I need help with this math question. The question and answers are in the picture.

The median number of vehicles going through the bank drive-up line in a 15-minute period is 27 vehicles.

To find the median, we need to arrange the recorded number of vehicles in ascending order. The given data set is: 15, 20, 24, 25, 25, 25, 25, 27, 27, 27, 27, 28, 28, 29, 30, 31, 31, 31, 35. There are 19 values in the data set, so the middle value is the 10th value. In this case, the median is 27, as it is the value that separates the lower half of the data set from the upper half.

To calculate the median, we arrange the data set in ascending order: 15, 20, 24, 25, 25, 25, 25, 27, 27, 27, 27, 28, 28, 29, 30, 31, 31, 31, 35. The middle value is the 10th value, which is 27. Therefore, the median number of vehicles going through the bank drive-up line in a 15-minute period is 27 vehicles.

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Answer:

y=-21/17

Step-by-step explanation:

Answer:

y= - 21/17

Step-by-step explanation:

2(15+6y) +5y =9

2(6y+15)+5y=9

2(6y +15) +5y=9

12y+30 + 5y = 9

12y+30+5y =9

17y+30 =9

17y+30 =9

17y +30 -30 =9-30

17y=-21

y=-21/17

Answer:

thanks for the free points and God bless you

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Answer:

No because 42% of 78 is 32.76

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the answer is 0,1

Step-by-step explanation:

the diragram of 42 is like a rice of age 92 hope this helps

sine's rule

\(\tt \dfrac{A}{sin~a}=\dfrac{B}{sin~b}\)

1. 27/sin 61 = BC sin 54

BC = 25

2. ∠A=180 -(17+111)=52

27/sin 52 = AB sin 17

AB = 10

3. AC/sin 65 = 27/sin 61

AC = 28

4. ∠C = 180 -(61+30)=89

24/sin 89=AC/sin 61

AC=21

The expression for the height of a tree with a starting height of 6.7 feet and annual growth of 2.6 feet is h=6.7+2.7t.

It is described as a particular kind of relationship, and each value in the domain is associated with exactly one value in the range according to the function. They have a predetermined domain and range.

It is given that, the term used to describe a tree's height starts at 6.7 feet and grows by 2.6 feet per year.

Expressions are made up of variables and constants together with mathematical operators.

Let's say that h is a tree's height and that t is the number of years.

For the specified condition, the resulting expression,

h=6.7+2.7t

Thus, the expression for the height of a tree with a starting height of 6.7 feet and annual growth of 2.6 feet is h=6.7+2.7t.

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Answer:

-4x-3y+3z

Step-by-step explanation:

(-5x-3y)-(-x-3z)

-5x+x-3y+3z

-4x-3y+3z

The question is wrong because as the given angle is 90, the hypotenuse(11cm) should be greater than 16cm

Answer:

cant solve

Step-by-step explanation:

(sorry im not good at english) because there is no right triagle in which the length of the side of the right angle is greater than the length of the hypotenuse.

The simplified expression is: S = (1 - 6^8) / (-5)

The formula we can use to simplify the given expression is the formula for the sum of a finite geometric series. The formula is:
S = a(1 - r^n) / (1 - r)

where S is the sum of the series, a is the first term, r is the common ratio, and n is the number of terms.

In this case, the first term is 6^0 = 1, the common ratio is 6, and the number of terms is 8. Plugging these values into the formula, we get:

S = 1(1 - 6^8) / (1 - 6)
S = (1 - 6^8) / (-5)

We are not asked to evaluate the final answer, so we can leave it in this form. Therefore, the simplified expression is:

S = (1 - 6^8) / (-5)

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Answer2.58

Step-by-step explanation:

129 / 50 = 2.58

Answer:

120

Step-by-step explanation:

If Kara earns 3 times as many points completing the next level than she earned the previous level, to find how many points she earned at level 3, triple the amount of points earned in level 2, which is 9.

9 × 3 = 27

We can confirm this is the correct value by multiplt 27 by 3 to see if it equals 81, which it ineed does.

To find how many points she scored in all, find the sum by adding all of the points together.

3 + 9 + 27 + 81 = 120

She scores 120 points in all.

hope this helps!

Answer:

B

Step-by-step explanation:

The Associative Property means no matter where the parenthesis are placed, the numbers and the answer is still the same. For example: 5+(7+8) is the same as (5+7)+8 because it has the same answer and the result isn't changed from where the parenthesis are. :) Hope this helps!

~Happy Halloween!~

Answer: B

Step-by-step explanation:

According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped, and B no matter how the numbers are grouped it'll give the same answer.

Solution:

We know that:

\(Original \ price = \$11\)

\(Sale \ price = \$9.25\)

\(\frac{9.25}{11} + \frac{1.75}{11} =100\%\)

Simplify the equation to find the percent off:

\(\frac{9.25}{11} + \frac{1.75}{11} =100\%\)

\(84\% + \bold{16\%} = 100\% \space\ \space\ \space\ \ \ \ \ [Rounded]\)

This means that the original price has decreased about 16%.

Answer:

3x+2y=-7

5x-3y=20

8x-y=13

8x-13=0

y-13=0

8x=13

y=13

8x/8=13/8

y=13

x=13/8

y=13

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

The realization of the stochastic process implies that the values of the stochastic process are observed at particular points in time. It is denoted by x(t) and takes the form of a function of time t.

If the process is discrete, then the function is a sequence of values at discrete points in time.

A stochastic process is one that evolves over time and the outcomes are uncertain.

The given expression P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1) gives the probability of X5 being equal to 3 given that X4 is equal to 3, X3 is equal to 3, X2 is equal to 1, X1 is equal to 4, and X0 is equal to 1.

To understand the above expression, suppose we have a stochastic process with values X0, X1, X2, X3, X4, and X5.

The given expression provides the conditional probability of the value of X5 being equal to 3 given that X0, X1, X2, X3, and X4 take specific values.

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

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Solution :

Here, we are interested to study if the treatments have any effect on going tumor or not. Actually, this is model is an ANOVA one way layout with a treatment 'drug'.

In this kind of model or ANOVA model, we take the negative statement as our null hypothesis i.e.,

\($H_0:$\) There is no difference in the distribution of tumors states across the three  statements.

Therefore, alternative hypothesis would be :

\($H_a:$\) There is a difference in the distribution of tumor states across the three treatments.

So the correct option is (B).

Answer:

The value if x is 0.9875.

Step-by-step explanation:

First, we have to get rid of brackets by expanding :

\(0.5(2x + \frac{3}{4} ) - \frac{1}{3} (0.1 + x) = 1\)

\(0.5(2x) + 0.5( \frac{3}{4} ) - \frac{1}{3} (0.1) - \frac{1}{3} (x) = 1\)

\(x + \frac{3}{8} - \frac{1}{30} - \frac{1}{3} x = 1\)

Next you have to collect like terms :

\(x - \frac{1}{3} x + \frac{3}{8} - \frac{1}{30} = 1\)

\( \frac{2}{3} x + \frac{41}{120} = 1\)

Lastly, you can solve x :

\( \frac{2}{3} x = 1 - \frac{41}{120} \)

\( \frac{2}{3} x = \frac{79}{120} \)

\(x = \frac{79}{120} \div \frac{2}{3} \)

\(x = \frac{79}{80} \)

\( x = 0.9875\)

The absolute value inequality for the graph is given as |x| < 4

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

The absolute value is given by:

|x - average| = distance to midpoint

From the graph:

x > -4 and x < 4

The midpoint is 0, hence Distance between -4 or 4 to midpoint (0) is 4

Average = (-4 + 4)/2 = 0

Hence:

|x - 0| = 4

|x| < 4

The absolute value inequality for the graph is given as |x| < 4

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Answer: 75, 40, 65

Step-by-step explanation:

Let the angles measure 15x, 8x, and 13x.

Since the sum of the angles of a triangle is 180 degrees,

15x+8x+13x=180, meaning that x=5.

So, the angles are 15(5)=75 degrees, 8(5)=40 degrees, and 13(5)=65 degrees.

Answer:

check work below

Step-by-step explanation:

A( 3 ,6)  and  B(1/2,17/2)

Answer:

24 blocks

Step-by-step explanation:

2(5) + 2(7) = 10 + 14

7.702 is the proper decision.

What exactly is a p-value?

The dot plot represents the number of pets owned by the students. The options provided will be explained in the following paragraph.

A dot plot is a simple graphical representation of data that uses dots to represent individual values. Each dot corresponds to a student's response indicating the number of pets they own. The dot plot for the given data would look as follows:

0: XXX

1: XXXX

2: XXX

4: XX

8: X

In this dot plot, each "X" represents one student's response. The numbers on the left side of the plot represent the number of pets, and the dots are placed above the corresponding number. The dot plot clearly shows the distribution of pet ownership among the students.

Now, let's examine the answer choices to find the one that matches the dot plot we drew. Since the dot plot shows the frequencies of different responses, we need to look for an answer choice that represents the same frequencies.

Among the answer choices, the option that matches the dot plot is: "2 students own 4 pets, and 4 students own 1 pet." This option correctly reflects the data presented in the dot plot, where we can see 2 dots above the number 4 and 4 dots above the number 1, indicating the corresponding frequencies.

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The values of x for which the series converges is (-4,4)

The sum of the series for these values of x is x/(4-x)

The question stated can be solved by using concept of Geometric series converges .

By the geometric series theorem , we can say ,

if |r| < 1 , series converges

if |r| >= 1 , series diverges

∑\((x/4)^{n}\)  n ranges from (1,∞)

r=x/4

By geometric series converge theorem,

|r| < 1

|x/4| < 1

|x|<4

-4 < x < 4

Therefore , the mentioned series converges when x lies between (-4,4)

Now to find sum we have a formula ,

(r^(lower limit))/1-r

Now substituting the values that is r=x/4 and lower limit=1 , we have

\(\frac{x/4 }{1-x/4} }\)

After solving this , we have the required sum as x/(4-x)

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Yes, given explanation is correct.if the calculated test statistic is less than -1.645 then the null hypothesis can be rejected.

For test the claim that the proportion of people who smoke is less than 22.5%.

A one-tailed test of hypothesis can be used. Specifically, a one-sample z-test for a proportion can be used where:

Null hypothesis: p ≥ 0.225 (the proportion of people who smoke is equal to or greater than 22.5%)

Alternative hypothesis: p < 0.225 (the proportion of people who smoke is less than 22.5%)

The test statistic for the one-sample z-test for a proportion is calculated as:

z = (p - P0) / √[(P0 × (1 - P0)) / n]

where p is the sample proportion, P0 = the hypothesized proportion under the null hypothesis and n = The sample size.

If the calculated test statistic falls in the rejection region which is determined by the chosen significance level (e.g., alpha = 0.05) then the null hypothesis can be rejected and it can be concluded that there is evidence to support the claim that the proportion of people who smoke is less than 22.5%.

For a one-tailed test with alpha = 0.05, the critical value is -1.645.

Hence, if the calculated test statistic is less than -1.645 then the null hypothesis can be rejected.

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The expression 16t^2 represents distance an object falls in feet after t seconds, assuming no other forces are acting on it.

The height from which object is dropped can be represented by another variable or constant. The expression 16t^2 represents the distance an object falls in feet after t seconds, assuming free fall under the influence of gravity. The value 16 comes from the acceleration due to gravity, which is approximately 32 feet per second squared. Since the object is falling, the equation represents a downward motion.

In this case, the object is dropped from a height of 2716 feet. To find the time it takes for the object to reach the ground, we can set the expression equal to the height and solve for t: 16t^2 = 2716. Dividing both sides of the equation by 16, we get: t^2 = 169.75, Taking the square root of both sides, we find: t ≈ 13.04

Therefore, the object takes approximately 13.04 seconds to fall from a height of 2716 feet.

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Answer:

16 sqrt(3) x -> A. 16√3

Step-by-step explanation:

Simplify the following:

sqrt(32) sqrt(24) x

Hint: | Simplify radicals.

sqrt(32) = sqrt(2^5) = 2^2 sqrt(2):

2^2 sqrt(2) sqrt(24) x

Hint: | Evaluate 2^2.

2^2 = 4:

4 sqrt(2) sqrt(24) x

Hint: | Simplify radicals.

sqrt(24) = sqrt(2^3×3) = 2 sqrt(2) sqrt(3):

4 sqrt(2)×2 sqrt(2) sqrt(3) x

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(3).

sqrt(2) sqrt(3) = sqrt(2×3):

4 sqrt(2)×2 sqrt(2×3) x

Hint: | Multiply 2 and 3 together.

2×3 = 6:

4 sqrt(2)×2 sqrt(6) x

Hint: | Multiply 4 and 2 together.

4×2 = 8:

8 sqrt(2) sqrt(6) x

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(6).

sqrt(2) sqrt(6) = sqrt(2×6):

8 sqrt(2×6) x

Hint: | Multiply 2 and 6 together.

2×6 = 12:

8 sqrt(12) x

Hint: | Simplify radicals.

sqrt(12) = sqrt(2^2×3) = 2 sqrt(3):

8×2 sqrt(3) x

Hint: | Multiply 8 and 2 together.

8×2 = 16:

Answer: 16 sqrt(3) x

Answer:

16√3

Step-by-step explanation:

I got it on test

Answer:

The hand moved \(\bf \frac{3}{4}\) of a complete turn.

Step-by-step explanation:

The hand moved from 3 to 12, that is, it moved:

12 - 3 = 9 hours

In a clock, 12 hours represent a complete turn.

∴ Using the unitary method:

12 hours    ⇒     1 turn

1 hour        ⇒     \(\frac{1}{12}\) turns

9 hours     ⇒     \(\frac{1}{12}\)  × 9 = \(\frac{9}{12}\)

                                     = \(\bf \frac{3}{4}\) turns    (simplified)

∴ The hand moved \(\bf \frac{3}{4}\) of a complete turn.

The answer is  \(\boxed{\frac{3}{4}}\).

To find the fraction of a complete turn it moved in this case, take the ratio between hours covered between 3 and 12, and the hours covered in a complete turn.

Answer:

13.2 units

Step-by-step explanation:

12 is to 7.2 as   (12+10) is to x

12/7.2   =  (12+10)/x

x = 22 * 7.2/12 = 13.2 units