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mestny [16]
3 years ago
9

Find the missing side of the triangle

Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0

Answer:

x = 2\sqrt{5}

Step-by-step explanation:

2² + 4² = x²

4 + 16 = x²

\sqrt{x^2} = \sqrt{20}

x = \sqrt{2^2} × \sqrt{5}

x = 2\sqrt{5}

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bixtya [17]

Answer: Numbers of servings: 10 and 13, Liters of punch: 14

Step-by-step explanation:

Number of servings - 6 = Liters of punch.

4 0
2 years ago
A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distribut
klemol [59]

Answer:

Step-by-step explanation:

Since the amount of soft drink dispensed into a cup is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = amount in ounce of soft drink dispensed into cup.

µ = mean amount

σ = standard deviation

From the information given,

µ = 7.6oz

σ = 0.4 oz

a) The probability that the machine will overflow an 8-ounce cup is expressed as

P(x > 8) = 1 - P(x ≤ 8)

For x = 8,

z = (8 - 7.6)/0.4 = 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.84

P(x ≤ 8) = 1 - 0.84 = 0.16

b) P(x< 8) = 0.84

c) when the machine has just been loaded with 848 cups, the number of cups expected to overflow when served is

0.16 × 848 = 136 cups

4 0
3 years ago
A physical trainer decides to collect data to see if people are actually weight changing weight during the shelter in place. He
telo118 [61]

Answer:

H0: µd = 0 (claim)

H1: µd ≠ 0

This is a two-tail t-test for µd

Step-by-step explanation:

This is a paired (dependent) sample test, with its hypothesis is written as :

H0: µd = 0

H1: µd ≠ 0

From the equality sign used in the hypothesis declaration, a not equal to ≠ sign in the alternative hypothesis is used for a two tailed t test

The data isn't attached, however bce the test statistic cannot be obtained. However, the test statistic formular for a paired sample is given as :

T = dbar / (Sd/√n)

dbar = mean of the difference ; Sd = standard deviation of the difference.

3 0
3 years ago
I’ve asked 3 times and no one knows pls helpahh
BigorU [14]
<h3>Answer:  x = 21</h3>

Explanation:

The two angles shown combine to 180 degrees because the angles form a straight line.

(3x+18)+(4x+15) = 180

7x+33 = 180

7x = 180-33

7x = 147

x = 147/7

x = 21

7 0
3 years ago
ANSWER QUICK INSANELY EASY 4TH GRADE MATH EASY
stepan [7]

Answer: 40

Step-by-step explanation:

7 0
2 years ago
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