Find the lateral area of this pyramid whose base is a regular hexagon with a side length of 3cm and whose slant height is 12cm.

Answer:

upload ur diagram so we can solve it for u

Answer:

Distance formula = √(x₂ - x₁)² + (y₂ - y₁)²

(x₁, y₁) = (1, 7) and (x₂, y₂) = (10, 3)

AB = √(10 - 1)² + (7 - 3)²

= √9² + 4²

= √81 + 16

= √97

= 9.85

Answer:

b=9

Step-by-step explanation:

Step-by-step explanation:

a. When the sample size is below 30 or the population standard deviation is not known, use a t distribution rather than a normal distribution.

b. The confidence interval is:

CI = x ± CV × SE

where x is the sample mean,

CV is the critical value (in this case, t).

and SE is the standard error (the sample standard deviation).

For the data given, the mean is x = 4.545, and the standard deviation is SE = 3.503.

There are 11−1 = 10 degrees of freedom, and the confidence level is 98%.  For a t-table, the critical value is CV = 2.764.

So the confidence interval is:

CI = 4.545 ± 2.764 × 3.503

CI = (-5.1, 14.2)

c.  The confidence level is 98%, so 98% of these confidence intervals will contain the true population mean, and 2% will not.

Answer:

Option C.

Step-by-step explanation:

If the graph of a function f(x) lies above the x-axis, then f(x) > 0.

If the graph of a function f(x) lies below the x-axis, then f(x) < 0.

From the given graph it is clear that the graph of f(x) intersect the x-axis at x=3.

Before x=3 the graph lies below the x-axis. So,

[tex]f(x) < 0[/tex] over the interval [tex](-\infty,3)[/tex].

After x=3 the graph lies above the x-axis. So,

[tex]f(x) > 0[/tex] over the interval [tex](3,\infty)[/tex].

Therefore, the correct option is C.

Answer:

(a) 26.43%

(b) 189 seconds

Step-by-step explanation:

(a) Data

Z-score is calculated as follows:

z = (x - mean)/sd

z = (240 - 228)/19

z = 0.63

We want to find the next probability P(Z>0.63), which is equivalent to 1 - P(Z≤0.63)

From table, 1 - P(Z≤0.63) = 1 - 0.7357 = 0.2643 or 0.2643*100 = 26.43%

(b) We want to find z1 at which P(Z≤z1) = 0.2. From the second table, z1 is between -2.05 and -2.06.

z = (x - mean)/sd

-2.055 = (x - 228)/19

(-2.055)*19 + 228 = x

x = 189 s

Answer: B no

Step-by-step explanation:

Plot in the x and y coordinates into the equation to solve it.

The x coordinate is  4 and the y coordinate is 1  

-4(4) +3(1)= 2

-16 + 3 = 2

-13 ≠2

-13 does not equal 2 so (4,1) is not a solution.

Answer: NO

Step-by-step explanation:

[tex]Substitute \\\\-4(4)+3(1)=2\\\\Multiply\\\\-16+3=2\\\\Combine \\like \\terms\\-13=2[/tex]

-13 does NOT equal 2, so it is not a solution

Hope it helps <3

Answer:

3/5

3:5 and 3/5 and 0.6 are the same thing just in different forms

You can convert by putting it into a fraction and dividing the fraction

3:5 becomes 3/5 and 3 divided by 5 = 0.6

Hope this helps

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

The n th term of square numbers is calculated using

[tex]a_{n}[/tex] = n²

Thus for the 7 th term, let n = 7 , that is

a₇ = 7² = 49

Answer:

14

Step-by-step explanation:

Answer: 0.38

Step-by-step explanation:

The mean is the sum of all the observations divided by the number of observations. It is 44.2 (rounded off to 44) Next is fraction observations that lie between 34-35 (just answered this and it is correct)

Answer:

Hey there!

These ratios are equivalent.

The given ratio is 3:4

If we multiply both sides by 5, we will get 15:20.

Thus, the ratios are equivalent.

Let me know if this helps :)

Answer:

What does the tense of the underlined verb reveal about the subject?

The event took place in the past continuously but concluded prior to another past event.

The event took place in the past continuously.

The event concluded prior to another past event.

The event has been completed.

Step-by-step explanation:

Answer:

D. Tim’s with a y-intercept of $2,780

Step-by-step explanation:

The function with the smaller y-intercept is Tim’s with a y-intercept of $2,780

The equation of Paul's savings is given as:

y-1400=56(x+26)

Set x to 0, to calculate the y-intercept

y-1400=56(0+26)

Evaluate the sum

y-1400=56(26)

Evaluate the product

y-1400=1456

Add 1400 to both sides

y = 2856

For Tim, we have the following equation

y = 225x + c

Where c represents the y-intercept

After eight months, the bank account has $4,580

So, we have:

4580 = 225*8 + c

Evaluate the product

4580 = 1800 + c

Subtract 1800 from both sides

c = 2780

2780 is less than 2856

Hence, the function with the smaller y-intercept is Tim’s with a y-intercept of $2,780

Read more about y-intercepts at:

https://brainly.com/question/1884491

Answer: n/4-1

Step-by-step explanation:

n/4 means how much each friend would have eaten if the pizza was equally divided and - 1 references to the one slice less he ate.

Answer:

B: 15

Step-by-step explanation:

I got it right on Edge

The value of 'x' in the top angle is 5 degrees.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, The angle formed at the top of the triangle is 2x° and the angle formed at the intersection of s and n is 70° and at t and n is 100°.

We know the sum of all the interior angles in a triangle is 180°.

Therefor, 2x + 100° + 70° = 180°.

2x = 10°.

x = 5°.

learn more about triangles here :

https://brainly.com/question/2773823

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Answer:

Assuming you mean area the answer is 120

Step-by-step explanation:

a right triangle has too shorter sides who are perpendicular and one longer side that you can't use. the longer side is 24 since 24>20>12

so 24 is the hypontenuse (longer side)

the two perpendicular sides are 20 and 12

the area for a triangle is b*h*1/2

the base (20) times the height (12) is 240. 240 times 1/2 is 120.

Answer:

IQR = 7.5

UQ = 72

LQ = 24

Answer:

1. 7.8888888888889

2. 70

3.23,23,24,27,31,33,34,38,40

Answer:

3) 84°

Step-by-step explanation:

The angle formed by a chord and a tangent measures half of the intercepted arc.

m<A = (1/2)m(arc) = (1/2) * (168 deg) = 84 deg

Answer:

84 degrees

Step-by-step explanation:

Answer:

AD

Step-by-step explanation:

You must measure the difference between A and D. To get to this answer you should try all available combinations.

Sorry, not sure I understand.  (ab)/(a+b) is NOT equal to a*b, as a*b is the same thing as ab.

Answer:

-9

Step-by-step explanation:

-5 - 4 = -5 + (4)

You are adding two negative numbers, so add the absolute values of the numbers, and the sign of the answer is negative.

-5 - 4 = -(|-5| + |4|) = -(5 + 4) = -9

Answer:

3x^2 or 8x

Step-by-step explanation:

Answer:

6lbs

Step-by-step explanation:

Total # of Frankfurters needed.

[tex]19*2=38[/tex]

Divide the total needed by the amount in a lb, to find out how many lbs we need.

[tex]\frac{38}{7}=5.4[/tex]

Therefore, we need 6 full lbs in order to create at least 38 Frankfurters.

If we only have 5lbs, we can only create 35 Frankfurters.

5.4 pounds of frankfurters are needed for a picnic.

there are 7 frankfurters to the pound

let x pounds of frankfurters needed for a picnic. to supply 19 pupils with 2 frankfurters each.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

since there are 19 pupil and each of has 2 frankfurters.

total frankfurters = 19 x 2
= 38
required pound,
x =38/7
x = 5.4  

Thus, 5.4 pounds of frankfurters are needed for a picnic to supply 19 pupils with 2 frankfurters each.

Learn more about Ratio here:

brainly.com/question/13419413

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Answer: 6 feet

Step-by-step explanation:

Given that a 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over and no wood lost due to the cuts

Let assume that the 4 rectangles will be of the same area since they are congruent.

The area of the big rectangle will be

Area = 4 × 8 = 32

Divide 32 by 4

32/4 = 8

Suggest the two possible numbers in which their product will be equal to 8

4 and 2 or 8 and 1

If 4 and 2

The perimeter = 2L + 2B

Substitute the 4 and 2 into the formula

Perimeter = 2(4) + 2(2)

Perimeter = 8 + 4

Perimeter = 12

If 8 and 1

Perimeter = 2(8) + 2(1)

Perimeter = 16 + 2 = 18

The positive difference, in feet, between the greatest possible perimeter of a single piece and the least possible perimeter of a single piece will be:

18 - 12 = 6 feet

Answer:A,C,E,i think F

Step-by-step explanation:

Answer:

y = -1/4x + 1

Step-by-step explanation:

that is (0,1) and (4,0)

gradient

can be -1/4

c can be y = mx + c

we'll take anyone of the equation

1 = 0 + c

c = 1

Answer:

1-1/3 if its 14

1/52 if its 1/4

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Total People = 250

Left the party at 11 pm = 70

Stayed = 250-70

=> 180

Couples that stayed = 180/2

=> 90

Answer:

90 Couples

Step-by-step explanation:

There were 250 total people at the beginning at the party. 70 people left at 11pm.

Subtract 70 from 250:

[tex]250-70=180[/tex]

There were 180 people that stayed.

A couple consists of two people. The question asks how many couples stayed at the party, not people.

Divide 180 by 2:

[tex]\frac{180}{2}= 90[/tex]

There would be 90 couples that stayed at the party.

Answer:

y = 5x - 3

Step-by-step explanation:

ok so perpendicular just means the opposite reciprocal of the slope of the normal equation. It just means that they form a 90 degree angel when they intersect.

Answer:

The 99% confidence interval of the population standard deviation is 1.7047 < σ < 7.485

Step-by-step explanation:

Confidence interval of standard deviation is given as follows;

[tex]\sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{1-\alpha /2}^{}}}< \sigma < \sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{\alpha /2}^{}}}[/tex]

s = [tex]\sqrt{\dfrac{\Sigma (x - \bar x)^2}{n - 1} }[/tex]

Where:

[tex]\bar x[/tex] = Sample mean

s = Sample standard deviation

n = Sample size = 7

χ = Chi squared value at the given confidence level

[tex]\bar x[/tex] = ∑x/n = (62 + 58 + 58 + 56 + 60 +53 + 58)/7 = 57.857

The sample standard deviation s = [tex]\sqrt{\dfrac{\Sigma (x - \bar x)^2}{n - 1} }[/tex] = 2.854

The test statistic, derived through computation, = ±3.707

Which gives;

[tex]C. I. = 57.857 \pm 3.707 \times \dfrac{2.854}{\sqrt{7} }[/tex]

[tex]\sqrt{\dfrac{\left (7-1 \right )2.854^{2}}{16.812}^{}}}< \sigma < \sqrt{\dfrac{\left (7-1 \right )2.854^{2}}{0.872}}[/tex]

1.7047 < σ < 7.485

The 99% confidence interval of the population standard deviation = 1.7047 < σ < 7.485.