A circle has an area of 1075.21 m^2
What is the radius to the nearest 1 decimal x.x

Answer:

z < -2

g is indeterminate

Step-by-step explanation:

For the inequality Z - ( -7 ) < 5

open the parenthesis

z+7 < 5

Subtract 7 from both sides

z+7-7 < 5-7

z < -2

For 8(3g - 2) <= 12(2g + 1)

Expand

24g -16 ≤ 24g + 12

24g - 24g ≤  12+18

0g≤  28

g ≤  28/0

Hence g is indeterminate

Answer:

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Of the 2809 people who responded to survey, 1634 stated that they currently use social media.

This means that [tex]n = 2809, \pi = \frac{1634}{2809} = 0.5817[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 - 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.56[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 + 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.6034[/tex]

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

Answer:

Area = pi * r^2

r is half of the diameter

Area = pi * 14^2

Area = 196 pi

196 * 3.14

Area is approximately 615.44 cm^2

Step-by-step explanation:

i)Initial School population,

given 15 units = 1200

1 unit =

[tex]1200 \div 15 \\ = 80[/tex]

Number of teachers (initial) = 1 unit = 80.

ii)take j = number of teachers joining the school.

New teacher population = 80+j

[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]

Answer: 10,000 possible solution

Step-by-step explanation:

Answer:

96 is the answer and it has always been the answer

Answer:

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Answer:

26 pi

Step-by-step explanation:

Answer:

531

Step-by-step explanation:

first the formula for finding the circumference of a circle is πr2

where π = 22/7

r = 13x13

hence, circumference = πr2

= 22/7 x 13 x 13

= 22/7 × 169

= 22 x 169/7

= 3718/7

= 531 cm

Answer:

C. 1/x

Step-by-step explanation:

Sana nakatulong

Answer:

D

Step-by-step explanation:

Answer:

B. 20

Step-by-step explanation:

x + 40 = 3x

x - x + 40 = 3x - x

40 = 2x

20 = x

Answer:

A = 6x^2+3x-3

Step-by-step explanation:

expand the first term: [tex]4x^2-4x+1+\left(2x-1\right)\left(x+4\right)[/tex]

multiply the second terms: [tex]4x^2-4x+1+2x^2+7x-4[/tex]

simplify by combining like terms: [tex]6x^2+3x-3[/tex]

oui, je parle un peu de francais. <<Développer>> = expand et <<réduire>> = simplify.  

Answer: 23.94 cm

Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.

I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.

Answer:

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%

Step-by-step explanation:

Let the sum invested at interest rate of 5% be X

Let the sum invested at interest rate of 3% be Y

As we know

[tex]X + Y = 15000[/tex] - Eq (1)

[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]

[tex]5X + 3Y = 62000[/tex] ---Eq (2)

Multiplying Eq (1) by 3 we get -

[tex]3X + 3Y = 45000[/tex]

Substract Eq (1) from Eq (2) we get

[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%

Answer:

A. 90°+m∠4

Step-by-step explanation:

Also  

∠ A + ∠ C = 180  o = ∠ B + ∠ D

⇒ 2 x+ ( 3 x − 5 ) = 180  0 = ( x + 5 ) +  ∠  C

5 x  −  5  =  180

Add 5 to both sides

5 x  =  185

Divide both sides by 5

x =  185  5  =  37

But it was A. 90°+m∠4

The equation to use to find angle m∠3 is 180 - m∠1.

Option B is the correct answer.

We have,

In a quadrilateral the opposite angle is supplementary.

This means,

The sum of the opposite angles is 180.

Now,

m∠1 + m∠3 = 180

Solving for m∠3.

m∠3 = 180 - m∠1

Thus,

The equation to use to find angle m∠3 is 180 - m∠1.

Learn more about quadrilaterals here:

https://brainly.com/question/1563728

#SPJ6

The equation of the function shown in the graph would be [tex]y=0.5sec[2(x+\pi)]-4[/tex].

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

This is the graph of y = sec x that is shifted down 2 units and shifted to the left π/3 units.

When x=0,

[tex]y = 0.5sec[2(x+\pi)]-4\\\\y = 0.5sec[2(x+\pi/3)]-4\\\\y = 1-2\\\\y = -1[/tex]

Thus, The y-intercept is -1.

Learn more about finding the graphed function here:

https://brainly.com/question/27330212

#SPJ2

Answer:

234 square inches

Step-by-step explanation:

Ok take this shape step by step. First solve the rectangle.

The area of the rectangle would be: 24 * 8 = 192

Rectangle Area: 192

Then, solve the area for the triangle in the middle.

The area of that triangle would be: 8 * 3 divided by 2. You get 8 by the base of the triangle, 4 + 4. 3 is of course, the height. Lastly, you divide this by 2 because that is the formula for the area of a triangle. When you solve, you get 12.

Middle Triangle Area: 12

Then solve for the last triangle.

Doing the same thing, the area for that triangle is 12 * 5 divided by 2. So solve, 12*5 = 60, 60/2 = 30

Last Triangle area: 30

Finnally, add all the areas up,

192 + 12 + 30 = 234

Answer:

the first one its 100 degrees

the second question is acute i think

and the last one is right

Step-by-step explanation: sorry if its wrong :(

Answer:

y = 1/4 x - 7/2

Step-by-step explanation:

x - 4y = 14

-4y = -x + 14

y = -x/(-4) - 14/4

y = 1/4 x - 7/2

Answer:

my answer is the 500 or 5

Step-by-step explanation:

I'm saying that because some books write for you the zeros and other write for you the zeros if you find the book saying 500 that's the answer if the book is saying 5 that's the answer but don't say they're both correct answers nice to help you.

Answer:

[tex]Total = 18\frac{1}{4}[/tex]

Step-by-step explanation:

Given

The attached line plot

Required

The total

To do this, we simply multiply each grass seed by the frequency (i.e. number of dots), then add up the results.

So, we have:

[tex]Total = \frac{1}{4} * 2 + \frac{1}{2} * 3 + \frac{3}{4} * 1 + 1 * 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3[/tex]

[tex]Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3[/tex]

Convert fractions to improper fraction

[tex]Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} * 1 + \frac{3}{2} * 3 + \frac{7}{4} * 1 + 6[/tex]

[tex]Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} + \frac{9}{2} + \frac{7}{4} + 6[/tex]

Add fractions

[tex]Total = 18\frac{1}{4}[/tex]

Hence, the total amount is: [tex]18\frac{1}{4}\b[/tex] pounds

Solution :

According to the question, let

A : winning first scholarship

B : winning second scholarship

So for the first scholarship, there are five finalist and only two scholarship will be awarded. And for the second scholarship there are five finalist and only one scholarship will be awarded.

Therefore,

[tex]$P(A)=\frac{2}{5}$[/tex]   and    [tex]$P(B)=\frac{1}{5}$[/tex]

1. So, [tex]$P(A \cap B ) = P(A) P(B)$[/tex]

                      [tex]$=\frac{2}{5} \times \frac{1}{5}$[/tex]

                      [tex]$=\frac{2}{25}$[/tex]                

2. [tex]$P(A \cup B) = P(A)+P(B)-P(A)P(B)$[/tex]

                   [tex]$=\frac{2}{5}+\frac{1}{5}-\frac{2}{25}$[/tex]

                   [tex]$=\frac{13}{25}$[/tex]

3. She should apply to both the scholarships, so as to have a maximum chances of winning at least one scholarship.

Answer: There are 22 adults , 12 children and 11 senior citizens on the tour bus.

Step-by-step explanation:

Let adult = x

children = y

senior citizen = z

Given : Total busload (x+ y + z) = 45

Total charge on day 1 = 558 $ = [tex]15\times x+8\times y+12\times z[/tex]

Total charge on day 2 = 771 $ =  [tex]20\times x+12\times y+17\times z[/tex]

Now we have 3 equations : x+ y+z =45

[tex]15\times x+8\times y+12\times z=558[/tex]

[tex]20\times x+12\times y+17\times z=771[/tex]

Solving for them we get: x= 22 , y = 12 and z= 11

Thus there are 22 adults , 12 children and 11 senior citizens.

Answer:

a) 21

b) 3905.44236

c) 251.94689

d) 1763.62824

Step-by-step explanation:

a) 42÷2=21

b) 60x42=2520

[tex]\pi[/tex]r²=1385.44236

2520+1385.44236=3905.44236

c) 2x[tex]\pi[/tex]x21=131.94689+60+60=251.94689

d) 251.94689x7=1763.62824

Answer: 69.09% is the percentage. 0.6909 is the decimal

Step-by-step explanation:

hope this helps! you don't have to but maybe mark as brainliest?