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
Which number is not a factor of 42?
2 3. 4 7
Answer:
3
by using divisibility test
Answer: Its 3
Step-by-step explanation: This is because 42 can be divided by 2 4 and 7 and still be a whole number but when you divide 3 by 42 you get 10.5
Hope this helps and have a nice day
Help please I don’t understand
Understanding Fractions as Division - Item 30582 A recipe calls for 12 cups of blueberries to make 7 jars of blueberry jam. What is true about the number of cups of blueberries in each jar? 7 Each jar has 12 cup of blueberries. Each jar has 1 of 7 cups of blueberrie Each jar has 12 cups of blueberries. Each jar has 1 cups of blueberries.
Answer:
C. Each jar has 12/7 cups of blueberries.Step-by-step explanation:
12 cups of blueberries ⇒ 7 jars of jam ⇒12 / 7 cups of blueberries ⇒ 7 / 7 jars of jam ⇒12 / 7 cups of blueberries ⇒ 1 jar of jamThe answer options (restored as original):
A. Each jar has 7/12 cup of blueberries. ⇒ incorrectB. Each jar has 1/12 of 7 cups of blueberries. ⇒ incorrectC. Each jar has 12/7 cups of blueberries. ⇒ correctD. Each jar has 1 5/12 cups of blueberries. ⇒ incorrect
write the sum using summation notation -1+2+5+8+...+44
Answer:
[tex]\sum_{i=0}^{15} (3i-1)[/tex]
Step-by-step explanation:
for i=0 you have the first term, 3*0-1 = -1
for i=1 you have the second term, 3*1-1 = 2
...
for i=15 you have the last term, 3*15-1 = 44
A box contains 57 red marbles, 40 white marbles, and 70 blue marbles.
If a marble is randomly selected from the box, what is the probability that it is blue? Express your answer as a simplified fraction or a decimal
rounded to four decimal places.
Pls help this is due today Find the m
Answer:
angle XYZ = 118 degrees
Step-by-step explanation:
all interior angles of ma quadrilateral add up to 360 degrees.
W = 90 degrees
90 + 84 + (2x + 118) + (2x + 68) = 360
simplify:
4x = 0
x = 0
angle XYZ = 118 degrees
1. A bag of 12 oranges costs $2.99. What is the cost per orange?
2. 4 slices of pizza cost $10.50. At this rate, what is the cost of 10 slices of pizza?
3. 4 pieces of candy cost $0.99. At this rate, what is the cost of 7 pieces of candy?
Answer:
1- $ 0.25.
2- $ 26.25.
3- $ 1.73.
Step-by-step explanation:
1- Given that a bag of 12 oranges costs $ 2.99, to determine what is the cost per orange, the following calculation must be performed:
2.99 / 12 = X
0.249 = X
Thus, the cost of each orange is $ 0.25.
2- Given that 4 slices of pizza cost $ 10.50, to determine what is the cost of 10 slices of pizza at this rate, the following calculation must be performed:
10.5 / 4 x 10 = X
2.625 x 10 = X
26.25 = X
Thus, the cost of 10 slices of pizza is $ 26.25.
3- Given that 4 pieces of candy cost $ 0.99, to determine what is the cost of 7 pieces of candy at this rate, the following calculation must be performed:
0.99 / 4 x 7 = X
0.2475 x 7 = X
1.7325 = X
Thus, the cost of 7 pieces of candy is $ 1.73.
The pet store had food priced at $10 and now is priced at $18. What is the percent markup?
Answer:
180%
Step-by-step explanation:
A new bagel store opened. The first day 15 customers entered the store. The number of customers that enter the store triples each day after. Which function represents f(d), the
number of customers that enter on the day
Answer: it triples by 3 so 15,45, 135
Step-by-step explanation: this is by 3 because it goes on by 15,45,135
a small business estimates that the value V(t) of a copy machine is decreasing according to the function
V(t)=4000(4)^0.13t
where t is the number of year's that have elapsed since the machine was purchased and V(t) is in dollars.
Answer:
ZujADADA
Step-by-step explanation: 1+2=3
Simplify the expression by combining like terms:
-3m-8(m+1)
Answer: -11m-8
Step-by-step explanation: first you would distribute (m+1) into -8 causing it to be -3m-8m-8 you then combine like terms getting you -11m-8
Answer:
16m
Step-by-step explanation:
-3m -8 (m+1) any variable has 1.
-8 (-2m)
16m
An antique chair was purchased in the year 2013 for $500. At the time of purchase, an appraiser estimated that the value would increase by 10% per year. According to the appraiser's estimate about the value of the chairwhich statements are true?
Select ALL that apply
A. Alinear model provides the best of the estimated values.
B. The value will increase by 30% in the first 3 years.
C. After 2 yearsthe value will be $605.
D. The rate of change of the value will decrease over time
E.The value will increase by $50 in the first year
Answer:
C and E
.................
The true statements are (C) After [tex]2[/tex] years the value will be $[tex]605[/tex] and (E) The value will increase by $[tex]50[/tex] in the first year.
Compound Interest:Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
In the first year, the value[tex]=[/tex] $[tex]500+500\times \frac{10}{100}[/tex]
[tex]=500\left ( 1+\frac{10}{100} \right ) \\ =\left ( 500\times 1.1 \right )[/tex]
[tex]=[/tex]$[tex]550[/tex]
Change in price=$[tex]50[/tex]
After 2 years, the price is=$[tex]550+[/tex]$[tex]550 \times\frac{10}{100}[/tex]
=$[tex]550\times(1+\frac{10}{100} )[/tex]
=$[tex]550\times(1.1)[/tex]
=$[tex]605[/tex]
After 3 years, the price=$[tex]605+605\times\frac{10}{100}[/tex]
[tex]=605(1+\frac{10}{100} )[/tex]
[tex]=(605\times1.1)[/tex]
[tex]=[/tex]$[tex]665.5[/tex]
Rate of change[tex]=\frac{(665.5-500)}{500} \times100[/tex]%
[tex]=\frac{165.5}{5}[/tex]%
[tex]=33.1[/tex]%
[tex]\neq 30%[/tex]%
According to the problem, an exponential pt model provides the best fit.
Therefore, the true statements are an option C and E.
Learn more about the topic Compound Interest: https://brainly.com/question/26574136
Find the area of this circle. Use 3 for pi
Answer:
area = 108 cm^2
Step-by-step explanation:
area = Pi(r^2)
using Pi = 3
r = D/2 = 12/2 = 6
area = 3(6^2) = 3(36) = 108 cm^2
HELPPP MEEE THE VALUEEEE
what is dangerous about living for seven days on just one can of sardines?
Answer:
because you cant survive without enough food.
Step-by-step explanation:
Glados drew a triangle with the base of 9.6 centimeters. It's area was 30.72 square centimeters. What was it's height (nearest tenth)
Answer:
the answer is 98.3cmsquared
DO THIS FOR BRAINLIEST PLEASE
Joey wants to find out what sport 7th grade girls like the most. He asks "Is basketball your favorite sport?"
This question is biased.
True OR False
Answer:
True
Step-by-step explanation:
I hope I'm right
Answer:
False
Step-by-step explanation:
No 7th grade girl likes basketball the most unless they're going through their tomboy phase of life.
Find the length below using the triangle given???asap
Answer:
PV = 8
VT = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
in a 30-60-90° Δ, the ratio of sides, respectively, is 1: [tex]\sqrt{3}[/tex]: 2
if PT = 4 then PV is twice that, or 8
VT = PT·[tex]\sqrt{3}[/tex]
Could somebody help me with this please
Answer:
x = 19°
Step-by-step explanation:
.........................
Forgive me if wrong
what if 1/3 years = -------- month
Answer: 1/3 of a year equals 4 months
Step-by-step explanation: This is because there are 12 months in a year and 1/3 years is 12/3, which is 4
Hope you are having a nice day and please tell me If got anything wrong
Answer: 4 months
Step-by-step explanation:I believe it would be four months because 12 months in a year divided by 1/3 would be 4 months. Hope this helps!
Allie buys 2 PACKAGES of napkins and 3 PACKAGES of forks for a class party. She gives the clerk $10.00. What is the total amount of money that Allie should receive back from the clerk as her change
I NEED HELP!!!!!!
Answer:
need to know the prices.
Answer:
$.85
Step-by-step explanation:
($1.89 x 2) + ($1.79 x 3) = ?
$3.78 + $5.37 = $9.15
$10.00 - $9.15 = $.85
Please help please please
Answer:
8
Step-by-step explanation:
There are less people on the 8.
6) A garden is 90m long and 50m wide. A path of 5m width is built outside and around it.
Find
(1) the area of the path
(11) the cost of cementing the path at the rate of Rs 250 per mº
Patty buys a carpet that is made up of 9 parallelograms. Each parallelogram has a base of 12 inches and a height of 20 inches.
The area of each parallelogram is
square inches.
The area of the carpet is
square inches.
Answer:
Patty buys a carpet that is made up of 9 parallelograms. Each parallelogram has a base of 12 inches and a height of 20 inches.
The area of each parallelogram is
✔ 240
square inches.
The area of the carpet is
✔ 2,160
square inches.
Helppppp!!!!
I don’t understand it
WILL MARK BRAINLIEST! Solve for x and each angles measure. Only asking for #5. Thank you!
Answer:
Step-by-step explanation:
2x + 3x + 135 = 180 Every triangle has 180 degrees
5x + 135 = 180 Subtract 135 from both sides.
5x = 45 Divide by 5
x = 9
2x = 18
3x = 27
Other angle 135
Total 280
Find the value of x.
to
4
42°
60°
-
Answer:
Step-by-step explanation:
The missing angle of the triangle is 180°-42°-60° = 78°.
x° = 180°-78° = 102°
if m<1 equals 35 what’s is m<3
Answer: 159
Step-by-step explanation: 53x3
Answer:
Step-by-step explanation:
m < 1 = 53°
then
m< 3 = m<1 + 90° ( exterior angle of a triangle is equal to the sum of two opposite interior angles )
m<3 = 53° + 90°
= 143°
hope it will help :)
The gross income, in dollars, that a company makes from
selling x items can be modeled by the expression 3x2 + 2x
+ 4. It costs the company x2 - 3x + 2 dollars to make x
items. Which expression represents the company's profit if
it makes and sells x items?
Answer:
x sells x
Step-by-step explanation:
$$$$$$$
Since 2005 the amount of money spent at restaurants in a certain country has increased at a rate of 8% each year. in 2005, about $280 billion was spent at restaurants. if the trend continues, about how much will be spent at restaurants in 2015?