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Bess [88]
2 years ago
8

Matthew's family traveled 3/8 of the distance to his grandmother’s house on Saturday. They traveled 3/5 of the remaining distanc

e on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?
Mathematics
1 answer:
guapka [62]2 years ago
8 0

Answer:

3/8 of the total distance.

Step-by-step explanation:

After Saturday = 8/8 - 3/8 = 5/8 of distance left.

Sunday = 5/8 x 3/5 = 3/8 distance.

Hope this helps!

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PLEASE HELP<br><br> FIND THE LENGTH OF RS.
Gwar [14]

Answer:

A

Step-by-step explanation:

Distance between 2 points

=  \sqrt{(x1 - x2)^{2}  + (y1 - y2)^{2} }

☆ (x₁, y₁) is the first coordinate while (x₂, y₂) I'd the second coordinate.

Length of RS

=  \sqrt{ {[ - 1 -( - 4)] }^{2}  + (9 - 1)^{2} }  \\  =  \sqrt{( - 1 + 4)^{2}  + 8^{2} }  \\  =  \sqrt{ {3}^{2}  + 64 }  \\  =  \sqrt{73}  \\ = 8.54 \: (3 \: s.f.)

Thus, RS is about 8.5 units.

8 0
3 years ago
Read 2 more answers
In a sample of eight whitefish caught in Yellowknife Bay, the mean arsenic concentration in the liver was 0.32 mg/kg, with a sta
Advocard [28]

Answer:

The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 8 - 1 = 7

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.3246

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.3646\frac{0.06}{\sqrt{8}} = 0.0502

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.32 - 0.0502 = 0.2698 mg/kg

The upper end of the interval is the sample mean added to M. So it is 0.32 + 0.0502 = 0.3702 mg/kg

The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).

8 0
2 years ago
A man borrowed $8000. He paid $10100 after 9 months for the debt. What was the interest rate per annum?
Anastaziya [24]

Answer:

3.5%

Step-by-step explanation:

Interest = 10100 - 8000 or 2100

I = Prt

2100 = 8000(9/12)r

2100 = 600r

2100/600 = r

3.5 = r

4 0
2 years ago
Yx*2; use x=7,And y=2
Mars2501 [29]

Answer:

14*2

Step-by-step explanation:

x=7 and Y=2

2×7*2

14*2

7 0
3 years ago
Can someone help with this and explain answer please.
photoshop1234 [79]

Because the triangles are similar the ratio of all the sides would be the same. So you need to find the ratio of the common sides and then use that ratio to find the unkown side.

In this picture sides FG = 52, FV would be the same side and is 24.

Dividing 24/52 = 0.461, so the unkown side WV would be 0.444 of it's common side HG.

HG = 39

39 * 0.461= 18.

The answer is C. 18

3 0
3 years ago
Read 2 more answers
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