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kirill [66]
3 years ago
12

Marco wants to lay artificial turf in his rectangular-shaped backyard. The width of the yard is represented by the function f(x)

= 23x and the length is represented by the function g(x) = x.
Which function represents the area of artificial turf Marco needs, h(x) = f(x)g(x)?

h(x) = 24x
h(x) = 23x^2
h(x) = 23x
h(x) = 23x^2 − x
Mathematics
2 answers:
kicyunya [14]3 years ago
6 0

Answer:

b

Step-by-step explanation:

Elis [28]3 years ago
5 0

Answer:

h(x) = 23x²

Step-by-step explanation:

h(x) = f(x) × g(x)

h(x) = 23x × x

h(x) = 23x²

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The contents of seven similar containers of sulfuric acid are 9.8, 10.2, 10.4, 9.8, 10.0, 10.2, and 9.6 liters. find a 95% confi
Kamila [148]
The confidence interval is from 9.81 to 10.19.

We first find the mean of the data:

<span>(9.8+10.2+10.4+9.8+10.0+10.2+9.6)/7 = 10

Next we find the standard deviation:
</span>σ=√([<span>(9.8-10)^2+(10.2-10)^2+(10.4-10)^2+(9.8-10)^2+(10-10)^2+(10.2-10)^2+(9.6-10)^2]/7) = 0.262

The z-score for 95% confidence is found by
1-0.95 = 0.05; 0.05/2 = 0.025; from the z-table, it is 1.96.

The confidence interval is calculated using
</span>x\pm z\times (\frac{s}{\sqrt{n}})&#10;\\&#10;\\10 \pm 1.96(\frac{0.262}{\sqrt{7}})=10\pm 0.1941<span>
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7 0
3 years ago
Researchers conducted a study to find out if there is a difference in the use of ereaders by different age groups. randomly sele
ikadub [295]

No, there is significant difference in the use of e readers by different age groups.

Given sample 1 ( 29 years old) n_{1}=628, p_{1}=7%, sample 2( 30 years old)n_{2}=2309, p_{2}=0.11.

We have to first form hypothesis one null hypothesis and other alternate hypothesis.

H_{0}:π1-π2=0

H_{1}:π1-π2≠0

α=0.05

Difference between proportions p_{1}-p_{2}  =-0.04

p_{d}=0.07-0.11=-0.04

The pooled proportion needed to calculate standard error is:

p=(X_{1} -X_{2} )/(n_{1} +n_{2} )

=(44+254)/(628+2309)

=0.10146

The estimated standard error of difference between means is computed using the formula:

S_{p_{1} -p_{2} }=\sqrt{p(1-p)/m_{1}+p(1-p)/n_{2}  }

=\sqrt{0.101*0.899/628+0.101*0.899/2309}

=\sqrt{0.000143+0.00003}

=\sqrt{0.000173}

=0.01315

Z= Pd-(π1-π2)/S_{p_{1} -p_{2} }

=-0.04-0/0.013

=-3.0769

This test is a two tailed test so the p value for this test is calculated as (using z table)

p value:2 P(Z<-3.0769)

=2*0.002092

=0.004189

P value< significance level of 5%.

Hence there is enough evidence to show the claim that there is a significant difference in the use of e readers by different age groups.

Learn more about hypothesis at brainly.com/question/11555274

#SPJ4

Question is incomplete as it also includes:

Significance level of 5%.

4 0
2 years ago
Find the area of the polygon defined by the coordinates (0, -5), (-5, 0), (-15, -20), and (-20, -15). A) 90 square units B) 110
kolezko [41]

Answer: E. 150 square units.

Step-by-step explanation:A polygon is figure with at least 3 straight or definite sides or typically 5 or more straight sides.

Here the polygon we are given is a rectangle.

We know that,

Area of a rectangle = l x w

so we need to measure the length and width of the rectangle to find its area.

If we look closely, we can see the length of the rectangle above the x-axis is 8 units and the length below the x-axis 7 units which makes a total og 15 units.

5 0
3 years ago
Read 2 more answers
The sum of -3 times a number and 0.3 is at most 6.3. What are all the possible
densk [106]

Answer:

Step-by-step explanation:

Lets write an equation for this :)

So, the sum of -3 times a number and 0.3

This would be : -3x +0.3

Is at most, 6.3

so, it is equal to, or less than 6.3

-3x +0.3 <u><</u> 6.3

Now lets solve!

x<u>> </u>-2

the number is greater than or equal to -2

5 0
3 years ago
Choose the equivalent system of linear equations that will produce the same solution as the one given below.
dmitriy555 [2]
<span>C: 3x + 2y = 6
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Tell me if this helps, Have a great day!</span>
6 0
3 years ago
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