Answer:
Step-by-step explanation:
distance traveled by one revolution = circumference of the wheel
= 2πr = 2π(13 inches) = 26π inches
number of revolutions = distance traveled / distance traveled by one revolution
100 feet = 1200 inches
= 1200 inches / 26π inches
≈ 45.91 full revolutions
When rolling a number cube, what are the odds against rolling a 6 on a single roll?
A.1:6
B.6:1
C.1:5
D.5:1
Answer:
D
Step-by-step explanation:
if you roll a die and you want to get a 6, there are 6 sides on the cube, 5 that are not 6 and 1 that is. so the odds against you rolling a 6 are 5 to 1
Special right triangles
In the special right triangle, x has a value of √3/2
Special Right TriangleA special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form simple relationships, such as 45°–45°–90°. This is called an "angle-based" right triangle.
To find the value of x, we should take into consideration that two of the sides of the triangle are equal to each other.
Using Pythagoras theorem;
\((\sqrt{3}) ^2 = x^2 + x^2\\3 = 2x^2\\x^2 = \frac{3}{2} \\x = \sqrt{\frac{3}{2} }\)
The value of x in the triangle is √3/2
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imagine that we are interested in 1 bed and 1 bath condos in the pacific heights neighborhood of san francisco. let's say that the empirical distribution of the mean square footage generated via bootstrapping is roughly normal with a mean of 883 sqft and a standard deviation of 270 sqft. what range of square footage values would contain 95% of the data?
The range of the square footage values for the given mean , standard deviation and 95% confidence interval is equal to (1257.26 , 508.74).
As given in the question,
Sample size 'n' = 2
Sample mean '\(\bar{x}\)' = 883 sq ft
Standard deviation 'σ' = 270 sq ft
95% confidence interval.
95% confidence interval = 1 - 0.95
= 0.05
Critical value for 95% is \(Z_{0.05}\) = 1.96
Population mean for the given confidence interval is given by :
= \(\bar{x}\) ± \(Z_{0.05}\) (σ / √n)
= 883 ± 1.96 ( 270 / √2)
= 883 ± 374.26
= ( 1257.26 , 508.74 )
Therefore , the range of the square footage values for the 95% confidence interval is equal to ( 1257.26 , 508.74 ).
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Help me Please. This Due Today.
Answer:
1/8
Step-by-step explanation:
As you can see, I unit fraction is 1/8 or any fraction with a one mostly because unit means 1.. always remember that!
Evaluate 6h when h =8
One-fourth of the
pizza toppings t
offered at a pizza
place are meat. If 5
toppings are meat,
how many total
toppings are there?
HELP ASAP!!! Solve for x if the figure is a rectangle. (Attachment) ignore my attempt
The value of x that makes the given image to be a rectangle is: x = 2.5
How to find the length of the diagonal of a rectangle?The length of the diagonals of a rectangle are equal and congruent to each other. It is also pertinent to note that the diagonals of a rectangle bisect each other at the center. Thus:
From the given parameters, we see that half of the diagonals have been labelled and as such we have:
8x - 3 = 4x + 7
Rearrange to have like terms on same side and so we have:
8x - 4x = 7 + 3
4x = 10
x = 10/4
x = 2.5
Thus, the value of x from the calculation above of the rectangle is 2.5
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Please help me with this!!!!
Angela drove 212 km. Her peed wa 42 km/h for about 20 min, then about 95 km/h for mot of the trip, and finally about 55 km/h for the lat 12 min. How long did the trip take?
Altogether, the whole trip took a total time of 2 1/2 hrs long.
Speed is the ratio between the distance traveled and the total amount of time spent.
v = d / t
where v = speed
d = distance
t = time
If Angela drove a total of 212 km for the three parts of the trip, then the sum of the distances is equal to 212.
d₁ + d₂ + d₃ = 212 km
v₁t₁ + d₂ + v₃t₃ = 212
42km/h(20mins/60mins/h) + d₂ + 55km/h(12mins/60mins/h) = 212
d₂ = 187 km
If her speed for most of the trip was 95 km/h, then the time it took her to travel the distance of 187 km is
v₂ = d₂ / t₂
95 km/h = 187 km / t₂
t₂ = 187/95 h ≅ 118 min
Hence, the total time the trip took is approximately 2 1/2 hrs.
t₁ + t₂ + t₃ = 20 + 118 + 12 = 150 mins = 2 1/2 hrs
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True or False? if the null hypothesis is rejected using a two-tailed test, then it certainly would be rejected if the researcher had used a one-tailed test.
False. If the null hypothesis is rejected using a two-tailed test, it does not necessarily mean it would be rejected if the researcher had used a one-tailed test.
One-tailed tests have more power to detect an effect in a specific direction, but they also have a higher risk of making a Type I error (rejecting the null hypothesis when it's actually true). The decision to use a one-tailed or two-tailed test should be based on the research question and prior knowledge of the expected direction of the effect.
A two-tailed test is more conservative and examines both tails of the distribution, while a one-tailed test focuses on only one direction. The outcome depends on the direction of the effect and the specific hypothesis being tested.
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The diagram shows three squares that are joined at vertices to form a right triangle. Which statement is true?
A. The sum of the areas of Square N and Square L is equal to the area of Square K.
B. The sum of the areas of Square N and Square L is greater than the area of Square K.
C. The sum of the areas of Square N and Square K is equal to the area of Square L.
D. The sum of the areas of Square N and Square K is less than the area of Square L.
Answer: C
Step-by-step explanation: Because I said soooaiahi
What is the sum? 8 + (negative 12)
Answer:
your answer is -4!
Step-by-step explanation:
plz mark me brainliest
2.1 The sieve analysis results for an aggregate sample is displayed below. (a) Calculate the percentage passing for each sieve size
We determine the cumulative weight retained at each sieve and then calculate the cumulative percentage passing by dividing the cumulative weight passing by the total weight of the sample and multiplying by 100.
To calculate the percentage passing for each sieve size in a sieve analysis, we need to determine the cumulative percentage passing at each sieve size.
The sieve analysis provides information about the particle size distribution of an aggregate sample. It involves passing the sample through a series of sieves with different mesh sizes, and measuring the amount of material retained on each sieve.
To calculate the percentage passing, we first need to determine the cumulative weight retained at each sieve size. This is done by subtracting the weight retained on a particular sieve from the weight retained on the previous sieve.
Once we have the cumulative weight retained, we can calculate the cumulative percentage passing by dividing the cumulative weight passing by the total weight of the sample and multiplying by 100.
Here is an example:
Sieve Size (mm) | Weight Retained (g)
4.75 | 50
2.36 | 30
1.18 | 20
0.6 | 15
0.3 | 10
0.15 | 5
To calculate the cumulative percentage passing:
Calculate the cumulative weight retained:
Cumulative weight retained at sieve 4.75 mm = 50 g
Cumulative weight retained at sieve 2.36 mm = 50 g + 30 g = 80 g
Cumulative weight retained at sieve 1.18 mm = 80 g + 20 g = 100 g
Cumulative weight retained at sieve 0.6 mm = 100 g + 15 g = 115 g
Cumulative weight retained at sieve 0.3 mm = 115 g + 10 g = 125 g
Cumulative weight retained at sieve 0.15 mm = 125 g + 5 g = 130 g
Calculate the cumulative percentage passing:
Cumulative percentage passing at sieve 4.75 mm = (Total weight - Cumulative weight retained) / Total weight * 100 = (130 g - 50 g) / 130 g * 100 = 61.54%
Cumulative percentage passing at sieve 2.36 mm = (130 g - 80 g) / 130 g * 100 = 38.46%
Cumulative percentage passing at sieve 1.18 mm = (130 g - 100 g) / 130 g * 100 = 23.08%
Cumulative percentage passing at sieve 0.6 mm = (130 g - 115 g) / 130 g * 100 = 11.54%
Cumulative percentage passing at sieve 0.3 mm = (130 g - 125 g) / 130 g * 100 = 3.85%
Cumulative percentage passing at sieve 0.15 mm = (130 g - 130 g) / 130 g * 100 = 0%
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Help please!
If 56 people surveyed said their favorite vegetable was carrots, how many total people were surveyed?
Circle graph titled Favorite Vegetables. Graph has unequal sections. Sections from smallest to largest are labeled Carrots 5 percent, Cucumber 20 percent, Broccoli 25 percent, Beans 50 percent.
280 people
1120 people
100 people
112 people
There are total 1120 people are surveyed for the survey of vegetable.
What is percentage?A relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety.
Number of people liked carrots= 56Carrots = 5%,Cucumber =20 %,Broccoli =25 %Beans = 50%let total number of people surveyed be 'x'
5% of x=56
x= \(\frac{56*100}{5}\)
x= 1120
Hence total number of people surveyed is 1120
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1 individuals in a tetrahybrid cross is AaB-bCcDd. Assuming independent assortment of these four genes, what are the probabilities that F2 offspring will have the following genotypes?
1. AABBCCDD: The probability of this happening is \(1/16\), since each parent would need to contribute a dominant allele for each gene.
2. AABBCcDD: This genotype can be produced in two ways:
a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.
The probability of this happening is = 1/128.
b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.
3. The probability of this happening is 1/32.
AaBbCcDd : The probability of this happening is 1/256.
4. aaBBCcDD - This genotype can be produced in two ways:
a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is 1/128.
b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.
The probability of this happening is 1/32.
To solve this problem, we need to use the principles of probability and Punnett squares.
For a tetrahybrid cross, we need to consider the four genes independently and combine the probabilities of each gene's alleles.
Assuming that A, B, C, and D are dominant alleles, and a, b, c, and d are recessive alleles, we can create a Punnett square for each gene, which would look like this:
A | A | a | a
---|-----|-----|----
B | B | b | b
---|-----|-----|----
C | C | c | c
---|-----|-----|----
D | D | d | d
Each box in the Punnett square represents a possible combination of alleles from the two parents.
For example, the top-left box represents offspring that inherit an A allele from the mother and an A allele from the father.
We can use these Punnett squares to calculate the probabilities of each genotype in the F2 offspring.
AABBCCDD - This genotype can only be produced if both parents are homozygous dominant for all four genes.
The probability of this happening is \((1/2)^4 = 1/16\) , since each parent would need to contribute a dominant allele for each gene.
AABBCcDD - This genotype can be produced in two ways:
a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.
The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128\)
b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.
The probability of this happening is\(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32\)
AaBbCcDd - This genotype can be produced in 16 ways, since each gene can be inherited in two different ways (dominant or recessive).
The probability of this happening is \((1/2)^8 = 1/256.\)
aaBBCcDD - This genotype can be produced in two ways:
a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128.\)
b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.
The probability of this happening is \(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32.\)
Note that we have assumed independent assortment of the four genes, which means that the inheritance of one gene does not affect the inheritance of another gene.
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A square patio has a perimeter of (32x+8) feet. What is the length of the patio?
The perimeter of the square patio is the sum of its side lengths
The length of the patio is: 8x + 2
The given parameters are:
\(\mathbf{Shape = Square}\)
\(\mathbf{Perimeter = 32x + 8}\)
The perimeter of a square is:
\(\mathbf{Perimeter = 4 \times Length}\)
So, we have:
\(\mathbf{4 \times Length = 32x + 8}\)
Divide both sides by 4
\(\mathbf{Length = 8x + 2}\)
Hence, the length of the patio is: 8x + 2
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Determine the value of the variable that makes the equation true.
`1=-10c`
Answer:
0.1
Step-by-step explanation:
1/10=c
0.1=c
Check
1=10(0.1)
10×0.1
1
what are the different types of geometric constraints that are applied to sketches, and what are their functions?
HELP QUICK PLEASE!!!!!!!!!!!!
A book publisher publishes both fiction and nonfiction books. Let F represent the number of words, per chapter, for fiction books, and let N represent the number of words, per chapter, for nonfiction books. The standard deviation of the total amount, S = F + N, is 195. 3 words. What is the interpretation of this value?
The mean number of words per chapter will vary from book to book.
On average, there are 195. 3 words total in a typical chapter of either genre of book.
This publisher can expect the total number of words per chapter to vary by approximately 195. 3 words from the mean.
If we combine the fiction and nonfiction books from this publisher, the average number of words per chapter will change by 195. 3
Option C is correct interpretation. The publisher can expect the total number of words per chapter to vary by approximately 195.3 word from the mean.
In this example a book publisher published both fiction and nonfiction books, let F for fiction and N for nonfiction,
the standard deviation of total amount F+N=S=195.3,
Standard deviation is a measure which shows, how much variation such as spread, dispersion from the mean exists. the standard deviation indicates the typical deviation from the mean.
so, in this particular case we have standard deviation of total amount S=195.3.The interpretation of this value is the publisher can expect the total number of words per chapter to vary by approximately 195.3 word from the mean.
option C is correct interpretation for this case.
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1. 68% of 700
2.85% of 520
3. 40% of 85
4. 32% of 325
5. 2% of 250
6.50% of 104
7. 75% of 396
8. 90% of 80
9. 25% of 64
10. 63% of 400
11.56% of 475
12. 15% of 20
13. 48% of 50
14. 8% of 725
Answer:
1. 476
2. 442
3. 34
4. 104
5. 5
6. 52
7. 297
8. 72
9. 16
10. 252
11.266
12. 3
13. 24
14. 58
Step-by-step explanation:
The average score of students in the first group is 39, the second group is 32, and the third group is 43. If the numbers of students in the three groups are 24, 26, and 27, respectively, find the average score of all students.
The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.
The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.
To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.
Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929
Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.
This means that the overall performance of all the students is slightly below the average of the scores in each group.
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PLEASE HELP FAST- WRITE THE EXPRESSION IN RADICAL FORM
The expression \(x^\frac47\) in radical form is \(\sqrt[7]{x^4}\)
How to write the expression in radical formFrom the question, we have the following parameters that can be used in our computation:
\(x^\frac47\)
Expand the expression
So, we have
\((x^4)^\frac17\)
Take the 7th root of the expression
So, we have
\(\sqrt[7]{x^4}\)
Hence, the expression in radical form is \(\sqrt[7]{x^4}\)
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how much does the 2020 keep compass depreciate in total over 5 years?
Answer:
Step-by-step explanation: oop
Rewrite, using the distributive
property.
16b-8b = ([?]-8)b = [?]b
Answer:
8b
Step-by-step explanation:
You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:
\(\displaystyle{16b-8b=\left(16-8\right)b}\)
Then evaluate and simplify:
\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)
(2, StartFraction pi Over 3 EndFraction) is graphed on the polar grid below. On a polar coordinate plane, a point is at (2, StartFraction pi Over 3 EndFraction). Which polar coordinates below also represent that point? Check all that apply.
Answer: 1, 3, 4
1 (2, 7pi/3)
3 (2, -5pi/3)
4 (-2, 4pi/3)
Step-by-step explanation:
Answer:
1 3 and 4
Step-by-step explanation:
Doing it on brainly but the other guy gave me the answers lol
What does an expression never have.
A.variables
B.numbers
C.equals sign
Answer:
C
Step-by-step explanation:
An Expression has no equal sign, because it is not complete. Yet an equation does.
a least squares regression line . a.may be used to predict a value of y if the corresponding x value is given b.implies a cause-effect relationship between x and y c.can only be determined if a good linear relationship exists between x and y d.is only used for positively correlated data
The least square regression line implies a mathematical equation that models the relationship between the dependent and independent variables. Hence, it may be used to predict a value of y if the corresponding x value is given. The least square regression line also called the best fit line, gives a mathematical relationship between variables in slope-intercept form.The predicted value of y or x if the corresponding value of either variable is given.
what is regression?
A statistical method called regression links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable.
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I=$200,p=$1000,r=4 years
Answer:
idt this is right..... sorry if this is wrong...
Step-by-step explanation:
I = $ 8,000.00
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 200%/100 = 2 per year,
then, solving our equation
I = 1000 × 2 × 4 = 8000
I = $ 8,000.00
The simple interest accumulated
on a principal of $ 1,000.00
at a rate of 200% per year
for 4 years is $ 8,000.00.
someone help me for this algebra task please
wrapping paper is on sale at 3 rolls for $4.25. how many rolls can dankia buy with $20
Answer:
12 rolls, because 4.25 go into 20 , four times so u take 4 and multiply it by 3 and get 12.