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2 years ago

It costs £8 to go on a bowling trip.

Mathematics

1 answer:

Damm [24]2 years ago

4 0

Answer:

£624

Step-by-step explanation:

£ (78 * 8)

= £624

Hope this helped!

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In all, 1000 students took a statistics exam worth 150 points. The first quartile (or Q1) for all 1000 scores is 90 points. Abou

Brums [2.3K]

Answer:

The number of students who scored more than 90 points is 750.

Step-by-step explanation:

Quartiles are statistical measures that the divide the data into four groups.

The first quartile (Q₁) indicates that 25% of the observation are less than or equal to Q₁.

The second quartile (Q₂) indicates that 50% of the observation are less than or equal to Q₂.

The third quartile (Q₃) indicates that 75% of the observation are less than or equal to Q₃.

It is provided that the first quartile is at 90 points.

That is, P (X ≤ 90) = 0.25.

The probability that a student scores more than 90 points is:

P (X > 90) = 1 - P (X ≤ 90)

= 1 - 0.25

= 0.75

The number of students who scored more than 90 points is: 1000 × 0.75 = 750.

4 0

2 years ago

Read 2 more answers

A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(

alekssr [168]

Answer:

$\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right)$ or approximately (0.544, 4.179)

Step-by-step explanation:

A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

$\displaystyle\\f(x)=\sqrt{x}-x+4\\f'(x)=\frac{1}{2}\cdot\frac{1}{\sqrt{x}}-1=\frac{1}{2\sqrt{x}}-1$

Set $f'(x)$ equal to 8/7 and solve for x:

$\displaystyle \\\frac{1}{2\sqrt{x}}-1=\frac{8}{7},\\x=\frac{49}{900}$

Therefore, $f(x)$ will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into $f(x)$ to get the y-coordinate:

$\displaystyle\\y=\sqrt{x}-x+4 \vert_{x=49/900}=\frac{3761}{900}$

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)

5 0

2 years ago

Complete the slope equation of the line through 2,3 and 7, 4 <br><br> Y-4=

In-s [12.5K]

Answer:

The slope equation of the line AB is $(y -4) = \frac{1}{5} (x-7)$

Step-by-step explanation:

Here, the given points are A (2, 3) and B (7,4).

Now, slope of any line is given as :

$m = \frac{y_2 - y_1}{x_2 - x_1}$

or, $m = \frac{4 -3}{7-2} = \frac{1}{5}$

Hence, the slope of the line AB is (1/5)

Now , A POINT SLOPE FORM of an equation is

(y - y0) = m (x - x0) ; (x0, y0) is any arbitrary point on line.

Hence, the equation of line AB with slope (1/5 ) and point (7,4) is given as:

$(y -4 ) = \frac{1}{5} ( x - 7)$

or, 5y - 20 = x -7

⇒ x - 57 + 13 = 0 ( SIMPLIFIED FORM of equation)

Hence, the slope equation of the line AB is $(y -4) = \frac{1}{5} (x-7)$

3 0

2 years ago

2.) Find the measure of exterior angle X:

Oxana [17]

ANSWER:
try 110 , sorry if that’s wrong

6 0

2 years ago

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A survey has a margin of error of +/– 3%. What is the range of number of people who will vote for a candidate if 87 of the 110 p

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

I just answered it

6 0

3 years ago

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