I received a letter from your competitor that mentions a savings of 15% over your prices. Can you match this offer? My current rate is $129.00 per month."

Answer:

The 85% confidence interval for the mean number of toys purchased each year is (6.7, 6.9).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.44\frac{2.1}{\sqrt{686}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 6.8 - 0.1 = 6.7

The upper end of the interval is the sample mean added to M. So it is 6.8 + 0.1 = 6.9

The 85% confidence interval for the mean number of toys purchased each year is (6.7, 6.9).

Answer:

69/11

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x−3+2x−7+5x−1=58

4x+−3+2x+−7+5x+−1=58

(4x+2x+5x)+(−3+−7+−1)=58(Combine Like Terms)

11x+−11=58

11x−11=58

Step 2: Add 11 to both sides.

11x−11+11=58+11

11x=69

Step 3: Divide both sides by 11.

11x /11  = 69/11

Answer:

x = 69/11

Step-by-step explanation:

4x - 3 + 2x - 7 + 5x - 1 = 58 collect like terms ↓

11x - 3 - 7 - 1 = 58

11x - 11 = 58 move the constant to the right-hand side and change its sign ↓

11x = 58 + 11 add the numbers ↓

11x = 69 then divide both sides of the equation by 11 ↓

x = 69/11 ;)

Answer:

Read below

Step-by-step explanation:

They want green

out of all spinner results 3 of them were green

it was spun 40 times total

3/40=0,075 to the nearest hundred is 0,08

3/41=0,0731 to the nearest hundred is 0,07

I'm not sure but it is probably one of these answers

Answer:

1/4 in 36 hours

1/8 in 72 hours

To determine the fraction of the original drug dose remaining after a certain time, we can use the concept of half-life. The half-life is the time it takes for half of the drug to decay or be eliminated from the bloodstream.

Given that the half-life of the drug is 18 hours, we can calculate the fraction of the original drug dose remaining after a certain number of hours.

After 18 hours (one half-life), half of the drug remains, which is equal to 1/2 or 0.5 of the original dose.

To find the fraction remaining after 36 hours (two half-lives), we can halve the remaining amount from the previous step:

(1/2) * (1/2) = 1/4 or 0.25

Therefore, after 36 hours, 1/4 or 0.25 of the original drug dose remains.

To find the fraction remaining after 72 hours (four half-lives), we can continue halving the remaining amount:

(1/2) * (1/2) * (1/2) * (1/2) = 1/16 or 0.0625

Therefore, after 72 hours, 1/16 or 0.0625 of the original drug dose remains.

In summary:

After 36 hours, 1/4 or 0.25 of the original drug dose remains.

After 72 hours, 1/16 or 0.0625 of the original drug dose remains.

To know more about fraction here

https://brainly.com/question/30154928

#SPJ2

Answer:

3 & -2

Step-by-step explanation:

(2x – 1)^2 = 25

2x -1 = ±√25

2x -1 = ± 5

• 2x = 5+1

2x = 6

x = 3

• 2x = -5+1

2x = -4

x = -2

Answer:

Solution given:

(2x – 1)^2 = 25.

square root on both side

[tex]\sqrt{(2x-1)²}=\sqrt{25}[/tex]

2x-1=±5

Taking positive

2x-1=+5

2x=+5+1

x=6/2=3

Taking negative

2x-1=-5

2x=-5+1

x=-4/2

x=-2

The two Solution is x=-2 and x=3.

Answer:

1/5

Step-by-step explanation:

Answer:

as given 20%,

so 20% into fraction

20

100

=>1

5 is the answer

Answer:

angle B = angle C

Step-by-step explanation:

______________

Step-by-step explanation:

hdjsje dhd d sis s. sjxjdns

Answer:

geometry?

Step-by-step explanation:

SHEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEESH

Step-by-step explanation:

if x is from B to D then it's 12-2= 10

x= 10

Answer:

The trigonometric ratios are presented below:

[tex]\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}[/tex]

[tex]\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}[/tex]

[tex]\cot \theta = \frac{BC}{AC}[/tex]

[tex]\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}[/tex]

[tex]\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}[/tex]

Step-by-step explanation:

From Trigonometry we know the following definitions for each trigonometric ratio:

Sine

[tex]\sin \theta = \frac{y}{h}[/tex] (1)

Cosine

[tex]\cos \theta = \frac{x}{h}[/tex] (2)

Tangent

[tex]\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}[/tex] (3)

Cotangent

[tex]\cot \theta = \frac{\cos \theta}{\sin \theta} = \frac{x}{y}[/tex] (4)

Secant

[tex]\sec \theta = \frac{1}{\cos \theta} = \frac{h}{x}[/tex] (5)

Cosecant

[tex]\csc \theta = \frac{1}{\sin \theta} = \frac{h}{y}[/tex] (6)

Where:

[tex]x[/tex] - Adjacent leg.

[tex]y[/tex] - Opposite leg.

[tex]h[/tex] - Hypotenuse.

The length of the hypotenuse is determined by the Pythagorean Theorem:

[tex]h = \sqrt{x^{2}+y^{2}}[/tex]

If [tex]y = AC[/tex] and [tex]x = BC[/tex], then the trigonometric ratios are presented below:

[tex]\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}[/tex]

[tex]\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}[/tex]

[tex]\cot \theta = \frac{BC}{AC}[/tex]

[tex]\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}[/tex]

[tex]\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}[/tex]

Answer:

The radian :

[tex] \frac{2\pi}{3} [/tex]

Answer:

3888

Step-by-step explanation:

Answer:

25% of 972= 243

243+972=1215 students

Answer:

I tried but it said 4 0 4 e r r o r i d k why

Step-by-step explanation:

Answer:

the answer is 68 miles

Step-by-step explanation:

you would change 5 hours and 30 minutes to 330 minutes and then you would do 374/330 and 330/330 that would be 1.13333333333 and 1 next you would do 1.13333333333 times 60 and 1 times 60 and it would equal to 68 miles in 60 minutes or 1 hour

Answer:

I think c

but I am not sure

Answer:

14 sides

Step-by-step explanation:

Sum of the interior angles of a polygon is given by the formula (n-2)180°. So (n-2)180° = 2160°. So the polygon has 14 sides.

Let's calculate

4/15×285 + 3/20×320 = 124

124 students are participating in these exercises.

7 students is participating

Answer:

A. 140 feet

Step-by-step explanation:

I calculated it logically

Answer:

C. ±4/5

Step-by-step explanation:

25x² = 16

25x² - 16 = 16 - 16

25x² - 16 = 0

25x² + 20x - 20x - 16 = 0

(25x² + 20x) + (- 20x - 16) = 0

5x(5x + 4) - 4(5x + 4) = 0

(5x - 4)(5x + 4) = 0

5x - 4 =0

5x + 4 = 0

[tex]x=-\frac{4}{5}[/tex]

[tex]x=\frac{4}{5}[/tex]

± is a symbol which represents addition and subtraction.

Answer:

a. θ = 6t

b. 1.048 minutes

c. y = 54sin(6t)

Step-by-step explanation:

diameter d = 108 foot

distance above the ground = 58 feet

a.) expression to represent number of radians

radian = 6 rad/min

θ = wt

w = 6

θ = 6t

t is in minutes

b.) we are to find the time period for one full revolution

time period = 2π/6

π = 22/7

[tex]T=\frac{2(22/7)}{6}[/tex]

= 1.048 minutes

c. Expression showing Justins height above the ground

y = rsinθ -----(1)

θ = wt = 6t

we find the radius r

diameter = 2 * radius

108 = 2r

r = 108/2

= 54 foot

we put these values in the equation 1 above

y = 54sin(6t)

Answer:

y=[tex]\frac{1}{2}x-2[/tex]

Step-by-step explanation:

Perpendicular lines have negative reciprocal gradients(slopes) so the slope of your new line would be 1/2. Then you use the point to find the new y-intercept

y=mx+b

2=[tex]\frac{1}{2}[/tex](8)+b

2=4+b

B=-2

y=[tex]\frac{1}{2}x-2[/tex]

Answer:

friend me on here and imma send you the link Step-by-step explanation:

There's 3 terms

3a-----1

+b -----2

-4c------3

the next term of sequence is 128

Answer:

the ways customers could get in financial trouble with thier credit cards are:

The Allure of Excessive Spending Interst Makes Paying Off the Balance Difficult. There's a chance you'll end up in debt.

You run the risk of damaging your credit score.

Minimum payments can give the impression of safety.

Credit Card Terms Can Be Confusing.

It's more difficult to keep track of spending, especially 

when using multiple credit cards.

Step-by-step explanation:

-

Answer: ( − 3 , − 64 )

Step-by-step explanation:

knowledge!

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

We want the solution to ...

  [tex]\dfrac{1}{x}=\dfrac{x+3}{2x^2}\\\\2x=x+3\qquad\text{multiply by $2x^2$}\\\\\boxed{x=3}\qquad\text{subtract $x$}[/tex]

Answer:

We have to find the value of x in

[tex] \sf \: \dfrac{1}{x} = \dfrac{x + 3}{2x {}^{2} } [/tex]

On cross multiplication

2x² × 1 = x × (x + 3)

2x² = x² + 3x

2x² - x² = 3x

x² = 3x

x × x = 3 × x

x = 3

Answer:

The probability HydroPhil chooses a combination that includes the suede pants is 0.40

Step-by-step explanation:

Given

Let

[tex]P \to Platin um\ no se\ ri ng[/tex]

[tex]D \to Diamond\ shirt[/tex]

[tex]T \to Titanium\ boots[/tex]

[tex]S\to Suede\ pants[/tex]

[tex]B\to Beryllium\ hat[/tex]

Required

Probability of selecting a combination that has S

First, list out all possible combinations (A) of 2

[tex]A = \{PD, PT, PS, PB, DT, DS, DB, TS, TB, SB\}[/tex]

The sample size is:

[tex]n(A) = 10[/tex]

The combinations that has S are:

[tex]S \to \{PS, DS, TS, SB\}[/tex]

The size is:

[tex]n(S) = 4[/tex]

So, the probability that he choose the combination that has S is:

[tex]Pr = \frac{n(S)}{n(A)}[/tex]

[tex]Pr = \frac{4}{10}[/tex]

[tex]Pr = 0.40[/tex]