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tester [92]
3 years ago
8

Use the law of syllogism to draw a conclusion from the two given statements.

Mathematics
2 answers:
Ksenya-84 [330]3 years ago
7 0

The correct answer is B. If it is Thursday, then Sara goes to the bank

Explanation:

In the law of syllogism, you use the information of two statements of premises to draw a conclusion or inference that includes part of the two statements. This implies in the case presented, the best conclusion using syllogism is "If it is Thursday, then Sara goes to the bank" because this combines the fact Sara gets a paycheck on Thursday, and every time she gets a paycheck she goes to the bank. Also, this is the only statement that uses the information of the two premises to give a realistic and accurate conclusion or inference.

Basile [38]3 years ago
5 0

B. If it is Thursday, then Sara goes to the bank.

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472,558 to the nearest hundred thousand
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3 years ago
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A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a day waiting period to purchase
il63 [147K]

Answer:

The  90% confidence interval for the difference between proportions is (-0.260, -0.165).

Step-by-step explanation:

<em>The question is incomplete. The complete question is:</em>

<em>"A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purchase a gun?” Results from a random sample of US citizens showed that </em><em>318 of the 520 men </em><em>who were surveyed supported this proposed law while </em><em>379 of the 460 women </em><em>sampled said ‘‘yes”. Use this information to find a </em><em>90% confidence interval</em><em> for the difference in the two proportions, </em><em>pm - pw.</em><em> </em><em>Subscript pm</em><em> is the proportion of men who support the proposed law and </em><em>pw</em><em> is the proportion of women who support the proposed law. (Round answers to 3 decimal places.)"</em>

We want to calculate the bounds of a 90% confidence interval.

For a 90% CI, the critical value for z is z=1.645.

The sample of men, of size nm=-0.26 has a proportion of pm=0.612.

p_m=X_m/n_m=318/520=0.612

The sample 2, of size nw= has a proportion of pw=0.824.

p_w=X_w/n_w=379/460=0.824

The difference between proportions is (pm-pw)=-0.212.

p_d=p_m-p_w=0.612-0.824=-0.212

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_m+X_w}{n_m+n_w}=\dfrac{318+379}{520+460}=\dfrac{697}{980}=0.711

The estimated standard error of the difference between means is computed using the formula:

s_{pm-pw}=\sqrt{\dfrac{p(1-p)}{n_m}+\dfrac{p(1-p)}{n_w}}=\sqrt{\dfrac{0.711*0.289}{520}+\dfrac{0.711*0.289}{460}}\\\\\\s_{pm-pw}=\sqrt{0.00039+0.00045}=\sqrt{0.001}=0.029

Then, the margin of error is:

MOE=z \cdot s_{pm-pw}=1.645\cdot 0.029=0.0477

Then, the lower and upper bounds of the confidence interval are:

LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.212-0.0477=-0.260\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.212+0.0477=-0.165

The  90% confidence interval for the difference between proportions is (-0.260, -0.165).

6 0
3 years ago
To convert a temperature measured in degrees Fahrenheit to degrees Celsius, there is a formula
e-lub [12.9K]

Answer:

113`F= 46.11° Celsius

Step-by-step explanation:

(Celsius°C × 9/5) + 32 = Fahrenheit

(Celsius°C × 9/5) + 32 = 113

(Celsius°C × 9/5) = 113 - 32

(Celsius°C × 9/5) = 83

Celsius = 5(83)/9

Celsius  = 46.11° Celsius

6 0
2 years ago
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US Department of Transportation As part of a study on transportation safety, the US Department of Transportation collected data
Nonamiya [84]

Answer:

  • we can conclude that for every single unit of : x, y would be increased by 0.2871.  and intersection of x and y will be through =1.5974
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Step-by-step explanation:

WITH THE GIVEN DATA

A ) using regression to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age pf 21

to fit into a regression line we must have ∝ and β

where β = \frac{S_{xy} }{S_{xx} }   = 0.2871

and ∝ = y - βx   =  - 1.5974

regression line = ∝ + β * x

insert values into regression line equation

regression line = -1.5974 + 0.2871 * x

we can conclude that for every single unit of : x, y would be increased by 0.2871.  and intersection of x and y will be through =1.5974

B ) conclusion and recommendations can you derive from your analysis

it  can be  concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21

using the correlation coefficient  ( r ) = \frac{S_{xy} }{\sqrt{S_{xx}*S_{xy}  } }    = 0.8394

5 0
3 years ago
Solve this system of equations by
Goshia [24]
Answer: x = 12 and y = -8

Explanation:
x + y = 4
4x + 3y = 24
———————
-3(x + y = 4)
4x + 3y = 24
———————-
-3x - 3y = -12
4x + 3y = 24
———————
x = 12

If x = 12
x + y = 4
12 + y = 4
y = -8
6 0
2 years ago
Read 2 more answers
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