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2 years ago

Theee scores on a recent test are three consecutive integers whose sum is 234 what are the three scores

Mathematics

1 answer:

gayaneshka [121]2 years ago

7 0

234/3 = 78

78+1 = 79

78-1 = 77

77+78+79 = 234

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Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the pre

artcher [175]

Answer: The proportion of new car buyers that trade in their old car has statistically significantly decreased.

Step-by-step explanation:

Since we have given that

p = 48% = 0.48

n = 115

x = 46

So, $\hat{p}=\dfrac{46}{115}=0.40$

So, hypothesis would be

$H_0:\ p=\hat{p}\\\\H_a:p$

So, test value would be

$z=\dfrac{p-\hat{p}}{\sqrt{\dfrac{p(1-p)}{n}}}\\\z=\dfrac{0.48-0.40}{\sqrt{\dfrac{0.48\times 0.52}{115}}}\\\\z=\dfrac{0.08}{0.0466}\\\\z=1.72$

At 10% level of significance, critical value would be

z= 1.28

Since 1.28 < 1.72

So, we will reject the null hypothesis.

Hence, the proportion of new car buyers that trade in their old car has statistically significantly decreased.

6 0

3 years ago

Which graph represents the solution to the given system?<br> Y=-x+5<br> y= 1/4 x+10

jeka57 [31]

Answer:

See attachment

Step-by-step explanation:

The given system is :

$y = - x + 5$

$y = \frac{1}{4}x + 10$

Let us equate both equations and solve for x.

$- x + 5 = \frac{1}{4}x + 10$

$- 4x + 20 = x + 40$

$20 - 40 =x + 4x$

$- 20 = 5x$

$x = - 4$

$y = - - 4 + 5 = 9$

The the two lines of this system will meet at (-4,9)

The graph is shown in the attachment.

7 0

2 years ago

In a group of 31 pupils, 4 play the flute only. 14 play the piano only. 7 play neither instrument. A student is selected at rand

solmaris [256]

Answer:

probability the student plays both instruments is [ $\frac{6}{31}$ ]

<h2> <u>Explanation</u>:</h2>

students who play both instruments = total students - flute players - piano players - students who play neither instruments

students who play both instruments

→ 31 - 4 - 14 - 7

→ 6 students play both instruments.

probability:

<h2>→ $\boxed{\frac{students- who -play- both- instruments}{total -students} }$ </h2><h2>→ $\boxed{\frac{6}{31} }$ </h2>

7 0

2 years ago

Read 2 more answers

Write the function f(x)=-3x^(2)+18x-24 in intercept form

tensa zangetsu [6.8K]

Answer:

x=67

Step-by-step explanation:

chicken <3

3 0

3 years ago

How do I solve this STATS question?

k0ka [10]

We have the following data:

Margin of Error = E = 2.7 % = 0.027
Sample size = n = 900
Proportion of adults in favor = p = 60% = 0.6

We need to find the confidence level. For this first we need to find the z value.

The margin of error for a population proportion is given as:

$E=z* \sqrt{ \frac{p(1-p)}{n} }$

Using the values, we get:

$0.027=z* \sqrt{ \frac{0.6*0.4}{900} } \\ \\ 
0.027=z*0.016 \\ \\ 
z= \frac{0.027}{0.01633} \\ \\ 
z=1.65$

As, seen from the z table, z=1.65 corresponds to the confidence level 90%. So, the answer to this question is option B

7 0

3 years ago