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antiseptic1488 [7]
3 years ago
13

What is this figure ?

Mathematics
1 answer:
Lerok [7]3 years ago
5 0

Answer:

B) rhombus

Step-by-step explanation:

the tic marks on the lines indicate that they are congruent, not parallel there is no way of knowing for sure that those lines are parallel therefore it is not a parallelogram even though it looks like it  

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The body temperatures of adults are normally distributed with a mean of 98.6degrees° F and a standard deviation of 0.60degrees°
Schach [20]

Answer:

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, 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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 98.6, \sigma = 0.6, n = 36, s = \frac{0.6}{\sqrt{36}} = 0.1

If 36 adults are randomly​ selected, find the probability that their mean body temperature is greater than 98.4degrees° F.

This is 1 subtracted by the pvalue of Z when X = 98.4. So

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

By the Central Limit Theorem

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

Z = \frac{98.4 - 98.6}{0.1}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

6 0
3 years ago
If F(X)= 6X-4 and F(A)= 26 what is the value of a? Explain
sammy [17]
Easy if you know the formula

all this means is that your x value is a, and when it is, will give you the value 26.

f(a) = 6a - 4 = 26

6a = 30
a = 5
3 0
3 years ago
Read 2 more answers
Leo has $4.80 in dimes a d quarters he has 6 more dimes than quarters how many quarters does he have
Kryger [21]

Answer:

Step-by-step explanation:

he has 4.80 in dimes and quarters....dimes (d) are worth 0.10 and quarters (q) are worth 0.25

0.10d + 0.25q = 4.80

he has 6 more dimes then quarters

d = q + 6

====================

d = q + 6...so we sub q + 6 in for d, back into the other equation

0.10(q + 6) + 0.25q = 4.80

0.10q + 0.60 + 0.25q = 4.80

0.35q = 4.80 - 0.60

0.35q = 4.20

q = 4.20 / 0.35

q = 12 <====== there is 12 quarters

d = q + 6

d = 12 + 6

d = 18 <===== there is 18 dimes

6 0
3 years ago
Read 2 more answers
Alegbra Help3. A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded annually
Alex777 [14]
A) 500 × (1.015)^t =  f(t) <span>

b)
500 </span>× (1.015)^t = 800                       divide by 500
           (1.015)^t = 1.6                           solve for t
                       t <span>≈</span> 31.57 years
    
<span>

</span>
8 0
3 years ago
Please help me if you know the answer and can you explain it to me
Slav-nsk [51]

Answer:

13

Step-by-step explanation:

its the longest side

6 0
3 years ago
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