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pickupchik [31]

2 years ago

7

6 calculators cost $160 what is the rate and the unit rate

1 answer:

BigorU [14]2 years ago

6 0

Answer:

$\dfrac{\$160}{6~calculators}$

$\dfrac{\$26.67}{calculator}$

Step-by-step explanation:

The rate for the 6 calculators is

$\dfrac{\$160}{6~calculators}$

To find the unit rate, divide 160 by 6.

The unit rate is

$\dfrac{\$26.67}{calculator}$

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In a study to establish the absolute threshold of hearing, 80 male college freshmen were each seated in a soundproof room and a

Norma-Jean [14]

Answer:

Step-by-step explanation:

Hello!

To study the threshold of hering the researcher took a random sample of 80 male college freshmen.

The students underwent an audiometry test where a tome was played and they had to press a button when they detected it. The researcher recorded the lowest stimulus level at which the tone was detected obtaining a sample mean of X[bar]= 22.2 dB and a standard deviation of S= 2.1 dB

To estimate the population mean, since we don't have information about the variable distribution but the sample size is greater than 30, you can use the approximation of the standard normal distribution:

X[bar] ± $Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }$

Where the semiamplitude or margin of error of the interval is:

d= $Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }$

Using a 95% level $Z_{0.975}= 1.965$

d= 1.965 * $\frac{2.1}{\sqrt{80} }$

d= 0.46

The point estimate of the population mean of the threshold of hearing for male college freshmen is X[bar]= 22.2 db

And the estimation using a 95%CI is [21.74;22.66]

I hope this helps!

8 0

2 years ago

A travel trailer is bought at the price of $35,000. The value decreases at the rate of .25 every year (t). The exponential expre

Colt1911 [192]

The answer might be D I don’t understand either

3 0

3 years ago

A store sells blank T-shirts for $9.99 each. Buyers can customize shirts with holographic letters that cost 79 cents each. Alici

seropon [69]

Answer:

$420.69

Step-by-step explanation:

if you do some thinking, you'll easily find out the answer is $420.69

not only is it a funny number, it's also a NICE amount of cash i would really love to have. anyways, hope this helps!

P.S: i have all A's in school ;)

5 0

2 years ago

How to solve these two problems ？

puteri [66]

8) $\theta$ is -0.896 radians

9) length of arc is 41.91 cm

Solution:

8)

Given that,

$tan\ \theta = \frac{-5}{4}$

$\theta$ is in quadrant 4

To find: $\theta$

From given,

$tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34$

Thus value of $\theta$ is -51.34 degrees

Convert degrees to radians

$-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian$

Thus $\theta$ is -0.896 radians

9)

From given,

radius = 15.4 cm

$\theta = \frac{13 \pi }{15}$

<em><u>The length of arc when angle in radians is:</u></em>

$arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91$

Thus length of arc is 41.91 cm

4 0

2 years ago

One bag contains 4 red chips and 9 yellow chips. Another bag contains 9 red chips and 3 yellow chips. A chip is drawn from each

VARVARA [1.3K]

A is the correct answer. The correct answer is A

3 0

2 years ago