the value pi/24 is a solution for the equation 4 cos^4 (4x)-3

Answer:

4.4=-4

Step-by-step explanation:

just solving maths

Answer:

Step-by-step explanation:

the triangles are proportional

9/81=1/3

140-x/x=1/3

3(140-x)=x

420-3x=x

4x=420

x=420/4 = 105

Answer:

option D is correct, 4 ounces.

Step-by-step explanation:

In this case we have a random sample of 121 cologne bottles that showed an average content of 4 ounces.

The point estimate of the mean content of the bottles is average value.

What 4 ounces means is the correct answer since this is the mean, therefore the option D is correct

Answer:

i think its da second image!!!

Step-by-step explanation:

happy to help ya!

Answer:

  4.91 cm

Step-by-step explanation:

The Law of Sines tells you ...

  a/sin(A) = b/sin(B)

  a = b(sin(A)/sin(B)) = (4 cm)(sin(70°)/sin(50°))

  a ≈ 4.91 cm

Answer:

9 5/7

Step-by-step explanation:

You add all the 13/14 then divided it by 14

Then add all the while numbers then add then add them all together

Answer:

import pandas as pd

vec = pd.Series([7.12,24,4,18,12,9])

vec.plot(kind = 'hist')

Step-by-step explanation:

You can use python for that.

By doing

import pandas as pd

vec = pd.Series([7.12,24,4,18,12,9])

vec.plot(kind = 'hist')

And this is the result you get

Answer:

415people

Step-by-step explanation:

20%of250=100people

15%of the 100people=15people

So 100 went out remaining(500-100)400

Then 15 returned=400+15

415

Answer:

458 people in the building now.

Step-by-step explanation:

20%x500/2 = 20% x 250=50

15% x 50 = 7.5

7.5 + (500 - 50) =457.5 =458people.

Tell me if it's correct plz.

Hope this helps..

Answer:

4.65% probability that a randomly selected customer takes more than 10 minutes

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 7.45, \sigma = 1.52[/tex]

Probability that a customer takes more than 10 minutes:

This is 1 subtracted by the pvalue of Z when X = 10. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10 - 7.45}{1.52}[/tex]

[tex]Z = 1.68[/tex]

[tex]Z = 1.68[/tex] has a pvalue of 0.9535

1 - 0.9535 = 0.0465

4.65% probability that a randomly selected customer takes more than 10 minutes

Answer:

25

Step-by-step explanation:

AB is a tangent to the circle hence the angle ABO is a right angle !!! With that knowledge we can construct a right-angled triangle with sides AB ,BO and OA .

Applying the Pythagorean theorem we get that OA is the hypotenuse and thus

[tex]oa = \sqrt{ab {}^{2} + ob {}^{2} } [/tex]

Answer:

Options (A) and (C).

Step-by-step explanation:

There are two fractions given as

[tex]\frac{5}{12},\frac{3}{4}[/tex]

If we rewrite the fractions by making denominators common we can convert the fraction as,

[tex]\frac{5}{12}, \frac{3\times 3}{3\times 4}[/tex]

Or [tex]\frac{5}{12}, \frac{9}{12}[/tex]

Similarly, both the fractions with common denominators may be[tex]\frac{5\times 2}{12\times 2},\frac{3\times 6}{4\times 6}[/tex]

Or [tex]\frac{10}{24},\frac{18}{24}[/tex]

Therefore, denominators of both the fractions will be 12 and 24.

Options (A) and (C) will be the answer.

Answer:

Irene had $3744 at first.

Step-by-step explanation:

Let Angie and Irene had the money initially = $a

At a shopping mall Angie spent money = $2595

Money left with Angie = $(a - 2595)

Similarly, Irene spent the money = $297

Money left with Irene = $(a - 297)

Money left with Irene was thrice as much as Angie,

(a - 297) = 3(a - 2595)

a - 297 = 3a - 7785

3a - a = 7785 - 297

2a = 7488

a = [tex]\frac{7488}{2}[/tex]

a = $3744

Therefore, Irene had $3744 at first.

Answer:

$3746

Step-by-step explanation:

A=2595. I=2595

(x-293)=(x-2595)

X-293=3x-7785

-293+7785=2x

7492/2=x

 So. x=3746

Answer:

Step-by-step explanation:

The volume of a cone of height h and a circular base of radius r is given by [tex]V=\frac{\pi r^2 h }{3}[/tex]. Note that [tex]\pi r^2[/tex] is the area of the base, therefore, if we want to find the area of the base we must multiply the equation by 3 and divide by h.  Hence

[tex]\pi r^2 = \frac{3V}{h}[/tex]

In this case, h=12. Given a value of V, we can find the area of the base

Given:

Four different positive intergers as a product of 110

To find:

The sumnof the four numbers whose product is 110

Solution:

1) To find the number we have to find the prime factorization of the given number 110

2) Prime factorization of 110 is

110 = 1×2 × 5 = 11

3) So the four numbers whose product is 110 are 1,2,5 and 11

4) The sum of number's are

1+2+5+11=19

Answer:

9 quarters, 12 nickels, and 15 dimes.

Step-by-step explanation:

Let's start by naming the number of quarters x.

That means that the number of nickels is x+3.

(There are three fewer quarters than nickels)

The number of dimes would be x+6.

(There are six more dimes than quarters)

We know the total number of coins is 36.

We can set up an equation.

quarters+nickels+dimes=36

x+x+3+x+6=36

Combine like terms.

3x+9=36

Subtract 9 from both sides.

3x=27

Divide both sides by 3.

x=9

There are 9 quarters.

Use given info to find the number of other coins.

9+3=12

There are 12 nickels.

9+6=15

There are 15 dimes.

Answer:

1/8

Step-by-step explanation:

there are 8 pieces therefore the numerator would be 1 and the denominator 8.

Answer:

D.

Step-by-step explanation:

Answer:

You usually wouldn't divide lengths

Step-by-step explanation:

Answer:

They arrive on Monday, December 13th

Step-by-step explanation:

First, we know that this family must drive a total of 2,142 miles.

They average 50 miles per hour and drive 6 hours each day, thus we can see that they drive (50)(6)=300 miles per day.

Now, to know how many days it will take them to drive the total of 2,142 miles we are going to divide the total amount of miles between the number of miles driven per day:

2,142÷300= 7.14

Thus, it takes them 7.14 days to drive 2,142 miles.

If we round this (since the number is greater than 7 this would mean it takes them more than 7 days and they would stop at 7 for the day) to the next digit, we would have that it will take them 8 days to get to San Francisco.

Thus, since they start on December 6th (day 1), December 7th would be day 2 and following this pattern we would have that the eighth day would be December 13th.

Now, since the days repeat every 7 days and we now that December 6th was monday, we would have that the day they arrive to San Francisco (December 13th) is monday too.

Answer:

Step-by-step explanation:

Given:

  {(7, 2), (5, -4), (3, 3), (-4, -4)}

__

The domain is the set of first numbers:

  {7, 5, 3, -4} . . . domain

The range is the set of second numbers:

  {2, -4, 3} . . . range

No domain values are repeated, so this relation is a function.

Start by subtracting 10 from both sides.

This gives us 4x - 32 = -20.

Now add 32 to both sides to get 4x = 12.

Now divide both sides by 3 to get x = 3.

Answer:

She has to pay income tax of  8,570 Euros

Step-by-step explanation:

On the 28,000 Euros,the floor manager would pay taxes at the rate of 20% which is computed thus:

tax at 20%=28,000 Euros*20%=5,600 Euros

The remaining earnings would be charged to tax at higher tax rate of 41% as follows:

tax at 41%=45,000 Euros-28,000 Euros=17,000 Euros*41%=6,970  Euros

Total amount of taxes=5,600+6970 = 12,570 Euros

Taxes payable =total taxes -tax credit

The manager has a tax credit of 4,000 Euros

taxes payable= 12,570-4,000=8,570 Euros

Answer:

a) The probability that exactly 17 of them enroll in college is 0.116.

b) The probability that more than 14 enroll in college is 0.995.

c) The probability that fewer than 11 enroll in college is 0.001.

d) It would be be unusual if more than 24 of them enroll in college since the probability is 0.009.

Step-by-step explanation:

We can model this with a binomial distribution, with n=29 and p=0.65.

The probability that k students from the sample who graduated from high school in 2012 enrolled in college is:

[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{29}{k} 0.65^{k} 0.35^{29-k}\\\\\\[/tex]

a) The probability that exactly 17 of them enroll in college is:

[tex]P(x=17) = \dbinom{29}{17} p^{17}(1-p)^{12}=51895935*0.0007*0=0.116\\\\\\[/tex]

b) The probability that more than 14 of them enroll in college is:

[tex]P(X>14)=\sum_{15}^{29} P(X=k_i)=1-\sum_{0}^{14} P(X=k_i)\\\\\\P(x=0)=0\\\\P(x=1)=0\\\\P(x=2)=0\\\\P(x=3)=0\\\\P(x=4)=0\\\\P(x=5)=0\\\\P(x=6)=0\\\\P(x=7)=0\\\\P(x=8)=0\\\\P(x=9)=0\\\\P(x=10)=0.001\\\\P(x=11)=0.002\\\\P(x=12)=0.005\\\\P(x=13)=0.013\\\\P(x=14)=0.027\\\\\\P(X>14)=1-0.005=0.995[/tex]

c) Using the probabilities calculated in the point b, we  have:

[tex]P(X<11)=\sum_0^{10}P(X=k_i)\approx0.001[/tex]

d) The probabilities that more than 24 enroll in college is:

[tex]P(X>24)=\sum_{25}^{29}P(X=k_i)\\\\\\ P(x=25) = \dbinom{29}{25} p^{25}(1-p)^{4}=23751*0*0.015=0.007\\\\\\P(x=26) = \dbinom{29}{26} p^{26}(1-p)^{3}=3654*0*0.043=0.002\\\\\\P(x=27) = \dbinom{29}{27} p^{27}(1-p)^{2}=406*0*0.123=0\\\\\\P(x=28) = \dbinom{29}{28} p^{28}(1-p)^{1}=29*0*0.35=0\\\\\\P(x=29) = \dbinom{29}{29} p^{29}(1-p)^{0}=1*0*1=0\\\\\\\\P(X>24)=0.007+0.002+0+0+0=0.009[/tex]

Answer:

  -6 only

Step-by-step explanation:

f(0) is the value of y when x=0. This is the graph of a 4th-degree polynomial, so is a function. There is only one y-value for x=0. That is where the graph crosses the y-axis, at y = -6.

  f(0) = -6 . . . . only

Answer:

a) The observational units for this study  are coins

b)  The test is a two-tailed test.

c)  Since the p-value is < α, we can therefore conclude that long-run proportion of heads significantly differ from 0.50

d)  The findings are known as statistically important, due to the very large sample size. But the difference between the 0.50 ratio hypothesized and the 0.51 ratio observed isn't very large. Consequently , the findings are not relevant

Step-by-step explanation:

a) The observational units for this study  are coins

b) Number of heads = x = 14709

Number of flips = n = 29015

Sample proportion = [tex]\bar{p}[/tex] = x ÷ n = 14709 ÷ 29015=0.51

H[tex]_{o}[/tex] : p =0.50

H[tex]_{a}:[/tex] p [tex]\ne[/tex] 0.50

z = [tex](\bar{p}-p)/\sqrt{p(1-p)/n} = (0.51-0.50)/\sqrt{0.50 \times (1-0.50)/29015}[/tex]

z = 2.366

Using the normal distribution table, area under the normal curve to the right of z;

z = 2.366 = 0.009

The test is a two-tailed test.

Hence, p-value = [tex]0.009 \times 2[/tex] = 0.018

c) α = 0.05

p-value < α = 0.05, we reject the null hypothesis.

We can therefore conclude that long-run proportion of heads significantly differ from 0.50

d)  The findings are known as statistically important, due to the very large sample size. But the difference between the 0.50 ratio hypothesized and the 0.51 ratio observed isn't very large. Consequently , the findings are not relevant

Answer:

CO = 15

Step-by-step explanation:

Since it's a right Angled Triangle (because of the tangent) so using Pythagoras theorem

OC² = CW²+OW²

CO²=(9)²+(12)²

CO²=81+144

CO²=225

Taking square root on both sides

CO = 15

Answer:

YT AND RQ

Step-by-step explanation:

Answer:

84%

Step-by-step explanation:

What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.

We have that z is equal to:

z = (x - m) / (sd)

x is the value to evaluate, m the mean, sd the standard deviation

So for 190000 we have:

z = (190000 - 200000) / (10000)

z = -1

and this value represents 0.1587

for 230000 we have:

z = (230000 - 200000) / (10000)

z = 3

and this value represents 0.9987

we subtract:

0.9987 - 0.1587 = 0.84

Which means that it represents 84% of the houses

Answer:

x = 4

Step-by-step explanation:

Given 2 intersecting chords, then

The product of the parts of one chord is equal to the product of the parts of the other chord, that is

4x = 2 × 8 = 16 ( divide both sides by 4 )

x = 4

Answer:

C = pi  or approximately 3.14

Step-by-step explanation:

The circumference is equal to

C = 2 * pi *r

C = 2 * pi *.5

C = pi

We can approximate pi by 3.14

C = pi  or approximately 3.14