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3 years ago

A rectangle has sides measuring (2x + 5) units and (3x + 12) units.

Mathematics

1 answer:

JulsSmile [24]3 years ago

6 0

Answer:

Step-by-step explanation:

Area = (2x+5)( 3x+12) square units

= 6x² + 39x + 60 square units

Trinomial

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HELP!<br> (5 + x)(5 - x) = 7 is a quadratic equation.<br> true or false

arlik [135]

True, this equation is a quadratic equation,.

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3 years ago

Read 2 more answers

What is the height of the cone below?

melisa1 [442]

The formula of a volume of a cone:

$V=\dfrac{1}{3}Bh[/rex]B - area of a baseh - heightWe have[tex]V=90\ cm^3,\ B=18\ cm^2$

Substitute:

$90=\dfrac{1}{3}\cdot18\cdot h\\\\90=6h\qquad|\text{divide both sides by 6}\\\\15=h\to h=15$

<h3>Answer: 15 cm.</h3>

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4 years ago

Maggie and her friends are each able to recruit a certain number of people each year to sample a product. The number of people p

sergeinik [125]

A function assigns the values. The number of people that were recruited in year 6 is 192.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given that the number of people per year is represented by the function $f(t)=3(2)^t$ .

In the given function, t represents the number of years.

Now, the number of people that were recruited in year 6 can be calculated by putting the value of t as 6 in the given function,

$f(t)=3(2)^t$

f(6) = 3(2)⁶

= 3(64)

= 192

Hence, the number of people that were recruited in year 6 is 192.

Learn more about Function here:

brainly.com/question/5245372

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4 0

2 years ago

In analyzing the city and highway fuel efficiencies of many cars and trucks, the mean difference in fuel efficiencies for the 60

Olegator [25]

Answer:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

$7.38+1.96\frac{2.51}{\sqrt{601}}=7.58$

For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

Step-by-step explanation:

Data provided

$\bar X=7.38$ represent the sample mean for the fuel efficiencies

$\mu$ population mean

s=2.51 represent the sample standard deviation

n=601 represent the sample size

Confidence interval

The formula for the confidence interval of the true mean is given by:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom for this case is given by:

$df=n-1=601-1=600$

The Confidence level for this case is 0.95 or 95%, and the significance level $\alpha=0.05$ and $\alpha/2 =0.025$ and the critical value is given by $t_{\alpha/2}=1.96$

Replcing into the formula for the confidence interval is given by:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

$7.38+1.96\frac{2.51}{\sqrt{601}}=7.58$

For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

8 0

4 years ago

Is a number of television in a household a discrete quantitative or continuous quantitative

mezya [45]

discrete, you cannot have 1.5 televisions

generally the number of X is a discrete variable.

continous = can contain decimal value (float values)

discrete = no decimal (integers)

7 0

3 years ago