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egoroff_w [7]
3 years ago
11

What’s the percent of change of 100 acres to 140 acres

Mathematics
1 answer:
natta225 [31]3 years ago
4 0
It is a 40% increase.
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Find the number of possible outcomes in the sample space.
nikitadnepr [17]
I believe it’s A.

good luck!!
8 0
3 years ago
Jase and Gabby both take a road trip. Jase drove 35 more miles that Gabby did. All together,
aliina [53]

Answer:

Gabby= 172.5 Jase= 137.5

Step-by-step explanation:

310-35= 275

275/2= 137.5 = Jase add 35 for Gabby

137.5+35=172.5

4 0
3 years ago
A square has an area of 144 inches squared. What is the length, to the nearest inch, of the diagonal ​
erastova [34]

Answer:

each side is 36

Step-by-step explanation:

144÷4=36

7 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
What is the area of a trapezoid ABCD with bases AB and CD ,
Mrrafil [7]

check the picture below on the top side.


we know that x = 4 = b, therefore,  using the 30-60-90 rule, h = 4√3, and DC = 4+8+4 = 16.


\bf \textit{area of a trapezoid}\\\\&#10;A=\cfrac{h(a+b)}{2}~~&#10;\begin{cases}&#10;a,b=\stackrel{bases}{parallel~sides}\\&#10;h=height\\[-0.5em]&#10;\hrulefill\\&#10;a=8\\&#10;b=\stackrel{DC}{16}\\&#10;h=4\sqrt{3}&#10;\end{cases}\implies A=\cfrac{4\sqrt{3}(8+16)}{2}&#10;\\\\\\&#10;A=2\sqrt{3}(24)\implies \boxed{A=48\sqrt{3}}


now, check the picture below on the bottom side.


since we know x = 9, then b = 9, therefore DC = 9+6+9 = 24, and h = b = 9.


\bf \textit{area of a trapezoid}\\\\&#10;A=\cfrac{h(a+b)}{2}~~&#10;\begin{cases}&#10;a,b=\stackrel{bases}{parallel~sides}\\&#10;h=height\\[-0.5em]&#10;\hrulefill\\&#10;a=6\\&#10;b=\stackrel{DC}{24}\\&#10;h=9&#10;\end{cases}\implies A=\cfrac{9(6+24)}{2}&#10;\\\\\\&#10;A=\cfrac{9(30)}{2}\implies \boxed{A=135}

7 0
3 years ago
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