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3 years ago

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Un árbol proyecta una sombra de 24 pies al mismo tiempo que una vara de medir proyecta una sombra de 2 pies encuentre la altura

del árbol

1 answer:

Zigmanuir [339]3 years ago

4 0

Hola soy Dora amigo hola mark me as brainlest

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Solve using any method. −2x+y=−3 x+y=3 ( 5, 2) ( 1, 2) ( 2, 5) ( 2, 1)

nignag [31]

Answer:

Therefore the solution set is (x , y) = ( 2 , 1 )

Step-by-step explanation:

Given:

$-2x+y=-3$ ...............Equation ( 1 )

$x+y=3\\$ ...............Equation ( 2 )

$\therefore y=3-x$ ...............Equation ( 3 )

To Find:

x = ?

y = ?

Solution:

Using Substitution Method we will have

Substitute above ' y ' Equation 3 in Equation 1 we get

$-2x+(3-x)=-3\\-2x-x=-3-3\\-3x=-6\\3x=6\\x=\dfrac{6}{3}=2\\\\x=2$

Now Substitute ' x ' in Equation 3 we get

$y=3-2=1\\y=1$

Therefore the solution set is (x , y) = ( 2 , 1 )

5 0

3 years ago

Suppose that a restaurant chain claims that its bottles of ketchup contain 24 ounces of ketchup on average, with a standard devi

Tanya [424]

Answer:

Confidence Interval = (23.776, 24.224)

Step-by-step explanation:

Restaurant chain claims that its bottles of ketchup contain 24 ounces of ketchup on average.

⇒ Mean = 24 ounces.

Standard Deviation = 0.8

Number of bottles used for sample = 49

⇒ n = 49

Confidence level = 95%

Corresponding z value with 95% confidence level = 1.96

Now, confidence interval is given by the following expression :

$Mean \pm z^*\times \frac{\sigma}{\sqrt{n}}\\\\=24\pm1.96\times \frac{0.8}{\sqrt{49}}\\\\=24\pm 0.224$

Hence, Confidence Interval = (23.776, 24.224)

6 0

3 years ago

Simplify the expression: (9x+10) - (3x+7)

natali 33 [55]

Answer:

6x+3

Step-by-step explanation:

You first must distribute the negative sign to 3x+7, giving you -3x+7. Then you combine like terms (the 9x+(-3x) and 10+(-7)). This would give you 6x+3

4 0

3 years ago

Read 2 more answers

Answers please!!!!!!!!!!

Julli [10]

Answer:

X=8, each side is=27

Step-by-step explanation:

Equilateral triangle, each side has the same lenght

5x-13=11x-61

61-13=11x-5x

48=6x

x=8

5(8)-13=27

7 0

3 years ago

The average size of 8 farms in Indiana County, Pennsylvania, is 191 acres with standard deviation of 38 acres. The average size

Grace [21]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. it is a two-tailed test. Let μ1 be average size of farms in Indiana County, Pennsylvania and μ2 be the average size of farms in Greene County, Pennsylvania.

The random variable is μ1 - μ2 = difference in the average size of the farms in Indiana County and the average size of the farms in Greene County.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 191

μ2 = 199

s1 = 38

s2 = 12

n1 = 8

n2 = 10

t = (191 - 199)/√(38²/8 + 12²/10)

t = - 0.57

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [38²/8 + 12²/10]²/[(1/8 - 1)(38²/8)² + (1/10 - 1)(12²/10)²] = 37986.01/4677.36142857143

df = 8

We would determine the probability value from the t test calculator. It becomes

p value = 0.58

Let us assume a significance level of 0.05

Since alpha, 0.05 < than the p value, 0.58, then we would accept the null hypothesis. Therefore, at a significance level of 5%, there is not sufficient evidence to conclude that the average size of the farms in Indiana County and the average size of the farms in Greene County are different.

4 0

3 years ago