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Vitek1552 [10]
3 years ago
8

A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standa

rd deviation were calculated. Based on the results, the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 5% of 75%. Is the confidence interval at 90%, 95%, or 99%? What is the margin of error? Calculate the confidence interval and explain what it means in terms of the situation.
Mathematics
1 answer:
tigry1 [53]3 years ago
6 0

Answer:

the confidence interval is 90 % 0.05 < p < 0.75

and margin of error is 35 %

Step-by-step explanation:

Since 9 out of 10 students is 90 % so the confidence interval is 90 %

Range of Confidence Interval = 2* ME where ME = Margin of Error

0.75 - 0.05 = 2* ME

0.7 = 2 * ME

0.7 / 2 = ME

0.35 = ME or

ME = 35 %

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Which numbers belong to the solution set of inequality 9x&gt;117
Anna007 [38]

Hello Nancy

9x>117

Divide both sides by 9

9x/9>117/9

x>13


I hope that's help:0

3 0
3 years ago
How many cubes are needed to build this structure?
Elena-2011 [213]
Hello!

I believe that 8 cubes are needed to build the given figure

I hope this helps!
6 0
2 years ago
Read 2 more answers
X - y = 2<br> 4x – 3y = 11
swat32

Answer:

<u><em>For x - y = 2</em></u>

You need to find x or y in one of the equations and then substitute that into the other.

So we have;

x-y=2

4x-3y=11

We will take the first equation and find x;

x-y=2

add y to both sides;

x-y+y=2+y

x=2+y

Now we take that answer and substitute it forx in the other equation;

 

4(2+y)-3y=11

8+4y-3y=11

8+y=11

y=3

Now we have what y equals, so we use it in the first equation to find x;

x-3=2

x=5

So we have;

x=5; y=3

Hope you understand!

=)

<u><em>And for 4x – 3y = 11</em></u>

Multiply the first equation by 2 and the second by 3 so that there are the same number of y's in each:

8x - 6y = 22    ...(3)

30x + 6y = -3  ...(4)

 Now add (3) and (4) term by term:

38x + 0 = 19

or

38x = 19

or x = 1/2

Put this back into equation (1)

4*(1/2) - 3y = 11

or

2 - 3y = 11

Subtract 2 from both sides:

-3y = 9

 Divide both sides by -3

y = -3

6 0
3 years ago
Read 2 more answers
What are the four points of intersection between 4x^2 + y^2 - 4y - 32 = 0 and x^2 - y - 7 = 0 ? Solve algebraically
tensa zangetsu [6.8K]
Remember (a²-b²)=(a-b)(a+b)

solve for  a single variable
solve for y in 2nd

add y to both sides
x²-7=y
sub (x²-7) for y in other equaiton

4x²+(x²-7)²-4(x²-7)-32=0
expand
4x²+x⁴-14x²+49-4x²+28-32=0
x⁴-14x²+45=0
factor
(x²-9)(x²-5)=0
(x-3)(x+3)(x-√5)(x+√5)=0
set each to zero

x-3=0
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x+3=0
x=-3

x-√5=0
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x+√5=0
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sub back to find y

(x²-7)=y

for x=3
9-7=2
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for x=-3
9-7=2
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for √5
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for -√5
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the intersection points are

(3,2)
(-3,2)
(√5,-2)
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8 0
3 years ago
Which choice is the solution to the inequality below?
Georgia [21]
<h3>hello!</h3>

In order to solve this inequality, we should divide both sides by 9:-

\sf{9x < 72}

Why 9? Because x is multiplied by 9, and we need to isolate x in order to find its value.

\sf{x < 8}

Hence, that's the solution to the inequality.

<em>It also means that the numbers less than 8 will satisfy the given inequality (make the inequality true)</em>

(Option C is correct :) )

<h3>note:-</h3>

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

8 0
2 years ago
Read 2 more answers
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