}, \dfrac{\pi}{4},\dfrac{9\pi}{4},\dfrac{17\pi}{4},...\right\}[/tex]
Therefore, the correct options are a and d.
Find out more about 'Angles' here:
https://brainly.com/question/23475646
A jar contains 7 red marbles, 9 blue marbles and 3 green marbles. Christopher wins if he picks a blue marble and Janet wins if she picks a red marble. Is this game fair? Why or why not?
No, the game is not fair because Christopher has a higher probability of winning than Janet.
Yes, the game is fair because Christopher and Janet do not have an equal probability of winning.
No, the game is not fair because Janet has a higher probability of winning than Christopher.
Yes, the game is fair because Christopher and Janet have an equal probability of winning.
Answer:
No, the game is not fair because Christopher has a higher probability of winning than Janet.
Step-by-step explanation:
christopher's probability: 9/19
janet probability: 7/19
Simplify 12x6 y7 18 x3y5.
Answer:
216x^9y^12
Step-by-step explanation:
Find the total surface area of the pyramid.
4 in.
6 in.
6 in.
Answer:96
Step-by-step explanation:
Okay first we would find the area of the triangle like we would for a regular square or rectangle right? LXW but we would divide by 2 for each of the triangle and add them up and then we’d do the bottom and this time no dividing by 2 just do LXW HOPES THIS HELPS
Which table represents a nonlinear function? pls hurry
Answer:
1st one
Step-by-step explanation:
Linear means straight and when you graph this one it is a straight line
What is the area of the triangle shown?
Answer:
Hello! answer: 120
Step-by-step explanation:
Formula for triangle area:
base × height ÷ 2
24 × 10 = 240 240 ÷ 2 = 120 therefore the area is 120 Hope that helps!
Find the surface area of the prism.
Answer:
792 feet
Step-by-step explanation:
based on my calculations this is the answers.
792... I think thats the answer beacause that's what I got sorry if incorrect. Have a great day.
In a group of 101 students 40 are juniors, 50 are female, and 22 are female juniors. Find the probability that a student picked from this group at random is either a junior or female.
a) 90/101
b) 22/101
c) 68/101
d) 40/101
Answer:
I would say A. as a best guess but the question is odd it does not add up to 101 students it adds up to 101 plus all of them are female juniors so they would be picked every time it would be 101/101
A warehouse has a height of 8 2/10 meters, length of 120 meters, and width of 20 3/10 meters. What is the volume of the warehouse?
pls answer fast, best question gets brainliest
Answer:
59×695÷500×56677×6626
Simplify this expression to standard form: -3(2x -4) - 2
Answer:
−6x + 10
Step-by-step explanation:
- (−3) (2x) + (−3) (−4) + −2
- −6x + 12 + −2
- (−6x) + (12 + −2)
= −6x + 10
Determine the value of the indicated term.
a1 = -4, d=4
Determine the 15th term
Answer:
52
Step-by-step explanation:
The general arithmetic sequence formula for this case is
a(n) = -4 + d(n - 1).
Thus, a(15) = -4 + 4(14) = 52
Answer:
The 15th term = 52
Step-by-step explanation:
a₁ = -4
d = 4
n = 15
a₁₅ = The value of the 15th term, (this is what we have to find out)
We know that formula of an arithmetic series is:
aₙ = a₁ + d(n - 1)
Now we can substitute the given values in:
a₁₅ = -4 + 4(15 - 1)
a₁₅ = -4 + 4(14)
a₁₅ = -4 + 56
a₁₅ = 52
So the 15th term = 52
Hope this helps!
What is the length of RU ?
A) 5 cm
B) 10 cm
C) 6 cm
D) 8 cm
Answer:
B) 10 cm
Step-by-step explanation: since DC scaled up to 10 cm and they were both originally 6cm, RU would be 10cm.
Evaluate the following expression for m = 4.
4m + 2
please provide a step by step explanation (:
Answer:
6
Step-by-step explanation:
[tex]\sqrt{4}(4)[/tex] = [tex]\sqrt{16}[/tex]
[tex]\sqrt{16} =4[/tex]
[tex]4 + 2 = 6[/tex]
Answer:
C. 6
Step-by-step explanation:
[tex]\sqrt{4m}+2=\sqrt{4*4}+2=\sqrt{4^{2}} +2=4+2=6[/tex]
i need help with this question! will give thanks :)))
Answer:
2[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Use the distance formula and plug in the values
d=(3−(−3))2+(2−6)2√
d=(6)2+(−4)2√
d=36+16√
d=[tex]\sqrt{52}[/tex]
d= 2[tex]\sqrt{13}[/tex]
In a bag of plain M and M's Yellow 20% red 20% orange 10% blue 10% green 10% brown 30%
Three M and M's are chosen give the probabilities
1. none are red
2. The third one is the first one that is yellow.
Answer:
1) P(none are red) = 51.2%
2) P(third one is the first one that is yellow) = 12.8%
Step-by-step explanation:
We are given;
P(Yellow) = 20% = 0.2
P(red) = 20% = 0.2
P(Orange) = 10% = 0.1
P(Blue) = 10% = 0.1
P(green) = 10% = 0.1
P(brown) = 30% = 0.3
1) Probability that one is not red is;
P(one not red) = 1 - P(red)
P(one not red) = 1 - 0.2
P(one not red) = 0.8
Since 3 are selected, we will apply multiplication rule for independent events to get;
P(none are red) = 0.8 × 0.8 × 0.8
P(none are red) = 0.512
P(none are red) = 51.2%
2) To find the probability, that the third one is the first one that is yellow, we will use multiplication rule for independent events to get;
P(third one is the first one that is yellow)
= (1 - P(Yellow)) × (1 - P(Yellow)) × P(Yellow)
P(third one is the first one that is yellow) = (1 - 0.2) × (1 - 0.2) × 0.2
P(third one is the first one that is yellow) = 0.128
P(third one is the first one that is yellow) = 12.8%
A triangle contains angles measuring 28oand 37o. How many degrees is the third angle?
Which best describes her prediction? interpolation, because a key that is 12 keys from middle C is within the data set interpolation, because a key that is 12 keys from middle C is outside the data set extrapolation, because a key that is 12 keys from middle C is within the data set extrapolation, because a key that is 12 keys from middle C is outside the data set
Answer:
Extrapolation, because a key that is 12 keys from middle c is outside the data set.
Step-by-step explanation:
Given
See attachment for the data set
Required
Which option answers the question
From the attached dataset, we can see that 12 is not within the range of the data set.
When one makes predictions about a datum or set of data outside the range of the original dataset, then one is extrapolating.
Hence, (d) is correct
Answer:
d
Step-by-step explanation:
trust me
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
A, B, and C. Not D.
Step-by-step explanation:
He wants all four colors to have equal share on the quilt which means each color needs to have 4 squares each to make up equal share of the quilt. D is the only one that doesn't follow this rule so it is the only one that is incorrect and would not work as a design.
Find the volume of the figure below. Leave in terms of PT for answers that contain T Round your answer to the nearest hundredthir
necessary
m
A
4 m
O a
112 m
OD
37.33 m
29,63 m
44,41 m
Answer:
a
Step-by-step explanation:
bc look
Can someone please help me with math.
Answer:
A
Step-by-step explanation:
from age 5 to age 15 the number of hourse watched goes up and so on
If you spin the following spinner, what is the probability that you will land on red or green?
Answer:
2/5
Step-by-step explanation:
Find x if (3⋅5)⁴ ⋅ (2⋅3)⁵ ⋅ (2⋅5)⁷ = 2ˣ ⋅ 3ʸ ⋅ 5ᶻ
4. Solve 18 (c – 19) = 108. Show your steps
Answer:
c = 25
Step-by-step explanation:
First, you can divide by 18 on both sides:
18 (c - 19) = 108
÷ 18 ÷18
c - 19 = 6
To isolate the variable c, you can add 19 on both sides:
c - 19 = 6
+19 +19
c = 25
Answer:
c= 25
Step-by-step explanation:
108/18 = 6
6 +19 = 25
Simplify -8+4(-3)/5
A.) -4
B.) 4
C.) -4/5
Find the radius and area
16.8 cm
Answer:
I think it's 886.7
Step-by-step explanation:
hope this helps sorry if incorrect have a good rest of your day/night :) ❤
A square room has a perimeter of 40 feet. What is the area of the room?
Answer:
100 ft²
Step-by-step explanation:
There are 4 congruent sides in a square
Perimeter = 4x
40 = 4x
x = 10
Area = base x height or length x width
Since all sides are the same, 10 is base and height
10x10 = 100
units = ft²
Answer = 100 ft²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
100 feet (I forget area units so there might be an exponent or something)
Step-by-step explanation:
Basically, the formula for perimeter is the sum of all sides. With area, you are just multiplying length times width. With a square, all of the sides are equal, and there are four sides. 40/4=10. So, each side is 10 feet. With that, you can multiply 10*10 and get 100!
How many degrees are in a third of a full turn?
Answer:
120 degrees
Step-by-step explanation:
There are 120 degrees in a third of a full turn. To determine this, you need to start with a full turn which is 360 degrees.
Answer:
120⁰ is the answer. Hope it helps have a nice day also ;)
find the area of the irregular figure 3 in 3 in 4 in 4 in 6 in 8 in
Answer:
65 in
Step-by-step explanation:
Plz hurry find the surface area and volume to the nearest whole number
Answer:
87.96 or 88 - surface area
62.83 or 63 - volume
Step-by-step explanation:
Answer:
Surface area: 89 yd
Volume = 63 yd
Step-by-step explanation:
Surface area:
A=2πrh+2πr^2
=2·π·2·5+2·π·2^2
=87.96459
Volume:
V=πr2h
=π·22·5
=62.83185
????????????????????????????????????
Answer:
answer is 52.5
Step-by-step explanation:
hope it helps