Rotate the image 180° about the origin. Give the new coordinates of the image.

Multiply each pair of numbers -4.25x(-1.25)=

hoa [83]

The answer is 5.31245

7 0

2 years ago

It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work i

Salsk061 [2.6K]

Answer:

$(-\infty, 0.2661)$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

n=60 represent the sample size

X=12 represent the number of masks that had lenses pop out at 250°

$\hat p =\frac{12}{60}=0.2$ represent the estimated proportion of masks that had lenses pop out at 250°

p represent the population proportion of masks that had lenses pop out at 250°

Confidence =0.9 or 90%

$\alpha=0.1$ represent the significance level

Confidence interval

On this case we want a interval on this form : $(-\infty,\hat p +z_{\alpha}\sqrt{\frac{\hat p (1-\hat p)}{n}})$

So the critical value would be on this case $z_{\alpha}=1.28$ and we can use the following excel code to find it: "=NORM.INV(1-0.1,0,1)"

We found the lower limit like this:

$0.2 +1.28\sqrt{\frac{0.2 (1-0.2)}{60}}=0.2661$

And the interval would be: $(-\infyt, 0.2661)$

3 0

3 years ago

A woman plans to buy some bottles of alcohol, a bottle of Heineken goes for $800 while that of monster drink $250. she doesn't h

Alja [10]

Answer:

The inequalities that must be satisfied is

$x + y \leq 32$

$x(800) + y(250) \leq 3500$

Step-by-step explanation:

Let the number of Heineken bottles be x

Let the number of monster drink bottles be y

Her crate cannot hold more than 32, This situation can be represented as

$\text{Number of Heineken bottles + number of monster drink bottles } \leq 32$

That is

$x + y \leq 32$ ------------------------(1)

Cost of one Heineken bottles = $800

Cost of one monster drink bottles = $250

then

$x \times \text{cost of one Heineken bottle } + y \times \text{ cost of one monster drink bottle} \leq 3500$ x

$x(800) + y(250) \leq 3500$ ------------------(2)

5 0

3 years ago

Mr. Jones wants to add a cement path around his new pool. The pool has a radius of 7 feet. The cement path will be 1 foot wide a

Aleonysh [2.5K]

The square footage of the path is 47.1 ft²

The area of a circle is:

A = πr²

Where r is the radius of the circle.

Let us assume that the pool is a circle.

Given that the pool has a radius (r₁) of 7 feet and a path 1 foot wide would go round the pool.

Radius of pool and cement path (r₂) = 7 ft + 1 ft = 8 ft.

The square footage of the path = πr₂² - πr₁² = π*8² - π * 7² = 47.1 ft²

Hence The square footage of the path is 47.1 ft²

Find out more at: brainly.com/question/23328170

7 0

2 years ago

A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same

Varvara68 [4.7K]

Volume of prism = 5 x 5 x 12 = 300 cubic centimeters

Volume of pyramid = 5 x 5 x 6 = 150 cubic centimeters

Volume of space = 300 - 150 = 150 cubic cm

5 0

3 years ago

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