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densk [106]
2 years ago
9

Find the number: 3/5of the number 33

Mathematics
1 answer:
GaryK [48]2 years ago
4 0

Answer:

19.8 or 19 4/5

Step-by-step explanation:

Step 1: Set up the expression.

  • \frac{3}{5} * 33

Step 2: Simplify.

  • \frac{3}{5}*33 = \frac{99}{5}
  • \frac{99}{5} = 19\frac{4}{5} = 19.8

Therefore, the answer is 19.8 or 19 4/5.

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A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Vadim26 [7]

Answer:

We conclude that deluxe tire averages less than 50,000 miles before it needs to be replaced which means that the claim is not supported.

Step-by-step explanation:

We are given that a particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8000.

From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9800 miles.

<u><em>Let </em></u>\mu<u><em> = average miles for deluxe tires</em></u>

So, Null Hypothesis, H_0 : \mu \geq 50,000 miles   {means that deluxe tire averages at least 50,000 miles before it needs to be replaced}

Alternate Hypothesis, H_A : \mu < 50,000 miles    {means that deluxe tire averages less than 50,000 miles before it needs to be replaced}

The test statistics that will be used here is <u>One-sample z test statistics</u> as we know about population standard deviation;

                                  T.S.  = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean lifespan = 46,500 miles

            \sigma = population standard deviation = 8000 miles

            n = sample of tires = 28

So, <u><em>test statistics</em></u>  =  \frac{46,500-50,000}{\frac{8000}{\sqrt{28} } }

                               =  -2.315

The value of the test statistics is -2.315.

Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is less than the critical value of z as -2.315 < -1.6449, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that deluxe tire averages less than 50,000 miles before it needs to be replaced which means that the claim is not supported.

4 0
3 years ago
Emma bought a carpet for $40. Later that carpet was marked down by 20%. By how much has the value been decreased?​
Gnoma [55]
By 8. 20 percent of 40 is 8. :)
5 0
3 years ago
Read 2 more answers
What is the radius of circle c
Oxana [17]

Answer:

radius = 13

Step-by-step explanation:

Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.

First let's find the shorter leg.

<u>Equidistant Chords Theorem</u>

Two chords are congruent if they are equidistant from the center.

Chords in the picture are congruent and that means that the distance from the center to each of them is the same!

Let's calculate the distance. But to get the distance we have to find x first.

Since the distances are the same:

x + 3 = 2x + 1\\2 = x

Therefore:

\text{distance (short leg)} = 2x + 1 = 2\cdot2 + 1 = 5

Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.

Therefore:

\text{long leg} = \frac{\text{chord}}{2} = \frac{24}{2} = 12

All that is left is the Pythagorean Theorem in the right triangle.

<u>Pythagorean Theorem</u>

\text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2

Hypotenuse in our case is the radius.

\text{radius}^2 = 5^2 + 12^2\\\text{radius}^2 = 25 + 144\\\text{radius}^2 = 169\\\text{radius} = 13

7 0
2 years ago
Which is the best approximation for the measure of angle EGF? 32.8° 40.2° 49.8° 57.2°
scoundrel [369]
Angle EGF = x

Sin x = 12/18.6

Sinx ≈ 0.6452

x ≈ Sin⁻¹(0.6452).      Use a calculator.

x ≈ 40.18°

x ≈ 40.2°

Second option.
8 0
3 years ago
Read 2 more answers
Y is the midpoint of Line xz .<br> if xz = 8x-2 and ya =2x+1 find x
faust18 [17]
Given that XZ = 8x - 2 and YZ = 2x + 1 and that Y is the midpoint of line XZ.

2YZ = XZ
2(2x + 1) = 8x - 2
4x + 2 = 8x - 2
8x - 4x = 2 + 2
4x = 4
x = 1.
3 0
3 years ago
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