5 + 7(6 −4) − 2(5 − 1)

It is not reasonable to use a normal model for the sampling distribution of the sample because the data doesn't meet the success or failure consideration.

The sample has a size of 50 students. The probability that she guesses that about 10% of the class goes is 10%

This will be illustrated as:

1 - p = 1 - 10% = 1 - 0.10 = 0.90

np = 50 × 0.1 = 5. This implies the number of successes.

In this case, the number of successes is less than 10. This is because 5 is less than 10. Therefore, the data doesn't meet the condition.

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The rate of change is 18 units and 24 ≤ x ≤ 96 is 24 < 42, 60, 78 < 96.

So, the rate of change in column 'x':

The rate of change per unit is 18.

Now, 24 ≤ x ≤ 96.

Between 24 and 96, there are three values given in the column which are:

So, x can be 42, 60, and 78.

Therefore, the rate of change is 18 units and 24 ≤ x ≤ 96 is 24 < 42, 60, 78 < 96.

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The amount of money that Susie makes for 7 working days will be;

⇒ $314.3

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Susie has a part-time job at the video store and she makes between $41.89 and $47.91 a day.

Now,

The amount of money for a day = ($41.89 + $47.91) / 2

The amount of money for a day = $89.8 / 2

The amount of money for a day = $44.9

Thus, The amount of money that Susie makes for 7 working days is;

= 7  x $44.9

= $314.3

Hence,

The amount of money that Susie makes for 7 working days will be;

⇒ $314.3

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Answer:

Between -4 and 0

Step-by-step explanation:

Hey! I saw your most recent and I'm assuming it is this question we're talking about it so let's help you with that!

Let's start by looking at what each of them mean, the first one means that 4 is lower than a but a is lower than 5 (Inequality 1) The second one means 5 is lower than b but b is lower than 8 (Inequality 2). Now, in order to find out [tex]a-b[/tex], we need to find the largest and smallest value of [tex]a-b[/tex]. The reason why we do this is because we want to look for the range of what [tex]a-b[/tex] can give us and in finding the largest and smallest value, if we were to evaluate both inequality 1 and 2 using [tex]a-b[/tex], we know that it can't be beyond the largest value or smaller than the lowest value.

In order to figure out the largest possible value of [tex]a-b[/tex], we need to take the maximum x value of inequality 1 and subtract it by the minimum y value of inequality 2, so we get:

[tex]5-5=0[/tex]

In order to figure out the smallest possible value of [tex]a-b[/tex], we need to take the minimum x value of inequality 1 and subtract it by the maximum y value of inequality 2, so we get:

[tex]4-8=-4[/tex]

So, in this case! The answer is b) between -4 and 0

Answer:

B

Step-by-step explanation:

The point R represents the number -2.5 on the number line

From the question, we understand that the point R is halfway between the integers on the number line

This means that

Point R = 1/2 * (a + b)

Where variables a and b represent the boundaries of the integers

In this case, we have

a =-2

b = -3

Substitute a =-2 and b = -3 in the equation Point R = 1/2 * (a + b)

So, we have

Point R = 1/2 * (-2 - 3)

Evaluate the difference

Point R = 1/2 * -5

Evaluate the product

Point R = -2.5

Hence, the location of R on the number line is  -2.5

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         The journey through the difficult process of learning to read is described by the Reading Scale. It provides teachers with different perspectives on and analytical tools for their observations of children's growing abilities, knowledge, and comprehension of the reading process.

          Develop Areas Dinosaur Special Using Scale Read the issue below and attempt to resolve it.

            Wonderful exhibit hall A natural history museum's floor plan is displayed.

          3/4 in The The museum is 20 yards to one inch in scale with the blueprint.  

          Space 3/4 in TRY IT Math Resource Kit paper with two sets of numbers, a grid, ribbon, and yarn ADVERTISE IT Why did you select that method of location, for example?

Share: I used the approach I did because.

3/4 : 20 yds

3/4 ×20/1 ÷60/4 = 15 yds

1 (3/4) = 7/4

7/4 × 20/1 = 140/4 = 35 yds.

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Answer:

Step-by-step explanation:

i think its the 3rd one

The value of the travel trailer after 5 years is $8306  .

in the question ,

it is given that

the price of the travel trailer(a)  = $35000

rate of decrease(r) = 0.25

time (x) = 5 years

The exponential expression for the decrease in price after x years is given by the formula

price = a(1-r)ˣ

where, a is the initial amount ,

r is the decay rate ,

x is the time period .

Substituting the values from above in the formula ,

we get

price = 35000(1-0.25)⁵

= 35000(0.75)⁵

= 8305.664

≈8306

Therefore , the value of the travel trailer after 5 years is $8306  .

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Answer: $0.2

Step-by-step explanation:

To find the answer you divide 6.52 by 40 which will get 0.163. To check the answer and make sure its correct you can multiply 0.163 by 40 to get 6.52 making the answer correct so 0.2 is the answer to the nearest cent. Hope this helps :)

Answer:

31 ≤ x

Step-by-step explanation:

22 ≤ x - 9;

22 + 9 ≤ x - 9 + 9;

31 ≤ x

Colton has $67,696 in a savings account that earns 2% interest per year. The interest is not compounded. How much interest will he earn in 1 year?​

we know that

2%=2/100=0.02

so

To find out the amount of interest, multiply the total amount by the percentage in decimal form

(67,696)*0.02

Based on the highest common factor, the number of kids that can decorate 30 pumpkins equally and make scarecrows from the materials without leftovers is 5.

The highest common factor (HCF) is the number that can divide between 30 and 36 without a remainder.

                          Pumpkins      Materials

Units                       30                 36

HCF                          6                   6

Average used          5                  6

Thus, dividing 30 and 36 by their HCF of 6, respectively, shows that 5 kids can decorate the 30 pumpkins using 6 materials each to make the scarecrows.

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The number of kids who can decorate 30 pumpkins equally and make scarecrows from the materials without leftovers would be; 5.

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

The highest common factor (HCF) is defined as the number which can divide between 30 and 36 without a remainder.

Given that they have 30 to decorate and 36 sets of material to make mini scarecrows.

Their HCF is 6. The averages used are 5  and 6 respectively.

Hence, their HCF of 6, shows that 5 kids can decorate the 30 pumpkins by using 6 materials each to make the scarecrows.

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Answer:

60

Step-by-step explanation:

10 x 6 < w

60 < w

that answers it

Answer: Multiply to remove the fraction, then set equal to

0

and solve.

Inequality Form:

w

>

60

Interval Notation:

(

60

,

∞

)

Answer:

x > -2

Step-by-step explanation:

Step-by-step explanation:

x + y = 18 We have at least 4 quarters

0.25x + 0.1y = 3.6

If we graph both equations, the point of intersection will give us our answer.

In this case, the lines intersect at the point (12, 6) which means I have 12 quarters and 6 dimes. This solution is correct as it also satisfies the condition of having at least 4 quarters.

(got this from another website, maybe it's wrong..

Wishing you the best!! )

The student needs a minimum score of 956 to stay in the top 15% of the normal distribution.

Normal distributions are fundamental to statistics because they are widely used in the social and natural sciences to represent real-valued regressors with uncertain distributions.

Now top 15%

Therefore P=0.15

P(X<x) = 1 -0.15 = 0.85

Z-score = 1.04

Now we know that

z=(x-μ)/σ

Solving we get :

1.04 = (x - 800)/150

or, x = 956

hence the minimum score is 956.

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Cutting at less than a right angle to the axis but more than the angle made by the side of the cone produces an ellipse.

Therefore, with this above statement, the statement which best describes how to slice a cone so that the resulting cross-section is an ellipse is

A plane slicing the cone diagonally without intersecting the base

The correct option, therefore, is OPTION B

Answer: 320x + 256

Step-by-step explanation:

The amount of time it would take Element X to decay to a mass of 230 grams is 9.5 minutes.

Mathematically, the mass of a radioactive element that is remaining after time (t-hours) is given by this exponential function:

A(t) = A₀·e^{t/τ}

Where:

Next, we would determine the time constant by using this mathematical expression:

Time constant, τ = t/ln2

Time constant, τ = 5/0.6932

Time constant, τ = 7.2130 minutes.

Now, we can determine the amount of time to decay by making half-life (t) the subject of formula as follows:

A(t) = A₀·e^{t/τ}

Half-life, t = -τ·ln(A(t)/A₀)

Substituting the parameters into the formula, we have;

Half-life, t = -7.2130·ln(230/860)

Half-life, t = -7.2130 × ln(0.2674)

Half-life, t = -7.2130 × -1.3190

Half-life, t = 9.51 ≈ 9.5 minutes.

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Answer:

p=12.3

Step-by-step explanation:

-1.5-9p= -6p+35.4

36.9=3p

p=12.3

The relationship between the graph of f(h) and graph of g(h)

A graph is a pictorial representation of information

The difference in the two graphs is the part of the non refundable deposit which will affect the intercept.

In f(h) = 8h + 10, the non refundable deposit 10 and the increment is 15%

The increment is solved below

solving the percentage increased

15% of $10 = 0.15 * 10 = $1.5

adding to the initial deposit

10 + 1.5 = 11.5

g(h) = 8h + 11.5

The graph of g(h) will have same slope as graph of f(h) which is 8

The y intercept of the graph if g(h) will be 11.5 while that of the graph of f(h) is 10

both graphs will form parallel lines

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Answer:

y = (1/4)x - 5

Step-by-step explanation:

We'll look for an equation having the form y=mx+b, where m is the slope and b is the y-intercept, the value of y when x=0.

We are told the slope, m, is (1/4):

  y = (1/4)x+ b

We need to find a value of b such that it forces the line to go through point (8,-3).  Enter that point in the equation:

  y = (1/4)x + b

  -3 = (1/4)(8) + b    for (8,-3)

   -3 = 2 + b

b = -5

The equation is y = (1/4)x - 5

See attached graph.

Answer:

A. d ÷ 11

Explanation:

The quotient of two terms is the division of the first term by the other term.

If we say the quotient of d and 11​, we write it mathematically as:

The correct choice is A.

Answer:

3

Step-by-step explanation:

There are 3 terms. The terms are separated by + signs. They can also be separated by - signs.

The terms are 7a, 1, 8b.

If there was a minus sign in front of the term you need to keep it with the term because it is a negative term.

Answer:

There are a total of 3 terms

Step-by-step explanation:

A term is either a single number or variable, or the product of several numbers or variables. Terms are separated by a + or - sign in an overall expression. We are basically counting how many individual mathematical expressions

7a is a term

1 is a term, and it's a constant

8b is a term

Looking at the triangle, we missing a side. This side represents the leg.

Now, we can find this missing side using the Pythagorean Theorem because the half represents a right triangle.

- The hypotenuse is the largest side, then hypotenuse = 5ft.

Using

Answer:

1- 80 miles

2- 3 hours

3- 35 mph

4- 180 miles

5- 5 hours

6- 15 mph

Step-by-step explanation:

if you travel at 40 miles every hour, then in 2 hours you'll travel 80 miles.

Answer: I think it’s C

Looking at the graph

we have that

Decreasing intervals are

(-infinite, -2.5) and (1.75, infinite)

so

Verify each option

A ----> is true

B ---> is not true

C ---> is true

D ---> is not true

The length of the guy wire, to the nearest foot is 1548 ft.

The right-angled triangle's relationship between its three sides is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The square of a triangle's hypotenuse is equal to the sum of its other two sides' squares, according to the Pythagoras theorem. The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized

After sketching the information given, we have two similar right triangles, ΔABE and ΔCDE.

CD = 6 ft

DE = 1 ft

BD = 12 ft

Since ΔABE ~ ΔCDE, therefore,

AB/CD = BE/DE (proportional sides)

Plug in the values

AB/6 = (12 + 1)/2

AB/6 = 13/2

Cross multiply

AB = 13(3)

AB = 39 ft

AE = √(AB² + BE²)

AE = √(39² + 12²)

AE = 1548 ft (nearest foot)

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Answer: The length of the guy wire, to the nearest foot is 1548 ft.

Step-by-step explanation: