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Assoli18 [71]
3 years ago
15

HELP ME ASAP PLIS. This is the last question I don’t get it please help me people

Mathematics
1 answer:
ipn [44]3 years ago
4 0

Answer:

Component Form: v = <-1,6>

Magnitude of v: ||v|| = √37

Direction of v: θv = 100° (to the nearest degree)

Step-by-step explanation:

Component Form: v = <(5-6),(3-(-3))> = <-1,6>

Magnitude of v: ||v|| = √[(-1)²+(6)²] = √(1+36) = √37

Direction of v: α = tan⁻¹|6/-1| = tan⁻¹|-6| = tan⁻¹(6) = 80.53° which is your reference angle, but to verify that the angle is in the second quadrant, you'll need to do θv = 180° - 80.53° = 99.47°, therefore your direction angle is θv=100° to the nearest degree.

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kakasveta [241]

i can't really see the image but i'm sure it's pretty cool (:

8 0
3 years ago
In a random sample of 400 residents of Boston, 320 residents indicated that they voted for Obama in the last presidential electi
coldgirl [10]

Answer:

C.I =  0.7608   ≤ p ≤   0.8392

Step-by-step explanation:

Given that:

Let consider a  random sample n = 400 candidates where  320 residents indicated that they voted for Obama

probability \hat p = \dfrac{320}{400}

= 0.8

Level of significance ∝ = 100 -95%

= 5%

= 0.05

The objective is to  develop a 95% confidence interval estimate for the proportion of all Boston residents who voted for Obama.

The confidence internal can be computed as:

=\hat p  \pm Z_{\alpha/2} \sqrt{\dfrac{ p(1-p)}{n } }

where;

Z_{0.05/2} = Z_{0.025} = 1.960

SO;

=0.8  \pm 1.960 \sqrt{\dfrac{ 0.8(1-0.8)}{400 } }

=0.8  \pm 1.960 \sqrt{\dfrac{ 0.8(0.2)}{400 } }

=0.8  \pm 1.960 \sqrt{\dfrac{ 0.16}{400 } }

=0.8  \pm 1.960 \sqrt{4 \times 10^{-4}}

=0.8  \pm 1.960 \times 0.02}

=0.8  \pm 0.0392

= 0.8 - 0.0392     OR   0.8 + 0.0392  

= 0.7608    OR    0.8392

Thus; C.I =  0.7608   ≤ p ≤   0.8392

3 0
2 years ago
What is the perimeter of triangle PQR? Show your work.
zubka84 [21]
You know that the two triangles are congruent because two sides and one angle are congruent.

According to CPCTC, corresponding parts of congruent triangles are congruent, which means that PR and SU are equal.

3y-2=y+4
3y=y+6
2y=6
y=3

3(3)-2=9-2=7

7+4+6=17

The perimeter is 17 feet.

Hope this helps!
6 0
2 years ago
10 fish are in a tank, 3 fish drown, how many fish are left?
taurus [48]
10. Fish don't drown (; nice try tho
6 0
2 years ago
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Answer:

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