How much salt is needed to fill a pit (rectangular) that is 8 m deep and 16 m wide and 4 m long? Show work

Answer:

Number 4

Step-by-step explanation:

Use the phytagroean theorem. The sum of both N and L will equal the sum of K

Answer:

2 minutes.

Step-by-step explanation:

Rate formula: Quantity / Time

24 / 8  = 3    -> Calculating rate

He can print out 3 photos per minute.

6 /  3 = 2    -> Calculating time it would take for 6 photos.

It will take him 2 minutes at that rate.

Answer:

7/25

Step-by-step explanation:

In simpler words, the problem wants us to find the probability of choosing a student that both play a sport and takes a foreign language.

To find this, we need to locate the intersection in the Venn diagram which is

14.

The intersection represents the number of students that both play a sport and take a foreign lang.

We have our favorable outcomes of 14.

Our total outcomes can be found by adding all the numbers like so:

23+14+10+3=50

The theoretical probability theorem is:

Number of favorable outcomes/number of total outcomes.

So our answer is 14/50, or simplified as 7/25!

Hope it helps! :))

Answer:

Surface area of triangular pyramid = 48 inch²

Step-by-step explanation:

Given:

Base length of triangle = 6 inches

Height of triangle = 4 inches

Find:

Surface area of triangular pyramid

Computation:

Surface area of triangular pyramid = 4 x [Surface area of triangle]

Surface area of triangular pyramid = 4 x [(1/2)(b)(h)

Surface area of triangular pyramid = 4 x [(1/2)(6)(4)

Surface area of triangular pyramid = 4 x [(1/2)(24)]

Surface area of triangular pyramid = 4 x 12

Surface area of triangular pyramid = 48 inch²

Answer:

See the arrangement below

Step-by-step explanation:

Given the expression

2x^2+x - 9 = 4x

Step 1: Write in standard form

2x^2 + x - 9 - 4x = 0

2x^2 + x - 4x - 9 = 0

2x^2 - 3x - 9 = 0

Step 2; identify the coefficients

The standard quadratic expression is ax^2+bx+c = 0

a = 2, b = -3, c = -9

Step 3: Using the general formula to find the roots

x = -b±√b²-4ac/2a

x = -(-3)±√(-3)²-4(2)(-9)/2(2)

Step 4: simplify

x =  -(-3)±√(-3)²-4(2)(-9)/2(2)

x = 3 ±√9+72/4

Step 5; Find the roots

x = 3 ±√81/4

x = 3 ±9/4

x = 3+9/4 and 3-9/4

x = 12/4 and -6/4

x = 3 and -3/2

Answer:

4 square units

Step-by-step explanation:

the distance between (3, -4) and (5, -4) is 2, and the distance between (3, -2) and (5, -2) is also 2. since its a quadrilateral do 2x2 and you get 4

Answer:

exactly, it is 4 sq units

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

is at least

Answer:

The calculated χ² = 21.455       falls in the critical region χ² ≥  7.815  so we reject the null hypothesis that the type of hard drive and the store where the computers were bought are dependent and accept the claim the type of hard drive and the store where the computers were bought are independent.

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

H0: the type of hard drive and the store where the computers were bought are dependent

against the claim

Ha: the type of hard drive and the store where the computers were bought are independent

2) the significance level alpha is set at 0.05

3) the test statistic under H0 is

χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency

which has an approximate chi square distribution with ( 4-1) (2-1)=  3 d.f

4) Computations:

Using the calculator we summarize the results as

Under H0 , the observed frequencies are :

Observed         Expected  E        χ²= (O-E)²/E

13                          (23.58)            [4.75]                

11                           (10.63)             [0.013]                  

19                          (14.69)              [1.264]

9                            (3.09)              [11.282]

109                       (98.42)              [1.138]

44                          (44.37)            [0.003]

57                           (61.31)               [0.303]

7                             (12.91)               [2.703]                            

∑                                                            21.455        

5) Conclusion:

The calculated χ² = 21.455       falls in the critical region χ² ≥  7.815  so we reject the null hypothesis that the type of hard drive and the store where the computers were bought are dependent and accept the claim the type of hard drive and the store where the computers were bought are independent.

The p-value is .000085.

The result is significant at p < .05 meaning the claim is accepted.

Answer:

d

Step-by-step explanation:

Answer:

Sum of Squares=50.5

Treatment Sum of Squares, 4.5

Error Mean Squares, 0.3

Treatment Mean Squares 0.9

Error Sum of Square = 3

Step-by-step explanation:

Given data

Observation A B C

1                8 7 10

2                7 7 11

3                6 6 10

4                7 6 9

5               8 7 10

6                6 6 10

A B C Row total (xr)

1 8 7 10 25

2 7 7 11 25

3 6 6 10 22

4 7 6 9 22

5 8 7 10 25

6 6 6 10 22

Col total (xc) 42 39 60 141

Using calculator for summarizing data

∑x²=1155 ⇒(A)

∑x²c/r=16(42²+39²+60²)

=1/6(1764+1521+3600)

=1/6(6885)

=1147.5⇒(B)

∑x²r/c=13(25²+25²+22²+22²+25²+22²)

=1/3(625+625+484+484+625+484)

=1/3(3327)

=1109⇒(C)

(∑x)²/n=(141)²/18

=19881/18

=1104.5⇒(D)

Sum of squares total

SST=∑x²-(∑x)²/n=(A)-(D)

=1155-1104.5

=50.5

Sum of squares between rows

SSR=∑x²r/c-(∑x)²/n=(C)-(D)

=1109-1104.5

=4.5

Sum of squares between columns

SSC=∑x²c/r-(∑x)²n=(B)-(D)

=1147.5-1104.5

=43

Sum of squares Error (residual)

SSE=SST-SSR-SSC

=50.5-4.5-43

=3

ANOVA table

Source                     Sums         Degrees of           Mean Squares

of Variation        of Squares          freedom                                 F- value

                                      SS                DF                  MS              

Between Treatments SSR=4.5      r-1=5        MSR=0.9              3

Between Blocks          SSC=43     c-1=2       MS =21.5      71.6667

Error (residual)         SSE=3    (r-1)(c-1)=10        MSE=0.3  

Total                    SST=50.5      rc-1=17                                  

Answer:

C. Rectangle

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

C. Approximately 90 percent of the intervals constructed will capture the difference in population means.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

90% confidence interval for the difference in population means is of (0.46, 1.82). This means that we are 90% sure that the true difference between the population means is between these two values, and approximately 90% of intervals will capture this, which means that the correct answer is given by option C.

Answer:

C. Approximately 90 percent of the intervals constructed will capture the difference in population means.

Answer:

2/3 > 2/5 > 1/4

Step-by-step explanation:

Lucia - 2/3 - 40/60

Allie - 1/4 - 15/60

Carolina -  2/5 - 24/60

( in this case 60 is the LCM)

least to greatest

15/60 < 24/60 < 40/60

Hope this helps!

Answer:

2308.39 m³

Step-by-step explanation:

The formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(16.4 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {8.2}^{3} [/tex]

[tex] = \frac{6925.18208}{3} [/tex]

[tex] = 2308.394027...[/tex]

= 2308.39 m³ (rounded to the nearest hundredth)

Answer:

24 hours

Step-by-step explanation:

2+4+2 hours on Friday, Saturday, Sunday =8 hours per weekend

8 hours per weekend x 3 weekends = 24 total hours.

Answer:

[tex](a)\ (1,5)[/tex]

Step-by-step explanation:

Given

[tex](x + 9)^2 + (y - 4)^2 = 101[/tex]

Required

Which of the points does it pass through

To do this, we simply substitute the values of x and y in the above equation.

So, we have:

[tex](a)\ (1,5)[/tex]

[tex](x + 9)^2 + (y - 4)^2 = 101[/tex]

[tex](1 + 9)^2 + (5 - 4)^2 = 101[/tex]

Solve each bracket

[tex]10^2 + 1^2 = 101[/tex]

[tex]100 + 1 = 101[/tex]

[tex]101 = 101[/tex]

The above equation is true,

Hence, it passed through [tex](1,5[/tex])

We do not need to check for others

Answer:

srry I can't answer this question it's kinda of hard to solve srry

Answer:

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

Step-by-step explanation:

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

Answer:

[tex]2 \times \pi \: \times r[/tex]

is the circumference of the circle

Answer:

Step-by-step explanation:

If the radius of a circle is r cm then

circumference = 2πr

9514 1404 393

Answer:

  (c)  2

Step-by-step explanation:

The product of the lengths to the near and far circle intercepts is the same for both secants.

  3×(3+5) = 4×(4+x)

  24 = 16 +4x . . . simplify

  6 = 4 +x . . . . . . divide by 4

  2 = x . . . . . . . . .subtract 4

Answer:

-9

Step-by-step explanation:for sure

Answer:

-9

Step-by-step explanation:

Look at a number line:

<----+------+------+------+------+------+------+------+------+------+------+------+------+------+-->

   -12     -11      -10     -9     -8     -7     -6      -5      -4      -3     -2     -1       0       1

On a number line, a number to the right is always greater than a number to its left. Just like 1 is greater than 0, -9 is greater than -11.

-9 > -11

Answer: -9

Answer:

a

Step-by-step explanation:

Answer:

88/27 or 3 7/27  in^2

Step-by-step explanation:

Multiply the length and width together:

2 2 /3 times 1 2 /9

We could either convert these measurements to improper fractions and then multiply, or we could use a calculator:  2+(2/3) ENTER x (1 + 2/9) ENTER.

Result:  3.259 in^2 (approximately) or 88/27 in^2 (exact answer)

Answer:

A) y = x²- x

Step-by-step explanation:

A linear function will have y equal to x, without x being manipulated by a square root, exponent, etc.

y = x²- x has x being squared.

This will create a graph of a parabola, which is not linear.

So, since it is a quadratic instead of a line, answer choice A) y = x²- x is correct.