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Masja [62]
3 years ago
14

Anastasia’s mom baked a giant sugar cookie for her birthday. On her birthday, ⅝ of the birthday cookie was eaten. The next day h

er brother ate ¼ of what remained.
How much of the cookie was left for Stephanie to eat after lunch?
Mathematics
1 answer:
devlian [24]3 years ago
6 0

Answer:

9/32 of the cookie was left for Stephanie to eat after lunch

Step-by-step explanation:

Anastasia’s mom baked a giant sugar cookie for her birthday.

On her birthday, ⅝ of the birthday cookie was eaten.

So, remaining cake =1 - \frac{5}{8}=\frac{3}{8}

The next day her brother ate ¼ of what remained.

Amount of cake eaten by her brother = \frac{1}{4}(\frac{3}{8})=\frac{3}{32}

So, remaining cake = \frac{3}{8}-\frac{3}{32}=\frac{12-3}{32}=\frac{9}{32}

Hence 9/32 of the cookie was left for Stephanie to eat after lunch

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For some postive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770. The value of Z is
Talja [164]

Answer:

1.16

Step-by-step explanation:

Given that;

For some positive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770.

This implies that:

P(0<Z<z) = 0.3770

P(Z < z)-P(Z < 0) = 0.3770

P(Z < z) = 0.3770 + P(Z < 0)

From the standard normal tables , P(Z < 0)  =0.5

P(Z < z) = 0.3770 + 0.5

P(Z < z) =  0.877

SO to determine the value of z for which it is equal to 0.877, we look at the

table of standard normal distribution and locate the probability value of 0.8770. we advance to the  left until the first column is reached, we see that the value was 1.1.  similarly, we did the same in the  upward direction until the top row is reached, the value was 0.06.  The intersection of the row and column values gives the area to the two tail of z.   (i.e 1.1 + 0.06 =1.16)

therefore, P(Z ≤ 1.16 ) = 0.877

8 0
3 years ago
Simplify √ 105 ..................................
olya-2409 [2.1K]

Answer:

Simplify √ 105  

A. 2√ 7  

B. 2√ 3  

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Step-by-step explanation:

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3 years ago
Given the formula A = pi r squared, how does the A vary in relation to the square of the radius?
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Answer:

D

Step-by-step explanation:

Abosluelt no relationship.

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2 years ago
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Question 3 of 10 A Assume EFG = JKL. If mLJ = 90°, mL K = 26°, and m&lt; L = 64°, what is the measure of &lt; E?
kumpel [21]

The measure of angle E will be 90 degrees as well.

Assume EFG = JKL.

If mLJ = 90°, mL K = 26°, and m< L = 64°,

<h3>What is the congruent triangle?</h3>

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We have been given an image of two congruent triangles.

Since, EFG = JKL

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m < J = 90° = m< E = 90

By congruence measure of angle, J will be equal to the measure of angle E.

Hence, The measure of angle E will be 90 degrees as well.

Learn more about congruent;

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There are 3 red marbles and 8 blue marbles in a bag.
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