Answer:
Step-by-step explanation:
From the given information:
Null and alternative hypothesis is:
[tex]\mathbf{H_o: \text{The die is not loaded i.e. six numbbers are equally alike}}[/tex]
[tex]\mathbf{H_a: \text{The die is loaded i.e. six numbbers are not equally alike}}[/tex]
Numbers Observed Expected (O - E) (O-E)^2 (O-E)^2/E
Frequency (O) Frequency (E)
1 31 30 1 1 0.03
2 34 30 4 16 0.53
3 26 30 -4 16 0.53
4 16 30 -14 196 6.53
5 32 30 2 4 0.13
6 41 30 11 121 4.03
Total 180 [tex]X^2= \sum (\dfrac{O-E}{E})^2=11.78[/tex]
degree of freedom = n - 1
= 6 - 1
= 5
Critical value at [tex]X^2_{0.05/2,5} =11.07[/tex]
Since the calculated [tex]X^2 \ is \ > X^2_{0.025/5}[/tex] , then we reject [tex]H_o[/tex]
Conclusion: Accept the alternative hypothesis.
The information provided gives sufficient evidence for us to conclude that the given die is loaded.
Help with 5+5-3 please
Step-by-step explanation:
5+5-3= 7
!!!!!!!!!!!!!!!!!
Answer:
answer is 7 please give a brainliest please
Step-by-step explanation:
25 POINTS NEED HELP QUICKLY:
Choose the system of inequalities that best matches the graph below.
A.
B.
C.
D.
Answer: D y>2x-1
y<1/3x+1
Step-by-step explanation: I took the test and got it right
The points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities D y>2x-1 and y<1/3x+1 which is correct options (D).
What is inequality?Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Given the system of inequalities as
y>2x-1 and y<1/3x+1.
To determine the solutions, you first have to graph both of the lines in the problem.
y = 2x-1 and y = 1/3x+1. Then, to shift them to inequality, you have to shade the half-plane that they represent.
The solution is the space that they have in common. In this case, it will be on the right side of the graph.
The points (0, 0) and (6/5, 7/5) are included in the shaded region they have in common.
Hence, the points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities y>2x-1 and y<1/3x+1.
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ2
Triangle PQR with area 32cm square and base QR is an enlargement of Triangle ABC with area 8 cm square and base BC=3cm , what is the length of QR in cm?
a) 6
b) 8
c) 10
d) 12
Answer:
6 cm (Option A)
Step-by-step explanation:
GIVEN :-
ΔPQR whose area is 32 cm² & has base QR.ΔABC whose area is 8 cm² & has base BC = 3 cmΔPQR is an enlarged figure of ΔABC.TO FIND :-
Length of QRFACTS TO KNOW BEFORE SOLVING :-
Lets say there are two triangles ΔABC & ΔXYZ , who are similar to each other.
[tex]=> \frac{Area \: of \: ABC}{Area of XYZ} = (\frac{AB}{XY})^ {2} = (\frac{BC}{YZ})^2 = (\frac{AC}{XZ} )^2[/tex]
SOLUTION :-
In the question it's given that ΔPQR is an enlarged figure of ΔABC.
⇒ ΔPQR is similar to ΔABC.
[tex]=> \frac{Area \: of \: PQR}{Area \: of \: ABC } = (\frac{QR}{BC})^2[/tex]
[tex]=>\frac{32}{8} = (\frac{QR}{3})^2[/tex]
Root squaring both the sides ,
[tex]=> \sqrt{(\frac{QR}{3})^2} = \sqrt{\frac{32}{8} }[/tex]
[tex]=> \frac{QR}{3} = \sqrt{4} =2[/tex]
Multiplying both the sides by 3 ,
[tex]=> \frac{QR}{3} \times 3 = 2 \times 3[/tex]
[tex]=> QR = 6 \:cm[/tex]
[tex] \bf \pink{Define \: the \: decimal \: number \: system \: in \: your \: own \: words. }[/tex]
Answer:
The decimal number system comprises digits from 0-9 that are 0, 1, 2, 3, 4, 5, 6, 7, 8 & 9. Some of the decimal number system examples are: ... 34110, 5610, 678910, 7810. Now as we know to write decimal numbers till 10 let us use the 3 rules on a decimal system,to write further numbers.
[tex] \bf \pink{Define \: the \: decimal \: number \: system \: in \: your \: own \: words. }[/tex]
Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. ... It also requires a dot (decimal point) to represent decimal fractions.
Solve the Exponential Equation:
[tex]5 { }^{66} = {3}^{42} [/tex]
Help me PLEASEEEEEEEEEEEEE
Answer:
4.0.
Step-by-step explanation:
In sample 1, you do 0.65/1.3 which gets you to 0.5, so then you do the same to the bottom which you also have to divide by 1.3, and 5.2/1.3 is 4.0 or 4.
Answer:
option D. 4.0
Step-by-step explanation:
Mass Volume
Sample 1 0.65 0.5
Sample 2 5.2 x
[tex]\frac{0.65}{5.2} = \frac{0.5}{x}\\\\0.65 \times x = 0.5 \times 5.2\\\\0.65x = 2.6\\\\x =\frac{2.6}{0.65} =4[/tex]
help? (i mark brainlist)
HELP someone please!!!! i dont understand
Answer:
x = 65.03°
Step-by-step explanation:
To solve for x, we have to apply trigonometric ratio.
Recall: SOH CAH TOA
From the diagram, we know the following:
Reference angle = x
Hypotenuse = 45
Adjacent = 19
Since we know the Hyp and Adj, we would apply CAH, which is:
Cos x = Adj/Hyp
Plug in the values
[tex] cos(x) = \frac{19}{45} [/tex]
[tex] x = cos^{-}(\frac{19}{45}) [/tex]
x = 65.0250346°
x = 65.03° (nearest hundredth)
Solve the formula Ax + By = C for X
Answer:
Step-by-step explanation:
Ax+By=C
Ax=C-By
x=C-By/A
68 - 4 × (6 - 4)4
pls help the answer questions are
16 80 4 or -2
please solve both thank you!
Answer:
First problem: 24 + 4x = 60
Second problem: 9
Step-by-step explanation:
24 + 4x = 60
4x = 36
x = 9
does 2, 5, and 7 make a right triangle
Answer: No, we don't have a right triangle
==========================================================
Explanation:
If a triangle with sides a,b,c makes the equation a^2+b^2 = c^2 true, where c is the longest side, then this triangle is a right triangle. This is the converse of the pythagorean theorem.
Here we have a = 2, b = 5 and c = 7.
So...
a^2+b^2 = c^2
2^2+5^2 = 7^2
4+25 = 49
29 = 49
The last equation is false, so the first equation is false for those a,b,c values. Therefore, we do not have a right triangle.
------------
In contrast, consider the classic 3-4-5 right triangle
a = 3, b = 4 and c = 5 would make a^2+b^2 = c^2 true because 3^2+4^2 = 5^2 is a true equation (both sides lead to 25).
A train leaves a station at 10.15am and
gets to another one at 1.15pm. The
average speed between the stations
is 76km/hr. What is the distance?
9514 1404 393
Answer:
228 km
Step-by-step explanation:
Traveling 3 hours at 76 km/hour, the train covers a distance of ...
distance = speed × time
distance = (76 km/h)(3 h) = 76×3 km = 228 km
ILL GIVE BRAINLIEST AND 10 POINTS
Answer:
[tex](7m^2+10)^2[/tex]
Step-by-step explanation:
This is a quadratic in disguise. To visualize this better, let [tex]x=m^2[/tex]. We have:
[tex]49x^2+140x+100[/tex]
To factor, we can write out the format [tex](ax+y)(bx+z)[/tex]. We're looking for numbers [tex]a[/tex], [tex]b[/tex], [tex]y[/tex], and [tex]z[/tex] such that the following is true:
[tex]a\cdot b=49[/tex] [tex]a\cdot z+b\cdot y=140[/tex] [tex]y\cdot z=100[/tex]We find the following numbers:
[tex]a=7,\\y=10, \\b=7, \\z=10[/tex]
Thus, we have:
[tex](7x+10)(7x+10)[/tex]
Substitute back [tex]x=m^2[/tex] to get your final answer:
[tex](7m^2+10)(7m^2+10)=\boxed{(7m^2+10)^2}[/tex]
tell whether the ordered pair is a solution of the equation! please help i will mark you brainliest
Answer:
the answer is
yes to 7 and no to 10
Step-by-step explanation:
7. y = 3x---------> 2*3 = 6
10. y = 7x+2--------------> 2*7=14--> 14+2 = 16
16 does not equal 0
In the figure, AB is divided into equal parts. The coordinates of point A are (2, 4), and the coordinates of point Bare (10,6). Match each pair
of coordinates to the corresponding point on AB
(4,4,5)
D
(4,4.75)
E
(9,5.75)
H
(8,5.75)
(8,5.5)
(5,4.75)
(7,5.25)
Answer: D = 4, 4.5
E = 5, 4.75
H = 8, 5.5
I = 9, 5.75
Step-by-step explanation:Gang
The coordinates of the corresponding points are given below.
C ⇒ (3, 4.25)
D ⇒ (4, 4.50)
E ⇒ (5, 4.75)
F ⇒ (6, 5)
G ⇒ (7, 5.25)
H ⇒ (8, 5.50)
I ⇒ (9, 5.75)
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is the m:n ratio, finding the mid-point of the line, etc.
AB is separated into equal sections in the picture. Point A's coordinates are (2, 4), and Point Bare's coordinates are (10,6).
There are eight sections of line AB. Then the rise in abscissa after each segment is calculated as,
⇒ (10 - 2) / 8
⇒ 8 / 8
⇒ 1
Then the rise in ordinate after each segment is calculated as,
⇒ (6 - 4) / 8
⇒ 2 / 8
⇒ 0.25
Then the coordinate of the points is written as,
C ⇒ (3, 4.25)
D ⇒ (4, 4.50)
E ⇒ (5, 4.75)
F ⇒ (6, 5)
G ⇒ (7, 5.25)
H ⇒ (8, 5.50)
I ⇒ (9, 5.75)
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
#SPJ7
Which product is represented by the model below
Answer:
A. 3/8*2=6/8
Step-by-step explanation:
Think about a whole number as (whole number)/1
(2/1)
Then multiply
3/8*2/1=6/8
Hope that helps!
I NEEED NEED NEED HELP
Answer:
The answer for this question is 42
(-1) × (-1) × (-1) × (-1) x (-1)
( - 1 )^5 = - 1
.....................
.....................
.....................
Answer:
the answer is -1 have a nice day
If h(x) = x - 7 and g(x) = x², which expression is equivalent to (gºf)(5?
O (5-7)2
(5)²-7
O (5)? (5 – 7)
O (5-7) x²
Answer:
(5^2)(5-7)
Step-by-step explanation:
So we know h(x)=x-7.
We also know g(x)=x^2
We need to plug in these values for (g*h)(5)
This would equal:
((x-7)*x^2)(5)
Since parthese can also be considered multipcation symbols, we can think of this as:
(x-7)(x^2)(5)
Lets distrubute the 5 to all the x's:
(5-7)(5^2)
Which is:
([tex]5^{2}[/tex])(5-7)
This looks like answer C.
Hope this helps!
solve the following equation 4 x + 10 = 66
-> 4x= 66-10
-> 4x= 56
-> x= 56/4
-> x= 14
mark me brainliestttt plsss :)))
Answer:
x = 14.
Step-by-step explanation:
4x + 10 = 66
4x + 10 - 10 = 66 - 10
4x = 56
x = 56/4 = 14.
Please help I am super confused and would really appreciate it ♥️♥️♥️♥️
x---- independent variable
f(x)--- dependent variable(can also be "y")
The dependent variable (fx) is the output or you can say... For every value of the independent variable (x)...There's a unique value for the dependent variable.
Ok... Lemme explain
Say you have an equation
f(x)=2x+1
let x be take value from all natural Numbers (1,2,3..….)
When x is 1
f(x) = f(1) = 2(1)+1
=3
when x is 2
f(x)=f(2) = 2(2)+1 =5.
So for every x value... There's a unique value for f(x).
You dig?
Now
let's proceed to your question.
We're already given tbe values of x and f(x)
What we now need to find is the equation that corresponds to the values being gotten
From the table
When x =1 ...….f(x)=8
When x=2 .........f(x) = 32
When x=3 ...........f(x)=128
Etc
Which equation from the options will give you these values of f(x)???
You're gonna have to test run it quickly by puttinh values of x and see if they'll give the corresponding value of f(x).
Fun right?
OK. From Observation....
OPTION A WILL DO THE JOB.
f(x)=2.4^t where "t" represents x in this case.
Input your values of x in this
You'll get the exact f(x) value
Eg
when x= 1... f(x)= 2.4¹ =8
x=2 ..….f(x) = 2. 4² = 2.16 = 32.
OPTION A IS OUR ANSWER.
HAVE A GREAT DAY BRO!
Find the volume of this square
based pyramid.
8 cm
6 cm
[? ]cm3
Answer:
the answer would be 128cm³
Step-by-step explanation:
have a great rest of ur day
Answer:
96cm
Step-by-step explanation:
-2x^2+6x+1=-3x^2 nearest tenth solve to the nearest tenth
marks)
9 (b). The first two terms of an arithmetic progression are shown.
р
5p
The sum of the first three terms is 90
Work out the value of p.
9514 1404 393
Answer:
p = 6
Step-by-step explanation:
The difference between the first two terms is ...
5p -p = 4p
Since this is an arithmetic sequence, the next term will be 4p more than the last term:
5p +4p = 9p
Then the sum of the first three terms is ...
p + 5p + 9p = 90
15p = 90 . . . . . . . . . . collect terms
p = 6 . . . . . . . . . . . . divide by 15
_____
The first three terms are 6, 30, 54.
maths question 11 divided by 4 please give me the answer in decimal as fast as u can
2.75
Step-by-step explanation:
[tex]\sf\purple{2.75}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{11}{4} \\ = 2.75[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]
Which equation is part of the same family as 5×4 = 20
Answer:
4x5=20
20 divided by 5 = 4
Step-by-step explanation:
Answer:
20 ÷ 4 = 5 and 20 ÷ 5 = 4 also 4 x 5 = 20
Step-by-step explanation:
Please help and hurry!
Step-by-step explanation:
6.5+6.5=diameter
Answer:
13 cm
Step-by-step explanation:
The diameter is twice the radius
The radius is 6.5 cm
diameter = 2 * 6.5 = 13 cm
Pizza Uno offers 2/3 of a small pizza for $3.50. Pizza Duo offers % of a small pizza for $4.20. How much does each charge for a whole small pizza?
Show your work and remember to answer the question.
Answer:
Pizza Uno offers $5.25 for a small pizza and Pizza Duo offers $5.60 for a small pizza.
Step-by-step explanation:
For Pizza Uno:
If 2/3 of a Pizza costs $3.50, divide it by 2.3.50 ÷ 2 = 1.75For each 1/3 it costs $1.75Multiply 1.75 by 3 to get a whole pizza.1.75 × 3 = 5.25For pizza Duo: (the "%" is actually 3/4)
If 3/4 of a pizza costs $4.20, divide it by each 1/4 you get (3).4.20 ÷ 3 = 1.40Each fourth (1/4) costs $1.40 eachMultiply 1.40 by 4 to get a whole pizza1.40 × 4 = 5.60Which of the following have
a value equal to [-12]?
Answer:
option 3) ii, iv, v
Step-by-step explanation:
|-12| means write the absolute value, which means just the number without the sign.
Therefore |-12| = 12
So, ii. 12
iv. |12| is also = 12
v. -( -12) is also = 12
Answer:
12.00000000000000000