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DedPeter [7]
3 years ago
15

Which expression represents the area of triangle ABC in square meters?

Mathematics
1 answer:
trapecia [35]3 years ago
3 0

Answer:

Option A : \frac{1}{2}*14*57 is the correct answer.

Step-by-step explanation:

Given that:

Height of triangle ABC = 14 meters

Base of triangle ABC = (20 + 37) meters

Base of triangle ABC = 57 m

Area of triangle = 1/2 * Height * Base

Area of triangle = \frac{1}{2} * 14 * 57 square meters

Hence,

Option A : \frac{1}{2}*14*57 is the correct answer.

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A study was recently conducted to estimate the mean cholesterol for adult males over the age of 55 years. From a random sample o
Komok [63]

Answer:  Correct critical value = 2.2622

Step-by-step explanation:

Confidence interval for population mean when population standard deviation is unknown:

\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}} , where \overline{x} = sample mean, n= sample size, s= sample standard deviation, t_{\alpha/2} = two-tailed t value.

As per given: n= 10

degree of freedom : df = n-1=9

\overline{x}=242.6\\\\s=73.33\\\\\alpha=5\%=0.05

Critical t-value : t_{\alpha/2,df}=t_{0.05/2,9}=t_{0.025,9}=2.2622

So, the 95 percent confidence interval estimate for the​ mean :

242.6\pm (2.2622)\dfrac{73.33}{\sqrt{10}}\\\\=242.6\pm (2.2622)(23.19)\\\\\approx242.6\pm52.46\\\\=(242.6-52.46,\ 242.6+52.46)\\\\=(190.14,\ 295.06)

The 95 percent confidence interval estimate for the​ mean:(190.14, 295.06)

8 0
3 years ago
Experts please please PLEASE answer this question ASAP! Due today.
quester [9]

The height of the given trapezoid is 7.5 m.

Step-by-step explanation:

Step 1:

The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.

The trapezoid's area, A = \frac{b_{1}+b_{2}}{2} (h).

Here b_{1} is the lower base length and b_{2} is the upper base length while h is the height.

Step 2:

In the given problem, b_{1}=5 \mathrm{m} and b_{2}=3 \mathrm{m}. Assume the height is h m.

The trapezoid's area = 30.

30 = \frac{5+3}{2} (h), 30 = (4)(h).

h = \frac{30}{4} = 7.5.

So the height of the given trapezoid is 7.5 m.

8 0
3 years ago
A shop buys pairs of trainers for £20 each. They sell them to make a 30% profit on each pair. What is the selling price of the t
Alexxx [7]

Answer:

60 dollars i think

Step-by-step explanation:

3 0
3 years ago
What is the domain and range?
Pie

Answer:

Domain: {-6, -2, -1, 1, 3, 6}

Range: {-6, -2, -1, 0, 3}

Step-by-step explanation:

to find the domain of a function, you look at all the possible x-values. this means you look at all the points, and see what their x-values are.

for example, the first point on the left is at (-6, -1). this means that -6 is in the domain. continue doing this for all the points, and you get {-6, -2, -1, 1, 3, 6}

to find the range of a function, it's just like domain but with y-values.

for example, for the leftmost point, it's at (-6, -1) so -1 is part of the range. continuing this with all the points, you get {-6, -2, -1, 0, 3}

5 0
2 years ago
Use the coordinates of the plotted points to complete the calculation below. Pay attention to negative signs.
MArishka [77]

Answer:

  • 3
  • 1
  • -3
  • 1
  • -3

Step-by-step explanation:

The <em>change in y</em> is the difference in y-coordinates between the lower right point and the upper left point. Similarly, the <em>change in x</em> is the difference in the x-coordinates of those points.

  \text{Slope}=\dfrac{\text{change in y}}{\text{change in x}}=\dfrac{\boxed{3}-6}{2-\boxed{1}}\\\\=\dfrac{\boxed{-3}}{\boxed{1}}\\\\\\=\boxed{-3}

7 0
3 years ago
Read 2 more answers
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