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2 years ago

7

54 is 90% of what number?

1 answer:

Zarrin [17]2 years ago

7 0

The answer is 60 surprisingly

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A rectangle is 3 feet longer than it is wide . if the perimeter is 30 feet , find the area in square feet .

noname [10]

Answer:

Hey

Step-by-step explanation:

I beleve you answer is 10 because 3 time 10 equals 30 and the question sais "3 times longer"

5 0

3 years ago

Determine which equations have the same solution set as 2/3 -x +1/6 = 6x by recognizing properties, rather than solving. Check a

bonufazy [111]

Answer:

The answer is "0.1190".

Step-by-step explanation:

Given:

$\to \frac{2}{3} -x +\frac{1}{6} = 6x\\\\\to \frac{2}{3} +\frac{1}{6} = 6x+x\\\\\to \frac{4+1}{6} = 7x\\\\\to \frac{5}{6} = 7x\\\\\to x=\frac{5}{6\times 7} \\\\\to x=\frac{5}{42}\\ \\\to x= 0.1190$

5 0

3 years ago

What is the perimeter of a rectangle is 154 feet. the length of the rectangle is 55 feet. what is the width of the rectangle? th

velikii [3]

Perimeter= (2 x Length) + (2 x width)
Do to find width:
Width= perimeter - (2 x length)
So now substitute in an equation
W= 154 - (55 x 2)
W= 154-110= 44
Remember 44 would equal the width when it is multiplied by 2. Now you have to divide by 2 to get the original.

Answer is 22

5 0

3 years ago

Exponential growth can anyone give the answers to me? I’m completely lost!

PilotLPTM [1.2K]

Answer:

Q1

<u>The exponential growth model for frogs:</u>

F(x) = 100(1.22)ˣ,

F- number of frogs, x- number of years, 1.22 - growth factor

<u>Calculations</u>:

F(5) = 100(1.22)⁵ = 270
a) F(10) = 100(1.22)¹⁰ = 730
b) F(20) = 100(1.22)²⁰ = 5335

<em>All numbers rounded </em>

Q2

<u>The exponential growth model for bacteria:</u>

B(x) = 10(1.8)ˣ

B- number of bacteria, x- number of hours, 1.8 - growth factor

<u>Calculations:</u>

a) B(5) = 10(1.8)⁵ = 189
b) B(24) = 10(1.8)²⁴ = 13382588
c) B(168) = 10(1.8)¹⁶⁸ = 7.68 * 10⁴³

<em>All numbers rounded </em>

Q3.

<u>The exponential growth model for fish:</u>

F(x) = 821(1.02)ˣ,

F- number of fish, x- number of months, 1.02 - growth factor

<u>Calculations:</u>

a) F(12) = 821(1.02)¹² = 1041
b) F(120) = 821(1.02)¹²⁰ = 8838

<em>All numbers rounded </em>

3 0

2 years ago

Read 2 more answers

In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax

Nikolay [14]

Answer:

a

The null hypothesis is $H_o : p = 0.75$

The alternative hypothesis is $H_a : p \ne 0.75$

b

$t = 2.51$

c

$p-value = 0.01207$

d

There no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

Step-by-step explanation:

From the question we are told that

The sample size is $n = 745$

The number that said it is morally wrong is $k = 589$

The level of significance is $\alpha = 0.01$

The population proportion is $p = 0.75$

Generally the sample proportion is mathematically represented as

$\r p = \frac{k}{n}$

=> $\r p = \frac{589}{745}$

=> $\r p = 0.79$

The null hypothesis is $H_o : p = 0.75$

The alternative hypothesis is $H_a : p \ne 0.75$

The standard error is mathematically represented as

$SE = \sqrt{\frac{p(1-p)}{n} }$

=> $SE = \sqrt{\frac{0.75(1-0.75)}{745} }$

=> $SE =0.0159$

Generally the test statistics is mathematically represented as

$t = \frac{\r p - p }{SE}$

=> $t = \frac{0.79 - 0.75 }{0.0159}$

=> $t = 2.51$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z > 2.51)$

From the the z-table

$P(Z > 2.51) = 0.0060366$

=> $p-value = 2 * 0.0060366$

=> $p-value = 0.01207$

From the calculation $p-value >\alpha$

Hence we fail to reject the null hypothesis

Thus there no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

7 0

3 years ago