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mina [271]
2 years ago
5

Find the measures of the numbered angles in each kite.

Mathematics
1 answer:
Vlad [161]2 years ago
8 0

Answer:

x = 19°

y = 31°

Step-by-step explanation:

5x = 7x - 38

2x = 38

x = 19

y = 180 - 54 - 5(19)

y = 31

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For what values of x is the inequality 2/3 + x/3 >1 true?
Travka [436]

Answer:

B

Step-by-step explanation:

\frac{2}{3} + \frac{x}{3} > 1 ( multiply through by 3 to clear the fractions )

2 + x > 3 ( subtract 2 from both sides )

x > 1

6 0
2 years ago
A box is filled with 400-g packets of noodles. The box weighs 6 kg in total. Three packets are removed from the box. How much do
andrew-mc [135]
The box will weight 4.8 kilograms
4 0
2 years ago
If bolt thread length is normally distributed, what is the probability that the thread length of a randomly selected bolt is Wit
KatRina [158]

Answer:

a) 0.5762

b) 0.0214

c) 0.2718

Step-by-step explanation:

It is given that lengths of the bolt thread are normally distributed. So in order to find the required probability we can use the concept of z distribution and z scores.

Part a) Probability that length is within 0.8 SDs of the mean

We have to calculate the probability that the length of a bolt thread is within 0.8 standard deviations of the mean. Recall that a z- score tells us that how many standard deviations away a value is from the mean. So, indirectly we are given the z-scores here.

Within 0.8 SDs of the mean, means from a score of -0.8  to +0.8. i.e. we have to calculate:

P(-0.8 < z < 0.8)

We can find these values from the z table.

P(-0.8 < z < 0.8) = P(z < 0.8) - P(z < -0.8)

= 0.7881 - 0.2119

= 0.5762

Thus, the probability that the thread length of a randomly selected bolt is within 0.8 SDs of its mean value is 0.5762

Part b) Probability that length is farther than 2.3 SDs from the mean

As mentioned in previous part, 2.3 SDs means a z-score of 2.3.

2.3 Standard Deviations farther from the mean, means the probability that z scores is lesser than - 2.3 or greater than 2.3

i.e. we have to calculate:

P(z < -2.3 or z > 2.3)

According to the symmetry rules of z-distribution:

P(z < -2.3 or z > 2.3) = 1 - P(-2.3 < z < 2.3)

We can calculate P(-2.3 < z < 2.3) from the z-table, which comes out to be 0.9786. So,

P(z < -2.3 or z > 2.3) = 1 - 0.9786

= 0.0214

Thus, the probability that a bolt length is 2.3 SDs farther from the mean is 0.0214

Part c) Probability that length is between 1 and 2 SDs from the mean value

Between 1 and 2 SDs from the mean value can occur both above the mean and below the mean.

For above the mean: between 1 and 2 SDs means between the z scores 1 and 2

For below the mean: between 1 and 2 SDs means between the z scores -2 and -1

i.e. we have to find:

P( 1 < z < 2) + P(-2 < z < -1)

According to the symmetry rules of z distribution:

P( 1 < z < 2) + P(-2 < z < -1) = 2P(1 < z < 2)

We can calculate P(1 < z < 2) from the z tables, which comes out to be: 0.1359

So,

P( 1 < z < 2) + P(-2 < z < -1) = 2 x 0.1359

= 0.2718

Thus, the probability that the bolt length is between 1 and 2 SDs from its mean value is 0.2718

4 0
3 years ago
What is the value of expression below?
aleksandr82 [10.1K]

\huge\text{Hey there!}

\huge\boxed{\mathsf{\sqrt{49} + 2\times6}}\\\\\huge\boxed{= \mathsf{\bold{7}+ 2\times6}}\\\\\huge\boxed{= \mathsf{7 + \bf 12}}\\\\\huge\boxed{\mathsf{= \bf 19}}\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{19}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

3 0
2 years ago
What is the equal equation?
Nataly_w [17]
We can use the distributive property to simplify this expression.

I split this up into different parts--it helps me visualize better.

To begin, "-2m(m + n - 4)" becomes "-2m^2 - 2mn + 8m"

Then, "5(-2m + 2n)" becomes "-10m + 10n"

Finally, "n(m + 4n - 5)" becomes "mn + 4n^2 -n"

We can then simplify even further by combining like terms. The final expression is: C

Hope this helps!
3 0
3 years ago
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