in a class of students, the following data table summarizes how many students have a brother or sister. What is the probability that a student chosen from randomly from the class does not have a sister? ​

(

x

,

y

)

=

(

3

5

,

4

1

5

)

or

(

x

,

y

)

=

(

−

3

,

−

3

)

Explanation:

Given

[1]

XXX

y

−

2

x

=

3

[2]

XXX

x

2

+

y

2

=

18

Re-writing [1]

[3]

XXX

y

=

2

x

+

3

Substituting

(

2

x

+

3

)

from [3] for

y

in [2]

[4]

XXX

x

2

+

(

2

x

+

3

)

2

=

18

Simplifying

[5]

XXX

x

2

+

4

x

2

+

12

x

+

9

=

18

[6]

XXX

5

x

2

+

12

x

−

9

=

0

Factoring

[7]

XXX

(

5

x

−

3

)

(

x

+

3

)

=

0

⇒

x

=

3

5

or

x

=

−

3

case 1:

x

=

3

5

Substituting

3

5

for

x

in [3]

XXX

y

=

2

(

3

5

)

+

3

=

4

1

5

case 2:

x

=

−

3

Substituting

(

−

3

)

for

x

in [3]

XXX

y

=

2

(

−

3

)

+

3

=

−

3

Answer:

The first thing you should do for this case is to graph the data you have in the statement to see the relationship between grapes and blueberries.

The function represented by the table is

y = 0.25x

Then, as Mandie is making 15 glasses of fruit salad, we have:

y + x = 15

We have two equations and two unknowns that we must solve.

y = 0.25x

y + x = 15

Resolving

For x:

0.25x + x = 15

1.25x = 15

x = 15 / 1.25 = 12

For y:

y = 0.25x = 0.25 (12) = 3

Answer

The ratio of grapes to blueberries she should use is 12: 3

The given fractions are plotted on number line as given below.

A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.

The given fractions are 7/8 and [tex]2\frac{1}{4}[/tex].

To plot fractions on the number line, follow the steps given below:

Step 1: Draw a number line of a suitable length.

Step 2: If the given fraction is a proper fraction, then mark points 0 and 1 on the number line. Or, if it is an improper fraction, then first convert it into a mixed fraction, and then mark two integers between those the given fraction lies.

Step 3: Draw an equal number of parts of the numbers marked in step 2 which will be equal to the denominator of the fraction.

Step 4: Starting from the left point, count forward the number of parts shown by the numerator.

Step 5: Mark the point on the line.

Hence, the given fractions are plotted on number line as given below.

Learn more about the number line here:

https://brainly.com/question/13425491.

#SPJ2

Answer:

d po yung answer

Step-by-step explanation:

sana makatulong

Answer:

Interest earned = $32.835

Step-by-step explanation:

Given the following data;

Principal = $275

Number of times = 0.5

Interest rate = 2.9% = 0.029

Time = 4 years

To find the interest earned, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 275(1 + \frac{0.029}{0.5})^{0.5*4}[/tex]

[tex] A = 275(1 + 0.058)^{2}[/tex]

[tex] A = 275(1.058)^{2}[/tex]

[tex] A = 275(1.1194)[/tex]

A = $307.835

Interest earned = 307.835 - 275

Interest earned = $32.835

Answer:

100x + 13000y = 865000

Step-by-step explanation:

x = Series A price

y = Series B price

Answer:181.5

Step-by-step explanation:

5.5*5.5*6

multiply by six because there are six side

Answer:

y=2x+6

Step-by-step explanation: y=mx+b

substitute in known values y=2x+b gradient is 2 (given)

substitute in coordinate values (1,8) 8=2(1)+b

solve for B    8=2+b

                     -2   -2

                      6=b

therefore the answer is y=2x+6

Answer:

The three pieces will have the following set of numbers

(9,6,0)  (8, 4,3), (7,5, 1,2)

Step-by-step explanation:

Given,

Martha's mother has marked the cake into 10 equal pieces starting from 0 t0 9

Now, she divided the cake in a manner that sum of digits on each of the three pieces is equal

0,1,2,3,4,5,6,7,8,9

(9,6,0)  (8, 4,3), (7,5, 1,2)

Hence the three pieces will have the following set of numbers

(9,6,0)  (8, 4,3), (7,5, 1,2)

Answer:

B) between 8 and 24 hours per week

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 16, standard deviation of 4.

Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.

Within 2 standard deviations of the mean, so:

16 - 4*2 = 16 - 8 = 8 hours per week.

16 + 4*2 = 16 + 8 = 24 hours per week.

This means that the correcgt answer is given by option B.

Answer:

x = 2, y = -1.

Step-by-step explanation:

2x + y = 3

x  -   y  = 3

Adding the 2 equations eliminates y:

3x = 6

x = 2.

Substitute for x in the first equation:

2(2) + y = 3

y = 3 - 4

y = -1.

Check the results by substitution in equation 2:

2 - (-1)

= 2 + 1 = 3 .

Checks OK.

Answer:

The probability that the center will have enough employees to handle this call volume is 0.2764

Step-by-step explanation:

Probability is defined as the ratio of favorable outcomes to the total number of outcomes.

Here the total mean expected number of outcomes=u = 4000

The favorable  expected outcomes are = x= 22* 178= 3916

The  standard deviation= σ= 5

The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5

So z= x-u/σ

Z= (3916-4000)/22/5

z= -0.764

From the table of areas under normal curve

P (  x= 3916)=  P( -0.764 ≤ Z≤ 0)

P (  x= 3916)=  0.2764

The probability that the center will have enough employees to handle this call volume is 0.2764

Answer:

A. P' (-4, 7), Q' (-6,7), R' (-7, -1) and S' (-3, -1)

Step-by-step explanation:

I calculated it logically

Step-by-step explanation:

sin theta =p/h

sin 42=x/13

0.66×13=x

x=8.69

Answer:

It would be 3 1/2!

Step-by-step explanation:

Because it is X by Y (Usually) AKA bottom row to side row so, it is in the middle of 3 and 4 so it would be 3 1/2!

Answer:

( 3, 3.5) or 3 1/2

Step-by-step explanation:

The cordinate is ( 3, 3.5) but if it has a fraction form like your question had all you want to do is convert 3.5 into a fraction. 3.5 into a fraction is 3 1/2 the 0.5 becomes 1/2 and the 3 is a 3. So the answer is 3 1/2 or ( 3, 3.5).

Answer:

A.

Step-by-step explanation:

It's the closest one to the answer, The answer I got is - 4;2

Answer:

35%

Step-by-step explanation:

[tex] \frac{56}{160} = \frac{7}{20} = 0.35 = 35\%[/tex]

Answer:

$2.84 for one batch

Step-by-step explanation:

$0.71 x 4 = $2.84

Answer:

$2.84 for one batch

Step-by-step explanation:

I know this how you ask? $0.71 x 4 = $2.84

Answer:

118

Step-by-step explanation:

All angles inside a triangle add up to 180. D and C is the same. 31 x 2 = 62

180 - 62 = 118

Answer:

I'm assuming that's supposed to just be 45, not $45

Step-by-step explanation:

35 small pies were sold

10 large pies = $50

35 small pies = $70

50 + 70 = 120

Answer:

8

Step-by-step explanation:

6:3=2

six divided by three equals four (hence the ratio)

2*4=8

two times four equals eight.

Answer:

its d i think bc i had that on my quizz

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

break down the shapes into simpler ones

do base X height for both

add both

Answer:

52cm^2

Step-by-step explanation:

Split the figure into 3 rectangles or squares and find the area of the individual shapes, add all the areas together and you should get 52cm^2

Answer: C equilateral triangle

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i did the test :)

Step-by-step explanation:

ky - k = y^2

ky - k ÷ y = y^2 ÷ y

k = y