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galina1969 [7]
3 years ago
13

Simplify: 4 x 3^2 - 3 + 5 x 2 =

Mathematics
2 answers:
ad-work [718]3 years ago
6 0

Answer:

14-1x.

Step-by-step explanation:

adell [148]3 years ago
3 0

Answer:

43

Step-by-step explanation:

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10. A manufacturer wanted to know if more coupons would be redeemed if they were mailed to the
Mandarinka [93]

Using the t-distribution, it is found that the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is no difference, that is, the mean is of 0, hence:

H_0: \mu = 0

At the alternative hypothesis, it is tested if the mean number is greater for females, that is, the mean is greater than 0, hence:

H_1: \mu > 0

<h3>What is the test statistic?</h3>

The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

In this problem, the parameters are given as follows:

\overline{x} = 1.5, \mu = 0, s = 4.75, n = 50.

Hence, the test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{1.5 - 0}{\frac{4.75}{\sqrt{50}}}

t = 2.23

<h3>What is the conclusion?</h3>

Considering a <em>right-tailed test</em>, as we are testing if the mean is greater than a value, with a <em>significance level of 0.01 and 50 - 1 = 49 df</em>, the critical value is given by t^{\ast} = 2.4.

Since the test statistic is less than the critical value for the right-tailed test, the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.

More can be learned about the t-distribution at brainly.com/question/26454209

5 0
2 years ago
A rectangle is 13 centimeters wide and 18 centimeters long. how long is its diagonal
Naddika [18.5K]
You have to use the Pythagorean theorem a squared plus b squared is c squared so 13 squared plus 18 squared equals c squared. 13x13=169 18x18=324 169+324=493 so c squared is 493 to get c you square root 493 which equals 22.2 so the diagonal, c, is 22.2 centimeters long
7 0
3 years ago
HURRY!!!!<br> What is the equation of the line shown in this graph?
zalisa [80]

Answer:

x = - 2

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

Where c is the value of the x- coordinates the line passes through.

The line passes through (- 2, - 3) and (- 2, 2)

Both of these points have an x- coordinate of - 2, thus

x = - 2 ← equation of line

3 0
3 years ago
Solve 2 1/2 divided by 5 1/3 = 8/x
ipn [44]
2\frac { 1 }{ 2 } \quad divided\quad by\quad 5\frac { 1 }{ 3 } \\ \\ 2\frac { 1 }{ 2 } =2+\frac { 1 }{ 2 } =\frac { 5 }{ 2 } \\ \\ 5\frac { 1 }{ 3 } =5+\frac { 1 }{ 3 } =\frac { 15+1 }{ 3 } =\frac { 16 }{ 3 } \\ \\ \\ \frac { \frac { 5 }{ 2 }  }{ \frac { 16 }{ 3 }  }

We're dividing fractions, so we will flip the one in the denominator upside down and we will multiply it with the numerator.

\frac { \frac { 5 }{ 2 }  }{ \frac { 16 }{ 3 }  } \quad =\quad \frac { 5 }{ 2 } \cdot \frac { 3 }{ 16 } =\frac { 5\cdot 3 }{ 2\cdot 16 } =\frac { 15 }{ 32 }

Let's equal this too 8/x

\frac { 15 }{ 32 } =\frac { 8 }{ x }

Cross multiply. 

8\cdot 32=15\cdot x\\ \\ 256=15x

Divide both sides by 15.

\frac { 256 }{ 15 } =\frac { 15x }{ 15 } \\ \\ \frac { 256 }{ 15 } =x

4 0
3 years ago
PLS HELP SHOW ALL YOUR WORKING OUT :D <br> BRAINLIEST
vazorg [7]

Answer:

18.1 cm

Step-by-step explanation:

Work out CD

\sqrt{16^{2}-7^{2}  } = 14.38749457 ⇒ Pythagoras Theorem

Use CD and AD to work out AC

\sqrt{14.38749457^{2}+11^{2}  } = 18.11077028 ⇒ Pythagoras Theorem

6 0
3 years ago
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