Answer:
It is 6 foxes
Step-by-step explanation:
Because if 6 foxes can catch 6 hens in 6 minuets then 6 foxs can can 60 hens in 60 minutes because you just multiply 6 minutes by 10 and get 60 minutes which is also the same for hens.
Answer:
6 foxes
Step-by-step explanation:
For 6 foxes to catch 60 hens (10 x 6 or 10 times more than 6 hens) they will need 10 times more time than they had to catch 6 hens, or 10 x 6 = 60 minutes.
Which of the following is an example of exponential growth?
A. Investing $1,000 at an annual interest rate of 3%, compounded monthly
B. A bacterial culture increases by 1,000 bacteria per day
C. The height of a tree increases by 2 feet each year
D. Water drips into a bucket at a rate of 2 pints each minute
An example of an exponential function is given as follows:
A. Investing $1,000 at an annual interest rate of 3%, compounded monthly.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.As we saw above, the rate of change is a percent, and in this problem, only option A has a rate of change as a percent, hence it is an exponential function.
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Mark made a sandwich that was 5 inches long and 7 inches high. If he cuts
the sandwich in half, what would be the diagonal length of the sandwich?
Explanation
a sanwich which is most commonly a square, has the side lengths of 5 and 5.
cuting this in half will give you a 45-45-90 triangle
the legs will be measure of x, and the hypotonuse will be x[tex]\sqrt{2}[/tex]
so the hypotonuse is 5[tex]\sqrt{2}[/tex]
The diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
How to calculate the lengthUsing the Pythagorean theorem, we can calculate the diagonal length as follows:
diagonal² = length² + height²
diagonal² = (5 inches)² + (3.5 inches)²
diagonal² = 37.25 inches²
Taking the square root of both sides, we find:
diagonal = √37.25 inches
Calculating the square root of 37.25, we get:
diagonal ≈ 6.106 inches
Therefore, the diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
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We want to factor the following expression: (x 3)^2 14(x 3) 49(x 3) 2 14(x 3) 49(, x, plus, 3, ), squared, plus, 14, (, x, plus, 3, ), plus, 49 We can factor the expression as (U V)^2(U V) 2 (, U, plus, V, ), squared where UUU and VVV are either constant integers or single-variable expressions. 1) What are UUU and VVV
Answer:
[tex]U = x[/tex]
[tex]V=10[/tex]
Step-by-step explanation:
Given
[tex](x +3)^2 + 14(x + 3) + 49 = (U + V)^2[/tex]
Required
Find U and V
We have:
[tex](x +3)^2 + 14(x + 3) + 49 = (U + V)^2[/tex]
Expand
[tex]x^2 + 6x + 9 + 14x + 42 + 49 = (U + V)^2[/tex]
Collect like terms
[tex]x^2 + 6x + 14x + 9 + 42 + 49 = (U + V)^2[/tex]
[tex]x^2 + 20x + 100 = (U + V)^2[/tex]
Expand
[tex]x^2 + 10x + 10x + 100 = (U + V)^2[/tex]
Group
[tex][x^2 + 10x] + [10x + 100] = (U + V)^2[/tex]
Factorize each group
[tex]x[x + 10] + 10[x + 10] = (U + V)^2[/tex]
Factor out x + 10
[tex][x + 10][x + 10] = (U + V)^2[/tex]
So, we have:
[tex][x + 10]^2 = (U + V)^2[/tex]
By comparison
[tex]U = x[/tex]
[tex]V=10[/tex]
value of x in 2x-7=35 is
Answer:
x=21
Step-by-step explanation:
2x - 7 = 35
+7 +7
-----------------
2x = 42
----- -----
2 2
x = 21
The answer is 21, hope this helps.
Answer:
x = 21
Step-by-step explanation:
2x - 7 = 35
We need to isolate x. First, we add 7 to both sides.
2x - 7 + 7 = 35 + 7
2x = 42
Now we divide both sides by 2.
2x/2 = 42/2
x = 21
Answer: x = 21
can someone please help me out marking brainliest
whats the differnce in (5x+4)-(x+2)
Answer:
4x+2
Step-by-step explanation:
(5x+4)-(x+2)=(5-1)*x+(4-2)=4x+2
Square root of 64 + cube root of 64 is
Answer:
12
Step-by-step explanation:
[tex]\sqrt{64}[/tex] + [tex]\sqrt[3]{64}[/tex]
= 8 + 4
= 12
Square root of 64 = [tex] \sf \sqrt{64} = \sqrt{8 \times 8} = \boxed{\bf 8}[/tex]
Cube root of 64 = [tex] \sf \sqrt[3]{64} = \sqrt[3]{4 \times 4 \times 4} = \boxed{ \bf4}[/tex]
So,
Square root of 64 + Cube root of 64
[tex] = \sf \sqrt{64} + \sqrt[3]{64} \\ \sf = 8 + 4 \\ = \boxed{ \bf12}[/tex]
12 is the answer of the question asked.
____________
Hope it helps.
RainbowSalt2222
Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.
Two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 1, median at 20, Q3 at 25, maximum at 50. The bottom box plot is labeled Females. Minimum at 0, Q1 at 5, median at 6, Q3 at 10, maximum at 18 and a point at 43
Part A: Estimate the IQR for the males' data. (2 points)
Part B: Estimate the difference between the median values of each data set. (2 points)
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)
Part D: Provide a possible reason for the outlier in the data set. (2 points)
Answer:
The formula for iqr is q3 - q1
24
Step-by-step explanation:
The box plot is a visual way of presenting a dataset where the rectangle is used to represent the quartiles.
The IQR of the male dataset is 24.The difference in median of both datasets is 14.The best measure of center to use for the female box plot is the median. The best measure of center to use for the male box plot is the mean.A possible reason for an outlier is human error.The given parameters are:
Male: Female
[tex]Minimum = 0[/tex] [tex]Minimum = 0[/tex]
[tex]Q_1 = 1[/tex] [tex]Q_1 = 5[/tex]
[tex]Median = 20[/tex] [tex]Median = 6[/tex]
[tex]Q_3 = 25[/tex] [tex]Q_3 = 10[/tex]
[tex]Maximum = 50[/tex] [tex]Maximum = 18[/tex]
A. IQR for male dataset
The IQR is calculated as follows:
[tex]IQR = Q_3 - Q_1[/tex]
For the male's data:
[tex]IQR = 25-1[/tex]
[tex]IQR = 24[/tex]
Hence, the IQR of the male dataset is 24.
B. Difference in median values
We have:
[tex]Median = 20[/tex] ----- Male dataset
[tex]Median = 6[/tex] ----- Female dataset
So, the difference (d) is:
[tex]d = 20 - 6[/tex]
[tex]d = 14[/tex]
Hence, the difference in median of both dataset is 14.
C. Best measure of center
The female box plot (see attachment) has an outlier. This means that the measure of center to use for the female dataset is the median.
The male box plot has no outlier; this means that the mean can be used as a measure of center for the male box plot
D. Reason for outlier
There are several reasons that could cause an outlier in a dataset. One of the reasons is human error during data entry
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Match the vocabulary word to its correct definition.
1. mean
The mean is the average value of the data you collect. In statistics, you find the mean of your sample. Then you use that mean to approximate the mean of the entire population. If you want the mean of the data to be a good approximation of the mean of the entire population, your need to make sure that you collect a random sample. To find the mean, you find the sum of the data points you collected and divide it by the number of data points in the set. For example, if the data you collected was {3, 3, 6}. Then the mean would be (3 + 3 + 6) ÷ 3 = 12 ÷ 3 = 4. It's important to note that the mean does not have to be a data point in your set. You can generalize the formula as well. If you collect n data points {d1, d2, d3, … dn}, then the mean of your data set is . The Greek letter μ—pronounced "mu"—is used because the word "mean" begins with the letter "m." It is important that you divide by the number of data points in your set, n.
2. population
An experiment is a well-defined procedure under controlled conditions designed to gather data that tests a hypothesis. For example, you want to test the hypothesis that flowers grow faster when they are watered every other day as opposed to every day. Then you could water one set of plants every day and another set of plants every other day. What data would you collect? The height of each plant once a day. What conditions would you need to control? You would need to make sure that the groups of plants are treated the same in every other way by getting the same amount of sun and being maintained at the same temperature, etc.
3. experiment
Bias is the preference for a particular group or subset. In the example above, the bias was toward viewers who like sports. When your sample is not chosen at random, you introduce bias into your study. So, in a certain sense, a biased sample is the opposite of a random sample. Why? In a biased sample, some members of the population are more likely to be chosen than others. In a random sample, every member of the population is equally likely to be chosen. Bias may also occur in surveys. See "survey" below for more information on this type of bias.
4. sample
A population is the entire group you want to understand. So, in a certain sense, you can think of the population as the "opposite" of the sample because a sample is not the entire population. A sample is chosen subset upon that you use to draw conclusions about the entire population.
5. bias
Random means free from bias. So, if you choose a random sample from a population, every member of the population has an equal chance of being chosen. It should be pointed out that this "true randomness" is an ideal which is difficult to achieve in real world experiments conducted on real world populations. That is why statisticians make every effort to ensure their samples chosen as free from bias as is possible, that is, as randomly as possible under real world conditions.
6. survey
A sample is a subset chosen from a population. In most cases, you want a random sample. Why? A random sample has the best chance of accurately representing the entire population.
7. random
A survey is the means of collecting a sample. In statistics, a survey is often a question or set of questions. It is critical that the questions, like the sample itself, be free from bias. Bias in a question tends to favor one response. As an extreme example of a biased question about colors might be, "Don't you think blue is beautiful and yellow is yucky?" An unbiased form of the question might be, "Which color do you prefer, blue or yellow?" Though careful, statisticians might be concerned about the order in which the colors are offered, so that might further simplify the question to, "What is your favorite color?" This type of question is most free from bias because it does not suggest a response and therefore does not favor a response.
Answer:
1. mean-The mean is the average value of the data you collect. In statistics, you find the mean of your sample. Then you use that mean to approximate the mean of the entire population. If you want the mean of the data to be a good approximation of the mean of the entire population, your need to make sure that you collect a random sample. To find the mean, you find the sum of the data points you collected and divide it by the number of data points in the set. For example, if the data you collected was {3, 3, 6}. Then the mean would be (3 + 3 + 6) ÷ 3 = 12 ÷ 3 = 4. It's important to note that the mean does not have to be a data point in your set. You can generalize the formula as well. If you collect n data points {d1, d2, d3, … dn}, then the mean of your data set is . The Greek letter μ—pronounced "mu"—is used because the word "mean" begins with the letter "m." It is important that you divide by the number of data points in your set, n.
2. Population-A population is the entire group you want to understand. So, in a certain sense, you can think of the population as the "opposite" of the sample because a sample is not the entire population. A sample is chosen subset upon that you use to draw conclusions about the entire population.
3. Experiment-An experiment is a well-defined procedure under controlled conditions designed to gather data that tests a hypothesis. For example, you want to test the hypothesis that flowers grow faster when they are watered every other day as opposed to every day. Then you could water one set of plants every day and another set of plants every other day. What data would you collect? The height of each plant once a day. What conditions would you need to control? You would need to make sure that the groups of plants are treated the same in every other way by getting the same amount of sun and being maintained at the same temperature, etc.
4. Sample-A sample is a subset chosen from a population. In most cases, you want a random sample. Why? A random sample has the best chance of accurately representing the entire population.
5. Bais-Bias is the preference for a particular group or subset. In the example above, the bias was toward viewers who like sports. When your sample is not chosen at random, you introduce bias into your study. So, in a certain sense, a biased sample is the opposite of a random sample. Why? In a biased sample, some members of the population are more likely to be chosen than others. In a random sample, every member of the population is equally likely to be chosen. Bias may also occur in surveys. See "survey" below for more information on this type of bias.
6. Survey-A survey is the means of collecting a sample. In statistics, a survey is often a question or set of questions. It is critical that the questions, like the sample itself, be free from bias. Bias in a question tends to favor one response. As an extreme example of a biased question about colors might be, "Don't you think blue is beautiful and yellow is yucky?" An unbiased form of the question might be, "Which color do you prefer, blue or yellow?" Though careful, statisticians might be concerned about the order in which the colors are offered, so that might further simplify the question to, "What is your favorite color?" This type of question is most free from bias because it does not suggest a response and therefore does not favor a response.
7. Random-Random means free from bias. So, if you choose a random sample from a population, every member of the population has an equal chance of being chosen. It should be pointed out that this "true randomness" is an ideal which is difficult to achieve in real world experiments conducted on real world populations. That is why statisticians make every effort to ensure their samples chosen as free from bias as is possible, that is, as randomly as possible under real world conditions.
Step-by-step explanation:
It says what each of them are in each paragraph, you just need to match them up.
Hope this helps :)
Does anyone know the answer plz ?
Answer:
x = 5; y = 5
Step-by-step explanation:
One angle is a right angle, so its measure is 90 degrees.
One angle measures 45 degrees, so the unknown angle must also measure 45 degrees.
x and y are opposite two 45-degree angles, so x = y.
In a 45-45-90 triangle, the ratio of the lengths of the sides is
1 : 1 : sqrt(2)
We have
x : y : 5sqrt(2)
x/1 = 5sqrt(2)/sqrt(2)
x = 5
y = 5
The diameter of the Moon is 3.5 × 10^3 km.
The diameter of the Sun is 1.4×10^6 km.
Calculate the ratio of the diameter of the Moon to the diameter of the Sun.
Give your answer in the form 1 : n
Answer:
1 : 400
Step-by-step explanation:
[tex]\frac{3.5 x 10^{3} }{3.5 x 10^{3} } : \frac{1.4 x 10^{6 } }{3.5 x 10^{3} }[/tex]
1 : .4 x [tex]10^{3}[/tex]
1 : 4 x [tex]10^{2}[/tex]
1 : 400
Helpppppppp pleaseeee!!!!!!!!
Answer:
29.5 square inches
Step-by-step explanation:
Let's divide the shape into 3 parts to make it easy for us to find the area.
- a wide triangle
- a triangle
- a shorter rectangle
For the wider rectangle, the area is;
A1 = 8 × 2 = 16 in²
For the triangle, the area is;
A2 = ½(7 - 2) × 3
A2 = 7.5 in²
For the shorter rectangle, the area is;
A3 = 3 × 2
A3 = 6 in²
Total area = A1 + A2 + A3 = 16 + 7.5 + 6 = 29.5 square inches
What is the largest 5-digit number that is a multiple of both 4 and 9?
Answer:
Step-by-step explanation:
The last two digits have to be divisible by 4
The entire number's digits have to add to a multiple of 9. So I will start with 99964
64 does not add up to a multiple of 9. so that's not the answer. 64 is divisible by 4 but not 9
Move on 99968 which has the same problem.
99972 works!!!!
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
300 yd³
Step-by-step explanation:
Volume = lwh
l = 6
w = 5
h = 10
so, 6×5×10 = 300 yd³
How do I find x and y?
Answer:
x = 20
y = 70
Step-by-step explanation:
Since B and D are parallel :
6x - 10 + 3x + 10 = 180 add/subtract like terms
9x = 180 divide both sides by 9
x = 20
angle represented by y and 6x - 10 are supplementary and their sum is 180
y + 6x - 10 = 180 replace x with 20
y + 6*20 - 10 = 180
y + 120 - 10 = 180
y + 110 = 180 subtract 110 from both sides
y = 70
The interest of the sum of money at the end of 10 years is one third of the sum. Find the rate of interest
Answer:
3.33%
Step-by-step explanation:
Intrest = P. A. *Intrest Rate * Time
(1/3)*P. A. = P. A. *Intrest Rate * 10
Intrest Rate = 1/30)=3.33%
find the inequality represented by the graph
Answer:
First, find the function of the line:
slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{0-3}{0-4} =\frac{-3}{-4}=\frac{3}{4}[/tex]y-intercept = 0Therefore, the function is [tex]y=\frac{3}{4} x[/tex].
Since it's the area under the graph that's shaded(not ≥ or >) and the graphed line is dotted(not ≤ or ≥), then the inequality would be [tex]y<\frac{3}{4} x[/tex].
17’4” multiply by 17’5”
6. Use a one unit multiplier to convert 20 inches to centimeters.
7. Use two unit multipliers to convert 25 feet to centimeters.
Answer:
should be 15.
Step-by-step explanation:
If f(x) = VX – 9 and g(x) = -6x – 3,
which statement is true?
Answer:
7
Step-by-step explanation:
15. 4 + 2x = 4x - 20
What is the value of X?
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
[tex]4 + 2x = 4x - 20[/tex]
[tex]4 + 20 = 4x - 2x[/tex]
[tex]24 = 2x[/tex]
[tex]x = \frac{24}{2} [/tex][tex]x = 12[/tex]
Hope it is helpful....You want to decrease a biscuit recipe by half the recipe calls for 1 1/2 cups of milk how much milk would you use
Answer:
3/4 cup of milk.
Step-by-step explanation:
1 1/2= 6/4. 6÷2=3.
Answer:
3/4
Step-by-step explanation:
Half the recipe means multiply by 1/2
1 1/2 * 1/2
Change the mixed number to an improper fraction
(2*1+1)/2 * 1/2
3/2 * 1/2
3/4
HELP PLEASE SO I CAN MOVE ON
find the measure of the indicated angle to the nearest degree
Answer:
16
Step-by-step explanation:
[tex] \tan(x) = \frac{13}{46} [/tex]
[tex] \tan {}^{ - 1} ( \frac{13}{46} ) = 16[/tex]
Is the statement at the top true or false
Answer:
false
Step-by-step explanation:
these angles are horizonal
Which equation results from taking the square root of both sides of (x – 9)2 = 81?
x – 9 = ±9
x + 9 = ±9
x + 3 = ±9
x – 3 = ±9
Mark this and return
Step-by-step explanation:
Hi there!
Given;
(x-9)² = 81........(i)
Take whole square right side;
(x-9) = ±√(81)
(x-9) = ±9
Therefore, the answer is option A.
Hope it helps!
In the figure below, triangle ABC is similar to triangle PQR:
A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 4, length of BC is 2. A similar right triangle; triangle PQR, which is triangle ABC enlarged and reflected across a horizontal line, is drawn near it. The right angle is at Q. Angle A is congruent to angle P and angle C is congruent to angle R. The length of QR is 12.
What is the length of side PQ?
48
24
40
18
Answer:
24
Step-by-step explanation:
Since the triangles are similar the side lengths must be proportional
2/12 = 4/PQ cross multiply expressions
2PQ = 48 divide both sides by 2
PQ = 24
One person can do a certain job in 10 minutes and another person to the same job and 15 minutes how many minutes will it take to do the job together
Answer:
6 minutes
Step-by-step explanation:
The equation for time together is
1/a+1/b = 1/c where a and b are the times alone and c is the time together
1/10 + 1/15 = 1/c
Multiply by the least common denominator to clear the fraction
30c(1/10 + 1/15 = 1/c)
3c+ 2c = 30
5c = 30
Divide by 5
5c/5 = 30/5
c = 6
Answer:
6 minutes
Step-by-step explanation:
Person A does 1 job in 10 minutes.
In 1 minute, person A does 1/10 of the job.
Person B does the same job in 15 minutes.
In 1 minute, person B does 1/15 of the job.
Working together, in 1 minute the do
1/10 + 1/15 of the job.
Working together, they take t minutes to do the job.
In 1 minute, they do 1/t of the job.
1/10 + 1/15 = 1/t
3/30 + 2/30 = 1/t
5/30 = 1/t
1/6 = 1/t
t = 6
A pattern for a skirt calls for 1 7/8 yd of fabric. If Mary
Kate wants to make one skirt for herself and one for her
twin, how much fabric will she need?
Answer:
Mary Kate will need 3 6/8 yd of fabric.
Step-by-step explanation:
If Mary wants to make one skirt for herself AND her twin, that is equal to 2 skirts.
So if one skirt calls for 1 7/8 yd of fabric, multiply it by 2:
1 7/8 x 2
Convert 1 7/8 to an improper fraction and add 1 as a denominator for 2:
15/8 x 2/1 = 30/8
30/8 simplified is 3 6/8
Brainliest please?
PLEASE HELP ME The graph below shows the distance, y, that a car traveled in x hours:
Rate of Travel
125
100
Distance Traveled
(miles)
75
501
251
0 1 2 3 4 5
Time (hours)
What is the rate of change for the relationship represented in the graph?
о
1
50
O
25
O 25
050
Answer:
25
Step-by-step explanation:
The graph is going up by 25 each block or point of the way, if im wrong, im sory
Express 1.2, 2.25, 3.5, 4.06 as a fraction in its simplest form
Answer:
1.2 = 12/10 = 6/5
2.25 = 225/100 = 9/4
3.5 = 35/10 = 7/2
4.06 = 406/100 = 203/50
