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3 years ago

Please help only part iv

Mathematics

1 answer:

satela [25.4K]3 years ago

4 0

Answer:

f(3) + f(-3) = 10

Step-by-step explanation:

f(3) = 5 - 2(3)

f(-3) = 5 - 2(-3)

f(3) + f(-3) = 5 - 2(3) + 5 - 2(-3)

f(3) + f(-3) = 5 - 6 + 5 +6

f(3) + f(-3) = -1 + 11

f(3) + f(-3) = 10

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|4a|=20 PLEASE HELPPPPPPPPPP

fgiga [73]

Answer:

The answer to |4a|=20 is a=5 or a=-5.

Step-by-step explanation:

6 0

3 years ago

If rx-st=r, which expression represents x

eduard

To get an expression relating to x you need to have x alone on one side of your equation. ie x =
Try this: 
rx - st = r 
remove st from the rx side 
rx = r + st 
now divide by r 
x = (r + st)/r 
You now have your expression relating to x

8 0

3 years ago

Read 2 more answers

Kayla is buying fruit for packed lunches. She needs to buy an assortment of at least 15 apples and oranges and spend less than $

tankabanditka [31]

Answer:

$\left\{\begin{array}{l}x+y\ge 15\\ \\0.65x+0.78y$

Step-by-step explanation:

Let x be the number of apples and y be the number of oranges Kayla buys.

She needs to buy an assortment of at least 15 apples and oranges, then

$x+y\ge 15$

Apples cost $0.65 each, then x apples cost $0.65x

Oranges cost $0.78 each, then y oranges cost $0.78y.

She spends less than $20.00, so

$0.65x+0.78y$

Not that the number of apples and oranges must satisfy inequalities

$x\ge 0\\ \\y\ge 0,$

so the following system of inequalities models this situation:

$\left\{\begin{array}{l}x+y\ge 15\\ \\0.65x+0.78y$

8 0

4 years ago

A random sample of 25 glass sheets is obtained and their thicknesses are measured. The sample mean is x= 3.54 mm and sample stan

lisabon 2012 [21]

Answer: (3.46, 3.62)

Step-by-step explanation:

The formula to find the confidence interval for population mean is given :-

$\overline{x}\ \pm\ t_{\alpha/2}\dfrac{s}{\sqrt{n}}$

, where n = sample size.

$t_{\alpha/2}$ = Two-tailed t-value for significance level of $(\alpha)$ and degree of freedom df= n-1.

$s$ = sample standard deviation.

As per given , we have

$\overline{x}= 3.54$ mm

s= 0.20 mm

n= 25

Significance level $=\alpha=1-0.95=0.05$

Since population standard deviation is not given , it means the given problem has t- distribution.

Two-tailed t-value for significance level of $(0.05)$ and degree of freedom df= 24:

$t_{\alpha/2\ ,df}=t_{0.025,\ 24}=2.0639$

95% Confidence interval for population mean:

$3.54\ \pm\ (2.0639)\dfrac{0.20}{\sqrt{25}}$

$=3.54\ \pm\ (2.0639)\dfrac{0.20}{5}$

$=3.54\ \pm\ (2.0639)(0.04)$

$=3.54\ \pm\ 0.082556$

$=(3.54- 0.082556,\ 3.54+ 0.082556 )=(3.457444,\ 3.622556)\approx(3.46,\ 3.62)$

Hence, the 95% two-sided confidence interval for the mean glass thickness = (3.46, 3.62)

7 0

4 years ago

A scientist measured the amounts of fertilizer given to plants, the heights to which the plants grew, and the amount of fruit th

pentagon [3]

Answer:

d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.

Step-by-step explanation:

The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc

As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated

Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased

Therefore the option d is correct

6 0

3 years ago

Please help only part iv ​

Please help only part iv