Answer:
Explanation:
First, we write the two numbers in a way that we can compare them easily.
\(\begin{gathered} 39\text{ million}=39,000,000 \\ 10^7=10,000,000 \end{gathered}\)We can see that 10⁷ is 10 million.
Therefore:
\(39,000,000>10^7\)The population of Carlifornia is g
please helpppppppppppppppppppp
Answer:
I got c
Step-by-step explanation:
18 minus plus 5 plus 7 is -30 so it dont represent zero
Answer:
C
Step-by-step explanation:
Jan. 2 Purchased merchandise on account from Nunez Company, $20,000, terms 3/10, n/30. (Lily uses the perpetual inventory system.)
Feb. 1 Issued a 9%, 2-month, $20,000 note to Nunez in payment of account.
Mar. 31 Accrued interest for 2 months on Nunez note.
Apr. 1 Paid face value and interest on Nunez note.
July 1 Purchased equipment from Marson Equipment paying $10,000 in cash and signing a 10%, 3-month, $63,600 note.
Sept. 30 Accrued interest for 3 months on Marson note.
Oct. 1 Paid face value and interest on Marson note.
Dec. 1 Borrowed $22,800 from the Paola Bank by issuing a 3-month, 8% note with a face value of $22,800.
Dec. 31 Recognized interest expense for 1 month on Paola Bank note.
2. Suppose the 90% confidence interval for the mean SAT scores of applicants at a business college is given by [1690, 1810]. This confidence interval uses the sample mean and sample standard deviation based on 25 observations. What are the sample mean and sample standard deviation used for this interval
Answer:
The sample mean used for this interval is 1750.
The sample standard deviation used for this interval was of 175.34
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the subtraction of these two bounds divided by two.
In this question:
Lower bound: 1690
Upper bound: 1810
Sample mean
\(\frac{1690 + 1810}{2} = 1750\)
The sample mean used for this interval is 1750.
Sample standard deviation:
The first step is finding the margin of error:
\(M = \frac{1810 - 1690}{2} = 60\)
Now we have to develop the problem a bit.
We want the sample standard deviation, so we use the T-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.9}{2} = 0.95\). So we have T = 1.711
The margin of error is:
\(M = T\frac{s}{\sqrt{n}}\)
We have that: \(M = 60, T = 1.711, n = 25\)
We have to find s
\(M = T\frac{s}{\sqrt{n}}\)
\(60 = 1.711\frac{s}{\sqrt{25}}\)
\(1.711s = 60*5\)
\(s = \frac{60*5}{1.711}\)
\(s = 175.34\)
The sample standard deviation used for this interval was of 175.34
Can you explain to me how did we get the answer
The end behavior of the polynomials are as follows;
(a) y = x³ - 9·x² + 8·x - 14
End behavior; y → ∞ as x → ∞
\({}\) y → -∞ as x → -∞
(b) y = -8·x⁴ + 13·x + 800
End behavior; y → -∞ as x → -∞
\({}\) y → -∞ as x → ∞
What is the end behavior of a a polynomial?The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.
The factors that effect the end behavior of a polynomial are;
The degree of the polynomial, (even or odd)
The sign of the leading coefficient of the polynomial (positive or negative)
The leading coefficient is the coefficient of the term with the highest degree.
(a) The polynomial, function, y = x³ - 9·x² + 8·x - 14
The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;
y tends to positive infinity as x tends to positive infinity
y tends to negative infinity as x tends to negative infinity
End behavior;
y → ∞ as x → ∞
y → -∞ as x → -∞
(b) The polynomial function can be expressed as follows;
y = -8·x⁴ + 13·x + 800
The above polynomial of degree 4 is an even degree polynomial
The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative
The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;
y-values approaches negative infinity as x approaches negative infinity
y-values approaches negative infinity as x approaches positive infinity
End behavior;
y → -∞ as x → -∞
y → -∞ as x → ∞
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A hose fills a hot tub at a rate of 4.41 gallons per minute. How many hours will it take to fill a 278-gallon hot tub?
Answer:
The rate of fill up is, Rate = 3.2 Gallons / minute = 3.2 g/min
The hut tub volume is 300 Gallons
You can set up this problem as follows:
Every 3.2 gallons require 1 minute, How many minutes 300 gallons require?
3.2 g 1min
300 g ? min = (300 gallons x 1min/ 3.2 gallons)=(300/32)min
= 93.75 min
A game card handed out at a grocery store states the probabilities of winning a prize: 0.2 for $10, 0.1 for $5, and 0.7 for $0. What is the probability of winning any amount of money?
Answer:
Step-by-step explanation:
To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.
Given the probabilities stated on the game card:
Probability of winning $10 prize = 0.2
Probability of winning $5 prize = 0.1
Probability of winning $0 prize = 0.7
To find the probability of winning any amount of money, we add these probabilities together:
0.2 + 0.1 + 0.7 = 1
The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.
Therefore, the probability of winning any amount of money in this game is 100%.
Hope this answer your question
Please rate the answer and
mark me ask Brainliest it helps a lot
p is directly proportional to the cube of q
Answer:
p=q^3
Step-by-step explanation:
The formula for p in terms of q is p = 0.4 q³
What is meaning of Direct Proportion ?Direct Proportion means when one variable changes the other also changes in the same direction by some proportion.
It is given that
p ∝ q³
p = k q³
here k is the proportionality constant
It is also given that when q = 15 , p = 1350
1350 = k * 15³
k = 0.4
Therefore
The formula for p in terms of q is
p = 0.4 q³
The complete question is
p is directly proportional to the cube of q . When , q = 15 , p = 1350
Find a formula for p in terms of q
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HELPPPPPPP ASPPPPPP PLEASE I BGGGGGG YOU !!!! Three students sliced the equation 3(5x -14)=18 in the different ways but each student arrived at the correct answer. Select all of the solutions that shows a correct method for solving the equation
Answer:
balls
Step-by-step explanation:
balls
Find area of trapezium with height 8cm and the sum of its parallel sides as 15cm
Answer:
The Area of the trapezium is \(60cm^2\)
Step-by-step explanation:
Given,
Height (h)= 8cm
Sum of the parallel sides (a+b)= 15cm
Area of trapezium = \(1/2*h*(a+b)\)
=\(1/2*8*15\)
=\(4*15\)
Area of trapezium=60cm^2
Answer: Area = 60 cm²
Step-by-step explanation:
To find the area of a trapezium we use the formula
Area of trapezium = 1/2 (sum of parallel sides) × height
∴ Area = 1/2 ×15 cm × 8 cm
= 60 cm²
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Program x has an annual cost of 35000 and in return is expected
The required number of months are 12 months.
How to find the number of months?The program costs $35,000 per year, so it will cost $35,000/12 per month. The monthly cost is $2916.67, where "M" is the number of months it takes to cover the costs.
The following inequality can be constructed: the number of months required to recover the 35,000 is
2916.87M ≥ 35,000
M ≥ 35,000/2916.67
M ≥ 11.99
Thus, required number of months are 12 months.
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Completer question:
program x costs 35,000 anually but will save company c 40,000 in the first year. how many months will it take the company to recover its costs in program x
PLEASE HELP!!! i’m mid test
Question 16
Round to the nearest tenth, if necessary.
Find the distance between (4, 16) and (12, 27).
Answer:
\(\sqrt{185}\) or 14 (13.6)
Step-by-step explanation:
Compute the distances between
\(\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)
The distances between ↑ are
\(\sqrt{\left(12-4\right)^2+\left(27-16\right)^2}\)
Simplify
\(\sqrt{185}\) or 14
hope this helps
~R3V0
Using the graph below, what would the y-value (range) be for an x-value (domain) of -3?
By looking at the graph of the linear equation, we conclude that the y-value for x = -3, is y = -9
what would the y-value be for an x-value of -3?Here we have the graph of a linear equation. What the graph tells us is "what is the value of y for each value of x".
So, if we want to find the value of y when we have x = -3, then:
We need to find the value x = -3 on the horizontal axis.Then we move vertically upwards (or downwards, depending on the case) until we reach the graphed equation.Once we reached the graphed equation, we move horizontally until we meet the vertical axis.The value at which we meet the horizontal axis gives the value in the range related to the value in the domain from which we started.Following these steps, you should be able to see that, when x = -3, the value of y is -9
So we conclude that the y-value for x = -3, is y = -9
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Positive or negative exponents represesent very small numbers
Answer:
Negative exponents represent very very small numbers ( ex. .0000000006)
Step-by-step explanation:
can i get brainly?
5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
Which description best summarizes the correlation between the calls made and the texts sent?
A. strong negative
D weak positive
B. strong positive
E. no correlation
C. weak negative
Answer:
D strong positive
Step-by-step explanation:
The correlation Coefficient for the scatter plot Given is about 0.59 ; this means that we have a positive correlation between the variables. However, the strength of the relationship could be described as being moderate as it is beyond 0.5 mark. However, since that sont Given in the options, we could conclude that the relationship between calls and text is a strong and positive one. Because the closer a value is to +1 or - 1, the greater the strength of the relationship.
Please help I am so so confused thank you all
y-(-9) = -6(x-(-4)), y = -6x-33
When 1370 subjects were asked, "On how many days in the past 7 days have you felt lonely?" the mean was 1.5 and the standard deviation was 2.16. The margin of error for a 95% confidence interval for the population mean is 0.12. Construct that confidence interval, and interpret it. The confidence interval goes from nothing to nothing. (Round to two decimal places as needed.)
Answer:
Confidence Interval = (1.41, 1.59)
Step-by-step explanation:
To construct a confidence interval for the population mean, we can use the following formula:
Confidence Interval = sample mean ± (margin of error * standard error)
where the standard error is equal to the standard deviation divided by the square root of the sample size.
Given the information provided, we can calculate the standard error as:
standard error = 2.16 / sqrt(1370) = 0.058
Then, we can calculate the margin of error as 0.12.
Substituting these values into the formula, we get:
Confidence Interval = 1.5 ± (0.12 * 0.058)
Confidence Interval = (1.41, 1.59)
Therefore, we can interpret the 95% confidence interval as follows: we are 95% confident that the true population mean of the number of days that people feel lonely in the past 7 days is between 1.41 and 1.59. This means that if we were to take many samples of 1370 subjects and compute the confidence intervals for each sample using the same method, we would expect about 95% of the intervals to contain the true population mean.
please answer i’ll give brainliest !!!
Answer please 10 points
Answer:
3/4 to 9/6
Step-by-step explanation:
Apple juice has 216 grams of sugar for every 8 servings. The soda has 234 grams of sugar for every 9 servings
Answer:
Apple juice contains 1728 g sugar whereas soda contains 1404 g sugar
Step-by-step explanation:
There are 120 students and 10 teachers at a small private school. To keep the same
student to teacher ratio, how many teachers are needed for 240 students?
Answer:
20
Step-by-step explanation:
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Cindy, Inc. sells a product for $10 per unit. The variable expenses are $6 per unit, and the fixed expenses total $35,000 per period. By how much will net operating income change if sales are expected to increase by $40,000?
A) $16,000 increase
B) $5,000 increase
C) $24,000 increase
D) $11,000 decrease
Answer: it is a $16,000 increase
Rewrite the equation by completing the square 2x^2-20x=x^2-19
Answer:
x = -1, 19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of EqualityAlgebra I
Standard Form: ax² + bx + c = 0FactoringMultiple RootsCompleting the Square: -b/(2a)Step-by-step explanation:
Step 1: Define
2x² - 20x = x² - 19
Step 2: Solve for x
[Subtraction Property of Equality] Subtract x² on both sides: x² - 20x = -19Complete the Square [Addition Property of Equality]: x² - 20x + 100 = -19 + 100[Complete the Square] Simplify: (x - 10)² = 81[Equality Property] Square root both sides: x - 10 = ±9[Addition Property of Equality] Add 10 on both sides: x = 10 ± 9Evaluate: x = -1, 19Answer:
Equation: (x - 10)² = 81
Soulotion: x = 10 + 9
Step-by-step explanation:
I tried it on khan academy
Robert painted 4/8 of each tile with green paint. He painted 52 tiles. What is the total amount of tiles that he painted green?
Please show an explanation to solve this problem. Thank you.
Answer:
The answer is 26
Step-by-step explanation:
All we do is multiply 4/8 by 52.
52 = 52/1
52/1 * 4/8 = 208/8
208/8 = 26
So the answer is 26.
Hope this helps! :)
The shape below is a cone.
The base diameter AB = 44 cm.
-
Work out the size of angle AOB.
Give your answer to 2 d.p.
A0
72.3 cm
Not drawn accurately
2
Set up the equation to determine the arc length. Arc length is equal to 2 pi times the arc's radius times (arc's central angle/360), where arc's central angle is expressed in degrees.
What is meant by equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Take a look at the formula 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the word "equal."Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.An equation is a mathematical expression with two equal sides and an equal sign in between. An equation is something like 4 + 6 = 10.To learn more about equation, refer to:
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Sebastian is going to invest in an account paying an interest rate of 1.5% compounded continuously. How much would Sebastian need to invest, to the nearest hundred dollars, for the value of the account to reach $720 in 6 years?
Answer:
700
Step-by-step explanation:
trust me
What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 5.6 cm? Enter your answer as a decimal in the box. radians
The measure in radians for the central angle is approximately 0.7 radians.
To find the measure in radians for the central angle of a circle, we can use the formula:
θ = s / r
where θ is the central angle in radians, s is the intercepted arc length, and r is the radius of the circle.
In this case, the radius is given as 8 cm and the intercepted arc length is 5.6 cm.
Plugging these values into the formula, we have:
θ = 5.6 cm / 8 cm
Simplifying the expression:
θ = 0.7
We may use the following formula to get the centre angle of a circle's measurement in radians:
= s / r
s is the length of the intercepted arc, r is the circle's radius and is the centre angle in radians.
The intercepted arc length in this instance is 5.6 cm, while the radius is specified as 8 cm.
When these values are plugged into the formula, we get:
θ = 5.6 cm / 8 cm
Condensing the phrase:
θ = 0.7
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5(10v-8w+4) as a distributive property
Using distributive property, the solution to the given expression is: 50v - 40w + 20
How to use distributive property?The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
For example:
4(3 + 5)
According to the distributive property, you first have to multiply out the bracket to get:
4*3 + 4*5 = 12 + 20
= 32
Thus:
5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)
= 50v - 40w + 20
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Brody runs a farm stand that sells strawberries and grapes. Each pound of strawberries sells for $2.50 and each pound of grapes sells for $2. Brody made $160 from selling a total of 72 pounds of strawberries and grapes. Graphically solve a system of equations in order to determine the number of pounds of strawberries sold, x,x, and the number of pounds of grapes sold, yy.
The number of pounds of strawberries sold and the number of pounds of grapes sold is 32 and 20 respectively.
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given that the selling price of strawberries each pound = $2.50,
The selling price of grapes each pound = $2
The total earning = $160
Let x is the no of a pound of strawberries and y is the no of a pound of grapes sold, then equation will be,
x = y + 12 and 2.50x + 2y= 160
Solve the equation by substitution method;
x = 32 and y = 20
Therefore, the number of pounds of strawberries sold is 32
the number of pounds of grapes sold is 20.
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