Every day, the Clark Pet Store uses 1 1/2 bags of dog food to feed the dogs. How many days will 7 1/2 bags of dog food last?

Given the equation 1/4y+3/4=8, what number

const2013 [10]

Answer:

#fddddffdddfloodsuuf

3 0

3 years ago

Work out the angle of elevation from the

insens350 [35]

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \:Angle \:\: of \:\: elevation= 30°$

____________________________________

$\large \tt Solution \: :$

Let the angle of elevation be " x "

$\qquad \tt \rightarrow \: \cos(x) = \dfrac{9 \sqrt{3} }{18}$

$\qquad \tt \rightarrow \: \cos(x) = \dfrac{ \sqrt{3} }{2}$

$\qquad \tt \rightarrow \: x = \cos {}^{ - 1} \bigg( \cfrac{ \sqrt{3} }{2} \bigg )$

$\qquad \tt \rightarrow \: x = 30 \degree \: \: or \: \: \cfrac{ \pi}{6} \: \: rad$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

8 0

2 years ago

Read 2 more answers

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

3 years ago

A mathematical sentence which contains an inequality symbol and one variable raised to the first power is called a ____ inequali

ch4aika [34]

The answer to fill in the blank should be ''Linear''.

5 0

4 years ago

PLEASE HELP ASAP <br> TRIGONOMETRY

otez555 [7]

Answer:

11). x = 25.8°

12). x = 67.3°

Step-by-step explanation:

11). By using sine rule in the given triangle,

cos(x) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

cos(x) = $\frac{27}{30}$

x = $\text{cos}^{-1}(\frac{9}{10} )$

x = 25.84

x ≈ 25.8°

12). By applying tangent rule in the given triangle,

tan(x) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

tan(x) = $\frac{43}{18}$

x = $\text{tan}^{-1}(\frac{43}{18} )$

x = 67.29°

x ≈ 67.3°

5 0

3 years ago