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rusak2 [61]
3 years ago
13

A table is on sale for 464 , which is 36% less than the regular price.

Mathematics
1 answer:
viva [34]3 years ago
3 0
The original price was 725.
Explanation:
"36% less than" means taking 36% away from 100%. 100-36 is 64, so 64% remains when 36% is taken away. So, 64% of the original table's price is 464.
So, if the original price was x, 464=0.64x
Solve this by dividing both sides by 0,64:
725=x
So, the original price was 725.
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Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker
LuckyWell [14K]

Answer:

Probability that the student scored between 455 and 573 on the exam is 0.38292.

Step-by-step explanation:

We are given that Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118.

<u><em>Let X = Math scores on the SAT exam</em></u>

So, X ~ Normal(\mu=514,\sigma^{2} =118^{2})

The z score probability distribution for normal distribution is given by;

                              Z  =  \frac{X-\mu}{\sigma} ~  N(0,1)

where, \mu = population mean score = 514

           \sigma = standard deviation = 118

Now, the probability that the student scored between 455 and 573 on the exam is given by = P(455 < X < 573)

       P(455 < X < 573) = P(X < 573) - P(X \leq 455)

       P(X < 573) = P( \frac{X-\mu}{\sigma} < \frac{573-514}{118} ) = P(Z < 0.50) = 0.69146

       P(X \leq 2.9) = P( \frac{X-\mu}{\sigma} \leq \frac{455-514}{118} ) = P(Z \leq -0.50) = 1 - P(Z < 0.50)

                                                         = 1 - 0.69146 = 0.30854

<em>The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.69146.</em>

Therefore, P(455 < X < 573) = 0.69146 - 0.30854 = <u>0.38292</u>

Hence, probability that the student scored between 455 and 573 on the exam is 0.38292.

7 0
3 years ago
Which function is represented by the graph?
Ksju [112]

Answer

a. f(x) = −2|x| + 1

6 0
2 years ago
Which of the following is NOT an integer? A. 8/2 B. 1/4 C. 0 D. -5​
vovangra [49]

Answer:

B. 1/4

Step-by-step explanation:

Even though A is a fraction it is also an integer (4)

6 0
2 years ago
The measure of an angle is 78.7°. What is the measure of its complementary angle
anyanavicka [17]

Answer:

Step-by-step explanation:

in complementary angle, the sum of two angle is always 90 degree.

let another angle be x

x+78.7=90

x=90-78.7

x=11.3

therefore anothere angle is 11.3 degree.

7 0
2 years ago
Un medico receta a un paciente tomar una pastilla cada 6 horas y un jarabe cada 8 horas. Si
Xelga [282]

Queremos ver cuando será la proxima vez que una persona <u>tome dos medicamentos al mismo tiempo</u> dado que los toma en intervalos regulares.

Veremos que luego de 24 horas el paciente volvera a tomar ambos medicamentos juntos.

Sabemos que el paciente toma una pastilla cada 6 horas y un jarabe cada 8 horas.

El paciente volvera a tomar ambos medicamentos juntos en el primer multiplo comun de 6 y 8.

Para encontrarlo podemos simplemente escribir los multiplos de cada uno y ver cual es el primero que aparece para ambos números:

6*1 = 6

6*2 = 12

6*3 = 18

6*4 = 24

y

8*1 = 8

8*2 = 16

8*3 = 24

Podemos ver que 24 es un multiplo comun (el primero) de 6 y 8.

Esto significa que luego de 24 horas el paciente volvera a tomar ambos medicamentos juntos.

Sí quieres aprender más, puedes leer:

brainly.com/question/21476724

3 0
3 years ago
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