Answer:
1/5 x X = 13
x5 x5
x = 65 in total
Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 6.
Answer:
A geometric sequence is a sequence of numbers such that the ratio of any two consecutive terms is always the same. This ratio is called the common ratio of the sequence.
In this case, the common ratio is 3/2 and the first term is 6. The nth term of a geometric sequence can be found using the formula:
a_n = a_1 * r^(n-1)
where a_n is the nth term, a_1 is the first term, and r is the common ratio.
Substituting the given values, we have:
a_8 = 6 * (3/2)^(8-1) = 6 * (3/2)^7
Calculating, we find that the 8th term is:
a_8 = 6 * (3/2)^7 = 6 * (9/2) = 27
Therefore, the 8th term is 27.
Step-by-step explanation:
In a class, 40% of the students are girls. Of the girls in the class, 25% play tennis. There are 40 students in the class. How many girls in this class, play tennis?
a- 10
b- 16
c- 4
d- 24
Answer:
Let x=number of girls in the class
Then x+27 =total number of students in the class
So our equation to solve is :
40% of (x+27)=x or
0.40(x+27)=x get rid of parens
0.40x+10.8=x subtract 0.40x from each side
0.40x-0.40x+10.8=x-0.40x collect like terms
Step-by-step explanation:
The price of a pair of pants decreased from $49.99 to $19.95. What was the percent decrease in the price?
Answer:
60.092%
Step-by-step explanation:
For this problem, we will simply create a ratio to find the difference created between the prices, and subtract this from 1 (100%) to find the percent decrease.
$19.95 / $49.99 = 0.39908
1 - 0.39908 = 0.60092
Given that we take away the difference from the price from the percent of the whole, we find that the price decrease is 60.092%.
Thus, we have found the percent decrease.
Cheers.
You want to test whether or not the following sample of 30 observations follows a normal distribution. The mean of the sample equals 11.83 and the standard deviation equals 4.53. 2 3 5 5 7 8 8 9 9 10 11 11 12 12 12 12 13 13 13 14 15 15 15 16 16 17 17 18 18 19 The number of intervals or categories used to test the hypothesis for this problem is a. 5. b. 6. c. 4. d. 10.
Answer:
b. 6
Step-by-step explanation:
The standard deviation is 4.53 approximately 5. The standard deviation tells how far the data is located from the mean.
The total number of observations= 30
So dividing 30/5 gives 6
Hence 6 intervals or categories used to test the hypothesis for this problem
as each category will have a data point in it .
So the best option is b.
how many milermiters are they in a centermeter
1 centimeter = 10 millimeters
is 10/12 and 40/64 a proportion
Answer:
No, it is not a proportion
Step-by-step explanation:
10/12 and 40/64 is not a proportion since although the numerator is constant because when multiplied by 4, it gives us 40, however, when you multiply 4 by 12, you get 48, therefore, it is not a proportion since the changes in the value of a proportion must be constant in both the numerator and denominator.
Hope this helped! :D
What is the domain of the profit function P= 11w+6Z?
O A. Defined for all w> 0 and 2 2 0
O B. Defined for all w 2 0 and z> 0
O c. Defined for all w> 0 and z> 0
D. Defined for all w20 and 22 0
Answer:
defined for all w greater than or equal to 0 & z greater than or equal to 0
Step-by-step explanation:
The domain of value defined as w>0 and z>0. Therefore, option C is the correct answer.
What is domain and range of the function?The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.
The given function is P=11w+6z.
Since, P is profit here, consider w values greater than zero and z values also greater than zero.
Therefore, option C is the correct answer.
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HELP with this equation
Answer:
83°
Step-by-step explanation:
-4m+51-4m+42= 158°
-8m+94= 158
-8m= 64
m= -8
JMK= -4m+51
= -4(-8)+51
= 32=51
= 83°
Right triangle XYZ has legs of length XY = 12 and YZ 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 20?
Step-by-step explanation:
a probability is always
desired cases / totally possible cases.
now in our case the totally possible area is the area of the triangle XYZ (when D = Z).
the desired case is the area of 20 (which contains also the possibilities of smaller areas).
so, the probability is 20/area.
now, let's find the area of XYZ :
Pythagoras tells us the length of the Hypotenuse :
XZ² = XY² + YZ² = 12² + 6² = 144 + 36 = 180
XZ = sqrt(180)
the area based on all 3 sides we get via Heron's formula
s = (a+b+c)/2
A = sqrt(s(s-a)(s-b)(s-c))
s = (12+6+sqrt(180))/2 = 9 + sqrt(180/4) = 9 + sqrt(45)
sqrt(180) = 2×sqrt(45)
A = sqrt((9+sqrt(45))(-3+sqrt(45))(3+sqrt(45))(9-sqrt(45)))
(a+b)(a-b) = a² - b²
so,
(9+sqrt(45))(9-sqrt(45)) = 81 - 45 = 36
(-3+sqrt(45))(3+sqrt(45)) = 45 - 9 = 36
A = sqrt(36×36) = 6×6 = 36
the probability that the area of XYD is max. 20 is
20/36 = 5/9
Juan sold half of his comic books and then bought six more. If he now has 36 comic books, with how many did he begin?
Answer:
60
Step-by-step explanation:
he bought 6 so you need to subtract 6
which 36-6=30
and double 30 is 30
so its 60
one of the angels of a pairs of complementary angel is 50degree. find the ratio of the Paris of complementary angel.
Answer:
The other complementary angle measures 40 degrees.
Step-by-step explanation:
Given that one of the angles of a pairs of complementary angles is 50 degrees, to find the ratio of the pair of complementary angles, the following calculation must be performed, knowing that the sum of two complementary angles is equal to 90 degrees:
X + 50 = 90
X = 90 - 50
X = 40
Therefore, the other complementary angle measures 40 degrees.
50points!
True or False, (-1,5) is a solution for these systems of equations.
y = -x + 4
y = 0.2x
Answer:
am not sure but I think is true. I am hopeful
Answer:
FalseStep-by-step explanation:
Substitute to verify:
5 = - (-1) + 45 = 5True for the first equation5 = 0.2(-1)5 = -0.2False for the second equation, so the answer is falseif a=o.3 and b=0.5 what is the value of a+b?
In a school, 60% of the girls and 70% of the boys own a bicycle. if a boy and a girl are selected at random from the school, find the probability that only one of them own a bicycle
Answer:
23/50 or 0.46
Step-by-step explanation:
probability of girls owning a bicycle 60/100=3/5
probability of girls no owning one is 1-3/5=2/5
same method for boys 70/100=7/10
probability for not is 3/10
to find the probability that only one does you would do..
(3/5*3/10)+(2/5*7/10)
which equals 23/50 or 0.46
hello pls tell me the answer quick pls
Answer: 1. Trapezoid. 2 scalene 3: 24 4: Q and R
Step-by-step explanation:
1 is trapzoid because there's only one parallel side. 2 is scalene since scalene triangles have no same sides. 3 is 24 because 4*2*3. 3 is Q and R because those sides are the same.
Write the word sentence as an equation.
11 3/4 is the quotient of a number y and 6 1/4
An equation that represents this sentence is ?
The equation that represents the sentence is y ÷ 6₄¹ = 11₄³
What is quotient?
The word quotient is the outcome when dividend is divided by a divisor.
The result that comes from a division process is termed as quotient. While writing an equation quotient is placed on the right-hand side of the equal sign.
The number that is divided by other number is called dividend and this other number is called divisor.
Write the word sentence as an equation given in question?11³₄ is the quotient of a number y and 6¹₄.
47/4 is the quotient of a number y and 25/4
hence, y is the dividend and 25/4 is the divisor
y ÷ 25/4 = 47/4
y × 4/25 = 47/4
y = 1175/16
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Please help I was sick and missed out on class thank you.
On solving the value of provided question we can say that - the value of the slope intercept y = -3.
what is slope intercept?The point on the y-axis where the slope of the line passes is known as the intersection point in mathematics. the location on a line or curve where the y-axis crosses that point. This is demonstrated by putting y = mx+c as the equation for the straight line, where m denotes the slope and c the y-intercept. In the intercept form of the equation, the slope (m) and y-intercept (b) of the line are highlighted. The slope is m, and the y-intercept is b for equations in the intercept form (y=mx+b). Additionally, certain equations may be recast to seem like slope intercepts. For instance, if y=x is rewritten as y=1x+0, the slope becomes 1 and the y-intercept becomes 0.
as we can see from graph that,
line passes through origin, so x= 0
the, y = -5x - 3
y = -3
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a group of students was asked about the number of emails they each sent that day the results are 0,0,1,2,3,4,5,6,6,7,8,8,8,9 i will post the other half now
Answer:
D
Step-by-step explanation:
All you do is count the values from 0 to 3 which there are 5 of and only D shows that (I got the remaining answer choices from your profiles other question showing the remaining answers)
Answer:
D is the answer
Step-by-step explanation:
All you do is count the values from 0 to 3 which there are 5 of and only D shows that (I got the remaining answer choices from your profiles other question showing the remaining answers)
Danielle is trying to solve the equation 7^x = 22 . Explain in detail how Danielle should solve this problem. Then solve it step by step showing all your work and tell Danielle what the answer should be.
Answer:
Step-by-step explanation:
7^x=22
take log of both sides
[tex]log(7)^x=log 22\\x log 7=log22\\x=\frac{log 22}{log7} \approx ~1.59[/tex]
A beach ball has a diameter of 18 inches. Find the volume of air in the ball to the nearest cubic inch. DO NOT ENTER THE UNIT OF MEASURE!
Answer:
24,429 cubic inches
YWW:)
Angle sec0= -13/12 and cot<0. what are the exact values of tan0 and sin0.
Answer:
tan 0= -2.4
sin 0 = 0.42
Step-by-step explanation:
sec 0 = -13/12 => cos 0 = -12/13
cot 0 < 0 => tan 0 < 0
so, the angle is on second quadrant
=> tan 0 = -12/5 = -2.4
=> sin 0 = 5/12 = 0.42
Answer:
Solution given;
Sec θ=-[tex]\frac{13}{12}[/tex]
cotθ< 0,
It lies in second quadrant.
where sin and cosec is positive.
Now
[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]
cosθ=[tex]\frac{12}{13}[/tex]
[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]
b=12
h=13
By using Pythagoras law
p=[tex] \sqrt{13²-12²}=5 [/tex]
Now
exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]
since it lies in II quadrant
tan θ=-[tex]\frac{5}{12}[/tex]
and
sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]
since it lies in II quadrant
sin θ=[tex]\frac{5}{13}[/tex]
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
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please help this is very important
Answer:
its A
Step-by-step explanation:
A crate is shaped like a rectangular prism. The
crate is 3 ft wide, 5 ft long, and 7 ft tall. What is the
volume of the prism in cubic feet?
Answer:
I think 105.
Step-by-step explanation:
3 × 5 = 15
15 × 7 = 105.
Answer: The answer is 105 cubic feet.
Step-by-step explanation: V= l x w x h, so V= 3 x 5 x 7 is the equation.
Please help me on this
The constant of proportionality is 3
4. Of the three elevations, -2 feet, -12 feet, and
30 feet, which represents the least number?
Which represents the farthest distance from
sea level?
On solving the provided question, we can say that - y proportional to as the cube of s, y = ks3, then 8 = k * 23 => k = 1 then y = 1 * 53 = 125
what is directly proportional?If two numbers are directly proportional, then as one quantity grows by a specific percentage, so does the other quantity by the same percentage. As an illustration, as gas costs rise, the price of food may also increase. If the ratio of two values x to y never changes, then x and y are said to be directly proportional to one another. example: Let's say you spend Rs. 50 on two pens. 4 pens cost 100 rupees each. If the ratio of two numbers, x and y, is greater than 1, then the two values The value of y1 is constant.
Since y proportional to as the cube of s, y = ks3.
8 = k * 23 => k = 1
then y = 1 * 53 = 125
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Find the median: 86, 24, 65, 65, 24, 24 *
Answer:
24 or uhm 44.6? i.d.k.
Step-by-step explanation:
The median of the given set {86, 24, 65, 65, 24, 24} is 44.5.
To find the median of the given set of numbers: 86, 24, 65, 65, 24, 24, we need to first arrange the numbers in ascending order:
24, 24, 24, 65, 65, 86
Now, there are six numbers in the set. Since there is an even number of data points, the median is the average of the two middlemost values.
The two middlemost values are 24 and 65.
Median = (24 + 65) / 2 = 89 / 2 = 44.5
So, the median of the given set is 44.5.
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In a survey, 13 out of 20 teachers respond yesto a proposal for a new after-school club. In the same survey, 37 out of 50 students respond yes. a.Which group is more in favor of the new after-school club, teachersor students? Show your work
Answer: To compare the level of support for the new after-school club between teachers and students, we can calculate the percentage of individuals in each group that responded "yes" to the proposal.
For teachers: 13 out of 20 is equivalent to 13/20 = 0.65 or 65%
For students: 37 out of 50 is equivalent to 37/50 = 0.74 or 74%
Based on the percentage of individuals in each group that responded "yes," we can see that students are more in favor of the new after-school club than teachers. 74% of students responded "yes" to the proposal, while only 65% of teachers responded "yes."
It's worth mentioning that it's important to keep in mind that this comparison is based on the sample size of teachers and students that responded to the survey and not the whole population, also if the sample size isn't representative of the population and not randomly selected it can't be generalized.
Step-by-step explanation:
Nina uses 2/3 cup peanuts, 1/2 cup cashews, 3/4 cups pecans, and some raisins in a recipe that makes 2 1/4 cups of trail mix. How many cups of cashews are there per cup of trail mix?
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
1/2 ÷ 2 1/4
1/2 ÷ 9/4
1/2 x 4/9 = 4/18 = 2/9
write an equation to describe the following situation in terms of Y and X
Answer:
[tex]y = 19000x \\ 19000 = 1 \times 19000 \\ 114000 = 6 \times 114000 \\ 133000 = 7 \times 19000[/tex]
An iPhone costs £850 in London, €800 in Paris and $1,000 in New York.
Using £1 = €1.18 and £1 = $1.43, state the lowest price of the iPhone in £.
Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.
What is lowest value of iphone ?It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.
Sterling to Euro : [tex]$750 \times 1.14=6855$[/tex]
Pounds to dollars : [tex]$750 \times 1.39=\$ 1042.5$[/tex]
One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.
The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.
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