Answer:
If the height is 8 inches and the bases are 7.1 and 15.1 then the area is 88.8.
If its not just look up trapezoid area and input the correct values for height, base a, and base b.
Step-by-step explanation:
Below is the output from a study to see whether there is evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels. Assume that the population variances in the amount of time for the two hotels are not equal. What is the smallest level of significance at which the null hypothesis will still not be rejected?
Hotel 1 Hotel 2
Mean 2.214 2.0115
Variance 2.951657 3.57855
Observations 20 20
Hypothesized Mean Difference 0
df 38
t Stat 0.354386
P(T<=t) one-tail 0.362504
t Critical one-tail 1.685953
P(T<=t) two-tail 0.725009
t Critical two-tail 2.024394
Required:
a. State the null and alternative hypotheses for testing if there is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels.
b. What is the value of the test statistic for testing if there is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels? Explain how you obtain your answer.
c. What is the critical value for testing if there is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels at the 5% level of significance?
Solution :
a). [tex]$\text{Set up hypothesis}$[/tex]
[tex]$\text{Null hypothesis}$[/tex] : There is no significance between them.
[tex]$H_0:\mu_1=\mu_2$[/tex]
[tex]$\text{Alternate hypothesis}$[/tex] : There is significance between them.
[tex]$H_1:\mu_1!=\mu_2$[/tex]
b). Test statics
[tex]$X(\text{mean}) = 2.214$[/tex]
Standard deviation [tex]$(s.d1)=1.718; \text{Number}(n_1)=20$[/tex]
[tex]$Y(\text{mean})=2.0115$[/tex]
Standard deviation [tex]$(s.d2)=1.8917; \text{Number}(n_2)=20$[/tex]
We use the test statics :
[tex]$t=\frac{X-Y}{\sqrt{\frac{s.d1^2}{n_1}+\frac{s.d2^2}{n_2}}}$[/tex]
[tex]$t_0=\frac{2.214-2.0115}{\sqrt{\frac{2.95152}{20}+\frac{3.57853}{20}}}$[/tex]
[tex]$t_0=0.35$[/tex]
[tex]$|t_0|=0.35$[/tex]
c. The critical value of |t| with minimum [tex]$(n_1-1)$[/tex] , i.e. 19 d.f is [tex]$2.093$[/tex]
We got [tex]$|t_0|$[/tex] = 0.35439 and |t| = 2.093
What’s -9/25 as a decimal
Marlene earned $178 at her summer job. She already had savings of $98.25. She buys a T-shirt for $19.50. How much money does she have left?
Answer:
$256.75
Step-by-step explanation:
$178 + $98.25 = $276.25
$276.75 - $19.50 = $256.75
Which statement best describes g(x) = cube root x + 6 - 8 and the parent function f(x) = cube root X?
Answer:
Here we can not see the options, so I will answer in a general way.
We have the equations:
g(x) = ∛(x + 6) - 8
f(x) = ∛x
First, let's describe the translations.
Vertical translation:
When we have a function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
Such that if N is positive, the translation is upwards
If N is negative, the translation is downwards.
Horizontal translation:
When we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
If N is positive, the translation is to the left
If N is negative, the translation is to the right.
Now that we know that, we can compare the functions:
g(x) = ∛(x + 6) - 8
f(x) = ∛x
So if we start with f(x), we can have a horizontal translation of 6 units to the left:
g(x) = f(x + 6)
And then a vertical translation of 8 units down:
g(x) = f(x + 6) - 8
∛(x + 6) - 8 = f(x + 6) - 8
Then g(x) is the function that you get when you apply a horizontal translation of 6 units to the left followed of a vertical translation of 8 units down to the function f(x)
Answer: c on edge
Step-by-step explanation:
What is the following product?
3.125 V6-7/3 )
Answer:
-2.33333333333333333333333
Step-by-step explanation:0
Each member of a 5- member cross-country team runs a course. Their individual times are as follows: 2 hours 17 minutes 2 hours 48 minutes 1 hour 53 minutes 2 hours 19 minutes 1 hour 38 minutes The team's overall score is the average number of minutes it takes for its members to complete the course. What is this team's score?
Answer:
2 hours
Step-by-step explanation:
hopefully
B(c) is a function.
1
2
L
3
А
B(C)
O A. True
O B. False
given sin x= 7/25 abd cos x = 24/25. what is the ratio for tan x?
Answer:
Solution given:
[tex] sin x=\frac{7}{25}[/tex]
[tex]Cosx=\frac{24}{25}[/tex]
Tanx=[tex]\frac{sinx}{cosx}=\frac{\frac{7}{25}}{\frac{24}{25}}[/tex]
Tan x=[tex] \frac{7*25}{24*25}[/tex]
tan x=[tex] \frac{7}{24}[/tex]
is a required answer.
Suppose that an individual has a body fat percentage of 16.2% and weighs 164 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
Answer:
26.6 pounds
Step-by-step explanation:
Hope this helps :)
Have a great summer!! :)
Answer:
26.6 pounds
Step-by-step explanation:
You must find 16.2% of 164.
10%=16.4
5%=8.2
1%=1.64
0.1%=0.164
0.2%=0.328
16.4+8.2+1.64+0.328=26.568
rounded = 26.6 pounds
if the original price is $50 and the final price is $60, the percent increase in price is
Answer:10
Step-by-step explanation:
60-50
COLLEGE MATH!!! Please help me!
Answer:
( [tex]-\infty[/tex], 0) and (8, [tex]\infty[/tex])
Step-by-step explanation:
Curve is concave downward when the second derivative is negative.
y' = [tex]\frac{x^{2} }{x^{2} -x+4}[/tex] , by the Fundamental Theorem of Calculus
y'' = [tex]\frac{-x^2+8x}{\left(x^2-x+4\right)^2}[/tex] , which has a denominator that is always positive. The numerator [tex]-x^2+8x[/tex] is negative when x > 0 and when x < 8. So that is when y'' is negative, and consequently when the curve y is concave down.
What is the mean of the data?
11
5
3
8
Please anybody help I need to finish this today!!
Answer:
well Liam is right that is the same statement
Mr. Feeney bought triple as many pencils as Ms. Debatty. If Ms. Debatty purchased p
pencils, then how many pencils did Mr. Feeney purchase?
Answer:
3p
Step-by-step explanation:
I need this please ya
GE = 26
Step-by-step explanation:
OP = 16 + 9 = 25
PE - OG = 7
Using Pythagorean theorem,
(GE)^2 = (OP)^2 + (PE - OG)^2
=(25)^2 + (7)^2
= 625 + 49
= 674
or
GE = √674 = 25.96 or 26
7pie/2 converted to degrees
Formula to convert radian into degrees
radian × (180°/π) = degrees
7π / 2 × 180 / π = 630°
pls help w give a brainlest
Answer:
Step-by-step explanation:
(27m^8n^4)^(1/3)
= 27^(1/3) (m6)^(1/3)(n)^(1/3) (m^2n)^(1/3)
= 3m^2n(m^2n)^(1/3)
So the answer is the last.
A student had 500 of water in a water bottle . She drank 30 % of the water before soccer practice practice drank of the water much water to the nearest milliliters does the student have left in the bottle ?
Answer:
piece of cake, she got 350ml of water left
Step-by-step explanation:
lets find out what 10% of 500 is, which is 50
so 20% is 100
we do 10% 3 times, so 50x3=150
500-150=350
it is 350
Find the margin of error for the given values of c, s, and n.
c=0.95, s=2.5, n = 26
Answer:
0.9609
Step-by-step explanation:
Margin of error is expressed using the formula;
M = z * √s²/n
z is the 95% z score = 1.96
s is the standard deviation = 2.5
n is the sample size = 26
M = 1.96 * √2.5²/26
M = 1.96 * √0.2404
M = 1.96 * 0.49029
M = 0.9609
Hence the margin of error is 0.9609
If my dad is 3x my age today and he was 4x my age 10 years ago, how old will I be in 25 years from now?
Answer:
55
Step-by-step explanation:
We can use the given relations to write an equation that can be solved for my age 25 years from now.
__
Let x represent my age in 25 years. The age relationships can be summarized as ...
in 25 years -- me: xnow -- me: x-25; dad: 3(x-25) = 3x-7510 years ago -- me: x-35; dad: 3x -85We know 10 years ago my dad was 4 times my age, so we have ...
4(x -35) = 3x -85
4x -140 = 3x -85 . . . eliminate parentheses
x = 55 . . . . . . . . . . . add 140-3x
I will be 55 in 25 years from now.
_____
Additional comment
10 years ago, I was 20 and my dad was 80. Now, I'm 30 and my dad is 90. In 25 years, I'll be 55.
How many books could you read in 114 days if you read 2 books every 3 days?
Answer:
76 books
Step-by-step explanation:
2/3 × 114 = 76
__________
the sum of digits of two digit number is 6 when we interchange the digits it is found that the resulting number is greater than the original number by 18. what is the two digit number?
Answer:
24
Step-by-step explanation:
Original Number :-
Given that ,
Sum of digits is 6 .Let ,
Tens place = x Units place = 6 - xNumber ,
10x + 6 - x = 9x + 6On interchanging the digits :-
Tens place = 6-x Units place = x→ Number = 10( 6-x) + x
→ Number = 60 - 10x + x
→ Number = 60 - 9x
According to Question,
→ 9x + 6 + 18 = 60 - 9x
→ 18x = 60 - 24
→ 18x = 36
→ x = 36/18
→ x = 2
N = 9x + 6 = 18+6 = 24 Hence the required answer is 24.hi... 424×424+424-424÷424=?
Answer:
180199
thenks and make me the brainliestt :))
Saj has made 7 litres of curry sauce.
He wants to put the curry sauce intojas.
Each jar can be completely filled with 375 millilitres of cury sauce.
Saj wants to completely fill as many jars as possible with cury sence.
How many jars can be fill?
Answer:
18 jars can be filled completely.
Step-by-step explanation:
7L=7000ml
1 jar contain 375 ml
375ml can be filled in 1 jar
375ml=1 jar
1 ml = 1/375 jar
7000 ml = 7000× 1/375 jar
7000ml= 18.67 jar
hence 18 jars can be filled completely.
The total number of jars that can be filled with sauce is A = 18 jars
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Saj has made 7 litres of curry sauce = 7000 mL
And , each jar can be completely filled with 375 millilitres of cury sauce
So , the number of jars A = 7000 / 375
On simplifying the equation , we get
A = 18.67 jars
Hence , the number of jars is A = 18 jars
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
What is 26.509 written in Expanded Form?
For i^2 =-1, (3-i)^2 = ?
A. 8
B. 10
C. 8-6i
D. 8 + 6i
E. 10-6i
The question is below.
Answer:
3/14
Step-by-step explanation:
12/56 is equivalent to 3/14
Answer:
14
Step-by-step explanation:
We simplify the fraction 12/56 by dividing the top and bottom by 4 to get 3/14. Thus, it is clear that the question mark is 14.
50 POINTS
Solve the system of equations
y=2/3x + 4
2x - 3y=3
A: Infinite Solutions
B: No Solution
C: (3,2)
D: (2,-3)
Answer:
B) no solution
Step-by-step explanation:
this can be solved by substitution method
y= ⅔x + 4. (equation 1)
and 2x-3y= 3. (equation 2)
substitute for y into equation 2
2x-3(2/3x + 4) = 3
2x - 2x -12=3
0=15
this is a no solution equation
Here
a_1=2/3a2=2b1=-1b2=-3c1=4c2=3[tex]\\ \sf\Rrightarrow \dfrac{a_1}{a_2}=\dfrac{2/3}{2}=\dfrac{1}{3}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{b_1}{b_2}=\dfrac{1}{3}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{c_1}{c_2}=\dfrac{-4}{3}[/tex]
As
[tex]\\ \sf\Rrightarrow \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]
It has no solutions
Shirts are 5% off. The original price of one shirt is $15. What is the total cost, in dollars, of a shirt at the sale price, including a 10% sales tax
Answer:
$15.75
Step-by-step explanation:
[tex]\frac{y}{15} :\frac{5}{100}[/tex]
y × 100 = 5 × 15
100y = 75
100y ÷ 100 = 75 ÷ 100
y = 0.75
$15 - $0.75
$14.25
[tex]\frac{y}{15} :\frac{10}{100}[/tex]
y × 100 = 10 × 15
100y = 150
100y ÷ 100 = 150 ÷ 100
y = 1.5
$14.25 + $1.50
$15.75
Convert 15 g/dL to mg/uL
Answer:
15000 mg/uL
Step-by-step explanation:
If 1 g/dL = 1000 mg/uL, 15 g/dL = 15,000 mg/uL