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77julia77 [94]
3 years ago
13

A surveyor is studying a map of the community and is using vectors to determine the distance between two schools. On the map, th

e surveyor determined that school A is at (7, 12), and school B is at (–21, –13). The scale of the map is 1 unit = 100 meters.
Which vector represents the path from school A to school B, and what is the actual distance between them?


a) components: LeftAngleBracket 28, 25 RightAngleBracket, actual distance: about 37.54 meters
b) components: LeftAngleBracket 28, 25 RightAngleBracket, actual distance: about 3,754 meters
c) components:LeftAngleBracket negative 28, negative 25 RightAngleBracket, actual distance: about 37.54 meters
d) components:LeftAngleBracket negative 28, negative 25 RightAngleBracket, actual distance: about 3,754 meters
Mathematics
2 answers:
guajiro [1.7K]3 years ago
5 0
<h2>C.  components: (-28,-25), actual distance about 37.54 meters</h2>
Stella [2.4K]3 years ago
3 0

Answer:

C: <-28,-25>, etc.

Step-by-step explanation:

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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 260 vinyl​ glov
yawa3891 [41]

Answer:

Step-by-step explanation:

pop 1 n₁ = 260, p₁ = 58% = 0.58

pop 2 n₂ = 260, p₂ = 8% = 0.08

Null hypothesis: p₁ ≤ p₂

Alternative hypothesis: p₁ > p₂

The test statistic : p₁-p₂ / √{p-sample (1 - p-sample) (1/n₁ + 1/n₂)}

where p-sample is sample proportion = p₁n₁ +p₂n₂ / n₁+n₂

Thus, p-sample = 0.58x260 +0.08x260 / 260+260 =150.8+20.8 / 520 = 171.6 / 520 = 0.33.

Thus, the test statistic is (0.58 - 0.08) / √[0.33 (1-0.33) (0.0038+0.0038)

  = 0.5 / √[0.33(0.67) (0.0076)

= 0.5 / √0.00168036

= 0.5 / 0.04099

= 12.20

P = P(Z>12.20) = 1-P(Z≤12.20) at a significance level of 0.1= the p-value is less than the hypothesized thus, we have sufficient evidence to reject the null hypothesis and concluding that vinyl gloves have a greater virus leak than latex gloves.

5 0
3 years ago
Use implicit differentiation to find the negative slope of a tangent to the circle x^2+y^2=16 at x=-2
SVETLANKA909090 [29]

Answer:

slope = - \frac{\sqrt{3} }{3}

Step-by-step explanation:

Differentiating implicitly with respect to x

2x + 2y \frac{dy}{dx} = 0

2y \frac{dy}{dx} = - 2x

\frac{dy}{dx} = - \frac{2x}{2y} = - \frac{x}{y}

\frac{dy}{dx} is the measure of the slope of the tangent

rearrange equation to find corresponding y-coordinate of x = - 2

y² = 16 - 4 = 12 = 2\sqrt{3} ⇒ y = ± 2\sqrt{3}

using x = - 2, y = - 2\sqrt{3}, then

\frac{dy}{dx} = - \frac{1}{\sqrt{3} } = - \frac{\sqrt{3} }{3}


3 0
3 years ago
Factorise the following 27 x minus 9 y​
dangina [55]

Answer:

27x-9y

3(9x-3y)

Step-by-step explanation:

please mark me as brainlest

4 0
2 years ago
20 POINTS!!!!! (Voting Brainiest) Four Short Math Problems!!
ankoles [38]
1. To find the degree of the polynomial find the variable with the highest exponent, in this case is y^4 which means the degree of the exponent is 4.
2. 1, 2 and 3 are polynomials because there are more than one terms in the expression.
3. It would be a quadratic trinomial.
4. It would be a cubic binomial.

3 0
3 years ago
Read 2 more answers
The value of y varies directly with x and y = 4.5 when x = 0.5. find y when x = 10
Pepsi [2]
So what you asked this is what I got

x(y) = 4.5

If x= 0.5 then 

0.5(y) = 4.5
y=9

x(y) = 4.5

10(y) = 4.5
y= 0.45



hope this helps :)





3 0
3 years ago
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