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3 years ago

8

Which triangles in the diagram are congruent?

2 answers:

malfutka [58]3 years ago

8 0

Answer:

Triangle 1 and Triangle 3

Step-by-step explanation:

By SAS (Side-Angle-Side) property

lesya [120]3 years ago

7 0

Answer:

triangle 1 and triangle 3.

Step-by-step explanation:

Given : Four triangle .

To find : Which triangles in the diagram are congruent.

Solution :

By Congruent rule Side angle side : In triangle 1 and triangle 3 are congruent by side angle side .

Therefore, triangle 1 and triangle 3.

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What is the difference between categorical and quantitative data? Give examples of each of your own for each. Also decide whethe

Snezhnost [94]

Categorical data may or may not have some logical order while the values of a quantitative variable can be ordered and measured.

Categorical data examples are: race, sex, age group, and educational level

Quantitative data examples are: heights of players on a football team; number of cars in each row of a parking lot

a) Colors of phone cover - quantitative

b) Weight of different phones - quantitative

c) Types of dogs - categorical

d) Temperatures in the U.S. cities - quantitative

6 0

3 years ago

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

4 0

4 years ago

Question 5 (1 point)

hodyreva [135]

Answer:

Step-by-step explanation:

None of these choices is correct.

3y = 8 is an equation, not an expression. It states that "y is 8 divided by 3," which again is an equation.

5 0

3 years ago

Solve for the roots in simplest form using the quadratic formula:<br> 4x2 + 4x = -5

weqwewe [10]

Answer:

Step-by-step explanation:

Move all terms to one side

4x^2 + 4x + 5 = 0

Plug into quadratic formula

x = (-4 <u>+</u> $\sqrt{16 - 4(4)(5)}$ ) / 2(4)

= (-4 <u>+</u> $\sqrt{-64}$ )/8

At this point, there are no real answers. The roots to this equation are complex.

x = (-4 <u>+</u> 8i)/8

= (-1 <u>+</u> 2i)/2

6 0

3 years ago

Can i please get your help , it will mean a lot if you actually do and luvya so for helping genuinely :)

Art [367]

Answer:29

Step-by-step explanation:

Opposite angles in a quadrilateral (the trapezium inside the circle) must add up to 180, so 180-92 = 88.

So DAB = 88

Angles on a straight line add up to 180, so to find t, you have to 180 - 88 - 63 = 29

So t is 29.

Hope that helps!

8 0

3 years ago