What is the range of the data set below?

56, 42, 48, 32, 17, 26, 92

Answer:

the z score of 105 is 1.03

Step-by-step explanation:

Given that

the mean is 102

And, the standard deviation is 2.9

We need to find the z score of 105

As we know that

Z score = (Observed value - mean) ÷ standard deviation

= (105 - 102) ÷ 2.9

= 1.03

Hence, the z score of 105 is 1.03

The same would be considered and relevant

If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions. Use the sign of each side of your inequality to decide which of these cases holds. If the number on the other side of the inequality sign is positive, proceed to step 3.

Answer:

Domain: -6,-5,0,0,9

Range:-8,-7,0,1,8

Step-by-step explanation:

9514 1404 393

Answer:

  y = x + 2

Step-by-step explanation:

We observe that the line crosses the y-axis at y=2, so the y-intercept is 2.

The line has a rise of 1 grid square for each run of 1 grid square to the right. The slope is the ratio of rise to run:

  m = rise/run = 1/1 = 1

The slope and intercept can be put into the slope-intercept form:

  y = mx + b . . . . . line with slope m and y-intercept b

  y = 1x +2 . . . . . .  line with slope 1 and y-intercept 2

  y = x +2 . . . . . . . simplified

Answer:

d) The limit does not exist

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Limit Property [Addition/Subtraction]:                                                                   [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

Step 1: Define

Identify

[tex]\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}[/tex]

Step 2: Find Right-Side Limit

Step 3: Find Left-Side Limit

∴ Since  [tex]\displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)[/tex]  , then  [tex]\displaystyle \lim_{x \to 5} f(x) = DNE[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Limits

9514 1404 393

Answer:

  a = 4

  b = 2√3

Step-by-step explanation:

The side lengths of a 30°-60°-90° right triangle are in the ratio 1 : √3 : 2.

The shortest side in the given triangle is 2, so we can multiply by 2 to see the ratios are ...

  2 : 2√3 : 4 = 2 : b : a

  b = 2√3

  a = 4

Answer:

∠MNO = 75°

Step-by-step explanation:

∠mno = 1/2 ( arc MLP - arc MOP )

arc MLP = 241 and arc MOP = 91

so ∠MNO = 1/2 ( 241 - 91 )

241 - 91 = 150

150/2 = 75

Hence, ∠MNO = 75°

Answer:

A

Step-by-step explanation:

It’s a

Answer:

c

Step-by-step explanation

the higher the negative number, the less it is worth. therefore -26 is less than -5, which is less than 17

Answer:

[tex]\rm\implies y = 4x + 3 [/tex]

Step-by-step explanation:

Given :-

And we need to find the equation of the line. On looking at the graph we see that , it cuts y axis at (0,3) .So the y Intercept of the equation is 3 .

Slope Intercept Form :-

[tex]\rm\implies y = mx + c[/tex]

Substituting the respective values :-

[tex]\rm\implies y = 4*x + 3 \\\\\rm\implies y = 4x + 3 [/tex]

Hence the equation of line is y = 4x + 3

Answer:

5 years : 1781.52

20 years: 2984.68

Answer:

And the reasoning behind this calculation is because they're alternate angles on parallel lines. So, therefore, we can say, using the information that we've been given, we can say that the measure of angle  is equal to 127 degrees

Answer:

c

Step-by-step explanation:

i did it

Answer:

The correct answer is C.

Step-by-step explanation:

I did the exam.

Answer:

the answer is B so it's 12

Answer:

Combine like terms:

(5x + 3x) (2y + 4y)

8x + 6y is your algebra expression.

Answer:

I think around 43.3%

Step-by-step explanation:

215-150

150

65

150          x 100

=43.3333333333333

Answer:

I think around 43.3%

Step-by-step explanation:

Answer:

The radius is equal to 6.5 feet.

Step-by-step explanation:

To solve this we need to know that circumference equals 2πr (where "r" is the radius). Therefore, we can make the following equation...

2πr = 40.82

πr = 20.41

3.14r = 20.41

r = 6.5

Now we know that the radius is equal to 6.5 feet.

Answer:

The correct answer is 48

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

the answer is 5

Step-by-step explanation:

Answer:

0.1322 = 13.22% probability that the soldier is mal-adjusted.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test

Event B: Soldier is mal-adjusted.

Probability of a positive test:

55% of 5%(mal-adjusted).

19% of 100 - 5 = 95%(well adjusted). So

[tex]P(A) = 0.55*0.05 + 0.19*0.95 = 0.208[/tex]

Probability of a positive test and soldier being mal-adjusted.

55% of 5%. So

[tex]P(A \cap B) = 0.55*0.05 = 0.0275[/tex]

What is the probability that the soldier is mal-adjusted?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0275}{0.208} = 0.1322[/tex]

0.1322 = 13.22% probability that the soldier is mal-adjusted.

Answer:

-30x+147= -171-24x

+24x                +24x

-6x+147= -171

     -147   -147

       -6x= -318

           x=53

Hope this helps!

Answer:

[tex]The \ measure\ of\ the \ third \ angle \ is \ 61 \ degrees[/tex]

Answer:

The surface area is [tex]325.4m^2[/tex]

The lateral surface area is: [tex]292.4m^2[/tex]

Step-by-step explanation:

Given

[tex]L = 3m[/tex] -- Length

[tex]H =17.2m[/tex] --- Height

[tex]W = 5.5m[/tex] --- Width

See attachment for prism

Solving (a): The surface area

This is calculated as:

[tex]S.A = 2 * (LW + WH + LH)[/tex]

This gives:

[tex]S.A = 2 * (3*17.2 + 17.2 * 5.5 + 3 * 5.5)[/tex]

[tex]S.A = 2 * (51.6 + 94.6 + 16.5)[/tex]

[tex]S.A = 2 * 162.7[/tex]

[tex]S.A = 325.4m^2[/tex]

Solving (b): The lateral surface area

This is calculated as:

[tex]L = 2 * (L + W) * H[/tex]

So, we have:

[tex]L = 2 * (3 +5.5) * 17.2[/tex]

[tex]L = 2 * 8.5 * 17.2[/tex]

[tex]L = 292.4m^2[/tex]

Answer:

(9-x)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Arc length is given by the formula:

[tex]\displaystyle s=2\pi r\frac{\theta}{360^\circ}[/tex]

Where r is the radius and θ is the central angle, in degrees.

The windshield wiper has a radius of 20 inches and a central angle of 150°. Hence:

[tex]\displaystyle s=2\pi (20)\left(\frac{150}{360}\right)[/tex]

Use a calculator:

[tex]\displaystyle s=\frac{50}{3}\pi \approx52.36\text{ inches}[/tex]

Our answer is A.

Answer:

the first one

Step-by-step explanation:

The problem says that the plot must have a maximum of 44, which means the most right dot must be on the 44 mark. All the graphs fit this requirement (the dashes are in increments of 2) The problem says that it must have an upper quartile of 39, which means the line closest to the maximum dot must be on the 39 mark. Graphs 2 and 3 do not meet this requirement, so they are eliminated. The last requirement is the median of 25. The median is represented by the middle line in the middle of the boxes. Graph 4 does not fit this requirement, so it is eliminated. Thus, only the first graph follows all 3 requirements.

Answer:

36 meters

Step-by-step explanation:

A square has equal side lengths, and a total of 4 sides, so

9 times 4 is equal to 36.

Remember your units!

Answer:

85 i thinkkkk

Step-by-step explanation:

Answer:

B. Recursive

Step-by-step explanation:

I calculated it logically

Answer:

option B

Step-by-step explanation:

Have a great day!

Answer: C

Step-by-step explanation:

I did the test and it was right