Betty and Adam are playing cards. Betty has won 5 hands and Adam has won 20 hands. What is the ratio of the number of hands Betty has won to the number of hands Adam has won? A. 4:1 B. 1:4 C. 1:5 D. 5:1

The required exponential expression is 9⁵ for the numerical expression 9⋅9⋅9⋅9⋅9.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

"9⁵," or "nine to the fifth power is respectable because we have multiplied the number "9" by itself "five times."

Hence, the value is equal to:    

⇒ 9⋅9⋅9⋅9⋅9 is equal to:  " 9⁵ " ;  

that is, "nine to the fifth power"  or "nine to the power of "five" ;

Thus, the required exponential expression is 9⁵ for the numerical expression 9⋅9⋅9⋅9⋅9.

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Answer:

the slope is -4/3

the y intercept is 3

y = -4/3x + 3

Step-by-step explanation:

Here, we need to perform a hypothesis test at the 0.025 level of significance to see if the mean installation time has changed.

The null and alternate hypotheses are as follows:

Null Hypothesis H0: µ = 6 (mean installation time is equal to 6 minutes)

Alternate Hypothesis H1: µ ≠ 6 (mean installation time is not equal to 6 minutes)

The level of significance (α) is given as 0.025. The sample size is 41. The sample mean is 5.4 minutes and the sample standard deviation is 1.3 minutes.

To perform the hypothesis test, we need to compute the test statistic and compare it with the critical value of the t-distribution at the given level of significance.

Step 1: Specify the level of significance. The level of significance is α = 0.025.

Step 2: Formulate the null and alternate hypothesis. The null and alternate hypothesis are given above.

Step 3: Determine the test statistic

Step 4: Determine the critical value - The critical value of the t-distribution can be found using a t-table or a calculator. Since this is a two-tailed test, the critical values will be tα/2, n-1 and -tα/2, n-1 where α/2 = 0.025/2 = 0.0125.The degrees of freedom are given by (n - 1) = (41 - 1) = 40.

Using the t-distribution table or a calculator, the critical values are:

t0.0125,40 = -2.704 and t0.9875,40 = 2.704

Step 5: Make the decision - Based on the computed test statistic and critical values, we can make the decision whether to reject or fail to reject the null hypothesis. Since this is a two-tailed test, we need to compare the absolute value of the test statistic with the absolute value of the critical value.t > t0.0125,40 or t < -t0.0125,40 => Reject the null hypothesis or fail to reject the null hypothesis

Substituting the values, we get:

|-2.2977| < 2.704. Hence, we fail to reject the null hypothesis.

Step 6: Draw a conclusion and interpret the decision - At a significance level of 0.025, there is not enough evidence to conclude that the new mean installation time is different from 6 minutes. Therefore, we fail to reject the null hypothesis. We can conclude that RodeTech's most popular computer program installation time has not changed significantly. Therefore, there is no need for RodeTech to change its advertising.

Thus, the main answer is D. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that the new mean installation time is different from 6 minutes and that RodeTech may need to change its advertising.

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Answer:

12

Step-by-step explanation:

of what means a division or a distribution

so this could mean percentage, a unit or just a number

to find a distributor we multiply and this should be the given equals number -6

Therefore we can find answer with applying multiply sign to get

-2 x - 6 = 12

As -12 / -2 means -2 of  12 = -6  

Answer:

48

Step-by-step explanation:

there are 16 cups in a gallon therefore you would multiply 16 times the number of gallons she uses which is 3 so 16 times 3 or you could do 16+16+16 which both would get you 48 so she would need 48 cups to make 3 gallons. hope this helps have a good rest of your night :)❤

Answer:

A.  Similar triangles must have the same shape, so the measures of the corresponding angles must be equal to each other.

Answer:

Option 3

Step-by-step explanation:

Answer: D. No, because the sample size is not less than 10% of the population size.

Step-by-step explanation: The total population is 200 people , and the sample is 30 people.
30/200= 0.15, which is 15%; therefore, the sample is more than 10% of the population, which Indicates that the conditions for a one sample z-interval have not been met.

The scale Denise used is as follows:

3 centimetres: 2 metres

Denise measured a community college and made a scale drawing. In real life, at the college is 122 meters long. it is 183 centimetres long in the drawing.

The scale of Denise use can be calculated as follows:

Using the proportional relationship,

3 / x = 183 / 122

cross multiply

122(3) = 183x

366 = 183x

divide both sides by 183

x = 366 / 183

x  = 2 metres.

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Answer:

Step-by-step explanation:

Answer:

This means that Martin needs to stand 22 more hours before reaching his goal.

Step-by-step explanation:

His goal is 500.

He already sold 258.

So 500 - 258 = 242.

He needs to sell 242 bars before he can reach his goal.

Since he can sell 11 bars per hour,

242 / 11 = 22.

-kiniwih426

Answer:

C

Step-by-step explanation:

you have the angle, adjacent and you want to find the hypotenuse

therefore use CAH - (I drew the triangle on the bottom of the attachment )

length of A / cos(angle) = hypotenuse

7 / cos(39)=9.007

Answer:

C: 9 to the nearest tenth

Step-by-step explanation:

You  have three choices on your calculator to solve this problem. Only 1 of the three will work.

Sin(39)

Tan(39)

Cos(39)

You want the hypotenuse (x) and you are given the adjacent side. The adjacent side is the other side that makes up the reference angle other than the hypotenuse.

Cos(theta) = adjacent side / hypotenuse.    The is the function you use.

Adjacent side = 7

Cos(39) = 7 / x               Multiply both sides by x

x * Cos(39) = 7               Divide by Cos(39)

x = 7 / Cos(39)

x = 9                               Isn't that neat? It is actually 9.0073. but C is the answer.

Answer:

the height of nick is 1.46

Step-by-step explanation:

because to change cm into m we need to divide it by 100so 18/100is 0.18

and total height of Peter is 1.64 so if we -the 0.18then we can get nick's height

Answer:

1.46

Step-by-step explanation:

1.64 to cm is 164

164-18 = 146

146 to meters is 1.46

These labels describe the Body Mass Index (BMI) of an individual. BMI is a measure of body fat based on height and weight.

Labels of weight status were added, such as under 18.5 = underweight, 18.5 to 24.9 = healthy, 25 to 29.9 = overweight, 30 or higher = obese.

BMI is used to determine whether an individual is a healthy weight for their height. Under 18.5 is classified as underweight. A BMI of 18.5 to 24.9 is considered a healthy weight, 25 to 29.9 is classified as overweight, and a BMI of 30 or higher is considered obese.

It is important to note that BMI is not an exact measure of body fat, and individuals with higher amounts of muscle mass may have a higher BMI. Therefore, BMI should be used as a guide to assess overall health and not as an absolute measure of body fat.

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Answer:

\(\cos(\theta)=\frac{4}{5}\)

Step-by-step explanation:

Step 1:

Let us find the missing side. We know this is a right triangle, so we can use the pythagorean thereom to find the last side. Let us set 12 as variable a, 20 as variable c, and the unknown side as variable b.

\(a^2+b^2=c^2\\12^2_b^2=20^2\\b^2=400-144\\b^2=256\\b=\pm16\)

We do know that a length can never be negative, so the side b would be 16.

Step 2:

According to SOHCAHTOA, cosine is utilizes the adjacent and hypotenuse of the given angle theta. Let us write the equation:

\(\cos(\theta)=\frac{adjacent}{hypotenuse} \\\\\cos(\theta)=\frac{16}{20} \\\\\cos(\theta)=\frac{4}{5}\)

I hope this helps! Let me know if you have any questions :)

Answer:

(-2.25, -0.5)

or (-2 1/4, -1/2)

or (-9/4, -1/2)

Step-by-step explanation:

The difference in x coordinate between point a and point b is 9 and y coordinate is 2.

Point a is lower and point b is higher, which means we need to multiply the difference between the coordinate x and y by 1/4 plus the coordinate of point a because pointt p is on the 1/4 segment a to b.

9 * 1/4 = 9/4 = 2.25

2 * 1/4 = 2/4 = 0.5

point a has the coordinate of ( -5, -1 )

-5 + 2.25 = -2.25

-1 + 0.5 = -0.5

the new coordinate should be (-2.25, -0.5)

or (-2 1/4, -1/2)

or (-9/4, -1/2)

Answer:

Option C. - (negative eleven-fourths, negative one-half)

Step-by-step explanation: edg 2023

A number of Appropriate Subsets of the Set: There are 2n - 1 appropriate subsets of the set for every n element in the set.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets.

A set is a mathematical model for a collection of various things.

A set with a single element is a singleton, while a set with no elements is an empty set.

A set can either be infinite or have a finite number of elements.

If all of the elements in two sets are identical, then the sets are equal.

The number of subsets of a set is 2n if the set has 'n' items.

A number of Appropriate Subsets of the Set: If a set has 'n' items, then 2n - 1 is the number of appropriate subsets of the set.

Therefore, a number of Appropriate Subsets of the Set: There are 2n - 1 appropriate subset of the set for every n element in the set.

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Correct question:

The number of distinct proper subsets of a set with n elements is ____.

Answer:

8

Step-by-step explanation:

78 - 6 = 72 (Since the number falls short by six)

72 ÷ 9 = 8 (Number times 9 that equals 72)

Answer:

Step-by-step explanation:

mean=sum of observations/number of observation

∴the mean number of pages she read=9+8+12+6+10/5

                                                               =45/5

                                                                 =9

                                      therefore she read 9 pages a day

Answer:

x = -1/3 or x = -4

Step-by-step explanation:

Answer:

x= \(\frac{-1}{3}\)

x= -4

Step-by-step explanation:

\(6x^2+28x-2=2x-10\)

Subtract 2x - 10 from both sides.

\(6x^2+26x+8=0\)

\(x= \frac{ -(26) +/ \sqrt{(26)^2-4(6)(8)} }{2(6)}\)

x= \(\frac{-26 +/\sqrt{676-4(6)(8)} }{2(6)}\)

x= \(\frac{-26 +/ \sqrt{676-192} }{2(6)}\)

x= \(\frac{-26+/\sqrt{484} }{2(6)}\)

x= \(\frac{-26+/22}{12}\)

x= \(\frac{-26+22}{12}\)  = -0.33333333333333 = -1/3

x= \(\frac{-26-22}{12}\)= -4

Answer:

x^2 + 6x + 8

Step-by-step explanation:

area of blue = x^2

area of pink= 2x

area of green=4x

area of brown=8

Adding all the area.

we get : x^2 + 6x +8

Answer: that equals 9

Step-by-step explanation:

The cost of one rose bush is $10 and the cost of one pot of ivy is $10.

Let's assume the cost of one rose bush is represented by "R" and the cost of one pot of ivy is represented by "I".

According to the given information:

Jaidee spent $140 on 2 rose bushes and 12 pots of ivy:

2R + 12I = 140 ...(1)

Beth spent $120 on 6 rose bushes and 6 pots of ivy:

6R + 6I = 120 ...(2)

We now have a system of two equations with two variables. To solve this system, we can use either substitution or elimination method. Let's use the elimination method.

Multiply equation (1) by 3 and equation (2) by 2 to make the coefficients of "R" in both equations equal:

6R + 36I = 420 ...(3)

12R + 12I = 240 ...(4)

Now, subtract equation (4) from equation (3):

(6R + 36I) - (12R + 12I) = 420 - 240

-6R + 24I = 180 ...(5)

Now we have a new equation (5) that relates "R" and "I".

Let's solve equations (5) and (2) together:

-6R + 24I = 180 ...(5)

6R + 6I = 120 ...(2)

Add equation (5) and equation (2):

(6R - 6R) + (24I + 6I) = 180 + 120

30I = 300

Divide both sides of the equation by 30:

I = 10

Now substitute the value of "I" into equation (2) to find the value of "R":

6R + 6(10) = 120

6R + 60 = 120

6R = 120 - 60

6R = 60

Divide both sides of the equation by 6:

R = 10

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The only valid solution is x = 5.

To solve the equation (2/(x + 2)) = (6/(x² - 4), we can start by simplifying the expression and then solving for x.

Let's go step by step:

1: Simplify the expression on the left side:

2/(x + 2) = 6/(x² - 4)

2: Cross-multiply to eliminate the fractions:

2(x² - 4) = 6(x + 2)

3: Expand and simplify:

2x² - 8 = 6x + 12

4: Rearrange the equation to bring all terms to one side:

2x² - 6x - 20 = 0

5: Factor the quadratic equation, if possible:

2(x² - 3x - 10) = 0

2(x - 5)(x + 2) = 0

6: Set each factor equal to zero and solve for x:

x - 5 = 0 or x + 2 = 0

This gives us two possible solutions:

x = 5 or x = -2

7: Check the solutions by substituting them back into the original equation:

Checking for x = 5:

2/(5 + 2) = 6/(5² - 4)

2/7 = 6/21

2/7 = 2/7

Checking for x = -2:

2/(-2 + 2) = 6/((-2)² - 4)

2/0 = 6/0

Since division by zero is undefined, x = -2 is not a valid solution.

Therefore, the only valid solution is x = 5.

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Answer:

abboga booga

Step-by-step explanation:

Answer:

n=3

Step-by-step explanation:

if we raise both sides to the power n we get

\(54x^{7}y^{3} = 3^{n}x^{2n}y^{n}*2x\)

so as you see \(y^{3} =y^{n}\) so n=3

By adding the squares of the triangle's two smaller sides and comparing the result to the square of a largest side, you may determine whether triangle is acute, obtuse, or right.

The equilateral triangle comes first. All three sides of this triangle are the same length, and each angle measures exactly 60 degrees. An equilateral triangle is Triangle A.

This triangle has two acute angles, which are angles smaller than 90 degrees in length, but one right angle (as well as angle which measures 90 degrees). A right triangle is triangle B.

The isosceles triangle is another. This triangle has two sides that are the same length.

The scalene triangle comes next. This triangle has three different lengths for its three sides.

The acute triangle is the next type of triangle and has three acute angles.

The obtuse triangle is the last triangle. Two of the angles of this triangle are sharp, and one of the angles is obtuse, which is defined as being more than 90 degrees.

Thus, by adding the squares of the triangle's two smaller sides and comparing the result to the square of a largest side, you may determine whether triangle is acute, obtuse, or right.

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The function f(x) = √(1 - sin(x)) is continuous for all real numbers x. It does not have any discontinuities in its domain.

To find the numbers at which the function f(x) = √(1 - sin(x)) is discontinuous, we need to identify any points in the domain of the function where there is a discontinuity.

The given function involves two components: the square root function (√) and the sine function (sin(x)).

1. Square Root Function:

  The square root function (√) is defined for non-negative real numbers. Therefore, the expression inside the square root, 1 - sin(x), must be greater than or equal to zero for the function to be defined.

2. Sine Function:

  The sine function (sin(x)) is periodic and oscillates between -1 and 1. It has points of discontinuity at values of x where the function approaches values outside this range.

Now, let's analyze the discontinuities of the function:

1. Discontinuity due to the Square Root:

  The expression inside the square root, 1 - sin(x), must be greater than or equal to zero to avoid taking the square root of a negative number. So we need to solve the inequality:

     1 - sin(x) ≥ 0

  Solving this inequality, we find that sin(x) ≤ 1. This condition holds for all real numbers x. Therefore, the square root component of the function does not introduce any discontinuities.

2. Discontinuity due to the Sine Function:

  The sine function (sin(x)) is continuous for all real numbers. It does not introduce any points of discontinuity.

Therefore, the function f(x) = √(1 - sin(x)) does not have any points of discontinuity in its domain, which includes all real numbers.

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Based on the number of bushels that the farmer has to sell, the equation that represents the total change in the number of bushels after seven days is 220 - 15⁵/₈(7).

The farmer has a total of 220 bushels of wheat to sell and then sells about 15⁵/₈ every day.

After 7 days, the total change in the number of bushels would be:

= Total bushels to be sold - Bushels of wheat already sold

= Total bushels to be sold - (Number of bushels sold per day x Number of days)
= 220 - 15⁵/₈(7)

= 110 bushels of wheat

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