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2 years ago

Factor tree 50 and 75 math

Mathematics

1 answer:

olga55 [171]2 years ago

6 0

Answer:

2 x 25 (50)

3 x 25 (75)

Step-by-step explanation:

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Priya's cat weighs 5 1/2 pounds and her dog weighs 8 1/4 pounds.

Lilit [14]

Answer: The cat is 2/3 times as heavy as the dog.

Step-by-step explanation:

The weight of Priya's cat = $5\frac{1}{2}\ pounds$

Now, $5\frac{1}{2}=\frac{11}{2}\ pounds$

The weight of her dog = $8\frac{1}{4}\ pounds$

$8\frac{1}{4}=\frac{33}{4}\ pounds$

Let cat is n times heavy as dog.

Then $n=\text{cat's weight}\div\text{dog's weight}$

$n=\frac{{11}{2}\div\frac{33}{4}\\\Rightarrow\ n=\frac{11}{2}\times\frac{4}{33}\\\Rightarrow\ n=\frac{2}{3}$

Hence, The cat is 2/3 times as heavy as the dog.

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2 years ago

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tatiyna

Answer:

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Step-by-step explanation:

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A city hosted a music festival that included three concerts. According to the sales database, 28% of the audience attended the f

Vitek1552 [10]

Answer:

$P(X\cap Y\cap Z)=0.05$

Step-by-step explanation:

From the question we are told that:

Percentage of audience in first concert $P(X)=0.28$

Percentage of audience in second concert $P(Y)=0.42$

Percentage of audience in third concert $P(Z)=0.30$

Audience Percentage at at-least one concert $P(X \cup Y \cup Z)=0.80$

Percentage of audience at first & second concert $P(X \cap Y)=0.10$

Percentage of audience in first & third concert $P(X \cap Z)=0.08$

Percentage of audience in second & third concert $P(Y\cap Z)=0.07$

Generally the equation for probability of attending all concerts $P(X\cap Y\cap Z)$ is mathematically given by

$P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)$

$P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)$

$P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70$

$P(X\cap Y\cap Z)=0.05$

Therefore the probability that a randomly selected audient attended all the concerts

$P(X\cap Y\cap Z)=0.05$

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The graph shows the relationship between the total cost and the number of erasers bought at the student store. Which statement i

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