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3 years ago

How many triangles can be constructed with the sides measuring 1m, 2m, and 2m.

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

3 0

Answer:Only one triangle can be constructed

Step-by-step explanation:

According to the question sides given are 1m, 2m and 2m

For the possibility of a triangle the sum of the two sides must be greater

than the third side

We have 1+2>2

⇒3>2

Also 2+2>1

⇒4>1

So the possibility of a triangle is fulfilled

Only an isosceles triangle can be constructed

as two sides are equal

You might be interested in

Find the slope of the line on the graph. Reduce all fractional answers to lowest terms.

miv72 [106K]

The answer is -1/3

The slope m is:
m = (y2 - y1) / (x2 - x1)
(x1, y1) = (-2, 2)
(x2, y2) = (4, 0)

m = (0 - 2) / (4 - (-2)) = -2 / 6 = -1/3

6 0

3 years ago

Need help pls! Answer asap

Lostsunrise [7]

1. 130°

I don't remember too many specifics from my past math classes, but I always remembered this because that is an upside-down mirror of the 130° angle.

2. 50°

A straight line is 180°, and 180 - 130 = 50.

7 0

3 years ago

Read 2 more answers

Which expression is equal to 5/9

lesya [120]

Hello, There are endless expressions. Since, you multiply this fraction by a costant k / k

If k = 2

Then,

(5/9) = ( 5/9) × ( k / k)

= (5/9) × ( 2/2)

= (5 × 2 / 9×2)

= 10 / 18
________________

The only restriction for k is zero and the infinite. Because there is no "0/0" and "infinito/ infinito" at math.

3 0

3 years ago

The graph shows the daily sales goal of

posledela

Answer:

25 cups of tea

Step-by-step explanation:

On the x-axis, we have the number of cups of coffee plotted against the number of cups of tea which are plotted on the y-axis to represent the daily sales goals.

From the graph, when 20 cups of coffee are sold (x = 20), a corresponding sales of 25 cups of tea (y = 25) would be sold as well to meet the sales goal.

Therefore, when employees sell 20 cups of coffee, 25 cups of tea must be sold to meet their goal.

6 0

3 years ago

Ten years ago 53% of American families owned stocks or stock funds. Sample data collected by the Investment Company Institute in

Alborosie

Answer:

a) Null hypothesis: $p\geq 0.53$

Alternative hypothesis: $p < 0.53$

b) $z=\frac{0.46 -0.53}{\sqrt{\frac{0.53(1-0.53)}{300}}}=-2.429$

$p_v =P(Z$

c) So the p value obtained was a very low value and using the significance level given $\alpha=0.01$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .

Step-by-step explanation:

Data given and notation

n=300 represent the random sample taken

$\hat p=0.46$ estimated proportion of American families owning stocks or stock funds

$p_o=0.53$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

Part a

We need to conduct a hypothesis in order to test the claim that proportion is less than 0.53 or 53%.:

Null hypothesis: $p\geq 0.53$

Alternative hypothesis: $p < 0.53$

Part b

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.46 -0.53}{\sqrt{\frac{0.53(1-0.53)}{300}}}=-2.429$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(Z$

Part c

So the p value obtained was a very low value and using the significance level given $\alpha=0.01$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .

7 0

3 years ago