answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eva8 [605]
2 years ago
7

Savannah is working two summer jobs, making $12 per hour babysitting and $7 per hour washing cars. Savannah must earn a minimum

of $55 this week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours washing cars, ww, that Savannah can work in a given week.
Mathematics
1 answer:
postnew [5]2 years ago
7 0

Answer:

The inequality that represents the given situation is 12b + 7w ≥ 55

Step-by-step explanation:

Let us solve the question

∵ Savannah is working two summer jobs

∵ She is making $12 per hour babysitting

∵ The number of hours babysitting is b

→ Multiply 12 by b to find the amount earning from babysitting

∴ She is making 12b dollars from working as a babysitting

∵ She is making $7 per hour washing cars

∵ The number of hours washing cars is w

→ Multiply 7 by w to find the amount earning from washing cars

∴ She is making 7w dollars from working in washing cars

∵ Savannah must earn a minimum of $55 this week

→ minimum means ≥,

∴ The total earning ≥ 55

∵ The total earning is 12b + 7w

→ Use the two expressions of the total earning to write the inequality

∴ 12b + 7w ≥ 55

∴ The inequality that represents the given situation is 12b + 7w ≥ 55

You might be interested in
The director of marketing at a large company wants to determine if the amount of money spent on internet marketing is a good pre
____ [38]
The Answer would be 417 because 416.6 rounded is 417 and to get the answer you take the residual value and the profit into concideratio.
6 0
2 years ago
Two random samples are taken from private and public universities
kati45 [8]

Answer:

Step-by-step explanation:

For private Institutions,

n = 20

Mean, x1 = (43120 + 28190 + 34490 + 20893 + 42984 + 34750 + 44897 + 32198 + 18432 + 33981 + 29498 + 31980 + 22764 + 54190 + 37756 + 30129 + 33980 + 47909 + 32200 + 38120)/20 = 34623.05

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

Summation(x - mean)² = (43120 - 34623.05)^2+ (28190 - 34623.05)^2 + (34490 - 34623.05)^2 + (20893 - 34623.05)^2 + (42984 - 34623.05)^2 + (34750 - 34623.05)^2 + (44897 - 34623.05)^2 + (32198 - 34623.05)^2 + (18432 - 34623.05)^2 + (33981 - 34623.05)^2 + (29498 - 34623.05)^2 + (31980 - 34623.05)^2 + (22764 - 34623.05)^2 + (54190 - 34623.05)^2 + (37756 - 34623.05)^2 + (30129 - 34623.05)^2 + (33980 - 34623.05)^2 + (47909 - 34623.05)^2 + (32200 - 34623.05)^2 + (38120 - 34623.05)^2 = 1527829234.95

Standard deviation = √(1527829234.95/20

s1 = 8740.22

For public Institutions,

n = 20

Mean, x2 = (25469 + 19450 + 18347 + 28560 + 32592 + 21871 + 24120 + 27450 + 29100 + 21870 + 22650 + 29143 + 25379 + 23450 + 23871 + 28745 + 30120 + 21190 + 21540 + 26346)/20 = 25063.15

Summation(x - mean)² = (25469 - 25063.15)^2+ (19450 - 25063.15)^2 + (18347 - 25063.15)^2 + (28560 - 25063.15)^2 + (32592 - 25063.15)^2 + (21871 - 25063.15)^2 + (24120 - 25063.15)^2 + (27450 - 25063.15)^2 + (29100 - 25063.15)^2 + (21870 - 25063.15)^2 + (22650 - 25063.15)^2 + (29143 - 25063.15)^2 + (25379 - 25063.15)^2 + (23450 - 25063.15)^2 + (23871 - 25063.15)^2 + (28745 - 25063.15)^2 + (30120 - 25063.15)^2 + (21190 - 25063.15)^2 + (21540 - 25063.15)^2 + (26346 - 25063.15)^2 = 1527829234.95

Standard deviation = √(283738188.55/20

s2 = 3766.55

This is a test of 2 independent groups. Let μ1 be the mean out-of-state tuition for private institutions and μ2 be the mean out-of-state tuition for public institutions.

The random variable is μ1 - μ2 = difference in the mean out-of-state tuition for private institutions and the mean out-of-state tuition for public institutions.

We would set up the hypothesis. The correct option is

-B. H0: μ1 = μ2 ; H1: μ1 > μ2

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

t = (34623.05 - 25063.15)/√(8740.22²/20 + 3766.55²/20)

t = 9559.9/2128.12528473889

t = 4.49

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [8740.22²/20 + 3766.55²/20]²/[(1/20 - 1)(8740.22²/20)² + (1/20 - 1)(3766.55²/20)²] = 20511091253953.727/794331719568.7114

df = 26

We would determine the probability value from the t test calculator. It becomes

p value = 0.000065

Since alpha, 0.01 > than the p value, 0.000065, then we would reject the null hypothesis. Therefore, at 1% significance level, the mean out-of-state tuition for private institutions is statistically significantly higher than public institutions.

4 0
2 years ago
Mr. Jones waffle recipe uses 3/4 cups of milk to make 8 waffles how many cups of milk should be used to make 24 waffles?
ella [17]

Answer:

9/4

Step-by-step explanation:

If you need 3/4 cups of milk to make 8 waffles, you would need 9/4 cups to make 24 waffles because you are making 3 times the amount of waffles, so you need 3 times the amount of milk.

5 0
1 year ago
Complete the series: 3760, 1880, 360, 180, 45,?
frosja888 [35]
The answer is 1 in the series
5 0
2 years ago
Which is closest to the quotient 2,967 ÷ 0.003?
rodikova [14]

Answer:

989000

Step-by-step explanation:

Divide  2,967 ÷ 0.003

7 0
2 years ago
Other questions:
  • Circle tens to make 1 hundred. Write the number in different ways?
    10·2 answers
  • The graph of f(x) = |x – h| + k contains the points (–6, –2) and (0, –2). The graph has a vertex at (h, –5). Describe how to fin
    12·2 answers
  • Seorang pedagang mengeluarkan rp 1.500.000.00 untuk menjalankan usahanya.jika pada hari itu dia mendapatkan keuntungan sebesar 1
    7·1 answer
  • Knowing that sin 30 = 1/2 what is a
    12·2 answers
  • Work out (7x10^5)divide(2x10^2) give your answer in standard form (I WILL GIVE BRAINLIEST)
    15·1 answer
  • Carlos is giving his friend in another state a new umbrella as a gift. He wants to ship the umbrella in a box he already has. Wh
    13·2 answers
  • What is 64x6 + 27 written as a sum of cubes?
    12·2 answers
  • Fill in the missing monomials: a 100x2= (_____)2
    15·2 answers
  • Solve the two-step equation. -9x + 0.4 = 4 Which operation must be performed to move all the constants to the right side of the
    15·3 answers
  • Colin spends 1/3 of his wages on rent and 1/4 on food. If he makes £636 per week, how much money does he have left?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!