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Shtirlitz [24]
2 years ago
6

Jim has received scores of

Mathematics
1 answer:
seropon [69]2 years ago
7 0

Answer:

t ≥ 96   test score must be 96 or greater

Step-by-step explanation:

Let t - score on his third test

   (75 + 81 + t) ÷ 3 ≥ 84

⇒ (75 + 81 + t) ≥ 84 x 3

⇒ (75 + 81 + t) ≥ 252

⇒ 156 + t ≥ 252

⇒ t ≥ 252 - 156 ≥ 96

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An angle measures 44° less than the measure of its complementary angle. What is the measure of each angle? ​
Alchen [17]

Answer:

One angle is 46° and the other angle is 44°

Step-by-step explanation:

Complementary angle means the angles add up to 90 so:

90 - 44 = 46

6 0
3 years ago
Chris has an account that pays 3.64% simple interest per year and wants to accumulate $3,080 in interest from it over the next 1
Semenov [28]

Answer:

Step-by-step explanation: A=p(1±r%)>t

A=3,080(1+3.64%)>12

=4730. 200

6 0
2 years ago
In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300
Oduvanchick [21]

Answer:

 The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total  sample 2 number  (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The  hypothesis (Null) ....>  H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ =  0.3 - 0.25/√0.2667  (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722,  then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

3 0
3 years ago
Please help I will make you the brainiest (please no link people)
Andre45 [30]

Answer:

Solution,

Radius(r)=6 cm

Height(h)=20 cm

Volume of cylinder= pi (r)^2 h

=3.14*(6)^2*20

=3.14*36*20

=2260.8 cm^3

Hope it helps

Good luck on your assignment

4 0
3 years ago
Evaluate the expression 7^2/ x^2 - 2 for x = 3
vovikov84 [41]

Answer:

7

Step-by-step explanation:

7²/x²-2 when x=3

49/3²-2

49/9-2

49/7

answer=7

4 0
2 years ago
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