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3 years ago

Which equation represents a line that passes through (-2,4) and has a slope of 2/5?

Mathematics

1 answer:

tatuchka [14]3 years ago

7 0

Answer:

Step-by-step explanation:

The slope is 2/5. Plug in the points and slope into the slope- intercept form y-y1=m(x-x1).

It would be...

y-4=2/5(x+2)

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In Major League Baseball, the American League (AL) allows a designated hitter (DH) to bat in place of the pitcher, but in the Na

hammer [34]

Answer:

Step-by-step explanation:

From the given information:

Let:

$\mu_1$ represent the population mean no. for DH group.

$\mu_2$ represent the population mean no. for no DH group

$n_1$ represent the sample sizes of DH

$n_2$ represent the sample sizes of no DH

Sample size: $n_1 = n_2 = 20$

For both groups, the population standard deviation of runs scored = 2.54

i.e

$\sigma^2_1 = \sigma_2^2 = 2.54$

The null & alternative hypothesis;

$H_o : \mu_1 \le \mu_2 \\ \\ H_a: \mu_1 > \mu_2$

Level of significance:

The test statistics is:

$z = \dfrac{\bar x_1 - \bar x_2}{\sqrt{\dfrac{\sigma^2_1}{n_1} + \dfrac{\sigma_2^2}{n_2} }}$

where;

$\bar x_1$ = sample mean for DH group

$\implies \dfrac{1}{n_1} \sum \limit ^{n_1}_{i=1} x_1 \\ \\ = \dfrac{1}{20}(0+6+8+2+2+4+7+7+6+5+1+1+5+4+4+5+7+11+10+0) \\ \\ = \dfrac{92}{20}$

= 4.6

$\bar x_2$ = sample mean for no DH group

$\implies \dfrac{1}{n_2} \sum \limit ^{n_1}_{i=1} x_1 \\ \\ = \dfrac{1}{20}(3+6+2+4+0+5+7+6+1+8+12+4+6+3+4+0+5+2+1+4) \\ \\ = \dfrac{83}{20}$

= 4.15

Now:

$z = \dfrac{4.60- 4.15}{\sqrt{\dfrac{2.54^2}{20} + \dfrac{2.54^2}{20} }} \\ \\ = \dfrac{0.45}{\sqrt{0.32258 +0.32258 }} \\ \\ = \dfrac{0.45}{0.803219} \\ \\$

= 0.5602

Since the test is one-tailed by looking at that $H_a:$

The P-value = $P(Z > z)$

$\implies 1 - P(Z \le z) \\ \\ = 1 - P(Z \le 0.5602)$

Using Excel Function " =normdist(z)"; we have":

$= 1- 0.7123$

P-value = 0.2877

Decision rule: To reject $H_o$ , if $p-value < \alpha \ at \ 0.10$

Conclusion: SInce P = 0.2877 which is $> \ \alpha \ at \ 0.10.$

We fail to reject the $H_o$ and conclude that there is insufficient evidence to support the given claim that: $\text{more runs are scored in games for which DH is used.}$

8 0

3 years ago

How do I solve 4x-2(x-5) = -7+5x+2

natta225 [31]

Answer:

x=5

Step-by-step explanation:

1) Group like terms which will then make the equation 4x-2(x-5)=5x-5

2) Expand the equation (multiply) which will make it 4x-2x+10=5x-5

3) Add similar elements; 2x+10=5x-5

4) Subtract 10 from both sides; 2x=5x-15

5) Subtract 5x from both sides; -3x=-15

6) Divide by 3; x=5

4 0

3 years ago

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST

AfilCa [17]

Answer:

D) 13/100 = 2500/X

Step-by-step explanation:

..........

6 0

2 years ago

Read 2 more answers

(2x)^-1<br> how do u put this into a positive exponent and a fraction?<br> 20 points

Naddika [18.5K]

For this case we have that by definition of power properties it is fulfilled that:

$a ^ {-1} = \frac {1} {a ^ 1} = \frac {1} {a}$

Then, if we have the following expression:

$(2x)^{ -1}$

Applying the property, we can rewrite the expression as:

$\frac {1} {(2x) ^ 1} = \frac {1} {2x}$

Answer:

$\frac {1} {2x}$

6 0

4 years ago

Given the following functions f(x) and g(x), solve (f ⋅ g)(3) and select the correct answer below:

amm1812

(f * g)
(4x^2 + 12)(x - 1) = x(4x^2 + 12) - 1(4x^2 + 12) = 4x^3 + 12x - 4x^2 - 12 =
4x^3 - 4x^2 + 12x - 12

(f*g)(3) = 4(3^3) - 4(3^2) + 12(3) - 12 = 4(27) -4(9) + 36 - 12 =
108 - 36 + 36 - 12 =
96 <===

7 0

3 years ago