State 7 m to 250 cm as a ratio in its lowest terms

A study by Consumer Reports showed that 64% of supermarket shoppers believesupermarket brands to be as good as national brands.

Elina [12.6K]

Answer:

$z=\frac{0.614 -0.64}{\sqrt{\frac{0.64(1-0.64)}{145}}}=-0.652$

The p value would be given by:

$p_v =P(z$

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance

Step-by-step explanation:

Information given

n=145 represent the random sample taken

X=89 represent the number of people who believed the supermarket brand was as good as the national brand

$\hat p=\frac{89}{145}=0.614$ estimated proportion of people who believed the supermarket brand was as good as the national brand

$p_o=0.64$ is the value to test

$\alpha=0.05$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true proportion is less than 0.64, the system of hypothesis are.:

Null hypothesis: $p \geq 0.64$

Alternative hypothesis: $p < 0.64$

The statistic is given by:

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

Replacing the info we got:

$z=\frac{0.614 -0.64}{\sqrt{\frac{0.64(1-0.64)}{145}}}=-0.652$

The p value would be given by:

$p_v =P(z$

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance

5 0

3 years ago

What is the slope of each side of the triangle? the sides are A(-2,4) B(-1,1) C(2,3)

Rashid [163]

Answer:

The slopes of three sides of triangle are as follows:

AB = -3

BC = 2/3

AC = -1/4

Step-by-step explanation:

The slope is denoted by m and is calculated using the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

The given vertices are:

A(-2,4) B(-1,1) C(2,3)

The sides will be:

AB, BC, AC

Let m1 be the slope of AB

Let m2 be the slope of BC

Let m3 be the slope of AC

Now

$Slope\ of\ AB = m_1 = \frac{1-4}{-1+2} = \frac{-3}{1} = -3\\Slope\ of\ BC = m_2 = \frac{3-1}{2+1} = \frac{2}{3}\\Slope\ of\ AC = m_2 = \frac{3-4}{2+2} = \frac{-1}{4} = -\frac{1}{4}$

Hence,

The slopes of three sides of triangle are as follows:

AB = -3

BC = 2/3

AC = -1/4

6 0

3 years ago

The revenue of Apple® went from $54.5 billion in 2013 to $74.6 billion in 2015. Find an exponential function to model the revenu

Romashka-Z-Leto [24]

74.6 - 54.5 = 20.1

20.1/2 = 10.05

54.5/74.6 = 0.731 (rounded)

Apple makes 10.05 billion more every year. The percent growth rate is about 73.1% a year.

8 0

3 years ago

-11=-11a+33 what is the answer I’m stuck

Gnesinka [82]

A=4

The work behind it

-11a+33= -11
-33 -33

-11a=-44
Divide both sides by -11
-44/-11=a
A=4

5 0

3 years ago

1.8 divide by 0.72 explain

ASHA 777 [7]

Answer:

0.40

Step-by-step explanation:

Change the divisor 1.8 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

7.2 ÷ 18 = 0.40

and therefore:

0.72 ÷ 1.8 = 0.40

Both calculated to 2 decimal places.

8 0

3 years ago