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2 years ago

9

Which rigid transformation would map ΔAQR to ΔAKP? a rotation about point A a reflection across the line containing AR a reflect

ion across the line containing AQ a rotation about point R

2 answers:

Jobisdone [24]2 years ago

6 0

Answer:

a rotation about point A

Step-by-step explanation:

larisa86 [58]2 years ago

6 0

Answer:

A rotation about point A

Step-by-step explanation:

just took the test:)

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Ms. Lorenz works at the grocery store she is equally likely to be assigned to work in the bakery section, the floral section, th

Taya2010 [7]

Answer:

Step-by-step explanation:I divided 4 an 20 an I got 5

6 0

2 years ago

The probability that a person in the United States has type B+ blood is 12%. Three unrelated people in the United States are s

V125BC [204]

Answer:

The probability that all three have type B+ blood is 0.001728

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have type B+ blood, or they do not. The probability of a person having type B+ blood is independent of any other person. So 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.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that a person in the United States has type B+ blood is 12%.

This means that $p = 0.12$

Three unrelated people in the United States are selected at random.

This means that $n = 3$

Find the probability that all three have type B+ blood.

This is P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{3,3}.(0.12)^{3}.(0.88)^{0} = 0.001728$

The probability that all three have type B+ blood is 0.001728

4 0

2 years ago

Which are the solutions of x2 = 19x + 1?

Finger [1]

Answer:

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

Step-by-step explanation:

we have

$x^2=19x+1$

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2}-19x-1=0$

so

$a=1\\b=-19\\c=-1$

substitute in the formula

$x=\frac{-(-19)\pm\sqrt{-19^{2}-4(1)(-1)}} {2(1)}$

$x=\frac{19\pm\sqrt{365}} {2}$

$x=\frac{19+\sqrt{365}} {2}$

$x=\frac{19-\sqrt{365}} {2}$

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

therefore

StartFraction 19 minus StartRoot 365 EndRoot Over 2 EndFraction comma StartFraction 19 + StartRoot 365 EndRoot Over 2 EndFraction

6 0

2 years ago

Read 2 more answers

On a coordinate plane, a rectangle has points K prime (1, 3), L prime (2, 3), M prime (2, negative 3), N prime (1, negative 3).

Sidana [21]

Answer:

M(3,2) and N(3,1)

Step-by-step explanation

trust me

7 0

2 years ago

Tell us how much you're losing in this example:

Sergio [31]

Answer:

My gain in that year is - $ 176.5

Step-by-step explanation:

I have $ 1,500 in my investment account. Rate of interest for a year in my investment account = 8.5 %.

So, the amount of money I am making on my investment in a year,

= $ $\frac {1500 \times 8.5}{100}$

= $ 127 .5

I owe $ 1600 on a credit card . Rate of interest a year on this credit card debt, = 19 % .

So, the money I am paying in interest in a year on my card,

= $ $\frac {1600 \times 19}{100}$

= $ 304

Since, neither I withdraw money from my investment account except the interest , nor I pay my whole credit card debt except the interest, so, my gain in that year,

= $ (127.5 - 304)

= - $ 176.5

So, my loss in that year is $ 176.5

7 0

2 years ago