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1 year ago

5

The SkyWheel has 42 glass enclosed gondolas. What is the measure of each central angle between gondola cars, to the nearest hund

redth degree? (just write the numerical answer, no units) (5 points)

1 answer:

lbvjy [14]1 year ago

5 0

Answer:

8.57.

Step-by-step explanation:

that would be 360/42

= 8.5714

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A local grocery story has strawberries on sale for $1.45 per pound. How much would it cost to buy 5.5 pounds of strawberries? Ro

myrzilka [38]

Answer: The cost of 5.5 pounds strawberries =$ 7.98

Step-by-step explanation:

Given: A local grocery story has strawberries on sale for $1.45 per pound.

i.e. Cost for 1 pound strawberries = $1.45

Now, Cost of 5.5 pounds strawberries = 5.5 x (Cost for 1 pound strawberries)

= $ (5.5 x 1.45)

= $ 7.975 ≈ $ 7.98 [ Round to the nearest penny]

Hence, the cost of 5.5 pounds strawberries =$ 7.98

5 0

2 years ago

A complex number z=a+bi had an absolute value of 3.28. What could the values of a and b be ? A.a=1.5,b=1.7 C.a=1.7,b=2.8

Levart [38]

The given complex number is ⇒ z = a + b i
The absolute value of z = √( a² + b² ) = 3.28
So, we will check which of the options will give 3.28

<span>( A) IF ⇒⇒ a=1.5 and b=1.7
</span>
<span>∴ √( a² + b² ) = √( 1.5² + 1.7²) = √5.14 ≈ 2.27
</span>
===================================

<span>(B) IF ⇒⇒ a=1.5 and b=3.3
</span>
<span>∴ √( a² + b² ) = √(1.5² + 3.3²) = √13.14 ≈ 3.62
</span>
====================================

<span>(C) IF ⇒⇒ a=1.7 and b=2.8
</span>
<span>∴ √( a² + b² ) = √(1.7² + 2.8²) = √10.73 ≈ 3.28
</span>
====================================

<span>(D) IF ⇒⇒ a=2.8 and b=3.3
</span>
∴ √( a² + b² ) = √(2.8² + 3.3²) = √18.73 ≈ 4.33
=====================================
So, the correct answer is option (C) <span>a=1.7,b=2.8</span>

4 0

3 years ago

A right triangle ABC is shown below: The area of the triangle above will equal one-half of a rectangle that is 5 units long and

wlad13 [49]

Answer:

2 units wide. area=1/2 of 5 x 2. so, 5 x 2 is 10. whats half of ten? 5. the area of the triangle is 5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If the square of a positive integer is added to 2 times the integer, the result is 195 . Find the integer

user100 [1]

A^2+2a=195
Quadratic Formula,
a=13,-15

3 0

2 years ago

In 2008, the average household debt service ratio for homeowners was 13.2. The household debt service ratio is the ratio of debt

ankoles [38]

Answer:

$t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436$

$df=n-1=44-1=43$

$p_v =P(t_{(43)}>1.436)=0.079$

We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).

Step-by-step explanation:

Information given

$\bar X=13.88$ represent the sample mean

$s=3.14$ represent the sample standard deviation

$n=44$ sample size

$\mu_o =13.2$ represent the value that we want to test

$\alpha=0.05$ represent the significance level

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test

Hypothesis to test

We want to conduct a hypothesis in order to check if the true mean has increased from 2008 , and the system of hypothesi are:

Null hypothesis: $\mu \leq 13.2$

Alternative hypothesis: $\mu > 13.2$

The statistic for this case is:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Calculating the statistic

Replacing the info given we got:

$t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436$

P-value

The degrees of freedom are:

$df=n-1=44-1=43$

Since is a right tailed test the p value is:

$p_v =P(t_{(43)}>1.436)=0.079$

Decision

We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).

8 0

3 years ago