Answer:
[tex]z=\frac{(3.2-3.4)-0}{\sqrt{\frac{0.141^2}{60}+\frac{0.224^2}{60}}}}=-5.85[/tex]
The p value can be calculated with this probability:
[tex]p_v =2*P(z<-5.85)=4.91x10^{-9}[/tex]
The p value for this case is a value very low and near to 0 so then we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different
Step-by-step explanation:
Information provided
[tex]\bar X_{1}=3.2[/tex] represent the mean for sample A
[tex]\bar X_{2}=3.4[/tex] represent the mean for sample B
[tex]\sigma_{1}=\sqrt{0.02}= 0.141[/tex] represent the sample standard deviation for A
[tex]s_{2}=\sqrt{0.05}= 0.224[/tex] represent the sample standard deviation for B
[tex]n_{1}=60[/tex] sample size for the group A
[tex]n_{2}=60[/tex] sample size for the group B
[tex]\alpha=0.05[/tex] Significance level provided
z would represent the statistic
Hypothesis to test
We want to verify if that there is a difference in the interest rates paid by the two states, the system of hypothesis would be:
Null hypothesis:[tex]\mu_{1}-\mu_{2}=0[/tex]
Alternative hypothesis:[tex]\mu_{1} - \mu_{2}\neq 0[/tex]
The statistic for this case since we know the population deviations is given by:
[tex]z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{(3.2-3.4)-0}{\sqrt{\frac{0.141^2}{60}+\frac{0.224^2}{60}}}}=-5.85[/tex]
The p value can be calculated with this probability:
[tex]p_v =2*P(z<-5.85)=4.91x10^{-9}[/tex]
The p value for this case is a value very low and near to 0 so then we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different
Which of the following are valid names for the triangle below? Check all that apply.
Answer:
the answer i think is DMR
Step-by-step explanation:
because u use the letters from the corners
-9x+7y=28 find the y intercept
In slope-intercept form, we have these values (y = mx + b):
m = slope
b = y-intercept
Change the equation from standard form to slope-intercept form.
-9x + 7y = 28
-9x + 9x + 7y = 28 + 9x
7y = 28 + 9x
7y/7 = 28/7 + 9x/7
y = 4 + 9/7x
y = 9/7x + 4
Therefore, the y-intercept is 4.
Best of Luck!
When a principal amount, P, is invested at an annual interest rate, r, and compounded n times per
year, the amount accumulated in the account after t years can be found with the equation:
A = P(1 + r/n) ^nt
Javier invested $2,350 in a savings account for 5 years with a rate of 1.75% compounded every six
months. In this situation, what is n?
0.0175
5 6 2
Answer:
n =2
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
In this question:
The money is compounded every 6 months.
n is the number of times that interest is compounded per year.
Each 6 months means 12/6 = twice a year. So n =2..
Eager to finish studying, Maya mastered all 12 of her spelling words in 4/5 of an hour. At what rate did she master them
Step-by-step explanation:
4/5 of an hour = 48 min
Total words = 12
Rate = 48 ÷ 12 = 4
She mastered 1 word in 4 min
Answer:it’s 15
Step-by-step explanation:
In a clothing store, 55% of the customers buy a shirt, 25% of the customers
buy a pair of pants, and 20% of the customers buy both a shirt and a pair of
pants.
If a customer is chosen at random, what is the probability that he or she buys
a shirt or a pair of pants?
A. 0.225
B. 0.60
C. 0.30
D. 0.80
Answer:
s= the customer buy a shirt
p= the customer buy pants
[tex] p(s) = 0.55, p(p) = 0.25 , p(s \cap p) =0.20[/tex]
And we want to find this probability:
[tex] p(s \cup p) [/tex]
And we can use the definition of total probability and we have:
[tex] p(s \cup p) = p(s) +p(p) -p(s \cap p)[/tex]
And replacing we got:
[tex] p(s \cup p) = 0.55+0.25 -0.20 = 0.60[/tex]
And the best answer for this case is:
B. 0.60
Step-by-step explanation:
For this case we can define the following events:
s= the customer buy a shirt
p= the customer buy pants
And we have the following probabilities given:
[tex] p(s) = 0.55, p(p) = 0.25 , p(s \cap p) =0.20[/tex]
And we want to find this probability:
[tex] p(s \cup p) [/tex]
And we can use the definition of total probability and we have:
[tex] p(s \cup p) = p(s) +p(p) -p(s \cap p)[/tex]
And replacing we got:
[tex] p(s \cup p) = 0.55+0.25 -0.20 = 0.60[/tex]
And the best answer for this case is:
B. 0.60
If nothing is known about p, 0.5 can be substituted for p in the sample-size formula for a population proportion. But when this is done, the resulting sample size may be larger than needed.
A) Under what circumstances will using p = 0.5 in the sample-size formula yield a sample size larger than needed to construct a confidence interval for p with a specified bound and a specified confidence level?
Choose the correct choice below.
O Whenever p is different from 0.5
O Only when p equals 0.5
O Only when p equals 1
O Only when p equals 0
Answer:
the second one
Step-by-step explanation:
formulate the quadratic function that contains the points (-2,1),(0,1)and (1,4)
Answer:
y = x^2 +2x +1
Step-by-step explanation:
Let's see how this works.
Two of the given points have the same y-value, so the axis of symmetry is located halfway between. If we translate the desired curve down 1 unit, those symmetrical values become zeros, and our function will look like ...
f(x) = ax(x +2)
We want this to go through the third point, also translated down by 1 unit, so we have ...
3 = a(1)(1+2) = 3a
That is, a=1, so f(x) = x(x+2) and translating that up 1 unit gives our desired function:
y = x(x+2) +1
y = x^2 +2x +1
_____
Using the quadratic regression function of a graphing calculator gives the same result.
_____
Comment on the solution approach
For arbitrary points, one would generally substitute them into the formula for the function you want:
y = ax^2 +bx +c
to get three equations in the parameters a, b, and c. These equations would be solved to find the desired coefficients. As noted elsewhere, one of the given points for this problem is the y-intercept (0, 1), so right away we know c = 1. ("c" is the y-intercept.)
That leaves two remaining equations in two unknowns (using the other two points).
Using the point (-2, 1), the equation is ...
1 = a(-2)^2 +b(-2) +1 ⇒ 4a - 2b = 0 ⇒ 2a -b = 0
Using the point (1, 4), the equation is ...
4 = a(1^2) +b(1) +1 ⇒ a +b = 3
Adding these gives 3a = 3, or a=1. Then substitution gives b=2, so the final equation is ...
y = x^2 +2x +1
Please answer number six I will give brainliest thank you!
Answer:
The new median would be 15.
Step-by-step explanation:
This is because the median means the middle number so we can cross out 2 and 25. Then cross out 6 and 23. Then cross out 7 and 21. Next, cross out 14 and 20. Since there is only one number left, 15, that number is therefore the median.
Answer:
List the numbers in order including 25
2,6,7,14,15,20,21,23,25
choose the number in the middle
15 has 4 numbers to the left and right so it is in the middle so it is the median
hope this helps
Step-by-step explanation:
What is the third step when calculating the Mean Absolute Deviation (MAD)
Answer:
Step 3: Add those deviations together.
Step-by-step explanation:
What does the statement |a|=5 mean?
A. a is equal to 5.
B. a is equal to −5.
C. a is 5 units from 0.
D. You cannot tell without knowing the value of a.
Answer:
The answer would be A
Step-by-step explanation:
|a| is absolute value so it means it equals 5
A sphere has a diameter of 14 ft. Which equation finds the volume of the sphere?
V
v-9
• V-$(14)
v-9 (14)
Answer:
v-9 (14)
Step-by-step explanation:
PLEASE ANSWER ASAP! I WILL GIVE BRAINLIEST ANSWER !!!
Rewrite the expression in the form 10^n
(10^1)^3
Answer: 10^3
Step-by-step explanation:
Since the problem is displayed at [tex](10^1)^3[/tex], you see that there is a parenthesis separating the [tex]10^1[/tex] and the 3. In long story short, if you see a parenthesis, if means to multiply.
[tex]10^1^*^3=10^3[/tex]
help me plssssss :(:
Answer:
C = 2*π*r
Step-by-step explanation:
When given the radius, we can multiply it by both pi and 2 to find the circumference of a circle.
Answer:
C=2πr
Step-by-step explanation:
C=2πr
What is the first step in evaluating this expression?
15 + 20 ÷ (10 – 7) + 12
Answer:
33.67
Step-by-step explanation:
BODMAS (Bracket of Division Multiplication Addition Subtraction)
bracket then divide and so on
Answer:
33.67
Step-by-step explanation:
hope this helps have a wonderful day
What expression is equivalent to 2(t-4)+1
Answer:2t-7
i just kinda solved it hehe
The (2t - 7) is the expression that is equivalent to (2(t-4)+1) and this can be determined by using the arithmetic operations.
Given :
Expression - 2(t - 4) + 1
The following steps can be used to evaluate the given expression:
Step 1 - Open the parenthesis in the given expression. Then multiply 2 by t and then multiply 2 by -4.
= 2t - 8 + 1
Step 2 - Now, subtract 8 from 1 in the above expression.
= 2t - 7
So, the (2t - 7) is the expression that is equivalent to (2(t-4)+1).
For more information, refer to the link given below:
https://brainly.com/question/2353072
A tile is chosen at random from a bag containing the following tiles: 7 blue, 3 green, 6 yellow, and 4 purple. Let P be the probability distribution defined on the set {blue, green, yellow, purple}. Write each probability
Answer:
P of b=7/20
P of g=3/20
P of y=6/20=3/10
P of p=4/20=1/5.
Step-by-step explanation:
there are in total 20 tiles so S=20
there are 7 blue tiles so P=E/S=7/20
there are 3 green tiles so P=E/S=3/20
there are 6 yellow tiles so P=E/S=6/20=3/10.
there are 4 purple tiles so P=E/S=4/20=1/5
Which is linear?
A) y=4-5x
B) y=-4x squared
C) y=-2x cubed
D) y=4-5x squared
Answer:
A
Step-by-step explanation
Miguel brings 3 pies to a bake sale. He sells 1 3/8 in the first hour of the bake sale and 1 2/8 pies in the second hour of the bake sale. What fraction describes the total number of pies Miguel sells in the first two hours of the bake sale?
Answer:
2 5/8
Step-by-step explanation:
What is the area of the shape below
Answer:
The area of the shape is [tex]A=886 \:cm^2[/tex].
Step-by-step explanation:
The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.
First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
The area of the first rectangle is [tex]A=34\cdot 16=544\:cm^2[/tex]
The area of the second rectangle is [tex]A=11\cdot19=209\: cm^2[/tex]
The area of a triangle is given by the formula [tex]A=\frac{1}{2} bh[/tex] where b is the base and h is the height of the triangle.
The area of the triangle is [tex]A=\frac{1}{2} \cdot 14\cdot19=133\:cm^2[/tex]
Finally, add the areas of the simpler figures together to find the total area of the composite figure.
[tex]A_{composite\:shape}=544+209+133=886 \:cm^2[/tex]
how does the spread of waldens data set compare with the spread of drakes data set
Answer:
Walden’s data ranges from 2 to 4, and Drake’s data set ranges from 3 to 9. Drake’s data set has a greater spread than Walden’s data set.
Step-by-step explanation:
There are 16 students who choose up sides to play soccer. How many different teams of 8 can be formed?
Select the best answer from the choices provided.
ОА
12870
B.
120
40320
D, 720
A cone has a diameter of 6ft and a slant height of 19ft.
Answer:
19π
Step-by-step explanation:
Volume of the cone is πr^2 * h/3
r = 3
h = 19
3π * 19/3 = 19π
4 (5 points)
3
Solve 3t - 6 = t - 2
a) -4
6
b) 2
9
O c) 1
12
d) -2.
t = 2
so the answer is b?
it shows many numbers.
2t = 4 [simplify]
divide both sides by 2
2t/2 = 4/2
so t = 2, but i see that theres a 9 on b? is that an accident?
least to greatest 5, -2, -1, 2
Answer:
-2 , -1, 2, 5
Step-by-step explanation:
Answer:
-2,-1,2,5
Step-by-step explanation:
find the value of x
a) 1
b) 31
c) 24
d) 14
So the right answer is 14.
Look at the attached picture
Hope it will help you
Good luck on your assignment
There are three apple orchards. Each orchard has a different number of trees and apples.
Answer:
A. The #1 Seed
Step-by-step explanation
To find the answer you find the rate of one apple tree to # of apples. you do this by dividing the # of apples from the orchard by the apple trees and whichever has the highest rate of Apples to Trees is the answer which would be The #1 Seed.
Help out before 8pm
-geometry
Answer:
(0, -1)
Step-by-step explanation:
((4 + (-4))/2, (2 + (-4))/2) =
(0/2, -2/2) =
(0, -1)
The expression above can also be written in the form a=, b=,c=. 3 6/5
Answer:
a = 3, b = 6, c = 5
Step-by-step explanation:
[tex] {3}^{ \frac{6}{5} } = \sqrt[5]{ {3}^{6} } \\ equating \: it \: with \\ \sqrt[c]{ {a}^{b} } \: we \: find : \\ a = 3 \: \: b = 6 \: \: c = 5 \\ [/tex]
please help me im stuck
Answer:
A. by adding an identical classroom and allowing students t use electric ans in it
Step-by-step explanation:
Because Fans are opposite to natural Air
Patel made a deposit into an account that earns 5%simple interest. After 10 years Patel had earned $1500 in interest. How much was Patel’s initial deposit?
Answer:
Patel’s initial deposit was $3000
Step-by-step explanation:
Given:
Simple interest (S.I.) = 5%
Time period (t) = 10 years
Interest earned (r) = $1500
To find: Patel’s initial deposit
Solution:
Simple interest is a method of calculating the interest charged on the principal, or original amount of a loan.
Let p denotes original amount of a loan
[tex]S.I.=\frac{p\times r\times t}{100}\\\Rightarrow 1500=\frac{p\times 5\times 10}{100}\\\Rightarrow p=\frac{1500\times 100}{5\times 10}\\=3000[/tex]
So, Patel’s initial deposit was $3000