Someone please help! I have spent lots of time on this and I’m still confused

Answer:

5sqrt2

Step-by-step explanation:

Using the pythagorean theorem, we get 5^2+5^2=c^2. C is the diagonal here. 25+25=c^2, c^2=50. c=sqrt50. Simplifying it, we get the diagonal as 5sqrt2.

Answer:

0.1269 = 12.69% probability that the entire batch will be rejected.

Step-by-step explanation:

CD's are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

4500 CDs, which means that [tex]N = 5000[/tex]

150 defective, which means that [tex]k = 150[/tex]

4 are selected, which means that [tex]n = 4[/tex]

What is the probability that the entire batch will be rejected?

At least 1 defective, which is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,4500,4,150) = \frac{C_{150,0}*C_{4350,4}}{C_{4500,4}} = 0.8731[/tex]

So

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8731 = 0.1269[/tex]

0.1269 = 12.69% probability that the entire batch will be rejected.

[tex]\sin(66) = \frac{49}{x} \\ 0.913 = \frac{49}{x} \\ x = 53.6 \\ x = 54[/tex]

The missing side is 53.6 units for the given right triangle.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the question, as shown.

The ratio of the length of the side opposite the angle to the length of the hypotenuse of the triangle. The sine function is denoted by the symbol "sin" and is defined as follows:

sin(θ) = opposite / hypotenuse

Here, θ = 66°

Using the sine ratio in the given triangle, we get

sin 66° = perdenicular/hypertanuas

Substitute the known values in the above ratio,

sin 66° = 49/x

x = 49/sin 66°

x = 53.63717

Rounded to the nearest tenth,

x ≈ 53.6

Thus, the missing side is 53.6 units for the given right triangle.

Learn more about the right triangle here:

https://brainly.com/question/11899922

#SPJ7

Answer:

27

Step-by-step explanation:

The centroid divide a median in two parts, with ratio 1/3 and 2/3.

In particular the part between the centroid and the point where the median touches the side is 1/3 of the median.

We can build this proportion:

ST : 1/3 = IT : 3/3

9 : 1/3 = IT : 1

IT = 9 * 3 = 27

Answer:

2.5%

Step-by-step explanation:

Given :

Mean, μ = 190

Standard deviation, σ = 30

Probability that more than 250 books are borrowed ;

x = 250

P(Z > z)

Z = (x - μ) / σ

P[Z > (x - μ) / σ] = P[Z > (250 - 190) / 30]

P(Z > z) = P(Z > 2)

P(Z > 2) = 1 - P(Z < 2) = 1 - 0.97725

P(Z > 2) = 1 - P(Z < 2) = 0.02275

(0.02275 * 100)% = 2.275%

2.5% is closest to 2.275%

Answer:

S.I = $1,608,000

Step-by-step explanation:

Given the following data;

To find the simple interest, we would use the formula;

S.I = PRT

Where;

Since the interest is being paid every two months (six times a year), the 4% interest will be divided by 6.

Thus: 4% every two months = [tex] 4 * \frac {2}{12} [/tex] = [tex] \frac {8}{12} [/tex]  = 0.67% = 0.0067

4 years = 4 * 6 = 24 two-month years.

Substituting the values into the formula, we have;

S.I = 10.000.000 * 0.0067 * 24

S.I = $1,608,000

Answer:

12. x=40

Step-by-step explanation:

x+60=100(sum of two opposite interior angles of a triangle equals to exterior)

x=40

Answer:

a) X( w ) = 1 /jw -   e^-jw / jw

b) X1(t) = 1  for  0.5  

   X1(t) = 0 for elsewhere

Step-by-step explanation:

x(t) continuous time function = 1

interval ( 0,1 )   also x(t) = 0 outside the given interval

a) Determine the continuous time Fourier transformation of x(t)

x( t ) = u(t) - u(t - 1 )

x ( w ) = 1 /jw -   e^-jw / jw

b) supposing x1(t) = x(2t)

x1(t) = u(t) - u ( t - 0.5 )

x1(t) = 1  for  0.5  

x1(t) = 0 for elsewhere

Answer:

2  addition

4 multiplication

Step-by-step explanation:

In step 2 we are adding 6 to each side so we use the  addition property of equality

In step 4 we are multiplying by -2 on each side so we use the multiplication property of equality

Answer:

2- addition

4- mult.

Step-by-step explanation:

Answer:

.574

Step-by-step explanation:

This can be inputted in a calculator to achieve .57357643

To three decimal places that is .574

Cos(angle) = adjacent leg/ hypotenuse

Cos(61) = x/19

X = 19 * cos(61)

X = 9.2114

Rounded to the nearest tenth = 9.2

Answer:

x = 44.8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 48 = 30/x

x cos 48 = 30

x = 30 / cos 48

x=44.83429

Rounding to the nearest tenth

x = 44.8

Answer:

I say the second option is your answer

Answer:

You are good on it

Step-by-step explanation:

Woplor

Answer:

b) 94

Step-by-step explanation:

The Total Degree of a Triangle is 180 degrees. Knowing this, set up an equation.

68+26+x=180.

x is the complementary angle of the "?" angle.

Solve the equation.

94+x=180

x=86

Then Subtract 86 from 180 to find "?"

180-86=94

I hope this helps!

Answer:

94;b

Step-by-step explanation:

68+26=94. 180-94=86. 180-86=94.

Answer:

4x^2 +2x +1

Step-by-step explanation:

(4x^3 -14x^2 -7x-4) / (x-4)

Using synthetic division

Bringing  down the 4  and multiplying  and adding

4      4   -14  -7  -4

       ↓   16   8   4

-------------------------------

      4     2    1   0

The quotient is  4x^2 +2x +1  and the remainder is 0

Answer:

[tex] {4x}^{2} + 2x + 1[/tex]

Step-by-step explanation:

the most handy way to solve the question is Polynomial long division which is done below:

[tex] \begin{array}{ccc} \qquad {4x}^{2} + 2x + 1 \\ \hline x - 4 \Bigg)4 {x}^{3} - {14x}^{2} - 7x - 4 \\ - {4x}^{3} + 16 {x}^{2} \\ \hline \qquad \qquad \qquad {2x}^{2} - 7x - 4 \\ \qquad \qquad- {2x}^{2} + 8x \\ \hline \qquad \qquad \qquad \qquad \qquad x - 4 \\ \qquad \qquad \qquad \qquad \qquad - x + 4 \\ \hline\qquad \qquad \qquad \qquad \qquad0 \end{array}[/tex]

since our remainder is 0 we'll put the answer in P(x) form only

note: please see the answer in the brainly app for a better view

Answer:

$95.52

Step-by-step explanation:

Number of robots = 3

Cost of each robots = $398

Tax rate = 8%

Amount of tax of each robots = 8% of $398

= 8/100 × $398

= 0.08 × $398

= $31.84

TOTAL TAX to be paid = Amount of tax of each robots × Number of robots

= $31.84 × 3

= $95.52

TOTAL TAX to be paid = $95.52

Answer:

Definition of Bisect

Step-by-step explanation:

By definition, when two lines bisect each other, they divide each other into two equal segments.

In statement 2, we see that PO and ON are being labelled as congruent, which is referring back to the given information that MQ bisects PN. Since PO and ON are the two segments bisected by MQ, the two must be congruent simply from the definition of bisect.

Given

A rectangular park of length 60 m breadth 50 m encloses with volleyball court of length 18 m and breadth 10 m.

To find:

The area of the park excluding the court at the rate of Rs 110 per square meter.​

Solution:

Area of a rectangle is:

[tex]Area=length \times breadth[/tex]

Area of whole park is:

[tex]A_1=60 \times 50[/tex]

[tex]A_1=3000[/tex]

Area of volleyball court is:

[tex]A_2=18 \times 10[/tex]

[tex]A_2=180[/tex]

Now, the area of the park excluding the court is:

[tex]A=A_1-A_2[/tex]

[tex]A=3000-180[/tex]

[tex]A=2820[/tex]

Therefore, the area of the park excluding the court is 2820 square meter.

Answer:

45:13/36

46:86/63

47:19/42

48:9/10

49:1/12

Answer:

1625

6500 * .5 * .5 =

6500 * .25 = 1625

Step-by-step explanation:

Answer:

g(x) = (x-12)^2

Step-by-step explanation:

f(x) = x^2

Shifting to theright is of the form

f (x – b) shifts the function b units to the right.

g(x) = (x-12)^2

Step-by-step explanation:

3x+27-7-0=3x+20

gradient=3

y=mx+c

4=3(-1)+c

4+3=7

c=7

y=3x+7

Answer:

B: Subtraction property of equality

Answer:

R0, 90°

R0, –270

Step-by-step explanation:

Answer:

A, E

Step-by-step explanation:

Answer:

a=3 and b=-2

Step-by-step explanation:

We are given that five  terms of a quadratic sequence are

1 8, 21, 40, 65.

The nth term of this sequence

=[tex]an^2+bn[/tex]

We have to find the value of a and b where a and b are integers.

For n=1

[tex]a+b=1[/tex]   ......(1)

For n=2

[tex](2)^2a+2b=8[/tex]

[tex]4a+2b=8[/tex]

[tex]2a+b=4[/tex]   .....(2)

Subtract equation (1) from (2) we get

[tex]2a-a=4-1=3[/tex]

[tex]a=3[/tex]

Using the value of a=3 in equation (1)

[tex]3+b=1[/tex]

[tex]b=1-3=-2[/tex]

Hence, the value of

a=3 and b=-2

Answer:

Answer is in the picture.

Answer:

It's a square with four equal sides each side is 6cm. The angles at the four edges are all same have 90° between each two sides. You can calculate the area of the four triangles by using the formula 1/2 × hight × base. The hight will be 6 divided by 2 which is equal 3cm, and the base will be 6cm. So the area of each triangle is 1/2×3×6=9cm^2.