I have a bucket which I use to fill a
paddling pool
I use 19 full buckets of cold water and 8
buckets of hot water, so the pool is full.
The capacity of the pool is 288 litres.
If I poured the water from one bucket into
some glasses, I could fill 32 glasses,
What is the capacity of each glass
in millilitres?​

Answer: D

Step-by-step explanation: because the The plot has 20 dots and it cannot be greater than or less then

Answer:

3 roots

The graph crosses the x axis 3 times so there are 3 roots.

Step-by-step explanation:

Solution :

Given :

[tex]$n_1 = n_2 = 40$[/tex]

[tex]$\overline X_1 = 18$[/tex]

[tex]$S_1 = 4$[/tex]

[tex]$\overline X_2 = 12$[/tex]

[tex]$S_2 =10$[/tex]

So we want to test :

[tex]$H_0 : \mu_1=\mu_2 $[/tex]   vs [tex]$H_1 : \mu_1 \neq \mu_2 $[/tex]

a). For 98% confidence interval :

[tex]$=\left((\overline X_1 - \overline X_2) \pm Tn_1+n_2-2, \alpha / 2 \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}\right)$[/tex]

[tex]$=\left((18-12) \pm 2.375 \sqrt{\frac{4^2}{40}+\frac{10^2}{40}}\right)$[/tex]

[tex]$=(6 \pm 4.0445)$[/tex]

= (1.956, 10.045)

Answer:

I think its D

Step-by-step explanation:

Answer:

(a) Always true

Step-by-step explanation:

In the case when there is a matrix of coefficient for a homogeneous system for n linear equations so it does not have an opposite and then the system would be have the infinite various solutions

So this is always true as in this it can be unique test or infinite.

So according to the given situation, the option a is correct

Answer:

A: Find the area of the outer trapezoid and then subtract the area of the inner trapezoid

B: 15 square units

Step-by-step explanation:

A:

Find the area of the outer trapezoid and then subtract the area of the inner trapezoid

(because if the inner trapezoid wasn't there and you were looking for the shaded region, you'd find the area of the outer trapezoid. since you have to take away the area the inner trapezoid takes up, the shaded region = area of outer trapezoid - area of inner trapezoid)

B

The area of a trapezoid is ((a+b)/2)h, where a is the top or the trapezoid, b is the bottom and h is the height.

The top of the outer trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the outer trapezoid ranges from 2 to 8, so b=8-2=6. The height of the outer trapezoid ranges from 2 to 8, so h=8-2=6.

The area of the outer trapezoid = ((a+b)/2)h = ((2+6)/2)(6) = 4(6) = 24

The top of the inner trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the inner trapezoid ranges from 3 to 7, so b=7-3=4. The height of the inner trapezoid ranges from 3 to 6, so h=6-3=3.

The area of the inner trapezoid = ((a+b)/2)h = ((2+4)/2)(3) = 3(3) = 9

The are of the shaded region = the area of the outer trapezoid - the area of the inner trapezoid = 24 - 9 = 15 square units

Answer:

5. x = -1 or x = -3

6. b = -2 or b = 6

7. n = 5 or n = 4

Step-by-step explanation:

5. x² + 4x + 3 = 0

Factorize

x² + 3x + x + 3 = 0

x(x + 3) +1(x + 3) = 0

(x + 1)(x + 3) = 0

Set each of the factors equal to zero and solve for x

x + 1 = 0 or x + 3 = 0

x = -1 or x = -3

6. b² - 4b - 14 = -2

Put all terms on one side of the equation leaving zero on one side

b² - 4b - 14 + 2 = 0

b² - 4b - 12 = 0

Factorize

b² - 6b + 2b - 12 = 0

b(b - 6) +2(b - 6) = 0

(b + 2)(b - 6) = 0

Set each of the factors equal to zero and solve for b

b + 2 = 0 or b - 6 = 0

b = -2 or b = 6

7. n² = 9n - 20

Put all terms on one side of the equation leaving zero on one side

n² - 9n + 20 = 0

n² - 5n - 4n + 20 = 0

n(n - 5) -4(n - 5) = 0

(n - 5)(n - 4) = 0

Set each of the factors equal to zero and solve for b

n - 5 = 0 or n - 4 = 0

n = 5 or n = 4

Answer:

1150.35

Step-by-step explanation:

Answer:

a-6b-6c-2

Step-by-step explanation:

Answer:

y-3 = 2x

2x-y+3=0 we have

slope

m =- coefficient of x/coefficient of y=-2/-3=2/3 is a slope..

Answer:

ahaha it's B my guy

Step-by-step explanation:

peace out

Answer:

29

Step-by-step explanation:

[tex]\frac{9}{10} * \frac{32}{1} = \frac{288}{10} = 28.8[/tex]

Answer:

315.5cubic in

10.4 x 4.5 x 6.5=

Step-by-step explanation:

Answer:

what? i need a table to answer

Step-by-step explanation:

Answer:

5 mugs

Step-by-step explanation:

1/2 converted into 10ths would be 5/10 ... meaning 5 mugs

Answer:

secured loan

Step-by-step explanation:

Answer: Here

Step-by-step explanation:

You Go

Answer:

Yes it does

Step-by-step explanation:

we would like to Prove the following for x=1:

[tex] \displaystyle {x}^{2} - x = 0[/tex]

since x=1 substitute:

[tex] \displaystyle {1}^{2} - 1 \stackrel {?}{=}0[/tex]

to simplify it we can consider the order of PEMDAS which is a abbreviation of

since exponent come first

simplify exponent:

[tex] \displaystyle {1}^{} - 1 \stackrel {?}{ = }0[/tex]

simplify substraction:

[tex]\displaystyle 0 \stackrel { \checkmark}{ = }0[/tex]

since left hand side equal to right hand side

hence, Proven

use a²-b²=(a+b)(a-b) to rewrite:

[tex] \displaystyle (x + \sqrt{x} )(x - \sqrt{x} ) = 0[/tex]

since x=1 substitute:

[tex] \displaystyle (1 + \sqrt{1} )( 1- \sqrt{1} ) \stackrel {?}{=} 0[/tex]

simplify square root:

[tex] \displaystyle (1 + 1)( 1- 1 ) \stackrel {?}{=} 0[/tex]

simplify parentheses:

[tex] \displaystyle (2)( 0) \stackrel {?}{=} 0[/tex]

Multiplying any number by 0 results 0 thus

[tex] \displaystyle 0 \stackrel { \checkmark}{=} 0[/tex]

since left hand side equal to right hand side

hence, Proven

Given,

x = 1

We need to find if x² - x = 0 is true or false.

If x = 1, then x² will be equal to 1² = 1 (1 multiplied by 1 is one / 1 square is equal to 1)

So,

=》x² - x = 0

By substituting ...

=》1² - 1 = 0

Now calculate...

=》1 - 1 = 0

=》0 = 0

•°• The given statement is true.

_____

RainbowSalt2222 ☔

Answer:The simplest way to calculate a finance charge is: balance X monthly rate

Step-by-step explanation:

i thinkk

500 X .015 = $7.50

The finance charge for a credit card that has an average daily balance of 5,600 and a monthly interest rate of 1.35 % is $75.6.

The finance charge is the product of an average daily balance to the monthly interest rate.

finance charge = balance x monthly rate

The simplest way to calculate a finance charge = balance x monthly rate

= 5,600 x 0.0135

= $75.6

Thus, the finance charge for a credit card that has an average daily balance of 5,600 and a monthly interest rate of 1.35 % is $75.6.

Learn more about finance;

https://brainly.com/question/22786445

Answer:

22 mph

Step-by-step explanation:

83.6 miles

3.8 hours

83.6/3.8 = 22 mph

Answer:

3/8

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

This is because for B you do 8x9x1 which is basically 8x9 which is 72. Then, for D you do 12x3x2. Do 3x2 first and you get 6. Then, do 6x12 which is also 72. So the correct answers that will give you the volume of 72 units cube is B and D. Hope this helps!

Answer:

The only option which is not available for Mr. Lloyd is to use his debit card to purchase the television now. The debit card can only be Used to make purchases when the account holder has funds or money in his or her account.

Step-by-step explanation:

Answer:

it's a bit blurry but if I aint wrong it's the 2nd one that say 2/5

Answer:

2.5 kilograms of chocolate

Step-by-step explanation:

Answer:

There is no sufficient evidence to support the claim that men and women differ in repeatability for this assembly task

Step-by-step explanation:

Given

Let subscript 1 represent men and 2 represent women, respectively.

[tex]n_1 = 25[/tex]

[tex]n_2 = 21[/tex]

[tex]s_1 = 0.98[/tex]

[tex]s_2 = 1.02[/tex]

[tex]\alpha = 0.02[/tex]

Required

Determine if here is enough evidence

First, we need to state the hypotheses

[tex]H_o: \sigma_1^2 = \sigma_2^2[/tex]

[tex]H_1: \sigma_1^2 \ne \sigma_2^2[/tex]

Next, calculate the test statistic using:

[tex]F = \frac{s_1^2}{s_2^2}[/tex]

[tex]F = \frac{0.98^2}{1.02^2}[/tex]

[tex]F = 0.923[/tex]

Calculate the rejection region;

But first, calculate the degrees of freedom

[tex]df_1 =n_1 - 1[/tex]

[tex]df_1 =25 - 1[/tex]

[tex]df_1 =24[/tex]

[tex]df_2 = n_2 -1[/tex]

[tex]df_2 = 21 - 1[/tex]

[tex]df_2 = 20[/tex]

Using the F Distribution:  table

[tex]c = \frac{\alpha}{2}[/tex]

[tex]c = \frac{0.02}{2}[/tex]

[tex]c = 0.01[/tex]

At 0.01 level (check row 20 and column 24), the critical value is:

[tex]f_{0.01,24,20} = 2.86[/tex] --- the upper bound

At 0.01 level (check row 24 and column 20), the critical value is:

[tex]f_{0.01,20,24} = 2.74[/tex]

Calculate the inverse F distribution.

[tex]f_{0.99,20,24} = \frac{1}{f_{0.01,20,24}} = \frac{1}{2.74} =0.365[/tex] ---- the lower bound

The rejection region is then represented as:

[tex]0.365 < Test\ Statistic < 2.86[/tex]

If the test statistic falls within this region, then the null hypothesis is rejected

[tex]F = 0.923[/tex] --- Test Statistic

[tex]0.365 < 0.923 < 2.86[/tex]

The above inequality is true; so, the null hypothesis is rejected.

This implies that, there is no sufficient evidence.

Answer:

acute.... ....... .. . ......

Answer: 72 inches

Step-by-step explanation: