Answer:
C
Step-by-step explanation:
What interval notation represents the data graphed below?
A. [-∞, -2) U [4, ∞]
B. [-∞, -2] U (4, ∞]
C. (-∞, -2] U (4, ∞]
D. (-∞, -2) U [4, ∞)
Answer: Choice D
\((-\infty, -2) \cup [4, \infty)\)
=====================================================
Explanation:
The left portion is the interval (-∞, -2)
This is a shorthand way of saying \(-\infty < x < -2\)
The curved parenthesis says "do not include this endpoint as part of the solution set". Note the open hole at x = -2 in the diagram.
In contrast, the value x = 4 is included (due to the filled in circle), so we use a square bracket for this endpoint. Therefore, the right-hand portion is represented by [4, ∞) which translates to \(4 \le x < \infty\)
Negative and positive infinity will always use a parenthesis, and never a square bracket. This is because we can only approach infinity but never reach it, so we cannot include it as an endpoint.
All of this builds up to the full interval notation to be \((-\infty, -2) \cup [4, \infty)\)
The only square bracket is near the 4; everything else is a curved parenthesis. This is why choice D is the final answer.
44% of the group were rested. The group numbered 76. How many were rested?
Rested numbers in group is 33 out of 76.
What is a percentage?A percentage is expressed as a number or ratio that can be expressed as fraction of 100. It is denoted by % symbol.
Total numbers in a group = 76.
44% of them were rested.
That is 44% of 76.
To find how many are rested we have to find the value in numbers.
Convert 44% of 76 to numbers.
For this, it can be written as
\(\frac{44}{100} *76\) = 33.44
Therefore 44% of 76 ≅ 33 numbers.(approximately)
Hence, rested numbers in group is 33.
Learn more about percentage here:
https://brainly.com/question/16797504
#SPJ1
Manuel paid off 88% of his debt. He originally owed $$$1950. How much does Manuel owe now?
Answer:
234
Step-by-step explanation:
234 because you have to do 1950 - 88% which will get you 234$
If ll m, find the value of each missing variable(s) .
Answer:
1. m=5
2. 2(8x+11)
3.m=7
Step-by-step explanation:
If a rectangle has a base of 6 units, and a helght of 8 units, what Is Its area?
Answer:
Answer is 48
Step-by-step explanation:
6x8 = 48
Hope it helps!
Answer:
area=b•h
6 units • 8 units = 48 units²
What is the value of x.
Step-by-step explanation:
If TR=SR=ST
SO,
all angles are equal
one angle =180/3=60°
but,here,
In angle S =60°
7x+4=60
7x=60-4
7x=56
x=56/7
x=8°
Answer:
The RST\(\huge{\triangle}\) is same in all side,
it is equilateral triangle.
so each angel =180/3=60°
But,
According to the question,
7x+4=607x=60-47x=56x=56/7x=8Terry is the school swimming champion and has won several races. If the ratio of the number of times he's won to the number of races he has swum in is 2 : 3, how many races has he won?
The given information tells us that Terry's wins-to-races ratio is 2:3, but we cannot determine the exact number of races he has won without additional information about the total number of races he has participated in.
If the ratio of the number of times Terry has won to the number of races he has swum in is 2:3, we can set up a proportion to determine the number of races he has won.
Let's denote the number of times Terry has won as x, and the total number of races he has swum in as y. According to the given ratio, we have:
x/y = 2/3
To find the value of x, we need to solve for x when y is known. Since y represents the total number of races, we don't have that information in the given problem. Therefore, we cannot determine the exact number of races Terry has won without knowing the total number of races he has participated in.
The ratio tells us the relationship between the number of wins and the total number of races, but without knowing the denominator (total races), we cannot find a specific value for the numerator (number of wins). We can only determine the ratio between the two quantities.
for similar questions on races.
https://brainly.com/question/24181944
#SPJ8
Troy uses colored sand to make sand art. The storage container for his sand is shaped like a right square prism. He pours some of the sand into a display container shaped like a right triangular prism. When he is done, the height of the sand left in the storage container is 4 in. What is the height of the sand in the display container?
The height of the sand in the display container is 12 inches when the display container is right triangular prism.
What is right triangular prism ?
A right triangular prism is a three-dimensional geometric shape with two parallel triangular bases and three rectangular faces. The rectangular faces connect the corresponding vertices of the triangular bases.
To find the height of the sand in the display container, we need to use the fact that the volume of sand in the storage container is equal to the volume of sand in the display container.
The storage container has a length, width, and height of 6 inch, 6 inch, and 6inche, respectively. Then, the volume of the storage container is:
\(V_{storage} = L * W * H = 6 * 6 * 6 = 216 inch^3\)
Similarly, let's assume that the display container has a base of length 4 inch and height 9 inches and height of sand be H.
Then, the volume of the display container is:
\(V_{display} = (1/2) * b * h * H = (1/2) * 4 * 9 * H = 18H\)
where (1/2) is the area of the triangle base of the display container.
Since the volumes of sand in both containers are equal, we can set these expressions equal to each other and solve for h:
216 = 18H
H = 12 inches
Therefore, the height of the sand in the display container is 12 inches.
To learn more about volume from the given link :
https://brainly.com/question/22023329
#SPJ1
In shop class, Adriana makes a pyramid with a 4-inch square base and a height of 6 inches. She then cuts the pyramid vertically in half as shown. What is the area of each cut surface?
The area of the square pyramid is the amount of space on it
The total surface area of each cut surface is 33.28 square inches
How to determine the surface area of each cut surface?The given parameters are:
Base (b) = 4 cm
Height (h) = 6 cm
Start by calculating the slant height (l) using:
l = √((4/2)^2 + 6^2)
l = 6.32
The lateral surface area is calculated using:
L = 2bl
So, we have:
L = 2 * 4 * 6.32
Evaluate the product
L = 50.56
The total surface area is calculated using:
T = L + b^2
So, we have:
T = 50.56 + 4^2
Evaluate
T = 66.56
Divide the total surface area by 2
T/2 = 33.28
Hence, the total surface area of each cut surface is 33.28 square inches
Read more about areas at:
brainly.com/question/24487155
Multiply.
-3.9(-5.7)(3)
The product is:
Answer:
66.69
Step-by-step explanation:
You start off with -3.9 x -5.7 which gives you a positive, and that positive is 22.23, then you multiply that number by 3, and you get 66.69.
if £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the account after two years?
Answer:
2121.8
Step-by-step explanation:
2000(1+0.03/1)^2
A= P(1+ r/n) ^nt
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
I don't remember what I learned. So, this might be wrong because I googled the formula :)
The graph below represents taxi fares in the city of Chicago. If a woman travels 8.5 miles by taxi, what would you expect her fare to be? Give an estimate to the nearest dollar.
A)
$21
B)
$20
C)
$22
D)
$24
Answer:
C. $22
Step-by-step explanation:
We are given a graph showing the relation between the distance travelled in miles by taxi and the taxi fare.
To find an estimate of how much her taxi fare would be if she travelled 8.5 miles by taxi, simply look 8.5 on the x-axis, then trace it upwards till it meets the line. The point where it meets the line would be the corresponding y-value of x = 8.5.
The point would be (8.5, 22). This means, if the woman travels 8.5 miles, her taxi charges would be approximately $22.
A spinner is divided into three sections: red, blue, and green. The red section is 2/5 of the area of the spinner. The blue section is 1/2 of the area of the spinner. Give the probability for each outcome. Express your answers as fractions.
Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).
Meaning of probability :
Probability is calculation of how likely some event will happen. Whenever we are not sure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are going to happen.
The analysis of events governed by probability is called statistics.
According to the given information :
Red section = \(\frac{2}{5}\)
multiply numerator and denominator by \(2\) we get
Red section = \(\frac{4}{10}\)
Blue section = \(\frac{1}{2}\)
multiply numerator and denominator by \(5\) we get
Blue section = \(\frac{5}{10}\)
Green section = \(1\)- Red section - Blue section
Green section =\(1-\frac{4}{10} -\frac{5}{10}\)
Green section = \(\frac{1}{10}\)
Therefore Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).
Learn more about Probability
https://brainly.com/question/11234923
#SPJ1
12. The circle graph represents the jobs at a digital
animation company with 1540 employees
How many more story artists are there
than interns?
Answer:
231
Step-by-step explanation:
From the pie chart we see that the story artists constitute 20% of the total employee strength of 1540 employees and the interns constitute only 5% of that number
In actual values
Number of story artists = 1540 x 20% = 1540 x 20/100 = 308
Number of interns = 1540 x 5% = 1540 x 5/100 = 77
Difference = 308 - 77 = 231
who is right andrew or annie?
Answer:
andrew
Step-by-step explanation:
What is the value of x? Enter your answer in the box. x = The figure shows 2 right triangles, triangle R S T with right angle S and triangle Q R T with right angle R. The measure of angle R T S is 60 degrees. The measure of angle Q T R is 45 degrees. The length of side R S is 2 square root 3. The length of side Q R is x.
The value of the side QR labelled x is equal to 2√3 using the trigonometric ratio of tan 45° for the right triangle QRT.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
using the trigonometric ratio of tan 45°
{recall that tan 45° = 1}
tan 45° = QR/RT {opposite/adjacent}
tan 45° = x/2√3
x = tan 45 × 2√3 {cross multiplication}
x = 1 × 2√3
x = 2√3
Therefore, the value of the side QR labelled x is equal to 2√3 using the trigonometric ratio of tan 45° for the right triangle QRT.
Know more about trigonometric ratios here: https://brainly.com/question/3457795
#SPJ1
NO LINKS!! URGENT HELP PLEASE!!!! Part 1
For 7 & 9, Given two sides of a triangle, find a range of possible lengths for the 3rd side.
For #11, If a triangle has lengths of 27 m and 11 m, check all the possible lengths for the 3rd side.
Answer:
7) The third side is between 13 cm and 21 cm;9) The third side is between 23 cm and 41 cm;11) The possible lengths for the third side are 17 m, 22 m, 35 m.-----------------------------------
Use triangle inequality theorem:
The sum of lengths of any two sides is greater than the length of the third side.Question 7Given sides:
4 cm, 17 cm, x cmLet the smallest side be 4 cm, then:
4 + x > 17 ⇒ x > 13Let the largest side be x, then:
x < 4 + 17 = 21The third side is between 13 cm and 21 cm.
Question 9Given sides:
9 yd, 32 yd, x ydLet the smallest side be 9 yd, then:
9 + x > 32 ⇒ x > 23Let the largest side be x, then:
x < 9 + 32 = 41The third side is between 23 cm and 41 cm
Question 11Given sides:
11 m, 27 m, x mLet the smallest side be 11 m, then:
11 + x > 27 ⇒ x > 16Let the largest side be x, then:
x < 11 + 27 = 38The third side is between 16 m and 38 m.
Correct choices for possible third side lengths are:
17 m, 22 m, 35 m(note it is m not feet or the initial lengths to be in feet)
Answer:
7. (13, 21)
9. (23, 41)
11. 17 m, 35 m, 22 m
Step-by-step explanation:
Triangle Inequality TheoremThe sum of any two sides of a triangle is greater than the length of the third side.
Question 7Let x be the length of the unknown side of the triangle.
Given two sides of a triangle are 4 cm and 17 cm, then:
(a) The sum of the two given sides is greater than the third side:
\(\implies 4+17 > x\)
\(\implies 21 > x\)
(a) The longest side is 17 cm:
\(\implies 4 + x > 17\)
\(\implies x > 13\)
Therefore, the range of possible lengths for the third side is:
13 < x < 21Interval notation: (13, 21)Question 9Let x be the length of the unknown side of the triangle.
Given two sides of a triangle are 9 yd and 32 yd, then:
(a) The sum of the two given sides is greater than the third side:
\(\implies 9+32 > x\)
\(\implies 41 > x\)
(a) The longest side is 32 yd:
\(\implies 9 + x > 32\)
\(\implies x > 23\)
Therefore, the range of possible lengths for the third side is:
23 < x < 41Interval notation: (23, 41)Question 11Let x be the length of the unknown side of the triangle.
Given two sides of a triangle are 27 m and 11 m, then:
(a) The sum of the two given sides is greater than the third side:
\(\implies 11+27 > x\)
\(\implies 38 > x\)
(a) The longest side is 27 m:
\(\implies 11 + x > 27\)
\(\implies x > 16\)
Therefore, the range of possible lengths for the third side is:
16 < x < 38Interval notation: (16, 38)Note: There must be an error in the question, since the answer options are in feet rather than in meters. As there is approximately 3.3 ft to 1 meter, if we convert the range to feet, the given answer options are out of range by some margin.
Therefore, assuming the unit of measure of the answer options is supposed to be in meters, the possible lengths for the third side of the triangle are:
17 m35 m22 mExpress 83 kilometers per hour in miles per hour.
...
mi/hr
(Round to the nearest hundredth as needed.)
Answer:
83 kilometres per hour =
51.574 miles per hour
if you could fly and every hour u loose 30 feathers in 14 days how many feathers did you loose?
The total number of feathers lost in 14 days if you lose 30 feathers every hour is 10,080 feathers.
How many feathers will you loose?Feathers lost every hour = 30 feathers
How many feathers is lost in 14 days?
1 day = 24 hours
14 days = 24 × 14
= 336 hours
Total number of feathers lost in 14 days = Feathers lost every hour × number of hours in 14 days
= 30 × 336
= 10,080 feathers
Therefore, the total number of feathers lost in 14 days is 10,080 feathers
Read more on multiplications:
https://brainly.com/question/10873737
#SPJ1
At the end of August, a store is trying to get rid of their swimsuits to make room for fall clothes. The price of a swimsuit is reduced $5 each week for 6 weeks. By how much did the price of the swimsuit change during this time? Can someone please help me with these?
Answer: $30
Step-by-step explanation:
if the original price for the swimsuit is $35 and is reduced $5 each week for 6 weeks, it is now $5. It is reduced by $30 during this time.
a national survey asked 1261 US adult fast food customers which meal (breakfast, lunch, dinner, snack) they ordered.
Identify the variable
Is the variable quantitative or qualitative?
What is the implied population?
Answer:
Can you answer mine? I willl answer yours
Step-by-step explanation:
A gym scores their clients on a scale of 1-100 and claims that they can help their clients improve on their
exercises. After two months with a gym membership, eleven gym members are assessed to see how much
they have improved on their exercises.
Here are two different data displays of the same data that represent how much the eleven gym members hav
improved.
Answer:
u need a chart image
Step-by-step explanation:
The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.
If a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.
Answer:
The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:
standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7
To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:
z = (37.4 - 40) / (8 / 7) = -1.225
Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.
give thanks, your welcome <3
Step-by-step explanation:
Complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and a compounded n times a year. Complete the table
The balance for each value of n is calculated by using the formula A = P(1 + r/n) ^nt. The rounded balance values are shown in the last column of the table above.
To complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and compounded n times a year.
The formula for calculating compound interest is as follows:
A = P(1 + r/n) ^nt,
where P represents the principal investment amount, r is the interest rate, n is the number of times the interest is compounded, t represents the time in years, and A represents the total amount, which includes the principal amount and the interest earned.
The table is given below:
\(\begin{array}{|c|c|c|} \hline \text{n} &
\text{A = P(1 + r/n) }^{nt} &
\text{Balance (rounded to nearest cent)} \\ \hline \text{1} &
\text{3100(1 + 0.04/1)}^{1*10} &
\text{\$4788.03} \\ \hline \text{2} &
\text{3100(1 + 0.04/2)}^{2*10} &
\text{\$4798.76} \\ \hline \text{4} &
\text{3100(1 + 0.04/4)}^{4*10} &
\text{\$4817.46} \\ \hline \text{12} &
\text{3100(1 + 0.04/12)}^{12*10} &
\text{\$4861.94} \\ \hline \end{array}\)
The balance is obtained by substituting the values of P, r, n, and t into the compound interest formula.
In this case, the investment is $3100, the annual interest rate is 4%, the investment is for 10 years, and n is the number of times the interest is compounded.
To learn more about : balance
https://brainly.com/question/23447356
#SPJ8
rewrite each expression (2+g)8
Answer:
8×2+8×g
Step-by-step explanation:
Am nevoie de ajutor va rog urgent
Answer:
nu stiu imi pare foarte rau scuze
There is a line that includes the point (4, 4) and has a slope of -1/7
What is its equation in
point-slope form?
Answer:
y=-(1)/(7)x+8
Step-by-step explanation:
Find the total percentage of profit/ loss made on 2 crates of eggs which was bought at N150 per crate and sold for N100 per crate please 6:18 PM
Answer:
-33.3%
Step-by-step explanation:
The percentage loss is the same for 2 crates as for 1 crate.
% loss = (loss/cost) · 100%
% loss = (N100 -N150)/(N150) · 100% = -1/3 · 100% ≈ -33.3%
The percentage loss is 33.3%.
_____
Additional comment
In the above, the minus sign indicates a percentage change that is a loss. If the sign were positive, it would indicate a percentage profit.
Use interval notation to express the set of real numbers x that satisfies the inequality (x+2)(x-5) < 0 HELP!!!!! please thanks :)
The interval notation that expresses the set of real numbers x that satisfies the given inequality is -2 < x <5.
InequalityIt is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).
The solutions for inequalities can be given by: a graph in a number line or numbers.
The question gives the inequality (x+2)(x-5) < 0. And, it asks for the solution using the interval notation .
Therefore, you should follow the next steps.
Firstly, you should analyze each term of the inequality:
(x+2) < 0
x +2 <0
x< -2 (1)
(x-5) < 0
x< 5 (2)
Finally, from results (1) and (2), you should identify the interval. See: -2 < x <5.
Learn more about inequalities here.
brainly.com/question/17448505
#SPJ1
A person who yells at an official who made a bad call is just displaying a competitive spirit. Please select the best answer from the choices provided. T F
Answer:
the answer is false
Step-by-step explanation:
FALSE. A person who yells at an official is not showing a competitive spirit.
What is a Competitive Spirit?A competitive spirit shows the following attributes:
Communicates respectShows sportsmanshipValues process among others.A person yelling at an official is not a way of communicating respect. Therefore, it is FALSE to say it is a display of competitive spirit.
Learn more about competitive spirit on:
https://brainly.com/question/1413909
#SPJ2