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2 years ago

A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.

Mathematics

1 answer:

marusya05 [52]2 years ago

3 0

Answer:

hey bud i dont think you finished the question?

Step-by-step explanation:

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Suppose that Stephen is the quality control supervisor for a food distribution company. A shipment containing many thousands of

OLga [1]

Answer:

probability that his sample will contain at least one damaged apple (P) = 0.7215

Step-by-step explanation:

Given:

Probability of damaged apples (p) = 12% = 0.12

number of samples (n) = 10

Consider,

x- number of apples damaged.

Using Binomial distribution formula:

P(x) = $(nCx) (P)^x (1-p)^(n-x)$

To find the probability that his sample will contain at least one damaged apple:

P(x≥1) = 1 - P(x<1)

= 1 - P(x=0)

= 1 - $10C_0 (0.12)^0 ( 1-0.12)^(10)$

P(x≥1) = 0.7215

4 0

3 years ago

While visiting a memorial, a person approximated the angle of elevation to the top of the memorial to be 35º. After walking 255

Alenkasestr [34]

Draw a diagram to illustrate the problem as shown in the figure below.

Let h the height of the hill. =

At position A, the angle of elevation is 40°, and the horizontal distance to the foot of the hill is x.

By definition,

tan(40°) = h/x h = x tan40 = 0.8391x

(1)

At position B, Joe is (x - 450) ft from the foot of the hill. His angle of elevation is

40 + 18 = 58°.

By definition, tan(58°) = h/(x - 450)

h = (x - 450) tan(58°) = 1.6003(x-450)

h = 1.6003x - 720.135 (2)

Equate (1) and (2).

1.6003x - 720.135 = 0.8391x 0.7612x = 720.135

x = 946.0523

From (1), obtain

h = 0.8391*946.0523 = 793.8 ft

Answer: The height of the hill is approximately 794 ft (nearest integer)

6 0

2 years ago

1( below is the pre image dilate by a factor of 2

bonufazy [111]

Before:It's too short. Write at least 20 characters to explain it well.

After:It's too short. Write at least 20 characters to explain it well.

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bx%7D%20%20-%20%20%20%7B3%7D%5E%7Bx%7D%20%20%3D%20%20%20%20%5Csqrt%7B%20%7B6%7D

strojnjashka [21]

Answer:

x = 0

Step-by-step explanation:

${2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {9}^{x } } \\ \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {( {3}^{2}) }^{x } } \\ \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {({3)}^{2x}}}\\ \\ {2}^{x} - \cancel{{3}^{x}} = \sqrt{ {6}^{x} } - \cancel{ {3}^{x} } \\ \\ {2}^{x} = \sqrt{ {6}^{x} } \\ squaring \: both \: sides \\ \\ {( {2}^{x} )}^{2} = {(\sqrt{ {6}^{x} })}^{2} \\ \\ {2}^{2x} = {6}^{x} \\ \\ {2}^{2x} = {(2 \times 3)}^{x} \\ \\ {2}^{2x} = {2 ^{x} \times 3}^{x} \\ \\ \frac{ {2}^{2x} }{ {2}^{x} } = 3^{x} \\ \\ {2}^{2x - x} = {3}^{x} \\ \\ {2}^{x} = {3}^{x} \\ \\ \frac{ {2}^{x} }{ {3}^{x} } = 1 \\ \\ \bigg( \frac{2}{3} \bigg)^{x} = 1 \\ \\ \implies \: x = 0 \\ \\ \because \: for \: x = 0 \\ \\ \bigg( \frac{2}{3} \bigg)^{0} = 1$

5 0

3 years ago

What is the measure of XYZ?<br> O A. 75°<br> O B. 56.5°<br> O C. 38°<br> O D. 76

tatyana61 [14]

is there a picture i can use to help out?

4 0

3 years ago