What is 70 percent of 1872

Answer:

[tex]\displaystyle \sec(\theta)=\frac{9\sqrt{17}}{17}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \sin(\theta)=\frac{8}{9}\text{ and } \tan(\theta)>0[/tex]

And we want to find sec(θ).

First, note that both sine and tangent are positive. The only quadrant in which this can occur is QI. Hence, all trig ratios will be positive.

Also, recall that sine is the ratio of the opposite side to the hypotenuse. Using this information and the Pythagorean Theorem, we can determine the adjacent side:

[tex]a=\sqrt{9^2-8^2}=\sqrt{17}[/tex]

So, with respect to θ, the adjacent side is √(17), the opposite side is 8, and the hypotenuse is 9.

Secant is the ratio of the hypotenuse to the adjacent. Hence:

[tex]\displaystyle \sec(\theta)=\frac{9}{\sqrt{17}}=\frac{9\sqrt{17}}{17}[/tex]

Again, since θ is in QI, all trig ratios are positive.

Answer:

The p-value of the test is 0.0062 < 0.05, which means that this is sufficient evidence that students are using more than just reading comprehension to answer this question

Step-by-step explanation:

The investigators reasoned that if questions were measuring knowledge or memory rather than just RC, students would answer questions at a higher rate than chance (20%, since there were 5 choices for each question).

This means that at the null hypothesis, we test that the proportion is the probability of answering correctly by change, that is 20%. So

[tex]H_0: p = 0.2[/tex]

At the alternate hypothesis, we test that the proportion is above 20%, that is:

[tex]H_a: p > 0.2[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.2 is tested at the null hypothesis:

This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]

Suppose that on one question, 30 out of 100 examinees answered the question correctly.

This means that [tex]n = 100, X = \frac{30}{100} = 0.3[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.3 - 0.2}{\frac{0.4}{\sqrt{100}}}[/tex]

[tex]z = 2.5[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.3, which is 1 subtracted by the p-value of z = 2.5.

Looking at the z-table, z = 2.5 has a p-value of 0.9938

1 - 0.9938 = 0.0062

The p-value of the test is 0.0062 < 0.05, which means that this is sufficient evidence that students are using more than just reading comprehension to answer this question

Answer:

am i suppoesd to do number 7 as well?

Step-by-step explanation:

Two wires

tether a balloon to the ground, as shown. How

high is the balloon above the ground? (Must Use Right

Triangle Trigonometry)

look at picture

The height of the balloon above the ground is 554 ft.

From the attached image, the third angle in triangle 1 would be;

180 - (90 + 85) = 5°

The supplementary angle in triangle 2 to 85° in triangle 1 is;

180 - 85 = 95°(because supplementary angles add up to 180)

The third angle of triangle 2 is; 180 - (95 + 75) = 10°

100/sin10 = z/sin 75

z = 100(sin 75)/(sin 10)

h/z = sin 85

h = z sin 85

h = [100(sin 75)/(sin 10)] × sin 85

h ≈ 554 ft

Read more at; https://brainly.com/question/6241673

Answer:

C. -1

Step-by-step explanation:

I calculated it logically

Answer:

I'm guessing you mean -7 < -12 and if it's true and false, if so the answer would be false because -7 is larger than -12.

Step-by-step explanation:

I'm guessing you mean -7 < -12 and if it's true and false, if so the answer would be false because -7 is larger than -12.

(Tell me the question if this is incorrect. Thanks!!!)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

ℎℎ ℎ

Step-by-step explanation:

ℎℎℎℎ ℎ ℎ

Answer:

BC = x = 8.12

AB = 15.33

Step-by-step explanation:

The missing sides of the right triangle is AB and BC;

Step 1: solve for BC using the following formula;

[tex]tan(\theta) = \frac{Opposite \ side}{Adjacent \ side} \\\\tan (32)= \frac{BC}{AC} \\\\tan(32) = \frac{x}{13} \\\\x = 13 \times tan(32) \\\\x = 8.12 \[/tex]

Step 2; solve for AB using a trig ratio or Pythagoras theorem;

[tex]cos (\theta) = \frac{Adjacent \ side }{Hypotenuse \ side} \\\\cos (32) = \frac{AC}{AB} \\\\cos (32) = \frac{13}{AB} \\\\AB = \frac{13}{cos (32)} \\\\AB = 15.33[/tex]

Answer:

By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7.1 mm.

This means that [tex]\mu = 187, \sigma = 7.1[/tex]

Suppose that 12 individuals are randomly chosen.

This means that [tex]n = 12, s = \frac{7.1}{\sqrt{12}} = 2.05[/tex]

What is the distribution of ¯ x?

By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.

Answer:

sum

In the given G.S., we have,

a

=

the

1

s

t

term

=

3

,

& the common ratio

r

=

−

6

3

=

−

2

Hence, the sum

S

n

of its first

n

terms is given by,

S

n

=

a

(

1

−

r

n

)

1

−

r

∴

The Reqd. Sum S_7

=

3

(

1

−

(

−

2

)

7

)

1

−

(

−

2

)

=

3

(

1

+

128

)

3

=

129

Answer:

3.1

Step-by-step explanation:

In order to solve for this expected value, you need to do:

(0*0.3)+(1*0.15)+(2*.27)+(3*20)+(4*.13)+(5*.10)+(6*.07)+(7*0.3)+(8*0.2)

Meaning that it is:

0+.15+.54+.6+.52+.5+.42+.21+.16

Which equals to: 3.1

Also: Feel free to correct my answer by any means, I feel like I got some parts wrong.

Answer:

The answer is, 3.1

Step-by-step explanation:

A probability distribution is a statistical function that describes all of the potential values and probabilities for a random variable within a particular range.

To find this predicted value, you must do the following:[tex](0*0.3)+(1*0.15)+(2*.27)+(3*20)+(4*.13)+(5*.10)+(6*.07)+(7*0.3)+(8*0.2)[/tex]

That is to say, it is:

[tex]0+.15+.54+.6+.52+.5+.42+.21+.16[/tex]

3.1 is the value of the random variable.

To know more about  probability distribution here, https://brainly.com/question/9385303

#SPJ2

Answer:

A. X-coordinate

Step-by-step explanation:

I calculated it logically

Answer:

I think it's x -coordinate

Answer: 99.06cm

Step-by-step explanation:

Note that 1 inch = 2.54cm

Therefore, we'll convert the sides of the frame in inches to cm. This will be:

8 1/2 inch = 8.5 × 2.54cm = 21.59cm

11inches = 11 × 2.54cm = 27.94cm

Therefore, the perimeter of a rectangle will be:

= 2(length + width)

= 2(27.94 + 21.59)

= 2(49.53)

= 99.06cm

Answer: no possible triangles

Step-by-step explanation:

Answer: y=3x+1

Step-by-step explanation:

First find slope using formula

m= y2–y1/x2–x1

m= 4– (—2)/ 1— (—1)

m= 3

So,

y= mx+b

y=3x+b. Using (1,4) plug into equation of a line

4= 3(1)+b

4 – 3= b

1= b. So,

y=3x+1

Answer:

y= 3x+1.

Step-by-step explanation:

(-1,-2) and (1,4)

x1 = -1

x2= 1

y1= -2

y2=4

y - y1= (y2 - y1)

______ ( x - x1)

(x2 - x1)

y- (-2)=(4-(-2))

_____ (x- (-1))

(1-(-1))

y+2= 4+2

___ (x+1)

1+1

y+2= 6

_ (x + 1)

2

y+2=3(x+1)

y+2=3x+3

y=3x+1.

Answer:

[tex]144\pi[/tex]

Step-by-step explanation:

Formula for the volume of a cylinder is the Base Area x Height

or

[tex]V= \pi r^{2} * h[/tex]

Plug in the values:

[tex]V = \pi(6)^2 * 4[/tex]

[tex]V = 36\pi *4 = 144\pi[/tex]

9514 1404 393

Answer:

  m = 8

  n = 4√3

Step-by-step explanation:

The right triangles in this figure are all similar, so the ratios of hypotenuse to short side are the same.

  (12+4)/m = m/4

  64 = m² . . . . multiply by 4m

  8 = m . . . . . . square root

__

Likewise, the ratio of long side to short side is the same.

  12/n = n/4

  48 = n² . . . . . . multiply by 4n

  4√3 = n . . . . . take the square root

_____

Additional comment

You may have noticed that the ratios of side lengths are ...

  4 : n : m = 4 : 4√3 : 8 = 1 : √3 : 2 . . . . . side lengths of a 30°-60°-90° triangle

This means the unmarked side is 8√3.

__

We supplied all of the missing lengths because we know this problem is likely to be presented in different forms, asking for values other than m.

Answer:

50%

Step-by-step explanation:

There are 2 cards greater than 5 , that is 6 and 7 , then

P( greater than 5 ) = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] = 50%

Answer:

peregrine falcon

Step-by-step explanation:

you convert the 61.6 feet to miles which is 0.01166667 miles. you multiply that by the seconds in an hour(3600)

so 0.01166667*3600 = 42 miles an hour 75>42

Answer:

90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

First group: Sample of 163, 13% has a second episode.

This means that:

[tex]p_1 = 0.13, s_1 = \sqrt{\frac{0.13*0.87}{163}} = 0.026[/tex]

Second group: Sample of 160, 14% has a second episode

This means that:

[tex]p_2 = 0.14, s_2 = \sqrt{\frac{0.14*0.86}{160}} = 0.027[/tex]

Distribution of the difference:

[tex]p = p_1 - p_2 = 0.13 - 0.14 = -0.01[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.026^2+0.027^2} = 0.0375[/tex]

Confidence interval:

The confidence interval is:

[tex]p \pm zs[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Lower bound:

[tex]p - 1.645s = -0.01 - 1.645*0.0375 = -0.0717[/tex]

Upper bound:

[tex]p + 1.645s = -0.01 + 1.645*0.0375 = 0.0517[/tex]

90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).

Answer:

[tex]\sqrt{74}\\[/tex]

Step-by-step explanation:

Use hypotenus formula

A^2+b^2=C^2

5^2+7^2=C^2

25+49=c^2

74=C^2

[tex]\sqrt{74}\\[/tex]

Answer:

c

Step-by-step explanation:

Answer:

a = 4

Step-by-step explanation:

Lets call a² the side a

Let's call b² the side with 3

The hypotenuse, the longest side and the opposite side from the 90° angle is c²

a² + b² = c²

a² + 3² = 5²

a² + 9 = 25

subtract 9 from both sides

a² = 16

sq root 16 = 4

a = 4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: Circle

Solve for area

A≈17.9

C Circumference

15

d

r

r

r

d

d

C

A

Using the formulas

A=πr2

C=2πr

Solving forA

A=C2

4π=152

4·π≈17.90493

Step-by-step explanation:

Answer:

$5.10

Step-by-step explanation:

$3.85+$1.25=$5.10

Answer:

If she only bought one pen and one pencil, $5.10

Step-by-step explanation: