Siven: NMXZ
Prove: AXYZ- ANYM
N
X
N
M
We know that side NM is
✓to side XZ
If we consider side NY the transversal for these parallel
lines, we create angle pairs. Using the
, we can state that
ZYXZ is congruent to ZYNM. We know that angle XYZ
is congruent to angle
by the reflexive property.
Therefore, triangle XYZ is similar to triangle NYM by
the
similarity theorem.

GIVEN

A compound interest account with a principal of $9500 accumulating to $11346 in 7 years, compounded annually.

TO FIND

The interest rate.

SOLUTION

The compound interest formula is given to be:

where

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed.

From the question, the following parameters are seen:

Therefore:

Solve for r:

Multiply by 100:

ANSWER

The interest rate required to get a total amount of $11,346.00 from compound interest on a principal of $9,500.00 compounded once per year over 7 years is 2.57% per year.

Answer:

C

Step-by-step explanation:

Plug in two different numbers in the x coordinate and see if the y coordinate matches up with the same line.

Answer: the student forgot to multiple by right side of equation 2 in line 2

Step-by-step explanation: your welcome :)

-8

Step-by-step explanation:

you subtract all for numbers to get your solution

The 90 percent confidence interval for the population mean is (15.03, 16.57) tons.

To calculate the confidence interval, we can use the formula:

Confidence interval = sample mean ± (critical value) * (standard deviation / √(sample size))

Since we want a 90 percent confidence interval, we need to find the critical value associated with a 90 percent confidence level. Looking up the critical value in a standard normal distribution table, we find that it is approximately 1.645.

Plugging in the values into the formula, we have:

Confidence interval = 15.8 ± (1.645) * (3.85 / √(49))

= 15.8 ± (1.645) * (3.85 / 7)

≈ 15.8 ± 0.77

Therefore, the 90 percent confidence interval for the population mean is (15.03, 16.57) tons.

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Answer:

A

Step-by-step explanation:

The amount of umbrellas a person has is not given nor is it listed as a constant, meaning that this cannot be a function.

PLUG IN THE VALUES IN THE RIGHT POSITIONS AND SIMPLIFY.

\( = 2( \frac{1}{2} + \frac{3}{4} ) + 6 \\ = 2( \frac{5}{4} ) + 6 \\ = \frac{10}{4} + 6 \\ = \frac{5}{2} + 6 \\ = \frac{17}{2} \)

THE ANSWER IS OPTION C.

7a* Consider the distance is x

2/3x = 240

x = 360

The Distance between two points = 360 Km

7b* Consider the average speed at 2/3 distance was V

(45+V)/2 = 54

45+V = 108

V= 108-45= 63km/hr

The average speed for the last 2/3 trip was 63 km/hr

Step-by-step explanation:

each can is R is 4 so her width is 8. 6×8= 48 4×8=32 so it means the cardboard is 32×48. now calculate the area (1536 i think) and reduce 24×4^2×pi that this is the area of the cans.

A woman you know has five children among which all five  are boys. probability for a woman that she will have all five boy as a five children is  0.5.

The probability or the outcome  in which a women with five children have all the girls and none of them as boys is :-

0.5x0.5=0.25.

So for the  first child there is a a 50% chance that is will be of a male. And same for the  second child being male there will be equal probability that it can be boy so it  also will have a probability .

So the probability of having five females is  0.55=0.03125

Except the above define value all the other outcome or choices means that the women have a least one son in the five children  and the total probability of an event is 1.

.The theoretical probability is mainly reasoning bases which is behind probability. For example, if a coin is tossed then the theoretical probability or the outcome of getting a head will be ½.

Probability provides information about the happening of   something which might happen and might not depending upon the outcome demand happen. Meteorologists, also take the help of probability to predict whether the rain may happen or not for instance In epidemiology, also probability theory is used to understand  about various risk related to life an to demonstrate various relation .

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N in (-oo:+oo)

(-5/7)*n+1 = 21 // - 21

(-5/7)*n-21+1 = 0

-5/7*n-20 = 0 // + 20

-5/7*n = 20 // : -5/7

N = 20/(-5/7)

N = -28

N = -28

hope it worked out, since i'm not entirely sure.

Answer:

12cm

Step-by-step explanation:

The scoop of Ice Cream is in the shape of a circular solid which is a Sphere.

For the ice cream to fit into the cone, the volume of the cone must be equal to that of the sphere.

Radius of the Sphere=3cm

Volume of a Sphere =

Volume of a Cone=

The Cone of same radius must be 12cm tall.

1. 500% Increase

2. 40% Decrease

3. 75% Increase

4. 62.5% Increase

The area of square abcd is  be parallel lines passing through $a$, $b$, $c$, respectively is the 433.

Squares are quadrilaterals with four congruent aspects and four proper angles, and additionally they have units of parallel aspects. Parallelograms are quadrilaterals with units of parallel aspects. Since squares have to be quadrilaterals with units of parallel aspects, then all squares are parallelograms.

Here we have the values the distance between lines a and b is 12, and the distance between lines b and c is 17.

The distance is 12 and 17

x^2 = 12^2 + 17^2 = 144 +289 = 433

433 is the total that is the area of square of abcd.

Thus the area = 433.

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Answer:

(-1,3)

Step-by-step explanation:

Given that the quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. The vertex A is at (-5,2) is translated to vertex A' is at (2,-2).

The translation is x-direction, a, is the difference of x-coordinates of both the points, a=2-(-5)=2+5=7.

The translation is y-direction, b, is the difference of y-coordinates of both the points, b = -2-2 = -4.

As all the points are translated by the same magnitude as well as in the same direction, so by adding a to x and b to y coordinate of any points, the translated point can be determined.

The vertex of point B is (-6,5), so, the vertex of the point B' would be (-6+a, 5+b)=(-6+7, 5+(-4))=(-1,3).

Hence, the vertex of point B' is (-1,3).

If the measure of angle A is 23 degrees, the approximate measure of angle B is 67°.

If CA = 6.5 and BD = 5, then AD = 4.15 units.

In Mathematics and Geometry, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.

Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can logically deduce that the sum of the given angles are supplementary angles:

m∠ACB + m∠A + m∠B = 180°

m∠B = 180° - (90 + 23)

m∠B = 67°

Since AB is a diameter (angle D is a right angle), we would apply Pythagorean's theorem to find AD as follows;

AB² = AD² + DB²

AD² = AB² - DB²

AD² = 6.5² - 5²

AD = √17.25

AD = 4.15 units.

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According to the ratio presented, he spends 32 minutes on his science homework.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, The ratio Tim spends on math homework to science homework is 5 to 4.

thus,

(time on math)/ (time on Science) = 5/4

Since he spends 40 minutes on math homework,

From equation 1

Time spent on science = 4/5 * (time on math)

Time spent on science = 4/5 * 40

Time spent on science = 32

therefore, 32 minutes he spends on science homework as per the given ratio.

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The correct equation that describes the statement in algebraic form is 81=j+19

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.

Given here: The statement " The value of 81 is 19 more than j"

The unknow number here is j

and as the statement reflects the number 81 is 19 more than number j

Thus we can construct a statement as j+19=81

Or we can re write it as 81=j+19

Hence, The correct equation that describes the statement in algebraic form is 81=j+19

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Converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.

From the information given, we are to convert micrometers to square meters

Note that:

1 micrometer ( μm²) = 10^-12m²

Given 1. 50μm² =  xm²

cross multiply

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 5 × 10 ^-11 square meters

Thus, converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

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Answer:

-9/7

Step-by-step explanation: it’s parallel so it must have the same slope as line C.

ok

Original ratio = 18 : 21

- Divide both numbers by 3

new ratio = 18/3 : 21/3

- Simplifying

new ratio = 6 : 7 It's not possible to simplify it more

Answer:

\(-35v-56\)

Step-by-step explanation:

Answer:−35−56

Step-by-step explanation:

7(−5−8)

7(−5v−8)−35−56

Answer:

5 units

Since they both have the same y value, just subtract the a value's x from the b's x value

Assessing the given Venn diagram and the data related to it, we can answer the required question:

Q1. How many people were surveyed = 86.

Q2. What is the probability that a customer chosen at random:

a) takes salt P(S) = 46/85.

b) takes both salt and vinegar P(S ∩ V) = 13/85.

c) takes salt or vinegar or both P(S ∪ V) = 66/85.

The number of people who take salt chips n(S) = 46.

The number of people who take vinegar chips n(V) = 33.

The number of people who takes both n(S ∩ V) = 13.

The number of people who take neither n((S ∪ V)') = 19.

Therefore, the total number of people surveyed n(U) = n(S) + n(V) - n(S ∩ V) + n((S ∪ V)') = 46 + 33 - 13 + 19 = 85.

The number of people who takes salt or vinegar or both n(S ∪ V) = n(U) - n((S ∪ V)') = 85 - 19 = 66.

The probability that a customer chosen at random takes salt P(S) = n(S)/n(U) = 46/85.

The probability that a customer chosen at random takes both salt and vinegar P(S ∩ V) = n(S ∩ V)/n(U) = 13/85.

The probability that a customer chosen at random takes salt or vinegar or both P(S ∪ V) = n(S ∪ V)/n(U) = 66/85.

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Answer:

is this a questions or no?

Step-by-step explanation:

Given

The expression

To use distributive property to rewrite the expression without parentheses.

Explanation:

It is given that,

Then, by using distributive property,

Hence, the answer is option D) 3x+15.