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Answer:

11.09units

Step-by-step explanation:

Find the diagram attached

The radius of the circle is line projecting from the center to the circumference. Hence AB is the radius of the circle.

To get AB, we will use the pythagoras theorem as shown;

Given

AC=22

BC=19

AC² = AB²+BC²

22² = AB²+19²

AB² = 22²-19²

AB² = 484-361

AB² = 123

AB = √123

AB = 11.09

Hence the radius of the circle is 11.09units

Answer:

36

Step-by-step explanation:

1/2 × b× h

= 1/2 × 9×8

= 9×4

= 36 sq. in

Answer:

Step-by-step explanation:

It looks like every time the coefficient increases by 3 while the exponent increases by 1.

[tex]\\45\\\sum 3(n+1)x^{n}\\n = 0[/tex]

Notice it starts at zero so 3 is multiplied by (x+1) to make it start from 0

The exponent is simply n, because at the start is it zero [tex]x^0=1[/tex], then 1, then 2, so on.

The upper limit is 45 because 45 - 0 = 45 terms

Answer:

10 years

Step-by-step explanation:

let age of the boy x , and let age of his dad y

x - y = 26

y + 3 = (x+3) / 3

x - 26 = (x+3) / 3

3x - 69 = x + 3

2x = 72

x = 26, y = 10

Answer:

This student's GPA is 3.04.

Step-by-step explanation:

Student's GPA:

To find the students GPA, we find the sum of the multiplication of each numerical grade(A is 4, A- is 3.67 and so on) and the credit load of the course, divided by the number of courses.

His grades are:

4 in English worth 3 credits.

4 in Antropology worth 3 credits.

2.67 in Chemistry worth 4 credits.

2 in French worth 4 credits.

3 in Theatre worth 2 credits.

GPA:

[tex]\frac{4*3+4*3+2.67*4+2*4+3*2}{3+3+4+4+2} = 3.04[/tex]

This student's GPA is 3.04.

Answer:

3.04

Step-by-step explanation:

Answer:

120 times

Step-by-step explanation:

There are 5 people to fill the first place, 4 remaining to fill the second, 3 remaining to fill the third, 2 remaining to the fourth place and only 1 remaining to fill the fifth. That means there are 5 factorial (5!) ways. 5! = 5 x 4 x 3 x 2 x 1 = 120.

Answer:

The taxi driver's average profit per trip is 4.4.

Step-by-step explanation:

Probability of fares picked up in zone A with destinations in zone A = 0.6

Probability of fares picked up in zone A with destinations in zone B = 0.4

Probability of fares picked up in zone B with destinations in zone A = 0.3

Probability of fares picked up in zone B with destinations in zone B = 0.7

The driver's expected profit for a trip entirely in zone A = 6

The driver's expected profit for a trip entirely in zone B = 8

The driver's expected profit for a trip involving both zones is 12

The taxi driver's average profit per trip:

zone A with destinations in zone A = 0.6 * 6 =  3.6

zone A with destinations in zone B = 0.4 * 12 = 4.8

zone B with destinations in zone A = 0.3 * 12 = 3.6

zone B with destinations in zone B = 0.7 * 8 =  5.6

Total profit expected for 4 trips =                     17.6

Average profit per trip = 4.4 (17.6/4)

Answer: no

Step-by-step explanation:

when using the pythagorean theorm, the math doens't add up

16^2+30^2 does not equal 35^2

hope this helps!

9514 1404 393

Answer:

  (x +8)^2 +(y +1)^2 = 16

Step-by-step explanation:

The standard form equation for a circle with center (h, k) and radius r is ...

  (x -h)^2 + (y -k)^2 = r^2

For your center and radius, the equation is ...

  (x -(-8))^2 +(y -(-1))^2 = 4^2

  (x +8)^2 +(y +1)^2 = 16

Answer:

x-inter = (-40,0), y-inter= (0,15)

Step-by-step explanation:

the fitnessgram pacer test is an automated aerobic capacity test that progressively gets more difficult as it continues.

26+35+10+18+15+37+25+20+15/9= 22.33

Answer:

a + b - b = a

Step-by-step explanation:

Answer:

3rd one is correct

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve two challenging problems that ask you to find an arc measure using the arc ... Minor arc AB is just a portion of the complete circle P.

Answer:

Ok so I'm going to put the answer like this

1    3

2   4

1. Already answered

2. Acute, isosceles, 75

3. Right, Scalene, 97

4. Obtuse, Scalene 116

Aight onto number 2

Answer:

$135.30

Why:

Take the 112.75 and multiply it by 1.2, or in other words 120%. You get 135.3, or in a money situation, $135.30. Good luck.

Answer:

The expression with addition that shows the changes in yards on the first two downs is -(15 + 19) = -34

Step-by-step explanation:

At the first down, the net yardage of the football team was of 0.

After the first play:

Lost 15 yards, so the change in yards is:

0 - 15 = -15

After the second play:

Lost 19 yards, so the change in yards is:

-15 - 19 = -(15 + 19) = -34

The expression with addition that shows the changes in yards on the first two downs is -(15 + 19) = -34

Answer:

B) -40

C)22

D)-11

Step-by-step explanation:

a) 60

b) -40

c) 22

d) -11

hope it helps :D

Answer:

Answer:

-7

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

radius = 3mm

diameter = 6mm

circumference = 6 x 3,14 = 18.84 mm

area = 3^2 x 3,14 = 28.26 mm^2

Answer:

a) P(Z > 1.09) = 0.1379

b) P(Z < -0.22) = 0.4129.

c) P(Z < -1.96) = 0.025, P(Z > -1.96) = 0.025

d) Z = 1.4

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. P(Z > 1.09)

This is 1 subtracted by the pvalue of Z = 1.09.

Z = 1.09 has a pvalue of 0.8621

1 - 0.8621 = 0.1379, so

P(Z > 1.09) = 0.1379

b. P(Z < -0.22)

This is the pvalue of Z = -0.22.

Z = -0.22 has a pvalue of 0.4129. So

P(Z < -0.22) = 0.4129.

c) P(Z < -1.96) or P(Z > -1.96)

Z = -1.96 has a pvalue of 0.025. So

1 - 0.025 = 0.975

P(Z < -1.96) = 0.025

P(Z > -1.96) = 0.025

d. What is the value of Z if only 8.08% of all possible Z-values are larger?

Z with a pvalue of 100 - 8.08 = 91.92 = 0.9192, so Z = 1.4

a^2 + b^2 = c^2

Let c = hypotenuse = 2x

One of the legs = x. Let a or b = x.

I will let a = x. We can then say that b = 3.

3^2 + x^2 = (2x)^2

9 + x^2 = 4x^2

9 = 4x^2 - x^2

9 = 2x^2

9/2 = x^2

sqrt{9/2} = sqrt{x^2}

3/sqrt{2} = x

Rational denominator.

[3•sqrt{2}]/2 = x = a

Side 3 is given to be 3 feet. So, b = 3.

Hypotenuse = 2x

Hypotenuse = 2([3•sqrt{2}]/2)

Hypotenuse = 3•sqrt{2}

Understand?

The three sides are 3, [3•sqrt{2}]/2 and

3•sqrt{2}.

Answer:

[tex]2\sqrt{1.86}[/tex] = 0.95  [tex]2\sqrt{0.95}[/tex]= 0.485 --> (hundredth) 0.49

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

1 minute and 22 seconds

Answer:

its

A : Increase the sample size.

E : Decrease the confidence level.

Step-by-step explanation:

Answer:

40 students in each bus.

Step-by-step explanation:

Subtract the 8 extra students from the total to get the total number of students who rode in buses. Then divide that total by 6.

248-8=240

240/6=40

40 students in each bus.

Answer:

0.60 more

Step-by-step explanation:

Sandwich: 1.25

Milkshake: 0.65

We need to find the difference between the 2

1.25 - 0.65 = 0.6

A sandwich costs 60 cents MORE than a milkshake