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olga nikolaevna [1]
3 years ago
5

Adrian's recipe for cranberry relish calls for 1 3_4cups of sugar. He wants to use 1_2that amount. How much sugar should he use?

Mathematics
1 answer:
elena-s [515]3 years ago
5 0

Answer:

7/8

Step-by-step explanation:

Andrea recipe for cranberry relish is

1 3/4

= 7/4

He wants to use 1/2 of that amount

Therefore the amount of sugar he should use can be calculated as follows

= 7/4×1/2

= 7/8

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What is the decimal value of 3 quarters and 2 dimes?
Radda [10]

Answer:

0.95

Step-by-step explanation:

Quarter = 0.25

Dime = 0.10

0.25+0.25+0.25= 0.75

0.10+0.10= 0.10

0.10+0.75 = 0.95

6 0
2 years ago
A rectangle has a length of x + 5 and width of x - 3. What is the area of the rectangle? Write the answer as a polynomial in sta
goldfiish [28.3K]

Answer:

Step-by-step explanation:

Area = length * width

length: x + 3

width: x - 5

A = (x + 3)(x - 5)

Simplify (x + 3)(x - 5) using the FOIL method:

 

1. First numbers: multiply the first number of each binomial together--x*x = x%5E2

2. Outer numbers: multiply the outer number of each binomial (out of the entire expression, the number farthest to the left (x) and the number farthest to the right (-5))--x*-5 = -5x

3. Inner numbers: multiply the inner number of each binomial--3*x = 3x

4. Last numbers: multiply the last number of each binomial--3*-5 = -15

==> Now, add all of the results together and combine like terms: x%5E2+-+5x+%2B+3x+-+15 = x%5E2+-+2x+-+15

Therefore, A = x%5E2+-+2x+-+15

8 0
3 years ago
A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new
faltersainse [42]

Answer:

The predictive value of a positive test is 18.2%.

Step-by-step explanation:

The population screened is 300.

The true prevalence value of the Lyme disease among clinic attendees is 10\% \Rightarrow 0.10.10% = 0.10.

The proportion that sensitivity is 60\% \Rightarrow 0.6060% = 0.60

The proportion of the specificity is 70\% \Rightarrow 0.70.70% = 0.70

Step 2 of 2

We have to calculate the probability value of the predictive value of positive test.

\begin{array}{c}\\\left( \begin{array}{l}\\{\rm{Positive Predictive }}\\\\{\rm{value}}\left( {PPV} \right)\\\end{array} \right) = \frac{{{\rm{Prevalence}} \times {\rm{Sensitivity}}}}{{\left( {{\rm{Prevalence}} \times {\rm{Sensitivity}}} \right) + \left( {{\rm{1 - Prevalence}} \times 1 - {\rm{Specificity}}} \right)}}\\\\ = \frac{{0.1 \times 0.60}}{{\left( {0.1 \times 0.60} \right) + \left( {1 - 0.1 \times 1 - 0.70} \right)}}\\\\ = \frac{{0.06}}{{0.33}}\\\\ = 0.181818\\\\ = 0.182{\rm{ }}\left( {{\rm{Round to 3 decimal place}}} \right)\\\end{array}  

(Positive Predictive  value, PPV) =

(Prevalence×Sensitivity)/Prevalence×Sensitivity +(1−Prevalence×1−Specificity)  

=   (0.1×0.60)/0.1×0.60  + (1−0.1×1−0.70) ​  

=    0.06 /0.33    

=   0.181818

(Positive Predictive  value, PPV) = 0.182 (3decimals)    

We have to convert the PPV into percentage,

\begin{array}{c}\\PPV = 0.182 \times 100\\\\ = 18.2\% \\\end{array}  

PPV=0.182×100

= 18.2% ​  

Therefore, the predictive positive value is 18.2%.

7 0
3 years ago
Ms. Figgs asked 25 students in her 7th-grade homeroom to select their favorite cookie. The results are recorded in the table bel
Artist 52 [7]

Step-by-step explanation:

Can you show a picture of the table, I can't help if I don't see the whole problem

8 0
3 years ago
A high school student named David Merrell did a study of how music affects the ability of rats to run a maze. He trained 71 rats
Alona [7]

Step-by-step explanation:

Heavy Metal "music" impacts negatively the long term memory, if at least the ability to access it.

while harmonic music has no blocking effect or maybe even strengthens the long term memory and the ability to access it.

here 3 remarks.

first 2 scientifically from psychology : memory works mostly associative. that means brains do not store absolute information like a digital computer, but always in combination and association with other pieces of information. if there is nothing else to remember (like a more or less random pattern of sound effects for that the brain cannot find a rule or concept for), there are no associations with presented pieces of information, and the storage and access to it is much harder and restricted.

and - loud crashing and seemingly random noise triggers the panic mode in our brains. and panic is the mode favoring pure instinct and suppressing cognitive functions.

and finally, personally, it just confirms what I literally feel when listening to such music : it destroys at that moment any ability to keep a straight thought, prolonged exposure gives me the feeling that something gets broken inside my brain and thought processes.

I suspect that this is exactly the feeling that the fans of this kind of music are after (kind of like most drugs), but I am not surprised that there actually is something broken in the brain (again, as with drugs).

4 0
2 years ago
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