Write the slope-intercept form of the equation 1) through: (1,0), parallel to y=-3x + 5

4√90 in simplest radical form.

eduard

Answer:

It’s an irrational number. 3.08007288, just round it to the nearest whole number and you’ll get 3.

7 0

2 years ago

A recipe has a ratio of 1 1/2 cups of cheese to 6 oz. of pasta. Based on this recipe, which statement is true?

yarga [219]

The ratio is 1 1/2 cups of cheese to 6 oz of pasta. All statements have 1 cup of cheese, so let's find the corresponding amount of pasta using a rule of three:

$\begin{gathered} 1\frac{1}{2}\text{ cups cheese}\to6\text{ oz pasta} \\ 1\text{ cup cheese}\to x\text{ oz pasta} \\ \\ \frac{1\frac{1}{2}}{1}=\frac{6}{x} \\ \frac{3}{2}=\frac{6}{x} \\ 3x=12 \\ x=4 \end{gathered}$

So the amount of pasta is 4 oz, therefore the correct statement is B.

5 0

11 months ago

A parking lot in the shape of a trapezoid has an area of 126 square meters. The length of one base is 8 meters, and the length o

Nata [24]

Answer:

14

Step-by-step explanation:

126/9=14

3 0

2 years ago

3.

PilotLPTM [1.2K]

Answer:

0.25 lbs for each sandwich.

3 0

3 years ago

One True Love? A survey that asked whether people agree or disagree with the statement ‘‘There is only one true love for each pe

sertanlavr [38]

Answer:

99% confidence interval for the proportion of people who disagree with the statement is [0.667 , 0.713].

Step-by-step explanation:

We are given that a survey that asked whether people agree or disagree with the statement ‘‘There is only one true love for each person." has been conducted. The result is that 735 of the 2625 respondents agreed, 1812 disagreed, and 78 answered ‘‘don’t know."

Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of people who disagree with the statement = $\frac{1812}{2625}$ = 0.69

n = sample of respondents = 2625

p = population proportion of people who disagree with statement

Here for constructing 99% confidence interval we have used One-sample z proportion statistics.

So, 99% confidence interval for the population proportion, p is ;

P(-2.58 < N(0,1) < 2.58) = 0.99 {As the critical value of z at 0.5% level

of significance are -2.58 & 2.58}

P(-2.58 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 2.58) = 0.99

P( $-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.99

P( $\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.99

99% confidence interval for p = [ $\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.69-2.58 \times {\sqrt{\frac{0.69(1-0.69)}{2625} } }$ , $0.69+2.58 \times {\sqrt{\frac{0.69(1-0.69)}{2625} } }$ ]

= [0.667 , 0.713]

Therefore, 99% confidence interval for the proportion of people who disagree with the statement is [0.667 , 0.713].

5 0

3 years ago