MATHEMATICS HIGH SCHOOL

Increase £84 by 3%
thank you!

Answers

Answer 1
Answer: If you would like to increase £84 by 3%, you can calculate this using the following steps:

3% * £84 = 3/100 * 84 = £2.52

£84 + £2.52 = £86.52

The correct result is £86.52.

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Which equation in slope-intercept form, passes through the points (2, 15) and (5, 21)?

Answers

Answer:

y = 2x + 11

Step-by-step explanation:

Slope-intercept form (y=mx+b) of linear equations highlights the slope (m) and the y-intercept (b) of a line.

Slope = m = rise/run = (y2-y1)/(x2-x1) = (15-21)/(2-5) = -6/-3 = 2

substitute 2 back into the equation.

y = mx + b

y = 2x + b

use one of the provided points to solve for b.

y = 2x + b

15 = 2(2) + b

15 = 4 + b

11 = b

y = 2x + 11

Kyle rides his bicycle 15 mph for 2 hours how far does he travel

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

30 miles

▹ Step-by-Step Explanation

Multiply mph by hours:

15 mph * 2 hrs = 30 miles

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Which category does each card go into?

Answers

Answer:

See attached

Step-by-step explanation:

The answer is attached

Infinitely many solutions

  • E2, E8, E10

One solution

  • E1, E7, E12

No solution

  • E3, E6, E11

Step-by-step explanation:

E3, E6, E11, E7: no solution

E1, E12 : 1 solution

E2, E8, E10 : infinite solutions

Which of the following best describes a three-dimensional solid made from a pile of similar circles that grow smaller as the solid gets taller until it reaches a point at the vertex?A . cylinder
B. cube
C. prism
D. cone

Answers

Your answer is D) Cone

Answer:

cone

Step-by-step explanation:

apeee

An underwater canyon begins at 40 feetbelow sea level and is 105 feet deep.
What is the elevation of the bottom of
the canyon?

Answers

Answer:

145 feet.

Step-by-step explanation:

Given that:

An underwater canyon begins at depth = 40 ft

Depth of canyon = 105 ft

To find:

The elevation of the bottom of the canyon = ?

Solution:

Kindly refer to the image attached for the given dimensions.

A is the sea level.

B is the point at which the canyon starts and

C is the bottom of the canyon.

As per question statement, we are given that:

AB = 40 feet

BC = 105 feet

And we have to find the distance AC = ?

It is clearly observable that:

AC = AB + BC\n\Rightarrow AC = 40 + 105\n\Rightarrow \bold{AC = 145 ft}

So, the elevation of the bottom of the canyon is 145 ft.

Assume that women's heights are normally distributed with a mean given by u = 64.3 in, and a standard deviation given by 0 = 2.7 in. (a) f 1 woman is randomly selected, find the probability that her height is less than 65 in. (b) if 43 women are randomly selected, find the probability that they have a mean heightless than 65 in. (a) The probability is approximately I. (Round to four decimal places as needed.) 4

Answers

Answer:

0.9533

Step-by-step explanation:

(a) Probability that a randomly selected woman's height is less than 65 inches:

Using the z-score formula:

�

=

�

−

�

�

Z=

σ

X−μ

​

Where:

�

X = 65 inches

�

μ = 64.3 inches

�

σ = 2.7 inches

�

=

65

−

64.3

2.7

≈

0.2593

Z=

2.7

65−64.3

​

≈0.2593

Now, find the probability associated with this z-score, which is approximately 0.6010 (rounded to four decimal places).

(b) Probability that the mean height of 43 randomly selected women is less than 65 inches:

Using the Central Limit Theorem:

�

μ (mean of the sample means) remains 64.3 inches.

�

sample mean

σ

sample mean

​

 (standard deviation of the sample means) is calculated as

2.7

43

≈

0.4115

43

​

2.7

​

≈0.4115.

Now, find the z-score for a sample mean of 65 inches:

�

=

65

−

64.3

0.4115

≈

1.6924

Z=

0.4115

65−64.3

​

≈1.6924

The probability associated with this z-score is approximately 0.9533 (rounded to four decimal places).
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