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boyakko [2]
3 years ago
15

Write the decimal represented by each point.

Mathematics
2 answers:
GuDViN [60]3 years ago
6 0
Point A: 0.8
Point B: 0.3
Point C: 0.5
Point D: 0.2
victus00 [196]3 years ago
5 0

Answer:

A) ,8

B) .3

C) .5

D) .2

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A yardstick casts a shadow of 24 in. at the same time a telephone pole casts a shadow of 20 ft 8 in. What is the height of the t
BabaBlast [244]
1 yd = 36 in;  20 ft 8 in = 248 in;
We will use a proportion:
36  : 24 = x : 248
24 x = 36 * 248
24 x = 8,928
x = 8,928 : 24 = 372
Answer:  C ) 372 in
5 0
3 years ago
Boatesville is 65 3/5 kilometers from Stanton. A bus traveling from Stanton is 24 1/3 kilometers from Boatesville. Write an equa
Elena L [17]
Distance the bus has traveled :

65 \dfrac{3}{5}  -  24\dfrac{1}{3}

= 65 \dfrac{3 \times 3 }{5 \times 3}  -  24\dfrac{1 \times 5}{3 \times 5}

= 65 \dfrac{9 }{15}  -  24\dfrac{5}{15}

= 41 \dfrac{4 }{15}  \text { km}

--------------------------------------------------------------------------------------------------
\text {Answer : The bus has traveled }41 \frac{4}{5} \text { km}
--------------------------------------------------------------------------------------------------
8 0
3 years ago
The sodium content of a popular sports drink is listed as 200 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sample me
julia-pushkina [17]

Answer:

The sample does not contradicts the manufacturer's claim.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 200 mg

Sample mean, \bar{x} = 211.5 mg

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 18.5 mg

a) First, we design the null and the alternate hypothesis  for a two tailed test

H_{0}: \mu = 200\\H_A: \mu \neq 200

We use Two-tailed t test to perform this hypothesis.

b) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} } Putting all the values, we have

t_{stat} = \displaystyle\frac{211.5 - 200}{\frac{18.5}{\sqrt{20}} } = 2.7799

c) Now,

t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = \pm 2.0930

Since, the calculated t-statistic does not lie in the range of the acceptance region(-2.0930,2.0930), we reject the null hypothesis.

Thus, the sample does not contradicts the manufacturer's claim.

d) P-value = 0.011934

Since the p-value is less than the significance level, we reject the null hypothesis and accept the alternate hypothesis.

Yes, both approach the critical value and the p-value approach gave the same results.

4 0
3 years ago
Zander read 13 3/4pages in 1/4 of an hour. Sydney read 43 1/3 pages in 2/3 of an hour. At these rates, would Zander or Sydney re
kakasveta [241]

Answer:

At these rates Sydney read 10 pages per hour more than Zander.

Step-by-step explanation:

Zander read 13\frac{3}{4} pages in \frac{1}{4} of an hour.

Therefore, pages read by Zander in 1 hour = \frac{\text{Total pages read}}{\text{Total time taken}}

= \frac{13\frac{3}{4}}{\frac{1}{4}}

= \frac{55}{4}\times \frac{4}{1}

= 55 pages per hour

Sydney read 43\frac{1}{3} pages in \frac{2}{3} of an hours.

Pages read by Sydney in 1 hour = \frac{43\frac{1}{3}}{\frac{2}{3} }

= \frac{130}{3}\times \frac{3}{2}

= 65 pages per hour

Therefore, number of pages read more by Sydney as compared to Zander,

= 65 - 55

= 10 pages per hour

At these rates Sydney read 10 pages per hour more than Zander.

4 0
3 years ago
In Exercises 6 and 7, use the given measure to find the missing value in each data set. 6. The mean of the ages of 5 brothers is
strojnjashka [21]

Solution

Problem 6

For this case we can do this:

12, 16,__, 14, 8, 7

We can solve for x like this:

\frac{12+16+x+14+8+7}{6}=13x=13\cdot6-(12+16+14+8+7)=21

Problem 7

F

7 0
1 year ago
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