What is the place value of the digit 4 in 6,296.04
The digit 4 in 6,296.04 is in the hundredths place, representing four hundredths or 4/100. This can also be expressed in scientific notation as 4 x 10⁻².
The place value of the digit 4 in 6,296.04 is in the hundredths position. This is because the digit 4 is two places to the right of the decimal point. In a decimal number, the first place to the right of the decimal point is the tenths place, the second is the hundredths place, and it continues with thousandths, ten-thousandths, and so on. Therefore, in the number 6,296.04, the 4 represents four hundredths, or 4/100, which can also be written in scientific notation as 4 × 10⁻².
10 POINTS!!! FULL ANSWER IN STEP BY STEP FORMAT!! ALL PARTS A, B, C, D, E
Algebra question ( Matrices and Determinants ) 20 points
Need help please asap.
What is EC if AC = 12, BC = 5, and DC = 4?
A. 30
B. 9
C. 15
D. 7
"the placement test for a college has scores that are normally distributed with a mean of 600 and a standard deviation of 60.if the college accepts only the top 1% of examinees, what is the cutoff score on the test for admission?"
When i am divided into 22, the remained is one. when i am added to 5, the answer is an even number. what number am i? * 5 7 9 10 4 2/5?
Answer:
Number is 23.
Step-by-step explanation:
We have been given the information when a number is divided by 22 the remainder is 1.
And when it is added to 5 it will give us an even number.
So, the number 23 if we take when divided by 22 it will give the remainder 1.
And when added to 5 it will give 23+5=28 which is an even number.
So, the number is 23.
Which graph shows the same end behavior as the graph of f(x) = 2x6 – 2x2 – 5?
[tex]Given \ function : \ f(x) = 2x^6-2x^2-5[/tex]
In order to find the end behavior of the graph, we need to find the degree of the given function and the leading coefficent.
Degree of the given function is the highest power of the variable.
We have variable x there.
Highest power of x is 6.
So, we can say:
Degree = 6 ( an even degree)
And leading coefficent is the coefficent of highest power term.
We have highest power term is 2x^6.
So, the leading coefficent is : 2 (Positive number)
For even degree and positive leading coefficent, end behaviour is
x --> ∞ f(x) = +∞
x-->-∞ f(x) = +∞
Answer:
The answer is A on edg
Step-by-step explanation:
just took the test
Find the slope of the line graphed below
The slope of the line is 2/3
To find the slope of the line, first choose two points that are on the line. For this example we'll use (0, -4) and (6, 0). Now use the slope formula with these two points to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (0 - -4)/(6 - 0)
m = (0 + 4)/(6 - 0)
m = 4/6
m = 2/3
Anyone know the answer?
Larry bought a trampoline measuring 10 feet by 12 feet. what is the length of the diagonal of the trampoline?
The window is 60 inches wide. What is the width of the window in feet.
What do the graphs of sine and cosine have in common with the swinging you see?
Which reasons did you think of?
Answer:
The high and low points repeat in a pattern.
The cycle repeats at equal time intervals.
The swinging motion is smooth, unabrupt.
The graphs of sine and cosine functions have similarities with the swinging motion such as repeating patterns at equal time intervals and smoothness.
Explanation:The graphs of sine and cosine functions have several similarities with the swinging motion you observe:
Both the high and low points in the graphs of sine and cosine functions repeat in a pattern, just like the motion of a swing repeating from its highest to lowest points.The cycle of both graphs repeats at equal time intervals, just like the swinging motion of a swing that takes the same amount of time to swing back and forth.The swinging motion of a swing is smooth and uninterrupted, just like the graphs of sine and cosine functions.These similarities are because simple harmonic motion, which includes swinging, is closely related to sine and cosine waves.
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The perimeter of a rectangle is 26 inches and its area is 40 square inches. what are its dimensions?
Answer:
The shorter side is 5 inches and the longer side is 8 inches.
Explanation:
We start by listing formulas for solving for the area and perimeter of a rectangle, which will then determine how we find the dimensions we are looking for.
The area of a rectangle is length (l) times width (w), often represented as:
A = l(w), or A = lw
The perimeter of a rectangle is the sum of twice the length and twice the width, often represented as:
P = 2l + 2w
If product of length and width is 40 inches per the rectangle's given area, then a factor pair of 40 must be the dimensions of the rectangle. These values can then be checked to see if they also satisfy the perimeter of the rectangle.
So first, list factors of 40:
1, 40; 2, 20; 4, 10; 5, 8
Now, we plug these pairs into the perimeter equation.
2(1) + 2(40) = 2 + 80 = 82
82 > 26
2(2) + 2(20) = 4 + 40 = 44
44 > 26
2(4) + 2(10) = 8 + 20 = 28
28 > 26
2(5) + 2(8) = 10 + 16 = 26
26 = 26
Therefore, the factors 5 and 8 are what we use. 5 inches by 8 inches are the dimensions.
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Aubrey has a new art box in the shape of a rectangular prism. The box is 5 inches, by 8 inches, by 2 inches. How much volume is not take-up by the eraser if the dimension of the eraser is 5.5 inches^3
volume of the rectangular prism = base area * height
base area = length * breadth
volume of the rectangular prism = length * breadth * height
volume of the rectangular prism = 5*8*2 = 80 inches ^3
volume of taken up by the eraser = 5.5 inches^3
volume that is not take-up by the eraser = 80-5.5 = 74.5 inches^3
A toy company produces two kites whose shapes are geomaetrically similar. Find the length of the missing size of similar kite.
What constant term should be used to complete the square? x 2 - 5x + _____ = 7
In a large population, 61 % of the people have been vaccinated. if 4 people are randomly selected, what is the probability that at least one of them has been vaccinated?
Final Answer:
The probability that at least one of the four randomly selected people has been vaccinated is approximately 0.9606.
Explanation:
To find the probability that at least one of the four randomly selected people has been vaccinated, we can use the complement rule. The complement of "at least one person vaccinated" is "none of the people vaccinated." Then, we subtract the probability of none of them being vaccinated from 1.
Given that 61% of the population has been vaccinated, the probability that a randomly selected person has been vaccinated is [tex](P(\text{vaccinated}) = 0.61\)[/tex].
So, the probability that a randomly selected person has not been vaccinated is [tex]\(P(\text{not vaccinated}) = 1 - P(\text{vaccinated}) = 1 - 0.61 = 0.39\).[/tex]
Now, we can find the probability that none of the four randomly selected people has been vaccinated:
[tex]\[P(\text{none vaccinated}) = (0.39)^4\][/tex]
And the probability that at least one of them has been vaccinated is the complement of this:
[tex]\[P(\text{at least one vaccinated}) = 1 - P(\text{none vaccinated}) = 1 - (0.39)^4\][/tex]
Let's calculate it:
[tex]\[P(\text{at least one vaccinated}) = 1 - (0.39)^4\][/tex]
[tex]\[P(\text{at least one vaccinated}) \approx 1 - 0.0394179 \][/tex]
[tex]\[P(\text{at least one vaccinated}) \approx 0.9605821\][/tex]
So, the probability that at least one of the four randomly selected people has been vaccinated is approximately 0.9606.
The probability that at least one of the 4 randomly selected people has been vaccinated is calculated using the complement rule and is found to be 0.9769.
To determine the probability that at least one of the 4 randomly selected people has been vaccinated, we can use the complement rule. The probability of an individual not being vaccinated is 1 - 0.61 = 0.39.
We need to calculate the probability that none of the 4 selected people are vaccinated and subtract this from 1:
Probability that a single person is not vaccinated: 0.39Probability that all 4 people are not vaccinated: 0.39⁴0.39⁴ = 0.0231Thus, the probability that at least one of them is vaccinated is:
1 - 0.0231 = 0.9769
Therefore, the probability that at least one of the 4 randomly selected people has been vaccinated is 0.9769.
Find the value of z /2 that corresponds to a confidence level of 89.48%.
Answer: [tex]1.6202[/tex]
Step-by-step explanation:
The given confidence level : c= 89.48%.
⇒ c= 0.8948 [ in decimal]
Then, the significance level = [tex]\alpha= 1-c[/tex]
[tex]=\alpha= 1-0.8948=0.1052[/tex]
Now, to find the value of [tex]z_{\alpha/2}[/tex] , we need to find the two -tailed z-value using z-table for [tex]\alpha=0.1052[/tex] or we can also find the one-tailed z-value for for [tex]\alpha/2=0.1052/2=0.0526[/tex]
Using z-value table , the value is [tex]1.6202[/tex]
Hence , [tex]z_{\alpha/2}=1.6202[/tex] that corresponds to a confidence level of 89.48%.
Using confidence interval concepts, it is found that the critical value is [tex]z_{\frac{\alpha}{2}} = 1.62[/tex]
For a confidence level of [tex]\alpha[/tex], the critical value of z is z with a p-value of:
[tex]\frac{1 + \alpha}{2}[/tex]
The p-value is found looking at the z-table.In this problem, confidence level of 89.48%, thus [tex]\alpha = 0.8948[/tex] the p-value of the z-score is:
[tex]\frac{1 + 0.8948}{2} = 0.9474[/tex]
Looking at the z-table, this value is [tex]z_{\frac{\alpha}{2}} = 1.62[/tex].
A similar problem is given at https://brainly.com/question/15354742
A ball is kicked into the air and follows the path described by h(t)= -4.9t^2+6t+0.6. where t is the time in seconds and h is the height in meters above the ground. Find the maximum height of the ball. What value would you have to change in the equation if the maximum height of the ball is more than 2.4 meters?
FIND THE VETEX!!!!
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HELP PLEASE Simplify the rational expression. State any excluded values. x^2-12x+35/x^2-3x-10
Isabel is purshing a 5 pound bag of dog food.how many 8- ounce servings can she feed her dog (1lb=16oz
Suppose your friend’s parents invest $20,000 in an account paying 5% interest compounded annually. What will the balance be after 10yr?
To find the balance after 10 years when $20,000 is invested at 5% interest compounded annually, we can use the formula for compound interest:
A = P(1+r)ⁿ
Where:
*A is the complete volume of money obtained after
*n years, including interest.
*P embodies the initial investment, or the principle amount.
*The yearly interest rate, calculated by decimal, is r.
*n is the number of periods the money has been put into investments for.
Given:
*P = $20,000
*r = 5% = 0.05
*n = 10 years
Taking appropriate values to carry out the calculation:
A = 20000(1 + 0.05)¹⁰
A = 20000(1.05)¹⁰
Now, let's calculate:
A ≈ 20000 × (1.05)¹⁰
A ≈ 20000 × 1.62889462677744
A ≈ 32577.89
So, the balance after 10 years will be approximately $32,577.89.
After 10 years, the balance of the investment can be calculated using the formula for compound interest: A = P(1+r)ⁿ
Where:
*A is the amount of money accumulated after
*n years, including interest.
*P is the principal amount (the initial investment).
*r is the annual interest rate (in decimal).
*n is the number of times the interest is compounded per year.
In this case, the principal (P) is $20,000, the annual interest rate (r) is 5%, and the investment is compounded annually. Substituting these values into the formula:
A = 20000(1.05)¹⁰
A ≈ 20000 × (1.05)¹⁰
After computation, the balance after 10 years is approximately $32,577.89. This represents the accumulated amount including the initial investment and the interest earned over the 10-year period.
Complete Question:
Suppose your friend’s parents invest $20,000 in an account paying 5% interest compounded annually. What will the balance be after 10yr?
Write the expression in complete factored form 5(y-7)+b(y-7)
Identify the values that create ordered pairs that are solutions to the equation 3x - 5y = 20.
(5,y) (x,2)
Simplify: x+2/x2-6x-16 ÷ 1/9x
The school yearbook committee surveyed the student body for an article about colleges in which they are pursuing enrollment. the table below shows the number of students in each grade level; who are pursuing one or more colleges. If there are 170 students in 12th grade, what percentage of the twelfth grade students have more than one college in mind? round your answer to the nearest percent
12th grade----- 1 college= 75 2 colleges= 27 3 colleges or more= 23
The number of students enrolled at a community college increase by 12% from last year to this. The enrollment last year to this year was 15,500 how many students are enrolled this year
The number of students enrolled this year are 17,360.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, the number of students enrolled at a community college increase by 12% from last year to this.
The enrollment last year to this year was 15,500.
Increased number of students are
12% of 15500
= 12/100 ×15500
= 12×155
= 1860
Number of students enrolled this year are 15,500+1860
= 17360
Therefore, the number of students enrolled this year are 17,360.
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