Answer:
6 mi
Step-by-step explanation:
10560 yds ÷ 1760 yds = 6 mi.
Answer: 6 miles
Step-by-step explanation:
1 mile = 1,760 yds.
Then 10,560/1,760
= 6
Therefore, 10,560 yards is equal to 6 miles
Help please! How would i solve this?
Answer:
B is correct
Step-by-step explanation:
What is need to be done here is to set up an exponential equation for both scenario.
The exponential equation to set up is as follows;
V = P(1 + r)^t
It looks exactly like an equation used to get the amount on a compound interest after a stipulated number of years.
We have the following definitions;
V is the future value.
P is the present value
r is the rate in percentage
t is the time in years
So, for A, we have;
Kindly note that 4% = 4/100 = 0.04
110,000(1+0.04)^t = 110,000(1.04)^t
For B, we have;
6/100 = 0.06
100,000(1+0.06)^t = 100,000(1.06)^t
Now expected value of B is twice that of A.
The equation that defines this would look like;
100,000(1.06)^t = 2(110,000(1.04)^t)
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found that 1334 of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and 5663 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than 20% of the pumps are inaccurate. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.
Answer:
We accept H0, Therefore we conclude that there is no evidence to support the claim that less than 20% of the pumps are inaccurate.
Step-by-step explanation:
We have,
x = 1334
n = 1334 + 5663 = 6997
we have to:
p = x / n = 1334/6997 = 0.1907
The hypothesis is:
H0: P = 0.20
H1: P <0.20
P = 0.2 and Q = 1 - P = 0.8
the test statistic is:
Z = (p - P) / [(P * Q / n) ^ (1/2)]
replacing:
Z = (0.1907 - 0.20) / [(0.2 * 0.8 / 6997) ^ (1/2)]
Z = -1.96
now, the p-value is
P = 0.0250, from normal table, attached
Here p-value> 0.01, so we accept H0, Therefore we conclude that there is no evidence to support the claim that less than 20% of the pumps are inaccurate.
Solve the simultaneous equations 3x+y=8 X-3Y=11
Answer:
(7/2, -5/2)
Step-by-step explanation:
We can solve this multiple ways: Algebraically (Substitution or Elimination) or Graphically
Step 1: Write 1st equation in terms of y
y = 8 - 3x
Step 2: Substitute y of 2nd equation
x - 3(8 - 3x) = 11
Step 3: Solve for x
x - 24 + 9x = 11
10x - 24 = 11
10x = 35
x = 7/2
Step 4: Plug x to find y
3(7/2) + y = 8
21/2 + y = 8
y = -5/2
Answer:
Step-by-step explanation:
let's organize our information :
3x+y=8x-3y=11The trick here is to multiply x-3y=11 by -3 then add it to 3x+y=8 to get rid of x and get a normal equation
we get : -3x+9y= (-33)
then after the addition : 3x+y-3x+9y=8-33⇔ 10y=(-25)
so y=(-25)/10= -5/2
let's replace y by -5/2 in 3x+y=8 3x-5/2 =8⇔ x= 21/6so y= (-5/2) and x= 21/6
Evaluate 3(4-2) what would be the answer to this
Answer:
6
Step-by-step explanation:
3(4 - 2)
Expand brackets.
3(4) + 3(-2)
12 + - 6
= 6
━━━━━━━☆☆━━━━━━━
▹ Answer
6
▹ Step-by-Step Explanation
Follow PEMDAS:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
3(4 - 2)
3(2)
= 6
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Simple question
please answer need asap
the answer is A. 1,073 ft
So for math class they gave me this equation and it is 6 ÷ 3(1+2) it makes no sense, I just keep getting stumped
Answer:
The answer is 6.
Step-by-step explanation:
6 ÷ 3 = 2
2+4 = 6
Prices for a day-ticket entrance at the Day-ticket Disneyland Paris Resort are as follows Pric Entrance Adult 205 $45 E170 Children Work out the percentage discount offered with the family ticket option. 2 adults, 2 children)
Answer:
15%
Step-by-step explanation:
Price of daily tickets entrance
Adult=£55
Children=£45
Family (2 adults and 2children)=£170(discount price)
Let
price for adults=a
Price for Children=c
Price of tickets without discount for 2 adults and 2 children=2(a+c)
=2(55+45)
=2(100)
=£200
Percentage discount offered with the family tickets=difference in price/original price×100
=£200-£170/200×100
=30/200×100
=30/2
=15%
The Percentage discount offered with the family tickets=15%
How is this wrong? Please explain to me.
Answer:
Wrong values are plotted in the question statement graph.
Please find correct graph.
Step-by-step explanation:
Given that:
[tex]y =x+3[/tex] and [tex]-1<x<5[/tex]
i.e. we can put a value of x in the equation which is greater than -1 and lesser than 5.
OR
we can say, the points where x = -1 and x = 5 will not be included in the graph (they will be shown as hollow circle).
Now, let us put the values one by one:
x = -1, y = -1 + 3 =2
x = 0, y = 0 + 3 = 3
x = 1, y = 1 + 3 = 4
x = 2, y = 2 + 3 = 5
x = 3, y = 3 + 3 = 6
x = 4, y = 4 + 3 = 7
x = 5, y = 5 + 3 = 8
Therefore, the table of values become:
[tex]\begin{center}\begin{tabular}{ c c } x & y\\ -1 & 2\\ 0 & 3 \\ 1 & 4 \\ 2 & 5 \\ 3 & 6 \\ 4 & 7 \\5 & 8\\\end{tabular}\end{center}[/tex]
Points (-1, 2) and (5, 8) will not be included in the graph.
Please find attached corrected graph.
Blaine says that the product of a positive integer and a negative integer is always less than either factor. Is he correct? Provide examples or counterexamples to support your answer.
Answer:
you go to th harris right cause u literally have the same summer schools answers
Step-by-step explanation:
the magic dragon cigarette company claims that their cigarettes contain an average of only 10 mg of tar. a random sample of 100 magic dragon cigarettes shows the average tar content to be 11.5 mg with a known population standard deviation of 4.5 mg. construct a hypothesis test to determine whether the average tar content of magic dragon cigarettes exceeds 10 mg. use a 5% level of significance.
what is the critical value method and pvalue method
Answer:
[tex]t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333[/tex]
Critical value
The significance is 5% so then [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] then the critical value for this case would be [tex] z_{\alpha/2}= 1.64[/tex]. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg
P value
The p value would be given
[tex]p_v =P(z>3.333)=0.000434[/tex]
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg
Step-by-step explanation:
Information given
[tex]\bar X=11.5[/tex] represent the sample mean
[tex]\sigma=4.5[/tex] represent the population standard deviation
[tex]n=100[/tex] sample size
[tex]\mu_o =10[/tex] represent the value that we want to test
[tex]\alpha=0.05[/tex] represent the significance level for the hypothesis test.
t would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to test if the true mean is higher than 10mg, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 10[/tex]
Alternative hypothesis:[tex]\mu > 10[/tex]
the statistic for this case would be given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing we got:
[tex]t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333[/tex]
Critical value
The significance is 5% so then [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] then the critical value for this case would be [tex] z_{\alpha/2}= 1.64[/tex]. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg
P value
The p value would be given
[tex]p_v =P(z>3.333)=0.000434[/tex]
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg
i need help with this i dont understand at all. find the 1st, 2nd, 3rd, 4th and 10th nTh term rule is n+5
The rule is n + 5
So we have that
an = n + 5
Where n is the term, that said we want the 1st, 2nd, 3rd, 4th and 10th term
a1 = 1 + 5 = 6
a2 = 2 + 5 = 7
a3 = 3 + 5 = 8
a4 = 4 + 5 = 9
a10 = 10 + 5 = 15
rationalize the denominator of
1/3+√2
Answer:
(-√2 + 3)/7
Step-by-step explanation:
To rationalize the denominator, we need to multiply by the conjugate:
1/(3 + √2)*(3 - √2)/(3 - √2)
(3 - √2)/(9 - √4)
(3 - √2)/(9 - 2)
(-√2 + 3)/7
Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frog population
Answer:
Step-by-step explanation:
This is exponential, of the form
[tex]y=a(b)^x[/tex] where a is the initial amount and b is the growth/decay rate. If Ginny begins the study with 1200 frogs in the population, our a value is 1200.
If the population is decreasing 3% per year, it is decreasing 100% - 3% = 97% which, as a decimal, is .97. Our exponential function, then, is
[tex]y=1200(.97)^x[/tex]
Two Chords, Find X. Need help with this answer as soon as possible.
Answer:
77
Step-by-step explanation:
The measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures of the intercepted arcs.
(The sum of the measures of the intercepted arcs)/2
(76+78)/2
154/2
77
The figure below shows a line graph and two shaded triangles that are similar:
-20-16-12-8-40
-1
4 8 12 16 20
Which statement about the slope of the line is true?
The slope from point o to point A is one-fourth times the slope of the line from point A to point B.
The slope from point o to point A is four times the slope of the line from point A to point B.
Olt is throughout the line
It is -4 throughout the line.
Answer:
It is - [tex]\frac{1}{4}[/tex] throughout the line
Step-by-step explanation:
The points O, A and B lie on the line and so the slope will be the same for OA, OB and AB
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = B(- 12, 3) and (x₂, y₂ ) = O(0, 0)
m = [tex]\frac{0-3}{0+12}[/tex] = [tex]\frac{-3}{12}[/tex] = - [tex]\frac{1}{4}[/tex]
Thus the slope is - [tex]\frac{1}{4}[/tex] throughout the line.
2 5 ( 1 3 x− 15 8 )− 1 3 ( 1 2 − 2 3 x)
Answer:
If you were doing... 25(13x-15 8)-13(12-23x), the answer would be...
624x-3156
If you were doing... 25(13x-158)-13(12-23x), the answer would be...
624x-4106.
Step-by-step explanation: Simplify the expression.
I hope this helps you out! ☺
The simplification of algebraic expression 25(13x - 158) - 13(12 - 23x) is 624x - 4106.
An algebraic expression is an expression built up from constant, variables, and algebraic operations : addition, subtraction, multiplication, division and exponentiation.
To simplify an algebraic expression, we can only add or subtract the like terms. Like terms are variables with same exponent.
Given in the question,
algebraic expression = 25(13x - 158) - 13(12 - 23x)
Simplifying the expression,
[tex]= 25(13x - 158) - 13(12 - 23x)\\\\= 325 x - 3950 - 156 + 299x\\\\=325x + 299x - 3950 - 156\\\\= 624x - 4106[/tex]
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The population of China was about 1,360,000,000 people in 2014. Which number best approximates the population as a single digit times a power of 10?
Answer: 1 * 10^9
Step-by-step explanation:
1*10^9 = 1,000,000,000, which is the closest you can get.
Hope it helps <3
Pls help me ima mark BRAINLIST
Answer:
24.5
Step-by-step explanation:
Year 2000 would be 1, so year 2016 would be 17
Your equation is 1.5x - 1, and since we have x = 17, we simply plug it in:
1.5(17) - 1
25.5 - 1
24.5 is our estimated population using the line of best fit.
Answer:
23
Step-by-step explanation:
Note that the horizontal axis notes the years since 2000. This means that each increase in the x axis increases the year by 1. Thus, it means that at x=1, it is 2001, at x=2, it is 2002. In other words, in 2016, x=16.
We can just put this number into the equation:
y=1.5(16)-1
y=24-1
y=23
Gracie has 5555 pet bunnies that love to eat whole carrots. She has 39393939 carrots to feed the bunnies. Gracie will use as many carrots as she can and give each bunny the same number. How many carrots will each bunny get?
Answer:
7,091.61
Step-by-step explanation:
If you have a number 1. (39393939) and you have another number 2. (5555) and you want the second number to get the same amount as the other numbers but evenly, you need to divided the first number with the second number.
Ex. 39393939/ 5555 = 7,091.61
So each bunny will get 7,091.61 carrots.
Identify the property that justifies the following statement: I will make you a brainllest.
Answer:
reflexive property of simliarity
Step-by-step explanation:
What is the sign of the product (−4)(2)(−3)(6)? (5 points) Select one: a. Positive, because the products (−4)(2) and (−3)(6) are negative and the product of two negative numbers is positive b. Positive, because the products (−4)(2) and (−3)(6) are positive and the product of two positive numbers is positive c. Negative, because the products (−4)(2) and (−3)(6) are negative and the product of two negative numbers is negative d. Negative, because the products (−4)(2) and (−3)(6) are positive and the product of two positive numbers is negative
Answer: Option A
Step-by-step explanation:
Jason is playing a game. He has two sets of cards. One set has three red cards, numbered 1, 2 and 3. The other set has four green cards, numbered 4, 5, 6 and 8. Jason chooses a red card and a green card at random. He works out his score by adding the numbers on the two cards together. A sample space diagram is drawn below. Work out the probability that Jason gets a score of 9 or more.
Answer:
1/3
Step-by-step explanation:
There are 12 different sums.
4 of the sums are 9, 9, 10, 11.
All other sums are 8 or less.
p(9 or more) = 4/12 = 1/3
Which shows the correct method for solving the equation below? One-third (y minus 9) = 3 A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 6, y = 18. Column 2 is labeled property used with entries distributive property, addition property of equality, multiplication property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 27 = 3, one-third y = 30, y = 10. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 1, one-third y = 4, y = 12. Column 2 is labeled property used with entries distributive property, addition property of equality, division property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 0, y = 0. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality.
Answer:
1st one 18
Step-by-step explanation:
you distribute the 1/3 then at 3 then multiply by 3
When I say multiply by 3 I mean 1/3=6 multiply both sides by 3
Answer:
Its A or 18
Step-by-step explanation:
thanks to the other guy
A small grain silo is filled with wheat at the end of each season. If the silo is only half full, how many cubic meters of wheat have been stored? Group of answer choices 339.29 m³ 223.19 m³ 169.65 m³ 113.10 m³
Answer:
Volume of wheat = 147.26 m³ (check the explanation)
Step-by-step explanation:
The question still lacks some details such as the size of the silo. We will go forward by assuming the size of the silo to aid our calculation. Silos are cylindrical storage structures that range from 3 - 27 m in diameter and 10 - 90 m in height. For the purpose of this question, let's assume that the size of the silo is 5 m (diameter) by 15 m (height).
Let's list out the parameters to be used:
diameter (D) = 5 m; r = D ÷ 2 ⇒ r = 5/2 = 2.5 m,
height (h) = 15 m
Volume of silo = πr²h = π * 2.5² * 15
V (silo) = 294.52 m³
The silo is half full ⇒ ½ * V
Volume of wheat stored is given by half of the silo volume, since the silo is half-full
V (wheat) = ½ * 298.52
V (wheat) = 147.26 m³
1. What is the exact circumference of a circle that has a radius of 10 cm?
Answer:
62.8318531
10 x 2 = 20 so 20 is the diameter
20 x pi = 62.8318531
Hope this helps
Step-by-step explanation:
The exact circumference of a circle that has a radius of 10 cm is 62.8318531
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
Given that circle that has a radius of 10 cm
The circumference is given by
C = 2πr
= 2π10
= 20π
10 x 2 = 20
Therefore, 20 is the diameter
So, 20 x π = 62.8318531
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Which is a factor of: 2x^2+2x−12 ?
Answer:
(x - 2) and (x + 3) is a factor of: 2x² + 2x - 12
Step-by-step explanation:
2x² + 2x - 12 given equation
Now divide it by 2 we get,
x² + x - 6
then
x² + x - 6
x² + 3x - 2x - 6
x(x + 3) - 2(x + 3)
(x - 2) (x + 3)
Answer:
2 ( x+3)(x-2)
Step-by-step explanation:
2x^2+2x−12
Factor out 2
2 ( x^2 +x-6)
Factor inside the parentheses
What 2 numbers multiply to -6 and add to 1
3*-2 = -6
3+-2 =1
2 ( x+3)(x-2)
AC is tangent to circle o at point c. What is the length of AC? ___________ units. diagram below pls help
Answer:
AC = 4 units
Step-by-step explanation:
[tex] OB = OC = 3 (Radii \:of \:same \:circle) \\
OA = OB + AB = 3 + 2 = 5\\
OA \perp AC.. (tangent\: \perp radius) \\
\therefore m\angle OCA = 90\degree \\[/tex]
By Pythagorean theorem:
[tex] AC^2 = OA^2 - OC^2 \\
= 5^2 - 3^2 \\
= 25-9\\
= 16\\
AC =\pm \sqrt{16}\\
AC = \pm 4[/tex]
Since, side of a triangle can't be negative.
Therefore, AC = 4 units
Find the measure of angle C of a triangle ABC, if: d m∠A = 60°+α, m∠B = 60°−α???
Answer:
c= 60
Step-by-step explanation:
The value of measure of angle C of a triangle ABC is 60°.
Here,
Given that, in a triangle value of two angles is,
m∠A = 60°+α, m∠B = 60°−α
We have to find the angle C of a triangle ABC.
What is sum of angle in triangle?
In a triangle, The sum of angles of a triangle is 180°.
Now,
Given that, in a triangle value of two angles is,
m∠A = 60°+α, m∠B = 60°−α
Let measure of angle C is x°.
⇒ Sum of all angle of triangle = 180°
⇒( 60°+α )+ ( 60°−α ) + x° = 180°
⇒ 120° + x° = 180°
⇒ x° = 180° - 120°
⇒ x° = 60°
Hence, The value of measure of angle C of a triangle ABC is 60°.
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How many many weeks are in 105 days?
Answer: 15 weeks
Step-by-step explanation:
Because there are 7 days in a week, simply divide 105/7 to get 15 weeks.
Hope it helps <3
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------
Answer: There are 15 weeks in 105 days.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Since there are 7 days in a week, we need to divide the time value by 7 .
Like this:
105 / 7 = 15.
In a study of pain relievers , 100 people were given product A , and all but 33 experienced relief . In the same study , 50 people were given product B , and all but 12 experienced relief
Answer:
Here we want to find the relative frequencies for both products.
for product A we have a sample of 100 people (our 100%) and all but 33 of them experienced relief.
Then, we can find the relative frequency as:
Pa = (33/100)*100% = 33%
this means that product A is not efficient in 33% of the cases.
For product B, the sample is 50 people (our 100%) and all but 12 of them experienced relief, then the relative frequency is:
Pb = (12/50)*100% = 24%.
This means that product B is not efficient in 24% of the cases.
We can see that, in percentage, the product B seems to be more efficient.