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3 years ago

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Mathematics

1 answer:

serg [7]3 years ago

4 0

Answer:

Step-by-step explanation:

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The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April,

SSSSS [86.1K]

Answer:

Step-by-step explanation:

a) H0: $\bar x = 24.57$

Ha: $\bar x \neq 24.57$

(Two tailed test at 5% significance level)

b) n=30

Mean difference = $23.89-24.57 = - 0.68$

Std error of mean = $\frac{s}{\sqrt{n} } \\=\frac{2.40}{\sqrt{30} } \\=0.4382$

b) Test statistic t = mean diff/std error = -1.552

df = 30-1 =29

p value=0.0657

c) Since p > 0.05 our signi. level, we accept null hypothesis.

There is no significant difference between the means.

d) Using critical value we find that test statistic is > critical value left

So accept H0

8 0

3 years ago

Hector's service club is raising money by wrapping presents in the mall. The function f\left(x\right)=3xf(x)=3x describes the am

mestny [16]

Given:

The function f(x) describes the amount of money, in dollars, the club will earn for wrapping x presents.

$f(x)=3x$

To find:

The f(658).

Solution:

We have,

$f(x)=3x$

Substitute x=658 to find the value of f(658).

$f(658)=3(658)$

$f(658)=1974$

It means, the club will earn $1974 for wrapping 658 presents.

Therefore, $f(658)=1974$ .

7 0

2 years ago

Write as a decimal fraction of a cm (a) 5 mm (b) 8mm

lys-0071 [83]

1 mm = 0.1 cm

(a) 5 mm

5 × 0.1 = 0.5

Fraction :- 5/0.5
5 ÷ 0.5 =10
Decimal:- 10

(b) 8 mm

8 × 0.1 = 0.8

Fraction:- 8/0.8
8 ÷ 0.8 = 10
Decimal:- 10

8 0

2 years ago

Read 2 more answers

6. An ostrich cannot fly, but it is able to run fast. Suppose an ostrich runs east for 7.95 s and then runs 161 m south, so that

Liula [17]

Answer:

159 m

Step-by-step explanation:

From the information given:

It was stated that if the ostrich ran towards the east direction in 7.95 s, let say the distance from the starting point is O towards the east side E, let called the distance towards the east side to be OE.

Again, the ostrich then runs in the south direction for 161 m, let the distance be OS.

Also, let the magnitude of the resultant displacement between the east direction to the south direction be ES = 226m.

We are to find, the magnitude of the ostrich's eastward component.

i.e. The distance traveled from the center to the east direction within the time frame of 7.95 s.

Using the Pythagoras rule:

ES² = OE² + OS²

226² = OE² + 161²

226² - 161² = OE²

OE² = 226² - 161²

OE² = 51076 - 25921

OE² = 25155

$OE = \sqrt{25155}$