All categories

3 years ago

Find the remainder when x51+x is divided by x+1

Mathematics

1 answer:

kaheart [24]3 years ago

3 0

Answer:

-2

Step-by-step explanation:

By definition, the remainder is the portion of the dividend that is not evenly divisible by the divisor. Basically, it is what's left over. In this case, -2 is the amount left over after dividing this equation.

You might be interested in

(04.02 LC)

True [87]

The graph is the horizontal line:

y=3 it has a slope of zero.

Function 2 is

y=3x+1, it is in slope-intercept form, y=mx+b where m is the slope and b is the y=intercept so in this case it has a slope of 3.

So the difference in slopes is 3-0=3

3 0

3 years ago

If four pounds of a certain candy cost $10 how many pounds of that candy can be purchased for $12

Mama L [17]

4.8 pounds, set it up as 4 over 10 times x over 12, to find x multiply 4 by 12, and divide by ten. The result is 4.8

3 0

3 years ago

A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while

bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = Number of bottles in the sample that are not within specification.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....$

where, n = number of trials (samples) taken = 12 bottles

x = number of success = 2 or more bottles

p = probabilitiy of success which in our question is probability that

bottles are not within specification, i.e. p = 0.01

So, X ~ Binom (n = 12, p = 0.01)

Now, the probability that the assembly line will be shut down is given by = P(X $\geq$ 2)

P(X $\geq$ 2) = 1 - P(X = 0) - P(X = 1)

= $1-\binom{12}{0} \times 0.01^{0}\times (1-0.01)^{12-0}-\binom{12}{1} \times 0.01^{1}\times (1-0.01)^{12-1}$

= $1-(1 \times 1\times 0.99^{12})-(12 \times 0.01^{1}\times 0.99^{11})$

= 0.00617

8 0

3 years ago

Alexander is riding his bicycle to school. After one mile, he is a third of the way there. How much farther does he have to ride

Alekssandra [29.7K]

Alexander has to miles to go because if one mile is a third you can simply maltiply by three, then subtract the mile he already went. you maltiply by three because it was a third of the way there

4 0

3 years ago

Please help! Im not sure if this is counted as math but yeah please help!

Artyom0805 [142]

Answer:

1.543

2. they can only spend 325.8 on rent because that is the 30% of what they make every week

each girl will have 380.10 left to spend

Step-by-step explanation:

4 0

3 years ago