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3 years ago

-5.23-9.3= what idk what

Mathematics

1 answer:

kkurt [141]3 years ago

6 0

Answer:

-14.53

Step-by-step explanation:

-5.23-9.3=-14.53 it's a negative plus a negative

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There are 9 students in a class: 2 boys and 7 girls. If the teacher picks a group of 4 at random, what is the probability that e

notsponge [240]

Answer:

<h2>28% probability that every student in the group is a girl.</h2>

Step-by-step explanation:

In this problem we have independent events, that is, the event "picking a girl" doesn't affect an "picking a boy", also, picking picking a girl doesn't affect the probability of the other subjects.

So, the probability when the first girl is being picked is:

$P_{1}=\frac{7 \ girls}{9 \ students}$

Because among the total 9 students, there are 7 girls.

Now, after picking one girl, there remains 6 girls and 8 students to be picked. So, the probability of the second girl would be:

$P_{2}=\frac{6 \ girls}{8 \ students}$

Then, the probability of the third girl:

$P_{3}=\frac{5 \ girls}{7 \ students}$

The fourth girl probability:

$P_{3}=\frac{4 \ girls}{6 \ students}$

Therefore, the probability of picking all 4 girls would be the product of each probability, because events are independent (we use product when they are independent):

$P=\frac{7 \ girls}{9 \ students} \times \frac{6 \ girls}{8 \ students} \times \frac{5 \ girls}{7 \ students} \times \frac{4 \ girls}{6 \ students}\\P=\frac{5}{18}=0.28 \ (or \ 28\%)$

Therefore, there's 28% probability that every student in the group is a girl.

5 0

3 years ago

Proving the Congruent Supplements Theorem

AleksandrR [38]

Answer:

Congruent Supplements Theorem : If two angles are supplements of the same angles (or of congruent angles), then the two angles are congruent.

4 0

3 years ago

Read 2 more answers

Which of the following are solutions to -2.7 + x = -3.5?

algol [13]

Answer:

-3.5+27

Step-by-step explanation:

-2.7+x=-3.5

x=-3.5-(-2.5)

x=-3.5+2.5

x=2.0

4 0

3 years ago

yolanda had 47 customers on saturday from 6pm to 7pm on monday from 5 pm to 6 pm she had 20 customers what is the amount of perc

rusak2 [61]

Yolanda had 47 customers on Saturday from 6 to 7 pm. Then on Monday she only had 20 customers from 5pm to 6pm. Question: Let’s find how much percentage rate did Yolanda’s customer’s decreased over time. Solution => Saturday = 47 customers. => Monday = 20 customer. Let’s start solcing => 47 – 20 = 27 There are 27 customer that were lost over time. => 27 / 47 = 0.57 * 100 = 57% Let’s try checking our answer: => 47 * .57 = 26.79 or round off to 27, since we rounded off also our percentage.

8 0

3 years ago

A mass of 5 kg stretches a spring 10 cm. The mass is acted on by an external force of 10sin( t ) N(newtons) and moves in a mediu

yKpoI14uk [10]

Answer:

A) C1 = 0.00187 m = 0.187 cm, C2 = 0.0062 m = 0.62 cm

B) A sample of how the graph looks like is attached below ( periodic sine wave )

C) w = $\sqrt[4]{3}$ is when the amplitude of the forced response is maximum

Step-by-step explanation:

Given data :

mass = 5kg

length of spring = 10 cm = 0.1 m

f(t) = 10sin(t) N

viscous force = 2 N

speed of mass = 4 cm/s = 0.04 m/s

initial velocity = 3 cm/s = 0.03 m/s

Formulating initial value problem

y = viscous force / speed = 2 N / 0.04 m/s = 50 N sec/m

spring constant = mg/ Length of spring = (5 * 9.8) / 0.1 = 490 N/m

f(t) = 10sin(t/2) N

using the initial conditions of u(0) = 0 m and u"(0) = 0.03 m/s to express the equation of motion

the equation of motion = 5u" + 50u' + 490u = 10sin(t/2)

A) finding the solution of the initial value

attached below is the solution and

B) attached is a periodic sine wave replica of how the grapgh of the steady state solution looks like

C attached below

3 0

4 years ago