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STALIN [3.7K]
3 years ago
7

Help me please I have to finish this by tonight

Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0

Answer:

a=13 b=13

Step-by-step explanation:

Because the triangles are congruent, their corresponding angles will be congruent, too.

So, ∠Y≅∠S  and ∠Z≅∠T.

Set the values of these angles equal to each other and solve.

∠Y≅∠S               ∠Z≅∠T

4a-4= 48                5b-3= 62

4a=52                    5b= 65

a=13                        b= 13

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The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviati
Effectus [21]

Answer:

His jump was of 272.45 inches

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 263, \sigma = 14

75th percentile

X when Z has a pvalue of 0.75. So X when Z = 0.675

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

0.675 = \frac{X - 263}{14}

X - 263 = 14*0.675

X = 272.45

His jump was of 272.45 inches

7 0
3 years ago
Read 2 more answers
Can someone pls help me with number 5 pls show your work so i can understand thanks
Natali [406]

Step-by-step explanation:

Let's represent Aaron's age with x and

Charlene's age with x+8

x+x+8=44

2x+8=44

2x=44-8

2x=36

x=36÷2

x=18

Aaron is 18 years old.

While Charlene is 18+8=26 years old.

<em>Hope this </em><em>helps!</em>

7 0
3 years ago
A rectangular banner covers an area of 2 7/8ft2. The length of the banner is 3/4ft. What is the width of the banner in ft?
hichkok12 [17]

Answer:

Width of the rectangular banner is 3\frac{5}{6} ft.

Step-by-step explanation:

Area of the rectangular banner = 2\frac{7}{8} square feet

                                                    = \frac{23}{8} square feet

Area of rectangle is given by,

Area = Length × Width

Length of the banner = \frac{3}{4} feet

From the formula,

\frac{23}{8}=\frac{3}{4}\times W

W = \frac{\frac{23}{8} }{\frac{3}{4} }

    = \frac{23}{8}\times \frac{4}{3}

    = \frac{23}{6}

     = 3\frac{5}{6} ft

Therefore, width of the rectangular banner is 3\frac{5}{6} ft

7 0
3 years ago
What is the value of this expression?
mylen [45]

9514 1404 393

Answer:

  2

Step-by-step explanation:

I find it convenient to remember that a logarithm is an exponent.

  \log_a(a^b)=b

__

  log₂(8) +log₃(1/3) = log₂(2³) +log₃(3⁻¹)

  = 3 -1 = 2

The value of the expression is 2.

__

Some calculators can compute this for you directly.

6 0
3 years ago
The reminder when the square of any prime number greater than 3 is divided by 6 is ​
tresset_1 [31]

Answer:

(A) 1(B) 3 (C) 2(D) 4

Step-by-step explanation:

7 0
4 years ago
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