Find the answer to 4.2 • 1.6
.
Please helppp

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer:

There is enough evidence to support the claim that there is a significant difference in the proportion of residents and commuters who prefer the switch.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that there is a significant difference in the proportion of residents and commuters who prefer the switch.

Then, the null and alternative hypothesis are:

\(H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0\)

The significance level is 0.05.

The sample 1 (residents), of size n1=200 has a proportion of p1=0.4.

\(p_1=X_1/n_1=80/200=0.4\)

The sample 2 (conmuters), of size n2=200 has a proportion of p2=0.6.

\(p_2=X_2/n_2=120/200=0.6\)

The difference between proportions is (p1-p2)=-0.2.

\(p_d=p_1-p_2=0.4-0.6=-0.2\)

The pooled proportion, needed to calculate the standard error, is:

\(p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{80+120}{200+200}=\dfrac{200}{400}=0.5\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.5*0.5}{200}+\dfrac{0.5*0.5}{200}}\\\\\\s_{p1-p2}=\sqrt{0.0013+0.0013}=\sqrt{0.0025}=0.05\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.2-0}{0.05}=\dfrac{-0.2}{0.05}=-4\)

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

\(P-value=2\cdot P(z<-4)=0.00008\)

As the P-value (0.00008) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that there is a significant difference in the proportion of residents and commuters who prefer the switch.

Answer:

56 cubic meter

Step-by-step explanation:

Volume of a pyramid: V=(lwh)/3

So then 7*3*8/3= 7*8 =

56 cubic meter

Answer:

let no. be x and y.

we have

x+y=11.......(1)

x-y=5........(2)

adding equation 1&2

x+y+x-y=11+5

2x=16

x=16/2=8

again

8-y=5

y=8-5=3

:.

x=8,y=3

Answer:

I'm pretty much confused abt this one bc I didn't get an exact answer. Anyway I think it's 13.1

Step-by-step explanation:

The pic

Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

For a standard normal distribution, the approximate value of

P(-0.41) ≤ z ≤ (0.73) is 43%.

Option A is the correct answer.

We have,

To find the approximate value of P(-0.41) ≤ z ≤ (0.73) for a standard normal distribution, we need to use the standard normal table.

Looking at the table,

The value of P(Z ≤ 0.73) = 0.7673.

The value of P(Z ≤ -0.41) = 0.3409.

To find the value of P(-0.41) ≤ Z ≤ (0.73),

We need to subtract P(Z ≤ -0.41) from P(Z ≤ 0.73):

P(-0.41) ≤ Z ≤ (0.73) = P(Z ≤ 0.73) - P(Z ≤ -0.41)

P(-0.41) ≤ Z ≤ (0.73) = 0.7673 - 0.3409

P(-0.41) ≤ Z ≤ (0.73) = 0.4264

Rounding this value to the nearest whole percent, we get 43%.

Therefore,

For a standard normal distribution, the approximate value of

P(-0.41) ≤ z ≤ (0.73) is 43%.

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The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.

Now, WE get;

the probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 1 - P (snowfall)

P (no snowfall) = 1 - 0.230

P (no snowfall) = 0.770

Thus, The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

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Answer:

9. 3 acute angles

10: a) Acute Isosceles

     b) Acute Scalene  

Step-by-step explanation:

9:  Sum of Interior angle theorem: Sum of the interior angles of a Triangle = 180°

An Acute angle is a angle that is less than 90°

the sum of the two acute angles must be less than 180°

The base angles of an isosceles triangle are congruent.

So For example,

the base angles of the isosceles are ∠1 and ∠2

Lets make the three angle measure closer:

if ∠1 = 46° then ∠2 also have to be 46° and ∠3 = 88°

all three angle are less than 90° and two angles are congruent.

Answer:

14 ounce bottle

Step-by-step explanation:

I just got the answer right :)

Answer:

16

Step-by-step explanation:

distance between point x and z is 8 units

distance between point z and y is 4 units

8 * 4 = 32

formula for area of a triangle (l * w)/2

plugin: (8 * 4)/2 = 16

Answer:

12

Step-by-step explanation:

To find perimeter, add the lengths of each side. 5 + 4 + 3 = 12

Answer:

12

Step-by-step explanation:

5+4+3

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

To draw a model showing what percent of 500 lanterns Ms. Duda's class hangs before lunch, we can use a rectangular bar model.

Draw a rectangular bar to represent the total number of lanterns, which is 500. Label it as "Total Lanterns."

Divide the rectangular bar into two parts. One part should represent the number of lanterns hung before lunch, which is 100. Label this section as "Lanterns Before Lunch."

Calculate the percentage of lanterns hung before lunch by dividing the number of lanterns hung before lunch by the total number of lanterns and multiplying by 100. In this case, (100/500) * 100 = 20%.

Draw an arrow pointing to the "Lanterns Before Lunch" section, and write "20%" next to it to represent the percentage.

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

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Answer:

  (B)  -6

Step-by-step explanation:

If D is to be a functions, the value of x cannot repeat any of the other values listed first in the ordered pairs. Values of 6, 8, and -3 must be rejected. The only remaining answer choice is -6.

Answer:

192

Step-by-step explanation:

We know that it will take 12 layers of 16 one-inch ice cubes to fill the cereal box.

The ice cubes are 1inch by 1inch.

So we take the height * length * width

                          12         2           8

=192            

Answer:

Step-by-step explanation:

area = length x height

50 cm2 = length x height

50 divided by 2 is 25

50 cm2= 25 cm x25 cm

The value of the car after 3 years is $79, 000

To determine the value, we have to use the formula;

Value = Initial value × (1 - Depreciation rate)ⁿ

Substitute the values given, we get;

Remaining value after 3 years = $100,000 × (1 - 0.10)³

Expand the bracket, we get;

Value after 3 years = $100,000 × (0.90)³

Find the cube value and substitute, we have;

Value after 3 years = $100,000 × 0.729

Multiply the values, we have;

Value after 3 years = $72,900

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Company should provide insurance policies to employees because the employees are assets to them.

An insurance policy is a contract between the insurance company and the person getting the insurance.

Employees are assets of a company.

Companies should look after by insuring this asset like any other asset.

Although it is not the only factor for an employee to stick to a company, it is also one of the contributing factor for the employees to stick to a company longer.

It is a very good benefit for the employee since the premium is paid by the employer for the employee.

Hence companies should provide insurance policies to employees.

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Answer:

y = 1.19x

Step-by-step explanation:

y is the dependent variable (total cost)

x is the independent variable (number of pounds)

Answer: 1

Step-by-step explanation:

Answer:

W=13.2

Step-by-step explanation:

W-9.96=3.24

Add both sides by 9.96

W=13.2

The variable most likely to be approximated by a normal model is c. The distribution of age, in years, of the students at a certain college, where most students are between 18 and 22 years old, but ages greater than 22 will probably be more spread out than ages less than 18.

A normal model is used to describe data that has a symmetrical distribution and where most values cluster around the center of the distribution. Of the variables listed, c. The distribution of age, in years, of the students at a certain college, where most students are between 18 and 22 years old, but ages greater than 22 will variable probably be more spread out than ages less than 18 is the most likely to be approximated by a normal model as it does have a symmetrical distribution and most values will cluster around the center.

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Answer:

1073333/5000000

Step-by-step explanation:

Convert to a simplified fraction by placing the numbers to the right of the decimal over 10000000. Reduce the fraction.

The diagonals are congruent and the median is parallel to the bases in isosceles trapezoid .

What is an isosceles trapezoid?

An isosceles trapezoid is trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal.

In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram). The diagonals are also of equal length.

The diagonals are congruent because if the diagonals are congruent the at least to of its legs (probably the vertical ones) are congruent. and the median is parallel to the bases in isosceles trapezoid  because parallelism indicates that heights (vertical legs) are accurately congruent .

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Answer:

a. y = 3/2x - 12

Step-by-step explanation:

Slope is y = mx + b

Slope or m = 3/2

y-intercept or b = -12

Substitute m for 3/2 and b for -12 then the answer would be y = 3/2x - 12

Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No

Answer:

16) 9.08 × 1.74 = 15.7992

17) 7.15 × 3.96 = 28.314

18) 31.05 × 5.82 = 180.711

19) 6.13 × 10.12 = 62.0356

Hope this is what you were looking for :)

The measure of the minor arc m∡rv = 111°

Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c

Where a = ∡RV
b = ∡SU = 37°:

and c = ∠T (the angle between intersecting secants.

Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:

(a - 37) / 2 = 37

Multiplying both sides by 2 gives:

a - 37 = 74

Adding 37 to both sides gives:

a = 111

Therefore, a is equal to  m∡rv = 111°.

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