What is the missing number?

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:

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:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

150 x .2 = 30

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).

9514 1404 393

Answer:

Step-by-step explanation:

The equation can be put into standard form by "completing the square" for each variable. The x-term is already a square, so we need do this only for the y-term.

  x^2 +(y^2 -6y) = -1

  x^2 +(y^2 -6y +9) = -1 +9 . . . . . . add (-6/2)^2 to complete the square

  x^2 +(y -3)^2 = 8 . . . . standard form equation

__

Comparing the above equation to the form:

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . . circle centered at (h, k), radius r

we see that (h, k) = (0, 3) and r^2 = 8 ⇒ r = 2√2.

The center point is (0, 3); the radius is 2√2.

Answer:the width is 3 feet

Step-by-step explanation:

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.

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: 10,000 possible solution

Step-by-step explanation:

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:

[tex]H_0 : \mu_1 - \mu_2 = 0[/tex]

[tex]H_a : \mu_1 - \mu_2 \ne 0[/tex]

Step-by-step explanation:

Let the salted package be represented with 1 and the unsalted, 2.

So:

[tex]\mu_1:[/tex] Mean of salted package

[tex]\mu_2:[/tex] Mean of unsalted package

Considering the given options, the null hypothesis is that which contains =.

So, the null hypothesis is:

[tex]H_0 : \mu_1 - \mu_2 = 0[/tex]

The opposite of = is [tex]\ne[/tex]. So, the alternate hypothesis, is that which contains [tex]\ne[/tex]

So, the alternate hypothesis is:

[tex]H_a : \mu_1 - \mu_2 \ne 0[/tex]

By applying basic meaning of mean and standard deviation we got that correct null and alternative hypotheses to test the complaint’s claim are

(i) [tex]\mu_{1}-\mu_{2} =0[/tex] ; [tex]\mu1 - \mu2 > 0.[/tex]  and (ii) [tex]\mu_{1}-\mu_{2} =0[/tex] ; [tex]\mu1 - \mu2 < 0.[/tex]

Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value

Let assume that  salted package are represented by 1 and the unsalted are  represented  by 2 .

So  Mean of salted package is [tex]\mu_{1}[/tex]

and  Mean of unsalted package is [tex]\mu_{2}[/tex]

Now the null hypothesis is that which contains same mean for both types

[tex]\mu_{1}=\mu_{2}\\\\\mu_{1}-\mu_{2}=0[/tex]

And alternative hypotheses is that which contains different mean for both types

[tex]\mu_{1} \neq \mu_{2}\\\\\mu_{1}-\mu_{2} \neq 0[/tex]

Hence two case are possible for  alternative hypotheses

(i)  [tex]\mu1 - \mu2 > 0.[/tex]

(ii) [tex]\mu1 - \mu2 < 0.[/tex]

By applying basic meaning of mean and standard deviation we got that correct null and alternative hypotheses to test the complaint’s claim are

(i) [tex]\mu_{1}-\mu_{2} =0[/tex] ; [tex]\mu1 - \mu2 > 0.[/tex]  and (ii) [tex]\mu_{1}-\mu_{2} =0[/tex] ; [tex]\mu1 - \mu2 < 0.[/tex]

To learn more about standard deviation visit :https://brainly.com/question/12402189

Answer:

FL = 54°

Step-by-step explanation:

m<MNF = ½(ML + LF) (inscribed angle theorem)

7 + 8x = ½(72 + 7x + 5)

Solve for x

2(7 + 8x) = 72 + 7x + 5

14 + 16x = 72 + 7x + 5

Add like terms

14 + 16x = 77 + 7x

16x - 7x = 77 - 14

9x = 63

x = 63/9

x = 7

✅FL = 7x + 5

Plug in the value of x

FL = 7(7) + 5 = 49 + 5

FL = 54°

Answer:

25

Step-by-step explanation:

count the frequencies so to get your answer. It is 25.

if it helps don't forget to like and mark me down

Answer:

36 plus 36 plus 72 = 144 or 72 + 72= 144

Answer:

(3,2)

Step-by-step explanation:

...................

Answer:

the answer is 5 radical3

Answer:

3/4 = 6/8

4 triangles but only 3 are colored so that is 3/4

8 triangles but only 6 are colored so that is 6/8

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:

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:

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

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:

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Answer:

The standard deviation of this sample is 25.35

Step-by-step explanation:

Standard deviation for a sample:

Square root of the sum of the squared differences between each value and the mean, and divided by one less than sample size.

Finding the mean:

The mean is the sum of all values divided by the number of values.

In this question, there are 10 values. So

[tex]M = \frac{73+19+16+64+28+31+90+60+56+28}{10} = 46.5[/tex]

Standard deviation:

[tex]s = \sqrt{\frac{(73-46.5)^2+(19-46.5)^2+(16-46.5)^2+(64-46.5)^2+(28-46.5)^2+(31-46.5)^2+(90-46.5)^2+(60-46.5)^2+(56-46.5)^2+(28-46.5)^2}{9}} = 25.35[/tex]

The standard deviation of this sample is 25.35

Answer:

True

Step-by-step explanation:

I Think :|

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:

Slope is rise/run

Slope is -4/5

= 4/-5