Teresa deposits $800 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 2 years?

Answer:

40.79 degrees

Step-by-step explanation:

Hope this helps

from the diagram the opposite is 4.9 and the hypothenus is 7.5

then sin x = 4.9/7.5

x = sin inverse of ( 4.5/7.5)

x = 40.79

Answer:

0.07

Step-by-step explanation:

It's 7/100. There are two zeros so you move the decimal place to the left two times. Or you can just put the seven in the hundreths place.

Answer:

X=22

Step-by-step explanation:

add 9 to both sides

X-9+9=13+9

X=22

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

This question is incomplete, the complete question is;

A Driver's Ed program is curious if the time of year has an impact on numer of car accidents in the U.S.

They assume that weather may have a significant impact on the ability of drivers to control their vehicles. They take a random sample of 150 car accidents and record the seasons each occurred in. They found that 27 occurred in the Spring, 39 in the Summer, 31 in the Fall, and 53 in the Winter. Can it be concluded at the 0.05 level of significance that car accidents are not equally distributed throughout the year

a) Yes, because the p-value = 0.0145

b) No, because the p-value = 0.0145

c) Yes, because the p-value = 0.0291

d) No, because the p-value = 0.0291

Answer:

p-value = 0.0145

Since p-value ( 0.0145 ) is less than Significance level ∝ ( 0.05 ),

We reject Null hypothesis.

Hence, There is sufficient evidence to conclude that car accidents are NOT equally distributed through out the year.

[ Option a) Yes, because the p-value = 0.0145 ] is the correct answer.

Step-by-step explanation:

Given the data in the question;

number of car accident = 150

Observed Frequencies O are;

Spring = 27

Summer = 39

Fall = 31

Winter = 53

Significance level ∝ = 0.05

Hypothesis

Null hypothesis            H₀ : The car accidents are equally distributed through out the year

Alternative hypothesis H₀ : The car accidents are NOT equally distributed through out the year

Now, Expected Frequency E will be;

Spring = 150/4 = 37.5

Summer = 150/4 = 37.5

Fall = 150/4 = 37.5

Winter = 150/4 = 37.5

Test Statistics;

[tex]X^2_{stat^[/tex] = ∑[ ( O-E )² / E ]

so

[tex]X^2_{stat^[/tex] = [ ( 27-37.5 )² / 37.5 ] + [ ( 39-37.5 )² / 37.5 ] + [ ( 31-37.5 )² / 37.5 ] + [ ( 53-37.5 )² / 37.5 ]

[tex]X^2_{stat^[/tex] = 2.94 + 0.06 + 1.1267 + 6.4067

[tex]X^2_{stat^[/tex] = 2.94 + 0.06 + 1.1267 + 6.4067

[tex]X^2_{stat^[/tex] = 10.5334

Degree of Freedom DF = n-1 = 4 -1 = 3

Now,

p-value = P( [tex]X^2[/tex] - [tex]X^2_{stat^[/tex] ) = P( [tex]X^2[/tex] - 10.5334 ) = 0.0145

p-value = 0.0145

Since p-value ( 0.0145 ) is less than Significance level ∝ ( 0.05 ),

We reject Null hypothesis.

Hence, There is sufficient evidence to conclude that car accidents are NOT equally distributed through out the year.

[ Option a) Yes, because the p-value = 0.0145 ] is the correct answer.

Step-by-step explanation:

6% of 35000

6/100×35000

=2100

hope it helps you

Step-by-step explanation:2100

Answer:

64 ounces of carrots

Step-by-step explanation:

4×16=64

Answer:

64 ounces

Step-by-step explanation:

There are 16 ounces in 1 pound.

If you know that 16 ounces is 1 pound, then you know that 4 pounds must be 16 * 4.

16 * 4 = 64 ounces

Answer:

X = -6 - 3y

Y = -1

Step-by-step explanation: Solve for X first using basic algebra. Plug in X vaalue to original equation and solve. -6 - 3y + 3y = -6. Solve by adding 6 to both sides of the equation and dividing -3y by 3y.

Answer:

12+8k

Step-by-step explanation:

I can start by combining the like terms in the equation which is 10 and 2. 10+2=12. My final answer would be 12+8k because 8k and 12 are not like terms so I cannot proceed in this case and leave it as my answer.

Answer:

320

Step-by-step explanation:

LENGTH=40

WIDTH/BREADTH=80

AREA=LXB

=80X40=320

HOPE THIS HELPS YOU.

9514 1404 393

Answer:

  244 tiles

Step-by-step explanation:

These "border" problems can be a little tricky.

The tiles are 1 ft square, so an integer number of them fit along each of the sides. The 40-ft side will take 40 tiles for its border, and the 80-ft side will take 80 tiles.

The total number of tiles along each of the four sides is ...

  40 + 80 + 40 + 80 = 240 . . . tiles

However, there is also a tile in each of the corners. There are 4 of those, so the total number of tiles surrounding the pool is ...

  240 +4 = 244 tiles

__

Alternate solution

For a border of width w, the outside area of the pool plus the border is ...

  A = LW = (80 +2w)(40 +2w) = 80·40 +240w +4w²

The area of the pool is ...

  A = LW = (80)(40) = 80·40

Subtracting the area of the pool from the total area including the border gives ...

  border area = (80·40 +240w +4w²) -(80·40) = 240w +4w²

We know the width of the border is 1 foot, so w=1 and the border area is ...

  border area = 240·1 +4·1² = 244 . . . . square feet

Each tile is 1 square foot, so 244 tiles are needed for the border.

_____

It can help to draw yourself a diagram. It can also help to make a small model using blocks, Scrabble tiles, Legos, jigsaw puzzle pieces, squares cut from paper, or even coins (pennies). Anything that will give you an idea of how to count the tiles required to make a border can be helpful.

Given:

Segment AD is perpendicular to segment BC.

D is the midpoint of segment BC.

To prove:

[tex]\Delta BDA\cong \Delta CDA[/tex]

Solution:

The two column proof is shown below:

Statements                                                      Reasons

1. [tex]\overline{AD}\perp \overline{BC}[/tex], D is the midpoint of [tex]\overline{BC}[/tex]         1. Given

2. [tex]\overline{BD}\cong \overline{CD}[/tex]                                                 2. Definition of midpoint

3. [tex]m\angle ADB=90^\circ \text{ and }m\angle ADC=90^\circ[/tex]         3. Definition of perpendicular lines

4. [tex]m\angle ADB=m\angle ADC[/tex]                                4. Substitution

5. [tex]m\angle ADB\cong m\angle ADC[/tex]                                5. Definition of congruence

6. [tex]\overline{AD}\cong \overline{AD}[/tex]                                                 6. Reflexive property

7. [tex]\Delta BDA\cong \Delta CDA[/tex]                                      7. SAS congruence postulate

Hence proved.

Answer:

69.1 cm

Step-by-step explanation:

Circumference of a circle

c = 2πr

Half of that would be a semi-circle

c = πr

c = π * 22

c = 69.115038379

Rounded

69.1 cm

9514 1404 393

Answer:

  A, D, E

Step-by-step explanation:

You can try the answer choices in the inequality to see which make it true.

  a. -2·1 -2 = -4 ≥ -4 . . . . TRUE (1, -2)

  b. -2·0 -5 = -5 ≥ -4 . . . false

  c. -2·3 -1 = -7 ≥ -4 . . . false

  d. -1·0 +1 = 1 ≥ -4 . . . . TRUE (0, 1)

  e. -2·(-1)+1 = 3 ≥ -4 . . . . TRUE (-1, 1)

Answer:

ok

Step-by-step explanation:

please mark me brainleast

Answer:

[tex]y=-5x-6[/tex]

Step-by-step explanation:

Hi there!

In [tex]y=mx+b[/tex], m is the slope of the line and b is the y-intercept (the value of y when x is 0). y and x remain the same but m and b are replaced with numbers.

Given that the slope is -5, plug it into [tex]y=mx+b[/tex]:

[tex]y=-5x+b[/tex]

Now, to solve for b, plug in the given point (-2,4):

[tex]4=-5(-2)+b\\4=10+b[/tex]

Subtract 10 from both sides to isolate b:

[tex]4-10=10+b-10\\-6=b[/tex]

Therefore, the y-intercept of this line is -6. Plug this back into [tex]y=-5x+b[/tex] as b:

[tex]y=-5x-6[/tex]

I hope this helps!

Answer:

Mean will be affected.

Step-by-step explanation:

The mean value of the data set will be affected as it depends on the magnitude of data points and not its position. The median however will not change since it depends on the relative position of data points.

Answer:

Step-by-step explanation:

angle P=angle R(being vertically opposite angle)

angle P=38 degree

angle P + angle Q=180 degree(given they are supplementary angles)

38 + angle Q=180

angle Q=180-38

angle Q=142 degree

[tex]\boxed{17}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Substituting the values of a, b and c in the expression, we have

[tex] {a}^{3} - (b + c) \\ = ( {3})^{3} - (4 + 6) \\ = (3 \times 3 \times 3) - (10) \\ = 27 - 10 \\ = 17[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

17 ( See image below:)

Step-by-step explanation:

you substitute what a is which is 3

then b=4

then c=6

so

3^3-(4+6)

Answer:

Adding, Substracting, multiplication and division. If you add the same number to both sides of an equation, both sides will remain equal.

Step-by-step explanation:

Options for the question:

a. one mean

b. comparing means from dependent samples

c. comparing means from 2 independent samples

d. one proportion e. comparing proportions from 2 independent samples

f. comparing proportions from dependent samples

Answer:

b. comparing means from dependent samples

Explanation:

The samples are dependent as same individuals are sampled over the months(August and November). Therefore individuals sampled in August will likely show some of the same traits in November. Also we are comparing means since we are working with mean of alcohol consumed for each period and then comparing with another period/months.

Answer:

See Explaination

Step-by-step explanation:

According To Question

(Diagram, Please Find In Attachment)

Question 38 . Cos ∅ = 12/13   ∅ in Quadrant-4(Where only Cos & Sec are Positive all other Functions Are Negative in this Quadrant)

Now ∅ Represent a Right Angle Triangle with Base=12 Perpendicular=5 & Hypothenese=13

Sin∅ = -5/13 , Cosec∅=-13/5 , Tan∅=-5/12 , Cot∅=-12/5 & Sec∅=13/12

Question 39 . SinX=-3/4   X Lies in Quadrant-3(Where only Tan & Cot are Positive all other Functions Are Negative in this Quadrant)

Find By Using Basic Formulas

[tex]SinX^{2}+CosX^{2}=1[/tex] ↔ Put Value of Sin∅=-3/4

We get CosX= ±[tex]\frac{\sqrt{5} }{4}[/tex] (but X Lies in Quadrant-3 Where Cosine Is Negative , So Neglect CosX= +[tex]\frac{\sqrt{5} }{4}[/tex])

So CosX= -[tex]\frac{\sqrt{5} }{4}[/tex] ...... now you get the point . All Questions Will Solve like This .

Answer:

The answer is (h).

Step-by-step explanation:

When y = 2^x is shifted 4 units left, the x shifts 4 units to the left and x becomes (x+4). When the graph is shifted to units down, y has to be subtracted by 2.

The function becomes

y = 2^(x+4) -2.

Finally, you shift -2 to the same side as y.

This becomes

y+2 = 2^(x+4) which is (h)

Answer:

22.5

Step-by-step explanation:

Inscribed Angle =1/2 Intercepted Arc

F = 1/2 (45)

<F = 22.5

Answer:

Step-by-step explanation:

250/50=50miles per hour

Answer:

C. AA

Step-by-step explanation:

AA or angle - angle similarity is a principal which states that if triangles have two congruent sets of angles, then they are similar.

Answer:

independent and explanatory

Step-by-step explanation:

In a study, an independent variable may be defined as the variable that does not affect the other variables in the study when it is changed. Thus a variable is said to be independent when it is not affected by the any other variable in the study.

Whereas, an explanatory variable can be manipulated or changed by the experimenter. It is the variable that is not independent for certain variables.

Thus in the context, the scatterplot showing the total precipitation and the percent of the people who tested positive for the malaria test. The precipitation from the graph is the independent as well as the explanatory variable.

Answer:

The area of the living room is 20x20 or 400 square feet

the area of the dining room is 15x10 or 150 square fee

The sum of the areas of the two rooms is 400+150 or 550 square feet of carpeting

Hope that helps :)

Have a wonderful day!

Answer:

the area of the living room is 20 x 20 or 400 square feet the area of the dining room is 10 x 15 or 150 square feet the sum of the two rooms is 400 + 150 or 550 square feet of carpeting

Step-by-step explanation:

Answer:

66.32

Step-by-step explanation:

Hello!

[tex]\large\boxed{66.32 m}[/tex]

We are given the area, so we can solve for the width given the length:

A = l × w

Thus:

272.4 = 15 × w

w = 18.16 m

The perimeter of a rectangle can be calculated using this equation:

P = 2l + 2w

Therefore:

P = 2(15) + 2(18.16)

P = 30 + 36.32 = 66.32m