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Ludmilka [50]
3 years ago
9

Starting in the first square of her quilt, Lu lined up her toy designs in rhis order: plane, car, fire truck, helicopter, crane,

and wagon. Using this pattern unit, which design will Lu place in the fifteenth square? Explain how you found your answer.
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
6 0
Fire truck because there are 6 designs and 6x2=12 but there are 3 left so it is plane,  car, then firetruck
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A student records the repair cost for 22 randomly selected dryers. A sample mean of $98.78 and standard deviation of $15.49 are
Gelneren [198K]

Answer:

The critical value that should be used is T = 2.0796.

The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 22 - 1 = 21

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0796, which is the critical value that should be used.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.0796\frac{15.49}{\sqrt{22}} = 6.868

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.78 - 6.868 = $91.912

The upper end of the interval is the sample mean added to M. So it is 98.78 + 6.868 = $105.648

The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.

8 0
3 years ago
What is the solution of the equation sqrt 2x+13-5=x?
Tom [10]
2x-x=-13+5
x=-8
I think so
Good luck
6 0
3 years ago
Read 2 more answers
when the driver is in the empty truck, the mass is 2948.35 kilogram. the mass of 1 box of paper is 22.5 kilograms. the driver de
marishachu [46]

Answer:

  0 boxes minimum

Step-by-step explanation:

The mass of the truck and paper must satisfy ...

  22.5b + 2948.35 ≤ 4700 . . . . total truck mass cannot exceed bridge limits

  22.5b ≤ 1751.65

  b ≤ 77.85

The driver can take a minimum of 0 boxes and a maximum of 77 boxes of paper over the bridge.

_____

The question asks for the <em>minimum</em>. We usually expect such a question to ask for the <em>maximum</em>.

7 0
2 years ago
What property of operations can be used to justify that the two expressions in this equation are equivalent? 6x^2 +4x=4x + 6x^2
lorasvet [3.4K]

Answer:

Commutative

Step-by-step explanation:

There are four basic property of operations to solve an algebraic expressions. They are associative, commutative, distributive and identity.

The expression given is : $6x^2 + 4x=4x+6x^2$

So the given algebraic expression is a commutative property of operations. The commutative property states that when any two numbers are added in an expression the sum of the numbers are the same regardless of the order of the numbers that are added.

Thus the sum of the above expression will be same in which ever order the numbers are added.

8 0
2 years ago
The red figure is congruent to the blue figure. Choose two different sequences of transformations in which the blue figure is th
harkovskaia [24]

Answer:

  • 1 and 4

Step-by-step explanation:

1. Rotate 90° counterclockwise about the origin and then translate 5 units left.

  • Correct

2. Reflect across the y-axis and then rotate clockwise 180° about the origin.

  • Incorrect, this ends up in the first quadrant, additional translation is required

3. Rotate 180° about the origin.

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4. Rotate 90° clockwise about the origin and then translate 1 unit right and 5 units up.

  • Correct
7 0
2 years ago
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