MATHEMATICS
MIDDLE SCHOOL

Answer: _ 9.5:12.6 That is the answer, btw the 6 is repeating

MIDDLE SCHOOL

John is twice as old as Bill. Greg is 7 years older than Bill. Four years ago, the sum of their ages was 55. How old is Greg?

The age of Greg is 31 years.

What is a linear equation?- A linear equation has one or two variables.
- No variable in a linear equation is raised to a power greater than 1.
- No variable is used as the denominator of a fraction.

- A linear equation is defined as an equation that is written in the form of ax+by=c.
- When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.

solving this we will get the valve of Y if x is given.

Calculation:-

⇒let the actual age of Bill is X years.

four years ago the age Bill = X-4

⇒ then, the age of John is twice of Bill = 2X

four years ago age John = 2X-4

⇒Greg is 7 years older than Bill

Age of Greg = 2X+7

four years ago age Gerg = 2X+7-4

Four years ago Sum of their ages = 55

⇒ ( X-4)+(2X-4)+(2X+7-4)=55

⇒X-4+2x-4+2x+7-4=55

⇒5X=60

⇒X=12

∴age of Gerg is 2X+7

⇒2(12)+7

⇒31 years

age of bill=12 years

age of John 24 years.

Learn more about linear equations here:-brainly.com/question/2972832

#SPJ2

Answer:

Greg is 67 years old.

Step-by-step explanation:

John = 2 * B

G = 7 + B

J - 4 + B - 4 + G - 4 = 55

J + B + G = 67

2B + B + 7 + B = 67

4B = 60

B = 15

J = 30

G = 22

30 + 15 + 22 = 67

67 = 67

- I.A -

MIDDLE SCHOOL

Ms. Bloom received 2 1/7 bags of chocolate for Valentine's from her class and 5/7 of bag of chocolates from a few students from last year's class. She shared 1 2/7 with other teachers and took the of the chocolate home. How many bags of chocolate did she take home?

2 1/7 + 5/7 = 2 6/7 total bags

2 6/7 - 1 2/7 = 1 4/7 bags

She took 1 4/7 bags home.

2 6/7 - 1 2/7 = 1 4/7 bags

She took 1 4/7 bags home.

COLLEGE

An obstetrician knew that there were more live births during the week than on weekends. She wanted to determine whether the mean number of births was the same for each of the five days of the week. She randomly selected eight dates for each of the five days of the week and obtained the following data:a. Write the null and alternative hypotheses.b. State the requirements that must be satisfied to use the one-way ANOVA procedurec. On which day or dates are there more births?

Answer:

The complete question is stated below:

An obstetrician knew that there were more live births during the week than on weekends. She wanted to determine whether the mean number of births was the same for each of the five days of the week. She randomly selected eight dates for each of the five days of the week and obtained the following data:

Monday: Tuesday: Wednesday: Thursday: Friday:

10,456 11,621 11,084 11,171 11,545

10,023 11,944 11,570 11,745 12,321

10,691 11,045 11,346 12,023 11,749

10,283 12,927 11,875 12,433 12,192

10,265 12,577 12,193 12,132 12,422

11,189 11,753 11,593 11,903 11,627

11,198 12,509 11,216 11,233 11,624

11,465 13,521 11,818 12,543 12,543

a. Write the null and alternative hypotheses.

b. State the requirements that must be satisfied to use the one-way ANOVA procedure.

c On which day or dates are there more births?

Answer:

a. Null Hypothesis: There is no statistically significant difference between the mean number of babies born alive on Mondays, Tuesdays, Wednesdays, Thursdays and Fridays.

Alternative Hypothesis: The mean number of babies born alive on each weekday from Monday to Friday are not the same.

b) 1. The dependent variable should be measured at ratio or interval level

2. The independent variable should contain at least two groups that are categorical and independent

3. There must independence of observations between and within the various groups

4. No significant outliers should exist

5. for each group of the independent variable, the dependent variable should be approximately normally distributed.

6. the variances should be homogeneous

c. There are more births on Tuesdays and Fridays

Step-by-step explanation:

a. A Null Hypothesis is one that states that no statistical significance exist between the two variables in the hypothesis. It is the null hypothesis that the researcher tries to disprove. While the alternative hypothesis is simply the opposite of the null hypothesis, it hypothesizes that there is indeed a statistically significant relationship between the variables in question.

b. 1. The dependent variable should be measured at ratio or interval level; among the various levels of measurements such as ordinal, nominal, ratio or interval, the dependent variable must be either on the interval or ratio level.

2. The independent variable should contain at least two groups that are categorical and independent; the independent variable, in this case, the number of live births, should be two groups or more, and they should be categorical.

3. There must independence of observations between and within the various groups; the values observed within each group should be independent of the other. For example, no one pregnant woman should be involved in more than one group.

4. No significant outliers should exist; outliers are single data points within the measured variable that do not follow the usual point pattern of the other values, either values that are too high or too low. they reduce the accuracy of the one-way ANOVA.

5. for each group of the independent variable, the dependent variable should be approximately normally distributed; violations of normality causes the result to be invalid. It can only hold little variations to produce valid results.

6. the variances should be homogeneous; the variances (distribution or spread around the mean) of the two or more test groups must be considered equal.

c. Tuesday with a mean livebirth of 12,237 births and Friday with an average livebirth of 12,002 births have the most number of births.

HIGH SCHOOL

What is the probability that a mother received a gift of flowers or plants? Write the probability as a fraction in simplest form?

Since flowers/plants equal to 28% then it should be 28 over 100 as a fraction. the next step is simplify! Answer; 7/20

MIDDLE SCHOOL

There will be 10 pounds of flour put evenly into 7 sacks. How many pounds of flour will be in each sack?

Answer:

1.429 lbs per sack

Step-by-step explanation:

Given that 10 lbs of flour needs to be divided evenly into 7 sacks

amount of flour in each sack,

= 10 lbs ÷ 7 sacks

= 10/7 lbs per sack

= 1.429 lbs per sack

HIGH SCHOOL

What is the slope and y-intercept of the graph of the equation? 3y + 4x = 12

Slope = -4/3 and y-intercept = 12

Slope = -4 and y-intercept = 12

Slope = -4/3 and y-intercept = 4

Slope = 3/4 and y-incercept = 3

Answer:

Slope = -4/3

y intercept = 4

Step-by-step explanation:

Change the equation given into slope intercept form

3y + 4x = 12

3y = -4x + 12

y = -4/3 + 12/3

y = -4/3 + 4

m = -4/3 b = 4

Answer:

Slope = -4/3

y intercept = 4

Step-by-step explanation:

Change the equation given into slope intercept form

3y + 4x = 12

3y = -4x + 12

y = -4/3 + 12/3

y = -4/3 + 4

m = -4/3 b = 4

COLLEGE

Which is the best estimate of 90/70 divided by 1 3/4

90/70÷1 3/4=

9/7÷1 3/4=

9/7÷7/4=

36/49

9/7÷1 3/4=

9/7÷7/4=

36/49

MIDDLE SCHOOL

Given right triangle DEF,what is the value of tan(F)?

Answer: C, 40/9

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Answer:

C, 40/9

Step-by-step explanation:

ITS RIGHT ON 2020 EDGE

MIDDLE SCHOOL

On her pogo stick , Lula made 24 hops in 30 seconds. At this rate, how many hops will she make in 50 seconds?

Answer:

40 hops.

Step-by-step explanation:

We have been given that on her pogo stick, Lula made 24 hops in 30 seconds. We are asked to find the number of hops Lula will make in 50 seconds.

First of all, we will find hops made per second as:

To find the number of hops, we will multiply rate per second by number of seconds.

Therefore, Lula can make 40 hops in 50 seconds.

30/3= 10(if you do 30 divide by 3 then you need to divide 24 by 3 to)

24/3= 8

10x2= 20(same if you do 10 time 2 then you need to do 8 times 2)

8x2= 16

then add 30 and 24 with 20 and 16.

answer:40 in 50 sec

24/3= 8

10x2= 20(same if you do 10 time 2 then you need to do 8 times 2)

8x2= 16

then add 30 and 24 with 20 and 16.

answer:40 in 50 sec