Answers
Answer:
1/36
Step-by-step explanation:
6^-2 = 1/6^2 = 1/36.
Related Questions
Will give brainliest amswer
Answers
Answer:
A= 12.55363262
Step-by-step explanation:
C=2πr
12.56=2πr
12.56=6.283185307r
12.56 ÷6.283185307 = 6.283185307r ÷6.283185307
1.998986085 = r
A=πr^2
A=π(1.998986085)^2
A= 12.55363262
Jess is cutting bows of ribbon which will be used to wrap gifts. If jess needs 1 7/11 feet of ribbon to make a bow and she has 36 feet of ribbon, then how many bows can jess make?
Answers
Answer:
22
Step-by-step explanation:
You need to divide 36 ft by 1 7/11 ft, and then round down if you don't get a whole number.
[tex]\dfrac{36~ft}{1 \frac{7}{11}~ft} =[/tex]
[tex]= \dfrac{36}{\frac{18}{11}}[/tex]
[tex] = \dfrac{36}{1} \times \dfrac{11}{18} [/tex]
[tex] = \dfrac{36 \times 11}{1 \times 18} [/tex]
[tex] = 22 [/tex]
Answer: 22
Someone can help me pleaseeee, for tonight with 2 or 3 will be fine
FIND THE LENGTH
Answers
Answer:
4)..21 units
5). 15 units
6). 25 units
Step-by-step explanation:
4). Since ΔABC ~ ΔDEF,
Their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{BC}{EF}= \frac{AC}{DF}[/tex]
Since, [tex]\frac{AB}{DE}=\frac{AC}{DF}[/tex]
[tex]\frac{14}{42}=\frac{7}{x}[/tex]
x = [tex]\frac{42\times 7}{14}[/tex]
x = 21 units
5). Since ΔABC ~ ΔDEF,
[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]
[tex]\frac{AB}{DE}=\frac{BC}{EF}[/tex]
[tex]\frac{6}{9}=\frac{10}{x}[/tex]
x = 15 units
6). Since ΔABC ~ ΔDEF,
[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]
[tex]\frac{BC}{EF}=\frac{AC}{DF}[/tex]
[tex]\frac{6}{30}=\frac{5}{x}[/tex]
x = 25 units
The Science Club has 24 members, 20 girls and 4 boys. What is the ratio of girls to boys in the Science Club?
Answers
Answer:
5:1
Step-by-step explanation:
You divide both to find a common multiple which in this case is 5
20:4 ----> (20÷4):(4×5) ----> 5:1
Hope that explains it :)
an arithmetic series has first term 160 and common difference d . the sum of the first 25 terms of the series 3500 . find the common difference d.
Answers
Answer:
d = - [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
The sum to n terms of an arithmetic series is
[tex]S_n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 160, n = 25 and [tex]S_{25}[/tex] = 3500 , thus
[tex]\frac{25}{2}[/tex] [ (2 × 160) + 24d ] = 3500, that is
12.5(320 + 24d) = 3500 ( divide both sides by 12.5 )
320 + 24d = 280 ( subtract 320 from both sides )
24d = - 40 ( divide both sides by 24 )
d = - [tex]\frac{40}{24}[/tex] = - [tex]\frac{5}{3}[/tex]
50 pts If You Get IT RIGHT!!!
Kellianne lined up the interior angles of the triangle along line p below. Triangle A B C. Angle A, B, and C are on line p. Which statements are true for line p? Check all that apply.
Answers
Answer:
angles a and b are lined up
Kenneth collected data from a random sample of 800 voters in his city asking whether or not they would vote to reelect the current governor. Based on the results, he reports that 64% of the voters in his state would vote to reelect the current governor. Why is this statistic misleading?
Answers
Answer:
the sample is bias
Step-by-step explanation:
Here the surveyor is deliberately pushing an agenda, asking whether they will vote to re-elect the current governor, a more neutral question without promoting any agenda. Ways can be asked, further resolutions can be made using the information gathered for the candidate and the current governor with whom he prefers.so correct answer is the sample is bias
Simplify the expression (5j+5) – (5j+5)
Answers
Answer:
0
Step-by-step explanation:
multiply the negative thru the right part of the equation so, 5j+5-5j-5. The 5j and the 5 than cancel out with each other. Hope this helps!
Answer:
0
Explanation:
step 1 - remove the parenthesis from the expression
(5j + 5) - (5j + 5)
5j + 5 - 5j - 5
step 2 - combine like terms
5j + 5 - 5j - 5
5j - 5j + 5 - 5
0 + 0
0
therefore, the simplified form of the given expression is 0.
In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 307 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is greater than 10%. State the test result in terms of the claim. Identify the null and alternative hypotheses for this test The test statistic for this hypothesis test is? The P-value for this hypothesis test is? Identify the conclusion for this hypothesis test. State the test result in terms of the claim.
Answers
Answer:
We conclude that the rate of inaccurate orders is greater than 10%.
Step-by-step explanation:
We are given that in a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 307 orders observed.
Let p = population proportion rate of inaccurate orders
So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\leq[/tex] 10% {means that the rate of inaccurate orders is less than or equal to 10%}
Alternate Hypothesis, [tex]H_A[/tex] : p > 10% {means that the rate of inaccurate orders is greater than 10%}
The test statistics that will be used here is One-sample z-test for proportions;
T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of inaccurate orders = [tex]\frac{40}{307}[/tex] = 0.13
n = sample of orders = 307
So, the test statistics = [tex]\frac{0.13-0.10}{\sqrt{\frac{0.10(1-0.10)}{307} } }[/tex]
= 1.75
The value of z-test statistics is 1.75.
Also, the P-value of the test statistics is given by;
P-value = P(Z > 1.75) = 1 - P(Z [tex]\leq[/tex] 1.75)
= 1 - 0.95994 = 0.04006
Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.
Since the value of our test statistics is more than the critical value of z as 1.75 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Therefore, we conclude that the rate of inaccurate orders is greater than 10%.
Find the area of this semi-circle with diameter, d = 51cm.
Give your answer rounded to 2 DP.
Answers
Answer
1021.41
Step-by-step explanation:
area of a circle=πr^2
r=radius=half the diameter
π*(25.5^2)=2042.82
a semi circle is half a circle so you have to half the area to get 1021.41
The lines shown below are parallel. If the green line has a slope of -1, what is
the slope of the red line?
A. 1
6
0
B. -1
C.-2
5
D. 2
Answers
Answer:
-1
Step-by-step explanation:
Parallel lines have the same slope. If the slope of the green line is -1, the slope of the red line is -1
The slope of the red line is -1
What are parallel lines?"These are the lines in the same plane that are at equal distance from each other and never meet."
What is slope of a line?"It is the change in y coordinate with respect to the change in x coordinate."
For given question,
The red line and the green line shown in the figure are parallel lines.
The slope of the green line is -1.
We know that the slope of the parallel lines is equal.
This means the slope of red line would be -1
Therefore, the slope of the red line is -1
Learn more about slope of a line here:
https://brainly.com/question/14511992
#SPJ2
WILL GIVE BRAINLIEST! NEED QUICK HELP ASAP! Photo added! least common denominator x^3/x^2+4x+4 and -9/x^2+5x+6
Answers
The denominator( s ) we are given are [tex]x^2 + 4x + 4[/tex], and . The first thing we want to do is factor the expressions, to make this easier -
[tex]x^2 + 4x + 4[/tex]
This expression is a perfect square, as ( x )^2 = x^2, ( 2 )^2 = 4, 2 * ( x ) * ( 2 ) = 4x. Thus, the simplified expression should be the following -
[tex]( x + 2 )^2[/tex]
The other expression is, on the other hand, not a perfect square so we must break this expression into groups and attempt factorization -
[tex]x^2 + 5x + 6,\\\left(x^2+2x\right)+\left(3x+6\right),\\x\left(x+2\right)+3\left(x+2\right),\\\left(x+2\right)\left(x+3\right)\\\\Factored Expression = \left(x+2\right)\left(x+3\right)[/tex]
Combining ( x + 2 )^2 and ( x + 2 )( x + 3 ), the expression that contains factors of each is ( x + 2 )^2 * ( x + 3 ), or in other words the LCM.
Solution = [tex]\left(x+2\right)^2\left(x+3\right)[/tex]
{x:x∈z and |x| ≤ 2}
Answers
Answer:
x={...-5,-4,-3,-2,-1,0,1,2}
Step-by-step explanation:
Integers are much like of a whole number but they include negative numbers. But doesn't include neither fractions nor decimals.the ellipse is centered at the origin, has axes of lengths 8 and 4, its major axis is horizontal. how do you write an equation for this ellipse?
Answers
Answer:
The equation for this ellipse is [tex]\frac{x^{2}}{64} + \frac{y^{2}}{16} = 1[/tex].
Step-by-step explanation:
The standard equation of the ellipse is described by the following expression:
[tex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} = 1[/tex]
Where [tex]a[/tex] and [tex]b[/tex] are the horizontal and vertical semi-axes, respectively. Given that major semi-axis is horizontal, [tex]a > b[/tex]. Then, the equation for this ellipse is written in this way: (a = 8, b = 4)
[tex]\frac{x^{2}}{64} + \frac{y^{2}}{16} = 1[/tex]
The equation for this ellipse is [tex]\frac{x^{2}}{64} + \frac{y^{2}}{16} = 1[/tex].
Plz help! correct answer will get another brainliest!
Answers
Answer:
2.2360679774998
mean-7
Step-by-step explanation:
Answer:
The mean is going to be 7 and the standard deviation is 2.5819
Step-by-step explanation:
The mean is every number added together then divided by the number of numbers present.
4+6+8+10= 28
There are 4 numbers so divide 28 by 4 and you get 7.
I hope this helps you.
The amounts (in ounces) of juice in eight randomly selected juice bottles are: 15.8, 15.6, 15.1, 15.2, 15.1, 15.5, 15.9, 15.5. Construct a 97.5% confidence interval for the mean amount of juice in all such bottles. Assume an approximate Normal distribution.
Answers
Answer:
The required 97.5% confidence interval is
[tex]\text {CI} = \bar{x} \pm t_{\alpha/2}(\frac{s}{\sqrt{n} } ) \\\\\text {CI} = 15.5 \pm 2.8412\cdot \frac{0.31}{\sqrt{8} } \\\\\text {CI} = 15.5 \pm 2.8412\cdot 0.1096\\\\\text {CI} = 15.5 \pm 0.311\\\\\text {CI} = 15.5 - 0.311, \: 15.5 + 0.311\\\\\text {CI} = (15.19, \: 15.81)\\\\[/tex]
Therefore, we are 97.5% confident that the actual mean amount of juice in all such bottles is within the range of 15.19 to 15.81 ounces
.
Step-by-step explanation:
The amounts (in ounces) of juice in eight randomly selected juice bottles are:
15.8, 15.6, 15.1, 15.2, 15.1, 15.5, 15.9, 15.5
Let us first compute the mean and standard deviation of the given data.
Using Excel,
=AVERAGE(number1, number2,....)
The mean is found to be
[tex]\bar{x} = 15.5[/tex]
=STDEV(number1, number2,....)
The standard deviation is found to be
[tex]s = 0.31[/tex]
The confidence interval for the mean amount of juice in all such bottles is given by
[tex]$ \text {CI} = \bar{x} \pm t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $\\\\[/tex]
Where [tex]\bar{x}[/tex] is the sample mean, n is the samplesize, s is the sample standard deviation and [tex]t_{\alpha/2}[/tex] is the t-score corresponding to a 97.5% confidence level.
The t-score corresponding to a 97.5% confidence level is
Significance level = α = 1 - 0.975 = 0.025/2 = 0.0125
Degree of freedom = n - 1 = 8 - 1 = 7
From the t-table at α = 0.0125 and DoF = 7
t-score = 2.8412
So the required 97.5% confidence interval is
[tex]\text {CI} = \bar{x} \pm t_{\alpha/2}(\frac{s}{\sqrt{n} } ) \\\\\text {CI} = 15.5 \pm 2.8412\cdot \frac{0.31}{\sqrt{8} } \\\\\text {CI} = 15.5 \pm 2.8412\cdot 0.1096\\\\\text {CI} = 15.5 \pm 0.311\\\\\text {CI} = 15.5 - 0.311, \: 15.5 + 0.311\\\\\text {CI} = (15.19, \: 15.81)\\\\[/tex]
Therefore, we are 97.5% confident that the actual mean amount of juice in all such bottles is within the range of 15.19 to 15.81 ounces.
What is the equation of the line graphed below?
Answers
Answer:
C. y = 4x -6
Step-by-step explanation:
The line intercepts the y-axis at -6, consistent with the first three answer choices.
It appears to have an x-intercept of about 1.5 (certainly, less than 2), so between that point and the y-intercept, there is a "rise" of 6 and a "run" of about 1.5.
Then the slope is rise/run = 6/1.5 = 4. This will be the x-coefficient in the slope-intercept form:
y = mx + b
y = 4x -6
Which of the following relations is a function?
A{(3,-1), (2, 3), (3, 4), (1,7)}
B{(1, 2), (2, 3), (3, 4), (4, 5)}.
C{(3, 0), (4, -3), (6, 7), (4,4)}
D{(1, 2), (1, 3), (2, 8), (3, 9)}
Answers
Answer:
B
Step-by-step explanation:
A is not a function because the same x value is repeated twice with different y values. The same goes for C and D so the answer is C.
Answer:
B.
Step-by-step explanation:
Well a relation is a set of points and a function is a relation where every x value corresponds to only 1 y value.
So lets see which x values in these relations have only 1 y value.
A. Well a isn’t a function because the number 3 which is a x value had two y values which are -1 and 4.
B. This relation is a function because there are no similar x values.
C. This is not a function because the x value 4 has two y values which are 4 and -3.
D. This is not a function because the number 1 has 2 and 3 as y values.
2830000000 who can write this number in “Scientific Notation.”
Answers
Answer:
[tex]2.83*10^{9}[/tex]
Step-by-step explanation:
2.
On a spinner numbered 1-9, what is the probability of spinning a multiple of 3?
0
1/2
1/3
2/3
Answers
Answer:
1/3
Step-by-step explanation:
the multiples of three is three, six, and nine
which is 3/9 bc the total is 9
hope this helps
A triangular-shaped deck has one side that is 4 feet longer than the shortest side and a third side that is 4 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 80 feet, what are the lengths of the three sides?
Answers
Answer:
The shortest side is 20 feet, the second side is 24 feet and the third side is 36 feet.
Step-by-step explanation:
Assuming that the shortest side of this triangle has a length of "x" feet, then one side is "x + 4" feet and the third is "2*x - 4" feet. Since the perimeter of the deck is 80 feet, then the sum of the length of these sides should be equal to that.
[tex]x + x + 4 + 2*x - 4 = 80\\4*x = 80\\x = \frac{80}{4} = 20 \text{ feet}\\[/tex]
The shortest side is 20 feet, the second side is 24 feet and the third side is 36 feet.
The length of three sides of the triangle are 20 feet, 24 feet and 36 feet
Given :
Let 'x' be the shortest side of the triangle
one side that is 4 feet longer than the shortest side
so one side is 4 feet more than the shorter side
x+4
a third side that is 4 feet shorter than twice the length of the shortest side
third side is [tex]2x-4[/tex]
Perimeter of the triangle is sum of all the three sides
Perimeter = x + (x+4)+(2x-4)
Given perimeter is 80 feet
[tex]x + (x+4)+(2x-4)=80\\4x=80\\x=20[/tex]
The shortest side is 20 feet
One side is x+4= 20+4=24 feet
Largest side =[tex]2x-4=2(20)-4= 36feet[/tex]
The length of three sides are 20 feet, 24 feet and 36 feet
Learn more : brainly.com/question/8313793
A contractor is setting up new accounts for the local cable company. She earns $75 for each customer account she sets up. Which expression models this situation, and how much will she profit if she sets up 8 customers? (The variable c represents the number of customers.) Question 4 options: A) c – 75; $9.78 B) 75c; $600 C) c + 75; $600 D) 75/c; $9.78
Answers
Answer:
B
Step-by-step explanation:
The contractor gets $75 for every single customer she sets up. Okay, so if she sets up 1 customer, she gets $75, if she sets up 2, she gets $150 and so on.
This is a multiplication expression since multiplication is just repeated addition, which is what is happening in this case, where the contractor gets $75 added to her account every time she sets another person up.
At this point you can just eliminate the other answer options except for B, so it is B.
But to double check... if you multiply 75 by 8, you would get $600, which is B.
Answer:
d
Step-by-step explanation:
75/c; $9.78
Which proportion would convert 18 ounces into pounds?
Answers
Answer:
16 ounces = 1 pound
Step-by-step explanation:
You would just do 18/16 = 1.125 pounds. There are always 16 ounces in a pound, so it always works like this
Silver Lake has a population of 114,000. The population is decreasing at a rate of 1.5% each year. Which of the following choices is the correct function? a p(s) = 114000• 0.985x b p(s) = 114000x c p(s) = 114000x + 0.985 d None of these choices are correct.
Answers
Answer: D
Step-by-step explanation:
According to the question, Silver Lake has a population of 114,000. The population is decreasing at a rate of 1.5% each year
The initial population Po = 114000
Rate = 1.5% = 0.015
The declining population formula will be:
P = Po( 1 - R%)x^2
The decay formula
Since the population is decreasing, take away 0.015 from 1
1 - 0.015 = 0.985
Substitutes all the parameters into the formula
P(s) = 114000(0.985)x^2
P(s) = 114000× 0985x^2
The correct answer is written above.
Since option A does not have square of x, we can therefore conclude that the answer is D - non of the choices is correct.
The average number of tunnel construction projects that take place at any one time in a certain state is 3. Find the probability of exactly five tunnel construction projects taking place in this state.
Answers
Answer: 0.1008188
Step-by-step explanation:
The question will usng the poisson distribution formula:
Given :
Mean(λ) number of occurrence in a given interval = 3
P(X=x) = Probability of exactly x occurrence in a given interval
Number of desired occurence(x) = 5
P(X=x) = [(λ^x) * (e^-λ)] / x!
Where ; e = base of natural logarithm = 2.7182818
P(X=5) = [(3^5) * (e^-3)] / 5!
P(X=5) = [(243) * (0.0497870)] / 120
P(X=5) = [12.098257] / 120
P(X=5) = 0.1008188
Answer:0.10
Step-by-step explanation:
SCCoast, an Internet provider in the Southeast, developed the following frequency distribution on the age of Internet users. Find the mean and the standard deviation. (Round squared deviations to nearest whole number and final answer to 2 decimal places.)
Answers
Answer:
Mean: 40.17 years.
Standard deviation: 10.97 years.
Step-by-step explanation:
The frequency distribution is in the attached image.
We can calculate the mean adding the multiplication of midpoints of each class and frequency, and dividing by the sample size.
The midpoints of a class is calculated as the average of the bounds of the class.
Then, the mean can be written as:
[tex]E(X)=\dfrac{1}{N}\sum f_iX_i\\\\\\E(X)=\dfrac{1}{60}(3\cdot15+7\cdot25+18\cdot35+20\cdot45+12\cdot 55)=\dfrac{45+175+630+900+660}{60}\\\\\\E(X)=\dfrac{2,410}{60}=40.17[/tex]
The standard deviation can be calculated as:
[tex]s=\sqrt{\dfrac{1}{N-1}\sum f_i(X_i-E(X))^2}\\\\\\s=\sqrt{\dfrac{1}{59}[3(15-40.17)^2+7(25-40.17)^2+18(35-40.17)^2+20(45-40.17)^2+12(55-40.17)^2]}[/tex]
[tex]\\\\\\s=\sqrt{\dfrac{1}{59}( 1,900.59 + 1,610.90 + 481.12 + 466.58 + 2,639.15 )}\\\\\\s=\sqrt{\dfrac{ 7,098.33 }{59}}=\sqrt{120}=10.97[/tex]
A triangular plot of land has one side along a straight road measuring 147147 feet. A second side makes a 2323degrees° angle with the road, and the third side makes a 2222degrees° angle with the road. How long are the other two sides?
Answers
Answer:
81.23 ft and 77.88 ft long
Step-by-step explanation:
The sum of the internal angles of a triangle is 180 degrees, the missing angle is:
[tex]a+b+c=180\\a+23+22=180\\a=135^o[/tex]
According to the Law of Sines:
[tex]\frac{A}{sin(a)}= \frac{B}{sin(b)}= \frac{C}{sin(c)}[/tex]
Let A be the side that is 147 feet long, the length of the other two sides are:
[tex]\frac{A}{sin(a)}= \frac{B}{sin(b)}\\B=\frac{sin(23)*147}{sin(135)}\\B=81.23\ ft\\\\\frac{A}{sin(a)}= \frac{C}{sin(c)}\\C=\frac{sin(22)*147}{sin(135)}\\C=77.88\ ft[/tex]
The other two sides are 81.23 ft and 77.88 ft long
Martin had 24 5 pounds of grapes left. Which expression shows the pounds of grapes Martin has if he doubles his current amount?
Answers
Answer:
x=2*2 4/5
Step-by-step explanation:
: Martin had 2 4/5 pounds of grapes left.
So x=2*2 4/5
x=2* 14/5
x=28/5
x=5 3/5
The expression shows the pounds of grapes Martin has if he doubles his current amount of grapes. x=2*2 4/5
find the solutions to 9x^2-54x=0
Answers
Answer:
x₁ = 0
x₂ = 6
Step-by-step explanation:
9x² - 54x = 0
9x(x - 6) = 0
x(x - 6) = 0
x = 0
x - 6 = 0 → x = 6
Hope this helps! :)
Answer:
x₁ = 0
x₂ = 6
Step-by-step explanation:
9x² - 54x = 0
9x(x - 6) = 0
9x = 0 => x₁ = 0
x - 6 = 0 => x₂ = 6
which of the following is the probability that a blue marble will be selected from a bag containing 9 red marbles,6 blue marbles,7green marbles, and 11 yellow marbles if one is selected randomly?
Answers
Answer:
2/11
Step-by-step explanation:
Total number of marbles: 9 + 6 + 7 + 11 = 33
Number of blue marbles: 6
p(blue marble) = 6/33 = 2/11
Answer:
Probability = 2/11Step-by-step explanation:
[tex]9- red- marbles\\6- blue- marbles\\7-green- marbles\\ 11- yellow \\Probability = \frac{Event}{Total -No -of -Possible -Outcome} \\\\\\P = \frac{6}{9+6+7+11} \\P = \frac{6}{33} \\\\P = \frac{2}{11} \\[/tex]