600 students sat a Math exam. If 86% of students passed the exam, the percentage of people who FAILED is
with step to step calculation

Answer:

[tex]\boxed {\boxed {\sf x\approx 63.7}}[/tex]

Step-by-step explanation:

This is a right triangle. We know this because there is a small square in the corner representing a 90 degree/right angle. Therefore, we can use the right triangle trigonometry ratios.

We are given angle A which measures 37 degrees.

Side BC which measures 48 is opposite angle A and the unknown side, x, is next to or adjacent to angle A.

We should use tangent.

[tex]tan \theta= \frac{opposite}{adjacent}}[/tex]

[tex]tan37= \frac {48}{x}[/tex]

Since we are solving for x, we must isolate the variable. First, cross multiply. Multiply the first numerator and the second denominator, then the first denominator and second numerator.

[tex]\frac {tan37}{1}=\frac {48}{x}[/tex]

[tex]tan37*x=48*1[/tex]

[tex]tan37*x= 48[/tex]

x is being multiplied by the tangent of 37. The inverse of multiplication is division, so we divide both sides by the tangent of 37.

[tex]\frac {tan37 *x}{tan37}=\frac{48}{tan37}[/tex]

[tex]x= \frac{48}{0.7535540501}}[/tex]

[tex]x=63.69815144[/tex]

Even though it is not specified, let's round to the nearest tenths place. The 9 in the hundredth place tells us to round the 6 up to a 7.

[tex]x\approx 63.7[/tex]

The unknown side is approximately 63.7 units long.

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

62x = 2232

x = 36

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

Subtract 310 from both sides

62x = 2,232

Then Divide by 62

x = 36

Enjoy.

Answer:

x = 24/5 - 2y/5

Step-by-step explanation:

Answer:

2-16x^3

Step-by-step explanation:

Answer:

147.7 m²

Step-by-step explanation:

Area of the triangular faces = 1/2 × base × height

A triangular pyramid has lateral faces with bases of 8 meters and heights of 10 meters.

Hence: 1/2 × 8 × 10 = 40 m²

A triangle has 3 faces, hence, area of the 3 faces = 3 × 40 m²

= 120m²

The area of the base of the pyramid is 27.7 square meters.

Hence, the surface area of the pyramid is calculated as:

Area of the 3 lateral faces of the pyramid + Base area

= 120m² + 27.7 m²

= 147.7 m²

The surface area of the pyramid is 147.7 square meters.

Answer:

y = 18

Step-by-step explanation:

15/-5 = y/-6

cross-multiply:

-5y = -90

y = 18

Answer:

Step-by-step explanation:

Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.

2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.

Answer:

7

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Use the Intersecting chord theorem;

Rule: (CE) * (EB) = (AE) * (ED)

CE = x

EB = 15

AE = 9

ED = 10

=> (x) (15) = (9) (10)

15x = 90

Now Divide each side with 15

=> x = 6

Hope this helps!

Answer:

x = 2

y = -3

Step-by-step explanation:

2x + 2y = -2, then 2y = -2 - 2x

3x - 2y = 12, then 2y = 3x - 12

so:

-2 - 2x = 3x - 12

add 2x and 12 to each side of the equation:

5x = 10

divide both sides by 5:

x = 2

2y = 3(2) - 12

2y = -6

divide both sides by 2:

y = -3

Answer:

it's D I think

Step-by-step explanation:

..........

Answer:

D

Step-by-step explanation:

A line segment is a straight line that ends , the arrows mean the the ray or line dont end

Answer:

a) 5units

b) (4.5, 4)

Step-by-step explanation:

Let the coordinate of P and Q be P(3, 2) and Q(6, 6)

PQ can be gotten using the distance formula;

PQ =√(6-2)²+(6-3)²

PQ = √4²+3²

PQ =√16+9

PQ =√25

PQ = 5units

Midpoint M is  expressed as;

M(X, Y) = {(x1+x2)/2, y1+y2/2}

X = x1+x2/2

X = 3+6/2

X= 9/2

X = 4.5

Similarly;

Y = y1+y2/2

Y = 2+6/2

Y = 8/2

Y = 4

Hence the midpoint of PQ is (4.5, 4)

Answer:

It's C

Step-by-step explanation:

Because if you look at the other numbers they all add up to the next number by 4. 4+4=8  8+4=12  12+4=16  16+4=20  20+4=24

Therefore, x intercept is 24 and y intercept is 18. Hope this is correct if it's not  correct then I'm very sorry. Have a nice day. ;)

Answer:

68%

Step-by-step explanation:

The Empirical rule formula is given as:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Where

μ is the population mean

σ is the population standard deviation.

Step 1

Find the number of standard deviations from the mean

μ - xσ and μ + xσ

μ = 175

σ = 13

For 162

175 - 13x = 162

175 - 162 = 13x

13 = 13x

x = 13/13

x = 1

For 188

175 + 13x = 188

13x = 188 - 175

13x = 13

x = 13/13

x = 1

Hence, the data falls with 1 standard deviation of the mean

Therefore, percentage of the games that Mayerlin bowls does she score between 162 and 188 is 68%

Answer:

The answer is 68%

Step-by-step explanation:

Answer:

The answer is 9

Step-by-step explanation:

√25 = 5

√16 = 4

Now,

√25 + √16

5 + 4 = 9

Thus, The answer is 9

-TheUnknownScientist

Answer:

9

Step-by-step explanation:

First step is to simplify the radicals

√25=5

√16=4

5+4=9

Answer:

John

Step-by-step explanation:

3/4 > 3/8

3/4 = 6/8

6/8 > 3/8

Answer:

74%

Step-by-step explanation:

0.74 × 100 = 74%

Answer:

74% (answer).

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.74 × 100 =74%

Answer:

5years

Step-by-step explanation:

I=70

P=350

R=4

➜PRT=100 I

➜T=100 I/PR

➜100×70/350×4

➜7000/1400

➜5years

Answer:

Step-by-step explanation:

10^5 = 100,000 x 4.1 = 410,000

Answer:

That the object is moving

as time goes by the distant goes lower

Step-by-step explanation:

I think

Answer:

the object is moving forward with decreasing speed.

Step-by-step explanation:

1st graph all the negative & positive numbers

The opposite of 2 is -2 because it's a negative number ( opposite of 2 )

Answer:

can you please give more info

Step-by-step explanation:

Agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.

It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.

We know on the left side skewed histogram has more data on the right and on the left side, there are fewer data. It is also called a negatively skewed histogram.

On the right side skewed histogram, there is fewer data on the right side and more data on the left side. It is also called a positive histogram.

As we can see in the histogram of Mrs. Jamisos class and Mr. Zimmermann's class, there is fewer data on the right side, hence it is right side skewed.

Thus, agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.

Learn more about the histogram here:

brainly.com/question/16819077

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Answer:True

Step-by-step explanation: I did a quiz on it

Answer:

it is true am I right of this question

Answer:

A

Step-by-step explanation:

from age 5 to age 15 the number of hourse watched goes up and so on

Answer:

(45÷9) - 3

5-3

=2 is a required answer

hope it is helpful to you

The number of years it will take until the stalactite is 1 meter long is; 70 years

From conversion units, we know that;

1 m = 100 cm

1 cm = 100 m

Current length is given as 72 cm

Thus;

Length after x years = 1 m = 100 cm

Length increase in x years  = 100 -72 = 28 cm

Since 1 cm = 10 mm

Then;

Length increase in x years  in mm = 28 * 10 = 280 mm

Thus;

Length increase in 1 year = 4 mm

Length increase in x years = 4x mm

Then; 4x  = 280

x = 70

Thus, it will take 70 years  until it is 1 meter long.

Read more about Units of Measurement at; https://brainly.com/question/777464

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Answer:

It could be =15 or =0

Step-by-step explanation:Multiplying each side of −3x+4y=20

by 2 gives −6x+8y=40

. Adding each side of −6x + 8y = 40 to the corresponding side of 6x+3y=15

gives 11y=55,ory=5

. Finally, substituting 5 for y in 6x+3y=15

gives 6x+3(5)=15,orx=0

.

Answer:

x-3y=15 has a y-intercept of -5

Step-by-step explanation:

A y-intercept occurs when x = 0. So, when x = 0, which function has a y-value of -5?

Plug in 0 for all the values of x and solve for y.

1. 2(0)+y=-10; y=-10

2. (0)-y=-5; y = 5

3. (0)-3y=15; y = -5

4. -(0)+4y=20; y= 5

Answer: change, position, shape

Step-by-step explanation: