In a sample of 800 adults, 242 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals.

Answer:

Step-by-step explanation:

a) The interest generated over the 9 months is how much the woman paid for use of the money, then:

[tex]I=C.t.i\\C=3000\\t=9\\i=3.5%=0.035\\I=3000.9.0.035=945\\I=945[/tex]

Therefore , the woman paid $945 for the use of the money.

b) The total amount that she repaid the bank is:

[tex]C_{t} =C+I=3000+945=3945\\C_{t} =3945[/tex]

Finally we have that the woman paid $3945 to the bank

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Answer:

5.5 pounds

Step-by-step explanation:

Answer:61

Step-by-step explanation: Just took test

Answer:

it decreased by 45 degrees f

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The change in temperature.

= Final temperature - Initial temperature

The change in temperature is -45°F

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The temperature at the time of bed.

Initial temperature = 36° F

The temperature when she woke up.

Final temperature = -9° F

The change in temperature.

= Final temperature - Initial temperature

= -9 - 36

= 45°F

This means that there was a change of 45°F from the time when she went to bed till the time she woke up.

Thus,

The change in temperature is -45°F

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Answer:

4.75!

Step-by-step explanation:

Answer:

your answer is D. $20.00

Answer:

The slope is 4/9

Step-by-step explanation:

-9/4 changes to 4/9 as the slope to be perpendicular.

Answer:

4/9

Step-by-step explanation:

Answer:-3

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

[character limit pass]

Answer:

h+2h−1000=4400

Step 1: Simplify both sides of the equation.

h+2h−1000=4400

h+2h+−1000=4400

(h+2h)+(−1000)=4400(Combine Like Terms)

3h+−1000=4400

3h−1000=4400

Step 2: Add 1000 to both sides.

3h−1000+1000=4400+1000

3h=5400

Step 3: Divide both sides by 3.

3h3=54003

h=1800

Answer:

h=1800

Answer:

h = 1800

Step-by-step explanation:

Equations

Solve the following equation:

h + (2h - 1000) = 4400

Remove the parentheses. No changes are done because it doesn't have any operation of multiplication or division:

h + 2h - 1000 = 4400

Joining like terms on the left side:

3h - 1000 = 4400

Adding 1000:

3h = 5400

Dividing by 3:

h = 5400/3 = 1800

h = 1800

Answer:

Step-by-step explanation:

if you have :

500 students

46% male

500*(46/100)=230 students are male

500-230=270 female

(270*100)/500=54%

Answer:

95

Step-by-step explanation:

55+30=85

The three angles together will equal 180 so 180-85=95. That would give you y. Y and X and vertical angles and since vertical angles are congruent and y=95 X has to also equal 95

Answer:

Part(A): 1 triangle represents [tex]\dfrac{1}{3}[/tex] of whole.

Part(B): 1 rhombus represents [tex]\dfrac{2}{3}[/tex]  of whole.

Part(C): 1 hexagon represents 2 whole.

Step-by-step explanation:

Consider the provided figure.

Here, it is given that the trapezoid represents 1 whole.

Part 1. Consider figure 1.  

3 triangles can be group into a whole trapezoid.  

[tex]3\times \frac{1}{3}=1[/tex]

Hence, 1 triangle represents [tex]\dfrac{1}{3}[/tex] of whole.

Part 2.

Consider figure 2.  

Here, in figure 2 if we put 1 rhombus on the given trapezoid, we will be left with the shape is a triangle, which is [tex]\dfrac{1}{3}[/tex]  of the trapezoid. Also, the triangle is [tex]\dfrac{1}{2}[/tex] of the rhombus.

We know that 3 triangles can be fit into 1 trapezoid and 2 triangles can be fit on a rhombus

Hence, 1 rhombus represents [tex]\dfrac{2}{3}[/tex]  of whole.

Part 3.

Consider figure 3.  

2 trapezoid = 1 hexagon  

Hence, 1 hexagon represents 2 whole.

Answer:

-2.154

Step-by-step explanation:

We are given;

Population mean; μ = 432

Sample mean; x¯ = 425

Sample size; n = 29

standard deviation; σ = 26

Hypothesis is defined as;

Null hypothesis; H0: μ ≥ 432

Alternative hypothesis: Ha: μ < 432

Formula for the test statistic since sample size is less than 30 is;

t = (x¯ - μ)/(σ/√n)

Plugging in the relevant values;

t = (425 - 432)/(26/√29)

t = -1.45

Now,we are given significance level of 0.02; our DF = n - 1 = 29 - 1 = 28

From t-table attached, we can see that at DF of 28 and significance value of 0.02, the critical value is 2.154

However, this is a left tailed test as the rejection region is to the left.

Thus, the critical value of a left tailed test is negative. Thus, in this case our critical value will be -2.154

Answer:

a

Step-by-step explanation:

The required, the triangle changes size, but not shape. Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.

Here,
A dilation to place triangle ABC on top of triangle DE is the triangle changes size, but not shape. Because it is necessary property of dilation. Since dilation only helps to scale the figure. In the question it is mention that shifting of triangle through dilation there is why triangle must be scale to shift over one another

Thus, the required, the triangle changes size, but not shape. Option A is correct.

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Based on the given table, the way the annual tax revenues of Peru and Chile compare to one another is d. Chile collects $10,805,998,234 more than Peru.

This refers to the money paid to the government based on work done by its citizen for the purpose of infrastructure and improving living conditions.

Hence, we can see that based on the workforce, average salary, income tax rate, and other data, it can be noted that from the tax revenues collected by both Peru and Chile, Chile collects $10,805,998,234 more than Peru.

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Answer:

n + 0.215n

Step-by-step explanation:

Answer:

x= 4.5

Step-by-step explanation:

Please see the attached picture for the full solution.

9514 1404 393

Answer:

  2.  x ≈ 17.74

  3.  x ≈ 16.64

Step-by-step explanation:

The tangent function relates an angle to the opposite and adjacent sides of a right triangle:

  Tan = Opposite/Adjacent

Here, we're looking for the measure of the side opposite the angle, so we can rearrange this relation to ...

  Opposite = Adjacent×Tan

__

2.  x = 32×tan(29°) ≈ 17.74

3.  x = 13×tan(52°) ≈ 16.64

_____

Hopefully, we've given enough decimal places so that you can round to the precision you need.

Answer:

Sale Price = $42 (answer). This means the cost of the item to you is $42. You will pay $42 for a item with original price of $56 when discounted 25%. In this example, if you buy an item at $56 with 25% discount, you will pay 56 - 14 = 42 dollars.

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

The original price is $56.

The discount is 25% off.

To solve the equation, turn 25 into a decimal. The you multiply it by 56.

25 to a decimal = 0.25

56 * 0.25 = 14

The answer is 14. That means the thing that is being bought is $14 off.

So, you have to subtract 56 and 14.

56 - 14 = 42

If the probability of picking a red marble out of the total 63 is 8/9, then it's reasonable to think that 8/9 of the total number of marbles must be red. So there are likely 8/9 × 63 = 56 red marbles in the bag.

Answer:

A

Step-by-step explanation:

2 (1+n)= - 1n

3 2

2+2n = - n/2

3

2(2+2n) = - 3n

4+4n = - 3n

4 = - 3n - 4n

4= - 7n

n = - 4

7

Answer:

a = 25  

b =  100

c =  17

d =  68

Step-by-step explanation:

Answer:

he needs 55 to cover the one rectangular side of the tent with the rip

one rectangular side=55

If Marcus’s dad wanted to re-cover the whole tent including the bottom, he  would need 189.

3 rectangular sides=165

2 triangular sides=24

165+24=189

Step-by-step explanation:

Answer:

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Step-by-step explanation:

Answer:

A translation is converting another language into English

Step-by-step explanation:

Answer:

The answer to the question provided is Grace.

Step-by-step explanation:

The angle measure for 60 degrees and its corresponding side which measures 14 is greater than the measure of 50 degrees and its corresponding side which measures 12.4. That's correct. The reason Hector was incorrect is because the angle measure for 60 degrees and its corresponding side measured 12.4 was less than the measure of 50 degrees and its corresponding side that measured 14. 60 degrees is greater than 50 degrees, then the corresponding side for the angle that measures 60 degrees should be greater than the corresponding side for the angle that measures 50 degrees.