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2 years ago

Find the gradient and intercept on the x and y axes of the straight line with the following equation.

Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

5 0

Answer:

gradient is 5

Step-by-step explanation:

x intercept, replace y with 0

y +5x= 13

0+ 5x =13

0 - 13= -5x

-13= -5x

-13/-5 = -5x/-5

x = 13/5

y intercept, replace x with 0

y+5x=13

y+5(0)=13

y+0=13

y =13

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In a 2-sample z-test for two proportions, you find the following: X1 = 24 n1 = 200 X2 = 17 n2 = 150 You decide to run a test for

katrin2010 [14]

Answer:

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{24+17}{200+150}=0.117$

Replacing the info given we got:

$z=\frac{0.12-0.113}{\sqrt{0.117(1-0.117)(\frac{1}{200}+\frac{1}{150})}}=0.202$

We can calculate the p value with this probability:

$p_v =P(Z>0.202)= 0.420$

Since the p value is a very higher value we don't have enough evidence to conclude that the true proportion for population 1 is higher than the trrue proportion for population 2

Step-by-step explanation:

Information given

$X_{1}=24$ represent the number of people with the characteristic 1

$X_{2}=17$ represent the number of people with the characteristic 2 $n_{1}=200$ sample 1 selected

$n_{2}=150$ sample 2 selected

$p_{1}=\frac{24}{200}=0.12$ represent the proportion estimated for the sample 1

$p_{2}=\frac{17}{150}=0.113$ represent the proportion estimated for the sample 2

$\hat p$ represent the pooled estimate of p

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test

Hypothesis to test

We want to check if the proportion for population 1 is higher than the proportion for population 2, the system of hypothesis would be:

Null hypothesis: $p_{1} \leq p_{2}$

Alternative hypothesis: $p_{1} > p_{2}$

The statistic would be given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{24+17}{200+150}=0.117$

Replacing the info given we got:

$z=\frac{0.12-0.113}{\sqrt{0.117(1-0.117)(\frac{1}{200}+\frac{1}{150})}}=0.202$

We can calculate the p value with this probability:

$p_v =P(Z>0.202)= 0.420$

Since the p value is a very higher value we don't have enough evidence to conclude that the true proportion for population 1 is higher than the trrue proportion for population 2

4 0

2 years ago

-3 (x + 3) > 15 WHAT IS THE ANSWER + SHOW WORK PLS FIND VALUE OF X

faust18 [17]

Answer:

x < −8

Step-by-step explanation:

Let's solve your inequality step-by-step.

−3(x+3)>15

Step 1: Simplify both sides of the inequality.

−3x−9>15

Step 2: Add 9 to both sides.

−3x−9+9>15+9
−3x>24

Step 3: Divide both sides by -3.

-3x 24

----- > -----

-3 -3

x < -8

Answer:

x < −8

7 0

1 year ago

Vhat is the volume of the right rectangular prism? Will mark brainliest

WINSTONCH [101]

Answer:

432 mm³

Step-by-step explanation:

Volume of a Rectangular Prism: V = lwh

Step 1: Define variables

l = 8

w = 6

h = 9

Step 2: Plug into formula

V = 8(6)(9)

Step 3: Evaluate

V = 48(9)

V = 432

And we have our answer!

6 0

2 years ago

A jar contains 100 coins. If it is very unlikely that you will randomly choose a quarter out of the jar, how many quarters could

lidiya [134]

Answer:

Step-by-step explanation:

5 0

2 years ago

I. What is 42% of 18? need help fast!

irina [24]

Answer:

It is 7.56!

Other:

Brainliest? Thanks!

3 0

2 years ago