Identify the property. ( x + y ) + z = x + ( y + z )

An equilateral triangle ΔLMQ (see picture to the right) is drawn in the interior of square LMNP so that side is common. Find m∠L

lesya692 [45]

I don’t see the picture if I see it I can help you tho

5 0

2 years ago

Need help to answer please

NNADVOKAT [17]

Answer:

0I do not know

Step-by-step explanation:

you good post on this post y el que me and the en el mundo del abecedario y la música que ✨ 7th en is the trail from a 6th street in

6 0

3 years ago

A survey of an urban university (population of 25,450) showed that 870 of 1,100 students sampled supported a fee increase to fun

Katen [24]

Answer:

95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C

Step-by-step explanation:

The confidence interval for a proportion is given as [p +/- margin of error (E)]

p is sample proportion = 870/1,100 = 0.791

n is sample size = 1,100

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (z) at 5% significance level is 1.96.

E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024

Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767

Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815

95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.

5 0

3 years ago

Express the fact that X differs from 2 by more than 3 as an inequality involving an absolute value. Solve for x

defon

An inequality is also an algebraic equation. However, instead of '=' sign, it uses either of these: <, >, ≤, ≥. To translate: <span>X differs from 2 by more than 3, that would be:

2 - x > 3
We use the '>' equation because the open area should face the larger value. Solving the equation:
-x > 3 - 2
-x > 1
x > -1</span>

5 0

2 years ago

Find the mean of each distribution.

Vanyuwa [196]

Answer:

a) 23 °C

b) 5.81 m² (2 dp)

Step-by-step explanation:

This set of data is presented as a <u>Dot Plot</u>.

The frequency (how often a data value occurs) is represented by the number of dots above each data value.

For example, in this dot plot, there are 3 dots above the data value 21 °C and so this means that there are three of this particular data value in the set of data.

To find the mean, we need to multiply each data value by its frequency, add them up, then divide by the total frequency.

$\begin{aligned}\textsf{mean}&=\dfrac{3 \times 21+1 \times 22+2\times 23+5\times 24+1\times 25}{3+1+2+5+1}\\\\ & = \dfrac{63+22+46+120+25}{12}\\\\& = \dfrac{276}{12}\\\\&=23^{\circ} \sf C\end{aligned}$

This set of data is presented as a <u>stem and leaf diagram</u>, where the units and tenths are split. The units column is the 'stem' and the tenths become the 'leaf'.

Therefore, the first row of this stem and leaf diagram represents 2 data values: 4.3 and 4.8

To find the mean, sum the data values, then divide by the total frequency.

To find the total frequency, simply count the number of values in the leaf part of the diagram.

Data values = 4.3, 4.8, 5.1, 5.1, 5.2, 5.5, 5.7, 6.6, 6.9, 7.3, 7.4

Total frequency = 11

$\begin{aligned}\textsf{mean} &=\dfrac{4.3 + 4.8 + 5.1+5.1+5.2+5.5+5.7+6.6+6.9+7.3+7.4}{11}\\ & = \dfrac{63.9}{11}\\\\& = 5.81\:\textsf{(2 dp)}\end{aligned}$

4 0

1 year ago

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