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3 years ago

Boris's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Boris

1 answer:

4 0

X=pounds of Type A coffee
y=pounds of Type B coffee

QUANTITY EQUATION:
x+y=178

COST EQUATION:
$5.45x + $4.20y=$870.10

STEP 1:
Solve for one variable in equation one. Then substitute it in equation two.

x+y=178
subtract y from both sides of the equation
x=178-y

STEP 2:
substitute x=178-y in equation two

5.45x + 4.20y=870.10
5.45(178-y) + 4.20y=870.10
multiply 5.45 by everything in parentheses

(5.45*178)+(5.45*-y)+4.20y=870.10
970.10-5.45y+4.20y=870.10
combine like terms

970.10-1.25y=870.10
subtract 970.10 from both sides

-1.25y=-100
divide both sides by -1.25

y=80 pounds of type B coffee

STEP 3:
Substitute y=80 in either equation to solve for x

x+y=178
x+80=178
subtract 80 from both sides
x=98 pounds of type A coffee

ANSWER:
x=98 pounds of type A coffee
y= 80 pounds of type B coffee

CHECK:
Substitute answers for x & y into either equation to be sure it checks.

5.45x+4.20y=870.10
5.45(98)+4.20(80)=870.10
534.10+336=870.10
870.10=870.10

Hope this helps! :)

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The weights of tennis balls are normally distributed, with the mean being 5.15 ounces and the standard deviation being 0.10. wha

Llana [10]

The correct option is B.

Thus, 68% percentage of the balls weigh within one standard deviation of the mean.

<h3>What is the empirical formula rule?</h3>

The Empirical Rule indicates that 99.7% of data that are observed to have a normal distribution fall within 3 standard deviations of the mean. According to this formula, 68 percent of the data are within one standard deviation, 95 percent are within two standard deviations, and 99.7 percent are within three standard deviations of the mean.

<h3>According to the empirical formula rule:</h3>

Because approximately 68% of the data falls within a standard deviation of the mean, according to the empirical rule, 68% of the balls' weights fall within that range.

To know more about empirical formula rule visit:

brainly.com/question/1985421

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I understand that the question you are looking for is:

The weights of tennis balls are normally distributed, with the mean being 5.15 ounces and the standard deviation being 0.10. what percentage of the balls weigh within one standard deviation of the mean

A. 50%

B. 68%

C. 95%

D. 99.7%

7 0

2 years ago

What is 2 to the 3rd power × 4 to the 2nd power ??<br> plz answer thank you:)

sladkih [1.3K]

2x2x2=8
4x4=16
16x8=128
Hope this helps

5 0

4 years ago

athy's customer base is 2/3 residential and 1/3 business . if she has 350 residential customers, how many total customers does s

Ratling [72]

The answer is 525

2/3 of residential = 350 customers. so you divide 350 by 2. Which is 175. 175•3= 525

7 0

3 years ago

Read 2 more answers

One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the

Anestetic [448]

By definition, in an isosceles triangle, the two legs will have congruent lengths.

Since we know that one leg measures 5 inches, we know the other must measure 5 inches as well.

The Pythagorean Theorem states that in a right triangle, a² + b² = c².

Knowing that, we can substitute in our known values.

(5)² + (5)² = c²

From there, we can square our values.

(25) + (25) = c²

And from there, we can add the values together.

(50) = c²

Finally, we can find the square root of both values to give us the length of the hypotenuse.

7.07106781187 = c

And since we're rounding to the nearest tenth, we can rewrite this answer as:

7.1 = c

Therefore, the approximate length of the hypotenuse is 7.1 inches.

<em>Hope this helped! :)</em>

6 0

3 years ago

Read 2 more answers

Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music was

marysya [2.9K]

Answer:

There is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service

Step-by-step explanation:

The parameters of the music streaming service are;

The average number of households using Apple Music, $\overline {X}_1$ = 1.73 million

The standard deviation, σ₁² = 0.46 million

The average number of households using Spotify, $\overline {X}_2$ = 2.17 million

The standard deviation, σ₂² = 0.33 million

The significance level = 0.01

Hypothesis testing with different population standard deviation

$Z = \dfrac{\overline {X}_1 - \overline {X}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2}} }$

H₀: $\overline {X}_1$ ≠ $\overline {X}_2$

H₁: $\overline {X}_1$ = $\overline {X}_2$

$Z = \dfrac{1.73- 2.17}{\sqrt{\dfrac{0.46^2}{12} +\dfrac{0.33^2}{12}} } = -2.6923$

p-value for the test statistic = 2 × P(Z <-2.6923) = 2 × 0.00357 = 0.00714

Therefore, the p-value is less than the significance level, and it is therefore unlikely that the result will be observed under the null hypothesis

We therefore reject the null hypothesis and there is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service

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3 years ago