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4 years ago

A lock on a fence door has a 4 digit combination. Each digit can be any number

Mathematics

2 answers:

Bas_tet [7]4 years ago

6 0

Answer:

D. 9990 possible combinations

Step-by-step explanation:

The first digit has 10 choices (can be all of them), the second digit also has 10 choices. The third and fourth digits also have 10 choices.

Multiply them together you get 10*10*10*10 = 10000 possible combinations.

But since all 4 characters cannot be the same, we subtract 10 from 10000 (there are 10 combinations which the 4 characters are the same: 1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999, and 0000) and we get 9990.

Savatey [412]4 years ago

4 0

Answer:

D. 9990 possible combinations

Step-by-step explanation:

A lock on a fence door has a 4 digit combination. Each digit can be any number between 0 – 9. The only restriction is that all 4 characters cannot be the same (e.g. 1111, 2222, 3333, etc.). Therefore, there are 9990 possible combinations.

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-8x-27=-7\left(1+2x\right)+2x

Darina [25.2K]

Answer:

$x=5$

Step-by-step explanation:

$-8x-27=-7\left(1+2x\right)+2x$

Expand:

$-8x-27=-7\times 1-7\times 2x+2x$

$-8x-27=-7-12x$

Add 27 to both sides:

$-8x-27+27=-7-12x+27$

$-8x=-12x+20$

Add 12x to both sides:

$-8x+12x=-12x+20+12x$

$4x=20$

Divide both sides by 4:

$\frac{4x}{4}=\frac{20}{4}$

$x=5$

5 0

3 years ago

Find the value of x. 6 14 8 0 21 x = [ ? ] 3x-12

love history [14]

Answer: 7

Step-by-step explanation:

By the angle bisector theorem,

$\frac{21}{14}=\frac{3x-12}{6}\\21(6)=14(3x-12)\\126=14(3x-12)\\9=3x-12\\21=3x\\x=\boxed{7}$

4 0

2 years ago

Choose the solution set represented by the following graph

Juliette [100K]

The answer to the question is the first one

7 0

3 years ago

According to the Statistical Abstract of the United States, in 2000, 10.7% of Americans over 65 years of age use the Internet. A

Dvinal [7]

Answer:

H0 : μ = 0.107

H1 : μ ≠ 0.107

Step-by-step explanation:

The claim is the alternative hypothesis. H1 ; which is a researcher's opinion that the proportion of Americans aged 65 and above using the internet as changed from the mean value of 10.7% (0.107). The direction of the change is not given, hence. We cannot use the greater or less Than sign as the direction of the change isn't specified by the researcher or data Given. Hence, the shift could be either to the right or left. Hence, the use of the equal to and not equal to sign.

The null will oppose the alternative hypothesis and take the stance that the proportion hasn't changed from the initial mean.

4 0

3 years ago

Check the iinstructions

pishuonlain [190]

Answer:

Cost of small box of oranges = 7

Cost of small box of oranges = 13

Step-by-step explanation:

Step 1) Let the cost of small box of oranges = x

Let the cost of small box of oranges = y

Step 2)

Equation 1) Matt sells 3 small boxes and 14 large boxes for Php. 203

3x + 14y = 203 -------------------(I)

Equation 2) Ming sells 11 small boxes and 11 large boxes for Php. 220

11x + 11y = 220 ----------------(II)

Step 3:

Multiply equation (I) by 11 and equation (II) by (-3).

(I)*11 33x + 154y = 2233

(II)*(-3) -33x - 33y = -660 {Now add and x will be eliminated}

121y = 1573

y = 1573/121

y = 13

Substitute y = 13 in equation (II)

11x + 11*13 = 220

11x + 143 = 220

11x = 220 - 143

11x = 77

x = 77/11

x = 7

5 0

3 years ago