Answer:
1 : 4 1/2 :: 8 1/5 : x proportion
x = (4 1/2)(8 1/5) product of means/extremes
x = (9/2)(41/5) change improper fraction
x = 369/10 multiply
x = 36.9 change to decimal
Marcus is throwing a party, he is expecting 150 guests at the party. the cost per person for food is $30 dollars. how much money does marcus need to pay for food?
Answer: 4500
Step-by-step explanation:
A data set lists weights (grams) of a type of coin. those weights have a mean of g and a standard deviation of g. identify the weights that are significantly low or significantly high.
The weights that are significantly low z₁ = 5.361308 grams and significantly high z₂ = 5.48057 grams
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
z -score = (z₁ - μ₀) / σ
where μ₀ is the mean and σ the standard deviation.
Consider a value to be significantly low if its z score is less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.
Here μ₀ = 5,37215 and σ = 0.05421
Substitute z -score = -2
⇒ -2 = (z₁ - 5,37215)/0.05421
⇒ (-2)(0.05421) = z₁ - 5.37215
⇒ -0.10842 = z₁ - 5.37215
⇒ z₁ = 5.37215 - 0.010842
⇒ z₁ = 5.361308
And if z = 2
Here μ₀ = 5,37215 and σ = 0.05421
Substitute z -score = 2
⇒ 2(0.05421) = z₂ - 5.37215
⇒ 0.10842 = z₂ - 5.37215
⇒z₂ = 5.37215 + 0.10842
⇒ z₂ = 5.48057
Therefore, the weights that are significantly low z₁ = 5.361308 grams and significantly high z₂ = 5.48057 grams
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Your question is incomplete, probably the complete question is:
A data set lists the weights (grams) of a type of coin. Those weights have a mean of 5.37215 g and a standard deviation of .05421 g. Identify the weights that are significantly low or significantly high.
Consider a value to be significantly low if its z score is less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.
Which of the following is equivalent to (3a + 5b) + 7c?
3a + (5b + 7c)
3a(5b + 7c)
7c(5b + 3a)
8ab + 7c
Answer:
3a + (5b + 7c)
Step-by-step explanation:
The answer cannot be 3a(5b +7c) because when the number is immediately before the brackets, it signifies multiplication. therefore the 3a(5b+7c) would be equivalent to 15ab+21ac
the answer cant be 7c(5b+3a) because of the same explanation as the one above, therefore 7c(5b+3a) would be equivalent to 35cb+21ca
the answer finally cant be 8ab+7c because it means that one added 3a and 5b giving you 8 but it cannot be ab because ab is equivalent to a×b, hence, one cant put a multiplied algebraic expression with an added number
The equation equivalent to the the expression (3a + 5b) + 7c is 3a + (5b+7c). Hence, the first option is the correct one.
What is an expression?In mathematics, expressions are assertions that must contain at least two words with variables or terms with numbers in them, or both, and connect them with an operator. It is possible for the mathematical operators to be addition, subtraction, multiplication, or division.
For instance, the equation x + y has the terms x and y with an addition operator in between. Numerical expressions, which just contain numbers, and algebraic expressions, which also include variables, are the two types of expressions used in mathematics.
The first option is correct because it does not affect the main equation rest are not the same as the equation.
For example, let's take the second equation :
3a (5b + 7C)
After solving this option we get 15ab + 21 ac so it is incorrect because it changed the main expression.
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the height of the wall is half the length. you know the perimeter of the rectangular wall is 48 feet. What is the area of the wall?
Answer:
128 feet²
Step-by-step explanation:
48 = x + x + 2x + 2x = 6x
x = 8
x × 2x = 8 × 16 = 128
Compute the value of the discriminate and give the number for solutions of the quadratic equation 8x^2+3x-2=0
Solve the inequality.
3w-5>2w+w-7
1. w-2
2. All real numbers
3. No solution
4. w-2
Answer:
2. All real numbers
Step-by-step explanation:
Hope this helps!
Please mark as brainliest if correct!
What is “Three less than twice a number x is less than twenty “?
Answer:
3-x^2-20
Step-by-step explanation:
That is how you convert it from word form to standard form.
Solve the equation
3x/3x-1 + 2/x = 1
Answer:
x= 2/7
Step-by-step explanation:
Multiply both sides by the common denominator
3x^2 +6x−2=3x^2 −x
Move everything to the left side.
3x^2+6x-2-3x^2+x=0
Simply.
7x-2=0
Separate the cosntants and variables.
7x=0+2
Add or subtract zero
7x=2
Then divide both sides by 7.
7x/7=2/7
Cancel out common factors in the numerator and denominator
x=2/7
Answer:
x = 2/7
Step-by-step explanation:
You want to solve the equation 3x/(3x-1) + 2/x = 1.
SolutionIt works nicely to subtract 1 from both sides, then simplify.
[tex]\dfrac{3x}{3x-1}+\dfrac{2}{x}=1\\\\\dfrac{3x}{3x-1}\cdot\dfrac{x}{x}+\dfrac{2}{x}\cdot\dfrac{3x-1}{3x-1}-\dfrac{x(3x-1)}{x(3x-1)}=0\\\\\dfrac{3x^2+6x-2-3x^2+x}{x(3x-1)}=0\qquad\text{combine terms}\\\\\dfrac{7x-2}{x(3x-1)}=0\qquad\text{simplify}\\\\7x-2=0\qquad\text{expression is 0 when numerator is 0}\\\\\boxed{x=\dfrac{2}{7}}\qquad\text{add 2, divide by 7}[/tex]
__
Additional comment
The values x=0 and x=1/3 would make the denominator zero, so are excluded from the domain of the equation. By working the problem this way, we ensure that extraneous solutions do not present themselves.
Write the name of the metric system prefix associated with each mathematical factor. Do not use any hyphens in your answers and do not abbreviate the prefixes. Spelling counts.
The name of the metric system prefix are : 10^-6: micro , 1/100: centi , 0.001: milli, 1000: kilo
In mathematical exponents, prefixes are referred to as the alphabetic names related to the mathematical factors, such as 10⁻⁹: it nano ,10⁻¹²: Pico and so on.In order to identify the prefixes of the metric system, we first convert from factor to exponent form.
such :
10^-6 is micro
1/100 = 0.01x 10^2: centi
0.001 = 1x 10 ^-3 : milli
1000 = 1x 10^3 : kilo
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Write the name of the metric system prefix associated with each mathematical factor. Do not use any hyphens in your answers and do not abbreviate the prefixes. Spelling counts.
10^-6 ______________
1/100 ______________
0.001 _____________
1000 ______________
Select the domain and range of the graph in set-builder and interval notation.
The domain of the graph in set builder notation is; x ≤ -2 or x ≥ 1
The range of the graph in set builder notation is; y ≥ -2 or y ≥ 1
What is the domain and range of the graph?Domain refers to the set of all possible input values and Range refers to the set of all possible output values generated by the function.
Now, from the given graph, we can see that there are two lines. Thus;
Domain of left graph line is; x ≤ -2
Domain of right graph line is; x ≥ 1
Thus, the domain of the graph in set builder notation is;
x ≤ -2 or x ≥ 1
Similarly, the range is as follows;
Range of the left graph line is; y ≥ 1
Range of the right graph line is; y ≥ -2
Thus, the range of the graph in set builder notation is;
y ≥ -2 or y ≥ 1
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Helppppppppooppppppp please
Sam has worn a green shirt on 10 of the last 20 days. Considering this data, how many times would you expect Sam to wear a green shirt in the next 12 days?
Answer:
6 trust me
Step-by-step explanation:
Calculate the riemann sum r(f,p,c)r(f,p,c) for f(x)=xf(x)=x, p={1,1.3,1.6,2}p={1,1.3,1.6,2}, c={1.2,1.45,2
1.545 is the riemann sum of the function .
What does Riemann sum do?
A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.f(x) = x
p = { 1, 1.2 , 1.7 , 2}
c = { 1.1, 1.45,2}
fpr the interval ( 1, 1.2) Δx = 0.2
( 1.2, 1.7 ) Δx = 0.5
( 1.7 , 2 ) Δx = 0.3
R(f, p,c ) = f(1.1) 0.2 + f( 1.45)0.5 + f(0)0.3
= (1.1) × 2 + ( 1.45) ×( 0.5) + 2 × 0.3
= 0.22 + 0.725 + 0.6
= 1.545
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The speed of light is about 2.998 x 10^8 meters per second. The speed of sound is about 343 meters per second. About how many times faster
is light than sound?
Light is about 874052.5 times faster than sound
Calculating speedFrom the question, we are to determine the magnitude by which light is faster than sound
From the given information,
The speed of light is about 2.998 x 10⁸ meters per second.
and
The speed of sound is about 343 meters per second.
To determine how many rimes faster the speed of light is than the speed of sound, we will divide the speed of light by the speed of sound
That,
The magnitude by which light is faster than sound = (2.998 x 10⁸) / 343
The magnitude by which light is faster than sound = 874052.5
Hence, light is about 874052.5 times faster than sound
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please help thank youuu
Answers are in bold
f(5) = -77g(-4) = -4======================================================
Explanation:
The x is a placeholder for a number.
When we say f(5), we mean f(x) when x = 5
So we'll replace every copy of x with 5 like so...
[tex]f(\text{x}) = -3\text{x}^2 - 2\\\\f(5) = -3(5)^2 - 2\\\\f(5) = -3(25) - 2\\\\f(5) = -75 - 2\\\\f(5) = -77\\\\[/tex]
Notice how I used the order of operations PEMDAS after x = 5 was plugged in.
A similar situation happens with g(-4). We'll plug x = -4 into g(x) to get the following:
[tex]g(\text{x}) = 2\text{x} +4\\\\g(-4) = 2(-4) +4\\\\g(-4) = -8 +4\\\\g(-4) = -4\\\\[/tex]
You can use a graphing calculator or graphing software (eg: Desmos or GeoGebra) to confirm these answers quickly.
One year on Venus is equivalent to 224.7 days on Earth. How many days on Earth, in decimal from, are equivalent to 9 ½ years on Venus?
By using simple rule of three, a period of 9.5 years on Venus is equivalent to 2134.65 terrestrial days.
How many terrestrial days are equivalent time in Venus?
One year on Earth is equivalent to 365.3 days and one year on Venus is equivalent to 224.7 days, the equivalent terrestrial time of 9.5 years on Venus is found by simple rule of three:
x = 9.5 yr × (224.7 days / 1 yr)
x = 2134.65 days
A period of 9.5 years on Venus is equivalent to 2134.65 terrestrial days.
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convert 0.000000000000000000000000000000910938356 into scientific notation
e^(iπ) = ?
e^(iπ) + 1 = ?
Identify the type of data (qualitative/quantitative) and the level of measurement for the assets of respondents in a survey. explain your choice.
Assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.
What is a Qualitative and a Quantitative Data?Qualitative properties are properties that are observed and can generally not be measured with a numerical result.
Examples of quantitative data include, number of students in a class, weight of students in a class, etc.
Quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value. This data is any quantifiable information that researchers can use for mathematical calculations and statistical analysis to make real-life decisions based on these mathematical derivations.
Examples of qualitative data include hair color, religion, nationality, etc.
Thus, assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.
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*PLS HELP*
A student is given the rectangle and the square shown. The student states that the two figures have the
same perimeter. Is the student correct? Complete the explanation to explain your reasoning.
X+4
X
X+2
X+2
The student is (select) The perimeter of a figure is found by (select)
For the rectangle, the perimeter is
. For the square, the perimeter
is
the lengths of its sides.
Answer:
The student is correct. The perimeter of a figure is found by adding the length of it's sides. For the rectangle, the perimeter is 4x+8. For the square, the perimeter is 4x+8
Step-by-step explanation:
Perimeter for rectangle:
2(x+4) + 2x
2x + 8 + 2x
4x + 8
Perimeter for the square:
4(x+2)
4x + 8
please need this asap!
Answer:
down below
Step-by-step explanation:
Top left: X is greater than or equal to 3. Top right: X is less than or equal to 3. Bottom left: X is greater than 3. Bottom right: X is less than 3.
The greater than or equal to sign and the less than or equal to sign has a closed circle because it is marking the point and moving forward or back. Ex: less than or equal to 3. It would be a closed circle because it is the specific point and what ever is beyond or behind it. The less than or greater than sign would have a closed circle because it is only what is beyond or behind the certain number.
Hope this helps! :)
What are the prime factors of 4325
can someone help? i think its false but is cos to the negative one the same as sec?
Answer:
True
Step-by-step explanation:
Cos^-1 = 1/ cos = sec x
Answer: True
Step-by-step explanation:
When the cos(ine) function is raised to the negative first power, we find the reciprocal. This will be the case for most functions and numbers.
which of the following defines infinite sequence?
Answer:
An infinite sequence is a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integer s {1, 2, 3, ...}. Examples of infinite sequences are N = (0, 1, 2, 3, ...) and S = (1, 1/2, 1/4, 1/8, ..., 1/2 n , ...)
HOPE IT'S HELPS YOUWithout simplifying the expression, determine weather [tex]\frac{1}{50}[/tex] - [tex]\frac{1}{51}[/tex] is a positive or a negative number.
Three blocks are shown:
Block A
7 cm
3 kg
1 cm
3 cm
Which statement is correct?
Block B
7 cm
4 kg
111 cm
3 cm
Block C
1 cm
2 kg
7 cm
3 cm
Answer:the answer is 4 kg
Step-by-step explanation:
i can¡ explane u i see the rpta
Identify the property that justifies the statement. OP ≅ RS, so RS ≅ OP
Please Hurry!!!!
Answer: Sym. Prop. of ≅
Step-by-step explanation:
no explanation
Julie had $237 to spend. She returned a calculator and received a $128 refund. She then bought a chair for $62. How much money in dollars and cents did Julie have to spend after buying the chair?
Answer:
$303 0cents
Step-by-step explanation:
237 + 128 -62 = 303
The amount Julie has to spend after buying the chair is $303.
What is Arithmetic?The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations.
As per the given data:
We are given the details of the transactions that Julie did.
We have to find out the remaining amount of money that is left with Julie after the transactions.
Initial amount that Julie had to spend (A) = $237
Amount received as a refund after returning that calculator (B) = $128
Price that had to be paid to buy a chair (C) = $62
For finding out money in dollars and cents did Julie have to spend after buying the chair:
= A + B - C
= 237 + 128 - 62
= 365 - 62
= 303
The amount Julie has to spend after buying the chair is $303.
Hence, The amount Julie has to spend after buying the chair is $303.
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Evaluate the expression for the given values of the variables.
-k²-(4k - 7n) + 3n; k= -2 and n=-5
For k = -2 and n=-5, -k²-(4k-7n) + 3n=
(Simplify your answer.)
the answer for given expression is 54
How do you define expression in math?
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.
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
the given expression is
[tex]-k^2 - (4k-7n)+3n\\-k^2 -4k +7n+3n\\put k = -2 and n=5\\-( -2)^2 - 4(-2) + 10 *5\\-4 +8+50\\54the answer for given expression is 54[/tex]
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I need help with this its still confusing
Answer:
64 and 13 I hope this helps
Step-by-step explanation:
