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Nina [5.8K]
3 years ago
8

Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money? 250.

5 + 35m = 300 + 45.25m 250.5 – 35m = 300 – 45.25m 250.5m – 35 = 300m – 45.25 250.5m + 35 = 300m + 45.25
Mathematics
1 answer:
loris [4]3 years ago
5 0

Answer:

250.50 - 35m = 300 - 45.25m

Step-by-step explanation:

Given :

International Business School :

Initial = 250.50

Spending per month = $35

Future Agricultural leaders club :

Initial = $300

Spending per month = 45.25

The number of months, m itvwi take for them to have the same amount of money :

Total spending after m months for both :

Initial - spending per month * number of months

International Business School :

250.50 - 35m - - - (1)

Future Agricultural Leaders Club :

300 - 45.25m - - - - - 2)

Equate both : (1) and (2)

250.50 - 35m = 300 - 45.25m

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The mean breaking strength of yarn used in manufacturing drapery material is required to be more than 100 psi. Past experience h
Ganezh [65]

Answer:

H0: μ = 100 ; H1: μ > 100 ;

Test statistic = 0.75 ;

We fail to reject null ;

Kindly check explanation for the rest

Step-by-step explanation:

Given that :

H0: μ = 100

H1: μ > 100

Sample mean, x = 100.6 ; n = 9 ; sample Standard deviation, s = 2.4

Test statistic :

(x - μ) ÷ s/sqrt(n)

(100.6 - 100) ÷ 2.4 / sqrt(9)

0.6 ÷ 0.8 = 0.75

Probability of not rejecting the null :

P = P(Z > 0.75) = 0.22663

α = 0.05

Since, P > α ; we fail to reject the Null ; there is no sufficient evidence to accept the claim that mean strength is > 100 psi

μ + Zcritical*s/sqrt(n)

Zcritical at (1 - α) = 1.645

100 + 1.645*(2.4/3)

100 + 1.316 = 101.316

(x - μ) ÷ s/sqrt(n)

(101.316 - 102) ÷ 2.4 / sqrt(9)

-0.684 ÷ 0.8 = 0.75

= - 0.855

P(Z < - 0.855) = 0.1963 (Z probability calculator).

95% lower confidence interval :

x - error margin, E

E = Zcritical * s/sqrt(n)

E = 1.645 * 0.8 = 1.316

100.6 - 1.316 = 99.284

From part c :

Interval becomes ;

(99.284, 101.316) ; this interval contains the hypothesized mean value of 100. Hence we fail to reject the null.

8 0
3 years ago
Please help me figure out what x is
ivolga24 [154]

Answer:

the answer is 58 your welcome

8 0
3 years ago
2. solve 4w − 7k = 28 for k. show your work
NISA [10]
4w-7k=28
-7k+4w+-4w=28+-4w
-7k=-4w+28
-7k/-7=-4w+28/-7
k=4/7w-4

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Liono4ka [1.6K]
I don’t understand your question can you explain it more
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I need to find surface area
boyakko [2]

Answer:

489.6

Step-by-step explanation:

6 x 6 x 2 x 4 x 1.7

6 x 6 = 36

36 x 2 x 4 x 1.7

36 x 2 = 72

72 x 4 x 1.7

72 x 4 = 288

288 x 1.7 = 489.6

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4 years ago
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