The value of x from the given proportion is 20.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
The given proportion is 7/2 = (x+1)/6
Now, 7×6=2(x+1)
42=2x+2
2x=40
x=20
Therefore, the value of x is 20.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
#SPJ1
Do you think the line on the graph in problem 1 is a good one for this scatter plot? Explain your answer.
The line created is a good representation of a line of best fit
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we can see that the line divides the points on the line evenly
A good line of best fit would have approximately equal number of points on either sides
Hence, the line is a good representation
Read more about line of best fit at
brainly.com/question/1441182
#SPJ1
Work out £1.25 as a fraction of 50p
A 2/5 B 4/1
C
5/2
D 1/4
Answer:
C
Step-by-step explanation:
test taking strategy:
1.25 is bigger than 50p
so any fractions with top smaller than bottom is wrong
so eliminate A and D
B & C remaining
B = 4
4*50p = 2 pounds, so it's wrong
C is right.
double check:
1.25 / 50 = 2.5 = 5/2 correct
a pizza provides 8 grams of fat and 300 total calories in one slice. what is the percentage of calories as fat in this pizza slice? hint: use the formula: (no.of calories from fat / total calories) x 100
The 24% of the calories in one slice of pizza come from fat.
To find the percentage of calories from fat in one slice of pizza, we use the formula:
(Calories One gram of fat provides 9 calories, so 8 grams of fat provide 8 x 9 = 72 calories.
Therefore, the percentage of calories from fat in one slice of pizza is:
(72 / 300) x 100 = 24%
Calories are units of energy that a food or drink produce. we can normally find calorie numbers listed on food items, and wearables like the best fitness trackers allow you monitor how many calories you are burning by doing different activities.
To know more about Calories:
https://brainly.com/question/22374134
#SPJ4
the life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. refer to exhibit 6-6. what is the probability that a randomly selected tire will have a life of at least 47,500 miles? a. .4332 b. .9332 c. .0668 d. .1459
The probability that a randomly selected tire will have a life of at least 47,500 miles is 6.68%, which corresponds to answer choice c: .0668.
Probability is a mathematical concept that measures the likelihood or chance of an event occurring.It is a number between 0 and 1, with 0 designating an impossibility and 1 indicating a certainty. The probability of an event is calculated as the number of favorable outcomes divided by the number of possible outcomes.
The probability that a randomly selected tire will have a life of at least 47,500 miles can be found using a normal distribution and the z-score formula.
The z-score is calculated as follows:
z = (47,500 - 40,000) / 5,000 = 3.5
Using a standard normal table or calculator, we can find the cumulative probability associated with a z-score of 3.5. The probability that a randomly selected tire will have a life of at least 47,500 miles is:
P(X >= 47,500) = 1 - P(X < 47,500) = 1 - .9993 = .0007
Therefore, the answer is: c. .0668
Learn more about probability here:
https://brainly.com/question/14289833
#SPJ4
In the diagram,
1. Describe the relationship between
2. Write an equation for the angle relationship and solve for x.
3. Check your solution to the equation.
4 What is the measure of
Answer:
1. angle BAC and angle CAD are a linear pair. This means they both angle measures add up to 180 degrees.
2. 180= x + 132
3. 132+48 = 180
4. Angle BAC= 48 degrees.
Step-by-step explanation:
2. To solve for x, subtract 132 from both sides.
please help me with this question
Answer:
angle 4 is 44°
Step-by-step explanation:
180-93=87 (straight line)
180-49-84=44 (triangle)
Rewrite f(t) = 0.4 * (1.16) ^ (t - 1) in the form y=a(1+r)^ prime .y=a(1-r)^ prime to determine whether it represents exponential growth or exponential decay Round a and to the nearest hundredth if necessary
Answer:
y = -0.916 * (1 - 0.140)^t
Step-by-step explanation:
f(t) = 0.4 * (1.16)^(t - 1)
To rewrite the equation in the form y = a(1 + r)^prime or y = a(1 - r)^prime, we can take the natural logarithm of both sides:
ln(f(t)) = ln(0.4) + (t - 1)ln(1.16)
ln(f(t)) = ln(0.4) + tln(1.16) - ln(1.16)
So,
y = ln(0.4) + tln(1.16)
Now we can rewrite this in the desired form by letting a = ln(0.4) and r = ln(1.16):
y = a + t * r
a = ln(0.4) = -0.916
r = ln(1.16) = 0.140
So,
y = -0.916 + 0.140 * t
y = -0.916 * (1 - 0.140)^t
This form of the equation shows that the function f(t) represents exponential decay. The value of "a" represents the initial value of f(t) and "r" represents the decay rate. Since r is negative, the function decreases over time, which means that the function represents exponential decay.
1. The area of the circular base of a cone is 9π cm², and the slant height of the cone is four times the radius of the cone.
What is the approximate lateral area of the cone?
Use π≈3.14.
Enter your answer rounded to the nearest whole number in the box.
2. Three large cones hang from the ceiling in an office building in front of a bank of windows. The height of each cone is 12 feet and the circumference of the base of each cone is 8π feet. The base and 70% of the lateral surface of each cone is painted red, and the rest of each cone is painted black.
What is the total surface area painted black? Use π≈3.14.
Enter your answer, rounded to the nearest tenth, in the box.
If the area of the circular base of a cone is 9π cm². lateral area of the cone is 36π cm² and the the total surface area painted black is approximately 43.2π square feet.
How to find the lateral area and total surface area?1. Let's call the radius of the circular base "r". The area of the circular base is 9π, so:
r² = 9
r = 3
Since the slant height is four times the radius, the slant height is 4 * 3 = 12.
The lateral area of a cone can be calculated using the formula:
A = π * r * l
Where:
r = radius
l = slant height
Plugging in the values, we get:
A = π * 3 * 12
A = 36π
2. Let's call the radius of each cone "r" and the circumference of the base of each cone is 8π, so:
2 * π * r = 8π
r = 4
The lateral surface area of a cone can be calculated using the formula:
A = π * r * l
Where:
r = radius
l =slant height
Plugging in the values, we get:
A = π * 4 * 12
A = 48π
Since 70% of the lateral surface area is painted red, 30% is painted black. So, the total surface area painted black for each cone is:
0.3 * 48π
= 14.4π
And the total surface area painted black for all three cones is:
3 * 14.4π
= 43.2π
Therefore the approximate lateral area of the cone is 36π cm² and the total surface area painted black is approximately 43.2π square feet.
Learn more about lateral area and total surface area here:https://brainly.com/question/14642720
#SPJ1
If Figure A is R = 5 ft and Figure B is 2 ft and the Volume is 88 cu ft, so..
Whats the volume of Figure A?
Volume of figure A is 1375 cu ft
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Given,
Figure A ~ Figure B
In Figure A R = 5.
In Figure B R = 2.
Scale factor between Figure A and Figure B = 5/2
Volume of B = 88 cu ft
πR²h = 88
π2²h = 88
h = 88/4π
h = 22/π
Height of figure A = 5/2×height of figure B
Volume of figure A
= πR²h
= π5²×5/2×22/π
= 125 × 11
= 1375 cu ft
Hence, 1375 cu ft is volume of figure A.
Learn more about scale factor here:
https://brainly.com/question/29047298
#SPJ1
1. Carlie used a
coupon and paid $9.99
for pizza that
normally costs
$14.99. What is the
percent of change?
well, the change is just 14.99 - 9.99 = 5 bucks.
now, the change in relation to the original price, that is 14.99(origin amount) which is the 100%, what is 5 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 14.99 & 100\\ 5& x \end{array} \implies \cfrac{14.99}{5}~~=~~\cfrac{100}{x} \\\\\\ 14.99x=500\implies x=\cfrac{500}{14.99}\implies x\approx 33.36[/tex]
A
B
F
tc
E
D
Which are vertical angles?
O ZAFE and ZBFD
OZBFC and ZDFE
O ZAFE and ZCFD
O ZBFC and ZEFA
Based on the line segments, the vertical angles include the following: A. ZAFE and ZBFD.
What is the vertical angles theorem?In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.
Since both line segment AB and line segment BE are interesting lines, we can reasonably infer and logically deduce that they are congruent and as such the magnitude of angle ZAFE is equal to angle ZBFD in accordance with the vertical angles theorem.
Read more on vertical angles theorem here: brainly.com/question/17876852
#SPJ1
The number 125 is a term of the sequence defined by the explicit rule f(n) = 3n + 2. Which term in the sequence is 125? Show all steps and reasoning.
The number 125 is a 41st term of the sequence defined by the explicit rule f(n) = 3n + 2.
What is an arithmetic sequence?A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
Given:
The sequence defined by the explicit rule,
f(n) = 3n + 2.
The number 125 is a term of the sequence.
To find the term,
125 = 3n + 2
3n = 123
n = 41
Therefore, the term is 41.
To learn more about the arithmetic sequence;
https://brainly.com/question/29616017
#SPJ1
16) show all ur equation steps
The system of equations has unique solution (4, -17).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=-6x+7--------(I) and 4x+3y=-35 --------(II).
Substitute equation (I) in equation (II0, we get
4x+3(-6x+7)=-35
4x-18x+21=-35
-14x=-56
x=4
Substitute x=4 in equation (I), we get
y=-6(4)+7
y=-24+7
y=-17
So, solution is (4, -17)
Here, a₁=6, b₁=1, c₁=-7
a₂=4, b₂=3 and c₂=35
Now, 6/4 = 1/3
3/2≠1/3
Equations has unique solution (Intersecting lines)
Therefore, the system of equations has unique solution (4, -17).
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ1
How does the human ear canal is on average 2.5 cm long and aids in hearing?
In conclusion, the length and structure of the human ear canal affect hearing by amplifying specific frequencies of sound and shielding the inner ear from strong sounds.
What is length?The measurement or expanse of something from end to end is defined as length. In other terms, it is the greater of the two or the highest of three geometrical forms or objects' dimensions. A rectangle, for example, has length and width dimensions.
Here,
The human ear canal is 2.5 cm long on average, and its form and length are crucial in hearing. Sound waves enter the ear canal and are directed towards the eardrum, which vibrates. These vibrations are subsequently conveyed to the middle ear bones, which enhance and transport the sound to the inner ear. The length and structure of the ear canal aid in the amplification of some frequencies of sound over others, a phenomenon called as resonance. This resonance improves the ear's capacity to detect particular sounds, such as speech, and makes them easier to hear.
To know more about length,
https://brainly.com/question/13194650
#SPJ4
What number represents an elevation of 735 feet below sea level?
Answer: -735
Step-by-step explanation:
735 feet below sea level is just 735 below 0, so -735 :)
you have been cruising at fl 230, and you forget to set your altimeter to the local altimeter setting during your descent. if field elevation is 303 feet and the altimeter setting is 30.02, what will your altimeter indicate after landing?
The altimeter will indicate a reading of 22,697 feet.
Standard deviation is a measure of variability in a dataset. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. This measure indicates how much variation exists in a dataset.
If you are at an altitude of Flight Level 230 (23,000 feet) and forget to set your altimeter to the local altimeter setting during descent, your altimeter will indicate different readings depending on the field elevation and the local altimeter setting.
To calculate the difference between the two, we use the standard deviation formula. Specifically, we calculate the difference between the local altimeter setting and the field elevation, and subtract that difference from the Flight Level. The standard deviation formula then looks like this:
Flight Level - (Local Altimeter Setting - Field Elevation)
In our example, the equation would look like this:
23,000 - (30.02 - 303) = 22,697
It is important to note that when making such calculations, the Flight Level should always be expressed in feet, rather than in thousands of feet.
By using the standard deviation formula and keeping track of settings like local altimeter setting and field elevation, pilots can ensure that their altimeter readings are accurate and that their aircraft will land safely
To know more about Standard deviation here,
https://brainly.com/question/16555520
#SPJ4
Shopping at savers mart, Lisa buys her children four shirts and three pairs of pants for $85.50. She returns the next day and buys three shirts and five pairs of pants for $115.00. What is the price of each shirt and each pair of pants?
Cost of 1 shirt=$7.5 and 1 pant cost=$18.5
What are linear equations?A linear equation is an equation where the optimal strength of the variables is usually unity. 1 Diploma Also known as the equation. The trend form of a single-variable linear equation is of the form Ax + B = 0. where x is a variable, A is a coefficient, and B is a constant. The trendy form of linear equations in variables is of the form Ax + By = C. where x and y are variables, A and B are coefficients, and C is a constant.
Now for the given Question:
Let the cost of shirt and pant be x and y respectively.
Then the linear equations will be;
3x+5y=115 (1)
4x+3y=85.5 (2)
Now we will balance the coefficient of x in both the equation so
multiplying equation 1 and 2 with 4 and 3 respectively then the equations become,
12x+20y=460 (3)
12x+9y=256.5 (4)
subtracting equation 4 from 3 we get
11y=203.5
y=203.5/11
y= $18.5
substituting above value of y in equation 1 we get
4x+5*18.5=85.5
4x+55.5=85.5
4x=85.5-55.5
4x=30
x=30/4
x=$7.5
Hence cost of shirt and pant are $7.5 and $18.5 respectively.
To know more about Algebraic equation visit:
https://brainly.com/question/723406
#SPJ1
I'm quite confused on this question. (will thanks and rate!)
make the calculation correct something - 13.2 =200
13.2% of 200 would be 26.4
What is a Percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. It is frequently represented by the percent sign, "%".
A percentage is a dimensionless number; it has no unit of measurement
13.2% of 200 would be:
13.2% is represented as:
13.2/100
Thus, 13/100 * 200 would be 26.4
Read more about percentages here:
https://brainly.com/question/24877689
#SPJ1
13.2% of 200 = ?
What is 13.2 percent of the number 200
in a certain residential suburb, 60% of all households get internet service from the local cable company, 80% get television service from that company, and 50% get both services from that company. question at position 6 6 2 points question at position 6 if a household is randomly selected, what is the probability that it gets at least one of these two services from the company, and what is the probability that it gets exactly one of these services from the company? show work for full credit. you can include a picture.
If 60% of household use internet service and 80% use television service , then the probability that at least one of these two services from the company is 90% .
the percent of house hold that use internet service from company is = P(I) = 60% ;
the percent of house hold that use television service from the company is = P(T) = 80% ;
the percent of house hold that use both the services= P(I & T) = 50% ;
So , the probability that at least one of these two services from the company is calculated as : P(I or T) = P(I) + P(T) - P(I&T)
⇒ P(I or T)= 60 + 80 - 50 ;
⇒ P(I or T)= 90% .
Therefore , the required probability is 90% .
The given question is incomplete , the complete question is
In a certain residential suburb, 60% of all households get internet service from the local cable company, 80% get television service from that company, and 50% get both services from that company.
What is the probability that it gets at least one of these two services from the company ?
Learn more about Probability here
https://brainly.com/question/24756209
#SPJ4
In general, which of the following is the least appropriate measure of central tendency for data sets that contain outliers?
a. mean
b. median
c. mode
The mean is the least appropriate measure of central tendency for data sets that contain outliers.
The correct option is a.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
Given:
These numbers, which were determined from the ranking data, are not affected by outliers.
In contrast, the mean is determined by utilizing all the data.
Additionally, mean is sensitive to outliers.
Therefore, if the data set contains outliers, the mean is the least suitable measure of central tendency.
To learn more about the mean;
brainly.com/question/13451489
#SPJ1
please Solve for X
ASAP
the bear population in a given area is increasing at a rate of 2% per year. the population is currently about 1580. if this trend continues what is the predicted population after 8 years?
Using Compound Interest, The population of bears would be 1851 after 8 years with 2% increase every next year.
Compound interest is defined.
Savings interest that is calculated on both the principal and the interest accrued over the course of prior periods is called compound interest. The monthly compound interest formula is used to get the compound interest every month. The formula for compound interest is as follows: CI = P(1 + (r/12)). 12t - P, where t is the passing of time, P is the total amount of the principal, and r is the interest rate in decimal form.
Formula: Amount = P(1+r/100)ⁿ
where, P is principle
r is rate of increase in the given time period
n is time in years
Given that,
P = 1580
r = 2%
n = 8 years
∴ Population of bear = 1580(1 + 2/100)⁸
= 1580(1+0.02)⁸
= 1580(1.02)⁸
= 1580(1.171)
= 1851
Thus, the population of bears would be 1851 after 8 years.
Visit here to learn more about compound interest :
brainly.com/question/14295570
#SPJ4
The bar graph shows the number of floral arrangement sales each day for one week. What percent of the sales were on Friday or Saturday? Round to the nearest hundredth of a percent.
The percent of sales happened on Friday and Saturday are respectively, 26.3% & 31.6%
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
The bar graph,
In which, Horizontal digits are representing number of shirts,
And vertical component is representing week days
The number of shirts sold on Friday = 50
The number of shirts sold on Saturday = 60
Percentage of sales on Friday = ?
Percentage of sales on Saturday = ?
Total sales = Monday + Tuesday + Wednesday + Thursday + Friday + Saturday
= 15+ 10 + 20 + 35 + 50 + 60
= 190
Percentage of sales on Friday = (50/190)x100
= 26.300 %
Percentage of sales on Saturday = (60/190)x100
= 31.600 %
Therefore, the percentage on Friday and Saturday are respectively, 26.3% & 31.6%
To know more about Percentage check:
https://brainly.com/question/29306119
#SPJ1
How much do you have to pay for the jacket?
Answer: $1,393.00
Step-by-step explanation:
a ______ is a way to organize qualitative data into categories and record the number of observations in each category.
Frequency distribution is a way to organize qualitative data into categories and record the number of observations in each category.
Differentiate between frequency distribution and relative frequency ?
A frequency distribution lists how frequently each category of data occurs, but a relative frequency analysis lists how frequently each types of information occurs.
One approach to organise data is to use a "frequency distribution," which can be done by listing the data, placing it in a table, or displaying it in a graph. Then, the list's entries (distinct values) are counted in terms of how frequently they have occurred.
Define relative frequency distribution
A "relative frequency distribution," on the other hand, refers to the percentage of the total number of observations that fall into a certain group. Divide each frequency by the total amount of data in the sample to obtain this.
what is qualitative data ?
Quantitative data are counts or measures, whereas qualitative data describe categories. Examples of qualitative data include eye colours and shoe brand names in a consumer survey. Examples of quantitative data are student heights and test results.
To know more about qualitative data visit :
https://brainly.com/question/14280756
#SPJ4
The polling results show the ratio of votes for Candidate A to Candidate B.
Candidate A Candidate B
8 14
12 21
20 35
32 ?
At this rate, if Candidate A received 32 votes, how many votes did Candidate B receiver
ANSWER OPTIONS
36
50
54
56
The number of votes received by Candidate B is given as follows:
56 votes.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
The input and output variables for this problem are given as follows:
Input: number of votes received by Candidate A.Output: number of votes received by Candidate A.Hence the constant of the relationship is given as follows:
k = 35/20
k = 1.75.
Meaning that the equation is given as follows:
y = 1.75x.
If Candidate A received 32 votes, the number of votes received by Candidate B is given as follows:
y = 1.75 x 32
y = 56 votes.
More can be learned about proportional relationships at https://brainly.com/question/7723640
#SPJ1
Answer:
56
Step-by-step explanation:
took test
What is the location of point E?
Please help!
Answer:
I don't understand ur question.
Step-by-step explanation:
Please there is no picture or complete
poker hand, consisting of five cards, is dealt from a well-shuffled standard deck (no joker cards). find the probability that the hand contains the cards described.
The probability of getting a specific poker hand, consisting of five cards, dealt from a well-shuffled standard deck (no joker cards) can be found by using combinations and permutations.
The number of ways to choose five cards from a deck of 52 is given by the combination formula :
C(52,5) = 2,598,960
To find the number of ways to get a specific hand, we need to consider the number of ways to arrange the cards in that hand, which is given by the permutation formula :
P(5,5) = 5!.
For example, to find the probability of getting a straight flush, which is five cards of the same suit in numerical order, there are 4 possible suits, and 10 possible ways to get a straight (A, 2, 3, 4, 5; 2, 3, 4, 5, 6; ...; 9, 10, J, Q, K).
Therefore, the probability of getting a straight flush is:
4 * 10 / C(52,5) = 0.00139.
To find the probability of other hands, such as a flush, a full house, etc., we need to follow a similar process of counting the number of ways to get that hand and divide it by the total number of possible hands.
Learn more about probability :
https://brainly.com/question/11234923
#SPJ4
Which is written in slope-intercept form?
y=x²+3x-7
y-4=2(x+7)
2x-4y=15
y=2x-5