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Marysya12 [62]
3 years ago
12

What is the value of x? Enter your answer in the box.

Mathematics
1 answer:
Grace [21]3 years ago
3 0
The shapes are similar.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Therefore,
\frac{42}{(15 + 42)} = \frac{x}{10 + x}

Simplify:
\frac{42}{57} = \frac{x}{10 + x}
Cross multiply:
42(10+x) = 57x
420 + 42x = 57x
420 = 57x - 42x
420 = 15x
x = (420÷15)
x = 28

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Neil is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than u
Fynjy0 [20]

Answer:

The probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

Step-by-step explanation:

Given:

Weight of a given sample (x) = 2.33 oz

Mean weight (μ) = 1.75 oz

Standard deviation (σ) = 0.22 oz

The distribution is normal distribution.

So, first, we will find the z-score of the distribution using the formula:

z=\frac{x-\mu}{\sigma}

Plug in the values and solve for 'z'. This gives,

z=\frac{2.33-1.75}{0.22}=2.64

So, the z-score of the distribution is 2.64.

Now, we need the probability P(x\geq 2.33 )=P(z\geq  2.64).

From the normal distribution table for z-score equal to 2.64, the value of the probability is 0.9959. This is the area to the left of the curve or less than z-score value.

But, we need area more than the z-score value. So, the area is:

P(z\geq  2.64)=1-0.9959=0.0041=0.41\%

Therefore, the probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

5 0
3 years ago
What is the possible rational roots for this polynomial 6x³+5x²+10x+3=0
8090 [49]

Answer:

See below.

Step-by-step explanation:

Using the Rational Roots Theorem:

Factors of 3:   1, 3  ( = p).

Factors of 6:  1,2,3,6 ( = q).

Possible real  roots are a 1 or 3 from  p / q = +/- 1/1, +/- 3/1 , +/-1/2,  +/- 1/3 , +/- 1/6, +/- 3/2.

3 0
2 years ago
If log 3 = x and log 5 = y, express log 45 in terms of x and y.
Marysya12 [62]

Answer:

I believe that the answer is A

5 0
1 year ago
PLEASE HELP ME!!! The students in Suzanne's school are painting a rectangular mural outside the building that will be 15 feet by
Andrew [12]

Answer:

length of scale drawing = 9 feet

width of scale drawing = 3 feet

Step-by-step explanation:

Actual dimension  15 feet by 45 feet.

length = 45 feet

width = 15 feet

Dimension on drawing is 20% of actual dimension.

20% = 20/100

Thus,

20% of 15 feet = 20/100 * 15 feet = 3 feet

20% of 45 feet = 20/100 * 45 feet = 9 feet

Thus, length of scale drawing = 9 feet

width of scale drawing = 3 feet

4 0
3 years ago
At 1 pm, there were 16 seagulls on the beach. At 3 pm, there were 40 seagulls. What is the constant rate of change?
beks73 [17]
<span>The answer is (change of amount) / (change of time). For the change of amount, the numerator is 40 seagulls - 16 seagulls, leaving a total of 24 seagulls. For the change of time, the denominator is 3 pm - 1 pm, leaving a total of a 2 hour difference. The answer becomes 24 seagulls / 2 hours, or 12 seagulls per hour when simplified.</span>
4 0
3 years ago
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