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NeTakaya
3 years ago
14

Every person in a certain group is either a Dodgers fan or a Yankees fan, but not both. The ratio of Yankees fans to Dodgers fan

s is 5 to 3. If 22 Yankees fans change teams to become Dodgers fans, the ratio of Dodgers fans to Yankees fans will be 1 to 1. How many people are in the group?A) 22B) 88C) 128D) 144E) 176
Mathematics
1 answer:
Deffense [45]3 years ago
7 0

Answer:

  E)  176

Step-by-step explanation:

The difference in ratio units is 5 -3 = 2. If one ratio unit changes sides, the ratio will be 4 : 4, or 1 : 1. Then one ratio unit represents 22 group members.

There are a total of 5+3 = 8 ratio units, so there are ...

  8 × 22 = 176

people in the group.

_____

<em>Check</em>

The original group has 5 × 22 = 110 Yankees fans and 3 × 22 = 66 Dodgers fans, for a total of 110+66 = 176 group members. If 22 switch sides, there will be 110-22 = 88 Yankees fans and 66+22 = 88 Dodgers fans, making the ratio ...

  88 : 88 = 1 : 1

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KIM [24]

Answer:

Paso 1:

Encuentra el área del patio trasero

Dado eso, el patio trasero mide 24 por 30 metros.

Área = largo x ancho

Área = 24 x 30 = 720

Por lo tanto, el área del patio trasero es de 720 metros cuadrados.

Paso 2:

Dado que el área de césped = 368 metros cuadrados

Luego, área de jardín = área de patio trasero - área de césped

área del jardín = 720 - 368

área de jardín = 352 metros cuadrados

Paso 3:

Encuentra las dimensiones del jardín

Sea "x" el ancho de la franja de césped

Entonces, las dimensiones del jardín son:

Longitud del jardín = 24 - 2x

Ancho del jardín = 30 - 2x

Luego,

área del jardín = (24 - 2x) (30 - 2x)



Factoriza el lado izquierdo

(x - 23) (x - 4) = 0

Por propiedad de factor cero,

x = 23 o x = 4

La solución x = 23 hace que las dimensiones del jardín sean negativas, por lo que la rechazamos

5 0
4 years ago
When finding the margin of error for the mean of a normally distributed population from a sample, what is Alpha, assuming a conf
MArishka [77]

The value of alpha is 0.26, assuming a confidence level of 74%.

<h3>What is the margin of error?</h3>

The significance level α is the probability of making the wrong decision when the null hypothesis is true.

Alpha levels which is also called as significance levels are used in hypothesis tests.

Given

When finding the margin of error for the mean of a normally distributed population from a sample.

The confidence interval = 74% = 0.74.

The value of the alpha is given by;

\rm \alpha =1- Confidence \ interval

Substitute all the values in the formula

\rm \alpha =1- Confidence \ interval\\\\\alpha=1-0.74\\\\\alpha=0.26

Hence, the value of alpha is 0.26, assuming a confidence level of 74%.

To know more about confidence interval click the link given below.

brainly.com/question/26725727

8 0
3 years ago
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pogonyaev

Answer:

x = -7

Step-by-step explanation:

2x+6 = x-1

add -6 to both sides

2x = x-7

add -x to both sides

x = -7

6 0
3 years ago
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Answer:

The answer is 2

Step-by-step explanation:

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4 0
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