If 82.5%is. Percent and it’s decimal is 0.0825 what’s the fraction

Martin recorded the low temperatures at his house for one week. The temperatures are shown below -7, -3, four, one, -2, -8, seve

Vilka [71]

5,28-(x4-3,,,,,,,,,,,,,,,,,

7 0

3 years ago

Write the mixed number as a fraction 1 1/8

Angelina_Jolie [31]

It would be 9/8

Hope this helps!

4 0

4 years ago

Read 2 more answers

Clarinex is a drug used to treat asthma. In clinical tests of this drug, 1655 patients were treated with 5- mg doses of Clarinex

bagirrra123 [75]

Answer:

$z=\frac{0.021 -0.012}{\sqrt{\frac{0.012(1-0.012)}{1655}}}=3.363$

$p_v =P(z>3.363)=0.00039$

So the p value obtained was a very low value and using the significance level given $\alpha=0.01$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is significantly higher than 0.012 (1.2%)

Step-by-step explanation:

Data given and notation

n=1655 represent the random sample taken

$\hat p=0.021$ estimated proportion of interest

$p_o=0.012$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that true proportions is higher than 0.012.:

Null hypothesis: $p \leq 0.012$

Alternative hypothesis: $p > 0.012$

When we conduct a proportion test we need to use the z statisitic, and the is given by:

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

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.021 -0.012}{\sqrt{\frac{0.012(1-0.012)}{1655}}}=3.363$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>3.363)=0.00039$

So the p value obtained was a very low value and using the significance level given $\alpha=0.01$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is significantly higher than 0.012 (1.2%)

3 0

3 years ago

A laundry basket contains 18 blue socks and 24 black socks. What is the probability of randomly picking 2 black socks, without r

lisov135 [29]

P(black socks): 24/42 or 12/21
P(black socks without replacing): 23/41. As a result, the probability of randomly picking 2 black socks, without replacement, from the basket is 12/21×23/41=276/861 or 32%. Hope it help!

6 0

3 years ago

A woman plans to use one fourth of a 48 foot x 100 foot rectangular backyard to plant garden. Find the perimeter of the garden i

nataly862011 [7]

Answer: 160ft.

Step-by-step explanation:

First find the area of the 48ft x 100ft rectangular back yard.

Area of a rectangular = L x B

= 48 x 100

= 4800ft²

Now, find 1/4 of the rectangular backyard meant for garden

= 1/4 of 4800

= 1200ft²

Step 2:

To find the perimeter of the garden,first find the length and breath of the garden. From the dimension of the garden, the length is 40ft > width. In interpreting this,

We make the width of the garden to be. B = xft,

Therefore. L = (x + 40)ft

Now equate the product of this to 1200ft

x(x + 40) = 1200

Open the bracket

x² + 40x = 1200

x² + 40x - 1200 = 0

This is now a quadratic expression. Solving for x using any methods

x² + 60x - 20x - 1200 = 0

Solving by grouping

x(x + 60) - 20(x + 60) = 0

Collect common factors here

(x + 60)(x - 20) = 0

Therefore, x = -60 or 20

Remember, x cannot be negative, so x = 20ft. The width = 20ft, and the length = 60ft.

With this, we can determine the perimeter.

Formula for perimeter of a rectangular block

= 2( L + B )

= 2( 60 + 20 )

= 2(80)

= 2 x 80

= 160ft.

8 0

3 years ago