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rjkz [21]
3 years ago
6

Point C on line segment BD. Given BD = 5x, BC = 4x, and CD = 4,

Mathematics
1 answer:
Llana [10]3 years ago
4 0

Answer:

The numerical length of BD is 20 units

Step-by-step explanation:

Let us solve the question

∵ Point C lies on the line segment BD

→ That means C divides BD into 2 parts

∴ C divides BD into 2 parts BC and CD

∴ BD = BC + CD

∵ BD = 5x

∵ BC = 4x

∵ CD = 4

→ Substitute them in the equation above

∴ 5x = 4x + 4

→ Subtract 4x from both sides

∵ 5x - 4x = 4x - 4x + 4

∴ x = 4

→ Substitute the value of x in the expression of BD

∵ BD = 5x

∵ x = 4

∴ BD = 5(4) = 20

∴ The numerical length of BD is 20 units

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A statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups
HACTEHA [7]

Answer:  b. 8.56 to 21.44

Step-by-step explanation:

Let  \mu be the  mean number of pushups that can be done.

As per given , we have

Sample size : n= 10

Degree of freedom = n-1=9

Sample mean : \overline{x}=15

Sample standard deviation : s=9

Significance level : α=1-0.95=0.05

From t- distribution table ,

Critical two -tailed t-value for α=0.05 and df = 9 is

t_{\alpha/2, 9}=t_{0.025,9}=2.2622

Confidence interval for \mu is given by :-

\overline{x}\pm t*\dfrac{s}{\sqrt{n}}

=15\pm (2.2622)\dfrac{9}{\sqrt{10}}\\\\\approx 15\pm 6.44=(15-6.44,\ 15+6.44)\\\\=(8.56,\ 21.44)

Hence, the  95% confidence interval for the true mean number of pushups that can be done is 8.56 to 21.44.

5 0
3 years ago
A hamster wheel has a diameter of 8.5 in. How many inches does the hamster run in one revolution? Use 3.14 to approximate for π
Ahat [919]

As hamster wheel is circular so for revolution we will find the circumference.

Diameter of the Hamster wheel = 8.5 in

One revolution of the wheel = circumference of the wheel

Circumference = π × d

π = 3.14 and d = 8.5

So, Circumference = 3.14 × 8.5

Circumference = 26.69 in

So in one revolution the hamster wheel travels a distance of 26.69 in

7 0
4 years ago
Read 2 more answers
Round 68,413 to the nearest thousand
meriva
8 is in the thousands place.

Look to the number in the hundreds (right next to it). It is a 4. Because 4 is less than 5, round down.

68413 rounded down in the thousands place becomes 68000

68000 is your answer


hope this helps
5 0
3 years ago
I really need someone to answer this, QUICK!
Elodia [21]

Answer:

A. LCM=72   B. GCF=7    C. 7(5+9)

Step-by-step explanation:

A. 8/2=4/2=2  9/3=3   Use the denominators to find the LCM. In this case, the LCM is 72.

B.  35/5=7   63/3=21/3=7    The GCF for these numbers is 7 because it is the only factor that they have in common.

C.   7 x 14=88     Since 5 and 9 don't have common factors, they work perfectly for this problem.

6 0
3 years ago
Paul's mom gave him $25.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought
Aleks04 [339]

Answer:

C. $12.60

Step-by-step explanation:

he has $25.00 for the whole week

monday through thursday, or four days, he buys school lunch for $1.50

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on friday, he buys 4 slices of pizza for $1.60 per slice

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Expenses together:

6.4 + 6 = 12.4

Find what he has left:

25-12.4 = 12.6

C. $12.60

6 0
3 years ago
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