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3 years ago

$4.30 for make up; 40% dicount; 6% tax

Mathematics

1 answer:

Wittaler [7]3 years ago

6 0

$4.30X40%=1.72
4.30-1.72=2.58
2.58X6%=.15
2.58+.15=2.73
Final price: $2.73

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How Important Is Regular Exercise? In a recent poll1 of 1000 American adults, the number saying that exercise is an important pa

Elza [17]

Answer:

Step-by-step explanation:

Given that in a recent poll 1 of 1000 American adults, the number saying that exercise is an important part of daily life was 753.

Sample proportion = $\frac{753}{1000} =0.753$

To find 90% confidence interval we must find std error of proportion first

As per central limit theorem, sample proportion will follow a normal distribution with mean = 0.753

Std error of proportion= $\sqrt{0.753*0.247/1000} \\=0.01363$

90% Z critical value = 1.645

Margin of error = 1.645*0.01363 = 0.0224

Confidence interval lower bound = 0.753-0.0224=0.731

Upper bound = 0.775

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4 years ago

In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th

marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

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

Where:

$\hat{p}$ is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

$z_{\alpha /2}$ is the critical value needed to find the tails of distribution related to the confidence level,

$n$ is the sample's size.

First we compute the $\hat{p}$ value:

$\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625$

Next we find the z-score at any z-distribution table or app (in this case i've used StatKey):

$z_{\alpha /2}=2.576$

Now we can replace in the formula with the obtained values to compute the confidence interval:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)$

5 0

3 years ago

NEED HELP ASAP Find the value of x. Round to the nearest tenths place.

Oliga [24]

Answer:

x = 77.8 ft

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Trigonometry

sin∅ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

∅ = 40°

opposite leg of angle = 50 ft

hypotenuse = x ft

Step 2: Solve for x

Substitute: sin40° = 50/x
Multiply x on both sides: xsin40° = 50
Divide sin40° on both sides: x = 50/sin40°
Evaluate: x = 77.7862
Round: x = 77.8 ft

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3 years ago

I need help with my homework can anyone help ?

attashe74 [19]

I can help with part b

6 0

3 years ago

Two number cubes are rolled.

hichkok12 [17]

Answer:

When two number cubes are rolled,

Sample space= Total Possible outcome {11,22,33,44,55,66,12,21,13,31,14,41,15,51,16,61,23,32,24,42,25,52,26,62,34,43,35,53,36,63,45,54,46,64,56,65}=36

Probability of an event = \frac{\text{Total favorable outcome}}{\text{Total possible outcome}}

Sum of 4 is obtained when ={13,31,22}=3

Probability of getting 4 when 2 number cubes are rolled= \frac{3}{36}=\frac{1}{12}

Sum of the numbers is greater than 9= 10, 11,12={55,64,46,56,65,66}=6

Probability of getting(Sum of the numbers is greater than 9)=\frac{6}{36}=\frac{1}{6}

6 0

3 years ago

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