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Zepler [3.9K]
4 years ago
6

What is the value of x

Mathematics
1 answer:
lyudmila [28]4 years ago
4 0

Answer:

52°

Step-by-step explanation:

By remote interior angle theorem of a triangle:

115° = 63° + x° ( x is the vertical angle of one interior angle of the triangle)

x° = 115° - 63°

x° = 52°

x = 52

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In a survey, 22 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped
Allushta [10]

Answer:

19.22\:

Step-by-step explanation:

Tthe population is normally distributed and the sample size is n=22\:.

Since the population standard deviation \sigma is unknown and the sample standard deviation s, must replace it, the t distribution must be used for the confidence interval.

Hence with degrees of freedom of 21, t_{\frac{\alpha}{2} }=3.527.(Read from the t distribution table)

The 98% confidence interval can be constructed  using the formula:

\bar X-t_{\frac{\alpha}{2}}(\frac{s}{\sqrt{n} } )\:.

From the question the sample mean is \bar X=32dollars and the sample standard deviation is s=17 dollars.

We substitute the values into the formula to get

32-3.527(\frac{17}{\sqrt{22} } )\:

19.22\:

Therefore, we can be 98% confident that the population mean is between is between 19.22 and 44.78 dollars.

8 0
4 years ago
Which transformation represents a reflection over the x-axis?
kakasveta [241]

Answer:

i think it is a

Step-by-step explanation:

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3 years ago
Order of Operations- -6+(-30) Divided by 5-(-2)
vladimir2022 [97]

Answer:

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Which type of graph would best show the population of New York City over 70 years
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3 years ago
compute the value of the discriminant and give the number of real solutions of the quadratic equation. -2x²+3x+5=0
SCORPION-xisa [38]

Given a quadratic equation in standard form

y=ax^2+bx+c

The discriminant D

D=b^2-4ac

tells the types of roots the equation has.

In this case, we have

\begin{gathered} -2x^2+3x+5=0 \\ a=-2 \\ b=3 \\ c=5 \end{gathered}

Then, the discriminant of this quadratic equation will be

\begin{gathered} D=b^2-4ac \\ D=(3)^2-4(-2)(5) \\ D=9+40 \\ \mathbf{D=49} \end{gathered}

Finally, the value of discriminat is 49 and as he discriminant is greater than zero then this quadratic equation has 2 different real solutions.

8 0
1 year ago
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