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IgorLugansk [536]

3 years ago

9

Josephine noticed that out of 10 e-mails she received, 7 were advertisements. What can she predict about the number of advertise

ments she will receive in the next 100 e-mails?

2 answers:

mojhsa [17]3 years ago

8 0

It would be 70 ads !

andriy [413]3 years ago

4 0

She can expect 70 to be ads since there is 10 times more emails so 7 times 10 is 70 so 70 ads

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A sporting goods store offers 40% discount on all golf clubs. Rocco spent 20% of the money in his savings account on a golf putt

MatroZZZ [7]

Answer:

Rocco doesn't have enough money to buy the golf irons

Step-by-step explanation:

step 1

Find the rest of the money left in the savings account

using proportion

$\frac{\$48}{20\%}=\frac{x}{80\%}\\ \\x=48*80/20\\ \\x=\$192$

step 2

we know that

The set of golf irons has an original price of $359

Applying 40% discount

100%-40%=60%=60/100=0.60

after the discount the price will be

$0.60(\$359)=\$215.4$

$\$215.4> \$192$

therefore

Rocco doesn't have enough money to buy the golf irons

7 0

3 years ago

One angle of a parallelogram measures 110°. What are the measures of the other three angles in the parallelogram?

Art [367]

Answer:

70, 110, 70

Step-by-step explanation:

The measures of the adjacent angles of a parallelogram always add up to be 180 degrees (they are supplementary).

4 0

3 years ago

Help math homework both questions

-Dominant- [34]

Answer:

Q-12 The vertical length of the top part of elevator to ground is 0.8484 meters .

Q -14 The glide runway path is 24,752.47 feet .

Step-by-step explanation:

Q - 12

Given as :

The diagonal length of the elevator = e = 1.2 meters

The vertical length of the top part of elevator to ground = x meters

The angle made by elevator with ground = Ф = 45°

<u>Now, According to figure</u>

Sin angle = $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$

Or, Sin Ф = $\dfrac{\textrm x}{\textrm e}$

Or, Sin 45° = $\dfrac{\textrm x meters}{\textrm 1.2 meters}$

Or, 0.707 × 1.2 meters = x

∴ x = 0.8484 meters

So, The vertical length of the top part of elevator to ground = x = 0.8484 meters

Hence,The vertical length of the top part of elevator to ground is 0.8484 meters . Answer

Q-14

Given as:

The altitude of decent of plane = H = 10,000 feet

The angle of descend = Ф = 22°

Let the glide runway path = y feet

<u>Now, According to question</u>

Tan angle = $\dfrac{\textrm perpendicular}{\textrm base}$

Or, Tan Ф = $\dfrac{\textrm H}{\textrm y}$

Or, Tan 22° = $\dfrac{\textrm 10,000 feet}{\textrm y feet}$

Or, 0.4040 = $\dfrac{\textrm 10,000 feet}{\textrm y feet}$

Or, y = $\dfrac{\textrm 10,000 feet}{\textrm 0.4040}$

∴ y = 24,752.47

So,The glide runway path = y = 24,752.47 feet

Hence, The glide runway path is 24,752.47 feet . Answer

6 0

3 years ago

Find the radius of convergence, r, of the series. ∞ xn 2n − 1 n = 1 r = 1 find the interval, i, of convergence of the series. (e

Bingel [31]

Assuming the series is

$\displaystyle\sum_{n\ge1}\frac{x^n}{2n-1}$

The series will converge if

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|$

We have

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|=|x|\lim_{n\to\infty}\frac{\frac1{2n+1}}{\frac1{2n-1}}=|x|-\lim_{n\to\infty}\frac{2n-1}{2n+1}=|x|$

So the series will certainly converge if $-1$ , but we also need to check the endpoints of the interval.

If $x=1$ , then the series is a scaled harmonic series, which we know diverges.

On the other hand, if $x=-1$ , by the alternating series test we can show that the series converges, since

$\left|\dfrac{(-1)^n}{2n-1}\right|=\dfrac1{2n-1}\to0$

and is strictly decreasing.

So, the interval of convergence for the series is $-1\le x$ .

6 0

3 years ago

Find the measure of unknown angle

Bumek [7]

Answer:

The angle in the upper right quadrilateral corner = 68 degrees because vertical angles are equal.

Angle Y = 68 (opposite quadrilateral angles are equal).

All quadrilateral angles add to 360 so:

68 + 68 + x + z = 360 = 292

angle X + Z = 292

Therefore angle x = angle z = 146

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers