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Angelina_Jolie [31]
2 years ago
7

At the local grocery store a 16-ounce bottle of apple juice costs $3.20. What is the cost of apple juice per ounce?

Mathematics
1 answer:
kirza4 [7]2 years ago
4 0

Answer: $0.50

Step-by-step explanation:

16 divided by $3.20 is equal to $0.50. Hope this helps :)

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Answer: it equals 20

Step-by-step explanation:

10 x 20 = 120, hoped this helped.

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The recommended angle for a firefighting ladder is 75°. When a 110-foot ladder
Licemer1 [7]

Answer:106.38 feet

Step-by-step explanation:

This can be solved by using pythagoras theorem

 

c=110 feet

b=28 feet

a=?

a=sqrt(110^2-28^2)

=sqrt(12100-784)

=sqrt(11316)

=106.3766 feet

=106.38

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3 years ago
Which of the following statements is not true about corresponding sides?. . A.They are proportional for similar polygons.. . B.T
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The correct answer among the choices listed is option C. The statement that is not true about corresponding sides is that they are connected by a vertex. Corresponding sides are not connected, they are separate parts in similar polygons.
5 0
2 years ago
In the Salk vaccine field trial, 400,000 children were part of a randomized controlled double-blind experiment. Just about half
EastWind [94]

Answer:

Step-by-step explanation:

From the given information:

The number of children that were randomly allocated to each vaccination group; n₁ = 200,000

No of polio cases X₁ = 57

Now, in the vaccine group:

the proportion of polio cases is:

\hat p_1 = \dfrac{57}{200000}

=  0.000285

The number of children that were randomly allocated to the placebo group, n₂ = 200,000

No of polio cases X₂ = 142

In the placebo group

the proportion of polio cases is:

\hat p_2 = \dfrac{142}{200000}

Null and alternative hypothesis is computed as follows:

H₀: There is no difference in the proportions of polio cases between both groups.  

H₁: There is a difference in the proportions of polio cases between both groups.

Let assume that the level of significance ∝ = 0.05

The test statistic  can be computed as:

Z = \dfrac{\hat p_1-\hat p_2}{\sqrt{\dfrac{\hat p_1 \hat q_1}{n_1}+ \dfrac{\hat p_2 \hat q_2}{n_2}}}

Z = \dfrac{0.000285-0.000710}{\sqrt{\dfrac{0.000285(1-0.000285)}{200000}+ \dfrac{0.000710(1-0.000710)}{200000}}}

Z = \dfrac{-4.25\times 10^{-4}}{\sqrt{\dfrac{0.000285(0.999715)}{200000}+ \dfrac{0.000710(0.99929)}{200000}}}

Z = - 6.03

P-value =  2P(Z < -6.03)

From the Z - tables

P-value =  2 × 0.0000

= 0.000

We reject the H₀ provided that P-value is very less.

Therefore, we may conclude that there is a difference in the proportions of polio cases between the vaccine group and placebo group not due to chance.

7 0
2 years ago
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