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2 years ago

How do I simplify 8(12+a) please quick

Mathematics

2 answers:

Kitty [74]2 years ago

5 0

8x12=96
8xa=8a
96+8a
you distribute

velikii [3]2 years ago

3 0

8(12+a)

expand

8*12+8*a=

96+8a

Steps shown above

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Suppose that in a random selection of 100 colored candies, 28% of them are blue. The candy company claims that the percentage

Zigmanuir [339]

Answer:

We conclude that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

We are given that in a random selection of 100 colored candies, 28% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%.

Let p = population percentage of blue candies

So, Null Hypothesis, $H_0$ : p = 29% {means that the percentage of blue candies is equal to 29%}

Alternate Hypothesis, $H_A$ : p $\neq$ 29% {means that the percentage of blue candies is different from 29%}

The test statistics that will be used here is One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of blue coloured candies = 28%

n = sample of colored candies = 100

So, the test statistics = $\frac{0.28-0.29}{\sqrt{\frac{0.29(1-0.29)}{100} } }$

= -0.22

The value of the z-test statistics is -0.22.

Also, the P-value of the test statistics is given by;

P-value = P(Z < -0.22) = 1 - P(Z $\leq$ 0.22)

= 1 - 0.5871 = 0.4129

Now, at a 0.10 level of significance, the z table gives a critical value of -1.645 and 1.645 for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of z, so we insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the percentage of blue candies is equal to 29%.

4 0

3 years ago

In ΔBCD, \overline{BD} BD is extended through point D to point E, m∠CDE = (6x-13)^{\circ}(6x−13) ∘ , m∠BCD = (2x+10)^{\circ}(2x+

AveGali [126]

Answer:

m∠CDE = 35°

Step-by-step explanation:

The exterior angle CDE is equal to the sum of the opposite interior angles, BCD and DBC. So, you have ...

6x -13 = (2x+10) +(x +1)

3x -24 = 0 . . . . . . . . . . . . subtract the right side, simplify

x -8 = 0 . . . . . . . . . . . . . . divide by 3

x = 8 . . . . . . . . . . . . . . . . . add 8

6x -13 = 6·8 -13 = 35 . . . . substitute for x in the expression for CDE

The measure of angle CDE is 35°.

7 0

3 years ago

If anyone can please help me

MA_775_DIABLO [31]

Answer:

1/4

Step-by-step explanation:

5 orange + 5 mango = 10

P( mango ) = mango /total = 5/10 = 1/2

Replace

5 orange + 5 mango = 10

P(orange ) = orange /total = 5/10 = 1/2

P(mange, replace, orange) = 1/2 * 1/2 = 1/4

4 0

3 years ago

Suppose the current cost of gasoline is

Elodia [21]

Answer:

The current price index number is $604.2.

Step-by-step explanation:

The index value is the ratio between the current value and the reference value, multiplied by 100.

In this problem, we have that:

Current value = $3.48

Reference value: $0.576

Index price = (3.48/0.576)*100 = $604.2.

The current price index number is $604.2.

4 0

3 years ago

Olivia needs 54 licks for every 3 lollipop she licks

Lesechka [4]

Answer:

PLEASE BUY ME BITEABLE ACCOUNT. COSTS 19 DOLLARS! PLEASE ANYONE!

Step-by-step explanation:

To find how many licks she does to 1 lollipop, 54 divided by 3 which is 18. So, 18 licks/lollipop. 36/18=2. Which means Olivia licks 2 lollipops in 36 licks. To find 5 lollipops, 18*5=90. She licks 5 lollipops in 90 licks.

8 0

3 years ago