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2 years ago

The y intercept of the line 5y + 2x -3=0

Mathematics

1 answer:

Alecsey [184]2 years ago

5 0

5y+2x-3=0

5y=-2x+3

y=-2/5 x+3

Sope intercept of the line is y=-2/5 x+ 3/5.

The intercept is 3/5.

Check: x=0 when y=3/5

5y+2x-3=0

5(3/5)+2x-3

3+2x-3=0

2x=0

x=0

Correct

The answer is 3/5.

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A random sample of 300 circuits generated 13 defectives. Use the data to test the hypothesis Upper H Subscript 0 Baseline colon

____ [38]

Complete Question

A random sample of 300 circuits generated 13 defectives. a. Use the data to test

$H_o : p = 0.05$

Versus

$H_1 : p \ne 0.05$

Use α = 0.05. Find the P-value for the test

Answer:

The p-value is $p-value = 0.5949$

Step-by-step explanation:

From the question we are told that

The sample size is n = 300

The number of defective circuits is k = 13

Generally the sample proportion of defective circuits is mathematically represented as

$\^ p = \frac{k}{n}$

=> $\^ p = \frac{13}{300}$

=> $\^ p = 0.0433$

Generally the standard Error is mathematically represented as

$SE = \sqrt{\frac{p(1- p)}{n} }$

=> $SE = \sqrt{\frac{0.05(1- 0.05)}{300} }$

=> $SE = 0.0126$

Generally the test statistics is mathematically represented as

$z = \frac{\^ p - p }{SE}$

=> $z = \frac{0.0433 - 0.05 }{0.0126}$

=> $z = -0.5317$

From the z table the area under the normal curve to the left corresponding to -0.5317 is

$(P < -0.5317 ) = 0.29747$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z < -0.5317 )$

=> $p-value = 2 * 0.29747$

=> $p-value = 0.5949$

3 0

3 years ago

To save money, a local charity organization wants to target its mailing requests for donations to individuals who are most suppo

mars1129 [50]

Answer:

The 80% confidence interval for difference between two means is (0.85, 1.55).

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for difference between two means is:

$CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2,(n_{1}+n_{2}-2)}\times SE_{\bar x_{1}-\bar x_{2}}$

Given:

$\bar x_{1}=M_{1}=6.1\\\bar x_{2}=M_{2}=4.9\\SE_{\bar x_{1}-\bar x_{2}}=0.25$

Confidence level = 80%

$t_{\alpha/2, (n_{1}+n_{2}-2)}=t_{0.20/2, (5+5-2)}=t_{0.10,8}=1.397$

*Use a <em>t</em>-table for the critical value.

Compute the 80% confidence interval for difference between two means as follows:

$CI=(6.1-4.9)\pm 1.397\times 0.25\\=1.2\pm 0.34925\\=(0.85075, 1.54925)\\\approx(0.85, 1.55)$

Thus, the 80% confidence interval for difference between two means is (0.85, 1.55).

3 0

2 years ago

2 a square root of 2 b square root 3 parentheses for a square root 2 + 380 square root 2 - 80 parentheses equal

velikii [3]

2√2

= 2√2

√3(√2+380√2-80)

= -80√3+381√6

I hope that's help and sorry for the late answer !

5 0

3 years ago

What are the two formulas to find the volume of a rectangle prism

OlgaM077 [116]

Answer:

Volume= Base x Height or Length x Width x Height

Step-by-step explanation:

8 0

3 years ago

Is it anyone up here that can help me with this question please anyone please

pentagon [3]

I'm going to guess B but I'm not sure

6 0

3 years ago