False, The claim that the range of the data set (16, 8, 16, 14, 10, 9, 8, 11, 12, 13, 18) is 97 is false. The actual range is the difference between the largest and smallest values, which is 10.
The task is to determine whether the statement that the range of the provided data set is 97 is true or false. First, let's define the range. It is the difference between the smallest and largest numbers in a data set. Looking at the data provided: 16, 8, 16, 14, 10, 9, 8, 11, 12, 13, 18, we find the smallest value to be 8 and the largest to be 18.
To calculate the range, we subtract the smallest number from the largest: 18 - 8 = 10. Consequently, the initial claim that the range is 97 is false. The correct range of this data set is, in fact, 10.
The given statement the range of the set of data below is 9 is false.
The correct answer is False.
To find the range of a set of data, we subtract the smallest value from the largest value.
Step 1: Identify the smallest and largest values in the data set.
Smallest value: 7
Largest value: 18
Step 2: Calculate the range.
Range = Largest value - Smallest value
Range = 18 - 7
Range = 11
Step 3: Compare the calculated range with the given range.
Given range = 9
Calculated range = 11
Since the calculated range (11) does not match the given range (9), the statement "The range of the set of data below is 9" is False.
The range of a data set measures the spread or dispersion of the data. It is calculated by finding the difference between the largest and smallest values in the data set. In this case, the smallest value is 7 and the largest value is 18. Therefore, the range is 18 - 7 = 11. This contradicts the given range of 9, making the statement false. In summary, the correct answer is False, and the range of the given data set is 11.
Complete question:
The range of the set of data below is 9
7. 16, 8, 16, 14, 10, 9, 8, 11, 12, 13, 18
True
False
Is the discrimination of g positive, zero, or negative?
I honestly think it is negative
i can confirm the answer is actually Zero.
17. Which of the following measures can be calculated for qualitative data? a. Mean b. Median c. Mode d. All of these
Answer: C. Mode
Step-by-step explanation:
Qualitative data applies to observable data such as reoccurring patterns (mode)
Quantitative data applies to numbers and numerical calculations (Mean, Median)
Mode is the best way to analyze qualitative data as it makes the analysis easier.
What is the definition of Mode?Mode is the most frequently occurring value in the data.
What is qualitative data?
Qualitative data is the descriptive and conceptual findings collected through questionnaires, interviews, or observation. Analyzing qualitative data allows us to explore ideas.
For example
Each child’s gender
His or her favorite color
Whether he or she owns at least one pet
How he or she gets to and from school
In order to analyze the above data, Mode is the best method because the mode is the most frequently occurring value in data and one can easily analyze the data.
Therefore, Mode is the best way to analyze qualitative data.
To get more about mode refer:
https://brainly.com/question/14532771
How fast is a train going that makes a 330 mile trip in 4 hours?
ANSWER
The car moves at 32 mi/hr
EXPLANATION
This question is asking us to determine how fast is a train that makes 330 mile trip in 4 hours.
This is the same as calculating the speed of the train:
Speed = distance covered/time taken
The distance covered is 330 mile
The time taken is 4 hours.
Speed =330/4 =82.5 mi/hr
HELPPPPPPPPPPPPPP PLZZZZZZZZZZZ clock arithmetic Will mark brainiest .
clock arithmetic
calculate = a) 8+11 (12 clock ) B) 4+9(12 clock ) C) 7 * 6(12 clock) D) 5 * 11 (12 clock )
plz give the answer to A,B,C,D.
Answer:
A) 7
B) 1
C)6
D) 7
Step-by-step explanation:
Clock arithmetic is just like the basic arithmetic you know... with one difference... there are no numbers beyond 12 (or 24).
In your question, you seem to indicate to consider only the 12-hour clock system, much like it is used in the USA.
So, every time you pass 12, you start at 1 again. So, your answer has to be under 13. If your answer is still > 12 after you subtracted 12, subtract 12 again, and again, and again, until you get something <= 12.
That's what we call a modulo 12.
A) 8 + 11 = 19... but then you subtract 12... 19 - 12 = 7
B) 4 + 9 = 13, 13 - 12 = 1
C) 7 * 6 = 42, 42 - 12 = 30, 30-12 = 18, 18 -12 = 6
D) 5 * 11 = 55, 55 - 12 = 43, 43 - 12 = 31, 31 - 12 = 19, 19 - 12 = 7
By performing the calculations and finding the remainders, we can determine the answers to the given expressions. The required answers are: A) 7, B) 1, C) 6, D) 7.
Let's solve each calculation step by step:
A) 8 + 11 (12 clock): 8 + 11 is 19. Since we are using a 12-hour clock, we need to take the remainder when dividing 19 by 12. 19 divided by 12 gives a remainder of 7. So, the answer is 7.
B) 4 + 9 (12 clock): 4 + 9 is 13. Dividing 13 by 12 gives a remainder of 1. So, the answer is 1.
C) 7 x 6 (12 clock): 7 multiplied by 6 is 42. Dividing 42 by 12 gives a remainder of 6. So, the answer is 6.
D) 5 x 11 (12 clock): 5 multiplied by 11 is 55. Dividing 55 by 12 gives a remainder of 7. So, the answer is 7.
What is the approximate volume of the cylinder?
Use 3.14 to approximate .
height is 5 ft and radius is 15 ft
A.
236 ft3
B.
471 ft3
C.
3533 ft3
D.
11,092 ft3
Answer:
C
Step-by-step explanation:
Use the formula for the volume of a cylinder.
[tex]V=\pi r^2h[/tex]
Plug in the height, the radius, and 3.14 for [tex]\pi[/tex].
[tex]V=3.14(15^2)(5) \\ \\ V=3.14(225)(5) \\ \\ V=3.14*1125 \\ \\ V=3532.5[/tex]
If you round that number you'll get [tex]V=3533[/tex].
So the answer is answer choice C.
[tex]4x - 5y = - 5 \\ y = x[/tex]
Answer:
y=1 + [tex]\frac{4x}{5}[/tex]
x=-[tex]\frac{5}{4}[/tex] + [tex]\frac{5y}{4}[/tex]
Find the first four iterates of the function f(x) = x2 with an initial value of x0 = -1.
a.
1, 1, 1, 1
c.
-1, -1, -1, -1
b.
1, -1, 1, -1
d.
-1, 1, -1, 1
Please select the best answer from the choices provided
Answer:
a. 1, 1, 1, 1
Step-by-step explanation:
We'll use the formula f(x) = x² for each iteration. The output of the first iteration will be come the input of the second iteration, and so on.
We start with x0 = 1
x0 = -1 => f(x) = x² = (-1)² = 1
x1 = 1 => f(x) = x² = (1)² = 1
x2 = 1 => f(x) = x² = (1)² = 1
x3 = 1 => f(x) = x² = (1)² = 1
x4 = 1 => f(x) = x² = (1)² = 1
Answer:
A. 1, 1, 1, 1
Step-by-step explanation:
We start with x0 = 1
x0 = -1 => f(x) = x² = (-1)² = 1
x1 = 1 => f(x) = x² = (1)² = 1
x2 = 1 => f(x) = x² = (1)² = 1
x3 = 1 => f(x) = x² = (1)² = 1
x4 = 1 => f(x) = x² = (1)² = 1
Can anybody please help me get the answer or help me understand how to do this
Answer:
51.3
Step-by-step explanation:
This is a right triangle (because of the 90° angle). For any right triangle, you can use the following:
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
You can remember this as SOH-CAH-TOA.
We want to find the angle y. We know that the opposite side is 10 and the adjacent side is 8. So we can use tangent:
tan y = 10 / 8
y ≈ 51.3°
help fast i need help REAL fast
Answer:
The answer is x=2
Step-by-step explanation:
Answer:
B x = 2
Step-by-step explanation:
As you can see you have to find out what equals 4 AND what equals 12 and to make sure:
Do 2x2 is 4 because 4 times 1 yes but 6 times 1 is not 12 its 26 therefore C is INCORRECT
A Is Also wrong because 6 x 1 is 6 sure yes 4 x 1 is for but they both have to be equal so A is INCORRECT
And Is wrong because 8 x 4 is 32 but we are looking for what equals 4 not 32 and 6 x 8 is 48 we are looking for a 12 so D is INCORRECT
Now what leaves is B well 2 x 2 =4 and 2 x 6 = 12 Therefore B is Correct! Another way you can do this is to divide 12 ÷ 6 = 2 and 4 ÷ 2 = 2
Hope this helps!
Find the missing lengths of the sides.
ANSWER
The correct answer is A.
EXPLANATION
The given triangle is a right isosceles triangle because one angle is 90° and the base angles will be 45° each.
This means that:
[tex]a = b[/tex]
Using, the Pythagorean Theorem, we have
[tex] {a}^{2} + {a}^{2} = {(9 \sqrt{2} )}^{2} [/tex]
We simplify to get:
[tex]2{a}^{2} = 81 \times 2[/tex]
[tex]{a}^{2} = 81[/tex]
Take positive square root,
[tex]a = \sqrt{81} [/tex]
This implies that
[tex]a = 9[/tex]
Therefore b is also equal to 9
The correct answer is A.
Answer: option a
Step-by-step explanation:
You can use these identities:
[tex]sin\alpha=\frac{opposite}{hypotenuse}\\\\cos\alpha=\frac{adjacent}{hypotenuse}[/tex]
Then, to find "a" you know that:
[tex]\alpha=45\°\\adjacent=a\\hypotenuse=9\sqrt{2}[/tex]
Substituting:
[tex]cos(45\°)=\frac{a}{9\sqrt{2}}[/tex]
Now you must solve for "a":
[tex]a=cos(45\°)(9\sqrt{2})\\\\a=9in[/tex]
To find "b", you know that:
[tex]\alpha=45\°\\opposite=b\\hypotenuse=9\sqrt{2}[/tex]
Substituting:
[tex]sin(45\°)=\frac{b}{9\sqrt{2}}[/tex]
Now you must solve for "b":
[tex]b=sin(45\°)(9\sqrt{2})\\\\b=9in[/tex]
please answer quick!
The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times.
What is the experimental probability of rolling a 3 or a 6?
Enter your answer as a fraction in simplest form, in the box.
Answer:
The probability of rolling a 3 or a 6 is 1/4....
Step-by-step explanation:
Number of times outcome occurred = 10+6+4+8+6+6
Number of times outcome occurred = 40
Number of times 3 occurred = 4
Number of times 6 occurred = 6
Now add both the values: 4+6 =10
Now to find the experimental probability of rolling a 3 or a 6, You just simply divide number of times outcome occurred by 10
= 10/40
Cancel the term by the table of 5.
10/40
=2/8
Now further divide it by the table of 2
= 1/4
Thus the probability of rolling a 3 or a 6 is 1/4....
The mass of a toy spoon is 7.5 grams and it’s volume is 3.2 mL. What is the density of the toy spoon
Hello fellow human! I hope this helps and possibly answers your question ♡\( ̄▽ ̄)/♡ Best of luck!
Answer:
Rounded to the nearest hundredth: 2.34 g/cm³
Step-by-step explanation:
Here's the formula to find the Density: [tex]p=\frac{m}{v}[/tex]
This is what the variables mean:
p = density
m = mass
V = volume
Now let's see what clues you have from this toy spoon!
p = ? We are going to solve to find out!
m = 7.5 grams
V = 3.2 mL
First, we should know that there is only 1 gram in each mL and vise-versa, so there is no need to convert these measurements.
Next, we plug in the values from what we know into the equation.
This is the formula: [tex]p=\frac{m}{v}[/tex]
Now if we plug in our values we get: [tex]p=\frac{7.5}{3.2}[/tex]
From that we get, p = 2.34375
Finally, if we round our answers we get:
Rounded to the nearest hundredth: 2.34 g/cm³
Rounded to the nearest tenth: 2.3 g/cm³
g/cm³ is the unit for density (in grams), so its up to you to put it or not!
Have an amazing day!! (♡°▽°♡) I hope you found this helpful ;))
The density of the toy spoon is approximately 2.34 g/mL.
The density of an object is calculated by dividing its mass by its volume. In this case, the mass of the toy spoon is 7.5 grams and its volume is 3.2 mL. To find the density, we divide the mass by the volume:
Density = Mass / Volume = 7.5 g / 3.2 mL
Calculating this, we get a density of approximately 2.34 g/mL.
Learn more about Density here:https://brainly.com/question/34199020
#SPJ3
Find the coordinates for the mid point with endpoints (3,5) and (-2,0)
The answer is:
The coordinates of the midpoint are:
[tex]x-coordinate=0.5\\y-coordinate=2.5[/tex]
Why?We can find the midpoint of the segment with the given endpoints using the following formula.
The midpoint of a segment is given by:
[tex]MidPoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]
We are given the points:
[tex](3,5)\\[/tex]
and
[tex](-2,0)\\[/tex]
Where,
[tex]x_{1}=3\\y_{1}=5\\x_{2}=-2\\y_{2}=0[/tex]
So, calculating the midpoint, we have:
[tex]MidPoint=(\frac{3+(-2)}{2},\frac{5+0}{2})[/tex]
[tex]MidPoint=(\frac{1}{2},\frac{5}{2})[/tex]
[tex]MidPoint=(0.5,2.5)[/tex]
Hence, we have that the coordinates of the midpoint are:
[tex]x-coordinate=0.5\\y-coordinate=2.5[/tex]
Have a nice day!
David uses 1/2 cup of apple juice for every 1/4 cup of cranberry juice to make a fruit drink. Enter the number of cups of apple juice David uses for 1 cup of cranberry juice.
Answer:
2 cups of apple juice
Step-by-step explanation:
In order to get one cup of cranberry juice, you would need to add the ratio, 1/4, four times. Since for every 1/4 cup of cranberry juice there is 1/2 cup of apple juice, add 1/2 four times
1/2 + 1/2 + 1/2 + 1/2 = 4/2 = 2 cups
How many times larger is the volume of a sphere if radius is multiplied by 5
Answer:
125 times larger
Step-by-step explanation:
Let's say the radius is 3, just as an example.
The formula of a sphere is V=4/3 pi r^3
Then we can just substitute and test it out.
V=4/3 pi (3)^3
V=4/3 pi (27)
V=36 pi
Then multiple the previous radius by 5 to test it out.
V=4/3 pi (15)^3
V=4/3 pi (3375)
V=4500 pi
Then divide the bigger one by the smaller one
You will get 125, therefore it is 125 times larger
hope this helps :D
How many times can 7 go into 336?
Answer: 48
Step-by-step explanation:
336/7=48
Answer:
48
Step-by-step explanation:
Well, 336/7 is 48
PLEASE HELP ME ASAPP!!!!
Answer:
y = x + 3
y = 3x²
y = [tex]3^{x}[/tex]
Step-by-step explanation:
Relationship1
y = x + 3
y = (0) + 3 = 3
y = (1) + 3 = 4
y = (2) + 3 = 5
Relationship 2
y = 3x²
y = 3(0)² = 0
y = 3(1)² = 3
y = 3(2)² = 3(4) = 12
Relationship 3
y = [tex]3^{x}[/tex]
y = [tex]3^{0}=1[/tex]
y = [tex]3^{1}=3[/tex]
y = [tex]3^{2}=9[/tex]
how do u simplify 3/30
[tex]\bf \cfrac{3}{30}\implies \cfrac{3\cdot 1}{3\cdot 10}\implies \cfrac{3}{3}\cdot \cfrac{1}{10}\implies 1\cdot \cfrac{1}{10}\implies \cfrac{1}{10}[/tex]
Mr. jenkins is almost 67 years old and is preparing to retire. Over his life he earned an average of $3,750 per month after adjusting for inflation. The formula for calculating monthly social security benifits is 90% of the first $680 earned, then 32% of the earning over $680. Whata will Mr. Jenkins' monthly benefit be?
Answer:
$1594.40
Step-by-step explanation:
The question is on monthly benefit for social security
Average amount earned per month=$3750
Benefit earned in first $680 = 90/100 ×3750 = $612
Benefit earned for amount over $680 = 32/100 ×($3750-$680)
0.32×3070=$982.40
Total amount earned as benefit per month= $612+$982.40 =$1594.40
Final answer:
Mr. Jenkins' monthly Social Security benefit is calculated by adding 90% of the first $680 of his average monthly earnings to 32% of the earnings above $680. The total benefit comes out to be $1,594.40 per month.
Explanation:
To calculate Mr. Jenkins' monthly Social Security benefits, we use the formula provided which incorporates two rates: 90% of the first $680 earned, and then 32% of the earnings over $680. Since Mr. Jenkins has an average monthly income of $3,750, the calculation would look like this:
First $680 of earnings: $680 x 0.90 = $612
Remaining earnings: ($3,750 - $680) x 0.32 = $3,070 x 0.32 = $982.40
Total monthly benefit: $612 + $982.40 = $1,594.40
Therefore, Mr. Jenkins' monthly Social Security benefit will be $1,594.40.
solve the inequality
Answer:
[tex]\large\boxed{q\geq-8}[/tex]
Step-by-step explanation:
[tex]7q-5\leq10q+19\qquad\text{add 5 to both sides}\\\\7q\leq10q+24\qquad\text{subtract 10q from both sides}\\\\-3q\leq24\qquad\text{change the signs}\\\\3q\geq-24\qquad\text{divide both sides by 3}\\\\q\geq-8[/tex]
Is 18,000g greater than 10kg?
Answer:
yes, 18,000g = 18kg
Step-by-step explanation:
If f(x)=2x-6 which of these is the inverse of f(x)
[tex]f^{-1} (x)=3+\frac{x}{2}[/tex]
Answer:
f(x)^-1 = 1/2x +3
Step-by-step explanation:
f(x) = 2x-6
y =2x-6
Exchange x and y and solve for y
x = 2y -6
Add 6 to each side
x+6 = 2y
Divide by 2
(x+6)/2 = 2y/2
(x+6)/2 =y
1/2x +3 =y
This is the inverse of f(x)
f(x)^-1 = 1/2x +3
Pedro has $0.35 in his pocket.Alice has $0.40 in her pocket.How much money do pedro and alice have altogether.
Answer:
$0.75
Step-by-step explanation:
$0.35+$0.40=$0.75
Answer:
Step-by-step explanation:
.75 cents
What is 2x+3=x-4 I really need help on this question
Subtract x from both sides
2x + 3 - x = -4
Simplify 2x + 3 - x to x + 3
x + 3 = -4
Subtract 3 from both sides
x = -4 - 3
Simplify -4 - 3 to -7
x = -7
2x+3=x-4
2x-x= -4-3
x= -7
Check answer by using substitution method
2(-7)+3= -7-4
-14+3=-11
-11=-11
Answer is x=-7
there are 239 people in the first six rows of the movie theater if the same number of people are in the next six rows about how many people are in the first 12 rows
Answer:
478 people
Step-by-step explanation:
All you need to do for this problem is simply multiply 239 by 2. If the first 6 rows are 239 people, and so are the next 6, that's all you need to do.
239*2=478
a large bottle of water holds 2 liters. for numbers 10a-10e choose yes or no to tell whether the container will hold all of the water.
10a.kitchen sink/ yes or no
10b.water glass/ yes or no
10c.ice cube tray/yes or no
10d.large soup pot/yes or no
10e.lunchbox thermos/yes or no
Answer:
See below
Step-by-step explanation:
This question is about estimation of volumes. Think of a 2 L bottle of pop or a 2 L carton of milk. Could its contents fit inside
a. a kitchen sink? Yes. Even a small kitchen sink can hold a volume of 2 L. b. a water glass? No. A typical water glass has a volume of about 0.2 L. c. an ice cube tray? No. A typical ice cube tray may hold more than a water glass, say, about 0.5 L. d. a large soup pot? Yes. A large soup pot can hold up to 20 L of liquid. e. a lunch box thermos? No. A typical lunch box thermos may have a volume of 0.4 L .Inferences about Data Distributions
choices
mean is higher than the median
median is higher than the mean
same mean, different standard deviation
same standard deviation, different mean
Answer:
1. same standard deviation, different means
2. same mean, different standard deviation
3. median is higher than the mean
4. mean is higher than the median
Step-by-step explanation:
First, rewrite 14/25 and 11/20 so that they have a common denominator. Then, use <, =, >
to order 14/25 and 11/20 . answer all please
A 14/25 =___
B 11/20 = ___
C 14/20 _ 11/20
Answer: 14/25 = 56/100
11/20 = 55/100
14/25 > 11/20
Step-by-step explanation:
The least common multiple of 20 and 25 is 100.
(100 = 20*5, 25*4)
So we can take the common denominator 100.
14*4/25*4 =56/100. ∴14/25 = 56/100
11*5/20*5 =55/100. ∴11/20 = 55/100
56>55
∴56/100 > 55/100
∴14/25 > 11/20
Hope it's good;)
Can someone PLZZZZ HELP!!!!
Answer:
The solution is:
Part A. [tex]\sqrt{5}^{\frac{7k}{3}})[/tex] which is sqrt(5)^7k/3[/tex]
Part B. k = 18/7
Step-by-step explanation:
Part A.
To solve this part, we're going two use THREE important properties of exponents:
1. [tex](x^{n})^{m} = x^{nm}[/tex]
2. [tex]\frac{x^{n}}{x^{m}} = x^{n-m}[/tex]
3. [tex]\sqrt[n]{x^{m}} = x^{\frac{m}{n} }[/tex]
Let's work the numerator using the properties 1, 2 and 3:
[tex](\sqrt{5}^{3} )^{\frac{k}{9} } } = (\sqrt{5}^{3\frac{k}{9}}) = (\sqrt{5}^{\frac{k}{3}})[/tex]
Let's work the denominator using the properties 1, 2 and 3:
[tex](\sqrt{5}^{6} )^{-\frac{k}{3} } } = (\sqrt{5}^{6\frac{k}{3}}) = (\sqrt{5}^(2k))[/tex]
Now dividing the numerator by the denominator:
[tex]\sqrt{5}^{\frac{k}{3}-(-2k)})=\sqrt{5}^{\frac{7k}{3}})[/tex]
Part B
if [tex]5^{\frac{3}{2} } 5^{\frac{3}{2}} = \sqrt{5}^{\frac{7k}{3}})[/tex]
Then:
[tex]5^{3} = 5^{\frac{7k}{6}})[/tex]
So [tex]\frac{7k}{6}} = 3[/tex]
Solving for k, we have:
k = 18/7
Calculate the equivalent decimals for the following fractions.
a. 1⁄4
b. 2⁄5
c. 2⁄3
d. 3⁄4
Answer:
a. 0.25
b. 0.4
c. 0.66 repeating
d. 0.75
Step-by-step explanation:
a. 1/4 is equal to one quarter which is 0.25
b. 2/5 is equal to 4/10 which equals 0.40 or 0.4
c. 2/3 is 0.6666666 and goes on forever so we would call that a repeating decimal
d. 3/4 is equal to three quarters which would be 0.75
i hope this helps :)
1/4=0.25 2/5=0.4 2/3=0.666666666666667 3/4=0.75