What is the value of s?

Answer:

Step 1

Step-by-step explanation:

She didn't distribute the negative while she distributed 7. It should be -7x - 21, not 7x - 21.

Hope it make sense now :)

As you know, a parallelogram's area is calculated by multiplying the length of it's sides, so all we are being asked to do is find the product of u and v -

[tex]( - 4i - 9j + k )( - 6i + j + 5k ),\\[/tex]

You would apply cross products in order to determine u * v. Doing so, you would get a solution of -46i + 14j - 58k.

Now we can take the magnitude of  this vector -

u * v = √( - 46 )^2 + ( 14 )^2 - ( 58 )^2,

u * v = ( About ) 75.3 square units,

Solution = Option A

Answer:

b correct me if i am wrong probably am

Step-by-step explanation:

Answer:

a) P(G | M) = 0.577

b) P(W | G) = 0.523

c) P(M and G') = 0.220

d) P(M or G) = 0.870

e) P(G') = 0.350

Step-by-step explanation:

A random sample of adult drivers was obtained where 52% were men and 46% were women.

P(M) = 0.52

P(W) = 0.46

A survey showed that 65% of the drivers rely on GPS systems.

P(G) = 0.65

30% of the drivers are men and use GPS while 34% of the drivers are women and use GPS.

P(M and G) = 0.30

P(W and G) = 0.34

a) Suppose the person selected is a man. What is the probability that he relies on a GPS system? Your answer should have at least 3 decimal places

P(G | M) = ?

Recall that conditional probability is given by

∵ P(B | A) = P(A and B)/P(A)

For the given case,

P(G | M) = P(M and G)/P(M)

P(G | M) = 0.30/0.52

P(G | M) = 0.577

b) Suppose the person selected relies on a GPS system. What is the probability that the person is a woman? Your answer should have at least 3 decimal places.

P(W | G) = ?

Recall that conditional probability is given by

∵ P(B | A) = P(A and B)/P(A)

For the given case,

P(W | G) = P(W and G)/P(G)

P(W | G) = 0.34/0.65

P(W | G) = 0.523

c) What is the probability that the person is a man and does not rely on a GPS system? Your answer should have at least 3 decimal places.

P(M and G') = ?

Where G' means does not rely on a GPS system

P(M and G') = P(M) - P(M and G)

P(M and G') = 0.52 - 0.30

P(M and G') = 0.220

d) What is the probability that an individual is a man or uses a GPS system? Your answer should have at least 3 decimal places.

P(M or G) = ?

Using the addition rule of probability,

∵ P(A or B) = P(A) + P(B) - P(A and B)

For the given case,

P(M or G) = P(M) + P(G) - P(M and G)

P(M or G) = 0.52 + 0.65 - 0.30

P(M or G) = 0.870

e) What is the probability that an individual does not use a GPS system? Your answer should have at least 3 decimal places.

P(G') = ?

P(G') = 1 - P(G)

P(G') = 1 - 0.65

P(G') = 0.350

Answer:

a = 10

Step-by-step explanation:

From the solution given, x = a and y = -1

Substitute for x and y in either of the equations

y = -x + 9

-1 = -a + 9

a = 9 + 1 = 10

Answer:

Answer is 10

Step-by-step explanation:

Since the graphe cross only at one point there is only one solution for the equation.

Can I get brianliest plz.

Answer:

No. At a significance level of 0.01, there is not enough evidence to support the claim that the average number of sick days a worker takes per year is significantly less than 5.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average number of sick days a worker takes per year is significantly less than 5.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=5\\\\H_a:\mu< 5[/tex]

The significance level is 0.01.

The sample has a size n=30.

The sample mean is M=4.8.

The standard deviation of the population is known and has a value of σ=1.2.

We can calculate the standard error as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1.2}{\sqrt{30}}=0.219[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{4.8-5}{0.219}=\dfrac{-0.2}{0.219}=-0.913[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z<-0.913)=0.181[/tex]

As the P-value (0.181) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.01, there is not enough evidence to support the claim that the average number of sick days a worker takes per year is significantly less than 5.

Using the z-distribution, it is found that since the test statistic is greater then the critical value for the left-tailed test, this is not enough evidence to support the claim at [tex]\alpja = 0.01[/tex].

At the null hypothesis, it is tested if the number of sick days is of at least 5, that is:

[tex]H_0: \mu \geq 5[/tex]

At the alternative hypothesis, we test if it is less than 5, that is:

[tex]H_1: \mu < 5[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

For this problem, the values of the parameters are: [tex]\overline{x} = 4.8, \mu = 5, \sigma = 1.2, n = 30[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{4.8 - 5}{\frac{1.2}{\sqrt{30}}}[/tex]

[tex]z = -0.91[/tex]

The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.01 is of [tex]z^{-\ast} = -2.327[/tex].

Since the test statistic is greater then the critical value for the left-tailed test, this is not enough evidence to support the claim at [tex]\alpja = 0.01[/tex].

A similar problem is given at https://brainly.com/question/16194574

Answer:

A dilation was not applied to the fabric because the length was changed, not the width.

Step-by-step explanation: B was not the answer it was D.          

Answer:

D.

Step-by-step explanation:

Edge 2022.

Answer:

The minimum data entry is, 26.

The maximum data entry is, 83.

Step-by-step explanation:

The stem-and-leaf plot provided is:

2 | 6

3 | 2

4 | 1 2 2 5 6 6 8

5 | 0 1 1 2 3 3 3 4 4 4 4 5 6 6 8 9

6 | 8 8 8

7 | 3 8 8

8 | 3

As it is mentioned that 2 | 6 equals 26, the data is:

S = {26, 32, 41, 42, 42, 56, 56, 68, 50, 51, 51, 52, 53, 53, 53, 54, 54, 54, 54, 55, 56, 56, 58, 59, 68, 68, 68, 73, 78, 78, 83}

The data is arranged in ascending order.

The minimum data entry is, 26.

The maximum data entry is, 83.

Answer:

D) 1/5 e 1/3

Step-by-step explanation:

You have the following quadratic equation:

[tex]15x^2-kx+1=0[/tex]           (1)

In order to find the values of x that are solution to the equation (1), you first find the solution for k in the following equation:

[tex]2(k-8)+3(-k+1)=-4k+11\\\\2k-16-3k+3=-4k+11\\\\2k-3k+4k=11+16-3\\\\3k=24\\\\k=8[/tex]

Next, you replace the previous value of k in the equation (1) and you use the quadratic formula to find the roots:

[tex]15x^2-8x+1=0\\\\x_{1,2}=\frac{-(-8)\pm \sqrt{(-8)^2-4(15)(1)}}{2(15)}\\\\x_{1,2}=\frac{8\pm 2}{30}\\\\x_1=\frac{1}{5}\\\\x_2=\frac{1}{3}[/tex]

Then, the roots of the equation (1) are

D) 1/5 e 1/3

Answer:

Step-by-step explanation:

A concave polygon can never be regular (all sides and angles must be congruent). Hope this helps..

Answer: 1/3

Step-by-step explanation: Since there are six sides to a number cube, the total number of outcomes will be 6.

Since there are 2 favorable outcomes, rolling a 1 or a 6,

the probability of rolling a 1 or a 6 is 2/6 which reduces to 1/3.

Answer:

1/3

Step-by-step explanation:

A cube by default has 6 sides, and a number cube generally is tallied from 1 - 6 (being the numbers are 1, 2, 3, 4, 5, 6).

You are solving for the probability of the numbers 1 or 6 being rolled, which are 2 numbers of the given amount. Change into a fraction form by placing part over the total amount of numbers:

2/6

Most likely, you will be told to simplify. Divide common factors from both the numerator & denominator:

(2/6)/(2/2) = 1/3

1/3 is the probability that a 1 or a 6 is rolled in a standard number cube.

~

Answer:

20 Tickets

Step-by-step explanation:

Given

Marvin and Ruby had the same number of stickers.

Let

no. of tickets with Ruby = No. of tickets with Marvin = x

condition

Marvin gave 12 ticket to Ruby

Now\

no. of tickets with Ruby = x+12

No. of tickets with Marvin = x-12

Ruby had 4 times as many as Marvin

Thus,

no. of tickets with Ruby = 4* No. of tickets with Marvin

x+12= 4(x-12) = 4x-48

x+12 = 4x-48

adding 48 both sides

x+12 +48= 4x-48+48

x+60 = 4x

subtracting 4 from both sides

x+60 -x= 4x -x

60 = 3x

dividing both side by 3

60/3 = 3x/3

x = 20

Thus, Ruby had 20 tickets in the beginning.

Answer:

0.43 x 370= 159.1

Step-by-step explanation:

Answer:

  about 0.0143 microfarads

Step-by-step explanation:

The effective capacitance of capacitors in series is the reciprocal of the sum of their reciprocals:

  1/(1/0.02 +1/0.05) = 1/(50+20) = 1/70 ≈ 0.0143 . . . microfarads

Answer:   -3x +  y = 12

                 -2x + 4y = 18

Step-by-step explanation:

  -3x +  y = 12

+   x + 3y = 6

  -2x + 4y = 18

System of equations is:

-3x +  y = 12

-2x + 4y = 18

Answer:

[tex]3x + 6 = y \\ 3x = y - 6 \\ \frac{3x}{3} = \frac{y - 6}{3} \\ x = \frac{y - 6}{3} \\ x = \frac{y}{ 3 } - 2[/tex]

Answer:

y = 3x - 9

Step-by-step explanation:

y = 3x + 6 is a linear equation.

Shift the equation 5 units to the right.

The linear equation becomes:

y = 3x - 9

Answer:

22.2

Step-by-step explanation:

The missing side is x

x = 22.21≈ 22.2

Answer:

False

Step-by-step explanation:

A function is said to be differentiable over a given region if the function is continuous and has only one value for each input.

Therefore in order to conclude that f is differentiable at (a, b), the partial derivatives must be continuous at (a, b).

It is true that the function has to be defined over a given region because without it, you cannot determine if a partial derivative is continuous or otherwise.

But the fact that the partial derivatives exist at a point is not a sufficient condition for continuity.

Answer:

[tex](a) \dfrac{dP}{dt} =k P(t)\\(b)P(t)=Ce^{kt}[/tex]

(c)[tex]P(10)\approx 272[/tex]

(ii)[tex]P(1000)\approx 26.88 \times 10^{44}\\[/tex]

Step-by-step explanation:

(a)The rate of growth of the population is proportional to the population, this is written as:

[tex]\dfrac{dP}{dt} \propto P(t)\\$Introducing our proportionality constant, k\\ \dfrac{dP}{dt} =k P(t)[/tex]

(b)

[tex]\dfrac{dP(t)}{P(t)} =k dt\\$Take the integral of both sides\\\int \dfrac{dP(t)}{P(t)} =\int k dt\\\ln P(t)=kt+C, $C a constant of integration\\Take the exponential of both sides\\e^{\ln P(t)}=e^{kt+C}\\P(t)=e^{kt}\cdot e^C $, (Since e^C$ is a constant, we then have:)\\P(t)=Ce^{kt}[/tex]

(c)

Suppose the net birthrate of the population is .1, and the initial population is 100.

k=0.1

P(0)=100

Substitution into P(t) gives:

[tex]100=Ce^{kX0}[/tex]

C=100

Therefore:

[tex]P(t)=100e^{0.1t}[/tex]

(i)When t=10

[tex]P(10)=100e^{0.1 \times 10}\\=271.8\\\approx 272[/tex]

(ii)When t=1000

[tex]P(1000)=100e^{0.1 \times 1000}\\=26.88 \times 10^{44}\\[/tex]

Answer:

We accept H₀  

Step-by-step explanation:

To compare two proportion:

proportion 1. 1998

n₁  =  449

p₁  =  129/449    p₁  =  0,2873

proportion 2. 2008

n₂  =  509

p₂  =  176/509    p₂  = 0,3457

Test hypothesis

Null Hypothesis                             H₀                 p₂  -  p₁  = 0

Alternative Hypothesis                 Hₐ                 p₂  >  p₁

We have a one tail test ( to the right)

As   α = 0,01 we find in z-table the z score   z = 2,29  ( approximation for 0,011)

To calculate z(s),

z(s) =  ( p₂  -  p₁ ) /√ p*q ( 1/n₁ + 1/n₂)

p = ( x₁ + x₂ ) / n₁ + n₂

p = 129 + 176 / 449 +509

p = 0,3184     and    q =  1  - p       q = 0,6816

1/n₁  + 1/n₂  =  1/ 449  +  1 / 509   =  0,00222 + 0,001964

1/n₁  + 1/n₂  = 0,004184

z(s) =  0,0584/ √(0,3184*0,6816)*0,004184

z(s) =  0,0584/ 0,03013

z(s) = 1,938

z(s) < z(c)        1,938  < 2,29

z(s) is in the acceptance region we accept H₀  at  α = 0,01

Answer:

Step 1 of 4

Point estimate for the population mean of the paired differences = -8.2

Step 2 of 4

Sample standard deviation of the paired differences = 16.116244

Step 3 of 4

Margin of Error = ±9.326419

Step 4 of 4

90% Confidence interval = (-17.5, 1.1)

Step-by-step explanation:

The ratings from last year and this year are given in table as

Rating (last year) | x1 | 87 67 68 75 59 60 50 41 75 72

Rating (this year) | x2| 85 52 51 53 50 52 80 44 48 57

Difference | x2 - x1 | -2 -15 -17 -22 -9 -8 30 3 -27 -15

Step 1 of 4

Mean = (Σx)/N = (-82/10) = -8.2 to 1 d.p.

Step 2 of 4

Standard deviation for the sample

= √{[Σ(x - xbar)²]/(N-1)} = 16.116244392951 = 16.116244 to 6 d.p.

Step 3 of 4

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = -8.2

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 10 - 1 = 9.

Significance level for 90% confidence interval

= (100% - 90%)/2 = 5% = 0.05

t (0.05, 9) = 1.83 (from the t-tables)

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 16.116244

n = sample size = 10

σₓ = (16.116244/√10) = 5.0964038367

Margin of Error = (Critical value) × (standard Error of the mean) = 1.83 × 5.0964038367 = 9.3264190212 = 9.326419 to 6 d.p.

Step 4 of 4

90% Confidence Interval = (Sample mean) ± (Margin of Error)

CI = -8.2 ± (9.326419)

90% CI = (-17.5264190212, 1.1264190212)

90% Confidence interval = (-17.5, 1.1)

Hope this Helps!!!

Answer:

The probability that none of the $100 bills are selected is 79.6%.

Step-by-step explanation:

The urn contains forty $1 bills and ten $100 bills.  This gives a total of 50 bills in the urn.

To draw 3 dollar bills one at a time out of an urn, the probability of not selecting a $100 bill, decreases with each selection.

And the probability of not selecting a $100 bill is the probability of selecting a $1 bill in the first selection  = 80% (40/50 x 100).

The probability of selecting a $1 bill the second time = 79.6% (39/49).

The probability of selecting a $1 bill the third time = 79.2% (38/48).

The sum of the probabilities divided by 3 = 79.6% (238.8/3)

b) Probability arises when there is a chance that an event may occur from a set of events that could have occurred. It is based on an estimate that one event happens when all the events in the set are given no less equal chance.

Step-by-step explanation:

40children - 23 (with A, O) = 17left

26 letter in alphabet- ( A, O) = 24 letter left

24 letters left - 14 (not used for 1st letters) = 10

10 letters left to use/ 17 children left

10÷17 = 0.5882352941 x 10 =5.8 or as close to 6 I can get

There are six surnames that start with each letter other than A and O when more than one surname does.

A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.

Given, The surnames of 40 children in a class are arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A.

Since, 14, of the letters of the alphabet do not appear as the first letter of a surname

14 of the letters of the alphabet do not appear as the first letter of the surname

∴ the no. of letters that appeared = 26-14 = 12 alphabets

15 surnames begin with 10 letters beside O and A

∴ 6 surnames begin with a letter

Therefore, If more than one surname begins with a letter besides A and O, 6 surnames begin with that letter.

Learn more about Permutation and combination here:

https://brainly.com/question/15268220

#SPJ2

Answer:

78 eggs

Step-by-step explanation:

13 × 6 = 78 eggs

Hope this helps! :)

Answer:

Yes it would be 6x13=78

Step-by-step explanation:

cross multiplication and divide:

1 cartoon = 6 eggs

13 cartoons = x

Answer:

Dependent

Step-by-step explanation:

Madelyn needs to base her move off Bryant, meaning the two events are dependent.

I'm pretty sure it would be dependent, but thats just me.

Answer:

X = 0, x = -3

Step-by-step explanation:

You have to cancel everything and -3 =3 is 0 and that would make the entire right side zero. If you have x as 0 the first 0 will multiply with everything making everything zero.

[tex]\text{Find the value of the x's}\\\\x(x+3)(x+3)=0\\\\\text{We know that the x outside of the parenthesis would equal 0}\\\\\text{In order to find the value of the other x's, we must solve by equaling}\\\text{them to 0}\\\\x+3=0\\\\\text{Subtract 3 from both sides}\\\\x=-3\\\\\text{Since there are two of them, you would have two answers as -3}\\\\\boxed{\text{x = 0, or x = -3, or x = -3}}[/tex]

The Answer is 2

34.989.I used a physics book

Answer:

A. Shifted 3 unit right and 2 unit down

Step-by-step explanation:

Let's determine the reason for the answer.

We will use a reference point, only one point to determine the reason.

Because the both shape are identical.

Let's use point A

The position of A is 2 on the y axis and 1 on the x axis

While the position of A' is 0 on the y axis and 4 on the X asis

Let's know how many units where moved from the position.

A' -A

For X axis

4-1= 3

For y axis

0-2= 2(we need only the magnitude)

So its 2 units Down and 3 unit right

Answer:

-0.7

Step-by-step explanation:

[tex]x-y=0.7[/tex]

You can choose any digits you wish for [tex]x[/tex] and [tex]y[/tex] but the difference must be 0.7. I chose 1.0 and 0.3.

[tex]x=1\\y=0.3\\x-y=0.7\\\\y-x=\\0.3-1=\\-0.7[/tex]