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8090 [49]
2 years ago
7

Consider the ratio of 153 per 108. Write this ratio in different forms below. A ratio written as a reduced fraction: ____ A rati

on written as a decimal rounded to the hundredths: ___
Mathematics
1 answer:
Step2247 [10]2 years ago
7 0

Answer:

<h2>17/12 and 1.42</h2>

Step-by-step explanation:

Ratios can be used to compare values and also can be written  in various forms.

Given the following example

the ratio of 153 per 108.

153:108

A. this ratio can expressed in the reduced fraction as

dividing both the numerator and the denominator by a common factor of 3 will give

=153/108 = 51/36

we can further divide by a common factor of 3 to further reduce the ratio

= 51/36= 17/12

hence the ratio expressed as a reduced fraction is 17/12

B.  ration written as a decimal rounded to the hundredths:

A ratio written as a decimal rounded to the hundredths:

to express the ratio as a decimal we have to divide the numerator by the value of the denominator i.e 153/108= 1.4166

to the nearest hundredth we have 1

1.42

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Para ingresar a la Universidad del Chocó se aplica una prueba de razonamiento que consta de 30 preguntas. Por cada respuesta cor
s2008m [1.1K]

Complete question:

Para ingresar a la Universidad del Chocó se aplica una prueba de razonamiento que consta de 30 preguntas. Por cada respuesta correcta se asignan 5 puntos y por cada incorrecta (o no contestada) se restan 2 puntos. Si un participante obtuvo un puntaje de 94 puntos, ¿cuantas preguntas respondió bien?

Responder:

número de respuestas correctas = 22

Explicación paso a paso:

Dado lo siguiente:

Número total de preguntas = 30

Deje respuestas correctas = y; Respuestas incorrectas = n

Marca otorgada por y = 5

Marca deducida por n = 2

Si el total de preguntas = 30; luego

y + n = 30 - - - - (1)

Puntuación total obtenida = 94; luego

5y - 2n = 94 - - - (2)

De 1),

y + n = 30

y = 30 - n

Sustituya y = 30 - n en equ (2)

5 (30 - n) - 2n = 94

150 - 5n - 2n = 94

150 - 7n = 94

-7n = 94-150

-7n = - 56

n = 56/7

n = 8

Sustituir n = 8 en (1)

y + n = 30

y + 8 = 30

y = 30 - 8

y = 22

y = número de respuestas correctas = 22

n = número de respuestas incorrectas = 8

3 0
2 years ago
While at a carnival, Andrew comes across a game that involves rolling a die. According to the game's rules, if the number rolled
Reptile [31]

Answer:

he can expect to lose 0.5$

Step-by-step explanation:

To solve this problem we must calculate the expected value of the game.

If x is a discrete random variable that represents the gain obtained when rolling a dice, then the expected value E is:

E =\sum xP (x)

When throwing a dice the possible values are:

x: 1→ -$9;  2→ $4;  3→ -$9;  4→ $8;  5→ -$9;  6→ $12

The probability of obtaining any of these numbers is:

p=\frac{1}{6}

The gain when obtaining an even number is twice the number.

The loss to get an odd number is $ 9

So the expected gain is:

E=-9*\frac{1}{6}-9*\frac{1}{6}-9*\frac{1}{6} + 4*\frac{1}{6} + 8*\frac{1}{6} + 12*\frac{1}{6}\\\\E =-27*\frac{1}{6} + 24*\frac{1}{6}\\\\E=-3*\frac{1}{6}\\\\E=-$0.5

4 0
2 years ago
A Table showing Freezing Temperatures in degrees with 2 columns and 6 rows. The First row, F, has the entries, negative 13, nega
Yuki888 [10]

Answer:

5F + -9  C= 160       39°F = 3.9

Step-by-step explanation:

A Table showing Freezing Temperatures in degrees with 2 columns and 6 rows. The First row, F, has the entries, negative 13, negative 4, 5, 14, 23. The second column, C, has the entries, negative 25, negative 20, negative 15, negative 10, negative 5.

The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.

5F + -9 C = 160

39°F = 3.9°C rounded to the nearest tenth of a degree

9 0
2 years ago
Read 2 more answers
Suppose that you want to estimate the mean pH of rainfalls in an area that suffers from heavy pollution due to the discharge of
labwork [276]

Answer:

The  number of rainfalls is n  =96

The answer to the second question is  no it will not be valid this because from the question we are told that the experiment require one pH reading per rainfall so getting multiply specimens(used for the  pH reading) from  one rainfall will make the experiment invalid.

Step-by-step explanation:

from the question we are told that

    The  standard deviation is  \sigma  =  0.5

     The  margin of error is  E  =  0.1

Given that the confidence level is  95%  then we can evaluate the level of significance as

                  \alpha  =  100 -  95

                  \alpha  =  5 \%

                 \alpha  =0.05

Next we will obtain the critical value of \frac{\alpha }{2} from the normal distribution table , the value is  Z_{\frac{\alpha }{2} } =  1.96

Generally the sample size is mathematically represented as

           n  =  [\frac{Z_{\frac{\alpha }{2} *  \sigma }}{ E} ]^2

substituting values

             n  =  [\frac{1.96 * 0.5 }{ 0.1} ]^2

            n  =96

The answer to the second question is  no the validity is null this because from the question we are told that the experiment require  one pH reading per rainfall so getting multiply specimens(used for the  pH reading) from  one rainfall will make the experiment invalid

5 0
2 years ago
A men's softball league is experimenting with a yellow baseball that is easier to see during night games. One way to judge the e
sergiy2304 [10]

Answer:

There cannot be equal errors in both and yellow has fewer errors.

Step-by-step explanation:

we can do paired t test for these two colours

H_0: \bar = \bar y\\H_a: \bar <  \bar y\\

(one tailed test)

df = 9

The data can be tabulated as follows:

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5 7

2 6

6 8

7 5

2 9

5 11

3 8

8 3

4 6

9 10

t-Test: Paired Two Sample for Means  

 

Yellow white

Mean 5.1 7.3

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Observations 10 10

Pearson Correlation -0.139051655  

Hypothesized Mean Difference 0  

df 9  

t Stat -1.908439275  

P(T<=t) one-tail 0.044341411  

t Critical one-tail 1.833112923  

P(T<=t) two-tail 0.088682822  

t Critical two-tail 2.262157158  

Since p value one tailed = 0.0443 and it is <0.05 our significance level, we reject null hypothesis.

There cannot be equal errors in both and yellow has fewer errors.

5 0
2 years ago
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