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kykrilka [37]
2 years ago
6

Please help What is x= ?

Mathematics
2 answers:
Nataly [62]2 years ago
5 0

Answer:

x=33^{\circ}

Step-by-step explanation:

First off, your drawing is kinda inaccurate, because the 124^{\circ} looks like a right angle, but as you drew it yourself it doesn't matter too much.

We know that the sum of the angles of a triangle will always equal 180^{\circ}, so we have that 23+124+x=180.

Combining like terms on the left side gives 147+x=180.

Subtracting 147 from both sides gives x=33.

So, \boxed{x=33^{\circ}} and we're done!

padilas [110]2 years ago
4 0

Answer:

33°

Step-by-step explanation:

1. All angles in any triangle add up to 180°, so 23° + 124° + x° = 180.

2. Now, let's solve that equation we just wrote!

Step 1: Combine like terms

  • (23 + 124) + (x) = 180
  • 147 + x = 180

Step 2: Subtract 147 from both sides.

  • 147 + x - 147 = 180 - 147
  • x = 33

Therefore, x = 33°!

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Suppose a sample of 100 families of four vacationing at Niagara Falls resulted in sample mean of $282.45 spent per day and a sam
Juli2301 [7.4K]

Given Information:

Mean = μ = $282.45

Standard deviation = σ = $64.50

Sample size = n = 100

Confidence level = 95%

Required Information:  

95% Confidence interval = ?

Answer:

95% Confidence interval = ($269.81, $295.09)

Step-by-step explanation:

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.  

The confidence interval is given by

CI = \bar{x} \pm MoE\\

Where \bar{x} is the mean and MoE is the margin of error given by

MoE = z_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\

Where σ is the standard deviation, n is the sample size and z_{\alpha/2} is the z-score corresponding to 95% confidence level.

z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96

MoE = 1.96\cdot \frac{64.50}{\sqrt{100} } \\\\MoE = 1.96\cdot 6.45\\\\MoE = 12.64\\

Finally, the confidence interval is

CI = \bar{x} \pm MoE\\\\CI = 282.45 \pm 12.64\\\\CI = 282.45 - 12.64 \: and \: 282.45 + 12.64\\\\CI = \$269.81 \: and \:\:\$295.09\\

Therefore, we are 95% sure that the true population mean amount spent per day by a family of four visiting Niagara Falls is within the interval of ($269.81, $295.09)

3 0
3 years ago
Graph triangle XYZ with vertices X(0, -4), Y (4, -1), and Z(6, -3) on the coordinate grid.
gogolik [260]

Answer:

Step-by-step explanation:

6 0
3 years ago
What is the slope of the line that passes through the points (1, -6)(1,−6) and (-8, 9) ?(−8,9)?
Monica [59]

Answer:

The answer to your question is  m = -5/3      

Step-by-step explanation:

Data

Point 1 = (1, -6)

Point 2 = (-8, 9)

Process

To find the slope just substitute the values in the formula and simplify.

Formula

slope = m = (y2 - y1) / (x2 - x1)

-Identify x1, y1, x2 and y2

  x1 = 1    y1 = -6   x2 = -8  y2 = 9

-Substitution

             m = (9 + 6) / (-8 - 1)

-Simplification

             m = 15/-9

-Result

             m = -5/3            

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8 – 6 ∙ 4 + 10 ÷ 2 =
igor_vitrenko [27]

Answer:

-11

Step-by-step explanation:

8 0
3 years ago
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