Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.
Step-by-step explanation:
Definitions:
Null hypothesis [tex](H_0)[/tex] is a statement describing population parameters according to the objective of the study. It takes "≤,≥,=" signs. Alternative hypothesis[tex](H_a)[/tex] is a statement opposite to the null hypothesis elaborating population parameters according to the objective of the study. It takes ">, <, ≠" signs.Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.
If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.
i.e. [tex]H_a: \text{Mean}\neq 5.8[/tex]
So, [tex]H_a: \text{Mean =5.8}[/tex]
The required null and alternative hypotheses:
H0: Mean= 5 and Ha: Mean is not equal to 5.
18 out of 20 to percentage
Answer:
90%
Step-by-step explanation:
A coat cost $37.88 at Walmart. The sales tax is 5.5%. What is the total amount of the coat including the sales tax?
4 feet ≈ how many meters Round to the nearest hundredth
. Three employees each clocked a different number of hours worked this week.
Employee Hours Worked Total Earned (in dollars)
A 35 $420
B 22 $242
C 16 $216
Which employee has the highest earnings per hour?
A) Employee A
B) Employee B
C) Employee C
Answer:
C IS THE ANSWER
Please help immediately!!
Answer:
x=7° y=4°
Step-by-step explanation:
7x+131=180
7x=180-131=49
x=49/7=7°
11x+y+99=180
77+y+99=180
y=180-99-77
y=4°
Help. Please and a few others are
Answer:
YES ITS MEDIAN!!!
Step-by-step explanation:
Answer:
yes you are correct it is the median.
Step-by-step explanation:
how many degrees is a acute angle
Any angle that measures less than 90 degrees
CAN SOMEONE PLEASE ANSWER THIS FOR ME
Ani do niot know lol
Step-by-step explanation:
Answer:
J. 20ft
Step-by-step explanation:
1 2/3 = 5/3
5/3 * 12/1 = 60/3
60/3 = 20
What is the mean absolute deviation of each swim club?
A:5
B:50
C:0
D:10
Answer:
c
Step-by-step explanation:
Find the value of f(4) for the function
Answer:
f(4) = 7
Step-by-step explanation:
The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.
In our case
f(a) = 2(a + 4) -9
could be rewritten as
y = 2(a + 4) - 9
the thing on the inside of the parentheses signifies what the equation is dependent on.
so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.
f(4) = 2((4) + 4) - 9
Now, just follow the order of operations
f(4) = 2(8) - 9
f(4) = 16 - 9
f(4) = 7
b) Suppose you throw two fair dice. What is the probability of getting an even number on the first and a 5 or 6
on the second die?
Answer:
Most likely 1/2 of a chance to get it and 1/6 of a chance to roll a 5 or 6
a family wants to have two children determine the probability of a family having two girls
James wanted to fence in his backyard for his dog Remi. The yard has a length of 12 feet and a width of 4 feet. What is the area and perimeter of the fenced yard?
A= P =
Answer:
The area of the fenced yard is 48 feet sq. and the perimeter is 32 feet.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
write an equivalent expression 8(y-7z+1)
Answer:
8y−56z+8
Step-by-step explanation:
how many 5/8 pound bags does it take to get 16 pounds of soil?
Answer:
10
Step-by-step explanation:
Inequality of t+250+800
Answer:
2983839i8
468393749493948
Hsjejrhrjjh4u4i84748394
Je83847483
373783838383884
373838383
Jkffffffffffffffffffffffffffffdddfddfffffffddddddddddddddddddfffffffffffffffffffffffffff
A rectangular prism and its dimensions are shown in the diagram.
Dimensions:length 7.5 width 5 height 6.5
what is the total surface area
Answer:
237.5
Step-by-step explanation:
2·(5·7.5+6.5·7.5+6.5·5)=237.5
HELP ILL GIVE BRAINLIEST AND NO LINKS
Answer:
x<9
Step-by-step explanation:
Find the surface area of the following figure with the given dimension
Answer:
435 in.²
Step-by-step explanation:
Surface area of the square pyramid = area of the square base + ½(Perimeter of base)(slant height)
Area of base = s²
s = 15 in
Area = 15² = 225 in²
Perimeter of the base = 4(15) = 60 in
Slant height = 7 in
Surface Area = 225 + ½(60)(7)
= 435 in.²
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-15x^2+801x-5900
Answer:
In order to maximize profit, each widget should sell for $26.70.
Step-by-step explanation:
The total amount of profit y given by the selling price of each widget x is given by:
[tex]y=-15x^2+801x-5900[/tex]
And we want to determine the price of each widget such that is yields the maximum profit.
Since the equation is a quadratic, the maximum profit will occur at the vertex of our parabola.
The vertex of a quadratic is given by:
[tex]\displaystyle \left(-\frac{b}{2a},f\left(-\frac{b}{2a}\right)\right)[/tex]
So, let's find the vertex. In our equation, a = -15, b = 801, and c = -5900.
Therefore, the price that maximizes profit is:
[tex]\displaystyle x=-\frac{801}{2(-15)}=\$26.70[/tex]
Therefore, in order to maximize profit, each widget should sell for $26.70.
Notes:
Then substituting this back into the equation, the maximum profit is:
[tex]y_{\text{max}}=-15(26.7)^2+801(26.7)-5900=\$ 4793.35[/tex]
Each small square in the figure below measures 1 foot on each side what is the area of the triangle
Answer:
It should be 0.5 if I’m wrong let me know
Step-by-step explanation:
A=HbB/ 2 = 1x1/2=0.5
Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not
make any additional deposits or withdrawals. How much Interest will Tamara earn on her
Investment at the end of 3 years?
F $1,800
G $600
H $450
J $1.873
Answer:
F $1800
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 15000 × 0.04 × 3 = 1800
I = $ 1,800.00
The simple interest accumulated
on a principal of $ 15,000.00
at a rate of 4% per year
for 3 years is $ 1,800.00.
Answer:
F. $1800
Step-by-step explanation:
Simple interest means that a percent of the initial amount will be paid back each year, this amount will not change from year to year. To calculate the simple interest over a given unit of time, multiply the amount by the interest rate in decimal form, then multiply that value by the time span that this was taken over. The result will be the amount earned.
The following formula can be used to describe this scenario,
[tex]simple\ interest=(time)((amount)(interest\ rate))[/tex]
Substitute,
[tex]=(3)((15000)(4))[/tex]
To convert a percent to decimal form, divide the percent by (100)
[tex]=(3)((15000)(0.04))[/tex]
[tex]=(3)(600)\\\\=1800[/tex]
Someone answer this Please
Answer:
15 miles
Step-by-step explanation:
The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.
Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.
[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]
Take the square root of both sides
[tex]15=c[/tex]
Therefore, the length of the hypotenuse is 15 miles.
I hope this helps!
Which of the following is true about the figure?
a. m MUC - m MUP = m PUC
b. m DUC + m VUA = m DUV
C. m MUC = m MUV = m VUA = m AUD
d. m CUA + m DUP = m PUM
Answer:
a. m<MUC - m<MUP = m<PUC
Step-by-step explanation:
From the options given, the only statement that is true of the figure shown is:
a. m<MUC - m<MUP = m<PUC
Rationale:
m<MUC = m<MUP + m<PUC (Angle Addition Postulate)
Subtract m<MUP from each side
m<MUC - m<MUP = m<PUC
help pleaseeeeeee :(
Answer:
Do 16 times pi.
Step-by-step explanation:
The closest answer is D.
Answer:
8 (option 1)
Step-by-step explanation:
Mark it as option 1 => 8 is the crt answer
2pi r = 16
r = 8
help please triangles and trig
Answer:
[tex]\sin L = \frac{3}{5}[/tex]
[tex]\tan N = \frac{4}{3}[/tex]
[tex]\cos L = \frac{4}{5}[/tex]
[tex]\sin N = \frac{4}{5}[/tex]
Step-by-step explanation:
Given
The above triangle
First, we calculate the length LM using Pythagoras theorem.
[tex]LN^2 = LM^2 + MN^2[/tex]
[tex]10^2 = LM^2 + 6^2[/tex]
[tex]100 = LM^2 + 36[/tex]
Collect like terms
[tex]LM^2 = 100 - 36[/tex]
[tex]LM^2 = 64[/tex]
Take positive square root
[tex]LM=8[/tex]
Solving (a): Sin L
[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin L = \frac{MN}{LN}[/tex]
[tex]\sin L = \frac{6}{10}[/tex]
Simplify
[tex]\sin L = \frac{3}{5}[/tex]
Solving (b): tan N
[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan N = \frac{LM}{MN}[/tex]
[tex]\tan N = \frac{8}{6}[/tex]
Simplify
[tex]\tan N = \frac{4}{3}[/tex]
Solving (c): cos L
This calculated as:
[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos L = \frac{LM}{LN}[/tex]
[tex]\cos L = \frac{8}{10}[/tex]
Simplify
[tex]\cos L = \frac{4}{5}[/tex]
Solving (d): sin N
This is calculated using:
If [tex]a + b = 90[/tex]
Then: [tex]\sin a = \cos b[/tex]
So:
[tex]\sin N = \cos L[/tex]
[tex]\sin N = \frac{4}{5}[/tex]
A scuba diver descended 20 1/5 feet below sea level. Then, he descended another 3/ 1/5 feet. Which of the following is true about the scuba diver after both descents?
A.
The location of the scuba diver in relation to sea level was feet.
B.
The location of the scuba diver in relation to sea level was feet.
C.
The location of the scuba diver in relation to sea level was feet.
D.
The location of the scuba diver in relation to sea level was feet.
Answer:
A, B, C, and D
Step-by-step explanation:
all answer choices are the same
AP Statistics Quiz 10.2
1.
Mrs. Toguchi wants to determine if politicians tend to have higher salaries, on average, than first
responders (specifically emergency medical technicians, EMTs). Independent random samples from each
of these two professions were selected and their salaries were recorded. The data are summarized below.
a) the distribution of salary in each group is skewed right. The use of two-sample t procedures is still justified why?
b) construct and interpret a 99% confidence interval for the difference in the true mean salaries for politicians and EMTs
Answer:
Hello some data related to your question is missing attached below is the missing data
a) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures. since ( to > critical value )
b) ( 3.819 , 8.5226 )
Step-by-step explanation:
Applying the Given data:
The test hypothesis :
H0 : μ1 = μ2
Ha : μ1 > 2
A) since ( to > critical value ) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures
B ) construct and interpret
next calculate the SP value
[tex]S^{2} _{p}[/tex] = [tex]\frac{( n1 - 1 )S^{2} _{1} + ( n_{2}- 1 )S^{2} _{2} }{n1 + n2 - 2}[/tex]
where: S1 = 7524 , n1 = 50 , n2 = 100 , S2 = 5551 ( input values into equation above )
∴ [tex]S^{2} _{p}[/tex] = 39354491.3716
hence : [tex]S_{p}[/tex] = 6273.32
next calculate the value of test statistic
to = ( X1 - X2 - Δo ) / Sp [tex]\sqrt{\frac{1}{n1} + \frac{1}{n2} }[/tex]
where: X1 = 61234 , X2 = 54529 , Sp = 6273.32 , n1 = 50 , n2 = 100 ( input values into equation above )
to = 6705 / 1086.5702 = 6.1708
Df ( degree of freedom ) = n1 + n2 - 2 = 148
critical value at ∝ = 0.01 = ± 2.3518 ( using excel function : T.INV(0.01,148) )
hence the confidence Interval
= ( 6.1708 ± 2.3518 )
= ( 3.819 , 8.5226 )
For the table of Mrs. Toguchi the t test for two sample is not justified and the confidence interval for this two values is (6.1708, ±2.3518).
What is random sample?Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.
Mrs. Toguchi wants to determine if politicians tend to have higher salaries, on average, than first responders (specifically emergency medical technicians, EMTs).
Independent random samples from each of these two professions were selected and their salaries were recorded. The data are summarized below.
Politicians EMT's
Mean $61,234 $54,529
Standard deviation $7524 $5551
n 50 100
a) The distribution of salary in each group is skewed right. The use of two-sample t procedures is still justified-The hypothesis for the test,
[tex]H_0:\mu_1=\mu_2\\H_a:\mu_1 > 2[/tex]
No it is not justifies, as the null hypothesis is rejected.
b) construct and interpret a 99% confidence interval for the difference in the true mean salaries for politicians and EMTsThe pooled estimate of a common population standard deviation can be given as,
[tex]S_p=\sqrt{\dfrac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}}[/tex]
Put the values in the above formula from the table, we get,
[tex]S_p=\sqrt{\dfrac{(50-1)(7524)^2+(100-1)(5551)^2}{50+100-2}}\\S_p=6273.32[/tex]
Use the formula of test statistics for equal variance as,
[tex]t=\dfrac{\overline y_1-\overline y_2-0}{s_p\sqrt{\dfrac{1}{n_1}+\dfrac{1}{n_2}}}[/tex]
Put the values from the table as,
[tex]t=\dfrac{61234-54529-0}{(6263.32)\sqrt{\dfrac{1}{50}+\dfrac{1}{100}}}\\t=6.1708[/tex]
The degree of freedom can be given as,
[tex]DF=100+50-2\\DF=148[/tex]
The critical value for 99 percent interval (0.01) is ±2.3518.
Hence, the confidence interval for this two values is (6.1708, ±2.3518).
Thus, for the table of Mrs. Toguchi the t test for two sample is not justified and the confidence interval for this two values is (6.1708, ±2.3518).
Learn more about the random sample here;
https://brainly.com/question/17831271
Given f (x) = x + 1 and g(x) = x2, what is (gof)(x)?
Answer:
(gof)(x) = x² + 2x + 1
Step-by-step explanation:
You can solve this by plugging f into g and finding the result:
(gof)(x) = f(x)²
= (x + 1)²
= x² + 2x + 1
HELP WILL GIVE BRANLIEST
Answer:
The answer would be B [tex]120ft^{3}[/tex]
Step-by-step explanation:
volume of triangular prism is 30 and volume of the cube is 90 :)