Answer:
Step-by-step explanation:
Given that:
The population mean [tex]\mu[/tex] = 30
The sample size n = 200
The sample-mean [tex]\overline x[/tex] = 27.5
The sample standard deviation s = 18.9
The level of significance ∝ = 0.05
The null hypothesis and the alternative hypothesis can be written as:
[tex]H_o:\mu \ge 30 \\ \\ H_1: \mu < 30[/tex]
Since the alternative hypothesis indicates < sign, then this test is left-tailed
The t-test statistics is:
[tex]t =\dfrac{\overline x - \mu }{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t =\dfrac{27.5 -30 }{\dfrac{18.9}{\sqrt{200}}}[/tex]
[tex]t =\dfrac{-2.5}{\dfrac{18.9}{14.142}}[/tex]
t = -1.871
The p-value = P(t< -1.871)
From the standard normal t tables
The p-value = 0.0314
Thus, since the p-value is less than the level of significance ∝ = 0.05, then we reject the null hypothesis.
There are ten bird baths in a park. On the first day of spring, the bird baths are filled. Several weeks later, the overall change in the water level is found. The results are shown in the table. What is the range of the data?
(-15) divide 3 doing old work anybody wanna help
Answer:
-5
Step-by-step explanation:
-15 dived by 3 is -5 :)
It cost $15 dollars to send 3 packages though a certain shipping company. Consider the number of packages per dollar. find the constant of proportionality
At the same rate how much will it be for 6 packages to be shipped
The constant of proportionality is y=5x. It will cost $30 for 6 packages to be shipped.
PLEASE HELP ASAP
I think I know but I want to double check
Answer:B 1/18
Step-by-step explanation:
Find the measure of angle A
Answer:
Angle A= 30
Step-by-step explanation:
A triangle has to equal 180 degrees so the first thing you have to do is subtract 180-70. You get 110 so the other two angles in the triangle have to equal 110.
Now you can solve the expression x+40+x+90=110
First combine like terms 2x+130=110
Then subtract 130 from both sides 2x=-20
Then divide by 2 x=-10
Then solve for a -10+40=30
So angle A = 30
There are 5 girls and 1 boy taking swimming lessons. The ratio that compares the number of girls taking
swimming lessons to the total number of students taking swimming lessons can be written three different
ways. Enter the three different ways.
Answer:
5:6
five of the 6 students are girls
5/6
Step-by-step explanation:
Not sure if these are the three different ways you wanted, but all of these represent the number of girls compared to the total number of students.
There was one half of a pizza left. It was divided equally amongst 3 kids. What fraction of the pizza did each kid get?
Answer:
one-sixth
multiply the numerator (2) by the number of kids (3) because you are accounting for the fraction of the whole pizza. By doing this you should get 3/6. divide the denominator by the number of kids (3/3) getting you to a value of 1, and replace the denominator, making the amount of pizza one-sixth.
what is the slope of the graph
Answer:
I think it's B.
Step-by-step explanation:
Answer:
D. -(5/4)
Step-by-step explanation:
Which expression is equivalent to the one below?
(26 x 96) = 1814
Answer:
the answer is A.
Step-by-step explanation:
([tex]2^{6}[/tex]×[tex]9^{6}[/tex])÷[tex]18^{14}[/tex]
2×9= 18
6+6= 12
[tex]18^{12}[/tex]÷[tex]18^{14}[/tex]
[tex]18^{12-14}[/tex]= [tex]18^{-2}[/tex]
[tex]1/18^{-2}[/tex]
Find the value of aaa that makes the equation true.
Answer:
Umm I wann say 18 because 18+18=36
Step-by-step explanation:
please tell me if this is right please
Answer: I think this is right
Combine the like terms to create an equivalent expression.
4p+6−3
Answer:
4p+3
Step-by-step explanation:
There are two different types of “categories/groups” in this expression: the p variable that’s being multiplied by 4, and the integers, 6 and -3. So you can combine the 6 and -3 (also 6 minus 3) which just gives you 3. All you have left is 4p+3. You can’t combine the 4p and 3 because they are different “categories/groups”.
Hope this helps and answers you question :)
Answer:
♡ madeline here ♡
hi luv! its 4p+3
here are the steps.
number 1: 6-3=3
number 2: just take
the 4p and add it. easy.
stay safe and stay great. ☆
have a great day!
- madeline/madi
✧・゚: *✧・゚:・゚✧*:・゚✧・゚
Step-by-step explanation:
Find the minimum value of the function f (x) = 2x² + 11.4x + 18.5 to the
nearest hundredth.
Answer:
2[tex]x^{2}[/tex] + 11.4x + 18.5 ---> No Like Terms
Step-by-step explanation:
The following table represents a linear function. What is the slope?
A. slope = -3
B. slope= 1/3
C. slope = 3
D. slope = -1/3
Answer:
C. 3
Step-by-step explanation:
To find slope you take one (y) and subtract another (y) then divide that by an (x) minus the other (x) so
8-5/2-1
3/1.
The slope is 3
Answer: C the slope is 3!
Step-by-step explanation:
Zeb and his wife have a taxable income of $167,487. What is their tax liability?
A. $46,896.36
B. $73,583.86
C. $8,452.36
D. $35,139.86
Answer:
D
Step-by-step explanation:
Does someone that knows how to do this??
Answer:
-1/2
Step-by-step explanation:
rise over run
rise is -2
run is 4
(-2/4)/2=(-1/2)
hope this helps :3
if it did pls mark brainliest
Leah is measuring the weight of adult rhinos at the zoo. Which unit of measurement should she use to eliminate the need to write the values in scientific notation?
grams
feet
gallons
tons
Answer:
tons
Step-by-step explanation:
Help me with my math!!!!!!!!!!
Answer:
I got u
Step-by-step explanation:
How many cubes of length 2 would it take to fill a rectangular solid with a
volume of 120?
Answer:
I think it is 1 ruler to measure it
m(x)=4x+15;m(x)=7
Answer?
Answer:
M=0
Step-by-step explanation:
(M)=4M+15(M)=7
We move all terms to the left:
(M)-(4M+15(M))=0
We add all the numbers together, and all the variables
M-(+19M)=0
We get rid of parentheses
M-19M=0
We add all the numbers together, and all the variables
-18M=0
M=0/-18
M=0
what is 2.6x1.4= and 4.5 x 0.08= please use properties to find each product thanks <3
2.6x1.4=3.64
4.5x0.08=0.36
bananas cost $0.18 each. How many can Mo buy for $2? (Tip!) Round to the nearest whole banana.)
Answer:
Step-by-step explanation:
.18x=2
x= 11.1
she can get 11 whole bananas
Evaluate:
48 ÷ 8 + 5 × (7 – 2)
Answer:
hope this helps you out :)
The value of the expression is 31.
What is expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
Given that, an expression 48 ÷ 8 + 5 × (7 – 2)
48 ÷ 8 + 5 × (7 – 2)
= 6 + 5 × 5
= 6 + 25
= 31
Hence, the value of the expression is 31.
Learn more about expression, click;
https://brainly.com/question/14083225
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A rectangular swimming pool is 8 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to fill the swimming pool is 2304 cubic feet. Find the dimensions of the pool.
The smaller dimension of the pool is____ft and the larger dimension is____ft
Answer:
length= 42, width=12, depth=8Step-by-step explenation:
The smaller dimension of the pool is 8 ft and the larger dimension is 36 ft
The length of the rectangle = 8 feet
The width of the rectangle = 36 feet
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
The volume of the rectangle is V = 2304 feet³
Let the length of the rectangle be = A
One side of the pool is 4.5 times longer than the other
So , the width of the rectangle be = 4.5A
Now , on simplifying the equation , we get
Volume of Rectangle = Length x Width x Height
Substituting the values in the equation , we get
Volume of Rectangle = 8 x A x 4.5A
36A² = 2304
Divide by 36 on both sides of the equation , we get
A² = 64
Taking square roots on both sides of the equation , we get
A = 8 feet
Therefore , the width of the rectangle = 4.5 A = 36 feet
Hence , the dimensions of the rectangle is 8 x 36 x 8
To learn more about volume of rectangle click :
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ok guys my grades have died and ive been getting better and i wanted to know if i should finish the rest of my mod tonight or tomorow . i know its stupid but give honest answers
Answer:
tonight.
Step-by-step explanation:
Can a translation and a reflection map TriangleQRS to TriangleTUV? Explain why or why not. No, the triangles are not congruent. Yes, a translation mapping vertex Q to vertex T and a reflection across the line containing QS will map △QRS to △TUV. No, the triangles are obtuse. Yes, a translation mapping vertex S to vertex T and a reflection across the line containing RS will map △QRS to △TUV.
Answer:
b
Step-by-step explanation:
Answer:
the is b yes
Step-by-step explanation:
triple the difference of u and 9
Answer:
I'm not sure what your saying
Step-by-step explanation:
The perimeter of a rectangular garden is 4534 m. The length is 1125 m more than thrice the width. Find the length and the width of the rectangular garden. (Estimate to the nearest tenths place and verify the reasonableness).
Length is 19.2 m and width is 3.9 m
Length is 21.1 m and width is 2.1 m
Length is 18.3 m and width is 4.9 m
Length is 20.1 m and width is 2.9 m
he answer is D welcome
For friends split equally a lunch bill of $36.96 +20% tip how much did each person pay?
Answer:
Step-by-step explanation:
Well first we need to add the tip in order to find the total amount of cash needed to be paid.
0.3696 x 20 = 7.392
So lets just say $7.39
Add that to the sub total which is 36.96
36.96 + 7.39 = $44.35
Now, in order to figure out how much each friend should pay, we divide the total by 4.
44.35/4 = 11.0875
So lets just say $11.09
So each friend should pay about $11.09
PLEASE ANSWER ASAP!!
Answer:
D = 42
A = 42
Step-by-step explanation:
If ABC = DEF
A = D
x + 21 = 2x
21 = 2x - x
21 = x
A = x + 21
(21) + 21 = 42
D = 2x
2(21) = 42
I'm 90% sure. I'm not fully sure though.