Graph the line with slope -2/3 passing through the point (-5, -1)

Answer:

Diana's score is better.

Step-by-step explanation:

In Diana case :

Score = 92

Mean score , μ = 71

Standard deviation σ = 15

So,

P( x ≥ 92 ) = 1 - P( x ≤ 92 )

                = 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )

                = 1 - P( z ≤ [tex]\frac{92 - 71 }{15}[/tex] )

                = 1 - P( z ≤ 1.4 )

                = 1 - 0.9192

                = 0.0808 = 8.08 %

⇒P( x ≥ 92 ) = 8.08%

∴ we get

Diana score is > 91.92% other students in the class.

In Micheal case :

Score = 688

Mean score , μ = 493

Standard deviation σ = 150

So,

P( x ≥ 688 ) = 1 - P( x ≤ 688 )

                = 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )

                = 1 - P( z ≤ [tex]\frac{688 - 493 }{150}[/tex] )

                = 1 - P( z ≤ 1.3 )

                = 1 - 0.9032

                = 0.0968 = 9.68 %

⇒P( x ≥ 688 ) = 9.68%

∴ we get

Micheal score is > 90.32% other students in the class.

From both scores , we can conclude that

Diana's score is better.

Answer:

1.52%

Step-by-step explanation:

Answer:

20%

a) a train goes 60 mph for 180 miles

50 miles

Step-by-step explanation:

6/30=.20 = 20%

180 miles divided by 60 mph=3 hours

80%x = 40 miles

.8x=40

.8x/.8=40/.8

x=50 miles

Answer: 0.75 appex

Step-by-step explanation:

The sample proportion is 0.75 if  98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

The formula for finding the confidence interval for population standard deviation as follows:

[tex]\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}[/tex]

Where s is the standard deviation.

n is the sample size.

[tex]\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}[/tex] are the constant based on the Chi-Square distribution table:

α is the significance level.

σ is the confidence interval for population standard deviation.

Calculating the confidence interval for population standard deviation:

We know significance level = 1 - confidence level

From the data the margin of error = (0.78 - 0.72)/2

MOE = 0.03

98% Confidence interval for a sample proportion:

n - 0.03 = 0.72

n + 0.03 = 0.78

The interval is (0.72, 0.78)

The sample proportion = 0.75

Thus, the sample proportion is 0.75 if  98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.

Learn more about the confidence interval here:

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Answer:

x =(-8+√-32)/6=(-4+2i√ 2 )/3= -1.3333+0.9428i

Step-by-step explanation:

Answer:

n = 129

Step-by-step explanation:

Reference angle = 60°

Hypotenuse = n

Adjacent side = 64.5

Apply CAH, which is:

Cos 60 = adj/hyp

Cos 60 = 64.5/n

Multiply both sides by n

n×Cos 60 = 64.5

Divide both sides by cos 60

n = 64.5/Cos 60

n = 64.5/0.5

n = 129

Answer:

Option A is your answer

Answer: the sum is 1301

Answer:

1301

Step-by-step explanation:

1005 + 296 = 1301

Answer:

Step-by-step explanation:

Let us consider P(A) to be the probability for the fact that I will go for sailing today

Likewise, P(B) will be the probability of a die to come up on an even number in the next roll.

Now, according to the question,

P(A and B) = 0.3

It is known to us that the probability of a die to land with an even number on its side up =  

Moreover, we are given with the fact that both P(A) and P(B) are independent.

∴ P(A and B) = P(A) × P(B)

⇒ 0.3 = P(A) × 0.5

⇒ P(A) =  = 0.6

Answer:a

Step-by-step explanation: you can clearly see that the points are going up

As time went by, the average temperature tended to increase.

A graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present.

Given is the graph shown below displays the change in the average temperature of the world over time.

The scatterplot has a positive correlation. This means that as time went by, the average temperature tended to increase.

Therefore, as time went by, the average temperature tended to increase.

To solve more questions on scatterplots, visit the link below -

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Answer:

ST = 15 cm

Step-by-step explanation:

find BC first by adding four other sides and subtracting from 36.8

sum of 4 sides is 30.8, so BC = 6

Now find ST by creating a proportion from corresponding sides:

BC / ST = DE / UV

6 / ST = 13.2 / 33

Cross-multiply:

13.2ST = 198

ST = 198/13.2

ST = 15

Answer:

x=12, y=9, z=7, w=3

Step-by-step explanation:

Answer:

no

Step-by-step explain why

because they have to be the same numbers

Answer:

(8,2)

Step-by-step explanation:

the third option

Answer:

i guess (8,2)

Step-by-step explanation:

it's where both lines intercept

Answer:

Option C. y = -2x + 3

Step-by-step explanation:

When we look at this function we see that it has a negative slope and the y-intercept is equal to (0,3).  From this we know that the function we are looking for will be looking like...

y = mx + 3

And as I said earlier since the slope is negative, the only right option is this case will be Option C

Answer:

The correct anwer is (C) : y = - 2x + 3

Answer:

[tex]Rate = 9(t+1)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 9x^2 - 2[/tex]

[tex]Interval = [1,t][/tex]

Required

Determine the average rate of change

This is calculated using:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex][a,b] = [1,t][/tex]

So, we have:

[tex]Rate = \frac{f(t) - f(1)}{t - 1}[/tex]

Solve for f(t) and f(1)

[tex]f(t) = 9t^2 - 2[/tex]

[tex]f(1) = 9*1^2 - 2[/tex]

[tex]f(1) = 9 - 2[/tex]

[tex]f(1) = 7[/tex]

So, we have:

[tex]Rate = \frac{9t^2 - 2 - 7}{t - 1}[/tex]

[tex]Rate = \frac{9t^2 - 9}{t - 1}[/tex]

Factorize:

[tex]Rate = \frac{9(t^2 - 1)}{t - 1}[/tex]

Apply difference of two squares

[tex]Rate = \frac{9(t- 1)(t+1)}{t - 1}[/tex]

[tex]Rate = 9(t+1)[/tex]

Answer:

15.12

Step-by-step explanation:

3.6 x 4.2

first aline the decmials like you would regularly do to multiply.

Then multiply 2 x 6=12 and then 2 x 3=6 and put them down were you would already do noramly multiplying.

and then muliply 4x6=24 and 4x3=12 and do the same thing as you would do normaly and then add 72 and 144 to get 1512 and then count your decmail placing. which is 2 placeing in total which makes 1512 into 15.12

and now you done!

Example of how it should look...

       3   . 6

×       4   . 2

+       7   . 2

+   1 4 4  

=  1 5 1 2

Answer:

Kindly check explanation

Step-by-step explanation:

Number of clubs = 13

Number of face cards = 12

Number of hearts = 13

Number of King's = 4

Number of reds = 26

Number of spade = 13

Number of 6's = 4

Total possible outcomes = total number of cards = 52

Probability = required outcome / Total possible outcomes

1.) P(A club) = 13 / 52

2.) P(face card or heart) =

p(face card) + p(heart)

12 / 52 + 13/52

= (12 + 13) / 52 = 25 /52

3.)

(A 6 and a spade)

4/52 * 13/52

= 52 / 2704

= 1/52

4.) A king

P(king) = 4 /52 = 1/13

5) A red

P(red) = 26 / 52 = 1/2

Answer: 11 = x

Step-by-step explanation:

Answer:

it's definitely F .. Your welcome

Answer:

4

Step-by-step explanation:

since they are both on the same y coordinate, you have to count from -4 to 0, and that is 4

Answer:

1246 sq cm

Step-by-step explanation:

First, you find the area of the rectangle without the part cut out of it. Then, you find the area of the part cut out. Finally, you subtract the two.

34 x 39 = 1326

10 x 8 = 80

1326 - 80 = 1246

Answer:

She could choose 30 different combinations of cake and drink

Step-by-step explanation:

A coffee shop sells 5 different types of cake and 6 different kind of drinks.

This means that:

For each type of cake, there are 6 different kind of drink.

At all, there are 5 different types of cake.

So

6*5 = 30

She could choose 30 different combinations of cake and drink

Answer:

$7000

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.6%/100 = 0.016 per year,

then, solving our equation

P = 224 / ( 0.016 × 2 ) = 7000

P = $ 7,000.00

The principal required to

accumulate interest of $ 224.00

on a rate of 1.6% per year for 2 years is $ 7,000.00.

Answer:

dont know this one my apologies