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Aleksandr [31]
3 years ago
8

Find x, and then any unknown angles in the quadrilateral. x= ?

Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0

Answer:

x=65

other angle= 165

Step-by-step explanation:

quadrilaterals always have a total of 360 degrees

because of this you can set up an equation and solve

360=90+40+x+(4x-95)

360=130+5x-95

360=35+5x

325=5x

65=x

plug this in to find missing angle

4(65)-95=165

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conducted an experiment with orange, purple and blue colored lights to grow spinach. During their experiment, they conducted a c
LiRa [457]

Answer:

There is not enough evidence to reject the null hypothesis.

Their sum is greater than the probability value ,  the data does not fit the experiment and the null is  accepted.

Step-by-step explanation:

There are 3 colors so degrees of freedom = 3-1 = 2

The chi square value = 0.85

The p value for chi square =0.85 for 2 degrees of freedom for the left tailed test to be 0.34623 for 0.1,0.05 and 0.01 significance level.

There is not enough evidence to reject the null hypothesis.

The  p value for chi square =0.85 for 2 degrees of freedom for the right tailed test to be 0.65377 for 0.1,0.05 and 0.01 significance level.

There is not enough evidence to reject the null hypothesis.

Their sum is greater than the probability value ,  the data does not fit the experiment and the null is  accepted.

8 0
2 years ago
Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas
VladimirAG [237]

Complete Question

Valerie runs track and field. At meets, Valerie likes to buy protein bars, bananas, and sports drinks. Protein bars are $1, bananas are $0.50, and sports drinks are $2. Valerie has $10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars.

Let p represent the number of protein bars, b represent the number of bananas, and d represent the number of sports drinks that Valerie buys.

Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answer:

The statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

Step-by-step explanation:

Lets represent

The number of protein bars as p.

The number of bananas as b.

The number of sports drinks that Valerie buys as d.

From the question:

We are told

Protein bars are $1

Bananas are $0.50

Sports drinks are $2.

She will spend no more than twice as much on sports drinks as bananas

d ≤ 2b = d < 2b

At least three times as much on bananas as protein bars.

b ≥ 3p = b > 3p

We are also told that:

Valerie has $10 to spend.

Hence:

$1 × p + $0.50 × b + $2 × d < $10

= p + 0.5b + 2d < 10

Therefore, the statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

5 0
2 years ago
Write at least 2 numerical expressions for each written phrase below. Then, solve.
zloy xaker [14]

Answer:

a. \frac{3}{5}(7)\text{ or }\frac{3\times 7}{5}

b. \frac{1}{6}(4\times 8)\text{ or }\frac{4\times 8}{6}

Step-by-step explanation:

In numerical expressions we write numbers with the mathematical symbols (  i.e. '+', '-' etc )

a. Given phrase,

Three fifths of seven,

\frac{3}{5}(7)

=\frac{3\times 7}{5}

=\frac{21}{5}

=4\frac{1}{5}

b. One sixth the product of four and eight,

\frac{1}{6}(4\times 8)

=\frac{4\times 8}{6}

=\frac{32}{6}

=5\frac{1}{3}

7 0
3 years ago
4. Cynthia spent 3/4 of her time at the gym on the stair machine. She spent a total of 21 3/4 minutes on the stair machine. Cynt
VashaNatasha [74]

Answer:

Step-by-step explanation:

29 min

6 0
3 years ago
The probability of drawing two aces from a standard deck is 0.0059. We know this probability, but we don't know if the first car
ivanzaharov [21]

Answer:

Option C is right

C. They are independent because, based on the probability, the first ace was replaced before drawing the second ace.

Step-by-step explanation:

Given that the  probability of drawing two aces from a standard deck is 0.0059

If first card is drawn and replaced then this probability would change.  By making draws with replacement we make each event independent of the other

Drawing ace in I draw has probability equal to 4/52, when we replace the I card again drawing age has probability equal to same 4/52

So if the two draws are defined as event A and event B,  the events are  independent

C. They are independent because, based on the probability, the first ace was replaced before drawing the second ace.

4 0
2 years ago
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