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If △PQR ≅ △STU, which of the following would be another way to write a congruence statement for the two triangles. △QPR ≅ △STU △

kykrilka [37]

Answer:

△QPR ≅ △TSU

Step-by-step explanation:Remember, they always look the same, so if △QPR ≅ △STU, it won't work because they are not identical anymore. For example, if you do △ABC ≅ △ABC, △BCA is not the exact same as △CAB. I hope this helps you!

7 0

4 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

Write the equation of the line in slope-intercept form. Explain how you found the slope and the y-intercept.

mafiozo [28]

The equation of the line in slope intercept form is y = - 1 / 2x + 4

<h3>How to write equation in slope intercept form?</h3>

The equation in slope intercept form is represented as follows:

y = mx + b

where

m = slope
b = y-intercept

Therefore,

using the points (2, 3)(0, 4)

m = 4 - 3 / 0 - 2 = 1 / -2 = - 1 / 2

Hence,

b = 4

Therefore, the slope intercept equation of the line is as follows:

y = - 1 / 2x + 4

The y-intercept is value of y when x = 0

learn more on equation here: brainly.com/question/27806296

#SPJ1

5 0

2 years ago

Ethan says there are a total of 700 hundreds in the number 7,000,000.

maxonik [38]

Hello there.

Is Ethan correct?

No, Ethan is not correct. There are exactly 7,000 hundreds in 7,000,000.

6 0

3 years ago

HELP PLEASE

Helga [31]

7.
Discounted price X
————————— = ———
Original Price 100

45 x
—- = —-
72 100

Cross multiply

45 times 100= 4500
72 times x= 72x

72x=4500

Divide

4500/72= 62.5%

4 0

3 years ago