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olya-2409 [2.1K]
3 years ago
12

Help me on number problem 3 please

Mathematics
1 answer:
ss7ja [257]3 years ago
4 0
A hot dog is $2 and a hamburger is $1.50.

Simple explanation:
Make a system of equations:
h=number of hot dogs, b=number of hamburgers
1h + 2b = $5
3h + 2b = $9
Solve
h=$2, b=$1.50
Long explanation:
The difference between them is tha Gage bought 2 more hot dogs than Josh, and Gage had to pay 4 more $. So, the price of one hot dog must be 4/2=$2.
Now we know that one hot dog costs $2.
To find the price of a hamburger, choose one person and calculate the price of the hot dogs he brought, and subtract that result from the price he paid. Then, divide that difference by the number of hamburgers he bought to get the price of a hamburger.
The price of Gage’s hot dogs is 3x2=$6. He paid $9, so that is $3 more than 6. He also bought 2 hamburgers, so the price of one hamburger is $3/$2=$1.50.
Price
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Based on a random sample of 25 units of product X, the average weight is 102 lbs., and the sample standard deviation is 10 lbs.
Alex

Answer:

Step-by-step explanation:

Given that for a sample size of 25, sample mean = 102 lbs. and sample std deviation = 10 lbs.

H_0: \bar x = 100\\H_a: \bar x >100

(Right tailed test)

Given that we assume population is normally distributed

Test statistic:

Mean difference = +2

Std error of sample = \frac{10}{\sqrt{25} } =2

t = test statistic = Mean diff/Std error = 1

degree of freedom= n-1 =24

Critical value of t = 1.711

Our test statistic >1.71

Accept alternate hypothesis

Because there is significant difference between the test statistic and test statistic lies above critical value.

3 0
3 years ago
The intensity of a sound varies inversely where of its distance from the source at a distance of 1 meter the intensity of a jet
xz_007 [3.2K]

Answer:

  1/250 W/m² or 0.004 W/m² or 4 mW/m²

Step-by-step explanation:

The cargo worker is (50 m)/(1 m) = 50 times the reference distance. The intensity varies as the inverse of the square of the distance, so will be ...

  (1/50)²×(10 W/m²) = 10/2500 W/m² = 1/250 W/m²

This might be more conveniently written as 4 mW/m².

4 0
3 years ago
To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the a
aleksandrvk [35]

Answer: 480 milligrams

Step-by-step explanation:

We can solve this by using direct proportion whereby y = kx

where,

x = patient's weight = 92 pounds

k = constant

y = milligrams of antibiotics = 320

Using y = kx

320 = 92k

k = 320/92

k = 3.4782609

The antibiotic that should be given to a patient who weighs 138 pounds will be:

y = kx

y = 3.4782609 × 138

y = 480 milligrams

The antibiotic that should be given to a patient who weighs 138 pounds is 480 milligrams.

7 0
3 years ago
Read 2 more answers
A study was conducted to determine how bacteria cells multiply over time in a controlled environment. In the study, the bacteria
DENIUS [597]

Answer:

Dependent variable → bacteria cell increase or population

Independent variable → time variable

Step-by-step explanation:

An independent variable has direct effect on the dependent variable. The independent variable can stand on it own and it is not change by the other variable you are trying to measure. The independent variable have direct effect on the dependent variable.

A dependent variable is actually the variable being tested in an experiment. The dependent variable is actually dependent on the independent variable.

The dependent variable in this scenario is the bacteria cell increase or the bacteria cell multiplication.  The bacteria cell increase is dependent on the time . The time variable is the independent  variable as it can stand on it own .

Dependent variable → bacteria cell increase or population

Independent variable → time variable

8 0
3 years ago
What is y=-3x+2 in table form
Gnesinka [82]
X=2/3
This is the answer

In other way is

X=0.6
7 0
3 years ago
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