25% of 24
Can you show working out
All different methods to see which is easy or better for me

Answer:

Step-by-step explanation:

Given,

Diameter of the bowl = 6 in

Radius of the bowl = 6 ÷ 2 = 3 in.

Height of the bowl = 2 in.

Therefore,

Volume of the bowl to hold water ,

[tex] = \pi {r}^{2} h[/tex]

[tex] = 3.14 \times 3in \times 3in \times 2in[/tex]

[tex] = 56.52 {in}^{3} (ans)[/tex]

Answer:

4 to 1

Step-by-step explanation:

The greatest common factor between 8 and 2 is 2. So 2 will go into 8, 4 times. And 2 will go into 2, 1 time. So simplified the equivalent ratio is 4:1.

Answer:

D1 to D3: SF = 3 / 2. Equation = 9 / 6 = 3 / 2

D2 to D3: SF = 2. Equation = 9 / 4.5 = 18 / 9 = 2

D3 to D1: SF = 2 / 3. Equation = 6 / 9 = 2 / 3

Step-by-step explanation:

Let me just make sure.

Answer:

3 books

Step-by-step explanation:

Answer:

3 books

Step-by-step explanation:

On the first 1st month Tony gets 11 book but on the second month Tony gets 14

14 books - 11 books = 3 books

There is a pattern of 3 new books each month.

(1 month = 3 new books)

Tony gets 3 additional books every/each month.

Answer:

for the solve and check:

[tex]2\frac{3}{8}+x=3\frac{1}{4} \\2\frac{3}{8}-2\frac{3}{8}+x=3\frac{1}{4}-2\frac{3}{8}\\\\x=3\frac{1}{4}-2\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

----------------------------------------------------

[tex]3\frac{3}{8}+x=4\frac{1}{4} \\3\frac{3}{8}-3\frac{3}{8}+x=4\frac{1}{4}-3\frac{3}{8}\\\\x=4\frac{1}{4}-3\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

for the second solve and check:

[tex]4\frac{3}{8}+x=5\frac{1}{4} \\4\frac{3}{8}-4\frac{3}{8}+x=5\frac{1}{4}-4\frac{3}{8}\\\\x=5\frac{1}{4}-4\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

----------------------------------------------------

[tex]5\frac{3}{8}+x=6\frac{1}{4} \\5\frac{3}{8}-5\frac{3}{8}+x=6\frac{1}{4}-5\frac{3}{8}\\\\x=6\frac{1}{4}-5\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

Answer:

Step-by-step explanation:

Green picture

x = 2.25 ft = 2 1/4 ft

we substitute 2 1/4 for x

x = 2 1/4 ft

3 3/4 ft + 2 1/4 ft  = 6 ft

6 ft = 6 ft

Since 6ft is equal to 6ft...

Blue picture

It is 2 1/4 ft long

we substitute 7/8 ft for x

since 2 1/4 ft is equal ...

Yellow picture

2 3/8 ft - 2 3/8 ft + x = 3 1/4 ft - 2 3/8 ft

x = 3 1/4 ft - 2 3/8 ft

x = 7/8 ft

Check

x = 7/8 ft

2 3/8 ft + 7/8 ft = 3 1/4 ft

3 3/8 ft - 3 3/8 ft + x = 4 1/4 ft - 3 3/8 ft

x= 4 1/4 ft - 3 3/8 ft

x = 7/8 ft

check

x = 7/8 ft

3 3/8 ft + 7/8 ft = 4 1/4 ft

red picture

4 3/8 ft - 4 3/8 ft + x = 5 1/4 ft - 4 3/8 ft

x = 5 1/4 ft - 4 3/8 ft

x = 7/8 ft

check

x = 7/8 ft

4 3/8 ft + 7/8 ft = 5 1/4 ft

Answer:

3.5 fluid ounces

Step-by-step explanation:

1/3 * π * r^2 * h

substitute

V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inch

1 fluid ounce = 1.8 cubic inch

x fluid ounce = 6.3 cubic inch

x = 6.3/1.8

x = 3.5 fluid ounces

Answer:

Step-by-step explanation:

The volume of a circular cone is 1/3*pi*r^2*h

So,

1/3*3.14*1.35^2*3.3=6.3in^3

6.3in^3 * 1floz/1.8in^3= 3.5fl oz

Answer:

Step-by-step explanation:

ratio of length to breadth=4:3

let breadth be x m

4/3=12/x(do cross multiplication)

3*12=x*4

36=4x

36/4=x

9=x

therefore breadth= 6m

Answer:

ŷ = 7.02895X1 + 12.6959X2 - 170.33728

Since the calculated F=32 falls in the critical region F ≥ 9.55 we reject our null hypothesis and conclude that there is association between at least one of the regressors and the dependent variable.

Step-by-step explanation:

Using stat calculator:

Part A:

x1         x2            y              Predicted Y          Residual

13        11         62.8739       60.693967        2.179933

15        11        76.1328         74.751867          1.380933

13        13        87.4667       86.085767         1.380933

15        13       102.3236      100.143667        2.179933

14         12      76.1872         80.418817         -4.231617

14        12        77.5287        80.418817         -2.890117

mean

14        12       80.418817     80.418817           0            

standard deviation

0.89 0.89      13.2812       12.979739       2.813451        

Calculation

Sum of X1 = 84

Sum of X2 = 72

Sum of Y = 482.5129

Mean X1 = 14

Mean X2 = 12

Mean Y = 80.4188

Sum of squares (SSX1) = 4

Sum of squares (SSX2) = 4

Sum of products (SPX1Y) = 28.1158

Sum of products (SPX2Y) = 50.7836

Sum of products (SPX1X2) = 0

Regression Equation = ŷ = b1X1 + b2X2 + a

b1 = ((SPx1y)*(SSx2)-(SPx1x2)*(SPx2y)) / ((SSx1)*(SSx2)-(SPx1x2)*(SPx1x2)) = 112.46/16 = 7.02895

b2 = ((SPx2y)*(SSx1)-(SPx1x2)*(SPx1y)) / ((SSx1)*(SSx2)-(SPx1x2)*(SPx1x2)) = 203.13/16 = 12.6959

a = MY - b1MX1 - b2MX2 = 80.42 - (7.03*14) - (12.7*12) = -170.33728

ŷ = 7.02895X1 + 12.6959X2 - 170.33728

X1-Mx1         X2-Mx2        Y-My               (X1-Mx1)²            (X2-Mx2)²

-1                     -1                 -17.545               1                       1

1                        -1                -4.286               1                       1

-1                       1                  7.048                1                      1

1                        1                  21.905              1                       1

0                       0                -4.232               0                      0

0                       0                 -2.89                0                     0            

                                                             SSX1: 4       SSX2: 4        

SPx1y            SPx2y         SPx1x2

17.545           17.545            1

-4.286            4.286            -1

-7.048             7.048          - 1

21.905             21.905        1

0                        0                0

0                       0                 0                      

SPX1Y:         SPX2Y:           SPX1X2: =0

= 28.116       =50.784                                    

Part B

Coefficient Table

             Coefficient           SE                     t- stat        

x1           -170.337283      33.519576          -5.081725

x2           7.028950         1.816075            3.870408

b            12.695900        1.816075           6.990847    

Part C:

Test for significance of β1 and β2.

State the null and alternate hypotheses as

H0: β1=β2=0

Ha:  At least one of the β1 and β2 is non zero.

The significance level is set at ∝= 0.05

The test statistic to use is

F= MSR/ MSE= MS regression/ MS Residual

which if H0 is true has F distribution with υ1= 2 and υ2= n- 3= 6-3= 3  degrees of freedom.

To set up the ANOVA table we find the necessary sum of squares .

Regression SS ( between y^ and y`) = SSR= 842.368060

Residual SS ( between yi and y^) = SSE=  39.577526

Total SS  = SSR+ SSE= 842.368060+39.577526= 881.945586

ANOVA table

Source                 DF      Sum of Square     Mean Square    F Statistic

Regression

(b/w ŷi and yi) 2    842.368060 421.184030 31.926000

Residual

(b/w yi and ŷi) 3    39.577526          13.192509                  

Total (b/w yi and yi)5      881.945586 176.389117                              

The critical region is F≥F (0.05) (2,3)=9.55

Conclusion:

Since the calculated F=32 falls in the critical region F ≥ 9.55 we reject our null hypothesis and conclude that there is association between at least one of the regressors and the dependent variable.

Answer:

angle VPQ = 83°

I hope this may be helpful

Answer:

4.42

Step-by-step explanation:

5.2 x 10-3 multiplied by 850. I got it right on my assignment

The mass of the 850 nails is 442 x 10⁻² kilograms.

The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.

Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.

A carpenter bought 850 nails.

Each nail has a mass of 5.2 x 10-3 kg.

To find the total mass:

Use multiplication operation,

850 x 5.2 x 10⁻³

= 4420 x 10⁻³

= 442 x 10⁻²

Therefore, the mass is 442 x 10⁻² kilograms.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ2

Answer:

B

Step-by-step explanation:

i know this already from another

Answer: 11 square root 57

Step-by-step explanation:

Answer:

The Square root of 6,897 is 83.04 the alternate form is 11√57

P.S If you feel this answer is satisfactory would you mark it brainiest.

Answer:

4

Hope that this helps!

Answer:

I think it's 18

Step-by-step explanation:

because I'm looking at 12/8 to be a ratio, that means that the size of the bigger figure had decreased by 12/8 or 1.5

then I divided the 27 by 1.5 to get the area of the small one which was 18.

Answer:

5 cups is greater then 32 fl oz

Step-by-step explanation:

First, we change fl oz to cups, for it is easier to do.

Next, when we change 32 fl oz, it is going to be

32 fl oz=4 cups

Last, it is obvious that 5 cups is greater than 32 fl oz.

32 fl oz< 5 cups

This is correct!

Please mark me brainliest and have a  nice day! :)

Answer:

32.8

Step-by-step explanation:

32.8 I did this on a calculator

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

Explanation:

A square has all four sides that are the same length. So all four sides are 12 cm

area = side*side = 12*12 = 144 cm^2

Or you could say

area = (side)^2 = (12)^2 = 144 cm^2

Squaring a number is the same as multiplying it by itself. Hence the name "square" refers to a side length pairing up with its corresponding area value.

---------

Side note: The perimeter is 4*(side) = 4*12 = 48 cm. It's possible that choice B is put in there as a trick answer.

B

If you do 4x12 you will end up with 48

Answer:

Yes. All the conditions for inference have been met.

Step-by-step explanation:

The conditions for inference are:

a) The sample must be random.  The selections of the 30 customers in each Grocery Store were not biased in any way.

b) The sampling distribution must be approximately normal.

c) The observations of the samples were independent.

d) Adequate of sample size.  30 customers represent an adequate sample

e) The variances are not known as they were disclosed in this case.

Answer:

I believe the answer is 104

Step-by-step explanation:

13+13=26 thats 1 day so 26×4=104

Answer:

c

Step-by-step explanation:

there

Answer:

180

Step-by-step explanation:

34+2=

36

36 . 5=

180

Answer:

44

Step-by-step explanation:

2x5=10

10+34=44

hope this helped :3

Answer:

t=2.24 for khan

Step-by-step explanation:

The test statistic for the Adam's test is 2.24.

Test statistic is a value calculated from a statistical test of hypothesis. It describes the closeness of the observed data with the expected distribution under the null hypothesis.

The formula to find the test statistic is,

t = (x - μ) / (s / √n)

Here x is the sample mean, μ is the population mean, s is the standard deviation and n is the sample size.

Given,

x = 208, μ = 200, s = 25 and n = 49

Substituting the values,

t = (208 - 200) / (25 / √49)

 = (8 × 7) / 25

 = 2.24

Hence the test statistic is 2.24.

Learn more about test Statistic here :

https://brainly.com/question/14128303

#SPJ3

Answer:

use [tex]y^{2}[/tex]~[tex]mx_{1}[/tex]+b to answer your question

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:Center =(-5,-7)

Step-by-step explanation:

Answer:

42+106=x

148=x

Step-by-step explanation:

Answer:

$720 divided by 2 = $360

$360-106=$254

$360+106=$466

$254+$466=$720

Person 1 has $254

Person 2 has $466

Answer:

value for X

3x-4 =41

3x =41+4

3x =45

x =15