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Mr. Lewis showed his friend part of the prime factorization of 70. Fill in the missing factor.
2 x _ x 7

Answer:

Yes he is correct!!!!!!

Answer:

x=19

Step-by-step explanation:

2x - 8 = 30

get x by itself by adding 8 to both sides

2x=38

divide by 2

x=19

Answer:

1.36

2.4

3.-11

4.2

5.-20

Answer: The correct answer is (5, 3)

Step-by-step explanation: I got it right on the exam

(5,3) will make a rhombus.

A Quadrilateral with all sides equal but with nonequal diagonals is know as Rhombus.

Let D have coordinate (x,y)

The length of all the sides of the rhombus is equal.

length of AB = [tex]\sqrt{({2-3})^2 + ({2-4})^2} = \sqrt{1+4} = \sqrt{5}[/tex]

Similarly BD = [tex]\sqrt{({3-x})^2 + ({4-y})^2} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex] -------------(1)

CD = [tex]\sqrt{({4-x})^2 + ({1-y})^2} = \sqrt{17+{x}^2+{y}^2-8x-2y}[/tex] -------------(2)

We know BD = CD gives,

[tex]\sqrt{17+{x}^2+{y}^2-8x-2y} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex]

By squaring both sides and solving we get,

3y - x = 4 ----------------------(3)

Since BCD is a right-angled triangle,

[tex]{BC}^2 = {BD}^2 + {CD}^2[/tex]  

BC = [tex]\sqrt{10}[/tex]

10 = 5 + [tex]\sqrt{17+{x}^2+{y}^2-8x-2y}[/tex]

8  = [tex]{x}^2+{y}^2-8x-2y[/tex] -------------------(4)

solving equation (3) and (4) we get x = 5 and y = 3

TO Learn more about Rhombus visit:

https://brainly.com/question/2456096

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[tex] \frac{132 }{2?} = 66[/tex]

Answer:

261?

Step-by-step explanation:

LCD = 261

Equivalent Fractions with the LCD

11/29 = 99/261

7/9 = 203/261

2/3 = 174/261

Answer:

c

Step-by-step explanation:

just did it on a.pex

Answer:

get them googel

Step-by-step explanation:

i) H = M + 52

ii) H = 25 + 52 = 77 cm

Answer: 2.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Have a great day :)

Answer:

D(0.10) + Q(0.25) = 10.45

Q = D + 25 (or Q - D = 25)

Step-by-step explanation:

D = number of dimes

Q = number of quarters

D(0.10) + Q(0.25) = 10.45

Q = D - 25 (or D - Q = 25)

We multiply the number of dimes she has by $0.10, because that is the worth of each dime, and we multiply the number of quarters she has by $0.25 because that is the worth of each quarter. We then set that equal to $10.45, the overall value of her coins.

Because she has 25 less dimes than quarters, the number of dimes she has should be 25 less than the number of quarters she has. So the number of quarters she has should be equal to the number of dimes she has plus 25.

Answer:

49c2

Step-by-step explanation:

Answer:

the probability that the shipment is accepted is 0.8865

Step-by-step explanation:

Given the data in the question;

N = 86,  n/d = 5 and n = 2

now, without replacement

the probability that the shipment is accepted will be;

probability that the shipment is accepted = probability that non is defectives

so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))            

p( non is defective ) =  ( 81 / 86) × (80/85)

p( non is defective ) =  0.8865

Therefore, the probability that the shipment is accepted is 0.8865

Answer:

x =(-8+√-32)/6=(-4+2i√ 2 )/3= -1.3333+0.9428i

Step-by-step explanation:

Answer:

$22.50

Step-by-step explanation:

3 weeks = 21 days

21 × 1 + 1.50

21 + 1.50

22.50

Answer:

Veronica's age now =8 years

Step-by-step explanation:

Veronica's age now = x years

Georgia's age now = 5x  - 7

Veronica age after 6 year = 14

x + 6  = 14

       x  = 14 - 6

       x = 8 years

Answer:

This spyware is detected 66% of times.

Step-by-step explanation:

We have these following percentages:

Seventy percent of the time the spyware arrives via the internet, and in this case is detected 60% of the time.

Thirty percent of the time the spyware arrives via e-mail, and in this case is detected 80% of the time.

What percentage of times is this spyware detected

0.7*0.6 + 0.3*0.8 = 0.66

This spyware is detected 66% of times.

Answer:

105

Step-by-step explanation:

A straight line is 180 degrees so 180-75=105

Answer:

x= 105 degrees

Step-by-step explanation:

We know that the sum of x and 75 degrees is equal to 180 degrees.

So that means that x= 180-75 or x=105 degrees

Answer:

0.3036 = 30.36% probability that at least 9 of the flashlights function properly.

Step-by-step explanation:

For each flashlight, there are only two possible outcomes. Either it works, or it does not. Flashlights are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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]

And p is the probability of X happening.

Flashlight works correctly if both its batteries have acceptable voltages:

Each battery has an 88% = 0.88 probability of working correctly(having acceptable voltage), so the probability of the flashlight working correctly is given by:

[tex]p = (0.88)^2 = 0.7744[/tex]

10 flashlights.

This means that [tex]n = 10[/tex]

What is the probability that at least 9 of the flashlights function properly?

This is

[tex]P(X \geq 9) = P(X = 9) + P(X = 10)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{10,9}(0.7744)^{9}.(0.2256)^{1} = 0.2260[/tex]

[tex]P(X = 10) = C_{10,10}(0.7744)^{10}.(0.2256)^{0} = 0.0776[/tex]

[tex]P(X \geq 9) = P(X = 9) + P(X = 10) = 0.2260 + 0.0776 = 0.3036[/tex]

0.3036 = 30.36% probability that at least 9 of the flashlights function properly.

¿Puedo conseguir la corona? y el abuelo tiene cincuenta y ocho años

Answer:

92000

Step-by-step explanation:

Answer:

92,000

Step-by-step explanation:

1 km=1000 m

So 1 km×92= 92 km

But 1000 m×92= 92,000 m

Answer:

B

Step-by-step explanation:

rahman's collection represents the 5x and Elissa's represents the singluar x. Rahman has five times as many as Elissa, 5x is five timas as big as x. this means x=20. Rahman has 5x20=100 DVDs and Elissa has just 20.

Answer:

216

Step-by-step explanation: 270-20%= 216

Answer:

80

Step-by-step explanation:

[tex]3x^2 + 2y^3[/tex] = [tex](3 * (-4))^2 + (2 * (-2))^3[/tex] = [tex](-12)^2 + (-4)^3[/tex] = [tex]144 + (-64) = 80[/tex]