Please someone answer. Identify the vocabulary word that matches the picture.​

Answer:

No

Step-by-step explanation:

Because after u substitute the 15 for the x u get 38>42 which is incorrect

Answer:

a(first term)=4

d(common difference)=6

sum of first 6 terms=114

The sum of the first 6 terms is given by 114

An Arithmetic progression (AP) is a special type of progression in which the difference between two consecutive terms is always a constant. The terms of an arithmetic progression series is a a+d, a + 2d, a + 3d, a + 4d, a + 5d,…

Given here The 3rd and the 6th terms of an Arithmetic Progression (A.P) are 16 and 34 respectively. Here on increase in 3 terms the value changes by  34-16=18 Thus if we move by +1 term the common difference must be 18/3=6 and thus the common difference is equal to 3.

∴ The Arithmetic progression is given by:

4,10,16,22,28,34 . . . .

∴ The sum of the first 6 terms is 4+10+16+22+28+34=114

Hence, The sum of the first 6 terms is given by 114

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We can say , YES , the sample sizes for both the groups are large enough for the central limit theorem to apply .

In the question ,

it is given that ,

the sample size for population A is = 50,

the proportion of population A = 0.45

the sample size for population B is = 40,

the proportion of population B = 0.38

mean of the difference is = 0.45 - 0.38 = 0.07

The sample size gets large as the sampling distribution becomes almost normal regardless of the shape shape of the population .

So , Yes the sample proportion follow a normal distribution .

Therefore , Sample Size are large enough for Central Limit Theorem to apply .

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Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

a) Approximate Doubling Time Dappx = 70/r, where r is the annual interest rate in percentage terms.Assuming that r = 5%, 10%, 20%, 40%, and 60%Doubling time for 5% = 70/5 = 14 yearsDoubling time for 10% = 70/10 = 7 yearsDoubling time for 20% = 70/20 = 3.5 yearsDoubling time for 40% = 70/40 = 1.75 yearsDoubling time for 60% = 70/60 = 1.1667 yearsb) Exact Doubling Time Dexact = ln2/r where r is the annual interest rate in decimal terms.

Assuming that r = 5%, 10%, 20%, 40%, and 60%For 5%: ln2/0.05 ≈ 13.86 yearsFor 10%: ln2/0.1 ≈ 6.93 yearsFor 20%: ln2/0.2 ≈ 3.47 yearsFor 40%: ln2/0.4 ≈ 1.73 yearsFor 60%: ln2/0.6 ≈ 1.16 yearsc)

The percentage error is given by:(Dexact − Dappx)/Dexact × 100%For 5%: (13.86 - 14)/13.86 x 100% ≈ 1.18%For 10%: (6.93 - 7)/6.93 x 100%

≈ 1.15%For 20%: (3.47 - 3.5)/3.47 x 100%

≈ -0.86%For 40%: (1.73 - 1.75)/1.73 x 100%

≈ -1.15%For 60%: (1.16 - 1.1667)/1.16 x 100%

≈ -0.60%Note that the percentage error is small for lower values of interest rates but increases as the interest rate increases.

Also, the percentage error is negative for 20%, 40%, and 60%, which means that the approximate doubling time is actually larger than the exact doubling time.

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A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.

Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."

Given; The average thickness and standard deviation of a sample of 50 eyeglass lens samples are 3.05 millimeters and.34 millimeters, respectively.

Such lenses should have a true average thickness of 3.20 mm. Utilizing a =.05

False hypothesis H0: Alternative hypothesis: mu1= mu2 HA: 'mu1' and 'ne'

Sample Size 50 Sample Mean 3.05 Sample Standard Deviation 0.34 Intermediate Calculations Standard Error of the Mean 0.0481 Degrees of Freedom 49 t Test Statistic -3.1196 Two-Tail Test Lower Critical Value -2.0096 Upper Critical Value 2.0096 p-Value 0.0030 Reject the null hypothesis

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A checking account is used for daily basis transaction and a debt and is usually associated with it.Saving accounts is just used for saving money.It has a time limit then you can withdraw your money.It is not on daily basis.

A bank account that allow the user to withdraw the money ,pay bill,transfer money to other person or make a purchase anything by writing checks.Check accounts typically don't earn interest.By checking accounts we can easily deposit and withdraw money for daily transaction.

Saving accounts are intended for storing your money which you don't plan to use daily.saving accounts earns interest at your money.saving account is designed for the accumulation of money in a safe place for future use.saving accounts offer easy access to your money in any emergency.so keeping your money in a saving account means that your money is safe for your future use.

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Answer:

So the probability of this happening is exactly 1 - it must be true

Step-by-step explanation:

If we calculate modulo(5) for each of the six numbers (the integer remainder after dividing by 5), we will get six values from 0 to 4.

By the pigeonhole principle, since there are 6 numbers and only 5 possible values, at least two must share the same value modulo 5. Pick two of those, say x and y, in which case x mod 5 = y mod 5, therefore (x - y) mod 5 = 0. In other words, their difference is a multiple of 5.

So the probability of this happening is exactly 1 - it must be true

- Span{v1, v2, v3, 0} is equal to the span of {v1, v2, v3}.
- Span{v1, v1-v2, v3} is equal to the span of {v1, v2, v3}.
- Span{v1, v2} is NOT equal to the span of {v1, v2, v3}.

Let's analyze each of the sets of vectors to determine if they are equal to the span of {v1, v2, v3}:
1. Span{v1, v2, v3, 0}:
This set is equal to the span of {v1, v2, v3} because adding the zero vector (0) does not affect the linear independence or the span of the other vectors.

A span is the set of all possible linear combinations of the vectors, and since the zero vector does not change the linear combinations, the span remains the same.
2. Span{v1, v1-v2, v3}:
This set is also equal to the span of {v1, v2, v3}.

The reason is that the vector (v1-v2) can be written as a linear combination of v1 and v2: (v1-v2) = 1*v1 + (-1)*v2.

Since all vectors in this set can be expressed as linear combinations of {v1, v2, v3}, the span remains the same.
3. Span{v1, v2}:
This set is NOT equal to the span of {v1, v2, v3} because it is missing the vector v3.

Since v1, v2, and v3 are linearly independent, removing one of them (v3 in this case) means that the set cannot span the same space as {v1, v2, v3}.

It has a lower dimension, and therefore, the span is different.

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The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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Answer:

5

Step-by-step explanation:

12g - 18 > 6g + 12

12g > 6g + 30

6g > 30

g = 5

Have a great day!

Please rate!

Answer:

D

Step-by-step explanation:

D. 12y5 – 3y + 27y2

Answer: there should be 80 blacks

Step-by-step explanation:

i promise

The five-number summary for the given data set is: Minimum: 19.5, Q1: 51.4, Q2 (Median): 54.5, Q3: 56.6, Maximum: 58.3

To calculate the five-number summary for the given data set, we need to find the minimum, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum.

1. Arrange the data in ascending order:

19.5, 23.2, 50.1, 52.7, 52.9, 54.5, 55.6, 55.6, 57.6, 58.3, 58.3

2. Obtain the minimum:

The minimum value is 19.5.

3. Obtain Q1 (the first quartile):

Q1 is the median of the lower half of the data set.

In this case, we have 11 data points, so the lower half consists of the first 5 data points:

19.5, 23.2, 50.1, 52.7, 52.9

To obtain Q1, we need to calculate the median of these data points:

Q1 = (50.1 + 52.7) / 2 = 51.4

4. Obtain Q2 (the median):

Q2 is the median of the entire data set.

In this case, we have 11 data points, so the median is the middle value:

Q2 = 54.5

5. Obtain Q3 (the third quartile):

Q3 is the median of the upper half of the data set.

In this case, we have 11 data points, so the upper half consists of the last 5 data points:

55.6, 55.6, 57.6, 58.3, 58.3

To obtain Q3, we need to calculate the median of these data points:

Q3 = (55.6 + 57.6) / 2 = 56.6

6. Obtain the maximum:

The maximum value is 58.3.

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Answer: 5/12 inches taller

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Answer:

x-intercept: (2,0)

y-intercept: (0, -4)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

Answer:

130

Step-by-step explanation:

This is a ratio problem. There are 6 minutes per 1 minute of television. We are looking to find how many minutes for television. Since we know he rode his bike for 780 minutes, and that 6 minutes of biking is equal to 1 minute, we can divide 780 by 6 to receive 130 minutes of television.

Converting 6 7/8 to decimal number is 6.875

From the question 6 7/8 is a mixed number, also known as mixed fraction.

It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

6 = whole number

7 = numerator

8 = denominator

In order to convert mixed number 6 7/8 to decimal form, we take the following steps:

Convert the proper fraction to decimal: Divide the numerator by the denominator

7 ÷ 8 = 0.875

Add this decimal number to the whole number of the mixed fraction

6 + 0.875 = 6.875

The mixed number 6 7/8 converted to decimal number is therefore: 6.875

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Answer:

Orange juice that is 3 dollars per 1 jug

Step-by-step explanation:

A unit rate is per 1 of an item

The only 1 that is per 1 of an item is

Orange juice that is 3 dollars per 1 jug

Answer:

❍ The cost of orange juice is $ 3 per 1 jug.

Step-by-step explanation:

So, The cost of orange juice is $ 3 per 1 jug is represent the unit rate.

Answer:

the pickup truck went 45 mph

the bus went 30mph

Step-by-step explanation:

uh i just guessed tbh & got it right

Answer:

\(3\frac{2}{3}\)

Step-by-step explanation:

Given the following question:

\(\frac{22}{6}\)

In order to convert a mixed number into an improper fraction we have to divide the numerator (in this case; 22) by the denominator (in this case; 6) to find your answer.

\(\frac{22}{6}\)
\(\frac{22}{6} \div2=\frac{11}{3}\)
\(\frac{11}{3}=11\div3=3\frac{2}{3}\)
\(=3\frac{2}{3}\)

Let three represent how many times 3 goes into 11, let 2 represent the remainder while of course keeping the denominator the same. Your answer is "3 2/3."

Hope this helps.

The box-and-whisker plots that shows the five-number summary of the data sets are shown in the image attached below.

Given the data set for Sherelle as, 72, 56, 81, 84, 75, 26, 39, 62, 65, 66, 85, 71, 74, 68, 73, 66, 83, 60, 58, 72, the five-number summary can be found as explained below.

To find the five-number summary, we need to find the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum of the given data set.

Step 1: Arrange the data set in ascending order:

26, 39, 56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72, 73, 74, 75, 81, 83, 84, 85

Step 2: Find the minimum and maximum values:

Minimum = 26

Maximum = 85

Step 3: Find the median (Q2):

The median is the middle value of the data set. Since there are 20 data points, the median is the average of the 10th and 11th values:

Median (Q2) = (68 + 71)/2 = 69.5

Step 4: Find the first quartile (Q1):

The first quartile (Q1) is the median of the lower half of the data set.

Q1 = Median of {26, 39, 56, 58, 60, 62, 65, 66, 66, 68} = (60 + 62)/2 = 61

Step 5: Find the third quartile (Q3):

The third quartile (Q3) is the median of the upper half of the data set. To find Q3, we need to find the median of the last 10 values:

Q3 = Median of {71, 72, 72, 73, 74, 75, 81, 83, 84, 85} = (74 + 75)/2 = 74.5

Therefore, the five-number summary of the given data set is:

Minimum: 26

First Quartile: 61

Median: 69.5

Third Quartile: 74.5

Maximum: 85

Using the same method, the five-number summary for Venita would be:

Minimum: 44

First Quartile: 53

Median: 63.5

Third Quartile: 71.5

Maximum: 79

The box-and-whisker plots for the data sets is attached below.

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Answer:

The answer is "Option B".

Step-by-step explanation:

The difference between most time and also the least spending time on Internet surfing is 3 hours. Since we do not have charts for tables etc., only 3 can be used we need. A range is defined as the difference between the largest and the smallest amounts. The range between both the largest as well as the smallest is unique. In this reply, it tells us that the gap between most time and the fewer hours invested surfing the web is 3 hours.

The answer is B

The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.

This answer is proven 100% correct.

Hope this helps!

Step-by-step explanation:

9.

we get the extreme values of y (a function) by finding the zeroes of the first derivative (that gives us the x-positions) and then using these x values in the original function.

a quadratic function has only one extreme value (1 less than the degree of the polynomial). but 2 zeroes (exactly the degree of the polynomial) - don't mix these two things up.

as the leading coefficient is positive (1), we know that the parabola is opening upwards, and the extreme value will be the vertex and therefore the minimum.

y = (x + 4)² + 6

y = x² + 8x + 16 + 6 = x² + 8x + 22

y' = 2x + 8

2x + 8 = 0

2x = -8

x = -4

(-4 + 4)² + 6 = 0² + 6 = 6

the smallest possible value of y = 6 (at x = -4).

10.

the intercept form of a parabola equation is

y = a(x - p)(x - q)

p and q are the x-intercept values.

in our case we see p = -3, q = 3.

also, we see the vertex being (0, 9), which we need to get "a".

y = a(x - -3)(x - 3) = a(x + 3)(x - 3)

using the vertex coordinates to get a :

9 = a(0 + 3)(0 - 3) = -9a

a = 9/-9 = -1

so, the quadratic equation is

y = -(x + 3)(x - 3) = -(x² - 9) = -x² + 9

11.

I assume the thinking here is : the flight curve of every falling object is a parabola.

the vertex of this parabola is (0, 36), as x represents the time in seconds, and y represents the height in ft.

the vertex form of a parabola is

y = a(x - h)² + k

with (h, k) being the vertex.

y = a(x - 0)² + 36 = ax² + 36

a must be negative, as the fall parabola opens downwards.

for typical fall situations on Earth a = -g/2 ≈ -16 (g being the gravity constant of 32.17405... ft/s²).

so, we have

y = -16x² + 36

for what x is y = 0 ?

0 = -16x² + 36

16x² = 36

x² = 36/16 = 9/4

x = 3/2 = 1.5

the coin hits the water after 1.5 seconds.

Answer:

7 R 95

for this case, how many times does 99 go into 788? 0, because you must convert 78 to the tens place.

78 - 0 = 78

Drop the 8 from the zeros place.

How many times does 99 go into 788? 7(693)

788 - 693 = 95

▬▬In The End▬▬

The answer is 7, because that is the number on top, the result of the division is called the remainder.

Answer:

-6x+-5y= -3/2

Step-by-step explanation:

Hope this helps

Using the Probability formula ,

the probability that first card is odd and second card is greater than 8 is 1/10.

Probability is defined as the total number of favourable outcomes divided by total numbers of outcomes.

We have total 10 cards between 1 to 10 there are 5 even and 5 odd numbers.

so, Total possible outcomes = 10

= {1,2,3,4,5,6,7,8,9,10}

two different cards are drawn out of 10 cards favourble outcomes ( odd card drawn on first draw) = 5

probability that first card is odd(P₁) = 5/10

numbers greater than 8 = {9,10 } = 2

probability that second card is greater than 8 (P₂)

= 2/10

Now , probability that first card is odd and second one is greater than 8 = P₁×P₂ = (5/10)×(2/10) = 1/10

Hence, total probability that first card is odd and second one is greater than 8 is 1/10 .

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