x divided by 4=.25 what is X

a. The teacher can expect the batteries to last at least 92.09 days  on minimum average.

b. The teacher will need to spend at most $49.92 on batteries for calculators over the year.

What is minimum average day?

a. The margin of error of ‡9% means that we can be 95% confident that the true average number of days the batteries will last is within 9% of the sample average. To find the minimum average number of days a teacher can expect to have the batteries last in her classroom, we subtract the margin of error from the sample average:

Minimum average = 101 - (0.09)(101) = 92.09 days (rounded to two decimal places)

Therefore, the teacher can expect the batteries to last at least 92.09 days on average.

What is spend ?

b. The total number of batteries required for the 24 TI-84 calculators is:

24 calculators x 4 batteries per calculator = 96 batteries

The total cost of the batteries will be:

96 batteries x $0.52 per battery = $49.92 (rounded to two decimal places)

Therefore, the teacher will need to spend at most $49.92 on batteries for calculators over the year, assuming all batteries need to be replaced.

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Answer:

1.8

Step-by-step explanation:

Answer:

The measure of CD is 46

Step-by-step explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)

Now,

\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)

Answer:

Z score is a statistical that corresponds to the standarization of the regular score to a normal dsitribution

The formula for Z score is Z = [X - mean ]./ (standar deviation)

Here X = 930.00; mean = 900.00; and standard deviation = 15.00

Then, Z = [930.00 - 900.00] / 15.00 = 30.00 / 15.00 = 2.00

Answer: 2.00

Step-by-step explanation:

Answer:

the area of the shape is 48m

Step-by-step explanation:

10*4=40

2*4=8

40+8=48

brake it up into two triangles. one is a triangle that is 10m tall and 8m wide at the top. you can solve that by doing 4*10=40. the other triangle is 4m wide at the bottom and 2m tall. you can solve that by doing 2*4=8. and 40+8=48.

Answer:

3

Step-by-step explanation:

just do (-1/2) x (-6) where the negatives cancels out and half of 6 is 3

Brainilist Maybe?

The slope of the line is 7/9

It is important to note that the equation of a line is represented as;

y = mx + c

Where;

The formula for calculating the slope of a line is expressed as;

Slope, m = y₂ - y₁/x₂ - x₁

Now, let's substitute the values into the formula from the points given we have;

Slope, m =1 -(-6)/ -3 - (-6)

expand the bracket

Slope, m = 1 + 6/ 3 + 6

add the values

Slope, m = 7/9

Hence, the value is 7/9

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Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

If I helped, please make this answer brainliest! ;)

Answer:

22° + m<C = 90°

Step-by-step explanation:

We are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.

We want to write an equation that will help us solve <C.

Recall that vertical angles are congruent by vertical angles theorem.

This means that <A ≅ <B; it also means that the measure of <B is also 22°.

Also recall that complementary angles add up to 90°.

This means that m<B + m<C = 90°.

Since we deduced that m<B is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for <C is:

22° + m<C = 90°

Answer:

1.

90+27

2.

90 = 9 x 10

3.

27 = 9 x 3

4.

So apply the distributive property would be:

90 + 27 = 9(10 + 3)

Step-by-step explanation:

Answer:

The greatest common factor of 90 and 27 is 9.

Using the distributive property , you could write: 9(10 + 3)

Answer:

f⁻¹(x) = 4x + 7

Step-by-step explanation:

To get the inverse of a given function, first isolate the x term of the equation by using the inverse operations on both sides to cancel them out:

y = (x - 7) / 4

×4 ×4

(multiplicative property of equality)

4y = x - 7

+7 +7

(addition property of equality)

4y + 7 = x

(symmetric property)

x = 4y + 7

______________

Then swap the x, and y variables to get the inve se / your inverse function will be in terms of the equation you started with. Given that y = f(x), f(x) = (x - 7) / 4.

x = 4y + 7 → y = 4x + 7 → f⁻¹(x) = 4x + 7 .

Also keep in mind that for a function to be an inverse function of another, it must satisfy this composite rule:

f( f⁻¹(x) ) = x and f⁻¹( f(x) ) = x .

We can verify that they are inverses by substituting both of our equations into this rule:

f( f⁻¹(x) ) = 4 ( f⁻¹(x) ) + 7 = 4 ( ( x - 7 ) / 4 ) + 7 = ( x - 7 ) + 7 = x ✓

f⁻¹( f ( x ) ) = ( f ( x ) - 7 ) / 4 = ( 4x + 7 - 7 ) / 4 = 4x / 4 = x ✓

Since this matches the rule,

(x - 7) / 4 and 4x + 7 are true inverses.

Answer: To find out whether Maya hiked more than 3 kilometers in all, we need to add the lengths of the two trails and compare the sum to 3 kilometers.

The length of the first trail is 1 and 1-third kilometers, which can be written as:

1 + 1/3 = 4/3 kilometers

The length of the second trail is 1 and 2-fifths kilometers, which can be written as:

1 + 2/5 = 7/5 kilometers

Adding these two lengths, we get:

4/3 + 7/5 = (20/15) + (21/15) = 41/15 kilometers

To compare this to 3 kilometers, we need to convert 3 kilometers to the same unit as the sum of the two trail lengths, which is kilometers. We can write 3 kilometers as:

3 = 45/15 kilometers

Now we can compare the two values:

41/15 kilometers < 45/15 kilometers

Since the sum of the two trail lengths is less than 3 kilometers, Maya did not hike more than 3 kilometers in all.

Answer:

The ratio of blue balloons to the total number of balloons is 1:2.

Answer:b

Step-by-step explanation:

Answer ↣ C

Solution ↧

Gasoline A ↬ 20.20 / 10 = $2.02 per gal.

Gasoline B ↬ 26.04 / 12 = $2.17 per gal.

Gasoline C ↬ 28.14 / 14 = $2.01 per gal.

Gasoline D ↬ 30.45 / 15 = $2.03 per gal.

Gasoline C is the least expensive option.

Let me know if this is right! :)

After considering the given data we come to the conclusion that the length of AB is 12.124 units, under the condition that A (-3, 5) and B (4, -2) are the given coordinates.

The distance between two points in a plane can be found using the distance formula which is an application of the Pythagorean theorem. The formula is given by d=√ ( ((x₂ – x₁ )² + (y₂ – y₁ )²)

Here (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Applying the given coordinates of A (-3, 5) and B (4, -2), we can evaluate the distance between them as follows:

d = √( (4 - (-3))² + (-2 - 5)² )

 = √(7² + (-7)²)

 = √(98 + 49)

 = √147

 = 12.124

Therefore, the length of AB is approximately 12.124 units.

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Answer:

25

Step-by-step explanation:

Answer:

110%

Step-by-step explanation:

During final exam, 172 students visited the math lab in total.

4 out of 11 were male. It means, females are 11-4 = 7. So, the percentage of female students who visited the math lab is :

\(F=\dfrac{7}{11}\times 172\\\\F=109.4\%\\\\=110\%\)

Hence, this is the required solution.

Answer:

\(p = 2\) if given vectors must be linearly independent.

Step-by-step explanation:

A linear combination is linearly dependent if and only if there is at least one coefficient equal to zero. If \(\vec u = (1,1,2)\), \(\vec v = (1,p,5)\) and \(\vec w = (5,3,4)\), the linear combination is:

\(\alpha_{1}\cdot (1,1,2)+\alpha_{2}\cdot (1,p,5)+\alpha_{3}\cdot (5,3,4) =(0,0,0)\)

In other words, the following system of equations must be satisfied:

\(\alpha_{1}+\alpha_{2}+5\cdot \alpha_{3}=0\) (Eq. 1)

\(\alpha_{1}+p\cdot \alpha_{2}+3\cdot \alpha_{3}=0\) (Eq. 2)

\(2\cdot \alpha_{1}+5\cdot \alpha_{2}+4\cdot \alpha_{3}=0\) (Eq. 3)

By Eq. 1:

\(\alpha_{1} = -\alpha_{2}-5\cdot \alpha_{3}\)

Eq. 1 in Eqs. 2-3:

\(-\alpha_{2}-5\cdot \alpha_{3}+p\cdot \alpha_{2}+3\cdot \alpha_{3}=0\)

\(-2\cdot \alpha_{2}-10\cdot \alpha_{3}+5\cdot \alpha_{2}+4\cdot \alpha_{3}=0\)

\((p-1)\cdot \alpha_{2}-2\cdot \alpha_{3}=0\) (Eq. 2b)

\(3\cdot \alpha_{2}-6\cdot \alpha_{3} = 0\) (Eq. 3b)

By Eq. 3b:

\(\alpha_{3} = \frac{1}{2}\cdot \alpha_{2}\)

Eq. 3b in Eq. 2b:

\((p-2)\cdot \alpha_{2} = 0\)

If \(p = 2\) if given vectors must be linearly independent.

Answer:

x = 4

Step-by-step explanation:

x -2 = -3x + 14  Add 3xs to both sides of the equation

4x - 2 = 14  Add 2 to both sides of the equation

4x = 16 Divide both sides by 4

x = 4

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

\(\textsf{The given problem instructs us to simplify for the variable x.}\)

\(\textsf{\textbf{The first step is to add 2 to both sides:}}\)

\(.\qquad\leadsto\sf{x=-3x+\textbf{16}}\)

\(\textbf{The next step is to add 3x to both sides:}\)

\(.\qquad\leadsto\sf{4x=\textbf{16}}\)

\(\textsf{\textbf{The final step is to divide both sides by 4:}}\)

\(.\qquad\leadsto\sf{x=4}\)

\(\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star\)

The equation of the line perpendicular to 7x+5y = 4 is y = 5/7(x) -15/7. The equation of the line parallel to 7x+5y = 4 is  y = -7/5(x) -53/5

Given that: the line is perpendicular/parallel to the line 7x+5y = 4 and it passes through (−4,-5)

The slope-intercept form of a straight line is:

y = mx + c

where m is the slope and c is the y-intercept

For perpendicular case:

When the two lines are perpendicular, the product of their slope is -1 i.e.

m₁ x m₂ = -1

where m₁ and m₂ represent the slope of the lines

Let the slope of the given line be m₁ and the slope of the unknown line be m₂

Line1(given):

7x+5y = 4  => y = (-7/5)x + 4/5

Thus,  m₁ = -7/5

m₁ x m₂ = -1

-7/5 x m₂ = -1

m₂= 5/7

Line 2(unknown) with the point (−4,-5):

y = mx + c

-5 = 5/7 (-4) + c

-5 = -20/7 + c

c = -15/7

Thus, the equation of the line is y = 5/7(x) -15/7

For parallel case:

When the two lines are parallel, they have equal slope i.e. m₁ = m₂

Line1(given):

7x+5y = 4  => y = (-7/5)x + 4/5

Thus,  m₁ = -7/5

m₂= -7/5

Line 2(unknown) with the point (−4,-5):

y = mx + c

-5 = -7/5(-4) + c

-5 = 28/5 + c

c = -53/5

Thus, equation of the line is y = -7/5(x) -53/5

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The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;

\(y = 10^{16}\)

y = 10,000,000,000,000,000.

y = x² - 17x + 182

y = 16² - 17(16) + 182

y = 256 - 272 + 182

y = 166.

\(y = 1.17^x\\\\y = 1.17^{16}\)

y = 12.330304108137675851908392069373.

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The regular pay amount for the first week of July is $344

The overtime pay amount for the first week of July is $193.50

The gross pay amount for the first week of July is $537.50

Overtime hours = Total hours Sam worked - Total regular hours

= 55 - 40

= 15 hours

Amount Sam earn per hour for regular hours = $8.60

Total regular pay amount = Total regular hours × Amount Sam earn per hour for regular hours

= 40 × $8.60

= $344

Amount Sam earn per hour for overtime hours = $8.60 × 1.5

= $12.90 per overtime hour

Total overtime pay amount = Overtime hours × Amount Sam earn per hour for overtime

= 15 × $12.90

= $193.50

Total gross pay = Total regular pay amount + Total overtime pay amount

= $344 + $193.50

= $537.50

In conclusion, the regular, overtime and gross pay of Sam for the first week of July is $344, $193.50 and $537.50 respectively.

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Answer:

- Min Z = $400C + $200A

Step-by-step explanation:

The linear programming model deals with the minimization or maximization of a linear function of several variables and inequalities. This method assists the industries in minimizing costs and maximizing production.

In the given situation,

The Linear programming model would be:

Min Z = $400C + $200 A

which is based on:  

150 mg of vitamin K in corn C + 250 mg of vitamin K in AlfaAlfa  ≥ 500

75 mg of iron in Corn + 50 mg of iron in AlfaAlfa ≥ 400

∵ C, A ≥ 0

Thus, the equation would be,

Min Z = $400C + $200 A

Answer:

Step-by-step explanation:

Cost of 3 oranges = cost of 54 oranges / 18

Answer:

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

Step-by-step explanation:

The graph is shifted 4 to the right and 1 up. When a graph is moving left or right, the sign switches. Right means -, left means +.

The equation of the blue graph is g(x)  = (x+4)² - 2

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

x+4 because adding 4 to the x coordinate would shift it over 4

y+2 because adding 2 to the y coordinate would shift it up 2

⇒ g(f(x)) = ( x+4, y +2 )

⇒ g(x) + 2 = (x+4)²

Hence, the equation of the blue graph is g(x)  = (x+4)² - 2

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Answer:

x + 8

Step-by-step explanation:

Let the missing number be x

According to question,

x + 8

The number of standard deviations from the mean that include all

data values is two.

From the gathering of information, we will see that the minimum worth is $19.95 and also the most worth is $29.95. So , we would like to seek out the amount of normal deviations, let's decision it "a" , such that\(\overline x $\color \ - a\cdot\sigma \le 19.95}\) and   \(\overline x $\color \ +a\cdot\sigma \geq 29.95}\)

Use the given values of mean  \(\overline x\) and normal deviation (σ) to notice the worth of "a".

         \(\overline x $\color \ - a\cdot\sigma \le 19.95}\\25.07\ - 2.62a \leq 19.95\\5.12\leq 2.62a\\1.9541\leq a\)

On rounding off we get a = 2

Checking another inequality

         \(\overline x $\color \ + a\cdot\sigma \geq 29.95}\\25.07 \ + 2(2.62) \geq 29.95\\25.07 + 5.24 \geq 29.95\\30.31\geq 29.95\)

Thus , 2 standard deviation include the all values from the given set of data .

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