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Sveta_85 [38]
3 years ago
12

A quadrilateral has two consecutive angles that measure 90° each. Which of the following quadrilaterals could have this property

?
i. square

ii. rectangle

iii. parallelogram

iv. kite

v. rhombus

vi. trapezoid

A.

i, ii

B.

i, ii, iii

C.

i, ii, iii, iv

D.

i, ii, iii, v, vi

Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0
The diagram of each shape are shown below

The shapes that have two consecutive angles of 90° is square and rectangle, so the correct option is option A

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Answer:

The 98% confidence interval for the mean amount spent on their child's last birthday gift is between $40.98 and $43.02.

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

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98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 23 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.5

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.5\frac{2}{\sqrt{24}} = 1.02

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 42 - 1.02 = $40.98.

The upper end of the interval is the sample mean added to M. So it is 42 + 1.02 = $43.02.

The 98% confidence interval for the mean amount spent on their child's last birthday gift is between $40.98 and $43.02.

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