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wariber [46]
3 years ago
5

Mary is making a poster to take with her to her favorite band's concert. The poster she has to decorate is 113 feet by 214 feet.

Explain how this can be used to find the total area of the poster she is decorating.
Mathematics
1 answer:
Viktor [21]3 years ago
8 0

Answer:

A = 24182  ft²

Step-by-step explanation:

The dimension of the poster she has to decorate is 113 feet by 214 feet. It is in the shape of a rectangle. She can find the area by using the formula for the area of a rectangle.

A = lb

Here, l = 113 feet and b = 214 feet

A = 113 ft × 214 ft

A = 24182  ft²

Hence, the total area of the poster is 24182  ft².

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F (x) = 3x - 5, find f (7)
evablogger [386]

Answer:

f(7) = 16

Step-by-step explanation:

substitute x = 7 into f(x) , that is

f(7) = 3(7) - 5 = 21 - 5 = 16

5 0
2 years ago
Does the quadratic function
const2013 [10]

Answer:

[0] real zeros

Step-by-step explanation:

You can use the discriminant of the quadratic formula which is b² – 4ac to determine the # of real zeros by knowing that:

  • 2 real zero(s) occur when b² – 4ac > 0.
  • 1 real zero(s) occur when b² – 4ac = 0.
  • 0 real zero(s) occur when b² – 4ac < 0.
4 0
3 years ago
A researcher wanted to see if giving a selective serotonin reuptake inhibitor (anti-depressant) would decrease the number of sel
Delvig [45]

Answer:

a. The mean of the sample is M=35.

The variance of the sample is s^2=39.125.

The standard deviation of the sample is s=6.255.

b. z=-1.6

c. SEM = 2.212

Step-by-step explanation:

The mean of the sample is M=35.

The variance of the sample is s^2=39.125.

The standard deviation of the sample is s=6.255.

<u>Sample mean</u>

<u />M=\dfrac{1}{8}\sum_{i=1}^{8}(27+25+32+40+43+37+35+38)\\\\\\ M=\dfrac{277}{8}=35

<u>Sample variance and standard deviation</u>

<u />s^2=\dfrac{1}{(n-1)}\sum_{i=1}^{8}(x_i-M)^2\\\\\\s^2=\dfrac{1}{7}\cdot [(27-(35))^2+(25-(35))^2+(32-(35))^2+(40-(35))^2+(43-(35))^2+(37-(35))^2+(35-(35))^2+(38-(35))^2]\\\\\\

s^2=\dfrac{1}{7}\cdot [(58.141)+(92.641)+(6.891)+(28.891)+(70.141)+(5.64)+(0.14)+(11.39)]\\\\\            s^2=\dfrac{273.875}{7}=39.125\\\\\\s=\sqrt{39.125}=6.255

b. If the population mean is 45, the z-score for M=35 would be:

z=\dfrac{M-\mu}{\sigma}=\dfrac{35-45}{6.255}=\dfrac{-10}{6.255}=-1.6

c. The standard error of the mean (SEM) of this group is calculated as:

SEM=\dfrac{s}{\sqrt{n}}=\dfrac{6.255}{\sqrt{8}}=\dfrac{6.255}{2.828}=2.212

4 0
3 years ago
Plz help I need help with this one question
olya-2409 [2.1K]

Answer: 99 square cm

Step-by-step explanation:

you cut the height in half, so 6 divided by 2 = 3, if you do that you have to do the same to the width, so again 6 divided by 2 = 3, the length stays the same, so the equation would be 3 X 3 X 11 = 99

5 0
2 years ago
Read 2 more answers
I have to take a pic of the question
11111nata11111 [884]

ANSWER

y=\frac{2}{3}x+\frac{4}{3}

EXPLANATION

We want to find the equation of the straight line given on the graph.

The general form of a linear equation is given as:

y=mx+b

where m = slope; b = y-intercept

To find the slope, we apply the formula for slope:

m=\frac{y_2-y_1}{x_2-x_1}

where (x1, y1) and (x2, y2) are two points on the line

Let us pick (1,2) and (4,4)

Therefore, the slope is:

m=\frac{4-2}{4-1}=\frac{2}{3}

To find the equation, we now apply the point-slope formula:

y-y_1=m(x-x_1)

Therefore, we have that the equation of the line is:

\begin{gathered} y-2=\frac{2}{3}(x-1) \\ y-2=\frac{2}{3}x-\frac{2}{3} \\ y=\frac{2}{3}x-\frac{2}{3}+2 \\ y=\frac{2}{3}x+\frac{4}{3} \end{gathered}

That is the equation of the line.

8 0
1 year ago
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