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Mice21 [21]
3 years ago
15

What is the value of x? geometry

Mathematics
2 answers:
Tamiku [17]3 years ago
7 0

Answer:

The answer to your question is:   x  = 35°

Step-by-step explanation:

The sum of all the internal angles in a triangle equals 180°.

y = 180° - 95°

y = 85°

        60° + 85° + x = 180°

        x = 180 - 60 - 85

        x  = 35°

Tpy6a [65]3 years ago
4 0

Answer:

x = 35°

Step-by-step explanation:

A straight line = 180

180 - 95 = 85

The triangle has 180 degrees.

60 + 85 = 145

180 - 145 = 35

x = 35°

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Three ballet dancers are positioned on stage. Monica is straight behind Jodie and directly left of Gina. If Jodie and Monica are
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Use a^2 + b^2 = c^2 to get your answer

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5 0
3 years ago
What is the pattern 324,256,196,144
Blababa [14]

The pattern of 324, 256, 196, 144 is the square of the even numbers in a descending order starting from 18.

<h3>What is a sequence?</h3>

A sequence is a set of things next to each other in a set order. It is also referred to as a series.

According to this question, the following sequence is given: 324, 256, 196, 144. A careful observation of these numbers shows that each is the square of even numbers.

18² = 324

16² = 256

14² = 196

12² = 144

Therefore, the pattern of 324, 256, 196, 144 is the square of the even numbers in a descending order starting from 18.

Learn more about pattern at: brainly.com/question/19819125

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7 0
2 years ago
Data were collected on the amount spent by 64 customers for lunch at a major Houston restaurant. These data are contained in the
galina1969 [7]

Answer:

a. The margin of error is 2.29.

b. 19.23 to 23.81

Step-by-step explanation:

The sample size is n=64.

We start by calculating the sample mean and standard deviation with the following formulas:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}

The sample mean is M=21.52.

The sample standard deviation is s=6.89.

We have to calculate a 99% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{6.89}{\sqrt{64}}=\dfrac{6.89}{8}=0.861

The degrees of freedom for this sample size are:

df=n-1=64-1=63

The t-value for a 99% confidence interval and 63 degrees of freedom is t=2.656.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.656 \cdot 0.861=2.29

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 21.52-2.29=19.23\\\\UL=M+t \cdot s_M = 21.52+2.29=23.81

The 99% confidence interval for the mean is (19.23, 23.81).

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