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3 years ago

Can some one plz help I'm comfuzzled

Mathematics

1 answer:

scZoUnD [109]3 years ago

5 0

14+ 13y - 13y = 20y - 13y -21 (taking away the smallest y value from both sides)

14 = 7y - 21

14 + 21 = 7y - 21 +21 (+21 on both sides to remove -21 if we do -14 then we will have nothing on other side)

35 = 7y

35/7 = 7y/7 (dividing 7 on both sides)

5 = y

answer is 100% correct no doubts. hope it helped you.

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Question 3: Marla bought one necklace and two bracelets for $67.50. Use the following information to determine the amount she pa

Lera25 [3.4K]

Each bracelet was approximately 20.25

Here is my work:

67.50 - 27 = 40.5

40.5 divided by 2 = 20.25

Hope this helps!

6 0

3 years ago

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A survey of 100 similar-sized hospitals revealed a mean daily census in the pediatrics service of 27 with a standard deviation o

Vinil7 [7]

Answer:

We conclude that the mean is greater than 25.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 25

Sample mean, $\bar{x}$ = 27

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 6.5

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 25\\H_A: \mu> 25$

We use One-tailed(right) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{27 - 25}{\frac{6.5}{\sqrt{100}} } = 3.07$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.645$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis.

Thus, the mean is greater than 25.

3 0

3 years ago

Find the 6th term of a geometric sequence t3 = 444 and t7 = 7104. So I have to find r. But is this right: 7104 = 444r^4 r^4 = 16

galben [10]

Third term = t3 = ar^2 = 444 eq. (1)

Seventh term = t7 = ar^6 = 7104 eq. (2)

By solving (1) and (2) we get,

ar^2 = 444

=> a = 444 / r^2 eq. (3)

And ar^6 = 7104

(444/r^2)r^6 = 7104

444 r^4 = 7104

r^4 = 7104/444

= 16

r2 = 4

r = 2

Substitute r value in (3)

a = 444 / r^2

= 444 / 2^2

= 444 / 4

= 111

Therefore a = 111 and r = 2

Therefore t6 = ar^5

= 111(2)^5

= 111(32)

= 3552.

<span>Therefore the 6th term in the geometric series is 3552.</span>

8 0

3 years ago

Which expressions are equivalent to -6z+ (-5.5) +3.5z + 5y - 2.5?

Molodets [167]

Answer:

what the heck its too much to me

Step-by-step explanation:

3 0

3 years ago

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How is the process of finding the surface area of a rectangular prism the same as finding the surface area of a triangular prism

harina [27]

Answer:

see the explanation

Step-by-step explanation:

we know that

The surface area of a prism is given by the formula

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

For both prism the formula is the same

How is it different?

Rectangular prism

The area of the base is given by the formula

$A=LW$ -----> is the area of rectangle

where

L is the length and W is the width of rectangle

The perimeter of the base is given by

$P=2(L+W)$ ---> is the perimeter of rectangle

The height H is the same in both cases

Triangular prism

The area of the base is given by the formula

$A=\frac{1}{2} (b)(h)$ -----> is the area of the triangular base

where

b is the base of triangle and h is the height of triangle

The perimeter of the base is given by

$P=(a+b+c)$ ---> is the perimeter of triangle

where

a, b and c are the length sides of triangle

The height H is the same in both cases

3 0

3 years ago

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