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dexar [7]
3 years ago
12

When adding to integers with different signs, how do you find the sign?

Mathematics
1 answer:
navik [9.2K]3 years ago
4 0

Answer:

the largest number would be the sign that that number has

Step-by-step explanation:

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Which statement about sound is true because it is a mechanical wave?
maw [93]

Answer:

It must travel through a medium

Step-by-step explanation: Because I said so >:(

4 0
3 years ago
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The lighthouse keeper that is at the top of a lighthouse that
Amiraneli [1.4K]

Step-by-step explanation:

Let θ be the angle of depression i.e the angle between the horizontal and the observer's line of sight.

tanθ= (Height of the light house)/(Horizontal distance of ship from the base of light house)

∴tanθ=88/1532=0.0574

∴θ=tan−1(0.0574)=3.290(2dp)

7 0
3 years ago
Bobby catches 8 passes in 3 football games. At this rate, how many asses does he catch in 15 games?
marshall27 [118]

Answer:

40

Step-by-step explanation:

8:3 So divide 15 by 3.  you get 5. Multiply 5 by 8 and you get 40

4 0
3 years ago
Determine whether the given triangle has no solution, one solution or two solutions. Then solve the triangle. Round measures of
yuradex [85]

Answer:

The triangle has one solution. The remaining side c ≈ 4 and remaining angles B = 30°; C = 31°.

Option D is correct.

Step-by-step explanation:

if angle A is obtuse and if a > b then the triangle has one solution

We are given ∠ = 119° which is obtuse and side a= 7 and side b - 4 i.e 7>4 so, the triangle has one solution.

Finding remaining side c and ∠B and ∠C

Using Law of sines to find ∠B

a/sin A = b/sin B

7/sin 119° = 4/sin B

7 * sin B = 4 * sin 119

7*sin B = 4(0.874)

sin B = 3.496/7

B = sin^-1(0.4994)

B = 29.96 = 30°

We know that sum of angles of triangle = 180°

So, 180° = 119° + 30° +∠C

180° = 149° + ∠C

=> ∠C = 180° - 149°

∠C = 31°

Now finding c

b/sin B = c /sin C

4/Sin 30 = c/sin 31

4* sin 31 = c*sin 30

4*0.515 = c* 0.5

=> c =  4*0.515/0.5

c = 4.12 ≈ 4

So, Option D one solution; c ≈ 4; B = 30°; C = 31° is correct.

7 0
3 years ago
When fishing off the shores of Florida, a spotted seatrout must be between 10 and 30 inches long before it can be kept; otherwis
Mademuasel [1]

Answer:

There is a 97.585% probability that a fisherman catches a spotted seatrout within the legal limits.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

The lengths of the spotted seatrout that are caught, are normally distributed with a mean of 22 inches, and a standard deviation of 4 inches, so \mu = 22, \sigma = 4.

What is the probability that a fisherman catches a spotted seatrout within the legal limits?

They must be between 10 and 30 inches.

So, this is the pvalue of the Z score of X = 30 subtracted by the pvalue of the Z score of X = 10

X = 30

Z = \frac{X - \mu}{\sigma}

Z = \frac{30 - 22}{4}

Z = 2

Z = 2 has a pvalue of 0.9772

X = 10

Z = \frac{X - \mu}{\sigma}

Z = \frac{10 - 22}{4}

Z = -3

Z = -3 has a pvalue of 0.00135.

This means that there is a 0.9772-0.00135 = 0.97585 = 97.585% probability that a fisherman catches a spotted seatrout within the legal limits.

3 0
3 years ago
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