A grocery store clerk can scan 1 product every 1/2 of a second. At what rate can she scan products?

x =14

Answer:

\( m\angle ABC = 51°\)

Step-by-step explanation:

11. By inscribed angle theorem:

\( 83°=\frac{1}{2} \times (9x+40)°\\\\

83°\times 2 = (9x+40)°\\

166°= (9x+40)°\\

166 = 9x + 40\\

166 - 40 = 9x\\

126 = 9x\\\\

x = \frac{126}{9}\\\\

\huge \red {\boxed {x = 14}} \)

12. Again by inscribed angle theorem:

\( (5x+11)°=\frac{1}{2} \times (16x-26)°\\\\

2\times (5x+11)°= (16x-26)°\\

(10x+22)°= (16x-26)°\\

10x + 22 = 16x - 26\\

22+26 = 16x - 10x\\

48= 6x\\\\

x = \frac{48}{6}\\\\

\huge \purple{\boxed {x = 8}}\\

m\angle ABC = (5x+11)°\\

m\angle ABC = (5\times 8+11)°\\

m\angle ABC = (40+11)°\\

\huge \orange{\boxed {m\angle ABC = 51°}} \\

\)

Answer:

Step-by-step explanation:

Proportional relationship means,

x ∝ y

x = ky

\(\frac{x}{y}=k\) where 'k' is the proportionality constant.

From table (1),

\(\frac{1}{5}=\frac{2}{9}\neq \text{Constant}\)

Therefore, relationship is not proportional.

From table (2),

\(\frac{1}{6}=\frac{3}{18}=\text{constant}\)

True.

So the relationship will be proportional.

From table (3),

\(\frac{\text{hours}}{\text{Miles}}= \frac{2}{110}=\frac{5}{175}=\frac{1}{55}\)

Which is constant.

Therefore, relationship will be proportional.

From table (4),

\(\frac{\text{Hours}}{\text{Paid}}=\frac{3}{29.25}=\frac{5}{48.75}=0.103\)

Which is constant for every term.

Therefore, relationship will be proportional.

Answer:

the base of the triangle is 15.5 ft

Step-by-step explanation:

A= h x b/2

62 ft = 8 × b/2

62/8 = b/2

7.75 = b/2

7.75 x 2 = b

15.5 = b

The rule for the total number of flowers is f(c) = 9c

From the question, we have the following parameters that can be used in our computation:

9 flowers in each centerpiece

This means that

centerpiece = 9 flowers

For c centerpieces, we have

f(c) = 9 * c

Evaluate

f(c) = 9c

Hence, the rule is f(c) = 9c

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Given:

The table of data values.

To find:

What is the percentage of 10th grade students are in 2 clubs.

Solution:

From the given table it is clear that the number of 10th grade students are in 2 clubs is 12.

Total number of students in 10th grade is:

\(125+12+15=152\)

Now, the percentage of 10th grade students are in 2 clubs is:

\(\text{Required percentage}=\dfrac{\text{Number of 10th grade students are in 2 clubs}}{\text{Total number of students in 10th grade}}\times 100\)

\(\text{Required percentage}=\dfrac{12}{152}\times 100\)

\(\text{Required percentage}=\dfrac{1200}{152}\)

\(\text{Required percentage}\approx 7.89\%\)

Therefore, the percentage of 10th grade students are in 2 clubs is 7.89%.

Answer:

y=3

Step-by-step explanation:

Step 1: Cross-multiply.

14/3y+5=3/y

14*y=3*(3y+5)

14y=9y+15

Step 2: Subtract 9y from both sides.

14y−9y=9y+15−9y

5y=15

Step 3: Divide both sides by 5.

5y/5=15/5

y=3

9514 1404 393

Answer:

  y = -3x +26

Step-by-step explanation:

We assume the given line is ...

  y = -3x +5

This is in slope-intercept form:

  y = mx +b

where m = -3 and b = 5.

The parameter m represents the slope of the line. A parallel line will have the same slope, so will be of the form ...

  y = -3x +b

We can find the value of b using the given point:

  8 = -3(6) +b

  26 = b . . . . . . add 18

So, the equation of the parallel line through (6, 8) is ...

  y = -3x +26

As our sample size is large and grade point average follows normal curve, we use parametric test.

The normal curve is a statistical measurement which refer that the available data presented in a large number close to the mean value.

The test is used to determine an approximate value of a set of data.

hence, we use parametric test for determining an approximate value.

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answer

their are 4 10.25 and 4 10.50 and 4 11.00 and 2 11.25 and

Step-by-step explanation:

ok so you just need to put those on the line plot

The percentage of winners driving a Chevrolet who won with an average speed of at least miles per hour is fifty percent (50%).

We can infer that for a Chevrolet car,

the percentage of average speed (in miles/hour) for the range of 150-159.9 is 25%,

the percentage of average speed (in miles/hour) for the range of 160-169.9 is 18.75%,

and the percentage of average speed (in miles/hour) for the range of 170-179.9 is 6.25%.

Thereby, the percentage of winners of the race who were driving a Chevrolet and had an average speed of at least 150 miles/hour is,

50%.

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For the given problem, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\)  is  \($\sin^{-1}\frac{x}{a} + C$.\)

A mathematical notion that depicts the area under a curve or the accumulation of a quantity over an interval is known as an integral. Integrals are used in calculus to calculate the total amount of a quantity given its rate of change.

The process of locating an integral is known as integration. Finding an antiderivative (also known as an indefinite integral) of a function, which is a function whose derivative is the original function, is what integration is all about. The antiderivative of a function is not unique since it might differ by an integration constant.

For given problem,

\($\int \frac{1}{\sqrt{a^2-x^2}} dx$\)

Let \($x = a \sin\theta$\) , then \($dx = a \cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2-a^2\sin^2\theta}} a\cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2\cos^2\theta}} a\cos\theta d\theta$\)

\($= \int d\theta$\)

\($= \theta + C$\)

Substituting back for\($x = a\sin\theta$:\)

\($= \sin^{-1}\frac{x}{a} + C$\)

Therefore, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)

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Answer:

24, 26, 28

Step-by-step explanation:

The final number is 78

first we can divide 78/3= 26

so 26+26+26= 78

we can leave the middle 26 but we can give 2 from the first number to the last number

24+26+28=78

(This might be wrong but i tried my best)

Answer:

y=4

Step-by-step explanation:

x=y-8

-x-y=0

-(y-8)-y=0

Distribute the negative

-y+8-y=0

Combine the like terms

-2y+8=0

-8 (to both sides)

-2y=-8

Divide by -2

y=4

On solving the provided question, we got -  0.001 is a stronger significance level,

any of a product's characteristics taken into account in respect to a certain characteristic. especially: a term's constant component as opposed to its variable. a value that represents a quality or attribute by a number (as of a substance, device, or process)

Whenever a variable is multiplied, a coefficient is used. In this case, "z" is a variable, making 6 a coefficient. 6z stands for 6 times z. Coefficient 1 applies to variables without a value.

0.001 is a stronger significance level, It means that the probability of error for the statistic is greater than 5 in 100, therefore the researchers concluded that the research is not statistically significant.

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Answer:

I also think 62 correct me if I'm wrong

By applying elements of the set concept, it can be concluded that:

(a) Yes, 3 ∈ {3}

(b) There are 1 element in the set {3, 3, 3, 3, 3}

(c) There are 2 elements in the set {0, {0}}

(d) Yes, {0} ∈ {{0}, {1}}

(e) No, 0 ∉ {{0}, {1}}

A set is a well-defined collection of distinct objects or elements. It means that there is no ambiguity or confusion regarding the inclusion or exclusion of any element in the set.

A set denoted by: {a,b,c,d} has 4 elements, where a,b,c, and d are distinct elements.

Now we apply this concept to the question:

(a) Yes, 3 is an element of the set {3}, or mathematically written: 3 ∈ {3}

(b) There are 1 element in the set {3, 3, 3, 3, 3} because a set cannot have duplicate elements, so the repeated 3s are not counted as different elements.

(c) There are 2 elements in the set {0, {0}}, the first element is the number 0, and the second element is the set {0}.

(d) Yes, {0} is an element of the set {{0}, {1}}, or mathematically written: {0} ∈ {{0}, {1}}

(e) No, 0 is not an element of the set {{0}, {1}}, or mathematically written: 0 ∉ {{0}, {1}}

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Full question:

(a) is 3 ∈ {3}?

(b) how many elements are in the set {3, 3, 3, 3, 3}?

(c) how many elements are in the set {0, {0}}?

(d) is {0} ∈ {{0}, {1}}?

(e) is 0 ∈ {{0}, {1}}?

Answer:

\({ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}\)

The z-values for the given situations are approximate:

a. The area to the left of z is 0.1827. z = -0.90

b. The area between −z and z is 0.9830. z = 2.17

c. The area between −z and z is 0.2148. z = 0.85

d. The area to the left of z is 0.9997. z = 3.49

e. The area to the right of z is 0.6847. z= -0.48

a. For an area of 0.1827 to the left of z, the corresponding z-value can be found using a standard normal distribution table or a statistical calculator. The z-value is approximately -0.90.

b. To find the z-value for an area between -z and z equal to 0.9830, we need to find the value that corresponds to (1 - 0.9830)/2 = 0.0085 in the upper tail of the standard normal distribution. Using the table or calculator, the z-value is approximately 2.17.

c. Similarly, for an area between -z and z equal to 0.2148, we find the value that corresponds to (1 - 0.2148)/2 = 0.3926 in the upper tail. The z-value is approximately 0.85.

d. For an area of 0.9997 to the left of z, we find the value that corresponds to 0.9997 in the upper tail. The z-value is approximately 3.49.

e. To find the z-value for an area to the right of z equal to 0.6847, we find the value that corresponds to 1 - 0.6847 = 0.3153 in the upper tail. The z-value is approximately -0.48.

In summary, the z-values for the given situations are approximate:

a. -0.90

b. 2.17

c. 0.85

d. 3.49

e. -0.48

These values can be used to determine the corresponding percentiles or probabilities for the standard normal distribution. The values are typically found using standard normal distribution tables or statistical calculators that provide the cumulative probability distribution function (CDF) for the standard normal distribution.

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Answer:

7 bracelets & 10 rings

Step-by-step explanation:

I sadly don’t have the explanation because I’m trying to find it but I only have the answer

Answer:

1247.03

Step-by-step explanation:

if £1=$1.35

?=$125(crisscross them to get an answer.)

$125×£1÷$1.35=£92.59

if £1=$1.35

?=$6(crisscross to get an answer.)

$6×£1÷$1.35=£4.44

so you add them all up

£1150+£4.44+£92.59= £1247.03

Answer:

126.19%

Step-by-step explanation:

Answer:

Your answer is (B.) because 2 times 5 is 10. 4 times 5 is 20. and 6 times 5 is 30, these make proportional relationships.

Step-by-step explanation: hope this help

Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

Answer:

I think it is +2. I hope this helps.!

Step-by-step explanation:

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

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The equation's answer is x = 7.5. 4x - 1 2 = x + 7.

x = 1 is the answer to the problem 3x + 2 = (2x + 13) 3.

a) To solve the equation 4x - 1 ÷ 2 = x + 7, we need to isolate the variable x. Let's follow the steps:

1: Distribute the division operation to the terms inside the parentheses.

  (4x - 1) ÷ 2 = x + 7

2: Divide both sides of the equation by 2 to isolate (4x - 1) on the left side.

  (4x - 1) ÷ 2 = x + 7

  4x - 1 = 2(x + 7)

3: Distribute 2 to terms inside the parentheses.

  4x - 1 = 2x + 14

4: Subtract 2x from both sides of the equation to isolate the x term on one side.

  4x - 1 - 2x = 2x + 14 - 2x

  2x - 1 = 14

5: Add 1 to both sides of the equation to isolate the x term.

  2x - 1 + 1 = 14 + 1

  2x = 15

6: Divide both sides of the equation by 2 to solve for x.

  (2x) ÷ 2 = 15 ÷ 2

  x = 7.5

Therefore, x = 7.5 is the solution to the equation 4x - 1 ÷ 2 = x + 7. However, note that this answer is not an integer, so it may not be valid for certain contexts.

b) To solve the equation 3x + 2 = (2x + 13) ÷ 3, we can follow these steps:

1: Distribute the division operation to the terms inside the parentheses.

  3x + 2 = (2x + 13) ÷ 3

2: Multiply both sides of the equation by 3 to remove the division operation.

  3(3x + 2) = 3((2x + 13) ÷ 3)

  9x + 6 = 2x + 13

3: Subtract 2x from both sides of the equation to isolate the x term.

  9x + 6 - 2x = 2x + 13 - 2x

  7x + 6 = 13

4: Subtract 6 from both sides of the equation.

  7x + 6 - 6 = 13 - 6

  7x = 7

5: Divide both sides of the equation by 7 to solve for x.

  (7x) ÷ 7 = 7 ÷ 7

  x = 1

Hence, x = 1 is the solution to the equation 3x + 2 = (2x + 13) ÷ 3.

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The probability of landing on yellow is less than the probability of landing on blue

Probability is the likelihood of a desired event happening.

Since there are one orange, two purple, two yellow, and three blue and the spinner divided into eight equal colored sections.

Thus, we can write the probabilities as follow:

probability of orange = 1/8

probability of purple = 2/8 = 1/4

probability of yellow = 2/8 = 1/4

probability of blue = 3/8

Therefore, the probability of landing on yellow is less than the probability of landing on blue is the true statement

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Answer:

its $125

thank me later <3

The cost of labor, per hour, will be equal to $125.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Tristan needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4.75 hours and charged him $50 for parts.

The cost for labor per hour is,

TC = 50 + 4.75x

643.75 = 50 + 4.75x

x = ( 643.75 - 50) / 4.75

x = $125

Therefore, the cost of labor, per hour, will be equal to $125.

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I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Since the ratio of the black to red is 3: 5

Then the total of the ratio is 3 + 5 = 8

Since there are 16 pieces left

By using the ratio method

black: red: total

3. : 5 : 8

x. : y : 16

By using cross multiplication

x x 8 = 3 x 16

8x = 48

Divide both sides by 8 to find x

x = 6

Since x represents the black left

The answer is 6 black left