Solution :
Given :
[tex]$n_1 = n_2 = 40$[/tex]
[tex]$\overline X_1 = 18$[/tex]
[tex]$S_1 = 4$[/tex]
[tex]$\overline X_2 = 12$[/tex]
[tex]$S_2 =10$[/tex]
So we want to test :
[tex]$H_0 : \mu_1=\mu_2 $[/tex] vs [tex]$H_1 : \mu_1 \neq \mu_2 $[/tex]
a). For 98% confidence interval :
[tex]$=\left((\overline X_1 - \overline X_2) \pm Tn_1+n_2-2, \alpha / 2 \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}\right)$[/tex]
[tex]$=\left((18-12) \pm 2.375 \sqrt{\frac{4^2}{40}+\frac{10^2}{40}}\right)$[/tex]
[tex]$=(6 \pm 4.0445)$[/tex]
= (1.956, 10.045)
1. Find
A) 35
B) 47.5
C) 67.5
D) 95
Answer:
i am pretty sure it is 95
Step-by-step explanation:
Answer:
B IS THE ANSWER.
Step-by-step explanation:
The angle is less than 50 degrees but more than 30.
Lodging is $75.00 per night. Find the cost of three nights and 7% sales tax.
Answer: $240.75
Step-by-step explanation:
The average weight of 3 books is
3/gm, one book weighs 3'/«gm
and the second 5/2gm. What is the
weight of the third?
The weight of the third book is approximately 5.33 grams.
How to calculate the valueAccording to the given information:
The average weight of the 3 books is 3 grams.
To find the average weight, we sum up the weights of all the books and divide by the total number of books:
(1/3 + 5/2 + x) / 3 = 3
Now we can solve this equation to find the weight of the third book:
(1/3 + 5/2 + x) = 3 * 3
(1/3 + 5/2 + x) = 9
(1 + 15 + 6x) / 6 = 9
(22 + 6x) / 6 = 9
22 + 6x = 54
6x = 54 - 22
6x = 32
x = 32 / 6
x ≈ 5.33
Therefore, the weight of the third book is approximately 5.33 grams.
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The average weight of 3 books is 3gm, one book weighs 1/3 gm and the second 5/2gm. What is the weight of the third?
meteroloogist track severe stoms using Doppler radar. A polar grid is used to measure distances as the storms progress. If the center of the radar screen is the origin and each ring is 10 miles farther from the center, what is the equation of the fourth ring
Answer:
[tex]$(x-h)^2+(y-k)^2= (r+ 40 )^2$[/tex]
Step-by-step explanation:
It is given that a meteorologist is using a Doppler radar to find out the distance of the storm as it passes using a polar grid.
The origin of the radar screen is its center.
And the distance between each ring is 10 miles from the center.
So let :
r = radius
h and k = be the coordinates of the center.
So the equation of a circle is :
[tex]$(x-h)^2+(y-k)^2= r^2 $[/tex]
Now the equation of the fourth circle when the radius changes by 10 miles is :
[tex]$(x-h)^2+(y-k)^2= (r+ 40 )^2$[/tex]
Classify the triangle as acute, obtuse, or right based on the given side
lengths. *
3,4,6
Acute
Obtuse
Right
1) What kind of mindset do you have when it comes to Math?
Explain.
Please help i dont Know how to answer it
Answer:
A mindset is kind of like a mood. They are asking you what kind of mood or how you feel when it comes to math.
Step-by-step explanation:
Example | Fixed Mindset: I'm jealous of other people's success. Growth Mindset: I am inspired by other people's success.
Write the exponential equation
A. y = 2.5(2)^x
B. y = 10(1/2)^x
C. y = 2(2.5) ^x
D. y = 1/2(10)^x
Answer:
A. y = 2.5(2)^x
Step-by-step explanation:
Given that when
x = 1, f(x) = 5
x = 2, f(x) = 10
x = 3, f(x) = 20
x = 4, f(x) = 40
x = 5, f(x) = 80
x = 6, f(x) = 160
Considering all the options
y = 2.5(2)^x
Substitute x = 1
y = 2.5(2)^1 = 2.5 *2 = 5
Substitute x = 2
y = 2.5(2)^2 = 2.5 * 4 = 10
Substitute x = 3
y = 2.5(2)^3 = 2.5 * 8 = 20
Substitute x = 6
y = 2.5 (2)^6
= 2.5 * 64
= 160
Since the function is true for all the values of x substituted, then the answer is A. y = 2.5(2)^x
Given x3/4 find a and b when changing to radical form a (square root) b
Answer:
0.9644
Step-by-step explanation:
need help ASAP plssssssssssssssssss
3,945 ÷ 45 = (?)
R (?)
given that 16 ounces is 1 pound, how many ounces are in 12.4 pounds.
A. 192
b.198.4
c. 201.6
d. 208
does anyone know the answer and how to show your work
Answer: (A)-2, -1
(b) 3,0
(C) 7,2
Step-by-step explanation:
So you just go and write the place and which ever one isnt there then theres you answer. I THINK
Need the answer to x and y !
x = 2 y = 7
Step-by-step explanation:
the explan at the pic
True or False
You can only multiply exponents when the bases are the same.
Answer:
The answer is false
Answer:
False
Step-by-step explanation:
Solve for X if D = -9
3 + 6x · 5d = ?
Answer:
3-270x
Step-by-step explanation:
Write the inequality for the description. Use x as your variable.
Mary has at least 14 pairs of shoes in her closet.
Answer:
x≤14
Step-by-step explanation:
≤ = greater than/equal to(at least)
15. The cost of an article including 15% for taxes is
$138.00. What is the cost of the article without
taxes?
Answer:
$120
Step-by-step explanation:
Set the cost of the article pre-tax as x.
x + 0.15x = 138
1.15x = 138
x = 138/1.15
x = $120
Answer: the cost of the article without taxes is $120.
The required cost of the article without taxes is $120.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
We have been given the cost of an article including 15% for taxes is $138.00.
Lets Set the cost of the article pre-tax as x.
x + 0.15x = 138
1.15x = 138
x = 138/1.15
x = $120
Therefore, the cost of an article including 15% for taxes is $138.00. the cost of the article without taxes is $120.
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Put this numbers from least to greatest.
A: 3.2, 0.67, 9, 1.78, 0.651.
please please please please please PLEASE please please please please please please please please please please help me.
Answer:
0.651, 0.67, 1.79, 3.2, and 9
Step-by-step explanation:
Answer:
0.651. ,0.67 ,1.78 ,3.2 ,9
Step-by-step explanation:
well if your confused on 0.651 and 0.67 i personally may go for the first two unless if the questions longer
HELP ASAP!!! A spinner has three sections colored green, purple, and pink. If the spinner is spun twice, how many branches would the tree diagram that represents this situation have? 6 5 9 12
Answer:
The answer is 9.
Answer:
The answer is 9
Step-by-step explanation:
I got it right on the quiz
The length of a rectangle is 3 times the width. The area of this rectangle is 243 feet squared.
What are the dimensions?
Width =____feet (this is the short side)
Length=____feet (this is the long side that is 3 times the width)
Step-by-step explanation:
width = x
length= 3x
Area = length * width
243=3x * x
3÷243 =3x^2÷3
√81=√x^2
x=9
3x=3*9=27
Width=9
Length=27
PLEASE HELP! IM LIKE STUCK AND I NEED HELP! YOU'LL GET 50 POINTS !!!!
Answer:
5m + 9n + 46
Step-by-step explanation:
5m +10 +9n +36
(i did that by distributing from parenthesis)
5m + 9n + 46
(i just simplified by adding 10 and 36)
Find the areas of the trapezoids
Answer:
figure 1 - 10.5 unit^2
figure 2 - 12 unit^2
Step-by-step explanation:
figure 1
1. find the area of the rectangle
3*2 = 6 unit^2
2. find the area of the triangle
(3*3)/2 = 4.5 unit^2
3. add the area of the rectangle and the area of the triangle together. The sum would be the area of the trapezoid.
6 + 4.5 = 10.5 unit^2
figure 2
1. find the area of the rectangle
2*4 = 8 unit^2
2. find the area of both triangles
(1*4)/2 = 2 unit^2
3. add the area of the rectangle and the area of both triangles together. The sum would be the area of the trapezoid.
8 + 2 + 2 = 12 unit^2
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
36?
Step-by-step explanation:
split in two, triangle 6x6=36/2=18, rectangle 6x3=18, whole 18+18=36 your answer is 36
Answer:
it's 36 square feet
Step-by-step explanation:
Help Plis ...............
Answer:
it is positive 3/4
Step-by-step explanation:
it is the opposite of -3/4
Answer:
it would be a positive 3/4
4. The measures of segment BS and segment PS are both 4.5 feet and m_PBS = 56°.
a. Find the measure of BSP. Item 2 says that “Angle QPS is supplementary to PSR."
b. Is BPS a unique triangle, or can more than one triangle be formed using the given segment
lengths and angle measures? Explain.
3. Solve y = 2(x - 3) when:
a. X = 4
b. y = 8
Answer:
Hello!
Ok so first you plug in y as 8 and x as 4. You first do the math in the parentheses so 4-3 is 1, then 1 times 2 is 2. It should be like this 8=2. Then you do 8 divided by 2 which is 4.
Step-by-step explanation:
A thermos held 2,500 milliliters of water. How many liters of water did it hold? A 250.0 liters B 25.0 liters C 0.25 liters D 2.5 liters
Answer:
2.5 liters
Step-by-step explanation:
If you draw a triangle with angles that measure 95 degrees and 40 degrees, what will be the measure of the third angle?
Answer: 45°
Step-by-step explanation: All the angles of a triangle have to equal 180.
95 + 40 + x = 180
135 + x = 180
180-135 = 45.
y=(x/8+w) solve for w
Two hundred sixty students were surveyed on whether they prefer apple juice or orange juice. A table of relative frequencies is shown. How many more girls prefer apple juice than boys?
Answer:
91
Step-by-step explanation:
The mean grade in Mathematics of Grade 11 students from school A is 83 with standard deviation of 4, while the mean grade in Mathematics of Grade 11 students from school B is 87 with standard deviation of 5. Using 49 samples from school A and 64 from school B, what is the probability that the mean grade of students from school B exceeds the mean grade of students from school A by at least 3 but less than 5?
Using the context surrounding the word trough in line 9 of "Concrete Mixers," explain what a trough looks like and what it does on a concrete mixer. .
sorry I can't delete it this not answer your question