AB is a diameter of a circle, center O. C is a point on the circumference of the circle, such that
CAB = 26°
What is the size of CBA?

A. 26
B. 45
C. 64
D. 74

Answer:

23

Step-by-step explanation:

29 minus 6 equals 23

Answer:

k = 23

29 = k + 6

Step-by-step explanation:

29 = k + 6

k = 29 - 6

k = 23

Answer: 15 tickets

Step-by-step explanation:

given that the cost of the bear = 30 tickets

He has paid $5 for 10 tokens to use to play games . And So far he's won 15 tickets and used 7 tokens for different games. Since he has won 15 tickets, then

He needs to will 30 -15 = 15 tickets

The best unit for the answer is ticket

Answer:

7. 23.7

8. option 2

Step-by-step explanation:

Brainliest?

Answer:

-5x+11c

Step-by-step explanation:

add the alike terms

Answer:

x=-1

Step-by-step explanation:

4x+3x=2x-5

7x=2x-5

7x-2x=2x-5-2x

5x=-5

Answer:

[tex]14x-35[/tex]

[tex]\mathrm{Please\:vote\:me\:Brainliest\:if\:this\:helped!}[/tex]

Step-by-step explanation:

[tex]F=4x+3x,\:g=2x-5,\:F\left(x\right)\:\circ \:g\left(x\right):\quad 14x-35[/tex]

[tex]\mathrm{For}\:F=4x+3x\:\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=2x-5[/tex]

[tex]=4\left(2x-5\right)+3\left(2x-5\right)[/tex]

[tex]\mathrm{Expand}\:4\left(2x-5\right)+3\left(2x-5\right):\quad 14x-35[/tex]

[tex]\mathrm{Simplify}\:7\cdot \:2x-7\cdot \:5:\quad 14x-35[/tex]

[tex]\mathrm{Therefore,\:the\:answer\:is\:14x-35}[/tex]

Answer: decreasing; 0 < b < 1

Step-by-step explanation: I got this question on edge

Answer:

Decreasing/ 0<b<1

Thank me later ;)

Final answer:

The painter charged $615 for a job that took 15 hours and required 3 cans of paint, which is answer choice (c).

Explanation:

To calculate the total charge for a painting job that took 15 hours and used 3 cans of paint, we need to plug these values into the painter's pricing formula, 35h + 30c.

Substituting the given values into the equation, we get:

Total charge = 35(15) + 30(3)

Total charge = 525 + 90

Total charge = $615

Therefore, the painter charged $615 for the job, which corresponds to answer choice (c).

Answer:

313.3084 in3

Step-by-step explanation:

To find the final volume of the finished ball, we need to find the volume of the whole sphere and then decrease it by the volume of the three holes.

The volume of the sphere is given by this formula:

V = (4/3)*pi*r^3

Where r is the radius. In our case, the radius is 8.5 / 2 = 4.25 in, so the volume is:

V1 = (4/3)*pi*4.25^3 = 321.5551 in3

The volume of each cilindrical hole can be calculated as:

V = pi*r^2*h

Where r is the radius and h is the height. We have that the radius is 1/2 = 0.5 inches and the height is 3.5 inches, so:

V2 = pi*0.5^2*3.5 = 2.7489 in3

So the final volume is:

V = V1 - 3*V2 = 321.5551 - 3*2.7489 = 313.3084 in3

Answer:

313.313inches³

Step-by-step explanation:

A bowling ball is spherical in shape hence,

The Formula used to calculate the volume of sphere is

= 4/3 πr³

For the question, we were given diameter.

Diameter of the bowling ball = 8.5 inches

Radius = Diameter ÷ 2

Radius = 8.5 inches ÷ 2

Radius = 4.25 inches

Hence,

Volume of a Sphere =

4/3πr³

= 4/3 × π ÷ 4.25

= 321.55509806inches³

Approximately = 321.56inches³

From the question we can see that the bowling ball has 3 cylindrical holes in it

With a diameter of 1 inch and a depth of 3.5inches

Hence we find the volume of these holes

Volume of a cylinder = πr²h

Diameter = 1 inch,

Radius = Diameter /2 = 1/2 inches

Height(Depth) = 3.5 inches

Volume of the cylindrical holes = π ×(1/2) ² × 3.5

Volumes = 2.749inches³

Since we have 3 holes ,

Volumes of the 3 holes = 2.749inches³ × 3

= 8.247inches³

The Volume of the total Spherical bowling ball

= Volume of the total bowling ball without holes - Volume of the cylindrical holes on the bowling ball

= 321.56inches³ - 8.247inches³

= 313.313inches³

Hence, the best estimate of the volume of resin in the finished ball = 313.313inches³

Answer:

The length of LM to the nearest tenth of a foot would be 11.7

Step-by-step explanation:

Using the law of sines (b = c·sin(B)/sin(C)) you would plug in your missing values

x=7*sin(59)/sin(31)

Answer:

P(E and F) = 0.123

P(E or F) = 0.677

P(E|F) = 0.189

Step-by-step explanation:

The formula for conditional probability is P(B|A) = P(A and B)/P(A)

The addition rule is P(A or B) = P(A) + P(B) - P(A and B)

∵ P(E) = 0.15

∵ P(F) = 0.65

∵ P(F|E) = 0.82

- Use the first rule above

∵ P(F|E) = P(E and F)/P(E)

- Substitute the values of P(F|E) and P(E) to find P(E and F)

∴ 0.82 = P(E and F)/0.15

- Multiply both sides by 0.15

∴ 0.123 = P(E and F)

- Switch the two sides

∴ P(E and F) = 0.123

Use the second rule to find P(E or F)

∵ P(E or F) = P(E) + P(F) - P(E and F)

∴ P(E or F) = 0.15 + 0.65 - 0.123

∴ P(E or F) = 0.677

Use the first rule to find P(E|F)

∵ P(E|F) = P(F and E)/P(F)

- P(F and E) is the same with P(E and F)

∴ P(E|F) = 0.123/0.65

∴ P(E|F) = 0.189

[tex]89 \: cm, \: \: 749 \: m, \: \: 560 \: dm, \: \: 452 \: km[/tex]

Step-by-step explanation:

The given lengths are written in increasing order as:

[tex]89 \: cm, \: \: 749 \: m, \: \: 560 \: dm, \: \: 452 \: km[/tex]

Answer:

14$

2+3+4+5=14

Answer: 6 and 9, 7 and 8. 69, 78, 87, 96. So, there are only 4 combinations which would result in 15.

Step-by-step explanation:

Therefore the average sum of three numbers is 45:3=15. The number 15 is called the magic number of the 3x3 square. You can also achieve 15, if you add the middle number 5 three times. The odd numbers 1,3,7, and 9 occur twice in the reductions, the even numbers 2,4,6,8 three times and the number 5 once.

9+1+3+2= 15

Hope this helps you:)

Answer:

P(X=2)=0.04129

Step-by-step explanation:

-This is a binomial probability problem whose function is expressed as;

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

-Given that p=0.6, n=8 , the probability that among the students in the sample exactly two are female is calculated as:

[tex]P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=2)={8\choose2}0.6^2(1-0.6)^6\\\\=0.04129[/tex]

Hence, the probability of exactly two females is 0.04129

To find the probability that exactly two students are female in a sample of 8 students, we can use the binomial probability formula. The probability is approximately 43.008%.

To find the probability that exactly two students are female, we can use the binomial probability formula. The formula is:

P(X = k) = C(n, k) * pk * (1-p)n-k

where:

In this case, n = 8, k = 2, and p = 0.6 (since 60% of the students are female). Plugging these values into the formula:

P(X = 2) = C(8, 2) * 0.62 * (1-0.6)8-2

Simplifying:

P(X = 2) = 28 * 0.62 * 0.46

P(X = 2) = 28 * 0.36 * 0.4096

P(X = 2) = 0.43008

Therefore, the probability that exactly two students are female in the sample is approximately 0.43008 or 43.008%.

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Answer:

If you are asking for the equation, it is y= -(1/2)x -2

Answer:

Step-by-step explanation:

1: SA = bh + (s1 + s2 + s3)H

2: A = lw

3: A = lw

Answer:

The answer is B) 9 faces, 7 rectangles, and 2 triangles

Step-by-step explanation:

Answer:

130 centimeters

Completed question;

Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below.

Todd wants to paint a design on the wood along the diagonal shown. If each tile is 13 centimeters on each side, what is the length of the diagonal shown?

A. 182 centimeters

B. 169 centimeters

C. 130 centimeters

D. 91 centimeters

Step-by-step explanation:

To determine the length of diagonal, we have to first find the length of each side;

According to the attached image;

The length consist of 8 tiles

And breadth consist of 6 tiles

Length per tile = 13 centimeters

Length = 8 × 13 = 104 centimeters

Breadth = 6×13 = 78 centimeters

Using Pythagoras theorem;

diagonal length d = √(104^2 + 78^2)

d = 130 centimeters

Answer:

535.9 ft²

Step-by-step explanation:

Since there are 360° in a circle, and 240° is 2/3 of 360°, we can say that the area of the bolded sector is 2/3 the area of the whole circle. The area of a circle with a radius of r is πr², or approximately 3.14r², so the area of the whole circle is ≈ 3.14(16)² = 3.14(256) = 803.84 ft². Taking 2/3 of this gets us 803.84 * (2/3) ≈ 535.9 ft²

Answer:

.88^9

Step-by-step explanation:

this is the only right answer on khan

The required probability of Chris Paul making all of his next 9 free throw attempts is 0.31

Given that,
Chris Paul is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 88\%88%88, percent of the time. The probability of Chris Paul making all of his next 9 free throw attempts is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
According to the question,
Probability is given as,
P = [0.88]⁹

P = 0.31

Thus, the required probability of Chris Paul making all of his next 9 free throw attempts is 0.31

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Answer:

2520 patterns

Step-by-step explanation:

In 'n' 10!  ways, books can be arranged. But, there are also 5! permutation of blue books 'n1', 2! permutation of identical green books 'n2', and 3! permutation identical black books 'n3'.

Therefore, for non identical arrangements:

[tex]\frac{n!}{n1!n2!n3!}[/tex]

[tex]\frac{10!}{5!2!3!}[/tex] = 2520

Therefore, the books can be arranged on a shelf in 2520 patterns

There are 3,024 different patterns in which the books can be arranged on the shelf.

To calculate the number of different patterns the books can be arranged on a shelf, we can use the concept of permutations. We have 5 identical blue books, 2 identical green books, and 3 identical black books, so the total number of books is 5 + 2 + 3 = 10.

The number of different patterns is given by the formula:

n! / (n1! * n2! * n3! * ...)

where n is the total number of books and n1, n2, n3, ... are the numbers of books of each type. Substituting the values, we get:

10! / (5! * 2! * 3!) = 3,024 patterns.

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Answer:

Required equation of tangent plane is [tex]z=\frac{6}{5}(x-5y-11)[/tex].

Step-by-step explanation:

Given surface function is,

[tex]f(x,y)=6-\frac{6}{5}(x-y)[/tex]

To find tangent plane at the point (5,-1,1).

We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,

[tex]z=f(x_0,y_0)+f_x(x_0,y_0)(x-x_0)+f_y(x_0,y_0)(y-y_0)\hfill (1)[/tex]

So that,

[tex]f(x_0,y_0)=6-\frac{6}{5}(5+1)=-\frac{6}{5}[/tex]

[tex]f_x=-\frac{6}{5}y\implies f_x(5,-1,1)=\frac{6}{5}[/tex]

[tex]f_y=-\frac{6}{5}x\implies f_y(5,-1,1)=-6[/tex]

Substitute all these values in (1) we get,

[tex]z=\frac{6}{5}(x-5)-6(y+1)-\frac{6}{5}[/tex]

[tex]\therefore z=\frac{6}{5}(x-5y-11)[/tex]

Which is the required euation of tangent plane.

To find the distance the diver needs to swim along the ocean floor to reach the treasure chest, we can use trigonometry. By using the angle of depression and the depth the diver is lowered, we can calculate the hypotenuse of the right triangle formed, which represents the distance the diver needs to swim. The diver needs to swim approximately 199 meters along the ocean floor to reach the treasure chest.

To find the distance the diver needs to swim along the ocean floor, we can use trigonometry. Let's consider the right triangle formed by the diver, the treasure chest, and the ship's sonar. The angle of depression is 12°, and the diver is lowered 40 meters. We need to find the hypotenuse of the triangle, which represents the distance the diver needs to swim.

Using the angle of depression and the opposite side of the triangle (the depth the diver is lowered), we can set up the following trigonometric equation:
tan(12°) = opposite/hypotenuse

Substituting the values:
tan(12°) = 40/hypotenuse

Solving for the hypotenuse, we get:
hypotenuse = 40/tan(12°)

Calculating this value gives us approximately 199.20 meters. Therefore, the diver needs to swim approximately 199 meters along the ocean floor to reach the treasure chest.

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Answer:

32

Step-by-step explanation:

Assuming they all complete it at the same rate,

896/28 = 32

Answer:  x = 4

Step-by-step explanation: The mean is the average of the given numbers, so take the numbers add them up and divide by the quantity of numbers. To get the answer to this question, you know the mean is 10 and you have two numbers. You take the 10, multiply it by 2 and you get how much the numbers add up to. You can combine x and 4x to get 5x. 5x=20. Divide 20 by 5 and you get the answer of x=4  

Answer:

x = 4

Step-by-step explanation:

To find the mean of two numbers, you have to add the numbers, then divide by 2.

So, if 10 is equal to the mean of x and 4x, it is equal to the sum of 4x and x divided by 2. If we put this in the form of an equation, we get:

[tex]\frac{x + 4x}{2} =10[/tex]

Now we can multiply both sides by 2, and get:

[tex]x + 4x = 20[/tex]

Simplify the left side to:

[tex]5x = 20[/tex]

And lastly, divide both sides by 5:

[tex]x = 4[/tex]

Answer:

74310

Step-by-step explanation:

A=52000e ^0.021(17)

A=52000e^{0.357}

A=52000e^ 0.357

A=74309.8652324

A=74310

The amount in account after 17 years is $74032.4.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].

Given that, principal =$52,000, rate of interest =2.1% and time period =17 years.

Here, Amount =52000(1+2.1/100)¹⁷

= 52000(1+0.021)¹⁷

= 52000(1.021)¹⁷

= 52000×1.4237

= $74032.4

Therefore, the amount in account after 17 years is $74032.4.

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Answer:

p = x * (3/8)

Where p is the amount of a box and x is the number of people.

For x=2 -> p = 2 * (3/8) = 3/4

Step-by-step explanation:

If Mark uses 3/8 of a box to make enough for one person, we can find the amount required (p) to be enough for 'x' people using a rule of three:

3/8 of a box -> 1 person

p -> 'x' people

(3/8)/p = 1/x

p/(3/8) = x

p = x * (3/8)

If we want the amount for 2 people, we use x = 2 in the equation:

p = 2 * (3/8) = 3/4

So Mark will need 3/4 of a box.

Answer:

a. p(x<= 5) = .15 + .4 + .25 = .8

C. .4(4.2) = 1.68

5.4(1-.4) = 3.24

3.24 + 1.68 = 4.92 ,, 4.92 > 4.55 so short is better

Step-by-step explanation:

The probability that Miguel’s score on the Water Hole is at most 5 is 80%.

Given that,

Miguel is a golfer, and he plays on the same course each week.

The following table shows the probability distribution for his score on one particular hole, known as the Water Hole.

Score 3 4 5 6 7

Probability 0.15 0.40 0.25 0.15 0.05.

We have to determine,

The probability that Miguel’s score on the Water Hole is at most 5.

According to the question,

Let the random variable X represent Miguel’s score on the Water Hole. In golf, lower scores are better.

Suppose one of Miguel’s scores from the Water Hole is selected at random.

Then,

The probability that Miguel’s score on the Water Hole is at most 5 is,

At most 5 means scores which are equal or less than 5.

P(at most 5) = P(X ≤ 5) = P(X = 3) + P(X = 4) + P(X = 5)

P(X ≤ 5) = 0.15 + 0.40 + 0.25

P(X ≤ 5) = 0.80

P(X ≤ 5) = 80%

Therefore,

There is 80% chance that Miguel’s score on the Water Hole is at most 5.

Hence, The probability that Miguel’s score on the Water Hole is at most 5 is 80%.

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Answer:

68

Step-by-step explanation:

Take the cost of all 4 tiers and divide by 4

272/4 =68

The cost of 1 tire is 68

Answer:

The 99% confidence interval estimate for the mean is 97.9576 ≤ μ ≤ 98.246

A) This suggests that the mean body temperature could very possibly be 98.6 °F

Step-by-step explanation:

 The number of body temperatures, n = 103

The mean body temperature, [tex]\bar x[/tex] = 98.1

The standard deviation, s = 0.56

Confidence interval required = 99%

Confidence interval, CI is given by

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

Plugging in the values we get;

z = 2.56 at 99%

[tex]CI=98.1}\pm 2.56\times \frac{0.56}{\sqrt{103}}[/tex]

Therefore, we have

[tex]\mu_{min} = 97.9579 , \ \mu_{max} = 98.242[/tex],

The statistical result suggest that at 99% confidence level, the sample mean temperature is likely to be 98.1 °F