find the surface area of the square pyramid if the slant height is 13mm and the base length is 11mm

a) 264mm squared
b) 286mm squared
c) 335.5mm squared
d) 407mm squared

Answer:

.25 or 25%

Step-by-step explanation:

.5 × .5 = .25 or 25%

Final answer:

The probability of at least two coins landing on heads can be found by calculating the probabilities for each possible number of heads (2 to 10), and adding them together, or by subtracting the probabilities of 0 or 1 head from 1. Each toss has a 50% chance, and binomial probabilities can be used for detailed calculations.

Explanation:

The question is about calculating the probability of at least two coins landing on heads when tossed multiple times. To solve this type of probability problem, one must consider all possible outcomes and then identify the number of favorable outcomes. Assuming each coin tossed is fair, the chance of landing on heads for any single toss is 50%.

Let's consider tossing a coin ten times. Theoretically, one could get an outcome with any number of heads ranging from 0 to 10. To specifically address the probability of getting at least two heads, you would add up the probabilities of getting 2 heads, 3 heads, ..., up to 10 heads. For example, the probability of getting exactly 2 heads in 4 tosses can be calculated using the binomial probability formula, which in this case would be P(X = 2) = (4 choose 2) * (0.5)^2 * (0.5)^(4-2), and you would perform similar calculations for each number of heads from 2 to 10.

The probabilities for getting 0 or 1 heads can be subtracted from 1 to find the probability of getting at least 2 heads. This approach is often easier than adding up all the individual probabilities for 2 to 10 heads. For instance, the probability of getting at least one (one or two) tail in two flips is P(F) = 3/4, where F is the event of getting at least one tail which includes the outcomes HT, TH, and TT.

Answer:

1,875

-9,375

46,875

Step-by-step explanation:

You're multiplying by -5 every time, so your next three numbers would be 1,875 -9,375 and 46,875

Answer:

D. 80 mL

Step-by-step explanation:

Given:

- 10.0 mL of HCL

- 2.0 M HCl

- .25 M HCl

1) Convert mL to L

10 mL/1000 mL = .01 L

2) Find # of moles of HCl

2.0 M HCl = (x/.01 L)

x = .02 mol HCl

3) Find volume needed to make .25 M HCl

.25 M = .02 mol HCl/ y

y = .08 Liters

4) Convert Liters to mL

.08 L * 1000 mL = 80 mL

Answer: 80 mL (D)

The equation x2 + 2x = 2x + x2 demonstrates the Commutative Property, showing that the order of addition does not change the result.

The equation x2 + 2x = 2x + x2 demonstrates the Commutative Property of addition. The Commutative Property states that for any numbers a and b, a + b = b + a. This property applies to both addition and multiplication, indicating that the order in which two numbers are added or multiplied does not change the result. In the given equation, the terms on both sides can be rearranged without changing the equality, showing that x2 + 2x is equal to 2x + x2 due to the commutative property.

Complete Question

The circle is inscribed in triangle PRT. A circle is inscribed in triangle P R T. Points Q, S, and U of the circle are on the sides of the triangle. Point Q is on side P R, point S is on side R T, and point U is on side P T. The length of R S is 5, the length of P U is 8, and the length of U T is 6. Which statements about the figure are true?

Answer:

(B)TU ≅ TS

(D)The length of line segment PR is 13 units.

Step-by-step explanation:

The diagram of the question is drawn for more understanding,

The theorem applied to this problem is that of tangents. All tangents drawn to a circle from the same point are equal.

Therefore:

|PQ|=|PU|=8 Units

|ST|=|UT| =6 Units

|RS|=|RQ|=5 Units

(b)From the above, TU ≅ TS

(d)Line Segment |PR|=|PQ|+|QR|=8+5=`13 Units

Answer:

b & d

Step-by-step explanation:

i took the edge test !

all stars show a pattern

Answer:

6

Step-by-step explanation:

Answer:

2 3/4 divided by 11/8 would be 2.

Factor the numerator and denominator and cancel the common factors.

I hope that this was helpful :3

STAY SAFE!! :)

Answer:

[tex] a =5[/tex]

Now we can use the info from the second point and we have:

[tex] 1280 = 5 b^8 [/tex]

We can divide 5 in both sides and we got:

[tex] 256 = b^8[/tex]

And using an exponent 1/8 in both sides we got:

[tex] (256)^{1/8} = b[/tex]

[tex] b = 2[/tex]

And then our model would be given:

[tex] y= 5 (2)^x [/tex]

Step-by-step explanation:

For this case we have two points given (0,5) and (8,1280). And we want to find a function given by this general expression:

[tex] y= ab^x [/tex]

And using the first point given we have:

[tex] 5 = a b^0 [/tex]

[tex] a =5[/tex]

Now we can use the info from the second point and we have:

[tex] 1280 = 5 b^8 [/tex]

We can divide 5 in both sides and we got:

[tex] 256 = b^8[/tex]

And using an exponent 1/8 in both sides we got:

[tex] (256)^{1/8} = b[/tex]

[tex] b = 2[/tex]

And then our model would be given:

[tex] y= 5 (2)^x [/tex]

Final answer:

To write an exponential function that passes through (0, 5) and (8, 1280), we first use the point (0, 5) to find that a = 5. Then, using the point (8, 1280), we solve for b, finding b = 2. Thus, the required exponential function is[tex]y = 5.2^x.[/tex]

Explanation:

To write an exponential function in the form y=ab^x that goes through the points (0, 5) and (8, 1280), we need to solve for a and b.

Step 1: Use the First Point (0, 5)

Substitute x = 0 and y = 5 into the equation:
5 = a · [tex]b^0[/tex]
Since any number raised to the power of 0 is 1, we find:
a = 5

Step 2: Use the Second Point (8, 1280)

Substitute x = 8, y = 1280, and a = 5 into the equation:
1280 = 5 ·[tex]b^8[/tex]
To solve for b, divide both sides by 5:
256 = [tex]b^8[/tex]

Finding the 8th root of both sides gives:
b = 2

Step 3: Write the Exponential Function

Now that we have a = 5 and b = 2, the exponential function is:
y = 5·[tex]2^x[/tex]

Answer: 6 × 1/1000

Step-by-step explanation:

Lana is creating a video. Her computer shoes that the video is 184.026 second long. From the figures, 184.026

1 represents 100

8 represents 80

4 represents 4

0 represents 0 tenths

2 represents 2 hundredths

6 represents 6 thousandths

Therefore, 6 × 1/1000 is the right answer.

The correct expanded form expression for one of the digits in Lana's video length is D. 6 * [tex]\frac{1}{1000}[/tex] which matches the digit 6 in the thousandths place correctly.

Lana's video length is 184.026 seconds. To write it in extended form, we separate each digit by its place value:

Now, let's match the given options to this expanded form:

Therefore, the correct answer is D. 6 * [tex]\frac{1}{1000}[/tex]

Complete question:

Lana is creating a video. Her computer shows that the video is 184.026 seconds long. She writes the length of the video in expanded form. Which expression represents the value of one of the digits in the length of Lana’s video?

A. 1* 1000

B. 2* [tex]\frac{1}{10}[/tex]

C. 4* 10

D. 6* [tex]\frac{1}{1000}[/tex]

Answer:

200/1

Step-by-step explanation:

1000/5  = 200/1

Answer:

The number of cubes needed = 12

Step-by-step explanation:

To know the number of cubes that will be needed to fill the prism, we need to divide the the volume of the right rectangular prism by the volume of the cube.

Mathematically, the volume of the right rectangular prism can be calculated using the formula;

V = whl

where w is the width, h is the height and l is the length.

Plugging the values we have in the question for the right rectangular prism, we have;

V = 3/4 * 1 * 1/4 = 3/16 inch^3

The volume of the cube can be calculated using the formula L^3 where L is the side length

V = 1/4 * 1/4 * 1/4 = 1/64 inch^3

The number of cubes needed to fill the prism is thus;

(3/16) ÷ (1/64) = 3/16 * 64/1 = 3 * 4 = 12

12 small cubes with side lengths of 1/4 inch each are needed to fill the given right rectangular prism.

To find out how many small cubes with side lengths of 1/4 inch are needed to fill a right rectangular prism with edges measuring 3/4 inch, 1 inch, and 1/4 inch, we need to calculate the volume of the prism and divide it by the volume of one small cube.

The volume of the prism is found by multiplying the lengths of its sides:
Volume of prism = (3/4 inch) * (1 inch) * (1/4 inch) = 3/16 cubic inches.

The volume of a small cube with a side length of 1/4 inch is:
Volume of small cube = [tex](1/4 inch)^3[/tex] = 1/64 cubic inches.

To find the number of small cubes needed to fill the prism, we divide the prism's volume by the small cube's volume:
Number of small cubes = Volume of prism / Volume of small cube
Number of small cubes = (3/16) / (1/64)

By simplifying this division, we get:
Number of small cubes = 3/16 * 64 = 12

Therefore, 12 small cubes with side lengths of 1/4 inch each are needed to fill the right rectangular prism.

Answer:

a. y = 4,200 [tex]0.976^{4t}[/tex]

b. 9.2%

Step-by-step explanation:

Given the information:

=> the base number of the exponential function is:

100% - 2.4% = 97.6% = 0.976

Let t is quarter

Let y is the population

=>  the following shows an exponential decay function to find the quarterly decay rate is:

y (t)= 4,200 [tex]0.976^{4t}[/tex]

b. The population is decreasing by how much percent per quarter?

Let t = 0 we have: y(0) = 4,200 [tex]0.976^{4*0} = 4200[/tex]

Let t = 1 we have:  y(1) = 4,200 [tex]0.976^{4*1} = 3811[/tex]

=> the decreasing percentage is:

= (y(0) - y(1)) / y(0)*100%

= (4200 - 3811) / 4200 *100%

= 389/4200*100%

= 9.2%

The expoenetial function that represents the quarterly decay is y = 4200(0.994)^4t.

The  population is decreasing by 0.4% every quarter.

The formula that can be used to determine the rate of decrease every quarter is:

FV = P(1 - r/m)^tm

y = 4200( 1 - 0.024/4)^4t

y = 4200(1 - 0.006)^4t

y = 4200(0.994)^4t

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

m = -1/2 and b = 2.5

Step-by-step explanation:

The slope intercept form of the equation of a line is

y = mx+b  where m is the slope and b is the y intercept

2.5 - 1/2x = y

Rewriting

y = -1/2x +2.5

The slope is -1/2 and the y intercept is 2.5

m = -1/2 and b = 2.5

Answer:

Cos 35

Step-by-step explanation:

They have the same answer when typed in a calculator

Answer:

32ft^2

Step-by-step explanation:

because Area of the surface triangle is A = 1/2ap

So its 4 * 16 divided by 2

Answer:

100 boxes are needed to fulfill the order

Step-by-step explanation:

In this question, we are concerned with calculating the number of boxes that are needed to fulfill an order.

Each of the boxes contain 16 bags of flour and each of these bags weigh 5 pounds. What this means is that each of the boxes will have a net weight of 5 * 16 = 80 pounds

Mathematically, 1 ton is the equivalent of 2,000 pounds. Hence, 4 tons is the equivalent of 4 * 2000 = 8,000 pounds

Thus, the number of boxes needed will be 8,000/80 = 100 boxes

Answer:

Two Angles are Complementary when they add up to 90 degrees (a Right Angle)

Step-by-step explanation:

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Answer:

1) a. CI = 0.426 < p < 0.574

2) c. CI = 2.74% < p < 6.524%

3) a. CI = 20 < μ < 22

4) c. CI = 81.11 < μ < 85.09

5) b. CI = 76.21 < μ < 89.79

6) d. $453.59 < μ < $874.69

7) d. CI = $559 < σ < $1953.3

8) c. CI = $3.96 < σ < $6.72

9) c. 6.22 ft < σ < 12.59 ft

10) d. 0.19 oz < σ < 0.72 oz

Step-by-step explanation:

The Confidence Interval, CI are given as follows

For the population proportion

[tex]CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

1)  [tex]\hat p[/tex] = 55/110 = 0.5

z at 88% = ±1.56

a. CI = 0.426 < p < 0.574

2)  [tex]\hat p[/tex] = 31/669 = 0.5

z at 98% = ±2.326

c. CI = 2.74% < p < 6.524%

3) Here we have unknown population standard deviation, so we find the t interval

[tex]\bar x[/tex] = 21

n = 130

s = 3.0

Confidence level = 98%

[tex]CI=\bar{x}\pm t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]

[tex]t_{\alpha /2}[/tex] = ±2.356

CI = 20.380 < μ < 21.62

Rounding up gives;

a. CI = 20 < μ < 22

4) Similarly here we have;

[tex]t_{\alpha /2}[/tex] = ±1.699 and

c. CI = 81.11 < μ < 85.09

5) Here

[tex]\bar x[/tex] = 83

s = 13.5

n = 30

Confidence level = 99%

[tex]t_{\alpha /2}[/tex] = ±2.76 and

b. CI = 76.21 < μ < 89.79

6) In the question, we have

[tex]\bar x[/tex] = $664.14

s = $297.29

n = 14

Confidence level = 98%

[tex]t_{\alpha /2}[/tex] = ±2.65 and

CI = $453.56 < μ < $874.72

d. $453.59 < μ < $874.69

7) The confidence interval for a population standard deviation is given by the following relation;

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

Here

n = 9

x = $3959

s = $886

Therefore we have

d. CI = $559 < σ < $1953.3

8) Here we have;

n = 41

x = $108

s = $5

Therefore;

c. CI = $3.96 < σ < $6.72

9) Here we have;

n = 29

x = 65 ft

s = 8.5 ft

Therefore we have

CI = 6.3 ft < σ < 12.73 ft

c. 6.22 ft < σ < 12.59 ft

10) Here we have

n = 8

s = 0.301188123

d. 0.19 oz < σ < 0.72 oz.

Answer:

C. 17

Step-by-step explanation:

f(x)= 3x+2

f(5)= 3(5) + 2

f(5)= 15+2

f(5) = 17

Answer:

2.5

Step-by-step explanation:

Okay so this is just unit pricing I believe.  First we take a look at the info we have.

24 bottles cost $6

We want 10

So what is 24 divided by 6?

Once you have that, it is the unit price.

Since 4 x 6 is 24, what would you use to find 10?

And thats how you find your answer!  Hope this helped.

Have a great day ad stay healthy.

Answer: c = 6

To solve for c in the equation you see here,

our goal is to get c by itself.

Our first step will be to isolate the term

containing c which in this problem is 3c.

To isolate 3c, we have to get rid of the +5 by

subtracting 5 from both sides of the equation.

On the left, the +5 and -5 cancel out

and we are simply left with 3c.

On the right, 23 - 5 simplifies to 18.

Now we have 3c = 18.

To get c by itself, since it's being multiplied by 3,

we just divide both sides of the equation by 3.

On the left, the 3's cancel and we are left with c.

On the right, 18/3 simplifies to 6.

So our answer is c = 6.

Answer:

4

Step-by-step explanation:

It because when you count on your hands from 2 go up 2 more you get 4

A\9

Step-by-step explanation:

Answer:

[tex]55.5cm[/tex]

Step-by-step explanation:

[tex]area \\ 5106= \frac{1}{2} (a + b) \times h \\ 5106= \frac{1}{2} \times (119 + 65) \times h \\ 5106= \frac{1}{2} \times 184 \times h \\ 5106 = \frac{184}{2} \times h \\ 5106 = 92h \\ \frac{5106}{92} = \frac{92h}{92} \\ \\ h = 55.5cm[/tex]

hope this helps

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good luck! have a nice day!