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3 years ago

FRAME AN EQUATION AND SOLVE

1 answer:

7 0

Here
Length = x+3
Breadth = x
We know
Perimeter of reatangle = 2(l+b)
Or 34 = 2( x+3+x)
Or 17 = 2x+3
Or 14 =2x
Or x= 7

Therefore
Length = 10 and breadth = 7 cm
Thank you
From ayanas

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The 2004 presidential election exit polls from the critical state of Ohio provided the following results. There were 2020 respon

lord [1]

Answer: a) $0.490\leq p\leq0.582$

b) $0.501\leq p$

Step-by-step explanation:

Given : Sample size of respondents in the exit polls : n= 2020

Number of respondents voted for George Bush = 412

Sample proportion: $\hat{p}=\dfrac{412}{768}\approx0.536$

a) Critical value for 99% confidence level : $z_{\alpha/2}=2.576$

Confidence interval for proportion:-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$=0.536\pm (2.576)\sqrt{\dfrac{0.536(1-0.536)}{768}}\\\\=0.536\pm0.046\\\\=(0.490,\ 0.582)$

Hence, the 99% confidence interval for the proportion of college graduates in Ohio that voted for George Bush: $0.490\leq p\leq0.582$

b) Critical value for 95% confidence level : $z_{\alpha/2}=1.96$

Lower confidence bound for the proportion :

$\hat{p}- z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.536-(1.96)\sqrt{\dfrac{0.536(1-0.536)}{768}}\\\\=0.536-0.035=0.501$

Hence, a 95% lower confidence bound for the proportion of college graduates in Ohio that voted for George Bush : $0.501\leq p$

7 0

3 years ago

Read 2 more answers

In the Mississippi River Delta, fresh water (0% salinity) mixes with salt water from the Gulf of Mexico (3 1 2% salinity). If 1,

Rina8888 [55]

Answer:

The total resulting gallons of water is 4,000 gallons

The concentration of the resulting solution is 2.625% salinity

Step-by-step explanation:

The salinity of the fresh water from the Mississippi River Delta = 0%

The salinity of the water from the Gulf of Mexico = 3 1/2%

Therefore, if 1,000 gallons of river water mixes with 3,000 gallons from the Gulf, we have;

The total resulting gallons of water = 1,000 + 3,000 = 4,000 gallons

The total resulting gallons of water = 4,000 gallons

The concentration of the resulting solution is found as follows;

The concentration of the resulting solution = (3 × 3 1/2)/400 × 100 = 2.625%

The concentration of the resulting solution = 2.625% salinity.

8 0

3 years ago

Solve the system by substitution. y = -7x + 6 y = -10x

Artist 52 [7]

Answer:

(-2, 20)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -7x + 6

y = -10x

Step 2: Solve for x

Substitution

Substitute in y: -10x = -7x + 6
Add 10x to both sides: 0 = 3x + 6
Isolate x term: -6 = 3x
Isolate x: -2 = x
Rewrite: x = -2

Step 3: Solve for y

Define equation: y = -10x
Substitute in x: y = -10(-2)
Multiply: y = 20

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3 years ago

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I need help with this

densk [106]

Add them all up and divide by how many numbers there are in the set

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4 years ago

DiKsa [7]

Answer:

no clue....

Step-by-step explanation:

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3 years ago