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2 years ago

PLEASE PLEASE HELP!!

Mathematics

1 answer:

Black_prince [1.1K]2 years ago

7 0

Answer:

It is right

Step-by-step explanation:

square all sides

we have 16, 32, 48

add the two shortest sides, which equal the third side

the triangle works with the pythagorean theorem, so of course it is right :)

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Tammy drove 871 miles in 13 hours.

Evgen [1.6K]

Answer:

Tammy takes 5 hours to drive 335 miles.

Step-by-step explanation:

Given that :-

Tammy drove 871 miles in 13 hours.

To find :-

How long would it take her to drive 335 miles ?

Solution :-

Let us assume that it take her to drive 335 miles in x hours.

To find x, we need to find it in ratios.

871 miles = 13 hours

335 miles = x hours

Using cross multiplication method

871 × x = 335 × 13

multiply to get

871 x = 4, 355

divide each side by 871

871 x / 871 = 4,355 / 871

x = 5

hence, Tammy takes 5 hours to drive 335 miles.

6 0

2 years ago

Distribute the following expression: 9(2g + 5)

Kisachek [45]

9(2g + 5) = 18g + 45

answer is b) 18g + 45

5 0

3 years ago

Read 2 more answers

Simplify the expression 1/√(1-cos^2 x) . Remember cos x= 1/csc x

Cerrena [4.2K]

First, we are going to use the Pythagorean identity: $sin^2(x)+cos^2(x)=1$ to rewrite our expression. Solving for $sin^2(x)$ in our Pythagorean identity we get that $sin^2(x)=1-cos^2(x)$ , so we can rewrite our expression as follows:
$\frac{1}{ \sqrt{1-cos^2(x)} } = \frac{1}{ \sqrt{sin^2(x)} } = \frac{1}{sin(x)}$

Next, we are going to use the trig identity: $csc(x)= \frac{1}{sin(x)}$ to completely simplify our expression:
$\frac{1}{sin(x)} =csc(x)$

We can conclude that $\frac{1}{ \sqrt{1-cos^2(x)} }=csc(x)$

3 0

3 years ago

Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly sele

Serhud [2]

Answer:

The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

Step-by-step explanation:

The outcomes provided are:

(A) 0, 1, 2, 6, 7, 8

(B) 0, 1, 2, 7, 8

(D) 0, 1, 2, 8

Solution:

The random variable X can be defined as the number of employees who judge their co-workers by cleanliness.

The probability of X is:

P (X) = 0.65

The number of employees selected is:

n = 8

An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.

Since outcomes 0 and 1 are contained in all the options, we will check for X = 2.

Compute the value of P (X = 2) as follows:

$P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}$

$=28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022$

So X = 2 is unusual.

Similarly check for X = 6, 7 and 8.

P (X = 6) = 0.2587 > 0.05

X = 6 not unusual

P (X = 7) = 0.1373 > 0.05

X = 7 not unusual

P (X = 8) = 0.0319

X = 8 is unusual.

Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

3 0

3 years ago

Production of passenger cars in Japan increased from 3.94 million in 1999 to 6.74 million in 2009. What is the geometric mean an

vovangra [49]

Let's assume initial population is in 1999

so, production of passenger cars in Japan is 3.94 million in 1999

so, P=3.94 million

and the production of passenger cars in Japan is 6.74 million in 2009

so, A=6.74 million in t=2009-1999=10 years

now, we can use formula

$A=P(1+r)^t$

here , r is interest rate

so, we can plug values

$6.74=3.94(1+r)^{10}$

now, we can solve for

$\left(1+r\right)^{10}=\frac{337}{197}$

$r=0.05516$

so,

the geometric mean annual percent increase is 5.516%............Answer

7 0

3 years ago