Answer:
Substitute P=7500, r=0.053 and t=1 in equation (1). Therefore, the balance of the loan be after one year is $7897.5
Is 6km bigger then 54,000mm?
Answer:
Yes
Step-by-step explanation:
To answer this question, we will need to know how many millimeters are in a kilometer.
1 km = 1,000,000 mm
Therefore, 6km is WAY bigger than 54,000 mm
A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television each weekday to be 2. 7 hours with a standard deviation of 0. 4 hours. Jonathan believes that his football team buddies watch less television than the average American. He gathered data from 15 football teammates and found the mean to be 2. 3. Which of the following shows the correct z-statistic for this situation? -3. 87 -0. 26 3. 23 5. 22.
The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
How to find the z score (z statistic) for the sample mean?If we're given that:
Sample mean = [tex]\overline{x}[/tex] Sample size = n Population mean = [tex]\mu[/tex] Sample standard deviation = sThen, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]
If the sample standard deviation is not given, then we can estimate it(in some cases) by:
[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
where [tex]\sigma[/tex]population standard deviation
For this case, we're specified that:
Sample mean = [tex]\overline{x}[/tex] = 2.3Sample size = n = 15Population mean = [tex]\mu[/tex] = 2.7Population standard deviation = [tex]\sigma[/tex] = 0.4Thus, the value of the z-statistic is evaluated as:
[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87[/tex]
Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
Learn more about z statistic here:
https://brainly.com/question/27003351
Will give brainly if right
Answer:
60.61
Step-by-step explanation:
the missing angle is 51 degrees
we can say sin74/x = sin51 / 49
now we just solve for x.
x = 60.61
(
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on a number line
Answer:
I think your adopted and nobody loves you
Step-by-step explanation:
explain whether each equation is a linear equation.
Answer:
3. Not linear
4. Linear
Step-by-step explanation:
3. The equation has an exponent on the x. Since x is squared the graph is a parabola. The graph is a curve, not a line, so it is not linear.
4. Both the x and y have no exponent (which is an exponent of 1) The graph will be a line. This is a linear function.
show work please and no links
Answer:
man it’s one in the morning and your picture is blurry a f
Step-by-step explanation:
students were grouped into 4 classrooms with an average of 33.5 students per classroom. if the students were regrouped into 5 classrooms, what would be the average number of students in each room?
Answer:
26.8
Step-by-step explanation:
Because 33.5 was the average of how many students were in a classroom (if there were 4 classrooms), then 33.5 is can somewhat be the average of how many students were in one classroom; 1/4 of the classrooms can hold an average of 33.5.
Total students that were divided into 4 classrooms :
33.5 × 4 = 134
So if there is 134 students that will be grouped into 5 different classrooms, divide 134 by 5 to find the average amount of students that will be grouped.
134 ÷ 5 = 26.8
So, the average amount of students that will be grouped if they were divided into 5 classrooms would be 26.8 .
Hope this helped !
The figure1 can be transformed to create figure 2 using a single transformation which transformation can be used to accomplish this
The figure 1 can be transformed to create figure 2 by reflecting across the y axis.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, reflection and dilation.
The figure 1 can be transformed to create figure 2 by reflecting across the y axis.
Find out more on transformation at: https://brainly.com/question/1462871
Please answer these questions:
a) What are the 2 features that make this shape a square?
b) A quadrilateral has no pairs of parallel sides. What 2 shapes could this be?
c) A triangle has one pair of equal sides and one pair of equal angles. What is it called?
Answer:
A. 1. The sum of all interior angles is equal.
2. All sides are equal in length.
B. Trapezium.
C. isosceles triangle.
The amount of a radioactive substance remaining after t years is given by the function , where m is the initial mass and h is the half-life in years. cobalt-60 has a half-life of about 5.3 years. which equation gives the mass of a 50 mg cobalt-60 sample remaining after 10 years, and approximately how many milligrams remain? ; 13.5 mg ; 34.6 mg ; 0.2 mg ; 4.6 mg
The required equation f(10) = 13.52 mg remains.
We have given that ,
m is the initial mass and h is the half-life in years. cobalt-60 has a half-life of about 5.3 years. which equation gives the mass of a 50 mg cobalt-60
What is the fromula for he amount of a radioactive substance remaining after t years?The amount of a radioactive substance remaining after t years is given by the function
[tex]f(t)=m(0.5)^{t/h}[/tex]............ (1),
where m = initial mass and h= half-life in years.
Now, for Cobalt-60, h = 5.3 years, m = 50 mg and t = 10 years,
then from equation (1) we get,
[tex]f(10)=50(0.5)^{10/5.3}[/tex]
Therefore the required equation f(10) = 13.52 mg .
To learn more about the mass of radioactive substance visit:
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Answer:
The required equation f(10) = 13.52 mg remains.
We have given that ,
m is the initial mass and h is the half-life in years. cobalt-60 has a half-life of about 5.3 years. which equation gives the mass of a 50 mg cobalt-60
What is the fromula for he amount of a radioactive substance remaining after t years?
The amount of a radioactive substance remaining after t years is given by the function
............ (1),
where m = initial mass and h= half-life in years.
Now, for Cobalt-60, h = 5.3 years, m = 50 mg and t = 10 years,
then from equation (1) we get,
Therefore the required equation f(10) = 13.52 mg .
To learn more about the mass of radioactive substance visit:
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parts of an algebraic expression separated by plus or minus signs are
Answer: called tthe term of an algebraic expression.
Step-by-step explanation: We know an algebraic expression is a collection or combination of constant and variables of one or more terms, which are separated by the fundamental operations (+, –, × and ÷).Some of the examples of algebraic expression are 7b + 5m, 5x + 3y + 10, 5x/y + 3, x + y + z, etc.Terms of an algebraic expression:Each part of an algebraic expression which are separated by plus sign (+) or minus sign (-) is called the term of an algebraic expression. It’s important to remember that the division sign (÷) or multiplication sign (×) does not separate the terms of an algebraic expression.Examples of algebraic expressions and their terms:
(i) x + 10
We observe that the number of terms used in the expression x + 10 is 2. The terms are x and 10.
(ii) 5m + 2n - 7
We observe that the number of terms used in the expression 5m + 2n – 7 is 3. The terms are 5m, 2n and 7.
(iii) 3a/b
We observe that the number of term used in the expression 3a/b is 1. The term is 3a/b.
(iv) 3xy + 7xz + 2yz - 6
We observe that the number of terms used in the expression 3xy + 7xz + 2yz - 6 is 4. The terms are 3xy, 7xz, 2yz and 6.
) 2abc + 1
We observe that the number of terms used in the expression 2abc + 1 is 2. The terms are 2abc and 1.
Therefore, the algebraic expressions are either simple or compound.
(i) Simple algebraic expressions consist of one term.
(ii) Compound algebraic expressions consist of two or more terms.
y=-3х +6
у= 9
What is the solution to the system of equation
Answer:
The answer to your problem is x=-1,y=9
Step-by-step explanation:
(-1,9)
A cylinder has a base diameter of 16cm and a height of 20cm. What is its volume in cubic cm
Answer:320 cubic cm
Step-by-step explanation: if you multiply 16x20m you get 320 cm
Solve these equation
4(3-x)=(1-2x)
To attempt this algebraic equation we will be multiplying 4 to (3 - x) bracket so as to form the term on L.H.S.
[tex]:\implies\tt{4(3 - x) = (1 - 2x)}[/tex]
[tex]:\implies\tt{(12 - 4x) = (1 - 2x)}[/tex]
[tex]:\implies\tt{12 - 4x = 1 - 2x}[/tex]
Combining like terms, we get,
[tex]:\implies\tt{12 - 1 = - 2x + 4x}[/tex]
[tex]:\implies\tt{11 = 2x}[/tex]
[tex]:\implies\tt{2x = 11}[/tex]
[tex]:\implies\tt{x = \frac{11}{2} }[/tex]
[tex]:\implies\tt{x = 5.5}[/tex]
The value of x is 5.5Hey there!
4(3 - x) = (1 - 2x)
4(3) + 4(-x) = 1 - 2x
12 - 4x = 1 - 2x
-4x + 12 = -2x + 1
ADD 2x to BOTH SIDES
-4x + 12 + 2x = -2x + 1 + 2x
SIMPLIFY IT!
-2x + 12 = 1
SUBTRACT 12 to BOTH SIDES
-2x + 12 - 12 = 1 - 12
SIMPLIFY IT!
-2x = -11
DIVIDE -2 to BOTH SIDES
-2x/-2 = -11/-2
SIMPLIFY IT!
x = 11/2
Therefore, your answer should be:
x = 11/2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Help this is due in 15 mins!
Answer:
Area of the rectangle = 20 square units
Area of left triangle = 8 square units
Area of right triangle = 6 square units
Area of whole figure = 34 square units
Step-by-step explanation:
Alright, area of a rectangle is Base · Height. The base of the rectangle is 5 units and the height is 4 units. 5 · 4 = 20 square units.
Area of a triangle is (Base · Height)/2. The triangle on the left is 4 units tall and 4 units wide. 4 · 4 ÷ 2 = 8 square units.
The triangle on the right is 4 units tall and 3 units wide. 4 · 3 ÷ 2 = 6 square units.
To get the area of the whole figure, you can just add the area of all three shapes. 20 + 8 + 6 = 34 square units.
Hope this helps! :)
Answer:
Rectangle's area;
Length: 4
Width: 5
Formula for area of rectangle;
A = L*W
Replace values:-
A = 4(5)
A = 20.
Left triangle's area;
Base = 4
Height: 4
Formula for area of triangle;
A = BH x 1/2
Replace values:-
A = 4(4) x 1/2
A = 16 x 1/2
A = 16/2
A = 8.
Right triangle's area;
Base = 3
Height: 4
Formula for area of triangle:
A = BH x 1/2
Replace values:-
A = 3(4) x 1/2
A = 12 x 1/2
A = 12/2
A = 6.
Add all the areas we've found so far to get the figure's total area:
20 + 8 + 6
= 34.
X= ___ Degrees? Will Mark Brainliest, Please Help!!!
solve all attached below for 100 points.
Answer:
53°
Step-by-step explanation:
Can someone please help me out with this question?
Answer:
B and B
Step-by-step explanation:
For the first problem, the range is simply the data set rearranged from smallest to largest.
For the second problem, you just have to cross multiply each variable in order to expand the equation and get an answer.
The answer for that one is [tex]12x^{3} -42x^{2} +8x+55[/tex]
Each letter in this equation represents a unique digit. If U stands for 8 and the
other numbers used are 1 through 4, what is one possible answer?
Answer:
4x2=8
Step-by-step explanation:
This equation is simple and easy cause its base sick math
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer:
top:32
bottom:73.5
Step-by-step explanation:
no need to rate or give brainlyest just wanted to help
Find the 12th term of the geometric sequence 1, -4, 16,
Answer:
a₁₂ = - 4194304
Step-by-step explanation:
the nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = [tex]\frac{-4}{1}[/tex] = - 4 , then
a₁₂ = 1 × [tex](-4)^{11}[/tex] = - 4194304
poiuytredfghjkl........
Answer:
yes you are correct
Step-by-step explanation:
not sure what you mean but yea
can anyone help me with this question, i dont really understand how to do pls help me
there you goo :)) on the chain up on the left from 3 to 48 they keep multiplying by 2, and the other one, they keep subtracting by 7
Which angle is supplementary to 6
Answer: Angle 3
Step-by-step explanation:
Determine the solution to the system of equations below.
x - 3y = 1
3x-5y = 11
Pls answer for 50 brainlist!!
Answer:
[tex]\boxed{\sf{x=7 \quad y=2}}[/tex]
Step-by-step explanation:
To solve this problem, isolate it on one side of the equation.
x-3y=1 and 3x-5y=11x-3y=1: x=1+3y
x=1+3y
Substitute.
x=1+3y= 3(1+3y)-5y=11
Solve.
3+4y=11
Subtract by 3 from both sides.
3+4y-3=11-3
Solve.
11-3=8
Rewrite the problem down.
4y=8
Divide by 4 from both sides.
4y/4=8/4
Solve.
8/4=2
y=2
x=1+3y
x=1+3*2
Solve.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract1+3*2
Multiply.
3*2=6
Add.
1+6=7
x=7
Therefore, the correct answer is x=7 and y=2.I hope this helps you! Let me know if my answer is wrong or not.
There are books of three different languages on the bookshelves of one section of a library. The three different languages are Chinese, Malay and Tamil. Chinese books make up
6/10
of the books. The number of Malay books is 7 times more than the number of Tamil books. If there are 56 Malay books, how many books are there altogether in this section of the library?
Answer:
There are 160 books in this section of the library
Step-by-step explanation:
to solve this problem you need to set up a ratio.
since there are 7 times Malay books the number of Tamil books, you can say that
x = # of Tamil books
7x = # of Malay books
next, you know that there are 56 Malay books so you can substitute.
7x = 56
x = 56/7
x = 8
x = # of Tamil books
8 = # of Tamil books
now you know that there are 56 Malay books and 8 Tamil books. Chinese books make up 6/10 of the library so the other languages must add up to 4/10 of the books.
56 + 8 = 4/10 of the total books
64 = 4/10 of total books
if you call the total books T you can make this equation:
64 = 4/10T
64 * 10/4 = T
160 = T
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x - 4|?
Answer:
right... C.
Step-by-step explanation:
[tex]\sqrt{180}=a\sqrt{b}[/tex]
please help
What is the surface area of the box?
Answer:
54cm²
Step-by-step explanation:
2(3x6) + 2(6x1) + 2(3x1)
= 54cm²
The difference of x and 7 is at most -28. Translate the sentence into an inequality
Answer:
x - 7 [tex]\leq[/tex] -28
Step-by-step explanation:
I guarantee you that this is correct. It's pretty simple to understand.
Please mark Brainliest. :)
Deshi has 427 marbles and Elaheh has 394 marbles Deshi wants to give 125 marbles to his little brother how many total marbles will Deshi and Elaheh have after this?
Answer: Deshi will have 302 marbles and Elaheh will have 519.
Step-by-step explanation:
Deshi's Marbles will subtract 125.
427 - 125 = 302.
Elaheh's Marbles will add 125.
394 + 125= 519.