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2 years ago

Which of the following uses estimation to check 267 – 154 = 113?

1 answer:

5 0

Estimation is taking the general values of an equation to find an answer that is close to the actual answer.

Round the numbers in the equation to their tens places by checking their ones value:

267
7 > 5
267 -> 270

154
4 < 5
154 -> 150

Subtract these two rounded values:

$270 - 150 = 120$

The answer that has this equation is D.

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You and a friend have a hula hoop competition. you win 3 out of every 7 trials. your friend wins 5 more trials than you. how man

Ivenika [448]

Answer:

Total number of trials is 35.

Step-by-step explanation:

Given : Me and my friend have a hula hoop competition. I win 3 out of every 7 trials. My friend wins 5 more trials than me.

To find : How many trials are in the competition?

Solution :

Probability of my winning is 3 out of 7 trials $=\frac{3}{7}$

and probability of my friend's winning is $=1-\frac{3}{7}=\frac{4}{7}$

Let there be n numbers of trials.

Therefore, my score after n trials $=\frac{3n}{7}$

and my friend's score after n trials $=\frac{4n}{7}$

Now, the number of trials my friend won more than me is

$\frac{4n}{7}-\frac{3n}{7}=\frac{n}{7}$

We know, that my friend won 5 more trials than me so comparing the actual and given we get,

$\frac{n}{7}=5\\n=7\times5=35$

Therefore, total number of trials is 35.

We can also verify our answer by placing value of n,

After 35 trials I will win $\frac{3\times 35}{7}=15$ trials

and my friend will win $\frac{4\times 35}{7}=20$ trials.

Hence, my friend won 5 more trials than me.

3 0

2 years ago

F is between e and g, EF=7 and FG=6. find EG

irina [24]

------- (EF)
------ (FG)
------ + ------- =
6 + 7 =
13

7 0

2 years ago

What is the volume of a 90' x 20' x 12' house?

mafiozo [28]

21,600 v^3 been a while so not sure wether you need the sq symbol afterword let me know

5 0

2 years ago

Read 2 more answers

Given f(x) = 4x4 + 5x3 – 15x2 – 45, find f(–3).

poizon [28]

Answer:

f(–3) = 9

Step-by-step explanation:

Given f(x) = 4x^4 + 5x^3 – 15x^2 – 45

f(-3) means let x = -3

f(-3) = 4(-3)^4 +5(-3)^3 – 15(-3)^2 – 45

=4(81) +5(-27) -15(9) -45

= 324 - 135 - 135 -45

6 0

2 years ago

Read 2 more answers

Choose the function whose graph is given by:

katen-ka-za [31]

Answer:

D. $y=\tan (x-\pi)+2$

Step-by-step explanation:

We are given the graph of the transformed tangent function.

As, we can see that the graph is shifted 2 units upwards.

That is, the parent function is translated 2 units up.

So, the new function will be of the form, $y=\tan (x)+2$ .

Thus, options A and C are not correct.

Moreover, 'If a function f(x) has period P, then the function cf(bx) will have period $\frac{P}{|b|}$ .

Also, form the figure, we see that the period of the graphed function is $\pi$ .

Since, $y=\tan (x)$ have period $\pi$ .

So, function in option B will have period $\frac{\pi}{2}$ , which is not possible.

<em>Further, function in option D have period $\pi$ .</em>

Thus, the equation of the graphed function is, $y=\tan (x-\pi)+2$ .

7 0

2 years ago

Read 2 more answers