Select the correct answer.
Fiona has to plot a histogram of the given data.

82, 83, 89, 67, 65, 88, 66, 69, 83, 81, 94, 68, 82, 69, 86, 83, 88, 62, 64, 93

Which frequency table should she use for the histogram?
A.
Interval 60-70 70-80 80-90 90-100
Frequency 8 0 10 2
B.
Interval 56-63 63-70 70-77 77-84 84-91 91-98
Frequency 1 7 0 5 5 2
C.
Interval 50-70 70-80 80-85 85-90 90-100
Frequency 8 0 6 4 2
D.
Interval 60-75 75-90 90-105
Frequency 8 10 2

The predicted weight of the material after 12 weeks is given as follows:

20.67 grams.

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The points for this problem are given as follows:

(0, 100), (1, 88.3), (2, 75.9), (3, 69.4), (4, 59.1), (5, 51.8), (6, 45.5).

Inserting these points into an exponential regression calculator, the equation is given as follows:

\(y = 100(0.8769)^x\)

Hence the predicted weight after 12 weeks is given as follows:

\(y = 100(0.8769)^{12}\)

y = 20.67 grams.

The problem is given by the image presented at the end of the answer.

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Answer:

Step-by-step explanation:

(2/3)^-1 = 3/2

Have the 2 and 3 change places.

The photos are similar because the enlarged photo is 1.5 times the size of the original photo.

What is meant by similarity transformations?

Similarity transformations turn items in space into similar objects. If two items have the same shape or have the same shape as their mirror images, they are said to be similar. More specifically, by uniformly scaling (enlarging or decreasing), maybe with additional translation, rotation, and reflection, one can be created from the other. This indicates that one object may be properly aligned with the other object by rescaling, moving, and reflecting it. When two things are comparable to one another, one is consistent with the outcome of a specific uniform scaling of the other.

Here the initial dimension of the photo is  5" by 7" and after enlarging it has dimensions 7.5" by 10.5".

The scale factor is = 7.5/5 = 10.5/7 = 1.5

Since the scale factor is constant for all sides, the pictures before and after enlargement are similar.

Therefore the photos are similar because the enlarged photo is 1.5 times the size of the original photo.

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The option that shows the inverse's graph (with the correspondent domain and range) is option a.

Remember that for a function:

f(x) = y

The inverse f⁻¹(x) is defined as:

f⁻¹(y) = x

Here the original function is defined by the relation:

x: -1,  1,  3, 5, 7

y: 4, 2, 1, 0, 1

Then for the inverse function, the domain and range are:

x: 4, 2, 1, 0, 1

y: -1, 1, 3, 5, 7

Then the domain is 0 ≤ x ≤ 4

And the range is -1 ≤ y ≤ 7

the option with these two is a, so that is the correct option.

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The figure labelled JKLM is a kite and the length ML is equal to 11.

A kite is a quadrilateral that have two pairs of equal length of sides and these sides are adjacent to each other. It can be viewed as a pair of congruent triangles with a common base.

The line JM bisects the kite into two congruent triangles, and thus;

the lengths ML and MK are equal.

ML = 5x - 4 and MK = 2x + 5 so;

5x - 4 = 2x + 5 {collect like terms}

5x - 2x = 5 + 4

3x = 9

x = 9/3 {divide through by 3}

x = 3

we substitute 3 for x;

ML = 5(3) - 4

ML = 15 - 4

ML = 11

Therefore, the value of length ML for the kite is equal to 11.

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Answer: Word problem: Mya goes to a carnival and buys food for her and her friends.  She buys 5 funnel cakes that were $20 each. She buys 10 buckets of popcorn that were 8 dollars each.

Regular problem: $20+$15+$20+$100+$25=180

Step-by-step explanation: I didn't know what you needed. I'm sorry if that's not it, but hope it helps.

Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

The value of the cosine of the angle of (a - b) will be 0.80.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

It is a function that repeats itself in a particular time interval.

Suppose that sin(a) = 4/6 and cos(b) = 1/5.

Then the value of 'a' is given as,

sin(a) = 4/6

sin(a) = 2/3

a = 41.81°

Then the value of 'b' is given as,

cos(b) = 1/5

b = 78.46°

Then the value of the cosine of the angle of (a - b) will be given as,

⇒ cos(41.81° - 78.46°)

⇒ cos(-36.65°)

⇒ cos 36.65°

⇒ 0.80

The value of the cosine of the angle of (a - b) will be 0.80.

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The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.

From the given table;

The volume of the first gas Layla bought = 3 gallons.

The cost of the 3 gallons = 9.45

Therefore the cost of 1 gallon = ?

That is:

3 gallons = $9.45

1 gallon = X

Make X the subject of formula:

X = 9.45/3 = $3.15

Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.

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Answer:

x=25+30=55 since the vertically opposite angle are equal.sorry the no is not clear in question

Answer:

\(\boxed{\tt x= 45^{\circ}}\)

Step-by-step explanation:

∠BEG and ∠DEB combine to form ⇒ ∠DEG, which is a vertical angle with ∠x because it's the opposite from ∠x.

(Vertical angles are always congruent, or of equal measure)

So, \(\tt \angle BEG +\angle DEB=\angle x\)

\(\tt \angle BEG +\angle DEB=\angle x\)

\(\tt 25^{\circ}+20=x\)

\(\tt 45^{\circ}=x\)

\(\tt x= 45^{\circ}\)

_____________________________

Answer:

  (3, 2)

Step-by-step explanation:

The solution is identified by the coordinates of the point of intersection of the two lines. That point is 3 units right of the y-axis and 2 units up from the x-axis.

  (x, y) = (3, 2)

The solution is (3, 2).

Answer:

-7

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

|13-15|=|-2|=2

|-5|=5

2-5=-3

The money Jena will have after buying a set of markers in algebra expression is y = 15 - x.

Arithmetic operations like subtraction, addition, division, multiplication, and exponentiation are used to combine variables and integers to produce any algebraic expression. A variable, a number, or a variable and number with an exponent as a product can all be used as the phrase.

Cost is the amount of money spent by a business to produce or create goods or services.

The cost of one set of markers is x dollars.

Now Jen has a total of $15.

Then, the amount of money "y" Jena will have after buying one set of markers will be:

y = 15 - x

Hence, the algebraic expression after buying one set of markers is y = 15 - x.

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Answer:

87/10

is already in the simplest form. It can be written as 8.7 in decimal form (rounded to 6 decimal places).

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 87 and 10 is 1

Divide both the numerator and denominator by the GCD

87 ÷ 1

10 ÷ 1

Reduced fraction:  

87 /10

Therefore, 87/10 simplified to lowest terms is 87/10.

Hope this helps!

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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Answer:

\(r \geqslant - 16\)

Step-by-step explanation:

\( \frac{ - 10 + r}{2} \geqslant - 13\)

multiply both sides by 2:

\( - 10 + r \geqslant - 26\)

add 10 on both sides:

\(r \geqslant - 16\)

Answer:

\(r \ge -16\)

Step-by-step explanation:

To solve any equation/inequality:

1. get the variable to show up exactly once

2. isolate it

\(\frac{-10+r}{2} \ge -13\)

Multiply both sides by 2 and simplify (note that we're multiplying by a positive, not a negative, so the direction of the inequality stays the same, whereas multiplying or dividing by a negative would have changed the direction of the inequality)

\(\frac{-10+r}{2} *2 \ge -13 *2\)

\(-10+r \ge -26\)

Add 10 to both sides, and simplify

\((-10+r)+10 \ge (-26)+10\)

\(r \ge -16\)

Answer:

-16

Step-by-step explanation:

8q

Let q = -2

8*-2

-16

The complex numbers graphed on the plane are given as follows:

Complex numbers are number that are divided into a real part and an imaginary part, according to the definition given as follows:

z = a + bi.

In which:

On the complex plane, we have that:

As the number z1 has a horizontal coordinate of 3 and a vertical coordinate of 0, it is given as follows:

z1 = 3 + 0i.

As the number z2 has a horizontal coordinate of 0 and a vertical coordinate of -2, it is given as follows:

z2 = 0 - 2i.

As the number z3 has a horizontal coordinate of -2 and a vertical coordinate of 1, it is given as follows:

z3 = -2 + i.

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Step-by-step explanation:

To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5

Answer:

Salad: $ 6

Pizza: $ 11

Step-by-step explanation:

Pizza = p

Salad = s

a) 2p + 4s = 46

b) 5p + 9s = 109

a) -5(2p + 4s= 46) = -10p-20s=-230

b) 2(5p + 9s = 109) = 10p + 18s = 218

Add both equations:

(-10p-20s= -230) + (10p + 18s = 218)

-2s = -12

s = 6

a) 2p + 4(6)=46

2p + 24 = 46

2p = 46-24

p = 22/2

p = 11

The prize of a salad is $6.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Let p be the price of a pizza and s be the price of a salad.

Given that,

Two pizzas and four salads cost $46.

2p + 4s = 46 [Equation 1]

Five pizzas and nine salads cost $109.

5p + 9s = 109 [Equation 2]

5 × [Equation 1] - 2 × [Equation 2] gives,

5(2p + 4s) - 2 (5p + 9s) = (5 × 46) - (2 × 109)

10p + 20s - 10p - 18s = 230 - 218

2s = 12

s = 6

Hence the price of a salad is $6.

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Question One:A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.

Question Two: , the raw score is relatively lower than the mean.

If a raw score corresponds to a z-score of 1.75, it tells us that the raw score is 1.75 standard deviations above the mean of the distribution. In other words, the raw score is relatively higher than the mean. The z-score provides a standardized measure of how many standard deviations a particular value is from the mean.

A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.

Question Two:

If a raw score corresponds to a z-score of -0.85, it tells us that the raw score is 0.85 standard deviations below the mean of the distribution. In other words, the raw score is relatively lower than the mean. The negative sign indicates that the raw score is below the mean.

To understand the meaning of a z-score, it is helpful to consider the concept of standard deviation. The standard deviation measures the average amount of variability or spread in a distribution. A z-score allows us to compare individual data points to the mean in terms of standard deviations.

In the case of a z-score of -0.85, we can conclude that the raw score is located below the mean and is relatively lower compared to the rest of the distribution. The negative z-score indicates that the raw score is below the mean and is within the lower portion of the distribution. This suggests that the raw score is relatively smaller or less than the average value in the distribution.

By using z-scores, we can standardize and compare values across different distributions, allowing us to understand the position of a raw score relative to the mean and the overall distribution.

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Answer:

102

Step-by-step explanation:

hope this helps

Answer:

2+24+40+39-(33-30)

105-33+30

135-33

132

The multiples of 5 and 6 based on the information have been illustrated below.

It should be noted that a multiple is a number that can be divided by another number without a remainder.

Here, the multiples of 5 will be:

5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...

In this case, the multiples of the numbers have been illustrated.

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Given data:

The two terms are given distance formula and mid point.

1)Distance formula gives the length whereas mid point formula tell us about the location of the point.

2)Distance formula tell us how much one point away from other on the other hand mid point exactly lie in the centre between the given point.

3)

The expression for the distance formula is,

The expression for mid point is,

Answer:

  0 +256i

Step-by-step explanation:

According to Euler's formula, ...

  (4 cis π/8)^4 = (4^4) cis (4×π/8) = 256 cis π/2 = 0 +256i

_____

"cis" is an abbreviation sometimes used for "cosine + i×sine". It simplifies writing the expression. Engineers sometimes simplify it further, writing 4∠(π/8) for the expression in this problem statement.

Answer:

-6,-2

Step-by-step explanation:

you just have to look i think its right

The value of x in degrees will be 6° and 11° using properties of parallel lines.

They are typically equal-distance, parallel straight lines. The lines here are parallel. They never come together no matter how far you extend them in any one way.

Pairs of equal-sized angles that are both obtuse or acute and are generated on the same side of the transversal are known as corresponding angles. Each pair of comparable angles on the same side of the crossing transversal is equal to the other.

The alternative angle theorem states that alternate interior angles or alternate exterior angles that come from cutting two parallel lines are congruent.

In the above figure,

8x + 7 = 55

8x  = 55 - 7

x = 6

Measure of the angle will be 8 × 6 + 7 = 49

In 11)

10x + 10 = 9x + 21 (by using first corresponding angles and then alternate angles)

⇒x = 11

The value of x in degrees will be = 11° using properties of parallel lines.

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Answer:12/56 ot 3/14

Step-by-step explanation:

There are 2 possible scenarios.

1 If the person wears the shirt and puts it in the laundry, not the closet, the answer will be

   4/8 for the first blue shirt multiplied by 3/7 for the second blue shirt since one blue shirt has been used and not

   returned to the closet. The final answer would be 12/56 or 3/14.

2  If the person wore the shirt then returned it to the closet and then chose a different blue shirt, the probability would

   be 4/8 * 3/8. There are 3 different blue shirts that he hasn't worn yet but since you returned the shirt to the closet,

   There are still 8 shirts to choose from. The final answer would be 12/64 or 3/16.

Your teacher probably meant the first case, but the problem really isn't stated clearly enough. I hope you can see the difference in the 2 cases.