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3 years ago

Need help with this problem its really complicated for me

Mathematics

1 answer:

ddd [48]3 years ago

8 0

You can write a proportion because the two triangles are similar

$\frac{x}{x-2}$ = $\frac{x + x + 5}{x + 1 + x - 2}$ (the second fraction is longer because I added the full lengths of the larger triangle) cross multiply to get (x)(x + 1 + x - 2) = (x - 2)(x + x + 5)

which simplifies to (x)(2x - 1) = (x - 2)(2x + 5)

then 2x² - x = 2x² + 5x -4x - 10

then 2x² - x = 2x² + x - 10

then 2x² = 2x² + 2x - 10

subtract 2x² from both sides to get 0 = 2x - 10

add 10 to both sides to get 10 = 2x

divide both sides by 2 to get 5 = x

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Triangle P Q R is shown. Angle Q P R is a right angle. The length of Q P is 8 StartRoot 3 EndRoot and the length of P R is 8.

Vika [28.1K]

Answer: Length of side QR is 16 units.

Step-by-step explanation: Given that dimensions of PQR

QPR= 90degrees

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2 years ago

A model car is 8 inches long and 5.2

Sphinxa [80]

Use proportions here - 8/5.2 = 96/width of actual car. using cross multiplication, 5.2*96 = 8x. this gives you 499.2 = 8x. divide both sides by eight to get x=62.4. the width of the actual car is 62.4 inches.

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3 years ago

What is spark addition?

Arturiano [62]

Answer:

spark addition is a left to right addition

3 0

3 years ago

To put a narrow border around a square photo, Alicia has 32 inches of trim. The area of the photo is 60 square inches. Will she

olga nikolaevna [1]

Answer: Yes, she will have enough trim for all four sides of the square, because the perimeter of the square photo (30.98 inches) is less than 32 inches of trim she has.

Step-by-step explanation:

The formula for calculate the area of a square is:

$A=s^2$

Where "s" is the lenght of any side of the square.

The formula for calculate the perimeter of a square is:

$P=4s$

Where "s" is the lenght of any side of the square.

We know that that the area of the photo is 60 square inches, therefore, we can solve for "s" from the formula $A=s^2$ and find its value:

$A=s^2\\\\s=\sqrt{A}[\\\\s=\sqrt{60in^2}\\\\s=2\sqrt{15}in$

Substituting the value of "s" into the formula $P=4s$ , we get that the perimeter of the photo is:

$P=4(2\sqrt{15}in)=30.98in$

Therefore, since Alicia has 32 inches of trim and $30.98in$ , we can conclude that she will have enough trim for all four sides of the square.

8 0

3 years ago

The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from w

Marat540 [252]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 252$

The number that tested positive is $k_1 = 18$

The second sample size is $n_2 = 476$

The number that tested positive is $k_2 = 20$

The level of significance is $\alpha = 0.01$

Generally the first sample proportion is mathematically represented as

$\^ p _1 = \frac{k_1 }{ n_1 }$

=> $\^ p _1 = \frac{18 }{ 252 }$

=> $\^ p _1 = 0.071$

Generally the second sample proportion is mathematically represented as

$\^ p _2 = \frac{k_2 }{ n_2 }$

=> $\^ p _2 = \frac{20 }{ 476}$

=> $\^ p _2 = 0.042$

The null hypothesis is $H_o : p_1 - p_2 = 0$

The alternative hypothesis is $H_a : p_1 - p_2 \ne 0$

Generally the test statistics is mathematically represented

$z = \frac{ \^ p_1 - \^ p_2 - ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1 } + \frac{\^ p_2 (1-\^ p_2)}{ n_2 } } }$

=> $z = \frac{ 0.071 - 0.042 - 0 }{ \sqrt{\frac{0.071 (1-0.071)}{ 252 } + \frac{0.042 (1-\^ 0.042)}{ 476 } } }$

=> $z = 1.56$

From the z table the area under the normal curve to the right corresponding to 1.56 is

$P(Z > 1.56 ) =0.05938$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z > 1.56 )$

=> $p-value = 2 * 0.05938$

=> $p-value = 0.1188$

From the value obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

5 0

3 years ago