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Ira Lisetskai [31]

3 years ago

12

Terry is putting a fence around his circular pasture. The radius of the pasture is 25 ft. Which of the following gives the BEST

estimation of how much fence Terry will need

1 answer:

vesna_86 [32]3 years ago

7 0

It need to be at least 50 ft long and 50 ft wide.

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Write the statement in if-then form.

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I believe the answer is A because its the only one that makes the most sense.

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Competition is most intense between closely related species that __________. have different beak sizes use different resources u

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Competition is most intense between closely related species that use the same resources, as both species are competing for these limited resources.

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3 years ago

A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is

seraphim [82]

Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at 0.01% level of significance

<em>They score is above 24 on the math portion of the exam</em>

<em>b) </em>

<u><em>Null Hypothesis</em></u>: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

<u>Alternative Hypothesis: </u>H₁: μ ≠ 24

<u>Step-by-step explanation:</u>

<u><em>Step(i)</em></u>:-

Given random sample 'n' = 250

Given data sample mean x⁻ = 24.5

Standard deviation = 3.3

<u><em>Null Hypothesis</em></u>: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

<u>Alternative Hypothesis: </u>H₁: μ ≠ 24

test statistic

$Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397$

a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576$

The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at 0.01% level of significance

<em>They score is above 24 on the math portion of the exam</em>

b) 95% or 0.05% level of significance

Level of significance ∝ = 0.05

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96$

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at 0.05% level of significance

<em>They score is below 24 on the math portion of the exam</em>

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3 years ago

Marina simplified the expression 4x + 5(–4x – b) – (x – 2) to be –17x – 8.

Simora [160]

The answer you are looking for is 2!!

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Solve the following equation for x.<br><br> 12x^2-36x=0

OlgaM077 [116]

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's solve for x ~

$\qquad \sf \dashrightarrow \:12 {x}^{2} - 36x = 0$

$\qquad \sf \dashrightarrow \:12 x({x}^{} - 3) = 0$

$\qquad \sf \dashrightarrow \:12x = 0 \: \: or \: \: x - 3 = 0$

$\qquad \sf \dashrightarrow \:x = 0 \: \: or \: \: x = 3$

Therefore, the possible values of x are 0 and 3

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