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Vlad1618 [11]
2 years ago
6

A tomato sauce recipe calls for 3/4 Cups of basil for each 1/8 teaspoon of salt. If 1 cup of basil

Mathematics
1 answer:
Rainbow [258]2 years ago
5 0
<h3>Answer: 1/6 teaspoon of salt</h3>

Work Shown:

3/4 cups basil : 1/8 teaspoon of salt

1 cup basil : (4/3)*(1/8) teaspoon of salt

1 cup basil : (4*1)/(3*8) teaspoon of salt

1 cup basil : 4/24 teaspoon of salt

1 cup basil : 1/6 teaspoon of salt

You'll split a full teaspoon into 6 smaller pieces, and only use one of those pieces.

You might be interested in
8x+y=300
Bond [772]
D. The elevator takes 37.5 seconds to move down to the lobby.


8x+y=300

y= 300-8x
y= 300 - 8 (37.5)

y = 300-300
y = 0

wheb y =0 that means that the height is 0
5 0
3 years ago
During the spring car wash, the activities club washed 14 fewer cars than during the summer car wash. They washed a total of 96
Mashutka [201]
You can make an equation to solve this, but establishing knowns, unknowns, and relationships.

# in spring wash = x
# in summer       = x + 14
Total Washes     = 96

we know:
total = summer + spring

96 = (x) + (x + 14)
96 = 2x + 14
82 = 2x

"x" = 41

4 0
2 years ago
ABCD is a rectangle ,its diagonals meet at O.If AO = 5x+1 and BO = 4x+9,find the length of the diagonals .(lengths in cm).
Sergeu [11.5K]

Answer:

82 cm

Step-by-step explanation:

In rectangles diagonals are equal and bisect each other

AO = BO

5x + 1 = 4x + 9

Subtract 1 from  both sides

5x  = 4x + 9 -1

5x = 4x + 8

Subtract 4x from both the sides

5x - 4x = 8

x = 8

AO = 5x + 1

     = 5*8  +1

     = 40 + 1

AO= 41 cm

Diagonal = 2*41 = 82 cm

7 0
3 years ago
A sample size 25 is picked up at random from a population which is normally
Margarita [4]

Answer:

a) P(X < 99) = 0.2033.

b) P(98 < X < 100) = 0.4525

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 100 and variance of 36.

This means that \mu = 100, \sigma = \sqrt{36} = 6

Sample of 25:

This means that n = 25, s = \frac{6}{\sqrt{25}} = 1.2

(a) P(X<99)

This is the pvalue of Z when X = 99. So

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

By the Central Limit Theorem

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

Z = \frac{99 - 100}{1.2}

Z = -0.83

Z = -0.83 has a pvalue of 0.2033. So

P(X < 99) = 0.2033.

b) P(98 < X < 100)

This is the pvalue of Z when X = 100 subtracted by the pvalue of Z when X = 98. So

X = 100

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

Z = \frac{100 - 100}{1.2}

Z = 0

Z = 0 has a pvalue of 0.5

X = 98

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

Z = \frac{98 - 100}{1.2}

Z = -1.67

Z = -1.67 has a pvalue of 0.0475

0.5 - 0.0475 = 0.4525

So

P(98 < X < 100) = 0.4525

6 0
2 years ago
Subtract. 99.28 8.87​
Yuliya22 [10]
99.28 - 8.87 = 90.41
5 0
3 years ago
Read 2 more answers
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