Yesterday, Marissa walked 1 1/2 miles from school to the ice
cream shop and 2/3 of a mile from
the ice cream shop to her house. How many miles did Marissa walk in all?


Ill give brainliest

The standard deviation of the data will be;

⇒ 4.13

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

The data set is,

⇒ 23, 19, 28, 30, 22

Now,

Since, The data set is,

⇒ 23, 19, 28, 30, 22

Hence, The mean = 23 + 19 + 28 + 30 + 22 / 5

                            = 122/5

                            = 24.4

So, The standard deviation is;

√ (23 - 24.4)² + (19 - 24.4)²+(28 - 24.4)² + (30 - 24.4)² + (22 - 24.4)²/ (5-1)

⇒ √ 1.96 + 29.16 + 12.96 + 31.36 + 5.76 / 4

⇒ √ 81.2/4

⇒ √20.3

⇒ 4.13

Thus, The standard deviation of the data will be;

⇒ 4.13

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To calculate the standard deviation of the data set, we can use the formula:

$$ \sigma = \sqrt{\frac{1}{n}\sum_{i=1}^{n} (x_i - \mu)^2} $$

Where:

$x_i$ is each data point

$\mu$ is the mean of the data set

$n$ is the number of data points

For the data set given, the mean is $\mu = 24.4$

Plugging in the values into the formula, we get:

$$ \sigma = \sqrt{\frac{1}{5}\sum_{i=1}^{5} (x_i - 24.4)^2} = \sqrt{\frac{1}{5}( (23-24.4)^2 + (19-24.4)^2 + (28-24.4)^2 + (30-24.4)^2 + (22-24.4)^2 )} $$

After evaluating the expression, we get:

$$ \sigma = \sqrt{\frac{1}{5}(1.96 + 5.76 + 3.36 + 5.76 + 0.36)} = \sqrt{\frac{1}{5}(18.2)} = \sqrt{3.64} = 1.91 $$

So the standard deviation of the data set is 1.91.

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Answer:

12/4 = L/8

Step-by-step explanation:

.......................

Answer:

7,854 cm

Step-by-step explanation:

The area of a circle is given by πr², and the radius is the diameter/2:

100/2=50

π•50²=7,853.98≈7,854

Answer:

Step-by-step explanation:

Answer:

DEF = 110

Step-by-step explanation:

Supplementary angles add to 180

3x+5  +2x = 180

Combine like terms

5x +5 = 180

Subtract 5 from each side

5x = 175

Divide each side by 5

5x/5 = 175/5

x =35

DEF = 3x+5

     = 3*35 +5

    = 105+5

   = 110

Answer:

a) 6.09 %

b) 9.36 %

Step-by-step explanation:

a) Given  

% of questions that are truthful = 87% = -.87

% of right questions that are falsely indicated as lies = 7%

Percentage of the answers that the polygraph wrongly indicate as lies = 0.87 * 0.07 = 0.0609 = 0.1 = 10%

b) % of answers that are lies = 13% = 0.13

% of answers that are correctly caught as lies = 72%

percentage of the answers that the polygraph will correctly indicate as lies

= 0.13 * 0.72 = 0.0936 = 0.1 = 10 %

Answer:

option b is correct option

Step-by-step explanation:

plz mark me brainleast

Answer:

[tex]x^4 - 1 = (x- 1)(x + 1)(x^2 + 1)[/tex]

[tex]2x^2 - 4x - 240 = 2(x + 10) (x - 12)[/tex]

Step-by-step explanation:

Given

[tex]1.\ x^4 - 1[/tex]

[tex]2.\ 2x^2 - 4x - 240[/tex]

Required

Factor

[tex]1.\ x^4 - 1[/tex]

Express as difference of two squares

[tex]x^4 - 1 = (x^2 - 1)(x^2 + 1)[/tex]

Express [tex]x^2 - 1[/tex] as difference of two squares

[tex]x^4 - 1 = (x- 1)(x + 1)(x^2 + 1)[/tex]

[tex]2.\ 2x^2 - 4x - 240[/tex]

Expand

[tex]2x^2 - 4x - 240 = 2x^2 -24x + 20x - 240[/tex]

Factorize

[tex]2x^2 - 4x - 240 = 2x(x -12) + 20(x - 12)[/tex]

Factor out x - 12

[tex]2x^2 - 4x - 240 = (2x + 20) (x - 12)[/tex]

Factor out 2

[tex]2x^2 - 4x - 240 = 2(x + 10) (x - 12)[/tex]

Answer:

μ > 21.21

Test statistic = 1.217

Kindly check explanation for more details

Step-by-step explanation:

The null hypothesis, H0 : μ = 21.21

Alternative hypothesis, H1 : μ > 21.21

The test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(21.212 - 21.21) ÷ (0.01 / √2)

= 1.217

The critical value :

From the t distribution :, one tailed = 2.434

Decision region :

Reject H0 if test statistic > critical value

1.217 < 2.434 ; We fail to reject the null ` ; and conclude that there is not enough evidence to support the claim.

Answer:

C

Step-by-step explanation:

We know that function h represents an object's height in feet after x seconds.

In that case, option A) h(15) = 100 means that after 15 seconds, the object's height is 100 feet.

Option B) h(100) = 15 means that after 100 seconds, the object's height is 15 meters.

Therefore, neither A nor B are correct.

Option C) h(15) - h(0) = 100 means that between the zeroth and 15th second, their difference is 100 feet.

In other words, the object's height increased by 100 feet over the first 15-second period.

Option C is correct.

For Option D), it gives us the average rate of change. (h(15) - h(0)) / (15) = 100 means that for the first fifteen seconds, the height of the object increased at an average rate of 100 feet per second.

Answer:

Answer is as follows

Step-by-step explanation:

The probability distribution is a statistical function that describes all the possible values and likelihood’s that a random variable can take within a given range.

Answer:

Region I is n(A)

There's 21 elements there.

Region II is the intersection or the region shared by A and B. Denoted by (AnB)

From the data given again.

There are 13 elements in Region II

Region III

Thats part B of the venn diagram

Denoted by n(B)

There's 24 elements in this region.

Region IV

This is the intersection of A and C or the part of the diagram shared by A and C

Denoted by (AnC)

There's 11 elements in this section.

Region VI

This is region shared by B and C

or (BnC)

There's 12 elements in this section.

Region VII

Thats the C part of the Venn diagram

Denoted as n(C)

There's 21 elements here

Region VIII

This part is Empty.

There's no Elements outside the Diagram

There's 0 elements here.

Hope this helps.

Have a great day!

Answer:

[tex]30m + 15 = 3(10m + 5)\\[/tex]

[tex]30m + 15 = 5(6m+3)[/tex]

Step-by-step explanation:

Given

[tex]30m + 15[/tex]

Required

Equivalent expressions

We have:

[tex]30m + 15[/tex]

Factor out 3

[tex]30m + 15 = 3(10m + 5)[/tex]

Also:

[tex]30m + 15[/tex]

Factor out 3

[tex]30m + 15 = 5(6m+3)[/tex]

Answer:

Hello! answer: 10

Step-by-step explanation:

you do a^2+b^2=c^2 meaning

8 × 8 + 6 × 6 will equal a number which then we have to find out the square root of that number meaning what number you can multiply by itself to get that number so...

8 × 8 = 64

6 × 6 = 36

64 + 36 = 100

√100 = 10

10 × 10 = 100 therefore the missing length is 10 hope that helps!

Answer:

what are c and d?

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

john earns more than don

Answer:

a) s = 0.4

b) Z = 2.5

c) 99th percentile.

d) The larger sample size would lead to a smaller margin of error, which would lead to a higher z-score and a increased percentile.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume the average height for American women is 64 inches with a standard deviation of 2 inches

This means that [tex]\mu = 64, \sigma = 2[/tex]

A) Calculate the standard error for the distribution of means.

Sample of 25 means that [tex]n = 25[/tex], so [tex]s = \frac{2}{\sqrt{25}} = 0.4[/tex].

B) Calculate the z statistic for the sorority group.

Sample mean of 65 means that [tex]X = 65[/tex].

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{0.4}[/tex]

[tex]Z = \frac{65 - 64}{0.4}[/tex]

[tex]Z = 2.5[/tex]

C) What is the approximate percentile for this sample? Enter as a whole number.

Z = 2.5 has a p-value of 0.9938, so 0.99*100 = 99th percentile.

D) If the sorority actually had 36 members (still with an average of 65 inches), would you expect the percentile value to increase or decrease? why?

The larger sample size would lead to a smaller margin of error, which would lead to a higher z-score and a increased percentile.

Answer:

False, the slope is POSITIVE 3.

The value of x will be 2.067.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ eˣ = 7.9

Now,

Since, The expression is,

⇒ eˣ = 7.9

Take natural log both side, we get;

⇒ ln eˣ = ln 7.9

⇒ x = ln 79 - ln 10

⇒ x = 4.369 - 2.302

⇒ x = 2.067

Thus, The value of x = 2.067

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Answer:

the possible values of c = -23,  -10,  -5,  or -2

Step-by-step explanation:

The possible values of c that will allow the polynomial to be factored must be a factor of "-24"

1 x (-24) = -24    (for this case c = -23)

2 x (-12) = -24    (for this case c = -10)

3 x (-8) = -24     (for this case c = -5)

4 x (-6) = -24     (for this case c = -2)

Therefore, the possible values of c = -23,  -10,  -5,  or -2

Answer: 178 minutes

21.02 x 100 = 2102

2102 - 500 = 1602

1602 / 9 = 178

Answer:The value of log base 3 log base 2 log base √3 81 is -a)1 b) 2 c)3 d) 0

Answer:

4

Step-by-step explanation:

Define [tex]\log_a b=c\implies a^c=b[/tex].

Let

[tex]\log_3 81=x[/tex].

Using our definition [tex]\log_a b=c\implies a^c=b[/tex], we have:

[tex]3^x=81[/tex]

Solving for [tex]x[/tex]:

[tex]x=\boxed{4}\text{ from simply knowing that }3^4=81[/tex]

Or

Algebraically solve step-by-step by taking the log of both sides:

[tex]\log 3^x=\log 81[/tex]

Using log property [tex]\log a^b=b\log a[/tex], rewrite:

[tex]x\log 3=\log81[/tex]

Divide both sides by log(3):

[tex]x=\frac{\log 81}{\log 3}=\boxed{4}[/tex]

Answer: 40 coins. Doesn't your profile say college?

Answer:

Option C is the correct answer

[tex] {\frac{3 }{12}} [/tex]

Step-by-step explanation:

[tex]\huge \sqrt{\frac{3}{16}} . \sqrt{\frac{3}{9}} [/tex]

[tex] \huge =\sqrt{\frac{3\times 3}{16\times 9}} [/tex]

[tex]\huge =\sqrt{\frac{9}{144}} [/tex]

[tex] \huge =\sqrt{\frac{3^2 }{12^2 }} [/tex]

[tex]\huge ={\frac{3 }{12}} [/tex]

9514 1404 393

Answer:

  smallest: 8x -3 = 4; 1y +9 = 2. total = -49/8

  largest: 1x -9 = 8; 2y +3 = 7. total = 19

Step-by-step explanation:

If we use variables to represent the box contents, we can write ...

Then the values of x and y are ...

  x = (c +b)/a

  y = (f -e)/d

For positive integer values of the variables, x will always be positive, and y may or may not be negative.

For the sum to be the smallest, we must have x be as small as possible and the ratio (f-e)/d be as negative as possible.

x will be small for large 'a' and for (c+b) small. For y to be as negative as possible, we want 'd' and 'f' small and 'e' large. Best results are obtained for

For these coefficients, the sum is -6 1/8 = -49/8.

(note that the values of 'b' and 'c' can be swapped with no net effect)

For the sum to be the largest, we must have x as large as possible: (b+c) large and 'a' small. At the same time we must have y be positive and as large as possible: (f-e) positive and large, 'd' small. Best results are obtained for

For these coefficients, the sum is 19. Again, 'b' and 'c' can be swapped with no effect.

_____

Additional comment

These extreme values are verified by examination of the 60,480 possible permutations of the coefficients.

Answer:

Smallest: 8x-3=4; 1y+9=2. total= -49/8

Largest: 1x-9=8; 2y+3= 7. total= 19

Step-by-step explanation:

Given:

The function is:

[tex]f(x)=x^2[/tex]

This function is stretched by a factor of 9 to g(x).

To find:

The equation of function function g(x).

Solution:

The vertical stretch is defined as:

[tex]g(x)=kf(x)[/tex]           ...(i)

If [tex]0<k<1[/tex], then the function f(x) compressed vertically by factor k.

If [tex]k>1[/tex], then the function f(x) stretched vertically by factor k.

The given function f(x) is stretched by a factor of 9 to g(x).  So the value of k is 9.

Substituting [tex]k=9[/tex] in (i), we get

[tex]g(x)=9f(x)[/tex]

[tex]g(x)=9x^2[/tex]            [tex][\because f(x)=x^2][/tex]

Therefore, the required function is [tex]g(x)=9x^2[/tex].

Answer:

d.18

Step-by-step explanation:

as x goes up by 1, y goes up 18

Answer:

option d is correct

Step-by-step explanation:

taking 28 degree as reference angle . Then

sin 28 = opposite/hypotenuse

sin 28 = 8/17

The value of sin 28° is 8/17.

In the right triangle of the figure

Let, x be the opposite side angle of 28°

and y be the hypotenuse

[tex]$\sin \left(28^{\circ}\right)=\frac{x}{y}$[/tex]

We have,

x = 8 units  and

y = 17 units

Substitute the values of x and y, we get

[tex]$\sin \left(28^{\circ}\right)=\frac{8}{17}$[/tex]

Therefore, the correct answer is option D. 8/17.

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Answer:

90

Step-by-step explanation:

Answer:

c = 355 ; a = 170

Step-by-step explanation:

c = children

a = adults

c + a = 525

19c + 40a = 13545

19c + 19a = 9975

19c + 40a = 13545

-21a = - 3570

a = 170

c + 170 = 525

c = 355

Answer:

think it's the last one

Step-by-step explanation:

sorry if i'm wrong