The frequency distribution below represents frequencies of actual low temperatures recorded during the course of a​ 31-day month. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately​ normal?

Answer:

Third table

Step-by-step explanation:

For the relationship to be proportional

y/x = constant

First table y/x = 8/4 = 2    then 7/11 doesn't =2  so it is not

Second table y/x =52/5 = 5    then 49/7 doesn't =5  so it is not

Third table y/x = 3/6=1/2    then 5/10 = 1/2   then 7/14 = 1/2  it is proportional

Last table y/x = 6/3 = 2    then 11/8 doesn't =2  so it is not

Answer: 0.973

Step-by-step explanation:

The probability mass function of geometric distribution is

[tex]f(x)=(1-p)^{x-1}p,\ \ \ x=1,2,3,...[/tex], p= probability of success on a trial.

As per given, we have

p=0.7

The probability that we'll have at most 3 orders [tex]P(X\leq3)=P(x=1)+P(x=2)+P(x=3)[/tex]

[tex]=(1-0.7)^{1-1}(0.7)+(1-0.7)^{2-1}(0.7)+(1-0.7)^{3-1}(0.7)\\\\=0.7+0.21+0.063\\\\=0.973[/tex]

hence, the required probability = 0.973

The probability that we'll have at most 3 orders will be "0.973".

According to the question,

→ [tex]x \sim Geometric (p)[/tex]

here,

p = 0.7

then,

→ [tex]P(X=x) = (1-p)^{x-1}\times p[/tex]

By putting the given values, we get

                   [tex]= (1-0.7)^{x-1}\times 0.7[/tex]

hence,

The probability that we'll have at most 3 orders will be:

→ [tex]P(X \leq 3)=P(X=1)+P(X=2)+P(X=3)[/tex]

                   [tex]=0.7+0.21+0.063[/tex]

                   [tex]=0.973[/tex]

Thus the above response is correct.

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Answer:

Step-by-step explanation:

The formula to find the angle between 2 vectors is

[tex]cos\theta=\frac{u*v}{|u||v|}[/tex] which is the dot product of u*v over the (magnitude of u times the magnitude of v). We also know that θ = [tex]\frac{\sqrt{2} }{2}[/tex]. Filling in that formula requires us to find the dot product of u and v, which is

u·v = (2×(-6)) + (a×8) so

u·v = -12 + 8a. Then we need the magnitudes of both u and v:

[tex]|u|=\sqrt{2^2+a^2}=\sqrt{4+a^2}[/tex] and

[tex]|v|=\sqrt{(-6)^2+8^2}=\sqrt{100}=10[/tex]

Putting all of together looks like this:

[tex]\frac{\sqrt{2} }{2}=\frac{-12+8a}{10\sqrt{4+a^2} }[/tex] . Cross multiply to get

[tex]10\sqrt{2}(\sqrt{4+a^2})=2(-12+8a)[/tex] which is tricky to simplify. You really need to know the rules for multiplying radicals to do this correctly. The simplification is

[tex]10\sqrt{8+2a^2}=-24+16a[/tex] and we need to solve for a. Begin by squaring both sides to get rid of the square root to get:

100(8 + 2a²) = 256a² - 768a +576 and simplify some more by distributing through the parenthesis to get

800 + 200a² = 256a² -768a + 576. Combine like terms to come up with

0 = 56a² - 768a - 224 and we need to factor that. Assuming since you're this far in math (pre-calc or maybe late algebra 2) you know how to factor, when you do, you get values for a of - .285714... and 14.

Therefore, the value for a is 14. I checked it...it works

Answer:

a = 14, U = (2, 14)

Step-by-step explanation:

the other answer is correct.

just to add the solution path for the quadratic equation

0 = 56a² - 768a - 224

in general, a quadratic equation usually expressed in x

0 = ax² + bx + c

has its solution as

x = (-b ± sqrt(b² - 4ac))/(2a)

for us here this looks like this then

a = (768 ± sqrt(768² - 4×56×-224))/(2×56) =

= (768 ± sqrt(589824 + 4×56×224))/112 =

= (768 ± sqrt(589824 + 50176))/112 =

= (768 ± sqrt(640000))/112 = (768 ± 800)/112

a1 = (768 + 800)/112 = 1568/112 = 14

a2 = (768 - 800)/112 = -32/112 = -0.29

and the negative solution would be for a vector solution in the wrong direction (down instead of up). as V is pointing up left, and the angle is only 45 degrees (pi/4), also U has to point up.

so, 14 is the solution for U.

Answer:

The second graph

Step-by-step explanation:

This is because as you can see the equatin they're using is point slope form (y-y1=m(x-x1)) and the m stands for slope. the slope in the equation you gave us is 2 or a rise of 2 and a run of 1 (2/1) and the frist graph has a slope of 3/1

Answer:

I just did this question!! The correct answer is B. -3 must be a root of the polynomial 2x^2+9x+9

Step-by-step explanation:

Answer:

4.58

Step-by-step explanation:

Answer:

the value of a rare coin in the beginning of the first year,

t = 0, so f(0) = 4• 2^0 = 4•1 = 4 (y-intercept)

Answer:

the y-intercept is at t=0, so in the model no time has past yet. it's the initial value of the coin

Answer:what’s the answer?

Step-by-step explanation:

Answer:

Ishaan is correct because snakes with 17 1/4 inches occured most often  in the dot plot. Raj is incorrect because 17 3/4 didnt occur the most often but it was the highest length of the snake. Ishaan is correct.

Step-by-step explanation:

Answer:

The answer is "Option D"

Step-by-step explanation:

In this question the "choice D" is wrong because [tex]H_a: \mu_d \neq 0[/tex].

The population of interest: Male RCCC students.

Sample size: 31.

The sample mean: 69.68 inches.

Median: 69 inches.

Mode: 70 inches.

Range: 11 inches.

Standard deviation: 3.32 (rounded to 2 decimal places).

Variance: 11.02 (rounded to 2 decimal places).

We have,

Mean:

To find the mean, we sum up all the heights and divide by the total number of data points (31 in this case):

Mean = (70 + 70 + 70 + ... + 75) / 31

Mean ≈ 69.68 inches

Median:

The median represents the middle value in the dataset when arranged in ascending order. Since the dataset has an odd number of values (31), the median will be the value in the middle position when ordered:

Median = 69 inches

Mode:

The mode represents the value(s) that occur most frequently in the dataset. In this case, the mode is the height that appears most often:

Mode = 70 inches

Range:

The range is calculated by subtracting the minimum value from the maximum value in the dataset:

Range = Maximum height - Minimum height

Range = 75 - 64 = 11 inches

Standard Deviation (σ):

To find the standard deviation, we can use the formula that involves finding the difference between each value and the mean, squaring those differences, averaging them, and taking the square root:

Standard Deviation (σ) ≈ 3.32 (rounded to 2 decimal places)

Variance (σ²):

The variance is the square of the standard deviation.

We can square the value of the standard deviation to find the variance:

Variance (σ²) ≈ 11.02 (rounded to 2 decimal places)

The height dataset (in inches) for the 31 male RCCC students is as follows:

1 70

2 70

3 70

4 70

5 71

6 64

7 64

8 65

9 65

10 66

11 66

12 67

13 67

14 68

15 68

16 68

17 69

18 72

19 72

20 72

21 72

22 73

23 73

24 73

25 73

26 73

27 73

28 74

29 75

30 75

31 75

32 75

Thus,

The population of interest: Male RCCC students.

Sample size: 31.

The sample mean: 69.68 inches.

Median: 69 inches.

Mode: 70 inches.

Range: 11 inches.

Standard deviation: 3.32 (rounded to 2 decimal places).

Variance: 11.02 (rounded to 2 decimal places).

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Answer:

3/10.

Step-by-step explanation:

The 3 men will be on the numerator, to signify they're the group we're focusing on.

Then you add all of the people together (7 + 3 = 10) and put that on the denominator.

therefore, you get 3/10.

The probability of a man getting the job for the post of HR Manager is 3/10.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

We know, The ratio of favorable events to unfavorable events for a given event is known as the odds in favor.

Given, Three men and seven women have been shortlisted for the post of HR Manager.

Therefore, The probability  of a man getting the job is,

= (3/(3 + 7)).

= 3/10.

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Answer:

-2

Step-by-step explanation:

If you draw a line from a to a^1 and cut that line in half, that’s the line of reflection (or think of it as a line of symmetry if that helps). You use a and a^1 because a^1 is the reflection of point a

Answer:

x = 6.9

Step-by-step explanation:

[tex]\frac{sin(90)}{12} = \frac{sin(35)}{x} \\\\x = 6.9[/tex]solve for x

Answer:

?

Step-by-step explanation:

i dont understanding that

Step-by-step explanation:

The relative frequency for a 15% discount is 52.1%.

The relative frequency is the quotient of a particular frequency divided by the total number of frequencies.

Given:

A store is giving out cards labeled 1 through 10 when customers enter the store.

If the card is an even number, you get a 15% discount on your purchase that day.

The subgroup for even numbers = 2, 4, 6, 8, 10

The subgroup frequency = 56 + 50 + 54 + 49 + 54 = 263

The total frequency = 500

The relative frequency = 263/500 = 0.521 = 52.1%

Therefore, 52.1% is the relative frequency.

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Answer:

is there anything else beside this

Step-by-step explanation:

9514 1404 393

Answer:

  (0, 0), (3, 5)

Step-by-step explanation:

When the graph represents direct variation, it passes through the origin (0, 0) and any points that have the same y/x ratio. Here, that ratio is 10/6 = 5/3, so points like (3, 5) and (9, 15) will be on the graph.

Answer:

0.5

Step-by-step explanation:

Wanted outcome / possible outcomes = 0.5 in this case.

Answer:

No entiendo

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Cosine = base/ hypotenuse = 6/10 = 3/5

Answer:

24 per day

Step-by-step explanation:

'x' = days, so since 24 is with x, the rate of change is 24

Answer:

Step-by-step explanation:

[tex]V=\frac{4}{3}\pi r^3~=>r=\sqrt[3]{\frac{3V}{4\pi}}=\sqrt[3]{\frac{3*260cm^3}{4\pi}}=3.96 \approx4[/tex]

Answer:

y = 5

Step-by-step explanation:

    [tex]x \ \alpha \ y[/tex]

[tex]=> x = k \times y\\=> 35 = k \times 7\\=> k = 5[/tex]

    [tex]x = k \times y[/tex]

[tex]=>25 = 5 \times y\\ =>5 = y[/tex]

Answer:

y = 5

Step-by-step explanation:

x = 35, y = 7

x = ?y

35 = ?7

? = 5

x = 25, y = ?

x = ?y

25 = 5y

y = 5

Answer:

1,171,875

Step-by-step explanation:

The sequence is multiplying by 5 every time. It will be 3, 15, 75, 375, 1875, 9375, 46,875, 234,375, and then 1,171,875

Answer:

D. x = 5; x = -5

Step-by-step explanation:

x^2 - 25 = 0

Add 25 to each side

x^2 - 25+25 = 0+25

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = ±5

Hope it helps you!

-miraculousfanx-

Answer:

p2 = (-9 , -3)

Step-by-step explanation:

let p2 be (a , b)

given :

p1(-1 , 7) = (x1 , y1)

p2(a , b) = (x2 , y2)

using midpoint formula:

midpoint = (x1 + x2/2 , y1 + y2/2)

(-5 , 2) = (-1 + a/2 , 7 + b/2)

Now , compare corresponding elements

-5 = -1 + a/2

-5*2 = -1 + a

-10 = -1 + a

-10 + 1 = a

-9 = a

2 = 7 + b/2

2*2 = 7 + b

4 = 7 + b

4 - 7 = b

-3 = b

therefore p2 = (-9 , -3)

Answer:

2x(7×3)+(7×6)+(3×6)= 162ft

Answer:

both apply

Step-by-step explanation:

i guessed just do it