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3 years ago

Can someone plzz help me with these 2 questions. thanks!

Mathematics

1 answer:

Deffense [45]3 years ago

6 0

9514 1404 393

Answer:

4. height: 5√3 cm; area: 25√3 cm²

5. 30√2 ft ≈ 42.43 ft

Step-by-step explanation:

4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...

height = (√3)/2 × (10 cm) = 5√3 cm

The area is given by the formula ...

A = 1/2bh

A = 1/2(10 cm)(5√3 cm) = 25√3 cm²

5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...

(30 ft)√2 ≈ 42.43 ft

The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.

d = √(30² +30²) = √1800 ≈ 42.43 . . . feet

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-2x+y+4z=5 x+3y-z=2 4x+y-6z=11

Damm [24]

-8 if you search it just use calculater

4 0

3 years ago

Help pleaseeeee!!!!!!!!!!!!

hjlf

Answer:

last one is the answer :)

6 0

3 years ago

Read 2 more answers

Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for

antiseptic1488 [7]

Answer:

Alternative hypothesis is that Worker productivity is higher with automatic dispensers.

The Rank for Group1 is 115.5 and Group 2 is 55.5.

Conclusion is that Worker productivity is higher with automatic dispensers.

Step-by-step explanation:

The null and alternative hypotheses are

H0: Group1 ≤ Group2 against the claim

Ha: Group1 > Group2

Alternative hypothesis is that Worker productivity is higher with automatic dispensers.

Calculations:

Group1 Group2

Sample Mean x ` 139.22 114.67

Sample size n 9 9

Sample SD 18.21 11.937

Rank 115.5 55.5

U 10.5 70.5

The Rank for Group1 is 115.5 and Group 2 is 55.5.

1. H0 hypothesis

As p-value < alpha and Z lies in the critical region, H0 is rejected.

The randomly selected value of Group1's population is considered have greater productivity than the randomly selected value of Group2's population.

2. P-value

The p-value equals 0.0046.

3. Test statistics

Z= u-μ+c/σ

The critical region for one tailed test for z at 0.01 significance level is

z > 2.33.

The test statistic Z equals 2.6063, which lies in the critical region of acceptance z> 2.326

4. Conclusion

As the calculated test statistic lies in the critical region H0 is rejected and it is concluded that

Worker productivity is higher with automatic dispensers. 

4 0

3 years ago

2. Using 50 for the number of weeks in a year is a(n) exponent

Paladinen [302]

There are 52 weeks in a year.

Using 50 for the number of weeks in a year is a(n) round.

Rounding is a process which we approximate the known number by just scaling it up or down.

In rounding the numbers less than 5 are scaled to one number less than the given integer and numbers such as 5 or above than 5 are scaled a number greater than the given number .

For example if there were 55 or more than weeks in a year we can say there are approximately 60 weeks in a year.

But there are 52 weeks so we round it to 50 weeks as 2 is less than 5.

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6 0

3 years ago

AHH HELP ME AGAIN :P THERES ONE MORE AFTER THIS

mihalych1998 [28]

Answer:

26.25

Step-by-step explanation:

y = 8.75(3)