Solve it please!

-2f - 7(-8f + 3)

Tape diagrams are rectangular models used for multiplication and division model.

The equation is 8n = 32, and the value of n is 4.

The given parameters are:

\(Students = 32\)

\(Groups = 8\)

So, the equation is

\(Students = Groups \times n\)

Where n is the number of student in each group.

So, we have:

\(32 = 8\times n\)

\(32 = 8n\)

Divide both sides by 8

\(4 = n\)

Rewrite as:

\(n = 4\)

See attachment for the tape diagram

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Answer:

Step-by-step explanation:

Perimerter is 9.6ft

(a) Mrs Jeya gave 30 stickers to Group B on Tuesday. (b) Mrs Jeya bought a total of 126 stickers.

(a) Let's first calculate the number of stickers Mrs Jeya had remaining after giving 1/4 of the stickers to Group A. If she had 72 stickers remaining, it means that 3/4 of the original number of stickers is equal to 72. We can set up the equation:

(3/4) * x = 72

To solve for x, we multiply both sides of the equation by 4/3:

x = (72 * 4) / 3 = 96

So Mrs Jeya initially had 96 stickers.

Now, on Tuesday, she gave 5/12 of the remaining stickers to Group B. We know that the remaining number of stickers after giving to Group A was 72. Let's calculate the number of stickers she gave to Group B:

(5/12) * 72 = 30

Therefore, Mrs Jeya gave 30 stickers to Group B on Tuesday.

(b) To determine how many stickers Mrs Jeya bought, we need to add up the stickers she gave to Group A, the stickers she gave to Group B, and the remaining stickers.

Stickers given to Group A: 1/4 * 96 = 24

Stickers given to Group B: 30

Remaining stickers: 72

Total stickers = Stickers given to Group A + Stickers given to Group B + Remaining stickers

              = 24 + 30 + 72

              = 126

Therefore, Mrs Jeya bought a total of 126 stickers.

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Circumference = πd, where d = diameter

we know the wheel has a diameter of 27 inches, so the total circumference is 27π, and that's the arc length of one revolution.

there are 5280 feet in 1 mile and 12 inches in 1 foot.

so in 40 miles there are 40(5280)(12) inches.

and we also know that there are 60 minutes in 1 hour.

\(\cfrac{40~miles}{hour}\implies \cfrac{~~ \frac{40(5280)(12)~in}{27\pi ~\frac{in}{rev}}~~}{60~minutes}~~\approx ~~\cfrac{29878.688~rev}{60~minutes}~~ \approx ~~497.978~\frac{rev}{minute}\)

Step-by-step explanation:

according to the drawing,

for x = 0 => y = 12

the coordinates of y-intercept : (0, 12)

so, y = f(0) = 12

The correct answer is 12 only

The values of the variables and numbers in radical form are presented as follows;

43a) x > -5

40a) a > 0

44b) x < 0

47e) x > 0

43b) x = The set of all real numbers

44a) The set of all numbers

45 a) x = 14

45 b) x = 0

45 c) x = -1

45 d) x = -4

45 e) x = 1

42 d)x = 5/196

9 e) x = 4

9 f) x = 8

9 a) √(0.6/36) ≈ 0.13

9 h) √((4 - 10)/(0.01)) = i·10·√6

A radical also known as a root is represented using the square root or nth root symbol and is the opposite of an exponent.

43 a) \(\sqrt{x + 5}\)

x + 5 > 0

Therefore, x > -5

40a) ∛a

a > 0

44b) √(-5·x)³

-5·x < 0

x < 0

47e) √(13 - (13 - 2·x))

(13 - (13 - 2·x)) > 0

13 > (13 - 2·x)

0 > -2·x

x > 0

43b) √|x| + 1

x = All real numbers

44 a) √(-2·x)²

√(-2·x)² = -2·x

x = Set of all numbers

45 a) √(x - 5) = 3

(x - 5) = 3² = 9

x = 9 + 5 = 14

45b) √(2·x + 4) = 2

2·x + 4 = 2²

2·x = 2² - 4 = 0

x = 0/2 = 0

45c) √(x·(x + 1)) = 0

(x·(x + 1)) = 0

(x + 1) = 0

x = -1

45 d) √(x + 5) = -1

(x + 5) = (-1)²

x + 5 = 1

x + 5 = 1

x = 1 - 5 = -4

x = -4

45e) √x + x² = 0

√x = -x²

(√x)² = (-x²)² = x⁴

x  = x⁴

1 = x⁴ ÷ x = x³

x = ∛1 = 1

x = 1

42d) \(\sqrt{\dfrac{5}{x} } +3= 17\)

\(\sqrt{\dfrac{5}{x} }= 17-3 =14\)

\(\dfrac{5}{x} }=14^2=196\)

\(x = \dfrac{5}{196}\)

9e) \(\sqrt{\dfrac{4}{x} } = 1\)

\(\dfrac{4}{x} } = 1^2\)

x × 1² = 4

x = 4

19f) ∛x - 2 = 0

∛x = 2

x = 2³ = 8

9a) \(\sqrt{\dfrac{0.6}{36} }\)

\(\sqrt{\dfrac{0.6}{36} }\) = \(\sqrt{\dfrac{1}{60} }= \dfrac{\sqrt{15}}{30} \approx 0.13\)

9h) \(\sqrt{\dfrac{4-10}{0.01} }\)

\(\sqrt{\dfrac{4-10}{0.01} }\)= √(-600) = √(-1)·√(600) = i·10·√6

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The number line represents all possible numbers of signatures Ali could collect is Number line A.

We have,

Ali currently has 520 signatures.

Now, number of signatures Ali need

= 1,000 - 520

= 480

So, the possible number depending on how many weeks he wants to spend getting signatures.

480/6 = 80

480/5 = 96

480/4 = 120

480/3 = 160

480/2 = 240

480/1 = 480

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Fractions are referred to as the components of a whole in mathematics. A single object or a collection of objects might be the entire. 1/2 is the fraction of the box of chocolates did Seth and to eat together.

Fractions are referred to as the components of a whole in mathematics. A single object or a collection of objects might be the entire. If we cut a piece of cake in real life from the entire cake, the part represents the percent of the cake. The word "fraction" is derived from Latin. "Fractus" means "broken" in Latin.  The fraction was expressed verbally in earlier times. It was afterwards presented in numerical form. 1/2 is the fraction of the box of chocolates did Seth and to eat together.

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Answer:

Divide the volume by the product of the length and width to calculate the height of a rectangular object. For this example, the rectangular object has a length of 20, a width of 10 and a volume of 6,000. The product of 20 and 10 is 200, and 6,000 divided by 200 results in 30. The height of the object is 30.

Step-by-step explanation:

lol i dont know if this is correct

it will take 12 months for Muhammad's account balance to surpass Connor's, assuming they continue to deposit amount at the same rate. After 12 months, Muhammad's balance will be $950 ($158 + $59x) and Connor's balance will be $896 ($74 + $66x).

To solve this problem, we can start by finding the monthly difference in their deposits:

Muhammad: $59/month

Connor: $66/month

Since Muhammad's monthly deposit is lower than Connor's, we need to find out how many months it will take for Muhammad's balance to catch up to and surpass Connor's. We can set up an equation to represent this situation:

$158 + $59x = $74 + $66x

where x is the number of months elapsed.

We can simplify and solve for x:

$158 + $59x - $74 - $66x = 0

$84 - $7x = 0

$7x = $84

x = 12

Therefore, it will take 12 months for Muhammad's account balance to surpass Connor's, assuming they continue to deposit money at the same rate. After 12 months, Muhammad's balance will be $950 ($158 + $59x) and Connor's balance will be $896 ($74 + $66x).

the complete question is :

Muhammad has $158 in his bank account and deposits $59 per month into his account. Connor has $74 in his bank account and deposits $66 per month into his account. If Muhammad and Connor continue to deposit money into their accounts at the same rate, how long will it take for Muhammad's account balance to surpass Connor's?

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Answer:

48 wings

Step-by-step explanation:

12:3 is the ratio. So multiply both of it by 4. Then it would be 48:12

Answer:

48 chicken wings

Step-by-step explanation:

If Bao can eat 12 chicken wings in 3 minutes and 12 minutes is 3 minutes times 4, then the answer would be 12 chicken wings times 4, so 12 times 4, which is 48, so the answer would be 48 chicken wings.

The probability of selecting 2 red marbles and 1 blue marble is equal to the probability of selecting 1 red marble from Jar A and the other two blue marbles from Jar B and Jar C. Simplifying the expression gives the numerator and denominator of the probability, which is the quotient of the numerator and denominator of the simplified expression.

The probability of selecting 2 red marbles and 1 blue marble is equivalent to the probability of selecting 1 red marble from Jar A and the other two blue marbles from Jar B and Jar C. To simplify the expression, the numerator and denominator of the simplified expression are (r(a-r)st + abct - r(a-r)b(t+s) - a(t+s)st)/(a(b+c-t-s)). The probability for selecting exactly 2 red marbles is the quotient of the numerator and denominator of the simplified expression. The above solution explains how to determine the probability that exactly 2 of the 3 marbles you select are red.

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Mendelian genetics uses probability pedigrees and chi-square statistics to study the patterns of inheritance of traits. Probability pedigrees are diagrams to calculate chance of inheritance, while chi-square statistics is a test to compare observed data to expected results.

Mendelian genetics is the study of inheritance patterns of traits from parent to offspring. It is based on the work of Gregor Mendel, a 19th century monk and scientist who studied the inheritance of traits in pea plants. Probability pedigrees are diagrams that can be used to calculate the chance of a certain trait being passed down from generation to generation. These diagrams represent the relationships between family members, and the likelihood of a trait being inherited from a parent. Chi-square statistics is a statistical test used to compare observed data to expected results. This is often used to determine the likelihood that an observed trait is inherited from a parent. The chi-square test is used to measure the amount of deviation from the expected, and can help to identify patterns of inheritance. By using probability pedigrees and chi-square statistics, researchers can gain a greater understanding of the patterns of inheritance in a population. This knowledge can be used to develop strategies to prevent or treat diseases that have a genetic component.

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Statistical process control (SPC) is a technique used in quality control to monitor and control a process over time

What is used to periodically check that a process is in statistical control?

a. sampling

b. scrap parts

c. the process is only measured in the beginning 100 percent inspection.

a. Sampling is used to periodically check that a process is in statistical control.

Statistical process control (SPC) is a technique used in quality control to monitor and control a process over time. SPC involves collecting and analyzing data on the process, and using statistical methods to determine whether the process is in statistical control (i.e., producing consistent and predictable results) or is out of control (i.e., producing inconsistent or unpredictable results).

One way to monitor a process using SPC is to use sampling. This involves taking a sample of parts or products from the process at regular intervals, and measuring certain characteristics of the sample (such as dimensions, weight, or color). The data collected from the samples can then be analyzed using statistical methods to determine whether the process is in control or out of control.

If the data collected from the samples indicates that the process is out of control (i.e., producing inconsistent or unpredictable results), corrective action can be taken to bring the process back into control. By regularly monitoring and adjusting the process using SPC techniques like sampling, organizations can ensure that their processes are producing consistent and high-quality results.

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9514 1404 393

Answer:

  n = 5/3

Step-by-step explanation:

Eliminate fractions, add 4, divide by the coefficient of n.

  \(\dfrac{3}{5} n-\dfrac{4}{5}=\dfrac{1}{5}\\\\3n-4=1 \qquad\text{multiply by 5}\\\\3n=5 \qquad\text{add4}\\\\\boxed{n=\dfrac{5}{3}} \qquad\text{divide by 3}\)

Answer:

slope = 3 , y- intercept = - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

- 5 - y = - 3x ( add 5 to both sides )

- y = - 3x + 5 ( multiply through by - 1 )

y = 3x - 5 ← in slope- intercept form

with slope m = 3 and y- intercept c = - 5

The domain is the x value and the range is the y value.

Because x is a variable it can be any real number so the domain would be negative infinity to infinity.

Because the domain is negative infinity to infinity, then the range is also negative infinity to infinity.

If  If Mike has $6.00 in quarters and nickels, then the number of nickels Make have are 60.

Let's assume that the number of nickels in Mike's cup is "N." Since Mike has 20% as many quarters as nickels, the number of quarters can be expressed as 0.20N.

Now, we know that the total value of the quarters and nickels is $6.00. The value of each nickel is $0.05, and the value of each quarter is $0.25.

So, we can set up the equation:

0.05N + 0.25(0.20N) = 6.00

Now, let's solve for N:

0.05N + 0.05N = 6.00

0.10N = 6.00

N = 6.00 / 0.10

N = 60

So, Mike has 60 nickels in his cup.

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Answer: 1

Step-by-step explanation:

Replace: 2(3)-3(2)+1

=> 6-6+1

=> 1

Have a nice day! :)

Answer:

The range gives you the spread of the whole data set, the interquartile range gives you the spread of the middle half of a data set.

Step-by-step explanation:

\( \fbox{(2,5)}\)

Hello, substitute all the given coordinates & see if RHS match with LHS

given equation,

y = 4x-3

First coordinate,

(x,y) = (2,5)

5= 4×2-3

5=5

Hence, first solution satisfies the given equation,

let's solve for rest other cordinates,

second coordinate,

(x,y) = (5,5)

5= 4×5-3

5 ≠ 17

does not satisfy,

third coordinate,

(x,y) = (4,5)

5= 4×4-3

5 ≠ 13

does not satisfy,

fourth coordinate,

(x,y) = (4,5)

5 = 4×3-3

5 ≠ 9

does not satisfy.

Hence the correct answer is (2,5)

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Answer:

It 4000

Step-by-step explanation:

The probability that a student has a GPA under 2.0 given that he has skipped many classes is 8/11.

From the table we see that,

The student who have a GPA under 2.0 = 80

The student who has skipped many classes = 80 + 25 + 5

The student who has skipped many classes = 110

Hence, the probability that a student has a GPA under 2.0 given that he has skipped many classes = The student who have a GPA under 2.0/The student who has skipped many classes

The probability that a student has a GPA under 2.0 given that he has skipped many classes = 80/110

The probability that a student has a GPA under 2.0 given that he has skipped many classes = 8/11

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The complete question is:

One thousand students at a city high school were classified both according to GPA and whether or not they consistently skipped classes.

What is the probability that a student has a GPA under 2.0 given that he has skipped many classes?

A. 0.080

B. 0.281

C. 0.285

D. 0.314

E. 0.727

Given:

PQRS is a circle, PQT and SRT  are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

\(m\angle SPQ+m\angle QRS=180^\circ\)

\(81^\circ+m\angle QRS=180^\circ\)

\(m\angle QRS=180^\circ-81^\circ\)

\(m\angle QRS=99^\circ\)

Now, SRT  is a straight line.

\(m\angle QRT+m\angle QRS=180^\circ\)             (Linear pair)

\(m\angle QRT+99^\circ=180^\circ\)

\(m\angle QRT=180^\circ-99^\circ\)

\(m\angle QRT=81^\circ\)               ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

\(m\angle PQR=m\angle QRT+m\angle QTR\)

\(x=81^\circ+22^\circ\)

\(x=103^\circ\)

Therefore, the value of x is 103 degrees.

Based on the given parameters, the value of the printer after 9 years is $3304

The given parameters about the exponential function are

Initial value, a = $7000

Depreciation rate, r = 8%

Time, t = 9

Exponential functions are different from linear functions, and they are calculated using the following exponential function

A = a *(1 - r)^t

To calculate the value in nine years, we have:

Substitute the known values in the above equation

A = 7000 * (1 - 8%)^9

Express 8% as decimal

A = 7000 * (1 - 0.08)^9

Evaluate the difference

A = 7000 * (0.92)^9

Evaluate the exponent

A = 7000 * 0.472

Evaluate the product

A = 3304

Hence, the value of the printer after 9 years is $3304

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Answer: 5040

Step-by-step explanation

We need to find how much it will depreciate each year based of of original cost.
8% of 7000
turn the percent into a decimal
.08
multiple .08 by the 7000
.08 * 7000 = 560

The printer depreciates 560 each year , to find the total for 9 years multiply by 9

560*9 =5040

Answer:

Largest angle is "B" and smallest angle is "A".

Step-by-step explanation:

Given ∆ABC

AB = 10 cm , BC = 8 cm , AC = 15 cm

Angle opposite to side AB is "C"

Angle opposite to side BC is "A"

Angle opposite to side AC is "B"

we know that the angle opposite to largest side is largest angle and smallest side is smallest angle.

Here,∆ABC largest side is AC and smallest side is BC.

Hence,largest angle is "B" and smallest angle is "A".

Answer:

he worked 4 hours each day

Step-by-step explanation:

The critical value is approximately 2.681. Since the absolute value of the test statistic (4.114) is greater than the critical value (2.681), we can reject the null hypothesis at the 0.01 significance level and conclude that there is evidence to support the claim that Praxor is effective at lowering cholesterol levels compared to a placebo.

Hypothesis testing is a statistical method used to determine whether there is enough evidence to support a claim about a population.

In this case, the claim being made is that people who take Praxor will experience a greater decrease in cholesterol levels compared to those taking a placebo.

The first step in hypothesis testing is to state the null and alternative hypotheses. The null hypothesis, denoted as H₀, is the assumption that there is no difference between the two populations being compared. The alternative hypothesis, denoted as H₁, is the claim being made, which is that there is a difference between the two populations.

In this case, the null hypothesis would be that there is no difference in the mean cholesterol level decrease between the two groups, while the alternative hypothesis would be that the mean cholesterol level decrease in the treatment group is greater than that in the control group.

Next, a significance level, denoted as α, is chosen. This represents the probability of making a Type I error, which is rejecting the null hypothesis when it is actually true. In this case, a significance level of 0.01 is chosen.

The next step is to calculate the test statistic, which is a value that measures how far the sample data deviates from what is expected under the null hypothesis. The test statistic used in this case is the two-sample t-test. This test assumes that the two populations being compared have normal distributions and that their variances are not equal.

The formula for the two-sample t-test is:

t = (x₁ - x₂) / √√(s₁²/n1 + s₂²/n₂)

Where x₁ and x₂ are the sample means, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes for the two groups being compared.

Substituting the values in the formula we get,

= (19.9 - 19.3) / √((3.9²/32) + (1.3²/36))

t ≈ 4.114

Finally, we compare the test statistic to a critical value from a t-distribution table with degrees of freedom equal to n₁ + n₂ - 2 and a significance level of 0.01. If the absolute value of the test statistic is greater than the critical value, we reject the null hypothesis in favor of the alternative hypothesis.

In this case, the critical value is approximately 2.681. Since the absolute value of the test statistic (4.114) is greater than the critical value (2.681), we can reject the null hypothesis at the 0.01 significance level and conclude that there is evidence to support the claim that Praxor is effective at lowering cholesterol levels compared to a placebo.

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The cost of one hamburger is 5

look at the attached picture

Hope it will help you

Good luck on your assignment

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15 burgers = 75

Divide by 15 to get the price of 1

1 burger = 5

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