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2 years ago

Evaluate. 21 + } + (-)) - Enter your answer as a mixed number in simplest form in the box.

Mathematics

1 answer:

andrew-mc [135]2 years ago

3 0

Evaluate: 2(1/4) + 2/5 ÷ (-1/2) - 1/4

⇛9/4 + 2/5 ÷ (-1/2) - 1/4

Take the LCM of the 4 and 5 is 20.

Again, 2 and 4 is 4.

⇛[(54+8)/20] ÷ [(-2 - 1)/4]

⇛62/20 ÷ (-3/4)

⇛62/20 × 4/-3

⇛62/{5*(-3)}

⇛62/-15.

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A study of 35 golfers showed that their average score on a particular course was 92. The sample standard deviation was 5. We wan

svlad2 [7]

Answer:

$t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$

Step-by-step explanation:

We have a sample of size n = 35, $\bar{x} = 92$ and $s = 5$ . As we want to construct a 95% confidence interval to estimate the value of the true population mean $\mu$ , we should use the pivotal quantity given by $T = \frac{\bar{X}-\mu}{S/\sqrt{n}}$ which comes from the t distribution with n - 1 = 35 - 1 = 34 degrees of freedom. Besides we should use the t-value $t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$ , i.e., regarding the t-distribution with 34 degrees of freedom, we have an area of 0.025 above 2.0322 and below the probability density function. The rationale behind this is that $P(-2.0322\leq T\leq 2.0322) = 0.95$ because of the simmetry of the t distribution.

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2 years ago

15. 3x – 4y = -1<br> 5x + 2y = 7

never [62]

Answer:

x = 1, y = 1

Step-by-step explanation:

3x - 4y = -1

5x + 2y = 7

If we multiply the whole second equation by 2, we get:

10x + 4y = 14

Adding this to the first equation:

10x + 4y + 3x - 4y = 14 - 1

13x = 13

x = 1

Applying this to the second equation:

5 (1) + 2y = 7

2y = 2

y = 1

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3 years ago

Please help with all 3

DerKrebs [107]

Answer:

1, volume=23×9×5

=1035

2, volume=(1/2×5×4)×20

... =200

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2 years ago

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13. What is the rule of the function whose<br> graph is shown below?

PtichkaEL [24]

Answer:

x-x-y

Step-by-step explanation:

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2 years ago

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.

Step2247 [10]

Hello,

a(2)=-6
a(3)=-6*r
a(4)=-6*r²
a(5)=-6*r^3=162
a(5)/a(2)=r^3=162/(-6)=-27==>r=-3

a(1)=-6/(-3)=2
a(2)=2*(-3)
a(3)=2*(-3)²
a(4)=2*(-3)^3
a(5)=2*(-3)^4

a(n)=2*(-3)^(n-1)

Answer

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2 years ago

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