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olga55 [171]
3 years ago
14

Display the set of data in a histogram.

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
4 0

Answer:

The answer to your question is the third histogram

Step-by-step explanation:

What we must check in a histogram is that the x-axis is represented the intervals and in the y-axis is represented the frequency.

The first histogram is incorrect just by observing the first bar, we notice that the correct frequency from 0 to 4 is 3, not 14. This histogram is incorrect.

Also, the second histogram is incorrect, the frequency of the first category is 3, not 12. This histogram is wrong.

The third histogram is correct because all the bars are in agreement with their frequencies.

The last histogram is incorrect, for example, the last frequency is 12, not 3.

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Determine the scale la<br> C<br> 10 in<br> 5 in<br> O A. 10<br> O B. 2<br> O c.<br> NI<br> O D. 5
Jobisdone [24]

Answer:

B.2

Step-by-step explanation:

To make ΔA'B'C' from ΔABC, we need to use t

he scale factor =|A'B'|/|AB|=10/5=2

3 0
3 years ago
Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour
cricket20 [7]
S=d/t     ⇒d=s*t
s=speed
d=distance
t=time

The first train :
d=x

x=70 miles/h*t                             ⇒   x=70t  (1)

The second train
d=360 miles - x

360 miles - x=80 miles/h*t          ⇒360-x=80t   ⇒ x=360-80t   (2)

therefore, with the equations (1) and (2) we have a systeme of equations:

x=70t
x=360-80t

we can solve this system of equations by equalization method.

70t=360-80t
70t+80t=360
150t=360
t=360/150=2.4     (≈2 hour  24 minutes)

Answer:  the first train meet with the second train in 2 hour 24 minutes. 


3 0
3 years ago
Read 2 more answers
Estimate √97.5 / 1.96
evablogger [386]

Answer: 5


Step-by-step explanation:

 1. You have the following expression given in the problem above:

\frac{\sqrt{97.5}}{1.96}

2. You can estimate the result by rounding the numerator and the denominator.

3. As you can see, you can round up 97.5 to 100.

4. Then, you can round up 1.96 to 2.

5. Therefore, you have:

\frac{\sqrt{100}}{2}

\frac{10}{2}=5

6. Therefore, the result is 5.

3 0
3 years ago
I’m stuck on this question please help
Komok [63]
Take the price of pears (£1.30 per kilogram) and multiply it by the amount of pears (7kg). You get 9.1 so now you take the total amount spent (£12.70) and subtract the 9.1 and you get 3.6 now that is the amount you spent on the apples. So take 3.6 and divide it by the amount of apples you got (2kg) you will get 1.8 and that is your overall answer.
5 0
3 years ago
Find the quotient of these Complex Numbers. <br><br><br> (5-i) / (3+2i)
JulsSmile [24]

Let the given complex number

z = x + ix = \dfrac{5-i}{3+2i}

We have to find the standard form of complex number.

Solution:

∴ x + iy = \dfrac{5-i}{3+2i}

Rationalising numerator part of complex number, we get

x + iy = \dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}

⇒ x + iy = \dfrac{(5-i)(3-2i)}{3^2-(2i)^2}

Using the algebraic identity:

(a + b)(a - b) = a^{2} - b^{2}

⇒ x + iy = \dfrac{15-10i-3i+2i^2}{9-4i^2}

⇒ x + iy = \dfrac{15-13i+2(-1)}{9-4(-1)} [ ∵ i^{2} =-1]

⇒ x + iy = \dfrac{15-2-13i}{9+4}

⇒ x + iy = \dfrac{13-13i}{13}

⇒ x + iy = \dfrac{13(1-i)}{13}

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

5 0
3 years ago
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