Matt has two family members with the same birthday. So he makes two cakes and tops them with a total of 76 candles. One cake has 48 candles. How many candles are on the other cake?​

Answer:

no

Step-by-step explanation:

just plug them in and see if they're true :)

first equation:

\(10\geq 3(6) -10\)

\(10\geq 18-10\)

\(10\geq 8\)

its true!

second equation:

\(10<\frac{1}{2} (6)+7\)

\(10<3+7\)

\(10<10\)

its not true bc theyre equal!

hope this helps!

Answer:

The answer is 6

Step-by-step explanation:

Answer:

The Area of the given figure is 6 inch²

Step-by-step explanation:

For a given Trapezoid

side a = 1 ½ = 1.5 inch

side b = 2½ = 2.5 inch

height (h) = 3 inch

Now, Area of Trapezoid

A = ½ (a + b) × h

A = ½ (1.5 + 2.5) × 3 inch

A = ½ × 4 × 3 inch

A = 2 × 3 inch

A = 6 inch²

Thus, The Area of the given figure is 6 inch²

-TheUnknownScientist

Answer:

Step-by-step explanation:

B = 35      {Alternate interior angles}

C = 75      {Corresponding angles}

D + 75 =  180 {Linear pair}

     D = 180 - 75

     D = 105

A = C   {Corresponding angles}

A = 75

E = A   {Alternate interior angles}

E = 75

Answer: 14.9 feet

Step-by-step explanation:

To find the distance above the ground that the top of the ladder touches the wall, we can use the Pythagorean Theorem.

We can set up the equation as follows:

a^2 + b^2 = c^2

Where c is the length of the ladder (15 feet), a is the distance above the ground that the top of the ladder touches the wall, and b is the distance that the bottom of the ladder is from the wall (2 feet).

Substituting these values and solving for a, we get:

a^2 + 2^2 = 15^2

a^2 + 4 = 225

a^2 = 221

a = sqrt(221)

Rounding to the nearest tenth, we get a = 14.866 feet. This is the distance above the ground that the top of the ladder touches the wall.

Therefore, X = 14.9 feet.

Answer:

14.9

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \\ {2}^{2} + {b}^{2} = {15}^{2} \\ 4 + {b}^{2} = 225 \\ 4 - 4 + {b}^{2} = 225 - 4 \\ {b}^{2} = 221 \\ \sqrt{ {b}^{2} } = \sqrt{221} \\ b = 14.866 \\ b = 14.9\)

The value of N is 25, as the summation of numbers from -23 to 25 will give the sum of 49. This can be found using trial-error method or the arithmetic-progression sum law.

Given that the sum of all integers from -23 to N (including -23 and N) is 49.

Method I: We know that the sum of positive and negative numbers is zero. Therefore, sum of all numbers starting from -23 to +23 will give us 0. Then the next two terms 24 and 25 will give us result 49.

Therefore the series is -23, -22, -21,.......0, 1, 2,.........23, 24, 25.

Method II: -23, -22, -21, ........N forms an arithmetic progression series(A.P) as the common difference is +1.

first term a = -23

common difference d = 1

Sum of N terms = 49

Using formula, Sₙ =(n/2) [2a+ (n-1)d]

                       49 = (n/2) [2(-23) + (n-1)(1)]

                 49 x 2 = n [-46 + n - 1]

                       98 = n [-47 + n]

                       98 = -47n + n²

       n² - 47n - 98 = 0

On solving the quadratic equation, we'll get:

n² - 49n + 2n - 98 = 0 {using middle splitting term method}

n(n-49) + 2(n-49)  = 0

(n+2) (n - 49) = 0

n= -2 or n=49

The total number of terms are always positive, so there must be 49 terms to give the sum as 49.

Counting from -23, the 49th term will be 25. Last term of the series N= 25.

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Answer:

u has position brobjdidiodd

Answer:

24.8

Step-by-step explanation:

hope it help

have a nice day

In the context of measurement, accuracy and precision refer to two related but distinct concepts. Accuracy is the degree to which a measurement is close to the true value of what is being measured, while precision is the degree to which repeated measurements of the same quantity are close to each other.

The uncertainty of a measurement refers to the degree of doubt or lack of confidence in the result obtained from a measuring instrument. It is typically represented by an interval around the measured value that indicates the range within which the true value is likely to lie.

The accuracy of a measuring device is related to its ability to provide measurements that are close to the true value. If a measuring device is highly accurate, then its measurements will be close to the true value, and the uncertainty associated with those measurements will be relatively small. On the other hand, if a measuring device is not very accurate, then its measurements may be far from the true value, and the uncertainty associated with those measurements will be relatively large.

The precision of a measuring device is related to its ability to provide measurements that are close to each other when measuring the same quantity repeatedly. A measuring device that is highly precise will give measurements that are very close to each other, and the uncertainty associated with those measurements will be relatively small. Conversely, a measuring device that is not very precise will give measurements that are far apart, and the uncertainty associated with those measurements will be relatively large.

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Answer:

four sides

Step-by-step explanation:

can be rewritten in if-then form as If a polygon is a quadrilateral, then it has four sides. Write the converse of this statement: If a polygon is a quadrilateral, then it has four sides

(a-1) The value of the population mean is unknown.

(a-2) The best estimate of the population mean is the sample mean, which is 20 eggs.

(c) The value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) the 95% confidence interval for the population mean is approximately (17.902, 22.098).

(e-1) It would not be reasonable to conclude that the population mean is 17 eggs.

(e-2) It would be reasonable to conclude that the population mean is 18 eggs.

(a-1) The given information provides the sample mean (20 eggs) and the sample standard deviation (5 eggs), but it does not directly provide the population mean.

(a-2) In the absence of other information, the sample mean is a reasonable estimate of the population mean.

(c) For a 95% confidence interval, the value of t can be determined using the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, the sample size is 18, so the degrees of freedom is 18 - 1 = 17.

Using a t-distribution table or a statistical software, the value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) To determine the 95% confidence interval for the population mean, we can use the formula: Confidence interval = sample mean ± (t * standard error), where the standard error is the sample standard deviation divided by the square root of the sample size.

In this case, the sample mean is 20, the standard deviation is 5, the sample size is 18, and the value of t is 2.110. Plugging in these values, the confidence interval is 20 ± (2.110 * (5 / √18)), which evaluates to approximately 20 ± 2.098.

(e-1) The 95% confidence interval calculated in part (d) does not include 17 eggs, indicating that it is unlikely for the population mean to be 17 eggs.

(e-2) The 95% confidence interval calculated in part (d) includes 18 eggs, suggesting that it is plausible for the population mean to be 18 eggs.

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Answer:

Step-by-step explanation:

The answer is There are 3 gallons

Answer:

Martha started at 189 feet below sea level. She went up 790 feet to the top of the mountain, so her elevation was 790-189 = 601 feet above sea level. She then went down 254 feet, so her elevation is now 601-254 = 347 feet above sea level.

Here is the calculation in equation form:

```

Elevation = (Starting elevation) + (Ascent) - (Descent)

```

```

Elevation = 189 feet + 790 feet - 254 feet

```

```

Elevation = 347 feet

```

Answer: Martha is 347 ft above sea level.

Step-by-step explanation:

At first, she is -189 feet below sea level. She went up by 790 feet, bringing her to 690 feet above sea level. She descended by 254 feet and ended up at 347 feet above sea level.

Answer:

The answer is B. (3x+7)(2x-9)

Answer:(3x+7)(2x-9)

Step-by-step explanation:

Answer:

D)45,90 90 this is the answer

Answer:

C) 30, 60, 90

Step-by-step explanation:

all three angles must add up to 180

First term (a1) = -7

Second term (a2) = -2

Common difference: a2 - a1 = -2-(-7) = 5

Hence, Fifth term = a1 + 4d = -7 + 4(5) = 13

Answer:

a) n = 3

b) every 9 cm represents 175,000 km

Step-by-step explanation:

a) 20 min : 1 hour

Let's convert it into same units

⇒20 min : 60 min

÷ 20        ÷ 20

⇒ 1 : 3

So n = 3

b) 1 : 25,000

Which means every 1 cm on the map represents 25,000 km

And,

1 cm = 25,000 km

So,

9 cm = 25,000 × 9

9 cm = 175,000 km

So every 9 cm represents 175,000 km

Answer:

a) 3

b) 2.25 km

Step-by-step explanation:

a) 20 min : 1 hour = 1 : n

20 min : 60 min= 1 :3

n=3

b) 1: 25000 scale

1 mm : 25000 mm

9 cm = 90 mm

90 mm : 90*25000 mm

9 cm : 2250000 mm

9 cm : 2.25 km

when you make predictions about data that is not recorded, but falls between the data collected it is called Predictive analytic.

Data mining, predictive modeling, and machine learning are only a few of the statistical methods included in predictive analytics, which examine current and past data to anticipate future or otherwise unknowable occurrences.

Predictive models are used in business to detect risks and opportunities by making use of trends observed in historical and transactional data. In order to estimate the risk or potential associated with a certain set of variables and guide decision-making for possible transactions, models contain interactions among many different elements.

When we make a prediction about data is called predictive analytic.

But when it's not recorded it's called extrapolation.

But if it falls between data collected it called Predictive analytic.

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The correct answer is A. Standard deviation measures the dispersion or variability around the expected value or mean of a data set. It is a commonly used statistical measure to quantify the spread of data points.

Standard deviation is calculated by taking the square root of the variance. The variance is the average of the squared differences between each data point and the mean. By squaring the differences, negative values are eliminated, ensuring that the measure of dispersion is always positive.

A higher standard deviation indicates greater variability or dispersion of data points from the mean, while a lower standard deviation suggests that the data points are closer to the mean.

On the other hand, the mean (option B) is a measure of central tendency that represents the average value of a data set. It does not directly measure the dispersion or variability around the mean.

The coefficient of variation (option C) is a relative measure of dispersion that is calculated by dividing the standard deviation by the mean. It is useful for comparing the relative variability between different data sets with different scales or units.

The chi-square test (option D) is a statistical test used to determine if there is a significant association between categorical variables. It is not a measure of dispersion around the expected value.

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Step-by-step explanation:

the answer is 120 correct

Answer:

x = -4

Step-by-step explanation:

Find the zeros of a function by setting the function equal to zero.

Basically, solve for x when p(x) = 0. Thus:

\(0=x^3+2x^2-3x+20\)

↓ seperate to factor out \((x+4)\)

\(0=(x^3 -3x) + (2x^2 + 20)\)

↓ factor out \((x+4)\)

\(0 = (x + 4)(x^2 - 4x) + (x+4)(2x + 5)\)

↓ simplify by combining the right part of each term

\(0=(x+4)(x^2 - 4x + 2x + 5)\)

\(0=(x+4)(x^2 -2x + 5)\)

↓ split into two equations using the zero factor principle

  (if \(AB = 0\), then \(A = 0\) or \(B = 0\))

\(x + 4 = 0\)                   \(x^2 - 2x + 5 = 0\)

\(x = -4\)                      ↓ complete the square

                                \(x - 2x + 1 = -5 + 1\)

                                \((x-1)^2 = -4\)

                                \(x-1 = \sqrt{-4}\)

                                ↑  no real solutions from this equation (sqrt. of negative)

The average pH is equal to 7, according to the question.

A good balance of acidity and alkalinity is something that the human body is designed to do on its own. A crucial part of this process is played by the kidneys and lungs. On a scale of 0 to 14, where 0 is the most acidic and 14 is the most basic, a normal blood pH level is between 7.35 and 7.45.

According to the question,

Here null hypothesis is given,

H0= Hph = 7.0

Ha= Hph < 7.0

a) n= 6, t=-2.9, ∝=0.05

t>tc

Here statistic is greater than the absolute critical value

Hence, H0 is rejected

b) n=19 t=-3.5 ∝=0.01

t0.01,18 = -2.552

|t| > tc

True average ph>7

Here again absolute value of t is greater than critical value

Hence, H0 is rejected

c) t0.05,18 =-1.734

|t|> tc

Here, modulus is greater

Hence, H0 is rejected

d) n=5 t=0.9 ∝=0.05

t0.05,4= -2.132

|t|<tc

Here, absolute value is less than the critical value

Hence, H0 is accepted

Therefore, Average pH=7

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The volume of the sphere is approximately 972 cubic inches.

Option C is the correct answer.

We have,

The formula for the volume of a sphere.

V = (4/3)πr³

where r = radius of the sphere.

Since the diameter of the sphere is given as 18 inches, the radius is half of that, or:

r = 18/2 = 9 inches

Substituting this value into the formula, we get:

V = (4/3)π(9³) = (4/3)π(729) ≈ 972 cubic inches

Therefore,

The volume of the sphere is approximately 972 cubic inches.

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Answer:

B.) 3

Step-by-step explanation:

2x+y=5

3y+z=15

3z+2x=16

__________

4x+4y+4z=36 ( Added all the Equations)

x+y+z=9 (Divided by four)

Since we're trying to find the average, we have to add x, y, and z, and then divide by three (x is one, y is the second, and z is the third) because the average is the sum of all the numbers divided by the amount of numbers.

x+y+z=9

Average(x+y+z)=3

Answer: 106,000 dollars

Step-by-step explanation:

She paid 36,000 dollars as income tax and 60,000 on the rent property tax and 96,000 dollars + 10,000 dollars is 106,000 dollars.

Answer:

16/100 or simplified is 4/25

Step-by-step explanation:

Answer:

its F for the inequality to be true

The correct option regarding the 95% confidence interval for this problem is given as follows:

A. The confidence interval from the first simulation is (0.187, 0.237), and the confidence interval from the second simulation is (0.209, 0.261). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.187 and 0.237. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.209 and 0.261.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The parameters for the first simulation are given as follows:

\(n = 1000, \pi = \frac{212}{1000} = 0.212\)

Hence the lower bound of the interval is of:

\(0.212 - 1.96\sqrt{\frac{0.212(0.788)}{1000}} = 0.187\)

The upper bound is of:

\(0.212 + 1.96\sqrt{\frac{0.212(0.788)}{1000}} = 0.237\)

For the second simulation, the parameters are given as follows:

\(n = 1000, \pi = \frac{235}{1000} = 0.235\)

Hence the lower bound of the interval is of:

\(0.235 - 1.96\sqrt{\frac{0.235(0.765)}{1000}} = 0.209\)

The upper bound is of:

\(0.235 + 1.96\sqrt{\frac{0.235(0.765)}{1000}} = 0.261\)

This means that option A is the correct option.

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Answer:

B) \(\$8395.80\)

Step-by-step explanation:

\(A=P(1+rt)\\A=7996(1+0.06\cdot\frac{10}{12})\\A=7996(1+0.05)\\A=7996(1.05)\\A=\$8395.80\)

This is all assuming that r=6% is an annual rate, making t=10/12 years

The derivative of f(x) is: f'(x) = -24x * e^(x * ln(4.9)) * ln(4.9)/[(4.9^x)^2 * x^4]. To find the derivative of the function f(x) = 12 * 1 / (4.9^x) / x^2, we can use the quotient rule.

The quotient rule states that if we have two functions u(x) and v(x), the derivative of their quotient is given by:

(f/g)'(x) = (f'(x)g(x) - f(x)g'(x)) / [g(x)]^2

In this case, u(x) = 12 * 1 and v(x) = (4.9^x) / x^2. Let's find the derivatives of u(x) and v(x) first:

u'(x) = 0 (since u(x) is a constant)

v'(x) = [(4.9^x) / x^2]' = [(4.9^x)' * x^2 - (4.9^x) * (x^2)'] / (x^2)^2

To find the derivative of (4.9^x), we can use the chain rule:

(4.9^x)' = (e^(ln(4.9^x)))' = (e^(x * ln(4.9)))' = e^(x * ln(4.9)) * ln(4.9)

And the derivative of x^2 is simply 2x.

Now, let's substitute the derivatives into the quotient rule formula:

f'(x) = (u'(x)v(x) - u(x)v'(x)) / [v(x)]^2

      = (0 * [(4.9^x) / x^2] - 12 * 1 * [e^(x * ln(4.9)) * ln(4.9) * x^2 - (4.9^x) * 2x]) / [((4.9^x) / x^2)]^2

Simplifying this expression, we get:

f'(x) = -24x * [e^(x * ln(4.9)) * ln(4.9)] / [(4.9^x)^2 * x^4]

Therefore, the derivative of f(x) is:

f'(x) = -24x * e^(x * ln(4.9)) * ln(4.9) / [(4.9^x)^2 * x^4]

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