Answer:
$1
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 10 × 0.05 × 2 = 1
I = $ 1.00
The simple interest accumulated
on a principal of $ 10.00
at a rate of 5% per year
for 2 years is $ 1.00.
In a multiple regression analysis, two independent variables are considered, and the sample size is 30. The regression coefficients and the standard errors are as follows. b1 = 2.815 Sb1 = 0.75 b2 = −1.249 Sb2 = 0.41 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) H0: β1 = 0 H0: β2 = 0 H1: β1 ≠ 0 H1: β2 ≠ 0 H0 is rejected if t < −2.074 or t > 2.074
Answer:
There is a sufficient evidence that the coefficient b1 is not zero
There is a sufficient evidence that the coefficient b2 is not zero
Step-by-step explanation:
Given
[tex]n = 30[/tex]
[tex]b_1 = 2.815[/tex]
[tex]Sb_1 = 0.75[/tex]
[tex]b_2 = -1.249[/tex]
[tex]Sb_2 = 0.41[/tex]
[tex]\alpha = 0.05[/tex]
Claim: Coefficient is zero
The null and alternate hypotheses are:
[tex]H_0: \beta_1 =0\\\\H_1: \beta_1 \ne 0[/tex]
The test is two tailed because the alternate hypothesis contains [tex]\ne[/tex]
Calculate the rejection region
[tex]P(t < -t_0) = P(t > t_0) = \frac{\alpha}{2}[/tex]
[tex]P(t < -t_0) = P(t > t_0) = \frac{0.05}{2}[/tex]
[tex]P(t < -t_0) = P(t > t_0) = 0.025[/tex]
Calculate the degrees of freedom
[tex]df = n -2[/tex]
[tex]df = 30 -2[/tex]
[tex]df = 28[/tex]
On the student's T distribution table, the t value at 28 and column with [tex]\alpha = 0.05[/tex] (two tailed) is:
[tex]t\ value = 2.048[/tex]
The rejection value will contain all value lesser than -2.048 and all values greater than 2.048.
So: We reject [tex]H_0[/tex] when [tex]t < -2.048[/tex] and [tex]t >2.048[/tex]
Testing the first independent variable
Calculate test statistic
[tex]t = \frac{b_1 - 0}{Sb_1}[/tex]
[tex]t = \frac{2.815 - 0}{0.75}[/tex]
[tex]t = \frac{2.815 }{0.75}[/tex]
[tex]t = 3.753[/tex]
[tex]t = 3.753 > 2.048[/tex]
This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]
There is a sufficient evidence that the coefficient b2 is not zero
Testing the second independent variable
Calculate test statistic
[tex]t = \frac{b_2 - 0}{Sb_2}[/tex]
[tex]t = \frac{-1.249 - 0}{0.41}[/tex]
[tex]t = \frac{-1.249 }{0.41}[/tex]
[tex]t = -3.0463[/tex]
[tex]t = -3.0463 < -2.048[/tex]
This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]
There is a sufficient evidence that the coefficient b2 is not zero
Solve the system of equations by elimination
3x + 5y = 16
2x - y = 2
Answer:
the answer is 2
Step-by-step explanation:
hi, if your looking for extra points (50+) and brainiest here is ur chance, answer this question correctly plz
Answer:
The y-intercept is -4.
Explanation:
The y-intercept is between -2 and -4 so its actually on -3
Answer:
The y-intercept is -4. This one is false.
Step-by-step explanation:
The slope is positive.
The point (8, 2) is on the line.
The y-intercept is NOT -4. The y-intercept is -3.
The line does not go through the second quadrant.
state whether the number is a solution to the given inequality
7/12 > 9/16
Answer:where the numbers ? like a.3,b.5 somethin like that
Step-by-step explanation:
but its True
7/12>9/167
0.583333>0.053892
true
You have three vegetable pizzas of the same size One has 4 equal slices. The second has 8 equal slices. The third has 6 equal slices. You cut the pizzas until all of them have the same number of slices. How many slices does each pizza have?
Answer:
24
Step-by-step explanation:
in a major study by the statistics classes at Washington High School, city parking spaces were examined for compliance with the requirement to put money in the parking meters. Overall, the students found that 76% of metered parking places had meters that had NOT expired, and 24% had meters that were expired. If the traffic officer in charge of ticketing cars with expired meters checks meters at random, what is the probability he will find an expired meter BEFORE the 3rd one
Answer:
0.4224 = 42.24% probability he will find an expired meter BEFORE the 3rd one
Step-by-step explanation:
For each car, there is a 24% probability that it had expired parking meters.
What is the probability he will find an expired meter BEFORE the 3rd one?
Three possible outcomes:
Two expired(each with 24% probability)
First expired(24% probability) and second not(76% probability)
First not(76% probability) and second expired(24% probability). So
[tex]p = 0.24^2 + 2*0.24*0.76 = 0.4224[/tex]
0.4224 = 42.24% probability he will find an expired meter BEFORE the 3rd one
does ''-3.5 · 12" equal ''-42 "?
Answer:
i think they equal
Step-by-step explanation:
3.663 to the nearest tenth of a ounce
Answer:
3.7 ounces
Step-by-step explanation:
You just need to round to nearest 10th place, which is just next number after decimal. Hope it helps ;)
Identify the slope. Remember slope is a ratio.
y ={2}{3}x + 8
9514 1404 393
Answer:
2/3
Step-by-step explanation:
Assuming your equation is supposed to be ...
[tex]y=\dfrac{2}{3}x+8[/tex]
the slope is the coefficient of x.
The slope is 2/3.
Hii, Ok so basically I really need help with these questions they are really difficult and don't worry there are plenty rewards. On the last question whoever give the right answer and is the quickest will get brainiest. But do not worry whoever answers this question will get a
1. Thank you *heart*
2. 5 star rating
3. Comment
4. And 10 points
So you may be wondering what the question is well take a look oh and by the way please do not give a random answer and its a maths question
A, B, and C lie on a straight line.
Given that angle y= 118 degrees and angle z =107 degrees work out x.
Step-by-step explanation:
m∠B = 180° - y°
= 180° - 118°
= 62°
x° = 180° - (m∠B + z°)
x° = 180° - (62° + 107°)
x° = 180° - 169°
x° = 11°
i don't know, it was correct or no. Because i thought this question is looking for the valuable of x.
#CMIIWFind two integers whose sum is 16 and product is 64
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
what fraction does not belong?
8/12
6/12
2/3
4/6
Answer:
2/3
Step-by-step explanation:
because if you do 12 divided by 8 =1.15 and all the other one is 1.5 except 2/3
Please answer this question ASAP
Answer:
Budgins.
Step-by-step explanation:
Waitroze is selling the cans of soup for 1.27 more than Budgins. So, therefore, Budgins has a WAY better deal than Waitroze.
what is the rounded number of 305?
Answer:310
Step-by-step explanation:
Jasper used a 30 day same as cash loan to purchase a new $325 TV stand. The
interest rate on the loan is 18%. Jasper made 3 payments of $75 and another
payment for $100.
Grace created the net worth statement shown.
Based on the information in the statement, what is
Grace's net worth?
Net Worth Statement
- $46,600
Assets
Value
House (current value)
$125,000
® - $94,000
Investments
$12,000
Savings account
$3,600
$46,600
Total Assets
$140,600
D$234,600
Liabilities
Credit card debt
$7,500
Mortgage
$86,500
Total Liabilities
$94,000
Answer: 46,600
Step-by-step explanation:
Are the ratios 3:6 and 1:2 equivalent?
Answer:
yes these are equivalent bcz
3/6=1/2
Step-by-step explanation:
PlZ make me brainliest
Answer:
Yes
Step-by-step explanation:
3/6= 0.5
1/2= 0.5
I need help with this one.
9514 1404 393
Answer:
1,563.5 in³904.8 yd³2,144.7 mm³1,288.2 cm³434.9 in³Step-by-step explanation:
The formula for the volume of a sphere is ...
V = (4/3)πr³
When you have several of these calculations to do, it is convenient to let a graphing calculator or spreadsheet do them. A spreadsheet can do the rounding for you, too. The results are attached. The units are the cube of the units of the radius.
Example calculation:
(4) Radius = diameter/2 = 13.5 cm/2 = 6.75 cm
V = (4/3)π(6.75 cm)³ = 4.18879 × 307.547 cm³ = 1288.2 cm³
Note that the constant (4/3)π ≈ 4.18879 remains the same for each calculation. All you need to do is multiply that by the cube of the radius.
Please help me with the last mat problem this very hard for me to undestand please anyone
Answer:
Maybe it looks like this?
Step-by-step explanation:
Solve the systems of equation by elimination.
x + 5y = -7
2x + 7y = -8
What is 75% of 162? Show your work and/or explain your reasoning.
Answer:
121.5
Step-by-step explanation:
75% = 75/100
Step 2 - Mutiply percenatge fraction by the entire (100%) quantity
75/100× 162 = 121.5
Final result
75 percent of 162 is 121.5
Answer:
121.5
Step-by-step explanation:
| percantage x 100% |
75/100 x 162 = 121.5
the measurement is 4 and 6 what is the perimeter.
Answer:
P=16 cm.
Step-by-step explanation: it is 16 inches
Answer:
To find the perimeter, you do 2 x length + 2 x width
So it would be, 2x4 + 2x6 = 20 inches
You didn't measure properly!!!
Personally, I think you meant to write 3 and 5, that would make 16
The mass of a dust particle is approximately 7.5 x 10 –10kilograms and the mass of an electron is 9.1 x 10 –31kilograms. Approximately how many electrons have the same mass as one dust particle?
Answer:
(7.5 x 10-10 kg) / (9.1 x 10-31 kg) ≅ 8.24 x 1020
Step-by-step explanation:
Divide the mass of one dust particle by the mass of one electron, and that will be your answer.
(7.5 x 10-10 kg) / (9.1 x 10-31 kg) ≅ 8.24 x 1020
a number added to one third of itself equals 12 . what is the number
Answer:
9
Step-by-step explanation:
x+1/3x=12
(3x+1x)/3=12
4x/3=12
4x=12×3
4x=36
x=36/4
x=9
Answer:
1/3+x=12(cross multiply)
x+1=12*3
x+1=36(collect like terms)
x=36-1
x=35
What is the value of 8 in 293,581?
Answer:10th place
Step-by-step explanation:
5th grade math. correct answer will be marked brainliest.
Answer:
7 1/3
Step-by-step explanation:
The answer is in the simplest form already.
Rewrite the equation:
2 + 1/2 - 9 - 5/6
2 - 9 = -7 (negative 7)
1/2 minus 5/6 = ?
Find LCD of 1/2 and 5/6 and rewrite to solve.
3/6 is the LCD, so:
3/6 - 5/6 = -2/6
-2/6 = -1/3
So, the answer is:
-7 -1/3 = 7 1/3
Mark brainliest please!
:DDDD
Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)
Answer:
a) 12cm
b) 3cm
c)12cm
brainliest plzz
Answer:
Answer for a)12 b)3 c)12
Step-by-step explanation:
a)12 b)3 c)12
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!
Answer:
bndflvb
Step-by-step explanation:
Find the voulume of a sphere. With a radius of 1/2
Answer:
Volume ≈ 0.5236
Step-by-step explanation:
V=4/3πr3=4/3·π·0.53≈0.5236
Mr Jenkins is tiling a square floor.
He uses 196 square tiles.
Work out how many tiles are in each row.