A car was bought for £18,000.
It was sold for £15,300.
Express this as a percentage decrease.​

Answer:

Shop A = 113 pence

Shop B = 101 pence

Step-by-step explanation:

Given :

Shop A :

5kg for £5.65

Shop B:

2kg for £2.02

Price per kg :

weight / price

100 pence = £1

Shop A :

Price of 1kg :

5.65 / 5 = £1.13 = 113 pence

Shop B:

2.02 / 2 = £1.01 = 1.01 * 100 = 101 pence

Answer:

1 =647

2=223

3=236

4=490

5=3214

۔

Positive curve graphs will be upward-sloping.

Negative curve graphs will be downward-sloping.

Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.

In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

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Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

Whether a one-tailed or two-tailed test is used depends on the specific hypothesis and the expected effect of the new flu drug on people.

Based on the information provided, the type of test to be conducted would depend on the specific research hypothesis and the directionality of the expected effect of the new flu drug.

Whether a one-tailed or two-tailed test is used depends on the specific hypothesis and the expected effect of the new flu drug on people.

A one-tailed test would be appropriate if the researcher has a specific prediction about the direction of the drug's effect on people. For example, if the researcher expects the new flu drug to only make people better or only make people worse, a one-tailed test would be suitable.

On the other hand, a two-tailed test would be more appropriate if the researcher does not have a specific prediction about the direction of the drug's effect. This means that the researcher is open to the possibility that the drug could either make people better or worse.

In conclusion, whether a one-tailed or two-tailed test is used depends on the specific hypothesis and the expected effect of the new flu drug on people.

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Answer:

A

Step-by-step explanation:

To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).

Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.

The formula for a confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).

The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).

Plugging in the values:

Standard Error = 5.7 / √12 ≈ 1.647

Confidence Interval = 46 ± (2.681 * 1.647)

Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).

In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.

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Answer:

Answer:

The prime polynomials are

x² + 9

x² + 3x + 9

Step-by-step explanation:

Step-by-step explanation:

the answer from the graph is:

(2 , 3)

Answer:

b) 3x + 10

Step-by-step explanation:

Exterior angle property of triangle: Exterior angle equals the sum of opposite interior angles.

Exterior angle = x + y

Sum of interior opposite angles = 3x + (x + 10)

                                                     = 4x + 10

Exterior angle = sum of opposite interior angles

               x + y = 4x + 10

                     y = 4x + 10 - x

                     y  = 4x - x  + 10      {Combine like terms}

                         = 3x + 10

Answer:

It's 5

Step-by-step explanation:

-4x+5=-15 (subtract 5)

-4x=-20 (divide by -4)

x=5

Step-by-step explanation:

Work backwards. First, create a function:

f(x) = x

First, instead of adding 5, subtract it:

f(x) = x - 5

Then, divide by -4:

f(x) = (x - 5) ÷ -4

Then plug in -15:

f(-15) = (-15 - 5) ÷ 4

= -20 ÷ -4

= 20 ÷ 4

= 5

Answer:

100

Step-by-step explanation:

its impossable

The new volume of the cylinder is $100$ cubic feet.

Let the original radius and height of the cylinder be $r$ and $h$, respectively. Therefore, the original volume of the cylinder is given by $\pi r^2 h = 100$. After the radius decreases by $10%$ and the height increases by $10%$, the new radius and height become $0.9r$ and $1.1h$, respectively. The new volume of the cylinder can be calculated as $\pi (0.9r)^2 (1.1h) = 0.891\pi r^2 h$. Since $0.891\pi r^2 h = 100$, the new volume of the cylinder is $100$ cubic feet.

Therefore, the new volume of the cylinder is the same as the original volume, i.e., $100$ cubic fee

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Answer:

b

Step-by-step explanation:

The surface with the given vector equation, r(s, t) = (s cos(t), s sin(t), s), is a circular cone.

The vector equation r(s, t) = (s cos(t), s sin(t), s) represents a surface in three-dimensional space. Let's analyze the equation to determine the nature of the surface.

In the equation, we have three components: s, cos(t), and sin(t). The presence of s indicates that the surface expands or contracts radially from a central point. The trigonometric functions cos(t) and sin(t) determine the angle at which the surface extends in the x and y directions.

By observing the equation closely, we can see that as s increases, the radius of the surface expands uniformly in all directions, while the height remains constant. This behavior is characteristic of a circular cone. The circular base of the cone is defined by s cos(t) and s sin(t), and the vertical component is determined by s.

Therefore, the surface described by the vector equation r(s, t) = (s cos(t), s sin(t), s) is a circular cone.

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Answer:

a,d,e

Step-by-step explanation: trust

The addition expression being modeled by the unit fraction 1/5 representing the space between the tick marks on the number line is 1/5 + 1/5 + 1/5 + 1/5 + 1/5. The sum is 1.

When we add the fractions, we combine the numerators while keeping the same denominator:

1/5 + 1/5 + 1/5 + 1/5 + 1/5 = (1 + 1 + 1 + 1 + 1) / 5

Simplifying the numerator, we get:

5/5 = 1

Therefore, the sum of the unit fraction 1/5 repeated five times is equal to 1. This means that when we add the space between five tick marks on the number line, we cover the distance of one whole unit.

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Answer:

there monthly budget is $4000

Step-by-step explanation:

if 600 is 15% then there is 85% of there budget left so in order to find how much is 1% then 600/15=40 so $40 = 1% so 1%x100=100%  and 40x100=4000 so 100% of there budget is $4000

hope this helps have a blessed day :)

Hello!

In the given figure we can see that it is a right angled triangle .

Where,

Base is 9

We have to find the value of x i.e Hypotenuse

Here we are given base and we need to find the Hypotenuse.

Also we have been given the value of theta = 45°

Using trigonometric ratio :

cos \(\theta = \dfrac{ B}{H} \)

As per the question we have hypotenuse = x

Plugging the required values,

\( \cos 45 \degree = \dfrac{9}{x} \)

\( \dfrac{1}{ \sqrt{2} } = \dfrac{9}{x} \: \: \: \: \bigg(\because \cos 45\degree = \dfrac{1}{\sqrt2} \bigg)\)

further solving by cross multiplication

\(x = 9 \sqrt{2} \)

Hence, The value of x is 9√2

Answer : Option 1

Hope it helps! :)

Answer:

20 percent off depends on the original cost: Take the original number and divide it by 10. Double your new number. Subtract your doubled number from the original number. You have taken 20 percent off! For $30, you should have $24.

Step-by-step explanation:

Answer:

I think the answer is collinear

The Answer Is Sin(B)=4/5

\( \sin( \beta ) = \frac{opposite}{hypotenuse} \)

Meaning, sin(B)=4/5

Answer:

4/5

Step-by-step explanation:

The angle you want to look at is the one given to you with the beta symbol. The trigonometric funtion sin mean opposite/hypotenuse. The side that is opposite is stright across from ∠β which would be 4. The hypothenuse is the largest side of the triangle or the "slanted side of the triangle." With that explanation, the hypotenuse is 5.

Answer:

10 days

Step-by-step explanation:

It will take 10 men 5 days to dig a hole half as big.

It will take 5 men 10 days to dig a hole half as big.

( Remember, the less people, the more time it will take. )

Answer:

10 men can dig 1 hole in 10 days

How long for 5 men to dig ½ hole?

The ratio to be concerned with is

(number of people / number of holes) =  10 days

5 people digging  ½ hole will take 10 days.

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See puzzle #3

Step-by-step explanation:

The numerical will be equal to 159 ÷ 16 and the polynomial will be (9x +15)/x.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

In comparison to the divisor, the dividend will be 15 times greater. It seems that you are free to select any divisor. It must be more than 15 if the divisor is totally numerical.

Numerical:

Divisor = 16,

so we have,

(9×16 +15) ÷ 16

= 159 ÷ 16

Polynomial:

The simplest divisor we can have is a single variable: x.

(9x +15)/x

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Answer:

x>8

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

               6*x-20-(3*(2-x)+6*x-2)>0

6x - 20) -  ((3 • (2 - x) +  6x) -  2)  > 0

3x - 24  =   3 • (x - 8)

3 • (x - 8)  > 0

   x > 8

The required graph shows equation y = 10 + 4.50x which represents the total cost of sandwiches and delivery based on the number of sandwiches ordered.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Let x represent the number of sandwiches and y represent the total cost.

Here is a graph of this equation:

y = 10 + 4.50x

This graph shows that the total cost of sandwiches and delivery is a straight line that increases by $4.50 for each additional sandwich ordered. The $10 delivery fee is the y-intercept of the line, which is the point where the line crosses the y-axis (when x = 0).

The slope of the line is 4.50, which indicates the change in the total cost for each unit change in the number of sandwiches.

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The probability that 117 or fewer of 205 randomly selected marketing researchers would disapprove of the practice = 0.0104.

When the sample size is large, the binomial distribution is employed instead of the normal approximation since the calculation becomes more complicated when the sample size is large.

Now,

Let the sample size be n and the number of people who disapprove of the practice be x.

Then, n = 205, x = 117

Then, by normal approximation, the value of mean (μ) will be given by:

μ = np = 205(0.65) = 133.25

Standard deviation (σ) = \(\sqrt{np(1-p)}\)

σ = 205(0.65)(1 - 0.65) = 133.25(0.35) = 6.83

The probability that 117 or fewer of 205 randomly selected marketing researchers would disapprove of the practice:

P(x ≤ 117) = P (x < 117 + 0.5) (By Continuity correction Factor)

=> P(x ≤ 117) = P ( x < 117.5)

=> P(x ≤ 117) = P ( z < \(\frac{117.5 - 133.25}{6.83}\))

=> P(x ≤ 117) = P ( z < -2.31)

=> P(x ≤ 117) = 0.0104

Hence, the probability that 117 or fewer of 205 randomly selected marketing researchers would disapprove of the practice = 0.0104.

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In this case, the coordinates of A', B' and C' are :

A' = (-2, -6)

B' = (-14, -2)

C' = (-2, -2)

We know the original coordinates to be:


A = (1, 3)

B = (7, 1)

C  = (1, 1)

Multiple by the scale factor to get :



A = (1, 3) x -2 = A' = (-2, -6)

B = (7, 1)   x -2 = B' = (-14, -2)

C  = (1, 1) x -2 ⇒ C' = (-2, -2)

See the new (dilated shape) attached.

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Answer:

56

Step-by-step explanation:

length times width