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navik [9.2K]
3 years ago
5

jacob poured 5/6 cup of orange juice and a cup 5/8 of cranberry juice into a pitcher . He drank 1/2 cup of the juice in the pitc

her. How many cups of juice are left in the pitcher?​
Mathematics
1 answer:
schepotkina [342]3 years ago
7 0
We set up the problem first.

5/6 + 5/8 - 1/2.

We would first find a common denominator. It is 24.

Then we see how many times can 24 go into 6, 8, and 2.

We make them into improper or regular fractions, and we subtract regularly.

20/24 + 15/24 - 12/24 = 23/24.

So your answer would be 23/24.

Hope this helps☻
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You emptied a cylindrical shark tank at the aquarium to clean it. The aquarium has a radius of 13 feet and a height of 18 feet.
mel-nik [20]
9556.72 cubic feet of water is needed to refill the tank.
3 0
3 years ago
Read 2 more answers
25.2 + 800 - 427..43 × 2.4 ÷ 13​
Vinil7 [7]

Step-by-step explanation:

25.2 + 800 - 427.43 x 2.4 ÷ 13

825.2 - 1025.832 ÷ 13

200.632 ÷ 13

= 15.44

6 0
3 years ago
The edge of Robbie’s favorite pizza pie from Pizza Hut is 34.1 inches. How much cheese did the store use to cover Robbie’s favor
nikdorinn [45]

You divide circumference by 3.14 to find the diameter

Divide the diameter by 2 to get the radius

Use the formula for area with the radius that you just found and you should get your answer

Step-by-step explanation:

3 0
3 years ago
Day care centers expose children to a wider variety of germs than the children would be exposed to if they stayed at home more o
Ostrovityanka [42]

Answer:

a) The study is an observational study

b) The proportion of children with significant social activity in children with acute lymphoblastic leukemia is approximately 0.802

The proportion of children with significant social activity in children without acute lymphoblastic leukemia is approximately 0.8565

c) The odds ratio is approximately 0.6780

d) The 95% CI is approximately 0.523 < OR < 0.833

e) i) Yes

ii) Children with more social activity have a higher occurrence of acute lymphoblastic leukemia

Step-by-step explanation:

a) An experimental study is a study in which the researcher adds inputs to the study and then monitors the outcomes

An observational study is one in which the researcher observes risk factors and does not intervene in the process

Therefore, the study is an observational study

b) The proportion of children with significant social activity in children with acute lymphoblastic leukemia is \hat p_1 = 1020/1272 = 85/106 = 0.8\overline {0188679245283} ≈ 0.802

The proportion of children with significant social activity in children without acute lymphoblastic leukemia is \hat p_2 = 5343/6238 ≈ 0.8565

c) We have the following two way table;

\begin{array}{ccc}Lymphoblastic \ Leukemia &With \ Social \ Activity & Without \ Social \ Activity\\With&1020 \ (a)&252 \ (b)\\Without&5343 \ (c)&895 \ (d) \end{array}

The \ odds \ ratio = \dfrac{1,020 \times 895}{5,343 \times 252} \approx 0.6780

The odds ratio ≈ 0.6780

d) The 95% confidence interval for the odds ratio is given as follows;

95 \% \ CI = OR \ \pm \ 1.96 \times \sqrt{\dfrac{1}{a} +\dfrac{1}{b}+\dfrac{1}{c}+\dfrac{1}{d}}

Where;

a = 1020, b = 252, c = 5343, d = 895

Therefore;

95 \% \ CI \approx  0.6780 \ \pm \ 1.96 \times \sqrt{\dfrac{1}{1,020} +\dfrac{1}{252}+\dfrac{1}{5,343}+\dfrac{1}{895}} \approx 0.678 \pm0.155

The 95% CI ≈ 0.523 < OR < 0.833

e) i) Given that the observed Odds Ratio is within the Confidence Interval, therefore, there is an indication that the amount of social activity is associated with acute lymphoblastic leukemia

ii) Based on the proportion of the study findings, children with more social activity have a higher occurrence of acute lymphoblastic leukemia

6 0
3 years ago
Today only, a table is being sold at 26% a discount. The sale price is $629. What was the price yesterday?
3241004551 [841]

Answer:

Today's price P must be 74% (100% - 26%) of yesterday's price Y. P = $555 = 74%*Y = 0.74*Y. Y = $555/0.74.

Step-by-step explanation:

Hope this helps if not sorry

3 0
3 years ago
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