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2 years ago

How much is half of 2.893

Mathematics

1 answer:

borishaifa [10]2 years ago

5 0

2.893/2 = 1.4465 Pretty much it

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What is the factor for the expression - 3x + 6

Archy [21]

Hello from MrBillDoesMath!

Answer:

3 ( -x + 2) is the factorization; 3 is the common factor

Discussion:

Each term in -3x + 6 has 3 as a factor so the factorization is

3 ( -x + 2)

Thank you,

MrB

5 0

2 years ago

Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin<0

Gre4nikov [31]

Answer:

Using trigonometric ratio:

$\sec \theta = \frac{1}{\cos \theta}$

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

From the given statement:

$\cos \theta = -\frac{4}{5}$ and sin < 0

⇒ $\theta$ lies in the 3rd quadrant.

then;

$\sec \theta = \frac{1}{-\frac{4}{5}} = -\frac{5}{4}$

Using trigonometry identities:

$\sin \theta = \pm \sqrt{1-\cos^2 \theta}$

Substitute the given values we have;

$\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}$

Since, sin < 0

⇒ $\sin \theta = -\frac{3}{5}$

now, find $\tan \theta$ :

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

Substitute the given values we have;

$\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}$

Therefore, the exact value of:

(a)

$\sec \theta =-\frac{5}{4}$

(b)

$\tan \theta= \frac{3}{4}$

7 0

3 years ago

A function has x-intercept 3 and y-intercept 2. Which of the functions below could be this function?

Sergeeva-Olga [200]

we are given

x-intercept is 3

so,

a=3

y-intercept is 2

b=2

now, we can intercept formula of line

$\frac{x}{a} +\frac{y}{b}=1$

now, we can plug

a=3 and b=2

$\frac{x}{3} +\frac{y}{2}=1$

now, we will get rid of denominators

so, we can multiply both sides by 6

$6*\frac{x}{3} +6*\frac{y}{2}=6*1$

$2x +3y=6$

we can also write it as

$3y-6=-2x$

so, option-D..................Answer

3 0

3 years ago

Witch of the following is clostest to 6?

r-ruslan [8.4K]

5.99999999999999999 is close to 6

3 0

3 years ago

In a random sample of 500 handwritten zip code digits, 464 were read correctly by an optical character recognition (OCR) system

In-s [12.5K]

Answer:

z= 2.38

P = 0.008656

Step-by-step explanation:

Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072

We formulate our null and alternate hypothesis as

H0 = 0.9 ; H0 > 0.9

The degree of confidence = 90%

z₀.₀₅ = 1.645 for α= 0.05

We use the test statistic

z= x- np/√npq

z= 466-500 *0.9/ √500 * 0.9(1-0.9)

z= 466- 450/ √45

z= 16/6.7082

z= 2.38

As the calculated value of z= 2.38 is greater than α =1.645 so we reject H0.

If H0 is true the P value is calculated as

P = 1- Ф( 2.38)

P = 1-0.991344=0.008656

7 0

3 years ago