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stiv31 [10]
3 years ago
15

Dan has a board that is 15/16 yd. How many “Keep out” signs can he make if the length of the sign is changed to half of the orig

inal length? (Original length 5/8 yd)
Mathematics
2 answers:
Marta_Voda [28]3 years ago
7 0
It would be 3 signs because you would simply the fractions then make then into whole number and you get 3.
CaHeK987 [17]3 years ago
5 0
3 keep our signs. if dan has a board that is 15/16 yd and each is 2.5/8 (half of the original which is actually 5/16) then you can fit 3 signs
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Which of the following equations is equivalent to S=pi r^2 h
lara31 [8.8K]

The equation that is equivalent to S=pi r^2 h is h = S/pir^2

<h3>Subject of formula</h3>

This is a way of representing a variable with another. Given the equation

S=pi r^2 h

We are to make 'h" the subject of the formula.

Divide both sides by pir^2

S/pir^2 =pi r^2 h/pir^2

h = S/pir^2

Hence the equation that is equivalent to S=pi r^2 h is h = S/pir^2

Learn more on subject of formula here: brainly.com/question/657646

#SPJ1

4 0
2 years ago
Find the value of (6^0 − 7^0) × (6^0 + 7^0)
uysha [10]

Answer:

-13

Step-by-step explanation:

6-7 x 6+7

-1 x 13

-13

6 0
3 years ago
Read 2 more answers
Given: f(x) = x - 7 and h(x) = 2x + 3<br> Write the rule for f(h(x)).
sdas [7]
<h3>Answer:  f( h(x) ) = 2x - 4</h3>

Work Shown:

f(x) = x - 7

f( h(x) ) = h(x) - 7

f( h(x) ) = 2x+3 - 7

f( h(x) ) = 2x - 4

Explanation:

In the second step, I replaced every x with h(x). In the next step, I replaced the h(x) on the right hand side with 2x+3. From there I combined like terms.

8 0
3 years ago
Use the standard norml distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justif
dalvyx [7]

Answer:

E) we will use t- distribution because is un-known,n<30

the confidence interval is (0.0338,0.0392)

Step-by-step explanation:

<u>Step:-1</u>

Given sample size is n = 23<30 mortgage institutions

The mean interest rate 'x' = 0.0365

The standard deviation 'S' = 0.0046

the degree of freedom = n-1 = 23-1=22

99% of confidence intervals t_{0.01} =2.82  (from tabulated value).

The mean value = 0.0365

x±t_{0.01} \frac{S}{\sqrt{n-1} }

0.0365±2.82 \frac{0.0046}{\sqrt{23-1} }

0.0365±2.82 \frac{0.0046}{\sqrt{22} }

0.0365±2.82 \frac{0.0046}{4.690 }

using calculator

0.0365±0.00276

Confidence interval is

(0.0365-0.00276,0.0365+0.00276)

(0.0338,0.0392)

the mean value is lies between in this confidence interval

(0.0338,0.0392).

<u>Answer:-</u>

<u>using t- distribution because is unknown,n<30,and the interest rates are not normally distributed.</u>

4 0
3 years ago
Find an equation of the tangent line to the graph of the function f(x) = 2sinx at the point where x = pi/3.
BigorU [14]
The equation of the tangent line of f(x) is given by y = f'(x)x + c
f(x) = 2sin x
f'(x) = 2cos x

At x = pi/3
f'(pi/3) = 2 cos(pi/3) = 1
f(pi/3) = 2 sin(pi/3) = √3
√3 = 1(π/3) + c
c = √3 - π/3

Therefore, required equation is
y = x + √3 - π/3
3 0
3 years ago
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