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STatiana [176]
3 years ago
13

What is the sum of 4/8 and 1/16

Mathematics
1 answer:
inna [77]3 years ago
8 0
4/8+1/16= > (4*2)/8+1/16=>(8+1)/16=> 9/16
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Can you help me with 4,8,and 6
aksik [14]

Answer:

4, 8, 6

Step-by-step explanation:

4 is cost, 6 is acid rain, 8 is, recycling

4 0
3 years ago
Suppose that an insect population’s density, in thousands per acre, during year n, can be modeled by the recursive formula: a1 =
vlabodo [156]

Answer:

The population alternates between increasing and decreasing

Step-by-step explanation:

<u><em>The options of the question are</em></u>

A) The population density decreases each year.

B) The population density increases each year.

C) The population density remains constant.

D) The population alternates between increasing and decreasing

we have

a_n=2.9(a_n_-_1)-0.2(a_n_-_1)^2

a_1=8

Find the value of a_2

For n=2

a_2=2.9(a_1)-0.2(a_1)^2

a_2=2.9(8)-0.2(8)^2=10.4

Find the value of a_3

For n=3

a_3=2.9(a_2)-0.2(a_2)^2

a_3=2.9(10.4)-0.2(10.4)^2=8.528

For n=4

a_4=2.9(a_3)-0.2(a_3)^2

a_4=2.9(8.528)-0.2(8.528)^2=10.1858

For n=5

a_5=2.9(a_4)-0.2(a_4)^2

a_5=2.9(10.1858)-0.2(10.1858)^2=8.7887

therefore

The population alternates between increasing and decreasing

7 0
3 years ago
Read 2 more answers
19. Describe the sequence of transformations from quadrilateral WXYZ to W"X"Y"Z"
Tpy6a [65]

Answer:

The sequence is as following:

1. Reflection 180°

2. Reflection over the line x=5  

3. Translation 2 units down.

Step-by-step explanation:

The question is as following:

Describe the sequence of transformations from Quadrilateral WXYZ to W”X”Y”Z”.

The picture is a coordinate plane with

W= (-8,8)

X= (-2,8)

Y= (-2,4)

Z= (-8,4)

W”= (2,-10)

X”= (8,-10)

Y”= (8,-6)

Z”= (2,-6)

=================================

See the attached figure

The sequence is:

Reflection 180° ⇒ Reflection over the line x=5 ⇒ translation 2 units down.

Rule of reflection 180° is (x, y) → (–x, –y)

Rule of reflection over the line x=5 is (x, y) → (–x+10 , y)

Rule of translation 2 units down is (x, y) → (x , y–2)

The way of thinking:

1. The rectangle at the second quadrant, we need make it at the fourth quadrant, so, the suitable is <u>Reflection 180°</u>

2. After reflection 180°, it is noticed that we need reverse the vertices so we need to make a reflection over its vertical axis which is at <u>x = 5</u>

3. We need to translate it 2 units down to overlap with the required coordinates.

<u>Check the points:</u>

W(-8,8) ⇒ (8,-8) ⇒ (2,-8) ⇒ (2,-10)⇒W"

X(-2,8) ⇒ (2,-8) ⇒ (8,-8) ⇒ (8,-10)⇒X"

Y(-2,4) ⇒ (2,-4) ⇒ (8,-4) ⇒ (8,-6)⇒Y"

Z(-8,4) ⇒ (8,-4) ⇒ (2,-4) ⇒ (2,-6)⇒Z"

5 0
3 years ago
{n|n &gt; -8} draw in number line
zaharov [31]

Step-by-step explanation:

please mark me as brainlest

7 0
3 years ago
The Highway Safety Department wants to study the driving habits of individuals. A sample of 32 cars traveling on the highway rev
GarryVolchara [31]

Answer:

n=126

Step-by-step explanation:

Data given and previous concepts

\bar X=60 represent the sample mean

s=11 represent the sample deviation

n=32 represent the sample size

Confidence =0.95 or 95%

\alpha =1-0.95=0.05 represent the significance level

ME= 2 represent the margin of error required

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

X \sim N(\mu, \sigma)

Solution to the problem

Since we don't have the population deviation. We know that the margin of error for a confidence interval is given by:

Me=t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The next step would be find the value of \t_{\alpha/2}, \alpha=1-0.95=0.05 and \alpha/2=0.025. The degrees of freedom are given by:

df=n-1=32-1=31

Using the normal standard table, excel or a calculator we see that:

t_{\alpha/2}=2.04

And the code in excel is this one:  "=T.INV(1-0.025,31)"

If we solve for n from formula (1) we got:

\sqrt{n}=\frac{t_{\alpha/2} s}{Me}

n=(\frac{t_{\alpha/2} s}{Me})^2

And we have everything to replace into the formula:

n=(\frac{2.04(11)}{2})^2 =125.88

And if we round up the answer we see that the value of n to ensure the margin of error required \pm=2 miles is n=126.

3 0
3 years ago
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