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3 years ago

Line AB contains points A (4,5) and B(9,7). What is the slope of AB

Mathematics

2 answers:

ki77a [65]3 years ago

8 0

This line crosses the point (4,5)so we can make an equation to find the slope:
$4 = a \times 5 \\ 4 = 5a \\ a = \frac{4}{5}$
hope this helps

Nikolay [14]3 years ago

8 0

Answer. I have no idea the answer either but i am hoping to get one for this as well so please someone help us both if you can.

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A clown bought 6 bags of round balloons with 24 balloons in each bag.The clown also bought 3 bags of long balloons with 36 ballo

Ierofanga [76]

6 bags × 24 balloons = the amount of round balloons
6× 24 = 144
3 bags × 36 balloons = the amount of long balloons
3 ×36=108

108 long balloons - 144 round balloons = number of more long balloons that round ones
108-144=-36
He has -36 more long balloons that round ones
Or 36 more round balloons that long ones

7 0

3 years ago

HELP ME IM SO CONFUSED

givi [52]

Answer:

1) 4812 students
2) 763 pounds
3) $30906.76

Step-by-step explanation:

Initial number = 2988
Rate of increase = 10%

Number of students after 6 years:

$a_6 = 2988(1+0.1)^{6-1} = 4812$

Initial number = 1200
Rate of decrease = 14%

Amount of gold after 4 years:

$a_4=1200(1-0.14)^3 = 763$

Initial number = 28000
Rate of increase = 2.5%

Salary after n years:

$a_n=28000(1+0.025)^{n-1} = 28000*1.025^{n-1}$

Salary in the 5th year:

$a_5=28000*1.025^4 = 30906.76$

6 0

2 years ago

Read 2 more answers

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

2 years ago

Here is an expression: 3 • 2t

leva [86]

Answer:

1. 6

2. 24

Step-by-step explanation:

Substitute in the values for t and solve the expression.

3 0

3 years ago

Read 2 more answers