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STatiana [176]
2 years ago
15

Mr. Holms used 4/5 of a carton of orange juice he used equal amount of the leftover juice for 2 servings what fraction of the wh

ole carton of juice did he use for each serving
Mathematics
1 answer:
liq [111]2 years ago
7 0

Answer:

Mr. Holms used 1/10 of the whole carton for each serving.

Step-by-step explanation:

Mr. Holms used 4/5 of the carton, which means he has 1/5 of the carton remaining from a whole carton and if he divides 1/5 among 2 servings he gets 1/5 divided by 2 is 1/10.

Check Your Answer: 4/5 divided among 2 servings would be 4/5+ 1/10 + 1/10 = 8/10 + 1/10 + 1/10 = 10/10 = 1 whole carton.

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A number increases by 10%, and then decreases by 10%. Will the result be greater than, less than, or equal to the original numbe
elena-s [515]
Given that the number is x,
10% increase will give us a new number of:
110/100*x
=1.1x
10% decrease will give us a new number of:
90/100*1.1x
=0.99x
This implies the new number is less than the original number 
3 0
3 years ago
The figure shows a parallelogram inside a rectangle outline:
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B.1/6 

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The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a ran
VARVARA [1.3K]

Answer:

The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.

Step-by-step explanation:

Let's define the random variable, X = "Comprehensive strength of concrete". We have information that X is normally distributed with a mean of 2500 psi and a standard deviation of  50 psi (or a variance of 2500 psi). In other words, X \sim N(2500, 2500).

We want to know the probability of the mean of X or \bar{X} that falls in the interval [2499;2510]. From inference theory we know that :

\bar{X} \sim N(2500, \frac{2500}{5}) \Rightarrow \bar{X} \sim N(2500,500)

Now we can find the probability as follows:

P(2499 \leq \bar{X} \leq 2510) \Rightarrow P(\frac{2499 - 2500}{500} \leq \frac{\bar{X} - 2500}{500} \leq \frac{2499 - 2500}{500} ) \Rightarrow\\\Rightarrow P(-0.002 \leq \frac{\bar{X} - 2500}{500} \leq 0.02 ) \Rightarrow P(-0.002 \leq Z \leq 0.02 )

Where Z \sim N(0,1), then:

P(-0.002 \leq Z \leq 0.02 ) \approx P(0 \leq Z \leq 0.02 ) = P(Z \leq 0.02 ) - P(Z \leq 0) \\P(0 \leq Z \leq 0.02 ) = 0.50798 - 0.5 = 0.00798

8 0
3 years ago
According to the graph, what is the experimental probability of selecting the letter T?
valentina_108 [34]

Answer: the answer is 1/5 I put 4 and got it wrong, after submitting the test it showed me the answer

4 0
2 years ago
The shorter leg of a right triangle is 6m shorter than the longer leg. the hypotenuse is 6m longer than the longer leg. find the
Gennadij [26K]
Short leg = x-6m
Longer leg =x
Hypotenuse = x+6m

x² + (x-6)² =(x+6)²
x² + x²-12x+36 = x²+12x+36
2x²-12x+36= x² +12x+36
2x²-12x+36-36= x² +12x+36-36
2x² - 12x-12x = x²+12x-12x
2x² -24x-x² = x²-x²
x² -24x = 0
x(x-24)=0
x = 24

Short leg = 24-6m = 18
Longer leg =24
Hypotenuse = 24+6m=30

Check
a² + b² = c²
18² +24² =30²
324 +576 = 900
900=900
7 0
3 years ago
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