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Anastasy [175]
3 years ago
13

Alexis spent 3/7 of his money.He gave 1/4 of the remainder to his sister.He had $120 left.How much did he have in the beginning.

Explain how you solved it
Mathematics
1 answer:
Doss [256]3 years ago
7 0

Answer:

$230

Step-by-step explanation:

Alexis still has 3/4 of his money

3/4 = $130

1/4 = $40

4/4 = $160

before this Alexis then spends 3/7 of his money

Alexis still has 4/7 (out of this 4/7 he gave 1/4 to his sister)

4/7 = $160

1/7 =  $40

7/7 = 280

Therefore all together alexis had

160+280

= $440

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Answer:

We conclude that the proportion of student body in favor of him is significantly less than or equal to 50%.

Step-by-step explanation:

We are given that Mike runs for the president of the student government and is interested to know whether the proportion of the student body in favor of him is significantly more than 50 percent.

A random sample of 100 students was taken. Fifty-five of them favored Mike.

<em>Let p = </em><u><em>proportion of the students who are in favor of Mike.</em></u>

So, Null Hypothesis, H_0 : p \leq 50%      {means that the proportion of student body in favor of him is significantly less than or equal to 50%}

Alternate Hypothesis, H_A : p > 50%      {means that the proportion of student body in favor of him is significantly more than 50%}

The test statistics that would be used here <u>One-sample z proportion</u> <u>statistics</u>;

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where, \hat p = sample proportion of students body in favor of Mike = \frac{55}{100} = 0.55

           n = sample of students taken = 100

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<em>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</em>

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Two sides of an isosceles triangle measures 26 and 10. What is the possible value of the third side?
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The third side of the triangle is 26.

Explanation:  

Given:

Two sides of the isosceles  triangle are 26 and 10.  

To Find:

The possible value of the third side

Solution:

Definition of Isosceles  triangle:

An isosceles triangle is a triangle with (at least) two equal sides. Isosceles triangle  has both two equal sides and two equal angles.

We also know the property of the triangle that  

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