Answer:
6x+5
Step-by-step explanation:
2x+4x =6x
10-5=5
6x+5
Suppose Kalvin spins the pointer 64 times. Based on your experiment, how many times can you expect the pointer to land on 9:00, on 10:00 and on 11:00?
Answer:
16 times out of 64
Step-by-step explanation:
So, I could be wrong, but basically:
9, 10, and 11 are only 3 of the 12 possible outcomes that could happen.
3 out of 12 is 1/4.
What this means is that for every 4 times he spins the pointer, he can expect to get 9, 10, or 10 once.
Or 25% of the time
1/4 of 64 is 16.
Is 43,093 less than 43,903
Answer: yes
Step-by-step explanation:
43093 is less than 43903
What is the square root of r^64
Answer: r8
Step-by-step explanation:
The square root of r⁶⁴ is r³².
Here, we have,
The square root of a number r⁶⁴ can be found by taking the square root of the base (r) and dividing the exponent (64) by 2.
Square root of r⁶⁴:
√(r⁶⁴)
Since the exponent is even (64), we can divide it by 2:
√(r⁶⁴⁻²)
√(r³²)
Therefore, the square root of r⁶⁴ is r³².
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Tomato juice is sold in a case with 8 cans. Complete the table to show the relationship between the number of cases and the number of cans .
Step-by-step explanation:
1 case- 8 cans
If you have 32 cans and you know that 1 case can have 8 cans you do this:
32:8=4 cases
Then if you have 10 cases in each you get 8 cans so it equals:
10*8=80cans
And last:
You have 96 cans and again you know that one case can contain 8 cans so it is:
96:8=12 cases
When you write that:
1. answer: 8
2.answer:4
3.answer:80
4.answer:12
If U is the set of all natural numbers less than 10, A is its subset containing all natural numbers less than 6 and B⊂U consists of all natural numbers greater than 4 (and of course smaller than 10), draw Venn diagram showing these sets. List elements of sets A, B, their union, and their intersection.
I need to know the area of this triangle
Answer:
the area is 4 square
Step-by-step explanation:
beacuse of the shape
For a five-year moving average, how many values will be lost at the beginning and end of the time series?
Answer:
2 Values
Step-by-step explanation:
For a five-year moving average, two values will be lost at the beginning and end of the time series.
This is because we add the first five elements and divide it by 5 to get the five year moving average. But the middle value of 5 is 2.5 which is greater than 2 so the result is placed against the third value. In this way the first two and last 2 values are lost.
For understanding let us compute the 5 year moving average as
a1= 1/5( y1+ y2+y3+ y4+y5)
a2= 1/5 ( y2+y3+ y4+y5+ y6)
a3 = 1/5(y3+ y4+y5+ y6+ y7)
a4= 1/5(y4+y5+ y6+ y7+ y8)
a5= 1/5(y5+ y6+ y7+y8+y9)
The average so obtained are placed opposite the middle year of each group.
So the values at the y1,y2 ,at the beginnign and at the end y8 and y9 are lost.
Which of the following are the pairs of equivalent fractions?
(i) 5 / 6 and 20 / 24
(ii) 3 / 8 and 15 / 40
(iii) 4 / 7 and 16 / 21
(iv) 2 / 9 and 14 / 63
(v) 1 / 3 and 9 / 24
(vi) 2 / 3 and 33 / 22
A bus holds 30 people, and a van holds 10 people. Write an expression that shows the number of people that could fill b buses and v vans?
Answer:
30b+10v
Step-by-step explanation:
6th grade math, help me please:)
Answer:
21
Step-by-step explanation:
Just like a dilation you want to find some sort of scale factor. Now when 7/2 is simplified it then becomes 3.5. Now multiply that by 6 since we are trying to find the ratio. when multiplied by 6 it becomes 21 so the ration of wins to losses is 21/6
Does this horizontal line have a slope? Explain pls.
picture is included and if you answer there is 2 questions!
2 out of every 7 come on a weekend. what percentage of days come on a weekend?
determine the answer to the nearest tenth of a percent
Answer:
0.30%
Step-by-step explanation:
Question:
If the nearest percentage is 0.30% what’s the nearest tenth of a percent?
Show how to find the sine, cos, and tangent of 30° given that cos60°=1/2.
Answer:
Step-by-step explanation:
Given that cos(60°) = 1/2, we can use trigonometric identities to find the sine, cosine, and tangent of 30°:
Sine of 30°:
sin(30°) = √[1 - cos^2(30°)] = √[1 - (cos(60°)/2)^2] = √[1 - 1/4] = √3/2.
Cosine of 30°:
cos(30°) = √[1 - sin^2(30°)] = √[1 - (√3/2)^2] = √[1 - 3/4] = √1/4.
Tangent of 30°:
tan(30°) = sin(30°) / cos(30°) = (√3/2) / (√1/4) = √3.
So, the sine of 30° is √3/2, the cosine of 30° is √1/4, and the tangent of 30° is √3.
In a manufactory, there are two types of spoilages. It is found that 5% of spoilages are due to transformer spoilage, 8% are due to line spoilage and 3% involve both problems. (a) Are the two types of spoilages independent or not? Justify your answer. (b) What is the probability that: i- line spoilage given that there is transformer spoilage ii- Transformer spoilage but not line spoilage. iii- Transformer spoilage given that there is no line spoilage iv- Neither transformer spoilage nor there is no line spoilage v- Either transformer spoilage or there is no line spoilage
Answer:
Step-by-step explanation:
Let us denote probability of spoilage as follows
Transformer spoilage = P( T ) ; line spoilage P ( L )
Both P ( T ∩ L ) .
Given
P( T ) = .05
P ( L ) = .08
P ( T ∩ L ) = .03
a )
For independent events
P ( T ∩ L ) = P( T ) x P ( L )
But .03 ≠ .05 x .08
So they are not independent of each other .
b )
i )
Probability of line spoilage given that there is transformer spoilage
P L/ T ) = P ( T ∩ L ) / P( T )
= .03 / .05
= 3 / 5 .
ii )
Probability of transformer spoilage but not line spoilage.
P( T ) - P ( T ∩ L )
.05 - .03
= .02
iii )Probability of transformer spoilage given that there is no line spoilage
[ P( T ) - P ( T ∩ L ) ] / 1 - P ( L )
= .02 / 1 - .08
= .02 / .92
= 1 / 49.
i v )
Neither transformer spoilage nor there is no line spoilage
= 1 - P ( T ∪ L )
1 - [ P( T ) + P ( L ) - P ( T ∩ L ]
= 1 - ( .05 + .08 - .03 )
= 0 .9
A group of cyclists recorded the distance they have traveled.
Draw a line plot and answer the questions below.
Name
Gina
Rey
Faye
Mark
John
James
Albert
William
Nathan
Kate
Mary
Risa
Paul
Abi
Joan
Distance in
miles
40 1/2
50
35 3/4
60
45
55 1/4
60
45
40 1/2
50
45
40 1/2
60
40 1/2
35 3/4
Title:
1. How many cyclists were there?
2. What was the longest distance traveled?
3. How many cyclists traveled less than 50 miles?
4. What was the most common distance traveled by
the cyclists?
5. How many more cyclists traveled 45 miles than
55 1/4 miles?
6. How many cyclists traveled more than 45 miles
A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.
The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.
Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.
Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.
A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
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Please help if you can
1) The lower limit of the confidence Interval is: 1489.77.
The upper limit of the confidence Interval is: 1530.23
2) The lower limit of the confidence Interval is: 1478.32
The upper limit of the confidence Interval is: 15411.68
How to find the confidence Interval?The formula to find the confidence interval is:
CI = x' ± z(σ/√n)
where:
CI is confidence interval
x' is sample mean
z is z-score at confidence level
σ is standard deviation
n is sample size
1) The parameters are:
σ = $234
x' = $1510
n = 362
z at 90% CL = 1.645
Thus:
CI = 1510 ± 1.645((234/√362)
CI = 1510 ± 20.23
CI = (1489.77, 1530.23)
2) The parameters are:
σ = $234
x' = $1510
n = 362
z at 99% CL = 2.576
Thus:
CI = 1510 ± 2.576((234/√362)
CI = 1510 ± 31.68
CI = (1478.32, 15411.68)
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Convert 506 minutes to hours and minutes.
Answer:
8 hours and 26 minutes
Step-by-step explanation:
To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.
First, we can divide 506 by 60 to find the number of hours:
506 ÷ 60 = 8 with a remainder of 26
This means that 506 minutes is equal to 8 hours and 26 minutes.
Therefore, the conversion of 506 minutes to hours and minutes is:
8 hours and 26 minutes
Kevin takes classes at both Westside college and Pinewood college at Westside class fees are $98 per credit hour and Pinewood they are $115 per credit hour. Karen is taking combined total of 18 credit hours at the two schools. Suppose that she's taking W credit hours at Westside. Write an expression for the combined total dollar amount that she paid for the class fees
Answer:
y = 98(w) + 115(18 - w)
Step-by-step explanation:
The expression that represents how much Kevin spends for classes at both schools : (#credits at Westside)($98) + (#credits at pinewood)($115). If he takes all credits at Westside this is 18(98) + 0, which would be the lowest cost it could be, if he takes all credits at Pinewood this would be 0 + (18)(115) which would be the maximum Bob could pay for 18 credits. If y is the total cost of is courses, then y = 98(w) + 115(18 - w). Using the distributive property, this can be simplified.
Points X, Y, and Z are collinear, and Y is the midpoint of XZ . Find
the value of b.
The measure of the variable 'b' from the line is 11
Collinear points on a lineCollinear points are points that lies on the same straight line. From the given diagram:
XY = YZ (since Y is the midpoint of XZ)
where:
XY = 2b + 7
YZ = 3b - 4
Substitute the given parameters to have:
2b + 7 = 3b - 4
2b - 3b = -4 - 7
-b = -11
b = 11
Hence the measure of the value of b from the line is 11
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Which equation can be used to solve for � xx in the following diagram?
Equation which can be used to solve for the value of x is
3x° + 2x° + 80 °= 180° .
Straight angle pair is the sum of two or more angles that are in pair of angles that form a straight line is always equal to 180°.
As shown in the diagram angle on the lines are -
3x ° , 80° , 2x° respectively
Sum of all these angle will be equal to 180°.
3x° + 2x° + 80° = 180
The correct equation to find the value of x is 3x° + 2x° + 80° = 180° .
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PLEASE HELP ASAP WILL GIVE 50 PTS AND BRAINLIEST :) thank u !!
Answer:
a is g(x) b is f(x)
Step-by-step explanation:
because a increases faster
15
25
15
23
15
23
17
21
21
19
15
a.) The standard deviation is(round to two decimal places)
b.) The variance is(round to one decimal place)
c.) The range is
Do it on a piece of paper and put it in the answer box ASAP
Step-by-step explanation:
absolutely. there is no mathematical problem to solve.
just do what the instructions tell you.
that is an exercise for you to get a feeling what is what.
#7 find the answer with the offering 20% discount
Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.
What is a discount?A discount is an amount that reduces the price of a retail item.
Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.
Discount rate on offer = 20%
Discounting factor = 80% or 0.8 (100 - 20%)
Manufacturer's coupon off the price = $200
Let the price of the bureau = x
The price after the discount (discounted price) is given by D(x)
D(x) = 0.8x
The price after the coupon = C(x) = x - 200
The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200
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Complete Question:Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).
During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, what will the population be 7.2 minutes from now?
During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:
P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes
The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.
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Question
You wish to take out a $375,000 mortgage, which is to be paid monthly. The yearly interest rate on the loan is 3% and the
loan is for 25 years. Calculate the total interest paid over the life of the loan.
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.
Provide your answer below:
Answer:$158,488
Step-by-step explanation:
We have P0=$375,000,r=0.03,k=12,N=25, so substituting in the numbers into the formula gives
$375,000=d(1−(1+0.0312)−25⋅12)(0.0312),
that is,
$375,000=210.87645d⟹d=$1,778.2924.
To calculate the total interest, we have
$1,778.2924×25×12−$375,000=$158,488.
Answer: $1778.29
$375000 = 210.878645d > d = $1778.29
a natural number when divided by 12 15 18
Answer:
173
Step-by-step explanation:
Assume the natural number is x.
x/12 = ... R 5
x/15 = ... R 8
x/18 = ... R 11
Thus, x+7 is divisible by 12, 15 and 18 all together.
The smallest possible number of x+7 can be calculated with prime factorization.
12=2^2 * 3
15=3 * 5
18=2 * 3^2
The smallest possible number for x+7 is 2^2 * 3^2 * 5 = 4 * 9 * 5 = 180.
Therefore, the smallest possible solution for x is 180 - 7 = 173.
What is the domain of f(x)? {x | 1 < x < 5} {x | 1 < x < 5} {y | −4 < y < 1} {y | −4 < y < 1}
The domain of function f(x) is given as follows:
{x | 1 ≤ x < 5}.
How to define the domain and range of a function?The domain of a function is defined as the set containing all possible input values of the function, that is, all the values assumed by the independent variable x in the context of the function.The range of a function is defined as the set containing all possible output values of the function, that is, all the values assumed by the dependent variable y in the context of the function.The values of x of the function given at the end of the answer are as follows:
Starts at x = 1(closed interval).Ends at x = 5 (open interval).Hence the domain is given as follows:
{x | 1 ≤ x < 5}.
Missing InformationThe function is given by the image presented at the end of the answer.
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Answer:
A - {x | 1 < x < 5}
Step-by-step explanation:
took the Quiz
Please help me ! I’ll give anyone a 5 star rating for the correct answers.
Answer:
A)Josh
B)Mila
C) Amir
Please help!!!!!!!! :(
Answer:
BM=26
Step-by-step explanation:
AM =BM
3x-4 = 4x -14
x=10