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timurjin [86]
3 years ago
7

Can you do it step by step

Mathematics
1 answer:
zavuch27 [327]3 years ago
3 0
There’s no picture so I don’t know what the answer is
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Seth uses 17 linking cubes to make a model house. The model house is in the shape of a rectangle and is one cube high. How many
Masja [62]

Answer:

We conclude that  Seth can make the model of the house on 9 different ways.

Step-by-step explanation:

We know that Seth uses 17 linking cubes to make a model house. The model house is in the shape of a rectangle and is one cube high.  

We calculate how many different ways could Seth make the model of the house:

C_8^9=\frac{9!}{8!(9-1)!}=9

We conclude that  Seth can make the model of the house on 9 different ways.

8 0
3 years ago
Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypot
Nina [5.8K]

Answer: a. 0.1031; fail to reject the null hypothesis

Step-by-step explanation:

Given: Significance level : \alpha=0.05

The test statistic in a two-tailed test is z = -1.63.

The P-value for two-tailed test : 2P(Z>|z|)=2P(Z>|-1.63|)=0.1031 [By p-value table]

Since, 0.1031 > 0.05

i.e. p-value > \alpha

So, we fail to reject the null hypothesis. [When p<\alpha then we reject null hypothesis  ]

So, the correct option is a. 0.1031; fail to reject the null hypothesis.

8 0
3 years ago
Find the value of c that makes each trinomial a perfect square<br> x^2-19x+c<br> Please Help! :)
tensa zangetsu [6.8K]

The value of c is \frac{361}{4}

Explanation:

Given that the trinomial is x^2-19x+c

We need to determine the value of c such that the trinomial is a perfect square.

The value of c can be determined using the formula,

c=(\frac{b}{2})^2

From the trinomial, the value of b is given by

b=-19

Substituting the value of b in the above formula, we have,

c=(\frac{-19}{2} )^2

Squaring both the numerator and denominator, we have,

c=\frac{361}{4}

Thus, the value of c is \frac{361}{4} which makes the trinomial a perfect square.

4 0
3 years ago
In any triangle ABC, which of the relations
MrRa [10]

ab+bc>can is the correct answer

3 0
3 years ago
In a large school, it was found that 77% of students are taking a math class, 74% of student are taking an English class, and 70
Iteru [2.4K]

Answer:

0.81 = 81% probability that a randomly selected student is taking a math class or an English class.

0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class

Step-by-step explanation:

We solve this question working with the probabilities as Venn sets.

I am going to say that:

Event A: Taking a math class.

Event B: Taking an English class.

77% of students are taking a math class

This means that P(A) = 0.77

74% of student are taking an English class

This means that P(B) = 0.74

70% of students are taking both

This means that P(A \cap B) = 0.7

Find the probability that a randomly selected student is taking a math class or an English class.

This is P(A \cup B), which is given by:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

So

P(A \cup B) = 0.77 + 0.74 - 0.7 = 0.81

0.81 = 81% probability that a randomly selected student is taking a math class or an English class.

Find the probability that a randomly selected student is taking neither a math class nor an English class.

This is

1 - P(A \cup B) = 1 - 0.81 = 0.19

0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class

6 0
3 years ago
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