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timama [110]
3 years ago
5

Tyson saved 500 dollars for a week-long vacation. He did not keep close track of how much he spent the first three days. On the

fourth day, he had 225 dollars. Write an equation to represent the amount he spent in the first three days.
Mathematics
1 answer:
Luda [366]3 years ago
8 0

Answer:

$275

Step-by-step explanation:

To find the amount Tyson spent the first three days, subtract 225 from 500. He spent x amount.

So 225 + x = 500.

x = 500 - 225

x = 275

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Find the volume of the cylinder whose base area is (4x)2 and height is (5x)2.
Gre4nikov [31]

Answer:

Step-by-step explanation:

The computation of the volume of the cylinder is shown below:

As we know that

The Volume of the cylinder is

= base × height

= (4x)^2 + (5x)^2

=16x^2 + 25x^2

= 41x^3

Hence, the volume of the cylinder is 41x^3

4 0
2 years ago
Bottles of a popular cola drink are supposed to contain 300 ml of cola. There is some variation from bottle to bottle because th
Ksju [112]

Answer:

We conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

Step-by-step explanation:

We are given that Bottles of a popular cola drink are supposed to contain 300 ml of cola. The distribution of the contents is normal with standard deviation of 3 ml.

A student who suspects that the bottler is under-filling measures the contents of six bottles. The results are: 299.4, 297.7, 301.0, 298.9, 300.2, 297.0

<u><em>Let </em></u>\mu<u><em> = mean contents of cola bottles.</em></u>

SO, Null Hypothesis, H_0 : \mu \geq  300 ml   {means that the mean contents of cola bottles is more than or equal to the advertised 300 ml}

Alternate Hypothesis, H_A : \mu < 300 ml   {means that the mean contents of cola bottles is less than the advertised 300 ml}

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

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

where, \bar X = sample mean contents of cola bottle = \frac{\sum X}{n} = 299.03 ml

            \sigma = population standard deviation = 3 ml

            n = sample of bottles = 6

So, <em><u>test statistics</u></em>  =  \frac{299.03-300}{\frac{3}{\sqrt{6} } }     

                               =  -0.792

<em>Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is more than the critical value of z as -0.792 > -1.6449, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>

Therefore, we conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

8 0
3 years ago
If the angle of elevation to a pole is 67 degrees and the wire is attached to the ground at a point 137 feet from the base of th
Dmitrij [34]
Tan67=h/137

h=137tan67

h≈322.751 ft

h≈322.75 ft  (to nearest hundredth of a foot)
6 0
3 years ago
A furniture store had a chair that cost $33. After a few months the owner owner took 9% off the price. How much is the chair now
yawa3891 [41]

Answer:

$30.03

Step-by-step explanation:

To find what 9% of 33 is we need to divide 9% by 1

9% ÷ 1 = 2.97

33 - 2.97 = 30.03

4 0
3 years ago
Read 2 more answers
What is g(x-5) when g(x)=-2x+4?
Oksi-84 [34.3K]
G(-2x + 4 - 5)g(-2x -1)
I think this is how you start it?? not sure
4 0
3 years ago
Read 2 more answers
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