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2 years ago

7

What's 6/7 written as a fraction with a denominator of 42

1 answer:

zimovet [89]2 years ago

3 0

36/42
multiply the top and bottom by 6.
7 x 6 = 42
6 x 6= 36

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A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than c

disa [49]

Answer:

There is sufficient evidence. A further explanation is provided below.

Step-by-step explanation:

According to the question,

The alternative as well as null hypothesis will be:

$H_0:\mu = 16$

$H_a:\mu>16$

The test statistics will be:

⇒ $z = \frac{\frac{\bar x - \mu}{\sigma} }{\sqrt{n} }$

By putting the values, we get

⇒ $=\frac{\frac{16.06-16}{0.24} }{\sqrt{96} }$

⇒ $=\frac{\frac{0.06}{0.24} }{\sqrt{96} }$

⇒ $=2.45$

Or,

The p-value will be:

= 0.0071

i.e.,

⇒ $p-value< \alpha$

Thus the above is the correct answer.

6 0

3 years ago

Which point represents 2 1/4 on the graph

svlad2 [7]

Answer:

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Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Need help on these trig homework

allochka39001 [22]

8. The length of the support is 7. 9 m

9. The length of the conveyer is 12m

3. a = 59m

A = 44°

B = 52°

4. c = 88. 6 mm

b = 49. 1 m

B = 34°

<h3>How to solve the trigonometry</h3>

8. We have the angle to be 20 degrees

Opposite side = x

hypotenuse = 23m

Using the sine ratio

sin θ = opposite/ hypotenuse

$sin 20 = \frac{x}{23}$

Cross multiply

$sin 20$ × $23 = x$

$x = 0. 3420$ × $23$

x = 7. 9 m

The length of the support is 7. 9 m

9. The angle of elevation is 37. 3 degrees

Hypotenuse = 19 . 0m

Opposite = x

Using the sine ratio

sin θ = opposite/ hypotenuse

$sin 37. 3 = \frac{x}{19}$

cross multiply

$x = 0. 6059$ × $19$

x = 11.5

x = 12 m in 2 significant figures

The length of the conveyer is 12m

3. To determine the sides and angles, we use the sine rule;

$\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}$

For side a, we use the Pythagorean theorem

$c^2 = a^2 + b^2$

$85^2 = a^2 + 67^2$

$a = \sqrt{89^2-67^2}$

$a = \sqrt{3432}$

a = 58. 58, a = 59m

To find angle A and B, use the sine rule

$\frac{59}{sin A } = \frac{85}{sin 90}$

cross multiply

$sin A$ × $85$ = $sin 90$ × $59$

make sin A subject of formula

$sin A = \frac{59}{85}$

$sin A = 0. 6941$

A = $sin^-^1(0. 6941)$

A = 44°

$\frac{67}{sin B} = \frac{85}{sin 90}$

cross multiply

$sin B$ × $85$ = $sin 90$ × $67$

make sin b subject of formula

$sin B = \frac{67}{85}$

$sin B = 0. 7882$

B = $sin^-^1( 0. 7882)$

B = 52°

4. To find the sides, we use the sine rule;

$\frac{74. 0}{sin 56. 6} = \frac{c}{sin 90}$

Cross multiply

$sin 56. 6$ × $c = sin 90$ × $74$

make 'c' subject of formula

$c = \frac{74}{0. 8348}$

c = 88. 6 mm

To find length b, we use the Pythagorean theorem

$c^2 = a^2 + b^2$

$b^2 = c^2 - a^2$

$b^2 = 88. 8^2 - 74^2$

$b = \sqrt{7885. 44 - 5476}\\\\ b = \sqrt{2409. 44}$

b = 49. 1 m

$\frac{74. 0}{sin 56. 6} = \frac{49. 1}{sin B}$

cross multiply

$sin B = \frac{40. 99}{74. 0}$

B = $sin^-^1(0. 5539)$

B = 34°

Learn more about trigonometric identity here:

brainly.com/question/7331447

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3 0

1 year ago

Tulsa has 4 times as many mangoes as Julie. Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie . How many

vova2212 [387]

Answer:

24

Step-by-step explanation:

Let the number of mangoes owned by Tulsa be T and that by Julie be J

If Tulsa has 4 times as many mangoes as Julie then

T = 4J

Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie

T + 6 = 5J

Solve both equations simultaneously by substitution

4J + 6 = 5J

Collect like terms

6 = 5J- 4J

J = 6

Since

T = 4J

T = 4 * 6

= 24

Hence Tulsa had 24 mangoes at first

8 0

2 years ago

The cafeteria has 6 round tables and 23 rectangular chairs tables. If each round table has 7 chairs ,and each rectangular table

shtirl [24]

Answer:

456

Step-by-step explanation:

Number of chairs around the round tables = 6×7=42

Number of chairs around the rectangular tables =23×18=414

The total number of chairs in the cafeteria = 6×7+23×18=456

4 0

3 years ago