Answer:
1. 7.1
2. 11.5
3. 24.2
Step-by-step explanation:
you use P.E.M.D.A.S. for all the equations.
so you do thr multiplication and then the addition
1. 2(1.8)+3.5= 3.6+3.5= 7.1
2. 2(4)+3.5= 8+3.5=11.5
3.2(6.9)+3.5= 13.8+3.5= 24.2
hope this helps
8-21. Inspect each data set below and the statement made about it. Each statement is false. Without making any calculations, determine how you can explain or justify that the statement is false. a. "The set of 24, 25, 26, and 28 has a mean of 30." b. "15 is the median of this data set: 12, 14, 15, 13, and 16."
The first statement about mean is false.
The second statement about median is false.
What is mean and median?
The "mean" is the "average" of any data set. Sum of all the data and dividing that by the number of data will give the mean.
The "median" is the "middle" value in the given list of data.
At the first statement the values are 24,25,26,28.
Now the smallest value is 24 and the greatest value is 28. so the average or mean must be in between 24 and 28. It cant exceeds the value 28.
Here given that mean is 30 which is obviously greater than 28. So it cant be the mean of the given data set.
At the second statement the data are 12,14,15,13,16.
The listed values are not in ascending order Without making the values in ascending order we cant find the median. Now if we arrange the values in ascending order the list will be 12,13,14,15,16.
As there are 5 terms so there are odd number of terms. For that the median must be the middle value which is 14.
But here median is 15.
So it cant be the median of the data.
Hence both the statements are false.
To know more about mean and median
https://brainly.com/question/14532771 from the link.
#SPJ1
what is 4/5 divided by 2/3 simplest
Answer:
1 1/5
Step-by-step explanation:
4/5 ÷ 2/3
4/5 × 3/2
12/10
6/5
1 1/5
4(xy)² – 2x + 5y for x = 6 and y
=2
Answer:
574
Step-by-step explanation:
3. Put the following in order from least to greatest.
e^4, 23, e^2, 3e, e^e
I need help
I need help
I need help
I need help
I need help
I need help
I need help
The sequence is decreasing as n increases and sequence converges to the value 0.
The given sequence is defined as aₙ = 1 / (7n + 3).
To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.
As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.
The sequence converges to the value 0.
The sequence is decreasing as n increases.
The sequence converges to the value 0.
To learn more on Sequence click:
https://brainly.com/question/21961097
#SPJ1
I have provided a picture
The regression equation is y = 28.0 + 0.0510x.
The best predicted temperature at a time when the cricket chirps 3000 times in 1 minute, based on the regression equation is 181°F.
What is wrong with this predicted temperature: B. It is unrealistically high. The value 3000 is far outside of the range of observed values.
How to determine the line of best fit?In this scenario, the chirps in 1 min would be plotted on the x-axis (x-coordinate) of the scatter plot while the temperature would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
From the scatter plot (see attachment) which models the relationship between the chirps in 1 min and the temperature, a regression equation or an equation for the line of best fit is given by:
y = 28.0 + 0.0510x
When x = 3000, the temperature can be calculated as follows;
y = 28.0 + 0.0510(3000)
y = 181°F
In conclusion, a temperature of 181°F is unrealistically too high because a chirps of 3000 times in 1 min is an outlier.
Read more on scatter plot here: brainly.com/question/28605735
#SPJ1
What is an equation of the line that passes through the point ) (8,−5) and is parallel to the line
5x+4y=24?
By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.
The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.
To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.
Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.
Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.
For more such questions on equation.
https://brainly.com/question/16949303
#SPJ11
Three of 25 students in an art class are left-handed. in another words, 12% of the students in the class are left handed what does number 3 represent
Answer:
The number of students that are left handed
Step-by-step explanation:
Answer:
it represent 3 students
Eliana opened a savings account and deposited $300.00. The account earns 13% interest, compounded annually. If she wants to use the money to buy a new bicycle in 3 years, how much will she be able to spend on the bike?
Answer:
$432.87Step-by-step explanation:
Use below compound interest formula and the given data.
\(F = P*(1 + r)^{nt}\)F- future amount, P- invested amount, r - interest rate, n - number of compounds, t- time
Given:
P = $300r = 13% or 0.13t = 3 yearsn = 1Find the amount after 3 years:
\(F = 300(1 + 0.13)^3 = 432.87\)Identify the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) h(x) = 5 squareroot xe^-x increasing decreasing
The function h(x) = 5 square root x e^-x is increasing on the interval (0, ∞) and decreasing on the interval (-∞, 0).
1. Calculate h'(x) = 5 (1/2 x^-1/2 e^-x - x^1/2 e^-x)
2. Set h'(x) = 0 to find the critical points.
3. Since h'(x) < 0 for x < 0 and h'(x) > 0 for x > 0, h(x) is decreasing for x < 0 and increasing for x > 0.
4. Therefore, h(x) is increasing on the interval (0, ∞) and decreasing on the interval (-∞, 0).
The derivative of h(x) = 5 square root xe^-x is h'(x) = 5 (1/2 x^-1/2 e^-x - x^1/2 e^-x). Setting h'(x) = 0 gives the critical points of the function. Since h'(x) is negative for x < 0 and positive for x > 0, this tells us that the function is decreasing for x < 0 and increasing for x > 0. So, h(x) is increasing on the interval (0, ∞) and decreasing on the interval (-∞, 0). We can also conclude from the graph of the function that it is concave down for x < 0 and concave up for x > 0.
Learn more about function here
https://brainly.com/question/29633660
#SPJ4
The perimeter of a rectangle is 52 inches, and the area is 160 square inches. Find the length and width of the rectangle.
Answer:16x16
Step-by-step explanation:
A marine biologist measured one dish that was 1 1/4 of a foot and a second fish that was 3/4 of a foot long. How much longer was the first fish
Answer:
1/3 foot longer
Step-by-step explanation:
2/3-1/3=1/3
Suppose two initial vectors intersect at a right angle and form a resultant vector. The magnitudes of one initial vector, A, and the resultant vector, R, are given.
Which formula can be used to find the magnitude of the other initial vector, B?
Answer:
Step-by-step explanation:
B = √(R² - A²)
ion #3: On the same set of aces, graph and label triangle Q'R'S', the image of QRS after a dilation with a scale factor of 3/2 centered at the origin. am
The scale factor of (3/2) means that we multiply each coordinate of each point by (3/2). Let's write the coordinates of the Triangle already drawn.
\(\begin{gathered} Q=(-2,2) \\ R=(2,0) \\ S=(4,6) \end{gathered}\)Let's find Q'R'S' by multiplying each coordinate with (3/2). So,
\(\begin{gathered} Q^{\prime}=(-2\times\frac{3}{2},2\times\frac{3}{2})=(-3,3) \\ R^{\prime}=(2\times\frac{3}{2},0\times\frac{3}{2})=(3,0) \\ S^{\prime}=(4\times\frac{3}{2},6\times\frac{3}{2})=(6,9) \end{gathered}\)Let's draw the transformed triangle:
The red is QRS and the blue one is Q'R'S'
write the greatest and least number by using the following digits with out repeating any of the digits. 2,5,1,6,3,0,8,7
Answer:
87653210=highest
01235678=least
Answer:
Least number: 10235678
Greatest number: 87653210
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
More can be learned about the Pythagorean Theorem at brainly.com/question/30203256
#SPJ1
Xian and his cousin Kai both collect stamps. Xian has 52 stamps, and Kai has 72 stamps. The boys recently joined different stamp-collecting clubs. Xian's club will send him 20 new stamps per month. Kai's club will send him 16 new stamps per month. After how many months will Xian and Kai have the same number of stamps? How many stamps will each have?
After months Xian and his cousin will have stamps each.
Answer:in 5 months xian and kai will have the same amount of stamps, the amount of stamps they will have is 152 by the time the 5 months come.
Step-by-step explanation:
I provided an attachment showing you how to solve this problem. Hope it helps!
Alfred has a coupon for 35 cents off a 32-ounce bottle of detergent that sells for $1.39. Another brand offers a 20-ounce bottle for 79 cents. If he uses the coupon, which will be the better buy?
The detergent with the coupon is the better buy since it has a lower price per ounce.
To determine which option is the better buy, we need to compare the prices per ounce for each detergent brand.
First, let's calculate the price per ounce for the 32-ounce bottle of detergent after applying the coupon:
Price per ounce = (Price - Coupon) / Ounces
Price per ounce = ($1.39 - $0.35) / 32
Price per ounce = $1.04 / 32
Price per ounce ≈ $0.0325
Next, let's calculate the price per ounce for the 20-ounce bottle of the other brand:
Price per ounce = Price / Ounces
Price per ounce = $0.79 / 20
Price per ounce = $0.0395
Comparing the two price per ounce values, we can see that the price per ounce for the detergent with the coupon is approximately $0.0325, while the price per ounce for the other brand is $0.0395.
Therefore, the detergent with the coupon is the better buy since it has a lower price per ounce.
For more questions on price
https://brainly.com/question/14923834
#SPJ11
Please help me this is 7th grade math all you have to do is find the slope for the graph if it is right i will give you brianliest
Answer:
-10/2 or -5 for the slope
Step-by-step explanation:
rise over run: it's going down 10 and over 2 or
for every 5 down it goes 1 over
How do you isolate the variable in an inequality?
For one to isolate the variable by using equation rules. Inverse inequality sign if multiplying/dividing by negative. Steps to isolate variable in inequality: Simplify, move constants with inverse operations. Divide coefficient to isolate variable. Reverse direction if using negative number.
What is the variable?Inequalities require you to apply the same principles as those used in equations when isolating a variable. For example, if there is an inequality 3x - 5 < 7. one can isolate the variable, by first:
Add 5 to both sides to be: 3x < 12.
Then divide both sides by 3: x < 4.
So, the variable x is one that is isolated, and the solution to the inequality is one where x < 4.
Learn more about inequality from
https://brainly.com/question/24372553
#SPJ1
i’ll literally give you 45 points but please answer it correctly i have a D in math class
I wrote out the answers on top of the sheet. Hope this helped!
Make a number line and mark the points that represent the following values of x.
x squared=16
Please mark where this is suppose to go on the number line :)
Answer:
Positive 4
Step-by-step explanation:
4 squared is equal to 16 as 4 x 4 = 16. However, if it was -4 squared, it would equal -16.
Simplify 8 . 3 . X
A.13x
B.24x
C.22x
D.48x
Answer:
D. 48x
Step-by-step explanation:
sana nakatulong
what is 5/9 + 1/5= ??
Answer:
34/45
Step-by-step explanation THERE IS NO NEED 5/9 +1/5=34/45
2 (4 + 3y) = -2(4 + y)
The sum of two consecutive numbers is
27. Find the two numbers.
Answer: 14 and 14
Step-by-step explanation:
So u would Since 13 and 14 are both consecutive integers and their sum is 27, we have our answer.
The symbols "<" and ">" are called
Answer:
< is less than
> is greater than
Step-by-step explanation:
< is less than
> is greater than
Find the area of a square with a side of length 2 Square root of 3+6 square root of 7 inches
Answer:
(264+24√21) in²Step-by-step explanation:
Area of a square = Length * Length
A = L²
Given the length of a square as \(2\sqrt{3}+6\sqrt{7}\) inches' The area of the square will be calculated as shown;
\(A = (2\sqrt{3}+6\sqrt{7})^2\\\\A = (2\sqrt{3}+6\sqrt{7})(2\sqrt{3}+6\sqrt{7})\\\\A =(2\sqrt{3})(2\sqrt{3})+(2\sqrt{3})(6\sqrt{7})+(6\sqrt{7})(2\sqrt{3})+(6\sqrt{7})(6\sqrt{7})\\\\A = 4\sqrt{9}+12\sqrt{21}+12\sqrt{21}+36\sqrt{49}\\\\A = 4(3)+24\sqrt{21}+36(7)\\ \\A = 12+24\sqrt{21}+252\\\\A = 264+24\sqrt{21}\)
Hence the area of the square is (264+24√21) in²
What is the surface area of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
The radius is 10mm and the height is 5mm
Answer:
942 square millimeters.
Step-by-step explanation:
The formula for the surface area of a cylinder is:
S = 2πr^2 + 2πrh
where S is the surface area, r is the radius, and h is the height.
Substituting the given values, we get:
S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5
S = 628 + 314
S = 942
Therefore, the surface area of the cylinder is 942 square millimeters.
Evaluate x1 - x1 + x0 for x = 2.
0
1/2
1 1/2
2 1/2
Answer:
the answer is 0
Step-by-step explanation:
hoped I helped:)
Answer: 2 1/2
Step-by-step explanation: