Helen rolls a dice and flips a coin.

Calculate the probability that she gets a 4 and a tail.

The equation of the direct variation is expressed as: y = 1/8x.

The equation of a direct variation between two variables, say x and y, is expressed as y = kx, where k is the constant of proportionality, if y varies directly as x.

Therefore, substitute y = 2 and x = 16 into y = kx to find the value of k:

2 = k(16)

Divide both sides by 16

2/16 = k

1/8 = k

k = 1/8.

To write the equation of the direct variation, substitute k = 1/8 into y = kx:

y = 1/8x.

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The number of toy cars that can be kept in: 9 boxes and 8 boxes is 153 and 136 respectively .

Given :

288 toy cars can be kept in either 16 boxes or 18 boxes .

if 288 toy cars kept in 16 boxes .

number of toy cars in one box = 288 / 16

= 18 toy cars

if 288 toy cars kept in 18 boxes

number of toy cars in one box = 288 / 18

= 16 toys cars

Average = 18 + 16 / 2 = 34/2 = 17 toy cars .

Number if toy cars in 9 boxes = 9 * 17

= 153 toy cars

Number of toy cars in 8 boxes = 8 * 17

= 136 toy cars

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Answer:

hey, the answer is A I'm 100% for sure:)

Step-by-step explanation:

:)

Answer:

10,000

Step-by-step explanation:

Answer:

Area of a Parallelogram = Base x height

2½ can also be expressed as 5/2

So Bxh = 3 x 5/2

Area = 15/2

Or 7½ft²

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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Answer:

Step-by-step explanation:

tan 38 = opp/adj = h/77

h = 77tan38

h = 60.1589932...

h = 60.2 ft

Answer:

B

Step-by-step explanation:

The meaning in the situation is B; positive correlation; as time passes, the CPI increases.

The correlation coefficient is the degree of association between two quantities in terms of linear relation. The range of correlation coefficient is -1 to 1

If the correlation is -1, then that refers as the one quantity increases, the other quantity decreases , also the correlation is 0, then there is no linear relationship between two variables.

There are two types of Correlation;

Positive Correlation= With Increase in x value, y value also increases, we call it positive correlation.

Negative Correlation= With Increase in x value, if y value decreases, we call it negative correlation.

As we can see from the points plotted on the graph ,with increase in x value , y value decreases.

Hence, positive correlation; as time passes, the CPI increases.

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1) Let's do the long division of 32780 ÷149:

2) Let's do this step by step.

2.1) Let's pick 327 firstly:

2.2) Let's subtract the product 2 x 149 = 298 from 327. So 327-298=29.

2.3) Now let's get the 8 down, to form the next number to divide for 149.

2.4) Let's multiply 2 x 149 that is equal to = 298

2.5) Since there's only a zero to go down, we can place this as a quotient right away.

So 32780 : 149 = 220 and no remainder (R =0)

Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

Answer:

either x = 1.75 or x = 700 , question wasn't clear

Step-by-step explanation:

Because you put the x in front of 20 , you might be meaning x/20 (second answer listed)? Or, you put the variable on the wrong side of 20. (first answer listed)

If you meant to type 20x

35 = 20x

÷20   ÷20     *

1.75 = x

*divide both sides by 20 to isolate x

x = 1.75

(x = \(\frac{35}{20}\))

--------------------------------------------------------------------------

If you meant to type x/20

35 = \(\frac{x}{20}\)

·20   ·20       *

700 = x

*multiply both sides by 20 to isolate x

700 = x

The equation for Tisha and her team is a equals T plus b plus c plus d all over 4 or , a = (T-b-c-d)/4

An equation is created by joining two expressions with the equals sign ("=").

The points that are earned from the three local matches are b , c, and d.

points earned from the district game = 4a

The total points earned is T

Therefore forming the equation:

T = (4a + b + c + d )

Now we make a the subject of formula:

or , a = ( T - b - c - d) / 4

Therefore the required equation is a equals T plus b plus c plus d all over 4 .

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Answer:

a = (T-b-c-d)/4

Step-by-step explanation:

took test

Answer:

The distance between the points

d = LM = 10.24

Step-by-step explanation:

Step(i):-

Given that the points are L ( 7,-1) and M (-2,4)

The distance formula

  LM = \(\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }\)

Step(ii):-

\(LM= \sqrt{(-2-7)^{2} +(4-(-1) )^{2} }\)

LM = \(\sqrt{(-9)^{2} +(5)^{2} }\)

LM = √106

LM = 10.29

The distance between the points

d = LM = 10.24

Answer: the value of the test statistic is 2.11

Step-by-step explanation:

Given that;

sample mean x" = 95

standard deviation σ = 3

sample size n = 40

Null hypothesis H₀ : μ = 94

Alternative hypothesis H₁ : μ ≠ 94

Level of significance ∝ = 0.02

Test statistic value

z = (x" - μ) / ( σ/√n)

we substitute

z = (95 - 94) / ( 3/√40)

z = 1 / 0.4743

z = 2.11

Therefore, the value of the test statistic is 2.11

Answer:16x16

Step-by-step explanation:

Remember the definition of the inverse function

Then, in our problem, we need to find f^-1 such that

Then, a clear possibility is:

Now, the second condition

Thus, the inverse function is x+13

Answer:

Latoya bought 4 pounds of coffee.

Step-by-step explanation:

it sounds like you want to know how many pounds of coffee Latoya bought. First, let's figure out how much she spent. Subtract the amount she has left from the amount she started out with:

90 - 57.68 = 32.32

Latoya spent $32.32 on coffee. Since it cost $8.08 per pound, we can divide the total cost by 8.08 to figure out how many pounds she bought:

32.32/8.08 = 4

Latoya bought 4 pounds of coffee.

Answer:

Part A: D,E    

Part B:

            m°= 90°

            x°= 70°

            y°=  70°0

            z°=  110°

The value of TU is 21

From the question, we have

ST=3x+3 and TU=2x+9

ST = TU

3x + 3 = 2x + 9

3x - 2x = 9 - 3

x = 6

substituting the value, we get

TU = 2x + 9

= 2 (6) + 9

= 12 + 9

TU = 21

Addition:

The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts, Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.

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Answer:

-1.6

Step-by-step explanation:

4x +8y=0

y=0.8 ⇒

Answer:

$23.80

Step-by-step explanation:

30% off means we take 30% off of the original price, or we calculate

(1-30%)=70% of the shirt's price

34*70%=23.8

The Lateral area of the cylinder 376.99 square inches and Surface area

is 1054.0 square inches.

The given solid is a cylinder.

The radius of the cylinder,

r = diameter / 2

r = 12 / 2

r = 6 inches

Now, Lateral area of the cylinder

= 2πrh

= 2π(6)(10)

= 120π

≈ 376.99 square inches (rounded to the nearest tenth)

and, Surface area of the cylinder

= 2πr^2 + 2πrh

= 2π(6)^2 + 2π(6)(10)

= 216π + 120π

= 336π

≈ 1054.0 square inches (rounded to the nearest tenth)

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Answer:

20 + 0.17x is the expression

Answer: 0.17m+20=c

Step-by-step explanation: m=miles c=cost

Step-by-step explanation:

Flip f(x) about the x-axis by multiplying it by -1

  - f(x)

  the squish it skinnier by multiplying it by 4

g(x) = - 4 f(x)   = -4 x^2

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)

Answer:

236 ft^3

Step-by-step explanation:

Base radius = 5 ft

Height = 3 ft

Volume =   πr^2h

              =  π × 5^2 × 3

              =  75π

               =  235.61944901923 feet^3

Nearest Cubic Foot = 236 ft^3

Nearest Cubic Foot:

Hence Answer is:

236 ft^3

Hope this helps!

Answer:

for Mr farley I got 70 and for Mr samuels I got also 70 and there is no difference because they both have the same mean I hope I helped

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer:93.75 miles

Step-by-step explanation:

Given

Distance between two cities is \(3.75\ inches\)

and Map 2 shows 2 inches is equal to \(50\ miles\)

So each inch is equal to \(25\ miles\)

So \(3.75\ in.\) measures

\(\Rightarrow =3.75\times 25=93.75\ miles\)

So cities are \(93.75\ miles\) apart