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2 years ago

What does -(-3) equal?

Mathematics

1 answer:

boyakko [2]2 years ago

6 0

It does equal to +3

explanation = -(-3) = -1×(-3) = +3

When you multiply two negative numbers it turns out positive

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What is the value of y? Assume that the line is tangent to the circle

Misha Larkins [42]

Answer:

c 120

Step-by-step explanation:

I'm thinking isit is c120

7 0

2 years ago

Gini has a small garden that is 234 yards in length and 1 yard and with she grows roses 1/2 of her garden how many square yards

kipiarov [429]

Answer:

117 square yards.

Step-by-step explanation:

Given:

Length of garden = 234 yards

Breadth of garden = 1 yard

She grows roses 1/2 of her garden.

Question asked:

How many square yards are Gini's garden has roses ?

Solution:

First of all we will find area of rectangular garden.

$Area \ of \ rectangle = Length\times breadth$

$=234\times1 =234 \ square \ yards$

Then, as here given half of garden, she grows roses, we will find half of the

rectangular garden.

$\frac{1}{2} \ of 234\\\frac{1}{2} \times234 =117\ square\ yards$

Therefore, 117 square yards of her garden has roses.

5 0

2 years ago

Courtney has a total of 88 stamps worth $15.56. Some are $0.25 stamps and some are $0.02 stamps. How many of each foes she have?

olganol [36]

Let x = # of 25-cent stamps

y = # of 2-cent stamps

{ x+ y = 88

{ 0.25x + 0.02y = 15.56

60 25-cent stamps 28 2-cent stamps

5 0

2 years ago

1 matrix question help (with picture)

Dominik [7]

Answer:

a = 9/2

Step-by-step explanation:

In order for the equation to be true, the value of the scalar multiplier must be ...

15/3 = -10/-2 = 35/7 = 5

So, you're solving ...

(2/3)a + 2 = 5

(2/3)a = 3 . . . . . . subtract 2

a = 9/2 . . . . . . . . multiply by 3/2

3 0

2 years ago

Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi

ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles carry just one person.

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

$P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291$

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

$\mu = np = 92(0.64) = 58.88$

$\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60$

We have to evaluate the probability that more than 47 cars carry just one person.

$P(x \geq 47)$

After continuity correction, we will evaluate

$P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)$

$= 1 - P(z \leq -2.6913)$

Calculation the value from standard normal z table, we have,

$P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%$

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0

2 years ago