Answer:
0.4
Step-by-step explanation:
40 divided by 100= 0.4
(3) The grocery store is having a sale on frozen vegetables. 5 bags are
being sold for $12.95. At this rate, what is the cost of 9 bags? *
Answer:
$23.31
Step-by-step explanation:
$12.95/5
=$2.59/per bag
$2.59*9
=$23.31
determine the minimum sample size required when you want to be 75% confident that the sample mean is within fifteen units of the population mean. assume a standard deviation of 327.8 in a normally distributed population
The minimum sample size required when you want to be 75% confident that the sample mean is within fifteen units of the population mean is 632.
The minimum sample size required can be calculated using the formula for sample size based on the margin of error.
Margin of error (ME) = z · (standard deviation of the population / square root of the sample size)
Where z is the z-score for a given level of confidence.
In this case, for a confidence level of 75%, the z-score is 1.150.
Rearranging the formula to solve for the sample size, we get:
Sample size = (z · standard deviation of the population / ME)²
Plugging in the values, we get:
Sample size = (1.150 · 327.8 / 15)²
Sample size = (376.97 / 15)²
Sample size = 25.13²
Sample size = 631.58
Since sample size must be a whole number, the minimum sample size required would be 632. This means that in order to be 75% confident that the sample mean is within 15 units of the population mean, a sample size of at least 632 is required.
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Included in the figure is the equation of the parabola y = x ^ 2 + 4x + 5. The point N is the vertex of the parabola. Write the equation of the line MN.
Answer:
y = 3x + 3
Step-by-step explanation:
y = -x² + 4x + 5
→ Find the vertex
- ( x - 2 )² + 4 + 5 ∴ vertex = ( 2 , 9 )
→ Find the intersection with the x axis
- ( x - 5 ) ( x + 1 ) ∴ ( - 1 , 0 )
→ Find the gradient of the 2 point
( 0 - 9 ) ÷ ( -1 - 2 ) = 3
→ Write into y = mx + c format
y = 3x + c
→ Substitute in a coordinate pair
0 = -3 + c ∴ c = 3
→ Rewrite into y = mx + c
y = 3x + 3
The sum of 3 times a number and 7 equals 4.
Answer: x = -1
Step-by-step explanation:
The problem is asking you the sum (+) of 3 times of a unknown number (let the unknown number be x) and 7, as in 3x + 7
According to the problem this expression is equal to 4,
3x + 7 = 4
1. Subtract 7 from both sides
3x = -3
2. Divide 3 on both sides
x = -1
Your final answer would be negative 1
Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)
Answer -4+X/2=7
-4+X=14
X=18
5+Y/2=-9
5+Y=-18
Y=-23
18,-23
Step-by-step explanation:
Answer:
x=18 , y. = -13
Step-by-step explanation:
\(\frac{-4 + x}{2} \\\) =7 => x = 18
\(\frac{-5 + y}{2\\} \\\) = -9 => y= -13
Help!! Truth Table
Thank you!!
Answer:
Step-by-step explanation:
\(\begin{array}{c|c|c|c|c}p&q&r&p \vee q&(p \vee q)\ =>\ r\\---&---&---&---&------\\T&T&T&T&T\\T&T&F&T&F\\T&F&T&T&T\\T&F&F&T&F\\F&T&T&T&T\\F&T&F&T&F\\F&F&T&F&T\\F&F&F&F&T\\---&---&---&---&------\\\end{array}\)
Marianna finds an annuity that pays 8% annual interest, compounded quarterly. She invests in this annuity and contributes $10,000 each quarter for 6 years. How much money will be in her annuity after 6 years? Enter your answer rounded to the nearest hundred dollars.
The amount of money in Marianna's annuity after 6 years will be approximately $300,516.
To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:
A = P * ((1 + r/n)^(n*t) - 1) / (r/n)
Where:
A = the final amount in the annuity
P = the regular contribution (each quarter) = $10,000
r = annual interest rate = 8% = 0.08
n = number of compounding periods per year = 4 (since it's compounded quarterly)
t = number of years = 6
Plugging in the values:
A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)
Calculating this expression:
A ≈ 10000 * ((1.02)^24 - 1) / 0.02
A ≈ 10000 * (1.601032449136241 - 1) / 0.02
A ≈ 10000 * 0.601032449136241 / 0.02
A ≈ 10000 * 30.05162245681205
A ≈ 300,516.22
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Answer:
304200
Step-by-step explanation:
To find the value of P6, use the savings annuity formula
PN=d((1+r/k)N k−1)r/k.
From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives
P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).
Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.
Rounding as requested, our answer is 304200.
y = -2x² + 5x+- 11 how do I write this in a standard form?
9514 1404 393
Answer:
y = -2x² +5x -11
Step-by-step explanation:
Combine the signs on the constant. The terms are already in order of descending powers of x, which is what you want for standard form.
y = -2x² +5x -11
What is the domain of the given function? {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
{x | x = –4, –1, 3, 5, 6}
{y | y = –2, 0, 1, 4, 9}
{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
Answer: {x | x = –4, –1, 3, 5, 6}
Step-by-step explanation:
The domain is the set of x values, which is 3, 6, -1, 5, and -4 in this case.
Answer:
{x | x = –4, –1, 3, 5, 6} its a
Step-by-step explanation:
hope this helps
Please answer this correctly
Answer:
618
Step-by-step explanation:
l x w
34x5
14x27
5x14
618
30 points On a certain hole, a golfer knows that he has a 70% chance of reaching the green (putting surface) in one stroke, 20% in two strokes, 8% in three, and 2% in four or more. If he reaches the green on his first stroke, he has an 80% chance of putting the golf ball in the cup on his second stroke. If he does not reach the green on his first stroke, then he has a 30% chance of putting the golf ball in the cup on his second stroke. What is the probability that the golfer will reach the green in one stroke and put the ball in the cup on his second stroke?
0.09
0.21
0.56
0.80
Answer:
.56
Step-by-step explanation:
The ratio of boys to girls in a class is 4:5
a) What fraction of the class are boys?
b) What fraction of the class are girls?
Answer:
Boys 4/9 ; 5/9 Girls
Step-by-step explanation
Boys 4:5 Girls
Total pupil = 9
The fraction of boys in the class is 4/9
The fraction of girls in the class is 5/9
to an
Change 184
improper fraction.
[?]
━━━━━━━☆☆━━━━━━━
▹ Answer
130/7
▹ Step-by-Step Explanation
When converting to improper fractions, you multiply the whole number to the denominator, then add the numerator:
18 * 7 = 126
126 + 4 = 130
Final Answer:
130/7
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
A guy wire runs from the top of a cell tower to a metal stake in the ground. Sebastian places a 6-foot tall pole to support the guy wire. After placing the pole, Sebastian measures the distance from the stake to the pole to be 2 ft. He then measures the distance from the pole to the tower to be 19 ft. Find the length of the guy wire, to the nearest foot.
Rounding this to the nearest foot, we get that the length of the guy wire is approximately 19 feet.
What distinguishes a length as such?Units of length may have historically been determined by the lengths of human body parts, the distance traversed in a specified number of paces, the distance between well-known sites or locations on Earth, or randomly by the length of a well-known object.
The Pythagorean theorem can be used to resolve this issue. The guy wire is the hypotenuse of a right triangle made up of the guy wire, the pole, and the ground. The formula is as follows:
Guy wire length = stake to pole length + pole length to tower length
By entering the specified values, we obtain:
Guy wire length two equals two plus nineteen, or 365.
Guy wire length = 365 + 19.10 + guy wire length
If we round this number to the next foot, the guy wire's length is roughly 19 feet.
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A coffee shop sells coffee to about 500 people every morning, but this can vary by as many as 60 people. On any given day, what are the maximum and minimum numbers of people expected to buy coffee?
Answer:
440 ≤ x ≤560
Step-by-step explanation:
|x−500|≤60Rewrite it as a compound inequality−60≤x−500≤60Solve for X by adding 500 to each side. -60+500≤x-500+500≤60+500Leaving you with 440≤x≤560Answer: The coffee shop is expected to serve a maximum of 560 customers and a minimum of 440 customers per morning.Amanda is playing her new video game, Track Runner. At first, she earned 20 points for
winning a sprint. Then in the next race, she got -25 points when she knocked over most
of her hurdles. What is Amanda's total score now?
To solve the problem, Amy added 20 + (-25) and came up with an answer of 5 points. Is
Amy correct? Why or why not?
Yes, Amy is correct.
No. The answer should have been -5, not 5, because Amanda lost more
points than she gained.
No. Amy should have subtracted 20 - (-25) because Amanda earned negative
points.
Answer: no the answer should have been -5 not 5 because Amanda lost more points than she gained
Step-by-step explanation:
20+(-25)=-5
A group of 180 students is divided into 20 teams for a competition. b. Part way through the competition, the students are gathered together and divided into 15 teams. If there are still 180 students in the competition, how many students are on each team now? (Enter your answer as a whole number. For example, 5)
Answer:
12 people per team
Step-by-step explanation:
180/15=12
Which inequality is graphed below
Answer:
wheres it at?
Step-by-step explanation:
#Everything4Zalo
PLEASE HELP WILL GIVE BRAINLIST -3(0.5+3p)=-6(p-5.9) show ur full work in liner questions form i will get my alt and answer to get u brainliST
50 POINTS!!
Answer:
p = - 123/10 = -123/10 = -12.3
Step-by-step explanation:
-3(0.5 + 3p) = -6(p - 5.9)
Use the distributive property to multiply -3 by 0.5 + 3p
-1.5 - 9p = -6 (p - 5.9)
Use the distributive property to multiply -6 by p - 5.9
-1.5 - 9p = -6p + 35.4
Add 6p to both sides
-1.5 - 3p = 35.4
Add 1.5 to both sides
-3p = 35.4 + 1.5
Add 35.4 and 1.5 to get 36.9
-3p = 36.9
Divide both sides by -3
p = 36.9/-3
Expand 36.9/-3 by multiplying both numerator and the denominator by 10.
p = 369/-30
Reduce the fraction 369/-30 to lowest terms by extracting and canceling out 3.
p = -123/10
In the rectangle below, JN = 3x+6, JL = 5x + 18, and m Find the value of x and m
Answer:
6
58
Step-by-step explanation:
The diagonals of a rectangle are congruent and bisect each other.
JL = 2JN
5x + 18 = 2(3x + 6)
5x + 18 = 6x + 12
6 = x
x = 6
NL = NK
That makes triangle KNL an isosceles triangle with congruent sides NK and NL. Opposite angles of congruent sides are congruent.
m<NKL = m<NLK
Angles NLM and NLK are complementary.
m<NLM + m<NLK = 90
32 + m<NLK = 90
m<NLK = 58
m<NKL = m<NLK = 58
Solve 2^x-2=8^4 but not solving for x
Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.
To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.
First, let's simplify the equation:
2^x - 2 = 8^4
We know that 8 can be expressed as 2^3, so we can rewrite the equation as:
2^x - 2 = (2^3)^4
Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:
2^x - 2 = 2^(34)
Simplifying the right side of the equation:
2^x - 2 = 2^12
Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:
x = 12
Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.
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How many more barrels of gasoline than diesel will produce last year gasoline is 34% diesel is 29% out of 60 million barrels
Answer:
3,000,000
Step-by-step explanation:
60,000,000x34%=20,400,000
60,000,000x29%=17,400,000
20,400,000-17,400,000=3,000,000
a rectangle with a width of 30 centimeters has a perimiter of 100 centimeters to 160 centimeters graph a compound inequality
Answer:
5 ≤ L ≤ 35
Step-by-step explanation:
Let w represent the width of the rectangle.
The perimeter (P) of the rectangle is given by:
P = 2w + 2L
Where L is the length of the rectangle.
We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:
100 ≤ 2(30) + 2L ≤ 160
100 ≤ 90 + 2L ≤ 160
10 ≤ 2L ≤ 70
We can now divide both sides by 2 to solve for L:
5 ≤ L ≤ 35
Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is: 5 ≤ L ≤ 35
In how many different ways can we distribute 5 different books among 10 children if any child can get any number of books?
Using the formula of combination and the provided condition that any child can get any number of books, The answer is 637.
What is combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. We use permutation to determine how many possible ways we have to arrange items from a collection system.
What is the formula of combination?The required formula is:
\(C(n,r) = \frac{n!}{r!(n-r)!}\)
where, n= total number of objects in the set.
r= number of choosing objects from the set.
from the given data, total number of books = n= 5
number of children we need to distribute, r= 10
total possible ways of distribution= C(10,1)+C(10,2)+C(10,3)+C(10,4)+C(10,5)
=10+45+120+210+252
=637
hence, we have total 637 possible ways to distribute.
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The retail price of a television set is $4500. If the buyer pays cash, the price is 10% below the retail price. If the set is bought on hire purchase, the buyer pays a down payment of $675 and 24 monthly instalments of $212.50. Determine the hire purchase price.
Answer:
212.50.
Step-by-step explanation:
{20 PTS}
4/6 = ??? x 1/6
what number makes this equation true? fill in the blank
What is the slope of the line that passes through the points (8, -6) and (5, -1)
Answer:
-5/3
Step-by-step explanation:
trust me bro
Answer:
Use desmos
Step-by-step explanation:
Basically it is a graphing calculator put your points
PLEASE ANSWER FAST!!! −2(x + 4) − 2x < 8
Answer: The answer is x\(\geq -4\)
Step-by-step explanation:
−2(x + 4) − 2x < 8
negative 2x subtract 8 subtract 2x lesser than sign 8
-2+-2=4
-4x-8< 8
add 8 to both sides
-4x< 8+8
8+8=16
-4x< 16
divide -4 on both sides
x\(\geq \frac{16}{-4}\)
divide 16 by -4 to get -4
x\(\geq -4\)
A box of 15 cookies costs $9.
What is the cost for 1 cookie?
Stuck?
what multiplies to -65 and adds to -8
Answer: The two numbers that multiply to -65 and add to -8 are -13 and 5.
Steps: Here are the steps to find two numbers that multiply to -65 and add to -8:
Write down the equation x * y = -65 where x and y are the two numbers you’re looking for.
Write down the equation x + y = -8.
Solve for one of the variables in one of the equations. For example, solving for x in the second equation gives us x = -8 - y.
Substitute this expression for x into the first equation: (-8 - y) * y = -65.
Solve this quadratic equation for y: -y^2 - 8y + 65 = 0.
Use the quadratic formula to find the values of y: y = (-(-8) +/- sqrt((-8)^2 - 4 * (-1) * 65)) / (2 * (-1)).
This gives us two possible values for y: -13 and 5.
Substitute these values back into one of the original equations to find the corresponding values of x. For example, when y = -13, we have x = -8 - (-13) = 5. When y = 5, we have x = -8 - 5 = -13.
So, the two numbers that multiply to -65 and add to -8 are -13 and 5.