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Juliette [100K]
2 years ago
8

A rectangular garden measures 25ft by 30ft . Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this pa

th. Be sure to include the correct unit in your answer.

Mathematics
1 answer:
Vaselesa [24]2 years ago
4 0
The answer is circled in yellow.

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PLEASE HELP PICTRE SHOWN
matrenka [14]
First, you add 1 to both sides. Then square both sides to get rid of the square root. After that you just solve it like a normal equation when you are left with 4x-2=9.
8 0
3 years ago
HOW MUCH LONGER IS A 6 3/16-IN. METAL PIPE THAN A 4 5/8-IN. PVC PIPE
Aloiza [94]

Answer:

1  9/16 in (or 25/16in)

Step-by-step explanation:

4 5/8 = 4 10/16

6 3/16- 4 10/16 =  1 9/16

Material of pipes is irrelevant

8 0
3 years ago
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 225 vinyl? glov
romanna [79]

Answer:

a)

H₀: ρ₁ ≤ ρ₂

H₁: ρ₁ > ρ₂

b)

Z= \frac{('p_{1} - 'p_{2}) - (p_{1} - p_{2})}{\sqrt{'p(1-'p)[\frac{1}{n_1} + \frac{1}{n_2} ]} } ≈ N(0;1)

c)

p-value < .00001

d)

Reject the null hypothesis.

The population proportion vinyl gloves that leak viruses is greater than the population proportion of latex gloves that leak viruses.

Step-by-step explanation:

Hello!

The objective is to test if the population proportion of vinyl gloves that leak viruses (population 1) is greater then the population proportion of latex gloves that leak viruses (population 2).

Sample 1 (Vinyl)

n₁= 225

Sample proportion 'ρ₁= 0.60

Sample 2 (Latex)

n₂= 225

Sample proportion 'ρ₂= 0.09

Pooled proportion: 'ρ= (x₁+x₂)/(n₁+n₂)= ( 'ρ₁ + 'ρ₂)/2= (0.60 + 0.09)/2= 0.345 ≅0.35

The hypothesis is:

H₀: ρ₁ ≤ ρ₂

H₁: ρ₁ > ρ₂

α: 0.05

The statistic to use is a pooled Z

Z= \frac{('p_{1} - 'p_{2}) - (p_{1} - p_{2})}{\sqrt{'p(1-'p)[\frac{1}{n_1} + \frac{1}{n_2} ]} } ≈ N(0;1)

The critical region is one-tailed to the right (positive), the critical value is:

Z_{1-\alpha } = Z_{0.95} = 1.64

If Z ≥ 1.64, you will reject the null hypothesis.

If Z < 1.64, you will not reject the null hypothesis.

Z= \frac{(0.6 - 0.09) - (0}{\sqrt{0.35(1-0.35)[\frac{1}{225} + \frac{1}{225} ]} } = 11.34

Since the calculated Z- value is greater than the critical value, the decision is to reject the null hypothesis. The population proportion vinyl gloves that leak viruses is greater than the population proportion of latex gloves that leak viruses.

P-value approach:

p-value < .00001

If you compare with the level of signification, you reach the same decision.

I hope it helps!

8 0
3 years ago
PLEASE HELP 45 POINTS!!!!!
Nady [450]

Answer:

  • \sf x = 5
  • \sf DF = 12

setting up proportionality equation:

\sf \dfrac{big-side}{big-diagonal}   = \sf \dfrac{small-side}{small-diagonal}

\sf \hookrightarrow \dfrac{7}{16+x+7}  = \dfrac{4}{16}

\sf \hookrightarrow  \dfrac{7}{23+x}  = \dfrac{4}{16}

\sf \hookrightarrow 4(23+x) = 112

\sf \hookrightarrow 92 + 4x = 112

\sf \hookrightarrow 4x = 112- 92

\sf \hookrightarrow 4x = 20

\sf \hookrightarrow x = 5

<u>Find DF:</u>

\hookrightarrow \sf x + 7

\hookrightarrow \sf  5 + 7

\hookrightarrow \sf 12

4 0
2 years ago
Read 2 more answers
Which table does NOT show y as a function of x
Pavlova-9 [17]

Answer:

h

Step-by-step explanation:

x can not repeat itself

4 0
3 years ago
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