To achieve a mean score of 8 after five quizzes, you would need to score 6 in your fifth quiz, assuming your scores in the first four quizzes were 7, 10, 8, and 9 respectively.
Explanation:Yes, these scores are associated with the subject of mathematics, particularly the branch of math known as statistics. This involves determining how to achieve a desired mean, which in this case is 8, given your previous quiz scores.
The mean score is determined by adding all your quiz scores together and dividing by the total number of quizzes. So for your first four quizzes, the total is 7 + 10 + 8 + 9 = 34. The mean so far is 34 ÷ 4 = 8.5 which is already above our targeted mean of 8.
To achieve a mean of 8 over 5 quizzes, the total of your scores would need to be 8 x 5 = 40. Therefore, the score you would need to get on your fifth quiz would be 40 (the desired total) - 34 (the current total) = 6.
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ellen and tasha took a long bicycle trip last weekend.they rode the first 10 miles at a rate of 12 miles per hour. They realized they had to go faster to get to their destination before dark. So they sped up for the last 12 miles of the trip. The entire trip took 1 hour and 20 minutes. At what rate did they travel the last 12 miles? As mile per hours.
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Number 123,456,789 what digit has the greatest value? what is it value
In the number 123,456,789, the digit with the greatest value is 1.
The explanation is as given:
Each digit contributes value based on its position in the number. The leftmost digit holds the highest place value.
In this case, the digit 1 is in the hundreds of millions place.
1 (in the hundreds of millions place) = 1 x 100,000,000 = 100,000,000
Although the digit 9 appears at the end, it's in the ones place, which has the lowest weight (9 x 1 = 9).
Therefore, the digit with the greatest value is 1, and its value is 100,000,000.
A zookeeper weighed an African elephant to be 9 × 103 to the power of 3 pounds and an African lion to be 4 × 102 to the power of 2 pounds. How many times greater is the weight of the elephant than the weight of the lion?
A) 2.25 times 10 to the power of 1
B) 5
C) 13 times 10 to the power of 5
B) 3.6 times 10 to the power of 6
Answer:
[tex]2.25\times 10^1[/tex] times greater is the weight of the elephant than the weight of the lion.
Step-by-step explanation:
Given : A zookeeper weighed an African elephant to be [tex]9\times 10^3[/tex] pounds and an African lion to be [tex]4\times 10^2[/tex] pounds.
To find : How many times greater is the weight of the elephant than the weight of the lion?
Solution :
A zookeeper weighed an African elephant to be [tex]9\times 10^3[/tex] pounds.
A zookeeper weighed an African lion to be [tex]4\times 10^2[/tex] pounds
Now, Divide the weighed an African elephant with weighed an African lion to determine times greater is the weight of the elephant than the weight of the lion,
[tex]n=\frac{9\times 10^3}{4\times 10^2}[/tex]
[tex]n=2.25\times 10^1[/tex]
Therefore, Option A is correct.
[tex]2.25\times 10^1[/tex] times greater is the weight of the elephant than the weight of the lion.
Shaquira is baking cookies to put in packages for a fundraiser. Shaquille has made 86 chocolate chip cookies and 42 sugar cookies. Shaquira wants to create identical packages of cookies to sell, and she must use all the cookies. What is the greatest number of identical packages Shaquira can make?
Answer:
The greatest number of identical packages Shaquira can make is 21.
Explanation:
To find the greatest number of identical packages Shaquira can make, we need to determine the greatest common divisor (GCD) of the number of chocolate chip cookies and the number of sugar cookies. The GCD represents the largest number of identical packages that can be made.
Given:
- Chocolate chip cookies: 86
- Sugar cookies: 42
We can find the GCD using the Euclidean algorithm or by listing the factors of each number and identifying the largest common factor.
By listing the factors:
- Factors of 86: 1, 2, 43, 86
- Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
The common factors are 1 and 2. The greatest common factor (GCD) is 2.
So, Shaquira can make the greatest number of identical packages by dividing both the number of chocolate chip cookies and the number of sugar cookies by the GCD:
[tex]\( \frac{86}{2} = 43 \)[/tex] packages from chocolate chip cookies
[tex]\( \frac{42}{2} = 21 \)[/tex] packages from sugar cookies
what's the answer for X?
How do you write $2.161616 as a fraction and mixed number
Is this question proportional or in proportional? why or why not?
Oleg ran 8.8 in 1 hour 20 minutes. Assuming he continues at a constant rate, how long will it take him to run any number of miles?
Determine the intervals on which the function is increasing, decreasing, and constant. (5 points)
The function is increasing in:
x< -1
and it is decreasing in:
x > -1
and nowhere constant.
Step-by-step explanation:We know that the graph of a function is increasing if we get a line in a graph with a positive slope i.e. with the increasing values of x the y-value is also increasing.The function is decreasing if the graph of a function is a line with a negative slope i.e. with the increasing values of x the y-value is decreasing.The function is constant over a interval if the graph of the function over that interval is a straight line with zero slope ; i.e. a line which is parallel to the x-axis over the interval.What's the answer pleaseeeee answer
Slope for (6,-10) (-15,15)
what is the sum of all the integers between the square root of 14 and the square root of 95
Solve for p.
3p − 4 = 11
p = 7
p = -5
p = −3
p = 5
Name 3 decimals with a product about 40.
The height (in inches) of a plant after t days is 1/2 t + 6. About how many days is the plant 21 inches tall?
When making a full batch of tuna you will mix one pouch of tuna with 26 ounces 737 g of mayonnaise how much Tony mayonnaise would you need when making a double batch
Translate 1 hundreds 4 ones 2 tens and 1 tenths
Emily spent a total of 38.04 on four CDs if each CD cost the same amount what is a reasonable amount for each CD explain why your answer is reasonable
PLEASE HELP!!!! I don't understand!
1. -1/2 + 1/3
A. -1/6
B. -1/3
C. 2/3
D. 1/6
2. -3 1/5 + (-6 1/2)
A. -3 2/7
B. - 3 7/10
C. -9 2/7
D. -9 7/10
3. 5/8 - (-2/8)
A. -3/8
B. -7/8
C. 3/8
D. 7/8
4. -9/10 - 2/5
A. -1 3/10
B. -1 1/10
C. -7/10
D. -5/10
5. 6 3/5 - (-2 1/5)
A. -8 2/5
B. -4 2/5
C. 4 2/5
D. 8 4/5
Find two consecutive odd integers such that the sum of the smaller and 3 times the larger is 330
To solve this problem, the two consecutive odd integers are defined as x and x+2. A mathematical equation is created according to the problem conditions and solved. The consecutive odd integers are found to be 81 and 83.
Explanation:Let's define the two consecutive odd integers as x (the smaller) and x+2 (the larger). Given the condition from the question that the sum of the smaller integer and three times the larger integer is 330, we can form the equation x + 3*(x+2) = 330.
We'll simplify that equation, which gives us: x + 3x + 6 = 330, and combining like terms, we get 4x + 6 = 330. We can solve for x by subtracting 6 from both sides and then dividing both sides by 4, which results in x = 81. Given that x represents the smaller odd integer, the larger integer would be x + 2 or 83.
So, the two consecutive odd integers fulfilling the conditions given are 81 and 83.
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The two consecutive odd integers such that the sum of the smaller and 3 times the larger is 330 are 81 and 83.
Denote the smaller odd integer as x and the larger consecutive odd integer as x + 2.
According to the problem, the sum of the smaller integer and 3 times the larger integer is 330. So, we have the equation:
x + 3(x + 2) = 330
Now, solve for x :
1. Distribute the 3 on the left side:
x + 3x + 6 = 330
2. Combine like terms:
4x + 6 = 330
3. Subtract 6 from both sides to isolate terms with x:
4x = 324
4. Divide both sides by 4 to solve for x:
[tex]\[ x = \frac{324}{4} \]\[ x = 81 \][/tex]
So, the smaller odd integer x is 81. Now find the larger consecutive odd integer:
x + 2 = 81 + 2 = 83
Therefore, the two consecutive odd integers are 81 and 83.
To verify:
- The sum of the smaller integer and 3 times the larger integer:
[tex]\[ 81 + 3 \cdot 83 = 81 + 249 = 330 \][/tex]
The verification confirms that the solution is correct.
So, the two consecutive odd integers such that the sum of the smaller and 3 times the larger is 330 are 81 and 83.
How is twelve divided by fifteen equal to eight.
3 1/8 x 3 3/5 in simplest form
Find the amount of sales tax (T) paid on an item selling for a price (p) of $170 using the formula T=00.4p
During low tide in Wrightsville, North Carolina, the beachfront in some places is about 350 feet from the ocean to the homes. High tide can chance the width of a beach at a rate or -17 feet an hour. It takes 6 hours for the ocean to move from low to high tide.
a. What is the change in the width of the beachfront from low to high tide?
b. What is the distance from the ocean to the homes at high tide?
The change in the width of the beachfront from low to high tide is 102 feet, and the distance from the ocean to the homes at high tide is 248 feet.
a. To find the change in width from low to high tide, we multiply the rate of change (-17 feet/hour) by the time it takes for the ocean to move from low to high tide (6 hours).
So, -17 feet/hour * 6 hours = -102 feet. Therefore, the width of the beachfront decreases by 102 feet from low to high tide.
b. At high tide, the distance from the ocean to the homes is the sum of the original distance (350 feet) and the change in width during the tide change (-102 feet), resulting in 350 feet + (-102 feet) = 248 feet.
What is the value of P?
10p + 5 = 18p–6/2
It's 18p - 6 over 2.
James has 195.84 square yards of land he can use to grow vegetables. He wants to divide this into patches of 16.32 square yards. He will be able to create garden patches on his land. If he wants to create garden patches with an area of 32.64 square yards, he will be able to create patches on the land.
Answer:
With 16.32 square yards, James gets 12 patches.
With 32.64 square yards, he gets 6 patches.
Step-by-step explanation:
James has 195.84 square yards of land he can use to grow vegetables.
He wants to divide this into patches of 16.32 square yards.
So, he will get [tex]\frac{195.84}{16.32}=12[/tex] equal patches.
If he wants to create garden patches with an area of 32.64 square yards, then he gets [tex]\frac{195.84}{32.64}=6[/tex] patches.
the reporter asked 12 people in the company why they like working for their boss and found out eight of them said it was because he was an understanding person there are a total of 96 employees what is a good prediction of how many people like their boss because he's an understanding person
What is 80% as a fraction in reduced form ?
80% as a fraction in reduced form is 4/5.
To express 80% as a fraction in reduced form, you need to convert the percentage to a fraction. The term reduced form means simplifying the fraction to its lowest terms.
Here's a step-by-step explanation:
Step 1: Understand what a percentage represents
A percentage is a way to express a fraction or ratio out of 100. So, when you see 80%, it means 80 out of 100.
Step 2: Write the percentage as a fraction
To convert a percentage to a fraction, you can write it as a fraction with the percentage as the numerator and 100 as the denominator. Therefore, 80% can be written as 80/100.
Step 3: Simplify the fraction
To reduce the fraction to its lowest terms, you need to find the greatest common divisor (GCD) between the numerator and denominator. In this case, both 80 and 100 can be divided by 20. Dividing both the numerator and denominator by 20, we get:
80/100 = (80 ÷ 20) / (100 ÷ 20) = 4/5.
Step 4: Interpret the reduced fraction
The fraction 4/5 is the reduced form of 80%. It means that 80% is equivalent to four-fifths (4 parts out of 5).
Therefore, 80% as a fraction in reduced form is 4/5.
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You are ordering concert tickets. You pay a processing fee of $5, plus $18 per ticket. How many tickets can you buy for $100?
After accounting for the $5 processing fee, you can purchase approximately 5 concert tickets with $100, as each ticket cost $18.
To determine how many concert tickets you can buy for $100, we need to account for both the fixed processing fee and the variable cost per ticket. The processing fee is a one-time payment, and the cost per ticket is multiplied by the number of tickets you want to purchase. We can set up the following equation where T represents the number of tickets:
$5 + $18T = $100
First, we subtract the processing fee from the total amount of money available:
$100 - $5 = $95
Now we divide the remaining amount by the cost per ticket:
$95 / $18 = 5.28
Since you cannot buy a fraction of a ticket, you would be able to purchase 5 tickets with $100, with a remaining balance of $5 (since 5 tickets cost $90, plus the $5 processing fee).
April can run at a rate that is 2 miles per hour faster then Donna's rate. one day, april gave donna a 25 minute head start on a run. if April passes Donna five miles from the starting point, how fast is each Runner running?
Let us say that:
s = speed of Donna
s + 2 = speed of April
Then we are also given that:
t + (25/60) = time of Donna
t = time of April
The distance taken by the two should be equal. We know that distance is the product of speed and time, so:
s * (t + 25/60) = (s + 2) t
We also know that:
(s + 2) * t = 5
s = 5/t – 2
So that:
(5/t – 2) * (t + 25/60) = 5
5 + 125/60t – 2t – 50/60 = 5
25/12t – 2t – 5/6 = 0
Multiply everything by t:
- 2t^2 – 5/6 t + 25/12 = 0
t^2 + 5/12 t = 25/24
Completing the square:
(t + 5/24)^2 = 25/24 + (5/24)^2
t + 5/24 = ± 1.04
t = -1.25 h, 0.83 h
Since time cannot be negative, therefore t = 0.83 h
So,
(s + 2) * t = 5
s + 2 = 5/0.83 = 6 miles per hour
s = 4 miles per hour
Answers:
speed of Donna = 4 miles / hr
speed of April = 6 miles / hr