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blsea [12.9K]
2 years ago
6

15. Evaluate h? - hk + 2k3 – 2 for h = 4 and k=-1.

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
6 0
"The bread-enclosed convenience food known as the "sandwich" is attributed to John Montagu, fourth Earl of Sandwich (1718-1792), a British statesman and notorious profligate and gambler, who is said to be the inventor of this type of food so that he would not have to leave his gaming table to take supper.
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The diagram shows WXY. which term describes point Z
larisa86 [58]
The answer is d because the centroid stems from medians in a triangle
7 0
2 years ago
Read 2 more answers
Write the slope-intercept form of the equation of each line.
gregori [183]

Greetings!

Answer:

2y = x - 6

Step-by-step explanation:

First, we must find the slope of the current equation.

This is the number in front of the x.

Seeing as this is -2x, the slope of this line is -2

When finding the slope of a line perpendicular, you need to find the \frac{-1}{slope}

So, in this case it is:

\frac{-1}{-2}

The negatives cancel out which leave \frac{1}{2}

So the gradient is \frac{1}{2}


Now, to find the equation of a line, you need to use:

y - y1 = m(x - x1)

Where ya and x1 are the values in the coordinates (2 , -2)

So y1  = -2, x1 = 2, and m is a half. Plug these values in:

y - - 2 = \frac{1}{2}(x - 2)

We need to get rid of the half so we multiply the whole equation by 2:

2y - - 4 = (x - 2)

The minus and the negative turn into a positive:

2y + 4 = x - 2

And now simply move the +4 over to the other side, making it a negative:

2y =  -2 - 4 + x

Simplify:

2y = x - 6

<h3>So the equation of the line is 2y = x - 6</h3>
<h2>Hope this helps!</h2>
5 0
3 years ago
Until recently a number of professions were prohibited from advertising. In 1977, the U.S. Supreme Court ruled that prohibiting
umka2103 [35]

Answer:

the two groups differed in their attitudes toward advertising, significantly

Step-by-step explanation:

given that until recently a number of professions were prohibited from advertising. In 1977, the U.S. Supreme Court ruled that prohibiting doctors and lawyers from advertising violated their right to free speech. The paper "Should Dentists Advertise?" Journal of Advertising Research, June 1982) compared the attitudes of 101 consumers and 124 dentists to the questions "I favor the use of advertising by dentists to attract new patients".

Hypotheses would be

H-0: the groups do not differ

H-a: The two groups differ significantly

(two tailed chi square test)

Observed      

Group Strongly agree Agree Neutral Disagree Strongly disagree Total

     

Consumers 34 47 9 6 5 101

Dentists 9 18 23 28 46 124

     

Expected is calculated as row total * column total / grand total for each cell

chi square = (obs - exp)^2/Exp for each cell added

chi square = 79.2716

rxc 5x2

df = 4x1 =4

p value <0.00001

Since p < alpha say 0.01, we reject null hypothesis.

the two groups differed in their attitudes toward advertising, significantly

3 0
3 years ago
6. Find the slope of the given points (3,4) and (7,-4).
Grace [21]

Answer:

-2, C

Step-by-step explanation:

Use the formula: (y2-y1)/(x2-x1)

Substitute the numbers:

(4-(-4)) / (3-7)

=8 / -4

= -2

The slope is -2, or C

7 0
3 years ago
Read 2 more answers
An article presents a study of the failure pressures of roof panels. A sample of 15 panels constructed with 8-inch nail spacing
wariber [46]

Answer:

There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches

Reject H_0\ at\ 5% level of significance

Step-by-step explanation:

From the question we are told that:

Sample size 1 n_1=15

Spacing 1 s_1=8

Mean 1 \=x_1=8.48

Standard deviation 1 \sigma_1=0.96 kPa

Sample size 2 n_2=16

Spacing 2 s_2=6

Mean 1 \=x_1=9.93

Standard deviation 1\sigma_1=1.02 kPa

Generally the hypothesis is mathematically given as

Null H_0:\mu_1-\mu_2

Alternative H_a:\mu_1\mu_2

Generally the equation for pooled estimate is mathematically given by

  S=\sqrt{\frac{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2}{n_1+n_2-2} }

Therefore

  S=\sqrt{\frac{(15-1)0.96^2+(16-1)1.02^2}{15+15-2} }

 S=0.9905

Generally the equation for test statistics is mathematically given by

 t=\frac{\=x_1+\=x_2}{S\sqrt{\frac{1}{n _1}+\frac{1}{n_2}}}

 t=\frac{\=8.48-9.93}{0.9905\sqrt{\frac{1}{15}+\frac{1}{15}}}

 t=-4.00091

Therefore From table

 P value=P(t_{15+15-2}=4.00091)

 P value=0.00041918

 P

Therefore

There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches

Reject H_0\ at\ 5% level of significance

3 0
2 years ago
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