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1 year ago

Which of the following correctly sets up the point-slope equation for this line?

Mathematics

1 answer:

Sophie [7]1 year ago

8 0

Answer: $y + 7 = \frac{1}{3}(x - 6)\\\\$

Work Shown:

$y - y_1 = m(x - x_1)\\\\y - (-7) = \frac{1}{3}(x - 6)\\\\y + 7 = \frac{1}{3}(x - 6)\\\\$

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P = 215(1.005)t/3

Reil [10]

Answer:

(D) 36

Step-by-step explanation:

0.5% = 0.5/100 = 0.005

It is given that the population (215) is predicted to increase by 0.5%. To know the value after increment, 215 has to be multiplied by (1 + 0.005) or 1.005.

In the equation P = 215(1.005)t/3, the value of t/3 has to be equal to 1 for 0.5% increase.

t/3 = 1

t = 3 years

Convert years to months.

n = 3 ⋅ 12 months

n = 36 months

The correct option is D.

Thanks!

Mark me brainliest!

6 0

1 year ago

A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three. The v

BigorU [14]

Answer: B) [-0.0332,0.1332]

Step-by-step explanation: Confidence Interval is an interval where we can be a percentage sure the true mean is.

The confidence interval for a difference in population proportion is calculated following these steps:

First, let's find population proportion for each population:

$p_{1}=\frac{30}{120}=0.25$

$p_{2}=\frac{32}{160}=0.2$

Second, calculate standard deviation for each proportion:

$\sigma_{1}=\sqrt{\frac{0.25(0.75)}{120} } = 0.0395$

$\sigma_{2}=\sqrt{\frac{0.2(0.8)}{160} } = 0.0316$

Now, we calculate standard error for difference:

$SE=\sqrt{\sigma_{1}^{2}+\sigma_{2}^{2}}$

$SE=\sqrt{0.0395^{2}+0.0316^{2}}$

SE = 0.0505

The z-score for a 90% CI is 1.645.

Then, confidence interval is

$p_{1}-p_{2}$ ± z-score.SE

$0.25-0.2$ ± $1.645(0.0505)$

0.05 ± 0.0831

The limits of this interval are:

inferior: 0.05 - 0.0831 = $-0.0332$

superior: 0.05 + 0.0831 = 0.1332

The 90% confidence interval for the difference in the population proportion of pit pulls and golden retrievers is $[-0.0332,0.1332]$ .

8 0

2 years ago

34789 divided by 54 equals what

AleksAgata [21]

644.240741
:).,.....................

3 0

2 years ago

1. If OQ and RT are parallel lines which statement is true?

Kaylis [27]

Answer:

Step-by-step explanation:

Question (1).

OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.

A). ∠OPS ≅ ∠RSU [corresponding angles]

B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]

C). m∠OPS + m∠OPN = 180° [Linear pair of angles]

D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]

And m∠TSP + m∠TSU = 180° [Linear pair of angles]

Therefore, Option (A) is the correct option.

Question (2).

A). m∠RSP + m∠RSU = 180° [Linear pair of angles]

B). m∠RSP + m∠PST = 180° [Linear pair of angles]

C). ∠RSP ≅ ∠TSU [Vertically opposite angles]

D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]

Therefore, Option (C) will be the answer.

3 0

2 years ago

Read 2 more answers

Which (one) of the following is equivalent to 1/x^3? a. (-x)^3 b. x^1/3 c. x^-3

Nezavi [6.7K]

The answer for this question is C

8 0

2 years ago