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2 years ago

If x represents the first, or smallest, of three consecutive odd integers, express the sum of the three integers in terms of x.

Mathematics

1 answer:

uysha [10]2 years ago

8 0

Answer:

the numbers are:(x),(x+2),(x+4)

then the sum is 3X+6

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ID: A

snow_tiger [21]

Answer:

13.63 miles per hour

Step-by-step explanation:

100 yards / 15 sec converted to miles per hour

100 yards x 60 sec x 60 min x 1 mile = 13.63 miles/hr

15 sec 1 min 1 hr 1760 yards

the mistake on Mrs Dukes is the conversion from miles to yards.

1 mile = 1760 yards NOT 5280 yards

7 0

2 years ago

Calculate: 1/1x3+1/3x5+…+1/47x49

shtirl [24]

Answer:

24/49

Step-by-step explanation:

3 0

2 years ago

What sample size should be used if we would like to estimate the mean age of the college students at a particular campus with 95

nevsk [136]

Answer: 12

Step-by-step explanation:

The formula to find the sample size is given by:-

$n=(\dfrac{z_c\cdot \sigma}{E})^2$ , where $\sigma$ is the population standard deviation, $z_c$ is the z-value for the $(1-\alpha)$ confidence interval and E is the margin of error .

As per given , we have

Population standard deviation : $\sigma=5.1$

z-value for 95% confidence interval : $z_c=1.960$

Margin of error : E= 3

Then, the required minimum sample :-

$n=(\dfrac{(1.96)\cdot (5.1)}{3})^2\\\\\Rightarrow\ n=(3.332)^2=11.102224\approx12$

Hence, the required minimum sample size = 12

3 0

2 years ago

Find the greatest value of -10+14X-2X^2 and state the value of X at which it occurs

Eddi Din [679]

Answer:

Step-by-step explanation:

a maximum or minimum occurs where the derivative equals zero

f(x) = -2x² + 14x - 10

f'(x) = -4x + 14

0 = -4x + 14

4x = 14

x = 3.5

f(3.5) = -2(3.5)² + 14(3.5) - 10 = 14.5

3 0

2 years ago

Suppose that y varies directly with x and inversely with z and y = 28 when x = 32 and z = 8. write the quation that models the r

WITCHER [35]

Given that y varies directly with x and inversely with z, then:
a] Equation that models the relationship
y=kx/z
where k is the constant of proportionality, given by:
k=yz/x
k=(28×8)/32
k=7
The equation that models the relationship is:
y=7x/z

b]
find y when x = 12 and z = 3
The value of y will be given:
y=(7×12)/3
y=28

6 0

3 years ago