PLEASE HELP ME ASAP !!!!!!!!!!!!!!!!!

\(\\ \sf\longmapsto 3x+4x-1=90\)

\(\\ \sf\longmapsto 7x-1=90\)

\(\\ \sf\longmapsto 7x=90+1=91\)

\(\\ \sf\longmapsto x=\dfrac{91}{7}\)

\(\\ \sf\longmapsto x=13\)

Explanation

Step 1

let g represents the number of games

a)Taylor's Department Store sells games for $15.50 each.

then

traslate

Let:

cost=C

b) Buyer's Warehouse has an initial $25 membership fee, then each game is $12

I hope this helps you

Answer:

\(2\frac{3}{4}\)

Step-by-step explanation:

We have to subtract the weight of the cat from the weight of the dog.

\(8\frac{1}{4} -5\frac{1}{2}\)

The first issue here is that there is not a common denominator. I'm going to multiply that 1/2 by 2 to make it 2/4. The 5 does NOT change.

\(8\frac{1}{4} -5\frac{2}{4}\)

Subtract the whole numbers first.

\(8\frac{1}{4} -5\frac{2}{4} = 3\frac{1}{4} -\frac{2}{4}\)

Then, we'll convert the first term to an improper fraction. We can do that by multiplying the whole number by the denominator and adding that number to the numerator.

\(3\frac{1}{4} -\frac{2}{4} ==> \frac{13}{4} - \frac{2}{4}\)

Solve.

\(\frac{13}{4} -\frac{2}{4} = \frac{11}{4}\)

Then, convert to a mixed number by dividing 11 by 4 and leaving the remainder in the numerator and putting the quotient in front as the whole number.

\(\frac{11}{4} ==> 2\frac{3}{4}\)

So, the answer is \(2\frac{3}{4}\)

2 3/4

Steps

8 1/4 - 5 1/2

a. Find Common Denominator

8 1/4 - 5 2/4

b. Make Improper Fractions

8 × 4 + 1 = 33

33/4

5 × 4 + 2

22/4

c. Subtract

33/4 - 22/4 = 11/4

d. Simplify

11/4 = 2 3/4

e. Answer

Therefore, Priya's dog is 2 3/4 pounds heavier than the cat.

The normal approximation can be used in a two-sample test of proportions when the sample sizes are sufficiently large.

The rule of thumb is that each sample should have at least 10 successes and 10 failures. When these conditions are met, the sampling distribution of the difference in sample proportions can be approximated by a normal distribution with a mean equal to the difference in population proportions and a standard deviation calculated from the sample proportions. This approximation allows us to calculate probabilities and make inferences using the standard normal distribution. It is important to note that this approximation may not be accurate for small sample sizes, in which case exact methods such as the Fisher's exact test should be used instead. In summary, the normal approximation can be used in a two-sample test of proportions when the sample sizes are large enough and the conditions are met.

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The 68% interval for John's phone bills is:

Mean ± Standard Deviation = $92 ± $12 and The usual range for John's phone bill is:

Mean ± 2 x Standard Deviation = $92 ± 2 x $12.

a. The given information tells us that the amount of John's monthly cell phone bill has a bell-shaped distribution with a mean of $92 and a standard deviation of $12.

b. To find the percentage of John's phone bills that are less than $80, we need to calculate the z-score for $80 and use the Empirical Rule to find the corresponding percentage. The z-score can be calculated as:

z = (80 - 92) / 12 = -1.0

Using the Empirical Rule, we know that approximately 68% of the data falls within one standard deviation of the mean. Since the distribution is symmetric, we can split this 68% into two equal halves, with 34% falling below the mean and 34% falling above the mean. Therefore, the percentage of John's phone bills that are less than $80 is approximately:

34% / 2 = 17%

c. To find the 68% interval, we need to find the range of values that fall within one standard deviation of the mean. Using the Empirical Rule, we know that approximately 68% of the data falls within one standard deviation of the mean. Therefore, the 68% interval for John's phone bills is:

Mean ± Standard Deviation = $92 ± $12

which gives us an interval of $80 to $104.

d. The usual range for John's phone bill can be defined as the range of values that are within two standard deviations of the mean. Using the Empirical Rule, we know that approximately 95% of the data falls within two standard deviations of the mean. Therefore, the usual range for John's phone bill is:

Mean ± 2 x Standard Deviation = $92 ± 2 x $12

which gives us an interval of $68 to $116.

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The distance from the base of the stand to the campfire is 285.6 feet.

The angle of depression of 35 degrees.

Let's denote the distance from the base of the stand to the campfire as "x."

Since we know that,

The values of all trigonometric functions depending on the ratio of sides in a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

Using the tangent function, we have:

tan(35 degrees) = opposite/adjacent

tan(35 degrees) = 200/x

To find the value of x, we can rearrange the equation:

x = 200 / tan(35 degrees)

x ≈ 200 / 0.7002

x ≈ 285.6 feet

Therefore, the distance from the base of the stand to the campfire is 285.6 feet.

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Answer: 166 Soft Drinks

Step-by-step explanation:

250 ÷ 1.50 = 166

Answer:

the quotient of 100 and the sum of B and 24

Step-by-step explanation:

The word expression is: "the quotient of 100 and the sum of B and 24"

The algebraic expression is: 100 / (B + 24)

To evaluate this expression for the values 1, 6, and 13.5, we substitute each value in turn for B and simplify:

When B = 1:

100 / (1 + 24) = 100 / 25 = 4

When B = 6:

100 / (6 + 24) = 100 / 30 = 3.33...

When B = 13.5:

100 / (13.5 + 24) = 100 / 37.5 = 2.666...

Therefore, the values of the expression for B = 1, 6, and 13.5 are approximately 4, 3.33, and 2.67, respectively.

Answer:

Step-by-step explanation:

Cost of the job comprises of one of fee and hourly charge. Given:

Let C be the total cost, then required equation is:

Answer:

25t+75=cost of job

Step-by-step explanation:

X is distributed as normal with a mean of 2 and a standard deviation of 3, and Y is distributed as normal with a mean of 0 and a standard deviation of 4.

The sum of two independent normal random variables follows a normal distribution as well. The mean of the sum is the sum of the means of the individual variables, and the variance of the sum is the sum of the variances of the individual variables.

So, for X + Y, the mean would be:

μ_X+Y = μ_X + μ_Y = 2 + 0 = 2

And the variance would be:

σ^2_X+Y = σ^2_X + σ^2_Y = 3^2 + 4^2 = 9 + 16 = 25

Therefore, the standard deviation of X + Y would be:

σ_X+Y = √(σ^2_X+Y) = √25 = 5

Now, we have the mean (2) and the standard deviation (5) of X + Y. We can write the pdf of X + Y as follows:

f(x) = (1 / (σ_X+Y * √(2π))) * exp(-(x - μ_X+Y)^2 / (2 * σ_X+Y^2))

Substituting the values, we get:

f(x) = (1 / (5 * √(2π))) * exp(-(x - 2)^2 / (2 * 5^2))

Simplifying further:

f(x) = (1 / (5 * √(2π))) * exp(-(x - 2)^2 / 50)

Therefore, the probability density function (pdf) of X + Y is given by:

f(x) = (1 / (5 * √(2π))) * exp(-(x - 2)^2 / 50)

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a) 3logx = 1The equation can be rewritten as: logx³ = 1logx = 1/3

The restriction is that x > 0 since the logarithm function is only defined for positive values of x.

b) log₂(x+3) + log₂(x-3) = 4

Using the law of logarithms that states that log(a) + log(b) = log(ab),

we can rewrite the equation as:

log₂[(x+3)(x-3)] = 4log₂(x²-9) = 4log₂(x²-9) = log₂(16)

Squaring both sides: x² - 9 = 16x² = 25x = ±5

Note that x cannot be equal to 3 since the original equation would become log₂(0),

which is undefined.

Thus, the restriction is x ≠ 3.c) 3(4^(3x-2)) = 1923(4^(3x-2)) = 4²(3)(4^(3x-2)) = 4^(2+1) + 3x - 2

Using the law of exponents that states that a^(m+n) = a^m * a^n,

we can rewrite the equation as: 3(4^2 * 4^3x-2) = 4^3 + 3x - 2

Simplifying: 48 * 4^3x-2 = 61 + 3x48 * 4^3x-2 - 3x = 61

Since 48 is divisible by 3 and 61 is not, there is no integer solution to the equation.

There are solutions that involve non-integer values, but they do not satisfy the original equation, so there are no restrictions.

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The probability of choosing  a shade of blue and carpet is 1/6 greater than that of choosing a shade of yellow and wood flooring.

The total number of possible paint colors Daria can choose is 5 shades of blue + 2 shades of yellow + 2 shades of purple = 9 shades

The total number of flooring options Daria can choose from is carpet or wood = 2 options

The probability of choosing a shade of blue is 5/9 and the probability of choosing carpet is 1/2. So, the probability of choosing a shade of blue and carpet is (5/9) * (1/2) = 5/18.

The probability of choosing a shade of yellow is 2/9 and the probability of choosing wood flooring is 1/2. So, the probability of choosing a shade of yellow and wood flooring is (2/9) * (1/2) = 2/18

The probability of choosing a shade of blue and carpet is 5/18, and the probability of choosing a shade of yellow and wood flooring is 2/18. So, the probability of choosing a shade of blue and carpet is (5/18) - (2/18) = 3/18 or 1/6 greater than the probability of choosing a shade of yellow and wood flooring.

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Answer:

c

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation:

To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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Using the bootstrap method, the 15-year spot rate (yield to maturity) is calculated as approximately 8.45%. For a 15-year bond with a 10% coupon rate paid semiannually and a face value of $100, the value can be determined by discounting the future cash flows using the spot rate. The value of the bond would be approximately $98.18.

The bootstrap method involves using known spot rates to estimate the unknown spot rate for a specific maturity. Given the zero rates of 8% for a 6-month investment and 8.3% for a 1-year investment, we can calculate the 15-year spot rate. We need to find the semiannual spot rate for a 15-year period. Assuming continuous compounding, we can use the following formula:

Spot rate for 15 years = \([(1 + spot rate for 1 year)^2 * (1 + spot rate for 6 months)^3]^1/15 - 1\)

Plugging in the values, we have \([(1 + 0.083)^2 * (1 + 0.08)^3]^1/15 - 1 = 0.0845\), or approximately 8.45%.

For a 15-year bond with a 10% coupon rate paid semiannually and a face value of $100, we can calculate its value by discounting the future cash flows. Each coupon payment would be $5 (10% of $100) every 6 months for a total of 30 coupon payments. At the end of 15 years, the bondholder will also receive the face value of $100. Discounting these cash flows using the 15-year spot rate of 8.45%, we can calculate the present value and find the value of the bond to be approximately $98.18.

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Answer:

\(gy78093 x^{2} 67\)

Step-by-step explanation:

Answer:

u has position brobjdidiodd

The mean absolute deviation for the data set is 51.5. The mean absolute deviation is a measure of how spread out the data is from the mean. To find it, we first need to find the deviation of each data point from the mean:
Deviation from mean = data point - mean
So, for the data set {419,450,462,499,520,521,589,612} with a mean of 509:
Deviation from mean for 419 = 419 - 509 = -90
Deviation from mean for 450 = 450 - 509 = -59
Deviation from mean for 462 = 462 - 509 = -47
Deviation from mean for 499 = 499 - 509 = -10
Deviation from mean for 520 = 520 - 509 = 11
Deviation from mean for 521 = 521 - 509 = 12
Deviation from mean for 589 = 589 - 509 = 80
Deviation from mean for 612 = 612 - 509 = 103
Next, we need to find the absolute value of each deviation:
Absolute deviation from mean = |deviation from mean|
So, for the same data set:
Absolute deviation from mean for 419 = |-90| = 90
Absolute deviation from mean for 450 = |-59| = 59
Absolute deviation from mean for 462 = |-47| = 47
Absolute deviation from mean for 499 = |-10| = 10
Absolute deviation from mean for 520 = |11| = 11
Absolute deviation from mean for 521 = |12| = 12
Absolute deviation from mean for 589 = |80| = 80
Absolute deviation from mean for 612 = |103| = 103
To find the mean absolute deviation, we need to find the average of all these absolute deviations:
Mean absolute deviation = (90 + 59 + 47 + 10 + 11 + 12 + 80 + 103) / 8
Mean absolute deviation = 412 / 8
Mean absolute deviation = 51.5
Therefore, the mean absolute deviation for this data set is 51.5 (rounded to the nearest tenth).
To calculate the mean absolute deviation, first find the mean of the given data set:
(419 + 450 + 462 + 499 + 520 + 521 + 589 + 612) / 8 = 4072 / 8 = 509
Now, subtract the mean from each data point and take the absolute value of the differences:
|419 - 509| = 90
|450 - 509| = 59
|462 - 509| = 47
|499 - 509| = 10
|520 - 509| = 11
|521 - 509| = 12
|589 - 509| = 80
|612 - 509| = 103
Next, find the mean of these absolute differences:
(90 + 59 + 47 + 10 + 11 + 12 + 80 + 103) / 8 = 412 / 8 = 51.5

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Answer:

55 minutes

Step-by-step explanation:

add 35 to 11:25 should equal to 12AM then add 20 to it should give you the answer of 12:20AM combining the 35 and 20 should give you 55

Answer:

55 Minutes

Step-by-step explanation:

Assuming the start time is on the previous day, the time between 11:25:00 PM and 12:20:00 AM is:

0 hour, 55 minutes, and 0 second

0.917 hour

55 minutes

3,300 seconds

Hope this helps!

Answer:

Ss={}

Step-by-step explanation:

6x^2+1<or=0

6x^2<or=-1

x^2<or=-1/6

x<or=root-1/6

There is no number that satisfiey this equation

SS={}

Answer:

no solution

Step-by-step explanation:

The measure of <1 is 147 degree.

Given:

m∠2 = 12x - 15

m∠7 = 3x + 21

Since angles 2 and 7 are alternate Exterior angles, they are congruent.

So, 12x - 15 = 3x + 21

12x - 3x = 21 + 15

9x = 36

x = 4

So, <2 = 12x - 15= 48 - 15 = 33

Now, <1 + <2 = 180 (Linear Pair)

<1 + 33 = 180

<1 = 147 degree

Thus, the measure of <1 is 147 degree.

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Answer: (x+5)(x+2)^2

Step-by-step explanation: Expanding (x+5)(x+4)(x+4) gives:

(x+5)(x+4)(x+4) = x(x+4)(x+4) + 5(x+4)(x+4)

= x^2(x+4) + 4x(x+4) + 5x(x+4) + 20(x+4)

= x^3 + 4x^2 + 5x^2 + 20x + 16x^2 + 80x + 20x + 80

= x^3 + 9x^2 + 45x + 80

Fully simplifying this expression gives:

x^3 + 9x^2 + 45x + 80 = (x+5)(x^2+4x+16)

= (x+5)(x+2)^2

Hello bcastorena190!

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

One angle of an isosceles triangle measures 40°. Which other angles could be in that isosceles triangle?

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

So, an isosceles triangle is a triangle which has :-

For, this question, we only need to use the condition of 2 equal angles.

Let's take a look at the question. It's given that, 1 angle is 40°. We know that an isosceles triangle has 2 equal angles, so 1 other angle will also be 40°. Now, let's take the 3rd missing angle as x°. In a triangle, according to the angle sum property we know that all the 3 angles in a triangle will sum up to 180°. So, using this property...

\(40 + 40 + x = 180 \\ 80 + x = 180 \\ x = 180 - 80 \\ \underline{ \underline{ x = 100}}\)

The 3rd angle is 100°.

So, the 3 angles in the isosceles triangle are ⇨ 40°, 40° & 100°.

__________________

Picture credits :- https://www.twinkl.com.mx/teaching-wiki/isosceles-triangle

__________________

Hope it'll help you!

ℓu¢αzz ッ

___________

\( \: \)

40° + 40° + x = 180°

40° × 2 + x = 180°

80° + x = 180°

x = 180° - 80°

x = 100°

The coordinate of the point R' after translation will be (0, - 4).

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

If ∆PQR is translated left 2 and down 6. Then the translation rule is given as,

(x', y') → (x - 2, y - 6)

From the graph, the coordinate of point R will be at (2, 2). Then the coordinate of the point R' after translation will be

(x', y') → (2 - 2, 2 - 6)

(x', y') → (0, - 4)

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There is enough evidence to suggest p>0.5

What is hypothesis in statistics?

A type of statistical analysis called hypothesis testing involves testing your presumptions regarding a population parameter. It is used to estimate the relationship between 2 statistical variables.

Thus, a hypothesis is a set of possible explanations or resolutions applicable to a situation. In other words, the hypotheses pose different scenarios in which the aim is to explain the origin and eventual resolution of the problem.

Let's discuss few examples of statistical hypothesis from real-life -

We are testing :

H0: p <= 0.5

H1: p > 0.5

Test statistic:

Z = [(364/562) - 0.5] / √[0.5(1-0.5)] / 562

= 7.00

P-value = P(Z>7.00) = 0.0000

Hence, there is enough evidence to suggest p>0.5.

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Answer:

m<R=10

Step-by-step explanation:

180=11x-5+6x+5+x

=18x

x=10