1 1/3+2 3/4 simplified​

Answer:

5472

Step-by-step explanation:

Substitute n with 152

N= 36×152

N= 5472

Answer:

5472

Step-by-step explanation:

no. of bolts=N

bolts in each box=36

no. of boxes=n=152

as per question N=36*152

N=5472

Answer:

=-3/8-7/16

Step-by-step explanation:

If b=-3/8

y=-4/7

Then b+1/4y= - 3/8 +1/4*(-4/7)= - 3/8 +1/(-16/7) =

=-3/8-7/16

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Answer:

50/9 or 5 5/9

Step-by-step explanation:

5/1 x 10/9 = 50/9

As the number of successful bit transmissions in a sequence of 10 bits sent over the internet. Then x follows a binomial distribution with parameters n=10 and p=0.5.

The binomial distribution models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has only two possible outcomes: success or failure. In this case, the number of trials is 10 (n=10) and the probability of success in each trial is 0.5 (p=0.5).

Since each bit transmitted over the internet can be considered a Bernoulli trial, it follows that the number of successful transmissions (x) follows a binomial distribution with parameters n=10 and p=0.5.

These properties make the binomial distribution a useful model for situations where the number of trials is fixed, each trial is independent, and each trial has only two possible outcomes.

In the example of sending bits over the internet, each bit transmission can be considered a Bernoulli trial, so the number of successful transmissions follows a binomial distribution.

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Here is the full question.

Calculate the mean and the standard deviation of the sampling distribution of possible sample proportions for each combination of sample size (n) and population proportion (p).

a.) n = 64, p = 0.8

b.) n = 256, p = 0.8

Answer:

a.) Mean = 0.8

   Standard deviation = 0.05

b.)  Mean = 0.8

     Standard deviation = 0.025

Step-by-step explanation:

From the given information:

a.)

The population parameter (p) is the mean of the sampling distribution for the sample proportion.

Thus; The  Mean = 0.8

The standard deviation of the  distribution can be calculated as follows:

Let's first represent the standard deviation with Sd(\(\hat p\))

Then:

\(sd(\hat p) = \sqrt{\dfrac{p*(1-p)}{n} }\)

where;

p = 0.8

n = 64

Then:

\(sd(\hat p) = \sqrt{\dfrac{0.8*(1-0.8)}{64} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.8*(0.2)}{64} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.16}{64} }\)

\(sd(\hat p) = \sqrt{0.0025}\)

\(\mathbf{sd(\hat p) =0.05}\)

b.)

The population parameter (p) is the mean of the sampling distribution for the sample proportion.

Thus; The  Mean = 0.8

The standard deviation of the  distribution can be calculated as follows:

Let's first represent the standard deviation with Sd(\(\hat p\))

Then:

\(sd(\hat p) = \sqrt{\dfrac{p*(1-p)}{n} }\)

where;

p = 0.8

n = 256

Then:

\(sd(\hat p) = \sqrt{\dfrac{0.8*(1-0.8)}{256} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.8*(0.2)}{256} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.16}{256} }\)

\(sd(\hat p) = \sqrt{6.25 \times 10^{-4}}\)

\(\mathbf{sd(\hat p) =0.025}\)

Answer:

26cm

Step-by-step explanation:

7+7+6+6=26

Answer:

26 cm

Step-by-step explanation:

7x2 because of 2 sides

12x2 because of 2 sides

14+12=26

Answer:

C) 0.24 kg

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

Find the weight of two loaves of bread:

Find the difference of weights of 2 loaves of bread and 6 muffins:

The matching choice is C.

The difference of weights of 2 loaves of bread and 6 muffins:

= 0.24 kg

We have to given that,

One loaf of bread weighs 0.68 kilogram.

And, Six muffins weigh 1.12 kilograms.

Now, We can Find the weight of two loaves of bread:

Here, One loaf of bread weighs 0.68 kilogram.

Hence, the weight of two loaves of bread:

0.68 x 2 = 1.36 kg

Hence, the difference of weights of 2 loaves of bread and 6 muffins:

= 1.36 kg - 1.12 kg

= 0.24 kg

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Answer:

c

Step-by-step explanation:

Step-by-step explanation:

f(x) is the value of the function. m is the slope of the line. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane. x is the value of the x-coordinate. I'm done hopefully it help

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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Answer:

Interet varies directly as rate

I=KR

K=I/R

K=41/4

=10.25

I=KR

I=10.25R

I=10.25*7.2

I=$73.8

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If we write a quadratic in vertex form:

\(y=a(x-h)^2+k\)

Then:

\(\bold{a}\)   \(\longrightarrow\)    is the coefficient of \(x^2\)

\(\bold{h}\)   \(\longrightarrow\)    is the axis of symmetry.

\(\bold{k}\)   \(\longrightarrow\)    is the max/min value of the function.

Also:

If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.

\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.

For the given functions:

\(a < 0\)

\(f(x)=-(x-1)^2+5\)        this has a maximum value of \(\bold{5}\)

\(a > 0\)

\(f(x)=(x+2)^2-3\)           this has a minimum value of \(\bold{-3}\)

Answer:

The equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:

\(y=-5x-14\)

Step-by-step explanation:

We know that the slope-intercept form is

\(y=mx+b\)

Where m is the slope and b is the y-intercept

Given the equation

\(y=-5x+2\)

comparing with the slope-intercept form

slope = m = -5

y-intercept = b = 2

We know that the parallel lines have the same slopes.

so , the slope of the parallel line will be: -5

Thus, the equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:

\(y-y_1=m\left(x-x_1\right)\)

\(y-6 = -5(x-(-4)\)

\(y-6 = -5 (x+4)\)

\(y-6 = -5x-20\)

\(y=-5x+6-20\)

\(y=-5x-14\)

Answer:

y=-x+2

Step-by-step explanation:

i already did it and your welcome in advance

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

3038.28

Step-by-step explanation:

The formula for accrued amount (principal + interest) when compounded continuously is given by

\(A = Pe^{rt}\)

where
A is the accrued amount
P is the amount invested
r = annual interest rate as a decimal
t = time in years
e = exponential constant ≈ 2.71828

Therefore
\(P = \dfrac{A}{e^{rt}}\)

We are given
A = $9500
r = 9.5% = 0.095 in decimal
t = 12 years

Therefore

\(P = \dfrac{9500}{e^{0.095 ( 12)}}\)

\(P = \dfrac{9500}{e^{1.14}}\)

\(P = \dfrac{9500}{3.126768}\\\\P = 3038.28\)

So they should invest $3,038.28 now in order to be able to get $9500 in 12 years at annual interest rate of 9.5% if compounded continuously

Answer:-75 1/4 or in decimal -75.25

Step-by-step explanation: i took the test

Answer:

-75 1/4

Step-by-step explanation:

took the test in k12 :)

Answer:

56.5

I think this is right

Answer:

f(n) = 59,000(1.08m - 1)

Step-by-step explanation:

Therefore, Paxton will need to invest her money for approximately 21.62 years to increase her investment from $4850 to $8000 at a simple interest rate of 7.6% per year.

To determine how long Paxton needs to invest her money in order for it to increase to $8000, we can use the formula for simple interest:

I = P * r * t

Where:

I = Interest earned

P = Principal (initial investment)

r = Interest rate per year (expressed as a decimal)

t = Time (in years)

Given that Paxton invests $4850 at an interest rate of 7.6% per year, we have:

4850 * 0.076 * t = 8000

Simplifying the equation:

369.8t = 8000

To find t, we divide both sides of the equation by 369.8:

t ≈ 8000 / 369.8 ≈ 21.62 years

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

He spent $110.00 on both originally

Step-by-step explanation:

Add both prices too get 165

Then use the equation  =  

cross multiply to get 150x=16500

Divide 16500 by 150 to get x alone

x= 180

By using unitary method it can be calculated that

Total cost of 600 pencils = $81.50

Option D is correct

What is unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

This is a word problem on unitary method

Cost of 30 pencils = $4

Cost of 1 pencil = $\(\frac{4}{30}\)

Cost of 600 pencils = $\(\frac{4}{30} \times 600\) = $80

Shipping charge for 100 pencils = $0.25

Shipping charge for 1 pencil = $\(\frac{0.25}{100}\)

Shipping charge for 600 pencils = $\(\frac{0.25}{100}\times 600\) = $1.50

Total cost of 600 pencils = $(80 + 1.50) = $81.50
Option D is correct

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Answer:

\(x = \frac{2000 }{(\frac{a+100}{100})}\)

updated response , given that you confirmed the question....

if the percent is the variable a% then ....

\(x*(\frac{a+100}{100}) = 2000\)

\(x = \frac{2000 }{(\frac{a+100}{100})}\)

I think that there is missing information here ....

you can make any number work here the result of the number being increased by the percent has to be 2000...

so if if the number is 1000 then the percent would be 100%

if you make the number  1500 then the percent would be 33 1/3 %

Step-by-step explanation:

The number is \(\frac{2000}{(1+\frac{a}{100})}\)

Let us assume that the number be x.

When the number x is increased by  a% the new number will be,

\(x(1+\frac{a}{100})\)

Now, this number is decreased by 80%. So, the new number will be,

\(x(1+\frac{a}{100})*(1-\frac{80}{100} )\\=x(1+\frac{a}{100})*(1-0.8 )\\=x(1+\frac{a}{100})*0.20\)

By the given condition,

When x increased by a% and decreased by 80% it becomes 400

Therefore, we can write

\(x(1+\frac{a}{100})*0.20=400\)

\(x(1+\frac{a}{100})=\frac{400}{0.20}\)

\(x(1+\frac{a}{100})=2000\)

\(x=\frac{2000}{(1+\frac{a}{100})}\)

So, the number will be \(\frac{2000}{(1+\frac{a}{100})}\).

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