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Alexeev081 [22]
3 years ago
15

a baker wants to make 10 batches of cookie. each batch uses 2/3 cup.of sugar. how many cups of sugar will the baker need to make

all 10 batches
Mathematics
1 answer:
Alchen [17]3 years ago
3 0

Answer:

10 x 2/3 = 20/3 or 6 cups and 2/3

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A car salesman receives a base weekly salary of $150 plus a commission of $325 per car sold. What is the equation that models th
Temka [501]

Given :

Weekly salary , S = $150.

Commission per car , C = $325.

To Find :

The the equation that models the weekly salary of a car salesman.

Solution :

We know it is a quadratic equation :

Let , the equation is , y = mx + c

Here, x is number of car sold in a week.

For  x = 0 ( He will not get commission)

So , Salary is $150 = c .

For x = 1

Salary is $( 150 + 325 ) = $475 = m(1) + c

Therefore , m = $325 and c = $150.

Required linear equation is y = 325x + 150.

Hence, this is the required solution.

5 0
3 years ago
-2x + 10 +4x=70 (what is X?)
Dovator [93]

Answer:

x = 30

Step-by-step explanation:

-2x + 10 +4x=70

      -10          -10

-2x + 4x = 60

2x = 60

/2      /2

x = 30

8 0
3 years ago
Read 2 more answers
an entrepreneur buys some microscopes. Each one costs $700 and resells online for $959. What percentage is the mark-up?​
tester [92]

Answer:

72.99%

Step-by-step explanation:

7 0
2 years ago
A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distri
Softa [21]

Answer:

The data item is X = 580

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 400 and a standard deviation of 60.

This means that \mu = 400, \sigma = 60

z=3

We have to find X when Z = 3. So

Z = \frac{X - \mu}{\sigma}

3 = \frac{X - 400}{60}

X - 400 = 3*60

X = 580

The data item is X = 580

6 0
3 years ago
According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits abo
Minchanka [31]

Answer:

B. The mean amount of CO_2 emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg

Step-by-step explanation:

A Type II error is the failure to reject a false null hypothesis.

Given the null and alternate hypothesis of a fuel company which wants to test a new type of gasoline designed to have lower CO_2 emissions.:

H_0: \mu = 8.9 kg\\H_a: \mu < 8.9 kg \\\text{ (where \mu is the mean amount of CO_2 emitted by burning one gallon of this new gasoline)}

where \mu is the mean amount of CO_2 emitted by burning one gallon of this new gasoline.

If the null hypothesis is false, then:

H_a: \mu < 8.9 kg

A rejection of the alternate hypothesis above will be a Type II error.

Therefore:

The Type II error is: (B) The mean amount of CO_2  emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg.

8 0
3 years ago
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