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ANEK [815]
3 years ago
14

Please answer this I will give brainliest thank you very much for your help

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Answer:

486yd^2

Step-by-step explanation:

Surface area is found by adding all the areas of like shapes.

All of these are the exact same size, so we can just multiply by the number of squares by their area.

So:

A=6(9)(9)\\A=6(81)\\A=486yd^2

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The equation of line CD is y = −2x − 2. What is the equation of a line parallel to line CD in slope-intercept form that contains
aniked [119]

Answer:

\[y=-2x+13\]

Step-by-step explanation:

Equation of the line CD is given as \[y=-2x-2\]

Slope of the line CD = -2

Slope of the line parallel to CD = -2

Equation of the line parallel to CD is given by \[y=mx+c\]

\[y=-2x+c\]

But this line passes through (4,5)

Substituting the values in the equation:

\[5=-2*(4)+c\]

=> \[c=5+8=13\]

So the overall equation of the parallel line is given by \[y=-2x+13\]

6 0
3 years ago
Iron deficiency anemia is an important nutritional health problem in the U.S. A dietary assessment was performed on 51 boys 9-11
Bond [772]

Answer:

a) Null hypothesis:\mu = 14.44    

Alternative hypothesis:\mu \neq 14.44    

b) t=\frac{12.50-14.44}{\frac{4.75}{\sqrt{51}}}=-2.917    

The degrees of freedom are given by:

df =n-1= 51-1=50

Now we can calculate the p value taking in count the alternative hypothesis

p_v =2*P(t_{50}

Since the p value is lower than the significance \alpha=0.05 we have enough evidence to reject the null hypothesis and the true mean is significantly different from 14.44

c) 12.50 -2.01 \frac{4.75}{\sqrt{51}}= 11.163

12.50 +2.01 \frac{4.75}{\sqrt{51}}= 13.837

Step-by-step explanation:

Information given

\bar X=12.50 represent the mean for the daily iron intake

s=4.75 represent the sample deviation

n=51 sample size    

\mu_o =14.44 represent the reference value  

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic

p_v represent the p value for the test

Part a

We want to test if the mean iron intake among the low-income group is different from that of the general population, the system of hypothesis would be:    

Null hypothesis:\mu = 14.44    

Alternative hypothesis:\mu \neq 14.44  

Part b  

Since we don't know the population deviation the statistic would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

Replacing the info we got

t=\frac{12.50-14.44}{\frac{4.75}{\sqrt{51}}}=-2.917    

The degrees of freedom are given by:

df =n-1= 51-1=50

Now we can calculate the p value taking in count the alternative hypothesis

p_v =2*P(t_{50}

Since the p value is lower than the significance \alpha=0.05 we have enough evidence to reject the null hypothesis and the true mean is significantly different from 14.44

Part c

The confidence interval would be given by:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}

For the 95% confidence interval we can find the critical value in a t distribution with 50 degrees of freedom and we got:

t_{\alpha/2}= 2.01

And replacing we got:

12.50 -2.01 \frac{4.75}{\sqrt{51}}= 11.163

12.50 +2.01 \frac{4.75}{\sqrt{51}}= 13.837

7 0
3 years ago
Express the fraction in simplest form.
blagie [28]
4/16 in simplest form:

First, we need to find the greatest common factor (GCF) of 4 and 16. Why? We have to find the number that we are going to be dividing the numerator and denominator by to get the simplest form of the fraction. Let's list the factors for 4 and 16:

Factors of 4: 1, 2, 4
Factors of 16: 1, 2, 4, 8, 16

Out of the two sets of factors, which ones are the common ones? The common factors between the two are 1, 2, and 4. Since we are looking for the GREATEST common factor, we have to look at the highest number out of 1, 2, and 4. The GCF is 4, since 4 is higher than 1 and 2.

Second, we now have a number that we are going to divide the numerator and denominator by, which is 4. The numerator is the top number of the fraction (4) and the denominator is the bottom number of the fraction (16).Let's divide now.

4 \div 4 = 1 \\ 16 \div 4 = 4

Third, we now have the simplified fraction. (1) is our new numerator, and (4) is our new denominator. This makes the new simplified fraction 1/4. So, your answer is C.

Answer in fraction form: \fbox {1/4}
Answer in decimal form: \fbox {0.25}
4 0
3 years ago
Read 2 more answers
A pet store sells an average of 185 pounds of birdseed in a month. The birdseed comes in 5 pound bags. Which equation can be use
bearhunter [10]

Answer:

37.

Step-by-step explanation:

185 ÷ 5 = 37

5 x 37 = 185

The store sells an average of 37 bags of birdseed each month.  

4 0
3 years ago
Which function has the greatest rate of change? A. x y 3 3 4 6 5 9 B. y = 4 + 6x C. 12x + 6y = 18 D. A linear function that goes
Alex787 [66]

Answer:

B. y = 4 +  6x

Step-by-step explanation:

We know that the rate of change of a straight line is equal to the slope of the line.

Now, the general form of a straight line is y = mx + b, where m is the slope and b is the y-intercept.

Also, the slope of a line joined by ( x_{1},y_{1} ) and ( x_{2},y_{2} ) is given by m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}.

So, using these, we will find the slopes of the lines given in the options.

A. Here, we are given two points (3,3) and (4,6). Then, the slope is given by,

m_{1}=\frac{6-3}{4-3} i.e. m_{1}=3.

B. We have the equation of line y = 4 + 6x. On comparing it with the general form, we get that the slope is 6 i.e. m_{2}=6.

C. We are given the standard form of a line. First, we convert it into the slope-intercept form ( or the general form ).

i.e. 12x + 6y = 18 → 2x + y = 3 → y = -2x + 3

Now, on comparing this equation with the general form of a line, we get that the slope is -2. i.e. m_{3}=-2.

D. Here, we are given a linear function passing through (1,-1) and (0,4). Then the slope is given by,

m_{1}=\frac{4+1}{0-1} i.e. m_{4}=-5.

Hence, we obtain that the function y=4+6x has the greatest slope or the greatest rate of change i.e. m_{2}=6.

6 0
3 years ago
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