Does the point (3.28) lie on the line y = 19+ 3x

Answer: 0.25

Step-by-step explanation:

The relative frequency of the customers that buy computers is equal to the number of customers that bought a computer divided the total number of customers that entered the shop.

p = 25/100 = 0.25

If we take this as the probability, then the probability that the next customer that enters the shop buys a computer is 0.25 or 25%

Answer:

w = 15

Step-by-step explanation:

-9(w + 585) = -360w

-9w -5265 = -360w

351w = 5265

w=15

Answer:

8, 5, 13, 10

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Answer:

A ; B ; D ; E ; F

Step-by-step explanation:

    The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

7 + 9 = 16

16 > 8 ; 5 ; 13 ; 2 ; 10

Answer:

T = 4.541

Step-by-step explanation:

We don't have the standard deviation for the population, so we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 4 - 1 = 3

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 4.541

Answer:4

Step-by-step explanation:

9-5 = 4

hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

4

Step-by-step explanation:

let the question mark be denoted as x.

x+5=9

x=9-5

x=4.

Answer:

f(x) = –|x + 3|

The -3 is inside of the absolute value, which means that the parent function has been shifted to the left by 3 units.

Since there is a negative sign outside of the absolute value, that means that the parent function has been flipped, so instead of a v-shaped graph, the function will have a Λ shape.

On the Math is Fun website, there is a function grapher and calculator. When we graph the given function, the answer is the graph shown below.

Hope this helps!

Answer:

(C)

Step-by-step explanation:

♥☺

Answer:

36

Step-by-step explanation:

There are 9 different toppings

Pick the first topping

Now there are 8 toppings

Pick the second topping

9*8

72 ways to pick the toppings

But order doesn't matter

pepperoni and hamburger is the same as hamburger and pepperoni, so we divide by 2

72/2 = 36

There are 36 different ways

Answer:

  g(-6) = 8; g(0) = 5; g(6) = 0; g(12) = 6

Step-by-step explanation:

We assume your function definition is ...

  [tex]g(x)=\left\{\begin{array}{ccc}-\dfrac{1}{2}x+5&\text{for}&x<6\\x-6&\text{for}&x\ge 6\end{array}\right.[/tex]

For each given value of x, determine which segment applies, then evaluate.

For x = -6 and for x = 0, the first segment applies:

  g(-6) = (-1/2)(-6) +5 = 3 +5 = 8

  g(0) = (-1/2)(0) +5 = 5

For x = 6 and x = 12, the second segment applies:

  g(6) = (6) -6 = 0

  g(12) = (12) -6 = 6

In summary, ...

  g(-6) = 8; g(0) = 5; g(6) = 0; g(12) = 6

Answer:

Step-by-step explanation: 4

If [tex]D>0[/tex] then [tex]x_1,x_2\in\mathbb{R}[/tex].

If [tex]D=0[/tex] then [tex]x_1=x_2\wedge x_1,x_2\in\mathbb{R}[/tex].

If [tex]D<0[/tex] then [tex]x_1,x_2\in\mathbb{C}[/tex].

Hope this helps.

Answer: A) Justification 1

Step-by-step explanation:

The student did not match the angles correctly.

∠ABC = 90° and ∠BCD = 60° so they cannot state that the angles are congruent. The other statement on that line is wrong also, but is irrelevant since there is already an error in that line.

Answer:

Attached is the excel solution

answer : The  percentage of the barrier island that is bare earth = 46.88

Step-by-step explanation:

ROUND((B5*100/SUM(B2:B5),2) is used to calculate the percent of barrier island that is bare earth.

SUM(B2:B5) is used to compute the total area of barrier island.

while  B5 stores the area of Bare Earth.

Answer:

50%

Step-by-step explanation:

There are 3 numbers fitting the rule, 1, 3, and 5. There is a 3/6 chance of picking one of them or 50%.

Answer:

Step-by-step explanation:

Odd numbers are 1, 3, and 5.

Less than the number 2 is 1.

So only 3 of the numbers are chosen.

This will result in a fraction of 3/6.

Hope this helped,

Kavitha

Answer:

A = {CBA, CAB, BCA, ACB}

Step-by-step explanation:

Answer: A. {CBA, CAB, BCA, ACB}

Step-by-step explanation: Id appreciate it if anyone else could explain why that is the answer. (?)

Answer:

Event       Probability

Heads          [tex]\dfrac{3}{5}[/tex]

Tails             [tex]\dfrac{2}{5}[/tex]

Step-by-step explanation:

If a coin is tossed 25 times, then  from the given table it is clear that

Number of heads = 15

Number of tails = 10

Total number of tosses = 15+10 = 25

We know that,

[tex]Probability=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}[/tex]

[tex]P(H)=\dfrac{\text{Number of heads}}{\text{Total number of tosses}}=\dfrac{15}{25}=\dfrac{3}{5}[/tex]

[tex]P(T)=\dfrac{\text{Number of tails}}{\text{Total number of tosses}}=\dfrac{10}{25}=\dfrac{2}{5}[/tex]

So, probability distribution table is

Event       Probability

Heads          [tex]\dfrac{3}{5}[/tex]

Tails             [tex]\dfrac{2}{5}[/tex]

According to the properties for a probability distribution, the sum of probability of all events is 1.

Since,

[tex]\dfrac{3}{5}+\dfrac{2}{5}=\dfrac{3+2}{5}=\dfrac{5}{5}=1[/tex]

Hence, the distribution meets the properties for a probability distribution.

Answer:

a)

The statistic value |Z| = 2.053 > 1.96 at 0.05 Level of significance

Null hypothesis is rejected

Alternative hypothesis is Accepted

Actually 30% of all drivers make not this mistake at the given intersection

b)

The test statistic value |Z| = 2.053 >2.576 at 0.01 Level of significance

Null hypothesis is Accepted

Actually 30% of all drivers make this mistake at the given intersection

Step-by-step explanation:

Step(i):-

Given Population proportion = 30% or 0.30

Given data In a random sample of 600 cars making a right turn at a certain intersection, 157 pulled into the wrong lane

sample proportion

          [tex]p^{-} = \frac{x}{n} = \frac{157}{600} = 0.2616[/tex]

Null hypothesis:- H₀: p = 0.30

Alternative  hypothesis : H₁:p≠0.30

Step(ii):-

a)

Test statistic

        [tex]Z = \frac{p^{-}-P }{\sqrt{\frac{p(1-p)}{n} } }[/tex]

      [tex]Z = \frac{0.2616-0.30 }{\sqrt{\frac{0.30(1-0.30)}{600} } }[/tex]

     Z =  -2.053

    |Z| = |-2.053| = 2.053

Level of significance = 0.05

Z₀.₀₅ = 1.96

The calculated value |Z| = 2.053 > 1.96 at 0.05 Level of significance

Null hypothesis is rejected

Alternative hypothesis is Accepted

Conclusion:-

Actually 30% of all drivers make not this mistake at the given intersection

b)

Given level of significance  = 0.01

Z₀.₀₁ = 2.576

The calculated value |Z| = 2.053 >2.576 at 0.01 Level of significance

Null hypothesis is Accepted

Actually 30% of all drivers make this mistake at the given intersection

Answer:

y=4x+9

Step-by-step explanation:

replace m with 4, which is the slope you gave, and

replace b with 9, the y-intercept you gave,

in the equation y=mx+b.

Answer:

8/25

Step-by-step explanation:

The probability of picking a number less than 9 is 4/5.

The probability of picking an even number is 2/5.

[tex]4/5 \times 2/5[/tex]

[tex]=8/25[/tex]

Answer:

6s-62+5t

Step-by-step explanation:

6s-42-20+5t=6s-62+5t

Answer:

15.87%

Step-by-step explanation:

We have to calculate the value of z:

z = (x - m) / (sd / n ^ (1/2))

where x is the value to evaluate, m is the mean, n is the sample size and sd is the standard deviation, we replace:

p (x <60,527) = z = (x - m) / (sd / n ^ (1/2))

p (x <60,527) = z = (60,527 - 60) / (5/90 ^ (1/2))

z = 1

if we look in the attached table, for z = 1 it is 0.8413

p (x> 60,527) = 1 - 0.8413

 p (x> 60,527) = 0.1587

Therefore the probability is 15.87%

Complete Question

The complete question is shown on the first and second uploaded image

Answer:

The  marginal density function of Y is  [tex]f(y)= \frac{e^{\frac{-y}{10} }}{10}[/tex]

The distribution is exponential distribution

and the expected value is[tex]E[Y] = 10[/tex]

Step-by-step explanation:

From the question we are told that the function is  

       [tex]f(x,y) = \frac{e^{-\frac{y}{10} }}{10y} \ \ \ 0< y <x<2y[/tex]

Now the marginal density function of Y i.e f(y) is mathematically evaluated by obtaining the probability density function of y as follows

           [tex]= \int\limits^{2y}_{y} { \frac{e^{\frac{-y}{10} }}{10y} } \, dx[/tex]

            [tex]= \frac{e^{\frac{-y}{10} }}{10y} * (2y - y )[/tex]

          [tex]= \frac{e^{\frac{-y}{10} }}{10}[/tex]

The distribution of the function above is exponential distribution with a rate parameter equals to  

            [tex]\lambda = \frac{1}{10}[/tex]

  The mean DOT estimate E{Y} is mathematically evaluated as

           [tex]E[Y] = \frac{1}{\lambda}[/tex]

    substituting value

            [tex]E[Y] = \frac{1}{\frac{1}{10} }[/tex]

             [tex]E[Y] =10[/tex]

Answer:

9π or 28.3 units²

Step-by-step explanation:

A = πr²

A = π(3)²

A = 9π

or

A= 28.3 units²

Hope this helps. :)

Answer:

Step-by-step explanation:

n = 12

Mean = (4.58 + 5.72 + 4.77 + 4.76 + 5.19 + 5.05 + 4.80 + 4.77 + 4.75 + 5.02 + 4.74 + 4.56)/12 = 4.8925

Standard deviation = √(summation(x - mean)²/n

Summation(x - mean)² = (4.58 - 4.8925)^2 + (5.72 - 4.8925)^2 + (4.77 - 4.8925)^2 + (4.76 - 4.8925)^2 + (5.19 - 4.8925)^2 + (5.05 - 4.8925)^2 + (4.80 - 4.8925)^2 + (4.77 - 4.8925)^2 + (4.75 - 4.8925)^2 + (5.02 - 4.8925)^2 + (4.74 - 4.8925)^2 + (4.56 - 4.8925)^2 = 1.122225

Standard deviation = √(1.122225/12

s = 0.31

a) Point estimate = sample mean = 4.8925

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

Margin of error = z × s/√n

Where

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 12 - 1 = 11

b) Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.201

Margin of error = 2.201 × 0.31/√12

= 0.197

95% confidence interval = 4.8925 ± 0.197

Upper limit = 4.8925 + 0.197 = 5.0895

Lower limit = 4.8925 - 0.197 = 4.6955

We are 95% confident that the population mean of the rain water ph lies between 4.6955 and 5.0895

c) For 99% confidence level, z = 3.106

Margin of error = 3.106 × 0.31/√12

= 0.278

99% confidence interval = 4.8925 ± 0.278

Upper limit = 4.8925 + 0.278 = 5.1705

Lower limit = 4.8925 - 0.278 = 4.6145

We are 99% confident that the population mean of the rain water ph lies between 4.6145 and 5.1705

d) The interval gets wider as the confidence level is increased. This is logical since the test score is higher for 99% and therefore, increases the range of values. Since we want to be more confident, the range of values must be extended.

Answer:

a. 4650

b.

1. 332

2. 2076

3. 8306

Step-by-step explanation:

a. The planning value for population standard deviation is,

s = (maximum - minimum) / 4

s = (61600 - 43000) / 4

s = 4650

that is, it would be 4650, the planning value for population standard deviation

b. we have to:

n = (z * s / E) ^ 2

z for confidence level 95% is 1.96, E = 500; 200; 100

replacing:

1.

n = (1.96 * 4650/500) ^ 2

n = 332.2 = 332

2.

n = (1.96 * 4650/200) ^ 2

n = 2076.6 = 2076

3.

n = (1.96 * 4650/100) ^ 2

n = 8306.4 = 8306

Answer:

P(Math or English) = 0.89

Step-by-step explanation: This solution will only be applicable if finding the probability that a randomly selected student is taking a math class or an English class.

Lets study the meaning of or , and on probability. The use of the word or means that you are calculating the probability

that either event A or event B happened

Both events do not have to happen

The use of the word and, means that both event A and B have to happened

The addition rules are: # P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen

at the same time)

P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they

have at least one outcome in common)

The union is written as A ∪ B or “A or B”.

The Both is written as A ∩ B or “A and B”

Lets solve the question

The probability of taking Math class 69%

The probability of taking English class 70%

The probability of taking both classes is 50%

P(Math) = 69% = 0.69

P(English) = 70% = 0.70

P(Math and English) = 50% = 0.50

To find P(Math or English) use the rule of non-mutually exclusive

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

P(Math or English) = P(Math) + P(English) - P(Math and English)

Lets substitute the values of P(Math) , P(English) , P(Math and English)

in the rule P(Math or English) = 0.69 + 0.70 - 0.50 = 0.89

P(Math or English) = 0.89

P(Math or English) = 0.89

This solution will only be applicable if we are to find the probability that a randomly selected student is taking a math class or an English class.

Answer:

a) 16xy³

Step-by-step explanation:

For a binomial expansion (a + b)ⁿ, the r+1 term is:

nCr aⁿ⁻ʳ bʳ

Here, a = 4x, b = y, and n = 4.

For the fourth term, r = 3.

₄C₃ (4x)⁴⁻³ (y)³

4 (4x) (y)³

16xy³

Answer:

[tex]\huge\boxed{x=\sqrt{70}}[/tex]

Step-by-step explanation:

ΔABC and ΔADB are similar (AAA).

Therefore the corresponging sides are in proportion:

[tex]\dfrac{AB}{AD}=\dfrac{AC}{AB}[/tex]

Substitute:

[tex]AB=x\\AC=7+3=10\\AD=7[/tex]

[tex]\dfrac{x}{7}=\dfrac{10}{x}[/tex]       cross multiply

[tex](x)(x)=(7)(10)\\\\x^2=70\to x=\sqrt{70}[/tex]

Answer:

14

Step-by-step explanation:

As you can see the median containing RM is RC. Which means that RM=CM x 2

CM = 7

RM = 2*7 = 14

The length of RM from the given triangle PQR is 14 units.

The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians.

Given that, M is the centroid of the triangle.

CM=7, PM=10 and BQ=18.

The centroid divides each median into two parts, which are always in the ratio 2:1.

So, RM:CM

RM:7

= 14:7

Therefore, the length of RM is 14 units.

Learn more about the centroid here:

brainly.com/question/10708357.

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