Using the t-distribution, as we have the standard deviation for the samples, it is found that the data does not provide statistical evidence that there is a difference.
What are the hypotheses tested?At the null hypotheses, it is tested if there is no difference in the means, that is, the subtraction is of 0, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypotheses, it is tested if there is a difference, hence:
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
What are the mean and the standard error of the distribution of differences?For each sample, they are given by:
[tex]\mu_1 = 1.82, s_1 = \frac{1.51}{\sqrt{100}} = 0.151[/tex]
[tex]\mu_2 = 1.65, s_2 = \frac{1.39}{\sqrt{100}} = 0.139[/tex]
Hence, for the distribution of differences, they are given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 1.82 - 1.65 = 0.17[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.151^2 + 0.139^2} = 0.205[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Then:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{0.17 - 0}{0.205}[/tex]
[tex]t = 0.83[/tex]
What is the decision?Considering that it is a two-tailed test, as we are testing if the mean is different of a value, with 100 + 100 - 2 = 198 df and a significance level of 0.02, the critical value is of [tex]|t^{\ast}| = 2.3453[/tex].
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which means that the data does not provide statistical evidence that there is a difference.
More can be learned about the t-distribution at https://brainly.com/question/13873630
Donna bought 5 bags of dog treats for 12.55. What is the cost per bag
Answer:
$2.51
Step-by-step explanation:
12.55/5= 2.51
a bag of dog treats is 2.51 per bag
32+4 X (16 X ) -2 show your work
Answer:
32+4x(16x)-12=
32+64x-12=
64x-12+32=64x+20
64×÷64÷=20÷64=
x=0.3125
Hello people ~
factorise↷
x^2 + 4x –21
Let's see
[tex]\\ \rm\rightarrowtail x^2+4x-21[/tex]
[tex]\\ \rm\rightarrowtail x^2+7x-3x-21[/tex]
[tex]\\ \rm\rightarrowtail x(x+7)-3(x+7)[/tex]
[tex]\\ \rm\rightarrowtail (x-3)(x+7)[/tex]
Please help I'm extremely confused.
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included )
Answer:
8.4 is the correct answer on acellus
IDENTIFY THE PROPERTY WHICH JUSTIFIES THE FOLLOWING CONCLUSION
A. REFLECTIVE PROPERTY
B. ADDITION PROPERTY OF EQUALITY
C. SYMMETRIC PROPERTY
D. MULTIPLICATION PROPERTY OF EQUALITY
1. If ×=4, then × + 2=7
....__.....__
2.AB = AB
3. If × = y, Then 2× = 2y
4. If 9 = 6+3, then 6+3 =9
Please answer correctly do not concentrate wrong and rely only on the pontos:)
Answer:
Step-by-step explanation:
17) B. They are adding 2 to both sides.
18) A. A segment is equal to itself.
19) D. They are multiplying both sides by 2.
20) C. They are simply swapping the left and right hand sides of the equation
A salesperson earned x dollars last year. The salesperson earned 25% more money this year than last
year. Which expressions represent the amount, in dollars, the salesperson earned this year?
Drag and drop each correct expression into the box.
HELP PLS
More earnings:-
25% of x0.25xTotal earnings this year
x+0.25x(1+0.25)x$1.25xAnswer:
[tex]\$ \huge{\text{(} \dfrac{x}{4} \ + \ \dfrac{4x}{4} \huge{\text{)}[/tex]
Step-by-step explanation:
Given:
Last year: $x
Determining the money earned for this year:
This year = 25% more than last year
= $25x/100 + $x
= $x/4 + $4x/4
The expression that represents the money earned this year is $x/4 + $4x/4.
A bike rental company charges its customers p dollars per day to rent a bike, where 5≤p≤30. the number of bikes rented per day can be modeled by the linear function n(p)=300−10p. how much should the company charge each customer per day to maximize revenue? do not include units or a dollar sign in your answer.
Using the vertex of a quadratic equation, it is found that the company should charge each customer $15 per day to maximize revenue.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the number of bikes rented per day is given by:
n(p) = 300 - 10p.
Hence, the revenue function is given by:
R(n) = p x n(p)
R(n) = 300p - 10p².
Which is a quadratic function with coefficients a = -10, b = 300. Hence, the price in dollars that will maximize the revenue is given by:
[tex]x_v = -\frac{300}{-20} = 15[/tex]
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
can someone please help me
PLEASE ANSWER QUICKLY!!! Find the area of the following shape
Answer:
30 cm²
Step-by-step explanation:
You want to know the area of the given shape.
ParallelogramThe formula for the area of a parallelogram is ...
A = bh
A line from B to E divides the figure into two congruent parallelograms, each having a base of 5 cm and a height of 3 cm.
The area of the figure is ...
A = 2 × (5 cm)(3 cm) = 30 cm²
__
Additional comment
If you draw a line from F to D you get a triangle FED that perfectly matches the space ABC. Moving ∆FED to fill ∆ABC transforms the figure into a rectangle that is 5 cm high and 6 cm wide. Its area is (5 cm)(6 cm) = 30 cm².
<95141404393>
what is your favirote subject
Answer:
My favorite subject is Science
Step-by-step explanation:
Because it’s really interesting and the concepts about everything that could and will happen is fascinating
if 192 students are in 4 buses how many students are in each bus?
Answer:
48
Step-by-step explanation:
192/4=48
Hope this helps!!!
Answer:
48 students
Step-by-step explanation:
Given that:
192 student are in 4 buses
To Find:
How many students are in each bus
Solution:
To find how many students are in each bus we have to divide. 192 by 4.
192 ÷ 4 which given us 48.
Therefore, there are 48 students in each bus.
~lenvy~
Two angles in a triangle add up to 152 degrees.
what is the size of the third angle?
Answer:
28 degrees
Step-by-step explanation:
A triangle is 180 degrees. 180-152=28.
Answer:
The third angle is 28 degrees
Step-by-step explanation:
A triangle has to add up to 180 degrees so just take 180 subtract your 152 from it and you'll have your answer!. (180 - 152 = 28) Hope this helps! :)
9 markers cost $7. 50. How much would 7 markers cost
Answer:
5.83
Step-by-step explanation:
9 / 7.50 = 0.833(repeating)
8.33(repeating) * 7 = 5.833(repeating)
Simplify 5.833(repeating)
Answer:
5.83
Step-by-step explanation:
If it is now two o'clock, how many hours later will be the first hour between the arrows of the clock is 90 degrees
Answer: 4 o clock
Step-by-step explanation:
Answer:
5 o' clock
Step-by-step explanation:
The angle between the hands of a clock on an hourly basis is 30°
thus for the hands to be 90° apart would be 3 hours
then 2 o' clock + 3 hours = 5 o' clock
WHOEVER RESPONDS FIRST WILL GET MARKED BEST.
A circle has a diameter of 14.5 inches. Using 3.14 for 1, what is the circumference of the circles, rounded to the nearest hundredth of an inch?
22.77 inches
45.53 inches
91.06 inches 165.05 inches
[tex]c = 2 \pi \: r[/tex]
[tex]c = 2 \times 3.14 \times 14.5[/tex]
[tex]c = 91.06[/tex]
Answer:
2nd option - 45.53 inches
Step-by-step explanation:
Circumference of a circle when given the diameter is given by the formula :
[tex]\pi d[/tex]
Since we are given a certain value for pi we use that and multiply it by the diameter to given the cirumference:
3.14 × 14.5 in =
45.53 inches
Therefore our answer is 43.53 inches (the 2nd option)
Martin drew a scale drawing of an arcade. The scale he used was 1 inch : 3 feet. If the actual length of an air hockey table is 9 feet, how long is the air hockey table in the drawing?
Answer: 3 inches
Step-by-step explanation: 9 divided by 3 is 3
What is the pattern;
1=4
2=4
3=64
4= ?
Answer:
64
Step-by-step explanation:
because the next number is equal to the same
Answer:
256
Step-by-step explanation:
Look closely at the stated list in the question:
1=4
2=16
3=64
Notice that the second number is reached by taking the first number and placing it as an exponent to 4.
4^1=4
4^2=16
4^3=64
So the missing number must be 4^4 which is equal to 256
The photo is shown below, please help!
Answer/Explanation:
The formula for a rectangular prism is Length x Width x Height
With this information we can multiply 6x8x2 and get 96 ft³.
This is the volume of the original prism.
Doubling the dimensions means multiplying each side by 2.
The new dimensions would be a.16 b.4 c.12
Use the formula to find volume. 12x16x4=768
The volume of the enlarged prism is 768 feet³
For bonus question, divide 768 by 96.
The scale factor is 8.
The area of a square is (9a2 − 24a + 16) square units. determine the length of each side of the square by factoring the area expression completely. show your work.
thankyou for all the help
Answer:
1. x + y = 180
2. x = 50 y= 130
Step-by-step explanation:
They're parallel.
We can label the unamed angle z.
So z = y
and 50 = x
There's 360 degrees in a circle, so x + y= 180 because it's half 360 and half a circle.
x=50
so 50 + 50 = 100.
360 - 100 = 260
so 260 ÷ 2 = 130
y = 130 because y and z are equal so they're the same number
Step-by-step explanation:
1. x+y=180
hope that helps
What is the angle of rotation for point G mapped to point H?
90° clockwise
72° clockwise
72° counterclockwise
90° counterclockwise
The rotation of point G to point H is an illustration of a circular movement
The rotation that maps point G to point H is 72 degrees clockwise
How to determine the rotation rule?From the figure, we have the following parameters:
Number of sections (n) = 5
Angle at the center = 360
The angle of rotation is then calculated as:
Rotation = 360/5
Evaluate
Rotation = 72
Point H is to the left of point G.
This represents a clockwise direction
Hence, the rotation that maps point G to point H is 72 degrees clockwise
Read more about rotation at:
https://brainly.com/question/4289712
Answer:
72° clockwise
Step-by-step explanation:
Which choice shows (9 x 3) x 20 correctly rewritten using the associative property and then correctly simplified?
Answer:
I'm guessing it is 3x(9x20)=3x180=540
Step-by-step explanation:
Find the value of each variable. 22, 30, x.
x=
y=
(Simplify your answers. Type exact answers, using radicals as needed.
please hurry for fifty points!
Answer:
11 and 11 root 3
This is because it is a 30 60 90 triangle, making it x, x root 3, and 2x.
Answer:
x = 11, y = 19.05
Step-by-step explanation:
sin 30 = x/22
22*sin 30 = x
22*0.5 = x
11 = x
tan 30 = 11/y
0.577350269 = 11/y
y = 11/0.577350269
y = 19.0525589
y= 19.05
Hope this helps :)
PLS HELP ASAP PLSSS PLSSS FIRST CORRECT ANSWER GETS BRAINLIEST PLS ANSWER
Answer:
sqrt(37) = arpox 6.1
Step-by-step explanation:
sqrt(1^2+6^2) = sqrt(37)
this is due tomorrow at 8 pls help
Answer:
a = 4 b = 2 c = 6
Step-by-step explanation:
4 + b = c
b & c are any even numbers between 2 and 9 (2, 4, 6, 8)
c > 4 ( 6, 8)
b < 6 (2, 4)
b can't be the same number, so b is 4 meaning c is 6
Answer:
b=2, c=6
Step-by-step explanation:
(PLS Need Help ASAP) Don't answer if you don't know pls.
Answer:
y = - x + - 2
Step-by-step explanation:
Using the equation y = mx + b, find the m (slope) from the graph and the b (y-intercept from the graph). The slope, m, is the rise over the run from point A to point B. The rise is -5 and the run is 5. [tex]\frac{-5}{5}[/tex] = -1. The y-intercept, b, is the point the graph passes through the y-axis. The b is -2 so y = -x+-2.
What is X?
(x+22) 2x
(Need help)
Answer:
nasa pic yung sagot
hope its help
What time would it be if the minute hand rotated by 180 degrees from the current time?
2:30
4:00
3:30
2:15
Answer:
3:30 is the answer
Which expression is a factored form of 2x2
25x + 63?
The expression of the factored form of 2x2+25x + 63 is mathematically given as
(x+7)(2x+7)
What is the expression of the factored form of 2x2+25x + 63?Question Parameter(s):
Expression 2x^2+25x + 63?
The expression of the factored form will bear the roots of the expression repressented in standard form
Generally, the equation for the expression is mathematically given as
2x^2+25x + 63?
Therefore
2x^2+25x + 63?
x(2x+7)+9(2x+7)
(x+7)(2x+7)
In conclusion, The expression is
(x+7)(2x+7)
Read more about Arithmetic
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Question 4(Multiple Choice Worth 1 points)
(03.01 MC)
Simplify 972-317 + V8 - 28
011/2-5/7
0 1184 – 5/14
065
be
C 6/9
Question 5 Multiple Choice Worth 1 points)
(03.01 LC
Answer:
The choice A.
Step-by-step explanation:
[tex]9 \sqrt{2} - 3 \sqrt{7} + \sqrt{8} - \sqrt{28} \\ \\ 9 \sqrt{2} - 3 \sqrt{7} + ( \sqrt{2} \sqrt{4} ) - ( \sqrt{4} \sqrt{7} ) \\ 9 \sqrt{2} - 3 \sqrt{7} + (2 \sqrt{2} ) - (2 \sqrt{7} ) \\ 9 \sqrt{2} - 3 \sqrt{7} + 2 \sqrt{2} - 2 \sqrt{7} \\ (9 \sqrt{2} + 2 \sqrt{2} ) + ( - 3 \sqrt{7} - 2 \sqrt{7} ) \\ 11 \sqrt{2} - 5 \sqrt{7} [/tex]
The simplified value of in radical form is 11√2 - 5√7.
What is Radical?In mathematics, a radical is the inverse of an exponent, which is represented by the symbol '√' , also known as root. It can be a square root or a cube root, and the number preceding the symbol or radical is known as an index number or degree. This is a whole integer with an exponent that cancels out the radical.
We have 9√2 - 3√7 + √8 - √28
First, solve the radical as possible
√8= 2√2
and, √28= 2√7
So, 9√2 - 3√7 + √8 - √28
= 9√2 - 3√7 + 2√2- 2√7
= 9√2 + 2√2- 3√7- 2√7
= 11√2 - 5√7
Learn more about Radical here:
https://brainly.com/question/1369233
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