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3 years ago

Beth solved the system of equations by making a substitution for y in the second equation.

1 answer:

4 0

Short Answer: C
y = 4x - 11
3x + 5y = - 9

3x + 5(4x - 11) = - 9 Remove the brackets.
3x + 20x - 55 = - 9 <<<< Answer

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Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come f

AlladinOne [14]

Answer:

$z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43$

Now we can calculate the p value with the following probability:

$p_v =P(z>2.43)=0.0075 \approx 0.008$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

$\hat p=0.64$ estimated proportion of interest

$p_o=0.5$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to verify if the true proportion is higher than 0.5:

Null hypothesis: $p =0.5$

Alternative hypothesis: $p > 0.5$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43$

Now we can calculate the p value with the following probability:

$p_v =P(z>2.43)=0.0075 \approx 0.008$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

7 0

4 years ago

the cost of a personal pizza is $4. a drink cost $1. Anna wrote the equation y=4x + 1 to represent the relationship between tota

valentinak56 [21]

The correct answer should be y=4x + 1d where x equals the number of personal pizzas, and d equals the number of drinks.

She didn't account for the number of drinks ordered for more than one meal.

3 0

3 years ago

Read 2 more answers

which method for comparing fractions were you unaware of before reading? use it to compare 2/3 and 3/4

wolverine [178]

Good morning

______

Answer:

2/3 < 3/4

___________________

Step-by-step explanation:

2/3 = (2*4)/(3*4)=8/12

3/4 = (3*3)/(4*3)=9/12

Since 9/12>8/12 then 3/4>2/3

6 0

3 years ago

What form is the equation below written in? y = (x - 2)2 - 9

fgiga [73]

Answer:

linear equation

Step-by-step explanation:

it is because x has degree 1.

degree 2:- quadratic

,,. 3:- cubic

,,. 4:- bi quadratic

please follow me...my account dp is my mom's...my name is SAYAN..I am boy...

3 0

3 years ago

State the type of angles and solve for the given variable.

Evgen [1.6K]

Step-by-step explanation:

the given pair is Alternate Exterior Angle

so their values are equal so,

→ 2x + 26 = 3x - 33

→ 2x - 3x = -33 - 26

→ x = 59

therefore option C is correct

hope this answer helps you dear...take care and may u have a great day ahead!

6 0

3 years ago