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viktelen [127]
3 years ago
9

Solve the equation. Show your work. 45 = 3 b + 69

Mathematics
2 answers:
Natalija [7]3 years ago
8 0
45 = 3b + 69
Subtract 69 from both sides.

-24 = 3b
Divide both sides by 3.

-8 = b
b = -8
vladimir2022 [97]3 years ago
7 0
So, first we get the variable on one side: 3b = -24 Divide: b = -8
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Find the sample size required to achieve the given margin of error with SD = 51.02 and z - score = 1.96. Round your answer to th
coldgirl [10]

Answer:

The sample size required is 2500.

Step-by-step explanation:

z-score:

In function of the margin of error M, the z-score is given by:

Z = \frac{M}{\frac{\sigma}{\sqrt{n}}} = \frac{M\sqrt{n}}{\sigma}

In this question, we have that:

\sigma = 51.02, M = 2, Z = 1.96

So

Z = \frac{M\sqrt{n}}{\sigma}

1.96 = \frac{2\sqrt{n}}{51.02}

2\sqrt{n} = 51.02*1.96

\sqrt{n} = \frac{51.02*1.96}{2}

(\sqrt{n})^2 = (\frac{51.02*1.96}{2})^2

n = 2500

The sample size required is 2500.

3 0
3 years ago
Banneker Middle School has 750 students. Lynn surveys a random sample of 50 students and finds that 27 of them have pet dogs. Ho
Alika [10]

Answer: 405 students

Step-by-step explanation:

From the question, Banneker Middle School has 750 students and we are told that Lynn surveys a random sample of 50 students and finds that 27 have pet dogs. The number of students at the school that are likely to have pet dogs goes thus:

Since out of 50 students surveyed, 27 have pet dogs, this means we multiply the fraction by 750. This can be mathematically written as:

= 27/50 × 750

= 27 × 15

= 405

This means 405 students are expecting to have pet dogs.

3 0
3 years ago
Given: Line Segment AC ≅ Line Segment DC, ∠B≅∠D
Neporo4naja [7]

Answer:

See Below.

Step-by-step explanation:

<u>Statements</u>                                                       <u>Reasons: </u>

<u />1)\text{ } AC\cong DC                                                      Given

2)\text{ } \angle B\cong \angle D                                                      Given

3)\angle BCA \cong \angle ECD                                            Vertical Angles are Congruent

4)\text{ } \Delta ACB\cong \Delta DCE                                          AAS Congruence

5)\text{ } AB\cong DE                                                      CPCTC

7 0
3 years ago
For an independent-measures anova comparing four treatment conditions, dfbetween = 3.
Tanya [424]
<span>For an independent-measures anova comparing four treatment conditions, dfbetween = 3.

TRUE.

The dfbetween is given by the number of treatments minus 1.
</span>
3 0
3 years ago
Please help me I need it right now
Nana76 [90]

Answer:

X+y=180, Y=Z, X+Z=180

Step-by-step explanation:

Hope this helps. i remember doing this.

6 0
3 years ago
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