The correct null and the alternative hypotheses are:
[tex]h_0: \mu = 2.7\\\\ h_a: \mu < 2.7[/tex]
What is a hypothesis?A hypothesis is an untested statement in mathematics that is supported by all available data and numerous weaker results.
A "conjecture" is a mathematical statement that has not been proven.
The given data in the problem is;
n is the sample size = 40
μ is the population mean = 2.7
[tex]\rm \sigma[/tex] is the standard deviation= 0.2
[tex]\bar x[/tex] is the sample mean:= 2.3
It is found that the null hypothesis always shows the equality sign.
So for the null hypothesis;
[tex]h_0: \mu = 2.7[/tex]
It is observed that the sample mean is less than the population mean in that case, the alternate hypothesis will be;
[tex]h_a: \mu < 2.7[/tex]
Hence the correct null and the alternative hypotheses are:
[tex]h_0: \mu = 2.7\\\\ h_a: \mu < 2.7[/tex]
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If I have a 78 and I got a 93.1 on a test that counted for 5 percent of my grade what would my grade be?
Answer
It might be 88%
Step-by-step explanation:
What equivalent expressions are related to
5(5z + 7)
1. 25z + 35
2. 7(5z + 5)
3. 25z + 7
4. 35z + 25
Answer:
25z + 35
Step-by-step explanation:
5 times 5z is 25z plus 5 times 7 is 35..
find the LCM of 9 and 54 using prime factorization
Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. the table below shows the information about the two credit cards marcia currently uses. card a card b amount $1,879.58 $861.00 apr 14% 10% monthly payment $43.73 $18.29 after 5 years, how much will marcia have saved in interest by consolidating the two balances? a. $1,526.40 b. $2,422.80 c. $105.00 d. $227.40 please select the best answer from the choices provided. a b c d
The amount Marcia saved in interest by consolidating the two balances will be $105
What will be the amount Marcia will save in interest by consolidating the two balances?It is given that
For Card A = 1,879.58 ; APR 14%; monthly = 43.73
For Card B = 861.00 ; APR 10% ; monthly = 18.29
Now [tex]\rm 5\ Years \times\ 12\ months =60\ months[/tex]
For Card [tex]A=43.73\times60=2623.80[/tex]
For Card [tex]B=18.29\times60=1097.40[/tex]
Now the [tex]\rm Total=2623.80+1097.40=3721.20[/tex]
Since Lowest APR is 10%. monthly rate: 0.83%
So the Total Card balance [tex]1879.58+861=2740.58[/tex]
[tex]A=\dfrac{P\times r(1+r)^n}{(1+r)^n} -1[/tex]
[tex]A=\dfrac{2740.58\times(0.0083(1.0083)^{60}}{1.0083^{60}}-1[/tex]
[tex]A=2740.58\times0.022[/tex]
So monthly payment.
[tex]A=60.29[/tex]
[tex]60.29\times60=3617.40[/tex]
For Separate cards: 3,721.20
For Consolidated: 3,617.40
The Difference: 103.80
Thus the amount Marcia saved in interest by consolidating the two balances will be $105
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23
Select the correct answer
Two manufacturers of sport utility vehicles claim that the sharpness of the turning radius for their SUV is better than all other SUVs on the
market. John randomly selected 30 professional sports car drivers to test the manufacturers claims. The drivers were all experienced in driving
both manufacturers' SUVs as well as competing SUVs on the market. He asked 15 drivers their opinion of vehicle A and 15 drivers their opinion
of vehicle B. The drivers' opinions on both SUV manufacturers claims are shown in the table.
Vehicle A Vehicle B
11 13
Agreed
Disagreed
4
2
Given John's data collection method and findings, what conclusion can be made?
ОА
Both SUV manufacturers' claims are true, but the turning radius of vehide B is sharper than the turning radius of vehicle A.
OB. Only the claim for vehicle B is true because more people agree with their claim.
OC. Neither of the claims are correct.
OD. Only the claim for vehicle A is true because 11 out of 15 people agree with their claim
Reset
Next
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Answer:
a.) both suv manufractures claims are true
Step-by-step explanation: got it right on edmentum
Find the supplement of each angle. If the angle does not have a supplement, write None.
1.) 147
2.) 105
3.) 38
4.) 87
5.) 90
6.) 170
Answer:
{33, 75, 142, 93, 90, 10}°
Step-by-step explanation:
Two angles are supplementary when their sum is 180°. That means the supplement of an angle is the difference between that angle and 180°.
180° -{147, 105, 38, 87, 90, 170}° = {33, 75, 142, 93, 90, 10}°
California cafe has a goal of earning 130 on turkey wrap each day. How many turkey wraps do they need to sell in order to meet or exceed their goal?
Answer:
>130
Step-by-step explanation:
assuming this is inequality, to exceed their goal they would have to sell more than 130.
Solve the two-step equation.
3
4
(x) − 1.72 = −6.82
1. The first step is to
on both sides.
2. The second step is to
on both sides.
The solution is x =
Answer:
1. The first step is to
✔ add 1.72
on both sides.
2. The second step is to
✔ multiply by 4/3
on both sides.
The solution is x =
✔ -6.8
Step-by-step explanation:
Answer
The first step is to
add 1.72
on both sides.
2. The second step is to
multiply by 4/3
on both sides.
The solution is x =
-6.8
.
.
Step-by-step explanation:
(1,-4), (8,2) , (2,9) and (-5,3) Which formula can be used to determine the coordinates of the point at which the diagonals of this square intersect?
Answer:
The midpoint formula
Step-by-step explanation:
(x,y)=(x1+x2)/2,(y1+y2)/2 ..(Take any two points that are opposite to each other in this case first and third points)
(x,y)=(1+2)/2,(-4+9)/2
(x,y)=3/2,5/2
As the diagonals of a square are equal, their intersection point will be the midpoint.
What is the probability that a number selected from the numbers 1 to 15 is a multiple of 4?
Answer:
1/5
Step-by-step explanation:
probability = favorable outcomes/total outcomes
4, 8, 12 are multiples of 4, so there are 3 favorable outcomes.
There are 15 total outcomes.
Make the fraction
3/15
reduce by 3
1/5
Evaluate this expression
Answer:
7
Step-by-step explanation:
3 Square root 16-5
So...
First solve square root. You will get 4 (Coz 16=4×4)
And then 3 multiply by 4 = 12. And 12-5 = 7.
Hope this helps you.
Pls mark me Brainliest.
Hi! I hope you're enjoying your day! :)
Let's evaluate this expression.
First of all, notice that the square root of 16 and 3 are written together.
This means the square root of 16 is multiplied by 3.
What is the square root of 16?
[tex]\bold{\sqrt{16}}=4[/tex]
What is 3 times 4?
[tex]\bold{3*4=12}[/tex]
What is 12 minus 5?
[tex]\bold{12-5=7}[/tex]
Hence, the final answer is
[tex]\boxed{\boxed{\bold{7}}}[/tex]
Hope everything is clear.
If you have any questions, please comment.
#LearningIsFun
here is my question: Find the rule which gives the number of matchsticks required to make the following matchstick patterns?
What is 45% of 32? can u also help me out with 8
Answer:
the answer is x=14.4
Step-by-step explanation in the photo :)
Please help me to do this question friends ?
If the product of two numbers is 14 and one of the numbers is 3 1/2 times the other, then what is the sum of the two numbers?
Answer:
x=number1 and y=number2
product of the two numbers is 14 which translates to
xy=14
either x or y are 3.5 times big as the other one
so 3.5x=y
substituting in xy=14
x(3.5x)=14
[tex]3.5x^2=14\\x^2 =\frac{14}{3.5}=4[/tex]
then x must be equal to 2 or -2
x+y=
by substituting
x+3.5x=
if x =2 then 2+7=9 or if x=-2 then -2-7=-9
Evaluate 4x + 5y, when x = 7 and y = 10
My Explanation:
So, I picked 78. But the whole issue is that I can’t specifically “work it out”.
Question: How do you get 78? If you can give a kind answer, thank you very much. :)
Answer:
78
Step-by-step explanation:
4(x) = 4(7) = 28 5(x) = 5(10) = 50
28+50=
78
i need help quick!! its due in 10 mintunes helpp!!!!!
Answer:
b) 10
Step-by-step explanation:
(3×10+46)+14 = 90
Hope this helps!!!!!
Given that f(x) = 2000(1. 2) 5^x, Find
3. f(0)
4. f(2)
Is it graph 1, 2 or 3
What is the volume of a cylinder with a height of 4xy^4 and a radius of 2x? (The formula fo
the volume of a cylinder is V = pie r^2 h.)
Answer:
volume: [tex]\sf 16\pi x^3y^4[/tex]
given:
height: [tex]\sf 4xy^4[/tex]radius: [tex]\sf 2x[/tex]cylinder volume:
[tex]\hookrightarrow \sf \pi r^2h[/tex]
[tex]\hookrightarrow \sf \pi (2x)^2(4xy^4)[/tex]
[tex]\hookrightarrow \sf \pi (4x^2)(4xy^4)[/tex]
[tex]\hookrightarrow \sf 16\pi x^3y^4[/tex]
Before finding the surface area of a cylinder, you must convert all dimensions to the same unit of measure.
True or false
If a truck's tire has a radius of 2 ft, what is the circumference of the tire in feet?
Answer:
H
Step-by-step explanation
Help asap!
Monica is making a candle by pouring melted wax into a mold in the shape of a cylinder. The radius of the cylinder’s base is 6 cm, and the height of the cylinder is 12 cm. To get the wax for the candle, Monica melts cubes of wax that are each 5 cm by 5 cm by 5 cm. How many of the wax cubes will Monica need to purchase to make the candle? (Note that Monica is not able to purchase partial
cubes). Show all your work
Answer:
Volume of the cylinder=3.14×6×6×12=1356.48
volume of one cube=5×5×5=125
divide1356.48÷125=10.85
since she can't buy partial cubes, she'll have to purchase 11 cubes
Roy borrows $60 from his sister. She charges him 5% simple interest per month. How
much does Roy owe his sister if he pays her back after 4 months?
a. )
$72. 93
b. )
$60
c. )
$72
d. )
$120
Оа
Ob
Submit Answer
Ос
Od
Answer:
C.) 72
5% x 60 = 3
It's 4 months, so 4 x 3
4 x 3 = 12
12 + 60 = 72
help me solve it please
Answer:5
Step-by-step explanation:
the lenglength of 2x2x is 10 so 2x2x. Means that x is 5
What is the value of a?
Answer:
62 i think
Step-by-step explanation:
Find the domain and range. Show solution.
[tex]y = \frac{2}{2x} [/tex]
Domain:
Range:
We are given with a function y =2/(2x) . So , if we cancel the 2 from both numerator and denominator we are left with y = 1/x . Now , here we need to find the domain , bur let's Recall that Domain is the set of all values for which the given function is defined .Now , here , if we put x = 0 , then y will be not defined , but as for domain we need only the set of values for which the function is defined , so domain willn't include 0 , and for all real numbers except 0 , the given function is defined . So Our domain is [tex]{\boxed{\bf{(-\infty,0)\cup (0,\infty)}}}[/tex] and as this interval contains all real numbers except 0 , so domain can be further written as [tex]{\boxed{\mathbb{R}-\bf \{0\}}}[/tex] . Now , Range is the set of all output values of the function when we put the values of domain as input . So , now here when we put values of domain as input like let's put x = -1 , -2 , -3 , -4 , 1 , 2 , 3 ,..... we will get y = -1 , -1/2 , -1/3 , -1/4 , 1 , 1/2 , 1/3 and so on , now , the input will give output as 0 , iff input is Infinite , but as input can never be infinite, so output will never comes to 0 as the intervals of real numbers is [tex]{\bf{(-\infty,\infty)}}[/tex] it's an open interval so Infinity and -ve infinity is not concluded in the above interval because whenever we think a number as large as much we can think , their exists infinitely large numbers greater than it , assume you're thinking 10¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰ as the largest number you can think , but if we add 1 in that i.e 10¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰ + 1 comes to be greater than it , Hence , we don't include Infinity and -ve Infinity in the interval which represents the set of all real numbers. So now the range is same as the Domain i.e [tex]{\boxed{\bf{(-\infty,0)\cup (0,\infty)}}}[/tex] or [tex]{\boxed{\mathbb{R}-\bf \{0\}}}[/tex]
Hence , we concluded that :
[tex]{\bf Domain=\mathbb{R}-\bf \{0\}}[/tex][tex]{\bf Range=\mathbb{R}-\bf \{0\}}[/tex] Range = Domain
please helppp with this
Answer:
a) f(4) = 2(4) - 5 = 3
Step-by-step explanation:
First, we look at the function, and we see different domain restrictions.
We are given the value of 4. The first equation has a domain restriction which includes 4 as it has the line below the greater than sign.
So, the first equation must work.
So our answer is A.
Module 13 area and polygons answer key please help.
Answer:
Parallelogram - B.
Trapezoid - C.
Rhombus - A.
Step-by-step explanation:
Please answer quickly, I will give Brainlist and lots of points.
An ellipse has vertices along the major axis at (0, 1) and (0, −9). The foci of the ellipse are located at (0, −1) and (0, −7). The equation of the ellipse is in the form below.
Which is a correct value for one of the variables shown in the equation?
a = 10
b = 4
h = 3
k = 0
Answer:
A. A=10
Step-by-step explanation:
you’re welcome
The equation of the ellipse is required \frac{(x)^2}{16} +\frac{(y+4)^2}{25}=1
The required equation is
[tex]\frac{x^2}{16} +\frac{(y+4)^2}{25}=1[/tex]
It can be seen that the major axis is parallel to the y axis.
The major axis points are
[tex](h,k+a)=(0,1)\\(h,k-a)=(0,-9)\\k+a=1\\k-a=-9[/tex]
Subtracting the equations
[tex]2a=10\\\implies a=5[/tex]
The foci are
[tex](h,k+c)=(0,-1)\\(h,k-c)=(0,-7)[/tex]
[tex]k+c=-1\\k-c=-7[/tex]
Subtracting the equations
2c=6
c=3
k+c=-1 implies that k=-1-c
k=-1-3
k=-4
What is the equation of the ellipse?[tex]\frac{(x-h)^2}{b^2} +\frac{(x-h)^2}{a^2}=1[/tex]
So we get,
[tex]\frac{(x-0)^2}{4^2} +\frac{(y+4)^2}{5^2}=1[/tex]
[tex]\frac{(x)^2}{16} +\frac{(y+4)^2}{25}=1[/tex]
Therefore the equation is, [tex]\frac{(x)^2}{16} +\frac{(y+4)^2}{25}=1[/tex].
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