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3 years ago

MARKING BRAINLIESTTT!!! PLUS 30PTS EARNED!! HELP ASAPP PLZZZ!!!!

Mathematics

1 answer:

Elza [17]3 years ago

7 0

Answer:

1. 9 < s < 17

2. 5 < MN < 19

3. AD > BD

Step-by-step explanation:

1. The triangle inequality tells you the sum of any two sides of a triangle must exceed the length of the other side. (Some versions say, "must be not less than ..." rather than "must exceed.") In practice, this means two things:

the sum of the shortest two sides is greater than the length of the longest side
the length of any side lies between the sum and the difference of the other two sides

Here, we can use the latter fact to write the desired inequality. The difference of the given sides is 13 -4 = 9; their sum is 13 +4 = 17. The third side must lie between 9 and 17. If that side length is designated "s", then ...

9 < s < 17

(If you don't mind a "triangle" that looks like a line segment, you can use ≤ instead of <.)

2. Same as (1) using different numbers.

12 -7 < MN < 12 +7

5 < MN < 19

3. Side CD is congruent to itself, and side CA is shown congruent to side CB. This means the requirements of the Hinge Theorem are met. That theorem tells you the longer side is opposite the greater angle:

AD > BD

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Suppose a particular type of cancer has a 0.9% incidence rate. Let D be the event that a person has this type of cancer, therefo

natita [175]

Answer:

There is a 12.13% probability that the person actually does have cancer.

Step-by-step explanation:

We have these following probabilities.

A 0.9% probability of a person having cancer

A 99.1% probability of a person not having cancer.

If a person has cancer, she has a 91% probability of being diagnosticated.

If a person does not have cancer, she has a 6% probability of being diagnosticated.

The question can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem we have the following question

What is the probability that the person has cancer, given that she was diagnosticated?

P(B) is the probability of the person having cancer, so $P(B) = 0.009$

P(A/B) is the probability that the person being diagnosticated, given that she has cancer. So $P(A/B) = 0.91$

P(A) is the probability of the person being diagnosticated. If she has cancer, there is a 91% probability that she was diagnosticard. There is also a 6% probability of a person without cancer being diagnosticated. So

$P(A) = 0.009*0.91 + 0.06*0.991 = 0.06765$

What is the probability that the person actually does have cancer?

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.91*0.009}{0.0675} = 0.1213$

There is a 12.13% probability that the person actually does have cancer.

3 0

3 years ago

Wilma is twice as old as Jamal, and Jamal is 3 years older than Tim. The sum of all their ages is 17.

oee [108]

<span>If x = Jamal's age , 2x = Wilma's age , x - 3 = Tim's age.
The sum of the ages is 17.
Jamal's age is 5
Wilma's age is 10
Tim's age is 2

Hope this helps!</span>

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3 years ago

Louis bought a giant sub sandwich for the party. He wants to cut into 6-inch sections. If the sandwich is 18.25 feet, how many s

Lynna [10]

36.5
He’d have 36, 6 in sandwiches and a 3 inch section left
Explanation:
Take 18.25 and multiply by 12 which gives you 219. The amount of inches in the sandwich. Then divide 219 by 6 and you get 36.5

5 0

2 years ago

Critérios de divisibilidade dos números 2,3,4,5,6,8 e 10

san4es73 [151]

Step-by-step explanation:

Los criterios de divisibilidad nos ayudan a saber de antemano cuándo un número natural es divisible por otro.

Ser divisible significa que cuando dividimos estos números, el resultado será un número natural y el resto será igual a cero.

Presentaremos los criterios de divisibilidad por 2, 3, 4, 5, 6, 7, 8, 9 y 10.

Divisibilidad por 2

Cada número cuyo dígito unitario sea par será divisible por 2, es decir, los números que terminan en 0, 2, 4, 6 y 8.

Ejemplo

El número 438 es divisible por 2 ya que termina en 8, que es un número par.

Divisibilidad por 3

Un número es divisible por 3 cuando la suma de sus dígitos es un número divisible por 3.

Ejemplo

Verifica que los números 65283 y 91277 sean divisibles por 3.

Solución

Sumando los dígitos de los números indicados, tenemos:

6 + 5 + 2 + 8 + 3 = 24

9 + 1 + 2 + 7 + 7 = 26

Dado que 24 es un número divisible por 3 (8. 3 = 24), entonces 65283 es divisible por 3. El número 26 no es divisible por 3, por lo que 91277 tampoco es divisible por 3.

Divisibilidad por 4

Para que un número sea divisible entre 4, sus dos últimos dígitos deben ser 00 o divisibles entre 4.

Ejemplo

¿Cuál de las siguientes opciones tiene un número que no es divisible por 4?

a) 35748

b) 20500

) 97235 d) 70832

Solución

Para responder a la pregunta, verifiquemos los dos últimos dígitos de cada opción:

a) 48 es divisible por 4 (12. 4 = 48).

b) 00 es divisible por 4.

c) 35 no es divisible por 4, ya que no hay un número natural que multiplicado por 4 sea igual a 35.

d) 32 es divisible por 4 (8.4 = 32)

Entonces la respuesta es la letra c. El número 97235 no es divisible por 4. S

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2 years ago

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nordsb [41]

Answer: multiple them all together or add them

Step-by-step explanation:

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2 years ago